proved(t10_aff_1, aff_1, [d7_realset2],[dt_l1_analoaf,existence_m1_subset_1],[1,15]).
proved(t21_aff_1, aff_1, [d1_aff_1,d7_diraf,t47_diraf,t49_diraf],[dt_l1_analoaf,existence_m1_subset_1],[3,40]).
proved(t31_aff_1, aff_1, [d3_aff_1,d7_diraf,t26_aff_1,t49_diraf,t4_subset],[dt_l1_analoaf,existence_m1_subset_1,redefinition_k2_aff_1],[5,59]).
proved(t32_aff_1, aff_1, [t31_aff_1,t4_subset],[existence_m1_subset_1],[2,24]).
proved(t49_aff_1, aff_1, [t37_aff_1,t40_aff_1,t48_aff_1,t4_subset],[dt_l1_analoaf],[3,25]).
proved(t66_aff_1, aff_1, [t37_aff_1,t4_subset],[dt_l1_analoaf],[1,17]).
proved(t69_aff_1, aff_1, [d7_diraf,t13_aff_1,t15_aff_1,t18_aff_1,t47_diraf,t68_aff_1],[dt_l1_analoaf,existence_m1_subset_1],[6,57]).
proved(t33_afproj, afproj, [t23_afproj,t27_afproj],[dt_l1_analoaf,existence_m1_subset_1],[2,20]).
proved(t35_afproj, afproj, [t34_afproj],[dt_l1_analoaf],[1,24]).
proved(t3_afproj, afproj, [t2_afproj],[dt_l1_analoaf],[1,20]).
proved(t13_afvect01, afvect01, [d1_afvect0,d2_afvect01,d4_afvect01,t2_afvect01,t6_afvect01],[dt_l1_analoaf,existence_m1_subset_1],[3,62]).
proved(t4_afvect01, afvect01, [d2_afvect01,t2_afvect01,t3_afvect01],[dt_l1_analoaf,existence_m1_subset_1],[3,47]).
proved(t29_afvect0, afvect0, [d1_afvect0,d7_realset2,t27_afvect0,t28_afvect0],[dt_l1_analoaf,existence_m1_subset_1,symmetry_r1_afvect0],[2,46]).
proved(t37_afvect0, afvect0, [d1_afvect0,t36_afvect0],[dt_l1_analoaf,existence_m1_subset_1],[2,33]).
proved(t38_afvect0, afvect0, [d1_afvect0,t36_afvect0],[dt_k1_afvect0,dt_l1_analoaf,existence_m1_subset_1],[2,34]).
proved(t3_afvect0, afvect0, [t2_afvect0],[],[2,11]).
proved(t70_afvect0, afvect0, [d7_realset2,t20_tdgroup,t22_tdgroup,t7_tdgroup,t9_tdgroup],[dt_k2_tdgroup,dt_l1_rlvect_1,dt_l2_struct_0,existence_m1_subset_1,fc2_tdgroup],[4,67]).
proved(t7_afvect0, afvect0, [d1_afvect0,t2_afvect0],[dt_l1_analoaf,existence_m1_subset_1],[3,34]).
proved(t8_afvect0, afvect0, [d1_afvect0,t4_afvect0],[dt_l1_analoaf,existence_m1_subset_1],[3,38]).
proved(t8_alg_1, alg_1, [d2_alg_1,d3_alg_1,d4_alg_1,t21_funct_2],[cc1_relset_1,dt_k7_funct_2,dt_l1_unialg_1,dt_m2_relset_1,fc1_struct_0,fc6_membered,redefinition_k7_funct_2,redefinition_m2_relset_1],[3,111]).
proved(t11_algspec1, algspec1, [d3_pboole,t10_algspec1],[dt_k1_algspec1,dt_m1_pboole,reflexivity_r6_pboole],[2,21]).
proved(t14_algspec1, algspec1, [d3_tarski,t13_algspec1,t6_boole,t7_boole],[fc4_relat_1,rc2_funct_1,redefinition_k6_partfun1,spc0_boole],[2,22]).
proved(t17_algspec1, algspec1, [d3_pboole,t6_boole,t71_relat_1],[dt_k1_algspec1,dt_k6_relat_1,dt_m1_pboole,fc2_funct_1,fc5_relat_1,fc8_relat_1,spc0_boole],[4,33]).
proved(t47_algspec1, algspec1, [d2_instalg1,d5_algspec1,t9_instalg1],[cc6_instalg1,dt_m1_instalg1],[2,21]).
proved(t58_algspec1, algspec1, [d7_algspec1,t48_algspec1],[dt_m2_algspec1,dt_m4_algspec1,rc5_catalg_1],[2,36]).
proved(t15_algstr_2, algstr_2, [d7_algstr_2,d8_algstr_2],[commutativity_k4_rlvect_1,dt_k1_algstr_2,dt_l1_rlvect_1,redefinition_k4_rlvect_1],[3,39]).
proved(t11_altcat_1, altcat_1, [d1_cat_1,t42_cqc_lang],[],[0,7]).
proved(t12_altcat_1, altcat_1, [t43_cqc_lang],[],[0,4]).
proved(t23_altcat_1, altcat_1, [t21_altcat_1,t2_subset,t6_boole],[dt_k8_altcat_1],[2,18]).
proved(t5_altcat_1, altcat_1, [d1_tarski,t113_zfmisc_1,t121_funct_2,t14_funct_2,t64_funct_5,t6_boole,t8_boole],[fc12_relat_1,fc1_fraenkel,fc1_funct_2,fc4_relat_1,fc4_subset_1,redefinition_k1_fraenkel],[2,45]).
proved(t31_altcat_2, altcat_2, [d13_altcat_2,t27_altcat_2],[cc2_altcat_2],[2,32]).
proved(t1_arytm_0, arytm_0, [d1_numbers,t3_arytm_2,t40_zfmisc_1,t6_boole,t7_xboole_1],[redefinition_k12_arytm_3,spc0_boole],[3,15]).
proved(t20_arytm_0, arytm_0, [d5_arytm_0],[redefinition_k13_arytm_3],[1,19]).
proved(t26_arytm_0, arytm_0, [d7_arytm_0,t10_arytm_0],[],[2,12]).
proved(t3_arytm_0, arytm_0, [d1_numbers,d1_tarski,d4_xboole_0,t3_boole,t6_boole],[antisymmetry_r2_hidden,redefinition_k12_arytm_3,spc0_boole],[6,18]).
proved(t6_arytm_0, arytm_0, [d2_arytm_1,t4_arytm_1,t9_arytm_1],[connectedness_r1_arytm_2,dt_k12_arytm_3,fc1_zfmisc_1,redefinition_k12_arytm_3],[3,24]).
proved(t10_arytm_1, arytm_1, [d1_arytm_1,d8_arytm_2],[dt_k1_arytm_1,redefinition_k12_arytm_3],[3,19]).
proved(t18_arytm_1, arytm_1, [d1_arytm_1,d2_arytm_1,t10_arytm_2,t1_arytm_1,t1_subset,t20_arytm_2,t21_arytm_2],[commutativity_k7_arytm_2,connectedness_r1_arytm_2,dt_k7_arytm_2,redefinition_k12_arytm_3],[4,40]).
proved(t25_arytm_1, arytm_1, [t24_arytm_1],[commutativity_k7_arytm_2],[2,17]).
proved(t5_arytm_1, arytm_1, [t10_arytm_2,t6_arytm_2],[redefinition_k12_arytm_3],[2,16]).
proved(t6_arytm_1, arytm_1, [t15_arytm_2,t5_arytm_1],[connectedness_r1_arytm_2,redefinition_k12_arytm_3,redefinition_k13_arytm_3],[2,29]).
proved(t9_arytm_1, arytm_1, [d1_arytm_1,d1_tarski,d1_xboole_0,d3_tarski,d8_arytm_2,t15_arytm_2,t19_arytm_2,t1_subset,t2_subset,t3_subset,t3_xboole_1,t5_arytm_1,t5_subset,t6_arytm_1],[connectedness_r1_arytm_2,connectedness_r3_arytm_3,dt_k13_arytm_3,dt_k1_arytm_1,dt_k4_ordinal2,dt_k8_arytm_2,existence_m1_subset_1,idempotence_k3_xboole_0,redefinition_k12_arytm_3,redefinition_k13_arytm_3,reflexivity_r1_tarski],[10,217]).
proved(t11_arytm_2, arytm_2, [d1_arytm_2,d1_xboole_0,d5_arytm_2,t10_arytm_2,t1_subset,t3_subset,t4_boole],[cc3_arytm_3,connectedness_r1_arytm_2,fc1_arytm_2,fc1_ordinal2,fc2_ordinal1,fraenkel_a_0_0_arytm_2,rc3_arytm_3],[3,55]).
proved(t21_arytm_2, arytm_2, [d21_ordinal2,d3_tarski,t1_arytm_2,t34_arytm_3,t6_boole],[antisymmetry_r2_hidden,dt_k12_arytm_3,dt_k4_ordinal2,fc1_arytm_3,fc2_ordinal1,rc3_arytm_3,redefinition_k12_arytm_3,redefinition_k13_arytm_3],[5,44]).
proved(t2_arytm_2, arytm_2, [t1_arytm_2,t1_xboole_1,t34_arytm_3],[],[2,7]).
proved(t102_arytm_3, arytm_3, [d10_arytm_3,t61_arytm_3,t72_arytm_3,t73_arytm_3,t83_arytm_3,t85_arytm_3],[commutativity_k10_arytm_3,dt_k10_arytm_3,dt_k12_arytm_3,rc2_arytm_3,rc3_arytm_3],[3,48]).
proved(t14_arytm_3, arytm_3, [d2_arytm_3,t55_ordinal2,t56_ordinal2],[cc1_ordinal1,dt_k15_ordinal2,dt_k4_ordinal2,fc1_arytm_3,fc2_ordinal1,rc1_ordinal2],[4,35]).
proved(t20_arytm_3, arytm_3, [d21_ordinal2,d2_arytm_3,d4_arytm_3,d5_ordinal2,t18_arytm_3,t19_arytm_3,t1_subset,t52_ordinal2],[cc1_ordinal1,cc3_arytm_3,dt_k4_arytm_3,fc2_ordinal1,rc1_ordinal2],[3,65]).
proved(t23_arytm_3, arytm_3, [d21_ordinal2,d2_arytm_3,d4_arytm_3,t11_arytm_3,t17_arytm_3,t18_arytm_3,t19_arytm_3,t1_subset,t20_arytm_3,t21_arytm_3,t22_arytm_3,t52_ordinal2,t55_ordinal2,t56_ordinal2,t6_boole,t81_ordinal3,t84_ordinal3,t8_boole],[cc2_arytm_3,cc3_arytm_3,cc3_ordinal1,commutativity_k2_arytm_3,commutativity_k4_arytm_3,dt_k15_ordinal2,dt_k4_arytm_3,dt_k4_ordinal2,fc1_arytm_3,fc2_ordinal1,fc5_arytm_3,fc7_arytm_3,rc1_ordinal2,redefinition_k2_arytm_3],[5,216]).
proved(t27_arytm_3, arytm_3, [d21_ordinal2,d5_arytm_3,t18_arytm_3,t19_arytm_3,t1_subset,t24_arytm_3,t52_ordinal2,t56_ordinal2,t6_arytm_3,t6_boole,t81_ordinal3],[cc1_ordinal1,cc2_arytm_3,cc3_arytm_3,cc3_ordinal1,commutativity_k4_arytm_3,dt_k4_ordinal2,fc1_arytm_3,fc2_ordinal1,rc2_subset_1,redefinition_k2_arytm_3],[4,103]).
proved(t28_arytm_3, arytm_3, [d21_ordinal2,d2_arytm_3,d4_arytm_3,d5_arytm_3,t11_arytm_3,t17_ordinal3,t19_arytm_3,t1_subset,t24_ordinal1,t25_arytm_3,t26_arytm_3,t27_arytm_3,t2_arytm_3,t2_subset,t3_subset,t3_xboole_1,t41_ordinal3,t4_subset,t55_ordinal2,t56_ordinal2,t5_subset,t6_arytm_3,t6_boole,t7_ordinal1,t81_ordinal3,t8_boole],[cc1_arytm_3,cc1_ordinal1,cc2_arytm_3,cc3_arytm_3,cc3_ordinal1,commutativity_k2_arytm_3,commutativity_k4_arytm_3,dt_k4_arytm_3,dt_k4_ordinal2,dt_k5_arytm_3,existence_m1_subset_1,fc1_arytm_3,fc1_ordinal2,fc1_subset_1,fc2_ordinal1,rc1_ordinal2,rc1_subset_1,rc2_subset_1,redefinition_k2_arytm_3,reflexivity_r1_tarski,reflexivity_r2_arytm_3,symmetry_r1_arytm_3],[10,430]).
proved(t29_arytm_3, arytm_3, [t28_arytm_3,t6_arytm_3],[cc1_ordinal1,dt_k4_ordinal2,fc1_arytm_3,symmetry_r1_arytm_3],[3,27]).
proved(t30_arytm_3, arytm_3, [d21_ordinal2,d5_arytm_3,t1_subset,t23_arytm_3],[cc3_arytm_3,commutativity_k4_arytm_3],[3,36]).
proved(t34_arytm_3, arytm_3, [d6_arytm_3,t7_xboole_1],[commutativity_k2_xboole_0],[1,7]).
proved(t38_arytm_3, arytm_3, [t1_subset,t36_arytm_3],[cc3_arytm_3],[2,7]).
proved(t41_arytm_3, arytm_3, [d7_mcart_1,d8_arytm_3,t33_zfmisc_1,t35_arytm_3,t50_mcart_1],[dt_k4_ordinal2,dt_k8_arytm_3,existence_m1_subset_1,fc2_ordinal1,fc8_arytm_3,rc1_ordinal2],[3,44]).
proved(t42_arytm_3, arytm_3, [d1_mcart_1,d2_mcart_1,d7_arytm_3,d8_arytm_3,t35_arytm_3],[cc3_arytm_3,dt_k8_arytm_3,existence_m1_subset_1,fraenkel_a_0_0_arytm_3,rc1_ordinal2],[6,84]).
proved(t44_arytm_3, arytm_3, [d3_tarski,d6_arytm_3,d8_arytm_3,t1_subset,t42_arytm_3,t7_xboole_1],[antisymmetry_r2_hidden,cc2_ordinal1,cc3_arytm_3,cc4_arytm_3,commutativity_k2_xboole_0,dt_k8_arytm_3,rc1_ordinal2],[3,51]).
proved(t47_arytm_3, arytm_3, [d9_arytm_3,t32_arytm_3],[cc1_ordinal1],[2,17]).
proved(t49_arytm_3, arytm_3, [d21_ordinal2,t1_subset,t28_arytm_3,t48_arytm_3],[cc3_arytm_3,symmetry_r1_arytm_3],[2,44]).
proved(t61_arytm_3, arytm_3, [t58_arytm_3,t59_arytm_3,t60_arytm_3],[commutativity_k11_arytm_3,dt_k11_arytm_3,dt_k13_arytm_3,rc3_arytm_3],[4,25]).
proved(t6_arytm_3, arytm_3, [d1_arytm_3,t41_ordinal3,t56_ordinal2],[cc1_ordinal1,dt_k4_ordinal2,fc1_arytm_3,rc1_ordinal2],[2,27]).
proved(t71_arytm_3, arytm_3, [d12_arytm_3,t56_arytm_3],[commutativity_k10_arytm_3,dt_k12_arytm_3,rc3_arytm_3],[2,12]).
proved(t72_arytm_3, arytm_3, [d12_arytm_3,t70_arytm_3],[dt_k12_arytm_3,rc3_arytm_3],[2,14]).
proved(t75_arytm_3, arytm_3, [t60_arytm_3,t6_boole,t72_arytm_3,t73_arytm_3],[connectedness_r3_arytm_3,rc2_subset_1,rc3_arytm_3,redefinition_k12_arytm_3],[4,79]).
proved(t76_arytm_3, arytm_3, [t60_arytm_3,t6_boole,t71_arytm_3,t72_arytm_3,t73_arytm_3,t74_arytm_3],[connectedness_r3_arytm_3,rc2_subset_1,rc3_arytm_3,redefinition_k12_arytm_3],[3,87]).
proved(t77_arytm_3, arytm_3, [t74_arytm_3],[connectedness_r3_arytm_3],[2,15]).
proved(t82_arytm_3, arytm_3, [d4_ordinal2,t14_ordinal1,t19_ordinal2,t19_ordinal3,t1_subset,t23_ordinal1,t2_subset,t35_arytm_3,t48_ordinal2,t4_subset,t5_subset,t64_arytm_3,t6_boole,t70_arytm_3,t71_arytm_3,t72_arytm_3,t80_arytm_3,t81_arytm_3,t8_boole],[cc3_arytm_3,cc4_arytm_3,connectedness_r1_ordinal1,connectedness_r3_arytm_3,dt_k10_arytm_3,dt_k12_arytm_3,dt_k13_arytm_3,existence_m1_subset_1,fc1_arytm_3,fc1_ordinal2,fc1_zfmisc_1,fraenkel_a_1_0_arytm_3,rc2_arytm_3,rc2_subset_1,rc3_arytm_3,redefinition_k12_arytm_3,redefinition_k13_arytm_3,redefinition_k1_arytm_3],[8,271]).
proved(t86_arytm_3, arytm_3, [t54_arytm_3,t62_arytm_3],[dt_k12_arytm_3],[2,15]).
proved(t97_arytm_3, arytm_3, [t73_arytm_3],[],[1,8]).
proved(t29_autalg_1, autalg_1, [d5_msualg_1,t22_autalg_1],[dt_k4_autalg_1,dt_l1_msualg_1,dt_l3_msualg_1,dt_m1_autalg_1,dt_m2_autalg_1,dt_u4_msualg_1,reflexivity_r1_pzfmisc1],[3,41]).
proved(t25_autgroup, autgroup, [t24_autgroup,t2_subset,t34_funct_1,t6_boole],[cc1_funct_2,cc1_group_1,cc4_funct_2,dt_k2_group_1,dt_k4_autgroup,dt_k6_autgroup,dt_k6_partfun1,dt_k6_relat_1,dt_l1_group_1,fc1_struct_0,fc1_xboole_0,fc2_funct_1,fc2_partfun1,redefinition_k6_partfun1,redefinition_k8_funct_2,redefinition_m2_fraenkel,redefinition_m2_relset_1],[5,76]).
proved(t27_autgroup, autgroup, [t19_group_1,t23_autgroup,t26_autgroup],[cc1_group_1,dt_k3_group_1,dt_l1_group_1],[2,28]).
proved(t10_binari_5, binari_5, [d16_margrel1,d1_binari_5,d2_binari_5,t16_binarith,t17_binarith,t19_binarith,t2_binari_5,t38_margrel1,t39_margrel1,t5_binari_5,t7_binarith],[dt_k9_margrel1,fc1_binari_5,fc2_binarith],[2,71]).
proved(t11_binari_5, binari_5, [d2_binari_5,t10_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t5_binari_5,t7_binarith],[cc1_bvfunc_1,commutativity_k3_binari_5,dt_k9_margrel1,fc2_binari_5],[2,58]).
proved(t12_binari_5, binari_5, [d16_margrel1,t10_binari_5,t11_binari_5,t41_margrel1,t5_binari_5],[involutiveness_k9_margrel1],[2,36]).
proved(t13_binari_5, binari_5, [d16_margrel1,d2_binari_5,t11_binari_5,t12_binari_5,t19_binarith,t21_binarith,t39_margrel1,t7_binarith],[cc1_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[2,75]).
proved(t14_binari_5, binari_5, [t10_binari_5,t11_binari_5,t2_binari_5,t39_margrel1,t41_margrel1,t46_margrel1,t47_margrel1,t5_binari_5],[dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[2,66]).
proved(t15_binari_5, binari_5, [d16_margrel1,d1_binari_5,d2_binari_5,t12_binarith,t13_binari_5,t16_binarith,t24_binarith,t39_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,commutativity_k3_binari_5,dt_k8_margrel1,fc1_binari_5,fc1_binarith,fc2_binari_5,fc5_margrel1],[5,133]).
proved(t16_binari_5, binari_5, [d16_margrel1,d1_binari_5,d2_binari_5,t10_binarith,t11_binari_5,t12_binari_5,t14_binari_5,t19_binarith,t26_binarith,t35_binarith,t41_margrel1,t49_margrel1,t50_margrel1,t7_binarith],[cc1_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[7,154]).
proved(t17_binari_5, binari_5, [d2_binari_5,d3_binari_5,t13_binarith,t17_binarith,t2_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t5_binari_5,t7_binarith],[cc1_bvfunc_1,commutativity_k5_binari_5,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[2,74]).
proved(t18_binari_5, binari_5, [d2_binari_5,d2_bvfunc_1,d3_binari_5,t13_binarith,t14_binari_5,t19_binarith,t35_binarith,t39_margrel1,t50_margrel1,t5_binari_5,t7_binarith],[cc1_bvfunc_1,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k9_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[2,81]).
proved(t19_binari_5, binari_5, [t14_binari_5,t17_binari_5,t18_binari_5,t39_margrel1,t5_binari_5],[],[2,30]).
proved(t1_binari_5, binari_5, [d16_margrel1,d1_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1],[cc1_bvfunc_1,commutativity_k10_margrel1,dt_k9_margrel1,fc1_binari_5],[2,62]).
proved(t20_binari_5, binari_5, [d16_margrel1,d2_bvfunc_1,d3_binari_5,t13_binarith,t14_binarith,t18_binari_5,t46_margrel1,t47_margrel1],[involutiveness_k9_margrel1],[2,38]).
proved(t21_binari_5, binari_5, [t10_binari_5,t14_binari_5,t17_binari_5,t18_binari_5,t19_binari_5,t2_binari_5,t39_margrel1,t41_margrel1],[dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[2,68]).
proved(t22_binari_5, binari_5, [d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,d3_bvfunc_1,t14_binarith,t19_binarith,t24_binarith,t35_binarith,t39_margrel1,t41_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t4_binari_5,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k2_binarith,connectedness_r1_xreal_0,dt_k7_margrel1,dt_k9_margrel1,fc1_binari_5,fc1_bvfunc_1,fc2_binari_5,fc2_bvfunc_1,involutiveness_k9_margrel1,reflexivity_r1_xreal_0],[8,315]).
proved(t24_binari_5, binari_5, [d16_margrel1,d17_margrel1,d1_bvfunc_1,d2_binari_5,d2_binarith,d2_bvfunc_1,d3_binari_5,t10_binari_5,t10_binarith,t17_binari_4,t17_binari_5,t19_binari_5,t21_binari_5,t23_binari_5,t46_margrel1,t47_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k9_margrel1,existence_m1_subset_1,fc2_binari_5,involutiveness_k9_margrel1],[4,223]).
proved(t25_binari_5, binari_5, [d16_margrel1,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,d3_binari_5,t17_binari_4,t17_binari_5,t1_binari_5,t23_binari_5,t46_margrel1,t47_margrel1,t50_margrel1,t7_binarith],[commutativity_k1_binarith,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[4,89]).
proved(t26_binari_5, binari_5, [d1_bvfunc_1,d2_bvfunc_1,d3_binari_5,t17_binari_4,t17_binari_5,t19_binari_5,t1_binari_5,t23_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t50_margrel1],[commutativity_k1_binarith,dt_k9_margrel1,fc1_binari_5],[3,73]).
proved(t27_binari_5, binari_5, [d16_margrel1,d2_binari_5,d2_bvfunc_1,d3_binari_5,t10_binarith,t14_binari_5,t17_binari_5,t17_binarith,t19_binari_5,t1_binari_5,t2_binari_5,t7_binarith],[cc1_bvfunc_1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc2_binarith,fc2_bvfunc_1,fc3_binari_5,involutiveness_k9_margrel1],[4,138]).
proved(t28_binari_5, binari_5, [d16_margrel1,d1_bvfunc_1,d2_bvfunc_1,d3_binari_5,t18_binari_5,t19_binari_5,t39_margrel1,t45_margrel1,t46_margrel1,t47_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k9_margrel1,fc3_binari_5,involutiveness_k9_margrel1],[4,116]).
proved(t29_binari_5, binari_5, [d16_margrel1,d1_binari_5,d2_bvfunc_1,d3_binari_5,t18_binari_5,t19_binari_5,t21_binari_5,t45_margrel1,t46_margrel1,t47_margrel1,t50_margrel1],[cc1_bvfunc_1,commutativity_k2_bvfunc_1,dt_k9_margrel1,fc1_binari_5,fc2_bvfunc_1,fc3_binari_5,involutiveness_k9_margrel1],[6,151]).
proved(t2_binari_5, binari_5, [d15_margrel1,d16_margrel1,d18_margrel1,d1_binari_5,t16_binarith,t1_binari_5,t38_margrel1,t39_margrel1,t46_margrel1,t47_margrel1],[commutativity_k1_binari_5,dt_k9_margrel1,fc1_binari_5,fc6_margrel1],[2,65]).
proved(t30_binari_5, binari_5, [d16_margrel1,d1_binari_5,d1_bvfunc_1,t10_binarith,t19_binarith,t23_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k9_margrel1,fc1_binari_5,fc5_margrel1,involutiveness_k9_margrel1],[3,164]).
proved(t31_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,t10_binarith,t18_binarith,t19_binarith,t23_binari_5,t28_binari_5,t38_margrel1,t39_margrel1,t41_margrel1,t46_margrel1,t47_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k2_bvfunc_1,dt_k9_margrel1,existence_m1_subset_1,fc2_binari_5,fc2_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1],[7,171]).
proved(t32_binari_5, binari_5, [d16_margrel1,d1_bvfunc_1,d2_binarith,t10_binarith,t17_binari_4,t18_binarith,t19_binarith,t23_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k2_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k9_margrel1,fc1_binarith,fc2_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1],[4,185]).
proved(t33_binari_5, binari_5, [d17_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,d3_binari_5,t10_binarith,t17_binari_5,t23_binari_5,t41_margrel1,t45_margrel1,t46_margrel1,t47_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k5_binari_5,dt_k9_margrel1,fc1_binari_5,fc1_bvfunc_1,fc2_binari_5,fc2_binarith,fc3_binari_5,involutiveness_k9_margrel1],[11,267]).
proved(t34_binari_5, binari_5, [d1_bvfunc_1,t1_binari_5,t38_margrel1,t39_margrel1,t41_margrel1,t7_binarith],[cc1_bvfunc_1,dt_k9_margrel1,fc1_binari_5],[2,52]).
proved(t35_binari_5, binari_5, [d1_bvfunc_1,t19_binarith,t1_binari_5],[cc1_bvfunc_1,dt_k9_margrel1,fc1_binari_5],[3,31]).
proved(t36_binari_5, binari_5, [d1_binari_5,d1_bvfunc_1,d2_binari_5,t19_binari_5,t1_binari_5,t39_margrel1,t45_margrel1,t7_binarith,t9_binarith],[commutativity_k1_binari_5,dt_k9_margrel1,fc1_binari_5,fc1_bvfunc_1,fc2_binari_5,involutiveness_k9_margrel1],[3,81]).
proved(t37_binari_5, binari_5, [d1_bvfunc_1,t35_binari_5,t36_binari_5,t39_margrel1,t46_margrel1,t47_margrel1],[cc1_bvfunc_1],[2,42]).
proved(t38_binari_5, binari_5, [d1_bvfunc_1,d2_binari_5,t10_binarith,t19_binari_5,t19_binarith,t1_binari_5,t21_binari_5,t25_binari_5,t35_binari_5,t39_margrel1,t41_margrel1],[dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc3_binari_5,involutiveness_k9_margrel1],[4,132]).
proved(t39_binari_5, binari_5, [d1_binari_5,d1_bvfunc_1,d2_binari_5,t19_binarith,t35_binari_5,t37_binari_5,t39_margrel1,t43_margrel1,t45_margrel1,t46_margrel1,t47_margrel1,t5_binari_5,t7_binarith],[dt_k9_margrel1,fc1_binari_5,fc2_binari_5],[2,96]).
proved(t3_binari_5, binari_5, [d16_margrel1,t1_binari_5,t2_binari_5,t39_margrel1,t46_margrel1,t47_margrel1],[involutiveness_k9_margrel1],[2,31]).
proved(t40_binari_5, binari_5, [d16_margrel1,d17_margrel1,d1_bvfunc_1,d2_bvfunc_1,t10_binarith,t19_binarith,t21_binarith,t23_binari_5,t36_binari_5,t39_binari_5,t39_margrel1,t41_margrel1,t45_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k9_margrel1,fc1_bvfunc_1,fc2_binarith,involutiveness_k9_margrel1],[3,209]).
proved(t41_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,t10_binarith,t19_binarith,t23_binari_5,t35_binari_5,t36_binari_5,t37_binari_5,t38_margrel1,t39_margrel1,t41_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k1_binarith,dt_k9_margrel1,fc1_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1],[9,151]).
proved(t42_binari_5, binari_5, [d1_bvfunc_1,d3_bvfunc_1,t10_binarith,t19_binarith,t23_binari_5,t36_binari_5,t37_binari_5,t39_margrel1,t41_margrel1,t45_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,connectedness_r1_xreal_0,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,dt_m1_fraenkel,existence_m1_fraenkel,existence_m1_subset_1,fc1_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1,rc1_bvfunc_1],[7,362]).
proved(t43_binari_5, binari_5, [d1_bvfunc_1,t21_binarith,t35_binari_5,t36_binari_5,t37_binari_5,t39_margrel1,t41_margrel1],[cc1_margrel1,dt_k7_margrel1,dt_k8_margrel1,involutiveness_k9_margrel1],[5,65]).
proved(t44_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,t10_binarith,t21_binarith,t23_binari_5,t35_binari_5,t36_binari_5,t37_binari_5,t39_margrel1,t41_margrel1,t43_binari_5,t50_margrel1,t7_binarith,t9_binarith],[cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[6,155]).
proved(t45_binari_5, binari_5, [d1_bvfunc_1,t21_binarith,t36_binari_5,t37_binari_5,t39_binari_5,t39_margrel1,t41_margrel1],[cc1_margrel1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[5,80]).
proved(t46_binari_5, binari_5, [d1_bvfunc_1,t10_binarith,t23_binari_5,t35_binari_5,t36_binari_5,t37_binari_5,t39_margrel1,t41_binari_5,t41_margrel1,t42_binari_5,t43_binari_5,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1],[7,156]).
proved(t47_binari_5, binari_5, [d1_bvfunc_1,d3_bvfunc_1,t10_binarith,t23_binari_5,t36_binari_5,t37_binari_5,t39_binari_5,t39_margrel1,t41_binari_5,t41_margrel1,t42_binari_5,t43_binari_5,t50_margrel1,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binarith,fc2_bvfunc_1,involutiveness_k9_margrel1],[7,183]).
proved(t48_binari_5, binari_5, [d1_bvfunc_1,t19_binarith,t36_binari_5,t37_binari_5,t39_binari_5,t39_margrel1,t41_binari_5,t41_margrel1,t42_binari_5,t43_binari_5,t45_binari_5],[cc1_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binarith,involutiveness_k9_margrel1],[5,124]).
proved(t4_binari_5, binari_5, [d16_margrel1,d1_binari_5,t16_binarith,t1_binari_5,t39_margrel1,t3_binari_5,t46_margrel1,t47_margrel1,t49_margrel1],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binari_5,dt_k9_margrel1,fc1_binari_5],[2,100]).
proved(t50_binari_5, binari_5, [d1_bvfunc_1,t37_binari_5,t39_binari_5,t39_margrel1,t41_margrel1],[dt_k9_margrel1,involutiveness_k9_margrel1],[2,37]).
proved(t51_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,t35_binari_5,t36_binari_5,t37_binari_5,t41_margrel1,t43_binari_5,t50_margrel1],[cc1_margrel1,commutativity_k10_margrel1,dt_k8_margrel1,dt_k9_margrel1],[3,105]).
proved(t52_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,t10_binarith,t35_binari_5,t37_binari_5,t43_binari_5,t50_margrel1],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,dt_k7_margrel1,dt_k9_margrel1,fc1_binarith,fc1_bvfunc_1,fc5_margrel1,involutiveness_k9_margrel1,rc1_margrel1],[5,176]).
proved(t53_binari_5, binari_5, [d17_margrel1,d1_bvfunc_1,t10_binarith,t34_binari_5,t35_binari_5,t50_binari_5,t50_margrel1],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k9_margrel1,fc1_binarith,fc1_bvfunc_1,fc5_margrel1,involutiveness_k9_margrel1,rc1_margrel1],[5,146]).
proved(t54_binari_5, binari_5, [d17_margrel1,t35_binari_5,t37_binari_5,t50_margrel1],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,dt_k7_margrel1,dt_k8_margrel1,fc1_bvfunc_1],[4,80]).
proved(t55_binari_5, binari_5, [t25_binari_5,t37_binari_5,t43_binari_5,t49_binari_5],[cc1_bvfunc_1,cc1_margrel1,dt_k8_margrel1,fc1_bvfunc_1],[2,30]).
proved(t5_binari_5, binari_5, [d16_margrel1,t1_binari_5,t2_binari_5,t38_margrel1,t39_margrel1,t3_binari_5,t46_margrel1,t47_margrel1],[dt_k9_margrel1,fc1_binari_5,involutiveness_k9_margrel1],[2,60]).
proved(t6_binari_5, binari_5, [t1_binari_5,t39_margrel1,t3_binari_5,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t5_binari_5],[cc1_bvfunc_1,fc1_binari_5,fc5_margrel1],[3,95]).
proved(t7_binari_5, binari_5, [d17_margrel1,t16_binarith,t2_binari_5,t39_margrel1,t3_binari_5,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t5_binari_5],[cc1_bvfunc_1,dt_k9_margrel1,fc1_binari_5,fc5_margrel1],[3,108]).
proved(t9_binari_5, binari_5, [d16_margrel1,d1_binari_5,d2_bvfunc_1,t35_binarith,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_binarith,fc2_binarith,involutiveness_k9_margrel1],[4,83]).
proved(t10_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d17_margrel1,d1_binari_5,t14_binari_5,t8_binari_6,t9_binari_6],[commutativity_k10_margrel1,commutativity_k2_bvfunc_1,dt_k9_margrel1,fc1_binari_5,involutiveness_k9_margrel1],[2,85]).
proved(t11_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_binarith,d1_bvfunc_1,d2_binari_5,d2_binarith,d2_bvfunc_1,t10_binarith,t12_binarith,t15_binari_5,t16_binarith,t18_binarith,t19_binarith,t20_binarith,t22_binarith,t23_binari_5,t23_binarith,t25_binarith,t26_binarith,t27_binarith,t35_binarith,t41_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc1_binarith,fc1_bvfunc_1,fc2_binari_5,fc2_binarith,fc2_bvfunc_1,fc5_margrel1,involutiveness_k9_margrel1],[11,456]).
proved(t12_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,t10_binarith,t22_binarith,t27_binarith,t35_binarith,t39_margrel1,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc1_bvfunc_1,fc2_binari_5,involutiveness_k9_margrel1],[3,157]).
proved(t14_binari_6, binari_6, [d13_margrel1,d14_margrel1,d17_margrel1,t16_binarith,t39_margrel1,t50_margrel1],[],[3,40]).
proved(t15_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t16_binarith,t19_binarith,t24_binarith,t27_binarith,t39_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,existence_m1_subset_1,fc1_binarith,fc2_binari_5,fc5_margrel1,involutiveness_k9_margrel1],[2,157]).
proved(t16_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binarith,d2_bvfunc_1,d3_binari_5,t19_binarith,t35_binarith,t46_margrel1,t47_margrel1,t49_margrel1,t4_binari_6,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binarith,fc3_binari_5,involutiveness_k9_margrel1],[3,168]).
proved(t17_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_bvfunc_1,t18_binarith,t39_margrel1,t45_margrel1,t46_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_margrel1,dt_k7_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[3,89]).
proved(t18_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,t16_binarith,t19_binarith,t23_binari_5,t25_binarith,t39_margrel1,t41_margrel1,t46_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_bvfunc_1,involutiveness_k9_margrel1],[4,147]).
proved(t19_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,t10_binarith,t12_binari_6,t15_binari_5,t16_binari_6,t16_binarith,t1_binari_5,t23_binari_5,t26_binarith,t35_binarith,t3_binari_5,t46_margrel1,t49_margrel1,t4_binari_5,t4_binari_6,t50_margrel1,t5_binari_5,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k3_binari_5,dt_k9_margrel1,fc1_binari_5,fc1_binarith,fc1_bvfunc_1,fc2_binarith,fc5_margrel1,involutiveness_k9_margrel1],[7,436]).
proved(t1_binari_6, binari_6, [d14_margrel1,d1_bvfunc_1,d2_bvfunc_1,t23_binari_5,t25_binari_5,t37_binari_5,t43_binari_5,t45_binari_5,t50_margrel1],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k8_margrel1,dt_k9_margrel1,fc1_binarith,fc1_bvfunc_1,fc2_binarith,involutiveness_k9_margrel1],[8,83]).
proved(t20_binari_6, binari_6, [d13_margrel1,d14_margrel1,t10_binari_5,t11_binari_5,t39_margrel1,t3_binari_6,t46_margrel1,t49_margrel1],[dt_k9_margrel1,fc2_binari_5],[2,52]).
proved(t26_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_bvfunc_1,t18_binarith,t19_binarith,t21_binarith,t39_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,dt_k8_margrel1,dt_k9_margrel1,fc1_bvfunc_1,involutiveness_k9_margrel1],[6,92]).
proved(t28_binari_6, binari_6, [d13_margrel1,d14_margrel1,t17_binari_4,t19_binarith,t1_binari_5,t2_binari_5,t39_margrel1],[dt_k9_margrel1,fc1_binari_5],[2,43]).
proved(t29_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_bvfunc_1,d2_binari_5,t19_binarith,t21_binarith,t26_binari_6,t39_margrel1,t41_margrel1,t49_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,commutativity_k3_binari_5,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binarith,fc1_bvfunc_1,fc2_binari_5,involutiveness_k9_margrel1],[5,186]).
proved(t2_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,t35_binari_5,t37_binari_5,t38_margrel1,t39_margrel1],[dt_k9_margrel1],[2,39]).
proved(t32_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t39_margrel1,t41_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[4,108]).
proved(t33_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t10_binarith,t16_binarith,t18_binarith,t19_binarith,t22_binarith,t23_binarith,t29_binari_6,t39_margrel1,t41_margrel1,t49_margrel1,t7_binarith],[cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[3,167]).
proved(t34_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d17_margrel1,d1_bvfunc_1,d2_binari_5,d2_binarith,t23_binari_5,t24_binari_5,t39_margrel1,t46_margrel1,t4_binari_6,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k2_binarith,dt_k9_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[5,129]).
proved(t35_binari_6, binari_6, [d13_margrel1,d14_margrel1,t21_binarith,t26_binari_6,t39_margrel1,t3_binari_6,t7_binarith],[commutativity_k1_binarith,fc1_bvfunc_1],[4,56]).
proved(t36_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_binarith,t10_binarith,t18_binarith,t19_binarith,t25_binarith,t35_binarith,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc2_binarith,involutiveness_k9_margrel1],[6,227]).
proved(t37_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_bvfunc_1,d2_binari_5,t18_binarith,t19_binarith,t29_binari_6,t37_binari_5,t39_margrel1,t41_margrel1,t7_binarith],[commutativity_k1_binarith,commutativity_k3_binari_5,dt_k9_margrel1,fc2_binari_5],[3,98]).
proved(t38_binari_6, binari_6, [d13_margrel1,d14_margrel1,d17_margrel1,d1_bvfunc_1,t10_binarith,t16_binarith,t19_binarith,t1_binari_6,t23_binari_5,t28_binari_5,t2_binari_6,t3_binari_6,t50_margrel1,t5_binari_6,t7_binarith],[cc1_margrel1,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[3,96]).
proved(t39_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,t16_binarith,t18_binarith,t32_binari_6,t46_margrel1,t4_binari_5,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,commutativity_k10_margrel1,dt_k9_margrel1,fc1_binari_5,fc1_binarith,involutiveness_k9_margrel1],[5,122]).
proved(t3_binari_6, binari_6, [d13_margrel1,d14_margrel1,t19_binari_5,t2_binari_6,t39_binari_5,t39_margrel1],[],[2,30]).
proved(t42_binari_6, binari_6, [d1_binari_5,d1_bvfunc_1,t11_binari_6],[fc2_bvfunc_1],[2,18]).
proved(t46_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_bvfunc_1,t18_binarith,t19_binarith,t23_binari_5,t39_binari_6,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[commutativity_k10_margrel1,commutativity_k1_binari_5,dt_k9_margrel1,fc1_binari_5,fc2_binarith,involutiveness_k9_margrel1],[3,110]).
proved(t49_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,t16_binarith,t18_binarith,t19_binarith,t39_margrel1,t41_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binari_5,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,involutiveness_k9_margrel1],[4,198]).
proved(t4_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,t16_binarith,t39_margrel1,t3_binari_6,t45_margrel1,t46_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,involutiveness_k9_margrel1],[4,134]).
proved(t50_binari_6, binari_6, [d13_margrel1,d14_margrel1,d2_binari_5,t10_binari_5,t14_binari_5,t2_binari_5,t39_margrel1,t5_binari_5,t7_binarith],[cc1_bvfunc_1],[2,65]).
proved(t55_binari_6, binari_6, [d1_binari_5,d2_binari_5,t15_binari_5,t21_binarith,t25_binarith,t9_binarith],[cc1_bvfunc_1,fc1_binarith],[4,35]).
proved(t58_binari_6, binari_6, [d13_margrel1,d14_margrel1,t10_binari_5,t11_binari_5,t14_binari_5,t29_binari_6,t2_binari_6,t39_margrel1,t7_binarith],[commutativity_k3_binari_5],[2,48]).
proved(t5_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_bvfunc_1,t28_binari_5,t36_binari_5,t39_margrel1,t3_binari_6,t41_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,dt_k7_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[4,86]).
proved(t60_binari_6, binari_6, [d13_margrel1,d2_binari_5,t10_binarith,t11_binari_5,t14_binari_5,t49_margrel1,t53_binari_6],[cc1_bvfunc_1,cc1_margrel1,dt_k7_margrel1,dt_k9_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[3,60]).
proved(t62_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d2_binarith,t16_binari_6,t16_binarith,t18_binarith,t19_binarith,t35_binarith,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_binarith,dt_k8_margrel1,dt_k9_margrel1,fc2_binarith,fc5_margrel1],[2,110]).
proved(t63_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d2_binari_5,d2_binarith,t10_binarith,t16_binari_6,t16_binarith,t19_binarith,t35_binarith,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc2_binarith,fc5_margrel1,involutiveness_k9_margrel1],[5,191]).
proved(t64_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d2_binari_5,t10_binarith,t16_binari_6,t18_binarith,t19_binarith,t35_binarith,t49_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,commutativity_k3_binari_5,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binarith,involutiveness_k9_margrel1],[2,105]).
proved(t65_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d2_binari_5,t10_binarith,t26_binarith,t35_binarith,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t64_binari_6,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,dt_k8_margrel1,involutiveness_k9_margrel1],[3,93]).
proved(t66_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,t16_binari_6,t16_binarith,t18_binarith,t25_binarith,t26_binarith,t35_binarith,t46_margrel1,t47_margrel1,t49_margrel1,t50_margrel1,t63_binari_6,t64_binari_6,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,dt_k8_margrel1,dt_k9_margrel1,existence_m1_subset_1,involutiveness_k9_margrel1],[2,125]).
proved(t69_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t18_binarith,t19_binarith,t25_binarith,t35_binarith,t36_binari_6,t50_margrel1,t64_binari_6,t7_binarith,t9_binarith],[cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[3,160]).
proved(t6_binari_6, binari_6, [d13_margrel1,d14_margrel1,t39_margrel1,t3_binari_6,t41_margrel1,t5_binari_6],[cc1_margrel1,dt_k7_margrel1,dt_k9_margrel1,involutiveness_k9_margrel1],[2,44]).
proved(t70_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,t10_binarith,t18_binarith,t19_binarith,t23_binari_5,t41_margrel1,t45_margrel1,t46_margrel1,t49_margrel1,t50_margrel1,t62_binari_6,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[3,180]).
proved(t71_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t18_binarith,t19_binarith,t23_binari_5,t45_margrel1,t46_margrel1,t49_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc2_bvfunc_1],[3,133]).
proved(t75_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t10_binarith,t19_binarith,t25_binarith,t39_margrel1,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[4,143]).
proved(t78_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d1_bvfunc_1,t10_binarith,t12_binari_6,t16_binarith,t19_binarith,t21_binarith,t22_binarith,t25_binarith,t46_margrel1,t49_margrel1,t50_margrel1,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc1_binarith,fc5_margrel1,involutiveness_k9_margrel1],[3,125]).
proved(t7_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_bvfunc_1,d2_bvfunc_1,t17_binarith,t19_binarith,t23_binari_5,t39_margrel1,t46_margrel1,t47_margrel1,t50_margrel1,t7_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc2_bvfunc_1,involutiveness_k9_margrel1],[2,94]).
proved(t80_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t18_binarith,t25_binarith,t50_margrel1,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[3,154]).
proved(t83_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,d2_bvfunc_1,t16_binarith,t18_binarith,t19_binarith,t25_binarith,t36_binari_6,t4_binari_6,t50_margrel1,t63_binari_6,t64_binari_6,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,fc1_binari_5,fc2_binari_5,fc2_binarith,involutiveness_k9_margrel1],[6,203]).
proved(t84_binari_6, binari_6, [d13_margrel1,d14_margrel1,d16_margrel1,d1_binari_5,d1_bvfunc_1,d2_binari_5,t10_binarith,t16_binarith,t18_binarith,t19_binarith,t26_binarith,t36_binari_6,t46_margrel1,t49_margrel1,t50_margrel1,t64_binari_6,t69_binari_6,t75_binari_6,t7_binarith,t9_binarith],[cc1_bvfunc_1,cc1_margrel1,commutativity_k10_margrel1,commutativity_k1_binari_5,commutativity_k1_binarith,dt_k7_margrel1,dt_k8_margrel1,dt_k9_margrel1,existence_m1_subset_1,fc1_binari_5,fc2_binari_5,involutiveness_k9_margrel1],[3,246]).
proved(t85_binari_6, binari_6, [d1_bvfunc_1,d2_binari_5,t21_binarith,t4_binari_6],[cc1_bvfunc_1,dt_k9_margrel1,fc2_binari_5],[3,43]).
proved(t8_binari_6, binari_6, [d13_margrel1,d14_margrel1,d2_binari_5,d2_bvfunc_1,d3_binari_5,t13_binarith,t14_binari_5,t18_binari_5,t19_binari_5,t19_binarith,t39_margrel1],[cc1_bvfunc_1,cc1_margrel1,commutativity_k1_binarith,commutativity_k2_bvfunc_1,dt_k7_margrel1,dt_k8_margrel1,fc2_binari_5,involutiveness_k9_margrel1],[2,93]).
proved(t9_binari_6, binari_6, [d13_margrel1,d14_margrel1,d1_binari_5,d2_bvfunc_1,t13_binarith,t19_binari_5,t21_binari_5,t39_margrel1,t50_margrel1,t8_binari_6],[cc1_bvfunc_1,commutativity_k2_bvfunc_1,involutiveness_k9_margrel1],[2,72]).
proved(t1_boole, boole, [d1_xboole_0,d2_xboole_0,d7_xboole_0,t3_xboole_0,t4_xboole_0,t9_tarski],[antisymmetry_r2_hidden],[2,19]).
proved(t2_boole, boole, [d1_xboole_0,d7_xboole_0,t3_xboole_0,t4_xboole_0],[symmetry_r1_xboole_0],[4,14]).
proved(t3_boole, boole, [d1_xboole_0,d4_xboole_0,d7_xboole_0,t3_xboole_0,t4_xboole_0,t9_tarski],[antisymmetry_r2_hidden],[2,19]).
proved(t4_boole, boole, [d1_xboole_0,d4_xboole_0,d7_xboole_0,t3_xboole_0,t4_xboole_0,t9_tarski],[antisymmetry_r2_hidden],[2,17]).
proved(t5_boole, boole, [d6_xboole_0,t1_boole,t3_boole,t4_boole],[],[1,8]).
proved(t6_boole, boole, [d5_xboole_0],[],[1,5]).
proved(t7_boole, boole, [d1_xboole_0,d5_xboole_0],[],[1,8]).
proved(t8_boole, boole, [d5_xboole_0],[],[1,9]).
proved(t15_boolealg, boolealg, [d4_boolealg],[cc1_lattices,commutativity_k4_lattices,dt_l3_lattices,redefinition_k4_lattices],[3,35]).
proved(t16_boolealg, boolealg, [d4_boolealg,t21_lattices],[cc1_lattices,commutativity_k4_lattices,dt_l3_lattices,redefinition_k4_lattices,redefinition_r3_lattices,reflexivity_r3_lattices],[4,67]).
proved(t21_boolealg, boolealg, [t15_boolealg],[],[1,10]).
proved(t25_boolealg, boolealg, [t22_lattices,t26_lattices,t39_lattices],[cc1_lattices,dt_k5_lattices,dt_l3_lattices,redefinition_k3_lattices,redefinition_r1_boolealg,redefinition_r3_lattices,reflexivity_r1_boolealg,symmetry_r1_boolealg],[4,82]).
proved(t29_boolealg, boolealg, [d1_boolealg,t40_lattices],[cc1_lattices,dt_k5_lattices,dt_k7_lattices,dt_l3_lattices,reflexivity_r1_boolealg],[4,48]).
proved(t33_boolealg, boolealg, [d4_boolealg,t40_lattices],[cc1_lattices,commutativity_k4_lattices,dt_k5_lattices,dt_l3_lattices,redefinition_k4_lattices],[5,40]).
proved(t34_boolealg, boolealg, [t30_boolealg],[redefinition_r3_boolealg],[3,23]).
proved(t36_boolealg, boolealg, [d4_boolealg,t18_lattices,t21_lattices,t25_boolealg,t30_boolealg,t40_lattices],[cc1_lattices,commutativity_k4_lattices,dt_k5_lattices,dt_l3_lattices,redefinition_k4_lattices,redefinition_r3_boolealg,redefinition_r3_lattices,symmetry_r3_boolealg],[6,120]).
proved(t44_boolealg, boolealg, [d1_boolealg,d4_boolealg,d7_lattices,t21_lattices,t40_lattices,t43_lattices,t47_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k4_lattices,dt_k1_boolealg,dt_k5_lattices,dt_k6_lattices,dt_k7_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k4_lattices,redefinition_r3_lattices,reflexivity_r1_boolealg,symmetry_r1_boolealg],[6,132]).
proved(t49_boolealg, boolealg, [t22_lattices,t46_boolealg],[cc1_lattices,cc5_lattices,cc7_lattices,dt_k1_lattices,dt_l3_lattices,redefinition_k3_lattices,redefinition_r3_lattices],[6,71]).
proved(t4_boolealg, boolealg, [t22_lattices,t2_filter_0],[cc1_lattices,dt_k1_lattices,dt_l3_lattices,redefinition_k3_lattices,redefinition_r3_lattices],[6,53]).
proved(t66_boolealg, boolealg, [d1_boolealg,t29_boolealg,t40_lattices,t47_lattices,t49_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,dt_k5_lattices,dt_k7_lattices,dt_l3_lattices],[3,77]).
proved(t67_boolealg, boolealg, [d1_boolealg,d8_lattices,t43_lattices,t47_lattices,t48_lattices,t49_lattices,t50_lattices,t51_lattices,t57_boolealg,t66_boolealg],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k4_lattices,dt_k5_lattices,dt_k6_lattices,dt_k7_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices,redefinition_k4_lattices],[7,121]).
proved(t76_boolealg, boolealg, [d1_boolealg,d2_boolealg,t37_lattice4,t39_lattices,t40_lattices,t43_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k3_lattices,commutativity_k4_lattices,dt_k3_boolealg,dt_k5_lattices,dt_k6_lattices,dt_k7_lattices,dt_l3_lattices,redefinition_k3_boolealg,redefinition_k3_lattices,redefinition_k4_lattices,redefinition_r1_boolealg,reflexivity_r1_boolealg],[5,135]).
proved(t77_boolealg, boolealg, [d1_boolealg,d2_boolealg,t21_lattices,t25_boolealg,t39_lattices,t40_lattices,t47_lattices,t49_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k4_lattices,dt_k3_boolealg,dt_k5_lattices,dt_k7_lattices,dt_l3_lattices,redefinition_k3_boolealg,redefinition_k4_lattices,redefinition_r3_lattices],[8,121]).
proved(t8_boolealg, boolealg, [d1_boolealg,t23_lattices],[cc1_lattices,dt_k1_boolealg,dt_k7_lattices,dt_l3_lattices,redefinition_k4_lattices,redefinition_r3_lattices],[5,48]).
proved(t19_bvfunc11, bvfunc11, [t17_bvfunc11,t20_bvfunc_2,t6_boole],[dt_k1_fraenkel,fc3_funct_7,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[2,31]).
proved(t20_bvfunc13, bvfunc13, [t19_partit_2,t20_bvfunc_2,t21_bvfunc11],[dt_k1_fraenkel,dt_k5_valuat_1,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,34]).
proved(t26_bvfunc13, bvfunc13, [t19_partit_2,t21_bvfunc11],[dt_k1_fraenkel,dt_k5_valuat_1,fc3_margrel1,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,28]).
proved(t29_bvfunc13, bvfunc13, [t21_bvfunc_2,t23_bvfunc13],[dt_k1_fraenkel,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[2,25]).
proved(t33_bvfunc13, bvfunc13, [t21_bvfunc_2,t23_bvfunc13],[dt_k1_fraenkel,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[2,24]).
proved(t38_bvfunc13, bvfunc13, [t19_partit_2,t20_bvfunc_2,t21_bvfunc_2],[dt_k1_fraenkel,dt_k5_valuat_1,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,35]).
proved(t44_bvfunc13, bvfunc13, [t19_partit_2,t21_bvfunc_2],[dt_k1_fraenkel,dt_k5_valuat_1,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,30]).
proved(t56_bvfunc13, bvfunc13, [t19_partit_2,t20_bvfunc_2],[dt_k1_fraenkel,dt_k5_valuat_1,fc3_margrel1,redefinition_k1_bvfunc_2,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,30]).
proved(t34_bvfunc24, bvfunc24, [t27_bvfunc24,t42_enumset1,t43_enumset1,t44_enumset1,t47_enumset1,t48_enumset1,t4_xboole_1,t51_enumset1,t56_enumset1,t62_enumset1,t69_enumset1,t70_enumset1],[commutativity_k2_xboole_0],[2,33]).
proved(t12_bvfunc25, bvfunc25, [t10_bvfunc25,t17_bvfunc_8],[],[1,10]).
proved(t18_bvfunc26, bvfunc26, [t15_bvfunc26,t6_boole],[fc1_margrel1],[1,12]).
proved(t28_bvfunc26, bvfunc26, [t26_bvfunc26,t27_bvfunc26,t4_bvfunc_1,t5_bvfunc_1,t6_boole],[dt_k18_bvfunc_1,dt_k19_bvfunc_1,dt_k1_fraenkel,fc1_margrel1,fc3_margrel1,fc8_bvfunc_1,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[3,61]).
proved(t5_bvfunc26, bvfunc26, [t3_bvfunc26,t4_bvfunc26,t5_bvfunc_1,t6_boole],[dt_k18_bvfunc_1,dt_k19_bvfunc_1,dt_k1_fraenkel,fc1_margrel1,fc3_margrel1,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[2,38]).
proved(t61_bvfunc26, bvfunc26, [t43_bvfunc26,t6_boole],[fc1_margrel1],[1,12]).
proved(t67_bvfunc26, bvfunc26, [t14_bvfunc26,t6_boole,t8_bvfunc_4],[dt_k1_fraenkel,fc1_margrel1,fc3_margrel1,redefinition_k5_valuat_1,redefinition_m2_fraenkel],[2,31]).
proved(t73_bvfunc26, bvfunc26, [t20_bvfunc26,t6_boole],[fc1_margrel1],[1,12]).
proved(t11_bvfunc_4, bvfunc_4, [t20_bvfunc_1],[],[1,12]).
proved(t30_bvfunc_6, bvfunc_6, [t16_bvfunc_1,t29_bvfunc_6],[],[1,11]).
proved(t38_bvfunc_6, bvfunc_6, [t17_bvfunc_1,t37_bvfunc_6],[],[1,12]).
proved(t15_bvfunc_9, bvfunc_9, [t1_bvfunc_9],[],[1,8]).
proved(t3_cantor_1, cantor_1, [d1_tops_2,d5_pre_topc,t4_subset],[dt_l1_pre_topc,dt_u1_pre_topc,existence_m1_subset_1],[2,19]).
proved(t108_cat_1, cat_1, [d20_cat_1,d8_cat_1,t104_cat_1,t6_boole,t97_cat_1],[dt_k13_cat_1,dt_k5_cat_1,dt_m2_cat_1,dt_u2_cat_1,existence_m1_subset_1,fc1_xboole_0,redefinition_k10_cat_1,redefinition_k8_funct_2,redefinition_m2_relset_1],[1,61]).
proved(t115_cat_1, cat_1, [d21_cat_1,d8_cat_1,t2_subset,t35_funct_1,t6_boole],[cc1_funct_2,dt_k6_partfun1,dt_k6_relat_1,dt_u2_cat_1,existence_m1_subset_1,fc1_xboole_0,fc2_funct_1,redefinition_k6_partfun1,redefinition_k8_funct_2,redefinition_m2_relset_1],[3,52]).
proved(t126_cat_1, cat_1, [d6_cat_1,t123_cat_1,t2_subset,t5_subset,t6_boole],[existence_m1_subset_1,rc2_subset_1],[3,33]).
proved(t21_cat_1, cat_1, [d6_cat_1,d7_cat_1,t5_subset,t6_boole],[fraenkel_a_3_0_cat_1,rc2_subset_1],[2,28]).
proved(t23_cat_1, cat_1, [d6_cat_1,d7_cat_1],[dt_m1_cat_1,fraenkel_a_3_0_cat_1],[2,28]).
proved(t24_cat_1, cat_1, [d10_xboole_0,d6_cat_1,t23_cat_1,t3_subset,t6_boole],[rc2_subset_1],[2,57]).
proved(t25_cat_1, cat_1, [d1_tarski,d6_cat_1,d7_cat_1,t3_boole],[dt_m1_cat_1,fc1_xboole_0,fc2_subset_1],[3,33]).
proved(t36_cat_1, cat_1, [d6_cat_1,d7_cat_1,t19_cat_1,t22_cat_1,t32_cat_1,t33_cat_1,t34_cat_1,t35_cat_1],[dt_k2_cat_1,dt_k3_cat_1,dt_k8_cat_1,dt_m1_cat_1],[4,54]).
proved(t37_cat_1, cat_1, [t22_cat_1,t34_cat_1,t35_cat_1],[dt_k2_cat_1,dt_k3_cat_1,dt_k8_cat_1],[2,29]).
proved(t38_cat_1, cat_1, [t34_cat_1,t36_cat_1,t5_subset,t6_boole],[existence_m1_subset_1,rc2_subset_1],[3,25]).
proved(t39_cat_1, cat_1, [t32_cat_1,t34_cat_1,t35_cat_1],[dt_k8_cat_1,dt_m1_cat_1],[2,34]).
proved(t40_cat_1, cat_1, [d10_xboole_0,d2_cat_1,d3_cat_1,d3_tarski,d5_funct_1,d8_cat_1,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_funct_1],[antisymmetry_r2_hidden,cc1_funct_1,cc1_relset_1,dt_k5_numbers,existence_m1_subset_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1],[14,170]).
proved(t41_cat_1, cat_1, [d4_cat_1,t40_cat_1],[],[1,12]).
proved(t44_cat_1, cat_1, [d2_cat_1,d3_cat_1,d5_cat_1,d8_cat_1],[dt_k5_cat_1,existence_m1_subset_1],[2,36]).
proved(t45_cat_1, cat_1, [t44_cat_1],[],[1,12]).
proved(t47_cat_1, cat_1, [d2_cat_1,d5_cat_1,d8_cat_1,t41_cat_1,t44_cat_1],[dt_k5_cat_1,existence_m1_subset_1],[2,33]).
proved(t55_cat_1, cat_1, [d6_cat_1,d8_cat_1,t44_cat_1],[dt_k5_cat_1,existence_m1_subset_1,fraenkel_a_3_0_cat_1],[2,33]).
proved(t56_cat_1, cat_1, [t55_cat_1,t6_boole,t7_boole],[rc2_subset_1],[2,14]).
proved(t57_cat_1, cat_1, [d13_cat_1,d6_cat_1,d8_cat_1,t23_cat_1,t46_cat_1,t56_cat_1],[dt_k10_cat_1,dt_m1_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[2,54]).
proved(t58_cat_1, cat_1, [d13_cat_1,d6_cat_1,d8_cat_1,t23_cat_1,t47_cat_1,t56_cat_1],[dt_k10_cat_1,dt_m1_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[2,54]).
proved(t59_cat_1, cat_1, [d6_cat_1,t56_cat_1,t57_cat_1],[dt_k10_cat_1],[2,21]).
proved(t7_cat_1, cat_1, [d1_cat_1,d2_cqc_lang,t19_funcop_1,t35_zfmisc_1],[],[2,12]).
proved(t83_cat_1, cat_1, [d16_cat_1],[dt_k10_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[2,24]).
proved(t87_cat_1, cat_1, [d15_cat_1],[dt_k10_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[2,24]).
proved(t90_cat_1, cat_1, [d10_cat_1,d15_cat_1,d6_cat_1,t22_cat_1,t23_cat_1],[dt_k2_cat_1,dt_m1_cat_1,existence_m1_subset_1],[3,61]).
proved(t18_cat_2, cat_2, [d4_cat_2],[existence_m1_subset_1,reflexivity_r1_tarski],[1,13]).
proved(t34_cat_3, cat_3, [d10_cat_3,d11_cat_3,d12_cat_1,t1_subset,t26_cat_3,t27_cat_3,t2_subset,t2_tarski,t32_cat_3,t33_cat_3,t5_subset,t6_boole],[cc1_relset_1,dt_k2_cat_1,dt_k3_cat_1,dt_k8_funct_2,dt_m2_relset_1,dt_u1_cat_1,dt_u2_cat_1,dt_u5_cat_1,existence_m1_subset_1,fc1_xboole_0,redefinition_k10_cat_1,redefinition_k8_funct_2,redefinition_m2_relset_1],[9,135]).
proved(t41_cat_3, cat_3, [d12_cat_3],[],[1,11]).
proved(t44_cat_3, cat_3, [d13_cat_3],[],[1,11]).
proved(t12_cat_5, cat_5, [d5_cat_5,d6_cat_5],[dt_u1_cat_1,existence_m1_subset_1,rc3_cat_1],[1,17]).
proved(t11_classes2, classes2, [t10_classes2],[fc1_classes2],[1,5]).
proved(t14_classes2, classes2, [d2_ordinal2,t10_classes2],[rc1_ordinal2],[3,12]).
proved(t16_classes2, classes2, [t14_classes2],[],[1,6]).
proved(t17_classes2, classes2, [t15_classes2],[],[1,5]).
proved(t18_classes2, classes2, [t6_classes2],[cc1_card_1],[1,9]).
proved(t19_classes2, classes2, [t9_classes2],[cc1_card_1],[1,8]).
proved(t22_classes2, classes2, [t19_card_2,t20_classes2,t21_card_1,t46_card_1,t47_card_1],[fc1_classes2,spc0_boole],[4,30]).
proved(t27_classes2, classes2, [t26_classes2],[fc1_classes2],[1,11]).
proved(t29_classes2, classes2, [t28_classes2],[fc1_classes2],[1,5]).
proved(t33_classes2, classes2, [t10_classes2,t13_card_1,t26_classes2],[dt_k1_card_1],[2,16]).
proved(t34_classes2, classes2, [t13_card_1,t27_classes2],[dt_k1_card_1],[1,10]).
proved(t46_classes2, classes2, [t27_classes1,t32_classes2],[fc1_classes2],[1,8]).
proved(t51_classes2, classes2, [t27_classes1],[cc3_classes2,fc1_classes2],[1,8]).
proved(t52_classes2, classes2, [t51_classes2],[cc2_classes2,fc1_classes2],[1,9]).
proved(t53_classes2, classes2, [t51_classes2],[cc1_ordinal1],[1,7]).
proved(t57_classes2, classes2, [d10_xboole_0,d2_ordinal1,t56_classes2],[cc2_classes2],[1,16]).
proved(t59_classes2, classes2, [d3_tarski,t3_subset,t57_classes2,t6_boole],[antisymmetry_r2_hidden,cc2_classes2,fc2_ordinal1,rc2_subset_1],[3,36]).
proved(t5_classes2, classes2, [d3_classes1,d4_classes1,t1_boole],[],[2,10]).
proved(t8_classes2, classes2, [d1_classes1,d2_ordinal1,d3_tarski,t10_ordinal1,t7_ordinal1],[reflexivity_r1_tarski],[2,16]).
proved(t9_classes2, classes2, [d2_ordinal1,d3_tarski,t10_ordinal1,t38_ordinal1,t6_classes1,t7_ordinal1],[],[3,13]).
proved(t2_closure1, closure1, [d16_pboole,d4_pboole,t7_boole],[],[3,17]).
proved(t6_closure2, closure2, [t109_xboole_1,t3_subset],[],[2,9]).
proved(t9_closure2, closure2, [t37_zfmisc_1,t38_zfmisc_1,t3_subset,t8_closure2],[],[3,22]).
proved(t1_closure3, closure3, [d1_funct_4,d3_pboole],[dt_m1_pboole,idempotence_k2_xboole_0],[2,29]).
proved(t7_closure3, closure3, [d3_closure3,t6_closure3],[reflexivity_r6_pboole],[1,26]).
proved(t1_coh_sp, coh_sp, [d1_classes1,t2_subset,t3_subset,t6_boole,t6_zfmodel1],[existence_m1_subset_1,rc2_subset_1,reflexivity_r1_tarski],[2,19]).
proved(t20_coh_sp, coh_sp, [d10_coh_sp,d11_coh_sp,d3_mcart_1,d8_coh_sp,t18_coh_sp,t7_mcart_1],[existence_m1_subset_1],[3,30]).
proved(t31_coh_sp, coh_sp, [t27_coh_sp,t2_xboole_1],[dt_k1_eqrel_1,fc1_eqrel_1,fc2_eqrel_1],[2,11]).
proved(t32_coh_sp, coh_sp, [t27_coh_sp],[dt_k6_partfun1,fc2_partfun1,redefinition_k6_partfun1,reflexivity_r1_tarski],[2,14]).
proved(t33_coh_sp, coh_sp, [t31_coh_sp],[reflexivity_r1_tarski],[1,5]).
proved(t34_coh_sp, coh_sp, [t32_coh_sp],[redefinition_k6_partfun1,reflexivity_r1_tarski],[1,8]).
proved(t38_coh_sp, coh_sp, [d21_coh_sp,t36_coh_sp],[reflexivity_r1_tarski],[1,8]).
proved(t39_coh_sp, coh_sp, [d21_coh_sp,t37_coh_sp],[reflexivity_r1_tarski],[1,8]).
proved(t5_commacat, commacat, [d19_nattra_1,t26_cat_1,t32_cat_1,t34_cat_1,t35_cat_1,t56_cat_1],[dt_k10_cat_1,dt_k5_cat_1,dt_k8_cat_1,dt_m1_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[3,63]).
proved(t24_conlat_1, conlat_1, [d14_conlat_1,d15_conlat_1],[dt_k5_conlat_1,dt_k6_conlat_1,dt_l2_conlat_1],[2,27]).
proved(t26_conlat_1, conlat_1, [d13_conlat_1,d14_conlat_1,d15_conlat_1,t24_conlat_1,t25_conlat_1],[abstractness_v6_conlat_1,dt_k5_conlat_1,dt_k6_conlat_1,dt_l2_conlat_1],[2,93]).
proved(t28_conlat_1, conlat_1, [d12_conlat_1,d14_conlat_1,d15_conlat_1,t26_conlat_1,t27_conlat_1,t6_boole],[dt_l2_conlat_1,fc1_conlat_1,fc2_conlat_1],[2,51]).
proved(t20_connsp_1, connsp_1, [t19_connsp_1,t48_pre_topc],[dt_k6_pre_topc,reflexivity_r1_tarski],[2,17]).
proved(t32_connsp_1, connsp_1, [t28_connsp_1,t30_connsp_1],[existence_m1_subset_1],[1,18]).
proved(t45_connsp_1, connsp_1, [t43_connsp_1,t44_connsp_1,t4_subset],[existence_m1_subset_1],[2,20]).
proved(t12_domain_1, domain_1, [t24_mcart_1],[fc1_xboole_0],[2,20]).
proved(t28_domain_1, domain_1, [t113_zfmisc_1,t48_mcart_1,t50_mcart_1,t6_boole],[existence_m1_subset_1,fc1_xboole_0,fc4_subset_1,rc1_subset_1],[3,58]).
proved(t45_domain_1, domain_1, [t113_zfmisc_1,t60_mcart_1,t61_mcart_1,t6_boole],[existence_m1_subset_1,fc1_xboole_0,fc4_subset_1,rc1_subset_1],[3,71]).
proved(t56_domain_1, domain_1, [t2_subset,t71_mcart_1,t8_boole],[dt_k1_subset_1,existence_m1_subset_1,fraenkel_a_1_7_domain_1],[2,13]).
proved(t9_domain_1, domain_1, [t106_zfmisc_1,t1_subset,t23_mcart_1],[],[4,16]).
proved(t18_e_siec, e_siec, [d2_e_siec,d3_e_siec,t16_e_siec,t17_e_siec,t45_sysrel,t50_sysrel],[dt_l1_e_siec,dt_u1_e_siec,dt_u2_e_siec],[2,56]).
proved(t28_e_siec, e_siec, [d15_e_siec,d16_e_siec,t24_e_siec],[],[1,15]).
proved(t32_e_siec, e_siec, [d10_e_siec,t16_e_siec,t21_e_siec],[],[1,27]).
proved(t42_e_siec, e_siec, [d25_e_siec,d26_e_siec,t41_e_siec],[],[1,15]).
proved(t4_e_siec, e_siec, [t2_e_siec],[],[0,5]).
proved(t9_e_siec, e_siec, [d1_e_siec,d1_tarski,t15_xboole_1,t3_boole],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,dt_l1_e_siec],[3,24]).
proved(t3_endalg, endalg, [d1_endalg,t6_alg_1],[cc1_funct_2,dt_k1_endalg,dt_k6_partfun1,dt_k6_relat_1,fc2_partfun1,rc1_pboole,redefinition_k6_partfun1,redefinition_m2_relset_1],[2,38]).
proved(t54_ens_1, ens_1, [d6_cat_1,t44_ens_1,t53_ens_1],[dt_k5_cat_1,redefinition_k10_cat_1,redefinition_k6_partfun1],[1,31]).
proved(t66_ens_1, ens_1, [d19_ens_1,d27_ens_1,d28_ens_1,d9_cat_2,t57_ens_1,t6_boole],[dt_k12_ens_1,dt_k26_ens_1,dt_k2_oppcat_1,fc4_ens_1,fc4_relat_1,redefinition_k10_cat_1],[2,54]).
proved(t100_enumset1, enumset1, [t98_enumset1,t99_enumset1],[],[0,5]).
proved(t102_enumset1, enumset1, [t100_enumset1,t43_enumset1],[commutativity_k2_tarski],[2,9]).
proved(t103_enumset1, enumset1, [t45_enumset1],[commutativity_k2_tarski],[1,6]).
proved(t104_enumset1, enumset1, [t103_enumset1,t42_enumset1,t43_enumset1,t44_enumset1,t98_enumset1],[commutativity_k2_xboole_0],[3,14]).
proved(t105_enumset1, enumset1, [t103_enumset1,t104_enumset1],[],[0,5]).
proved(t107_enumset1, enumset1, [t104_enumset1,t105_enumset1],[],[0,5]).
proved(t108_enumset1, enumset1, [t104_enumset1,t105_enumset1,t41_enumset1,t45_enumset1,t4_xboole_1],[commutativity_k2_xboole_0],[5,22]).
proved(t109_enumset1, enumset1, [t105_enumset1,t107_enumset1,t41_enumset1,t45_enumset1,t4_xboole_1],[commutativity_k2_xboole_0],[4,28]).
proved(t111_enumset1, enumset1, [t105_enumset1,t46_enumset1,t98_enumset1,t99_enumset1],[],[3,11]).
proved(t112_enumset1, enumset1, [t103_enumset1,t105_enumset1,t107_enumset1,t109_enumset1,t110_enumset1],[],[0,8]).
proved(t113_enumset1, enumset1, [t103_enumset1,t110_enumset1],[],[0,5]).
proved(t117_enumset1, enumset1, [t110_enumset1,t113_enumset1],[],[0,5]).
proved(t118_enumset1, enumset1, [t107_enumset1,t109_enumset1],[],[0,5]).
proved(t119_enumset1, enumset1, [t103_enumset1,t109_enumset1,t110_enumset1],[],[0,6]).
proved(t123_enumset1, enumset1, [t104_enumset1,t108_enumset1,t110_enumset1,t111_enumset1],[],[0,7]).
proved(t125_enumset1, enumset1, [t108_enumset1,t110_enumset1,t111_enumset1],[],[0,6]).
proved(t43_enumset1, enumset1, [t41_enumset1,t42_enumset1,t4_xboole_1],[commutativity_k2_tarski,commutativity_k2_xboole_0],[2,15]).
proved(t50_enumset1, enumset1, [t39_xboole_1,t42_enumset1,t43_enumset1,t44_enumset1,t47_enumset1,t4_xboole_1,t51_xboole_1,t52_xboole_1,t83_xboole_1,t88_xboole_1,t93_xboole_1],[commutativity_k2_tarski,commutativity_k2_xboole_0,commutativity_k3_xboole_0,idempotence_k3_xboole_0],[3,60]).
proved(t55_enumset1, enumset1, [t41_enumset1,t42_enumset1,t43_enumset1,t44_enumset1,t47_enumset1,t4_xboole_1,t51_enumset1],[commutativity_k2_xboole_0],[1,21]).
proved(t58_enumset1, enumset1, [t41_enumset1,t43_enumset1,t47_enumset1,t4_xboole_1,t52_enumset1,t56_enumset1],[],[1,15]).
proved(t64_enumset1, enumset1, [t43_enumset1,t4_xboole_1,t51_enumset1,t63_enumset1],[],[2,9]).
proved(t68_enumset1, enumset1, [t41_enumset1,t4_xboole_1,t61_enumset1,t62_enumset1,t67_enumset1],[commutativity_k2_xboole_0],[3,13]).
proved(t69_enumset1, enumset1, [t41_enumset1],[idempotence_k2_xboole_0],[1,5]).
proved(t70_enumset1, enumset1, [t41_enumset1,t43_enumset1,t69_enumset1],[commutativity_k2_tarski],[1,11]).
proved(t71_enumset1, enumset1, [t42_enumset1,t44_enumset1,t4_xboole_1],[idempotence_k2_xboole_0],[2,9]).
proved(t72_enumset1, enumset1, [t44_enumset1,t47_enumset1,t4_xboole_1],[idempotence_k2_xboole_0],[2,9]).
proved(t73_enumset1, enumset1, [t47_enumset1,t4_xboole_1,t51_enumset1],[idempotence_k2_xboole_0],[2,9]).
proved(t74_enumset1, enumset1, [t4_xboole_1,t51_enumset1,t56_enumset1],[idempotence_k2_xboole_0],[2,9]).
proved(t75_enumset1, enumset1, [t4_xboole_1,t56_enumset1,t62_enumset1],[idempotence_k2_xboole_0],[2,9]).
proved(t76_enumset1, enumset1, [t69_enumset1,t70_enumset1],[],[0,6]).
proved(t77_enumset1, enumset1, [t70_enumset1,t71_enumset1],[commutativity_k2_tarski],[0,8]).
proved(t78_enumset1, enumset1, [t71_enumset1,t72_enumset1],[],[0,6]).
proved(t79_enumset1, enumset1, [t72_enumset1,t73_enumset1],[],[0,6]).
proved(t80_enumset1, enumset1, [t73_enumset1,t74_enumset1],[],[0,6]).
proved(t81_enumset1, enumset1, [t74_enumset1,t75_enumset1],[],[0,6]).
proved(t82_enumset1, enumset1, [t69_enumset1,t77_enumset1],[],[0,6]).
proved(t83_enumset1, enumset1, [t70_enumset1,t78_enumset1],[commutativity_k2_tarski],[0,8]).
proved(t84_enumset1, enumset1, [t71_enumset1,t72_enumset1,t73_enumset1],[],[0,7]).
proved(t85_enumset1, enumset1, [t72_enumset1,t73_enumset1,t74_enumset1],[],[0,7]).
proved(t86_enumset1, enumset1, [t73_enumset1,t81_enumset1],[],[0,6]).
proved(t87_enumset1, enumset1, [t69_enumset1,t70_enumset1,t78_enumset1],[],[0,7]).
proved(t88_enumset1, enumset1, [t70_enumset1,t71_enumset1,t79_enumset1],[commutativity_k2_tarski],[0,9]).
proved(t89_enumset1, enumset1, [t71_enumset1,t72_enumset1,t80_enumset1],[],[0,7]).
proved(t90_enumset1, enumset1, [t72_enumset1,t73_enumset1,t81_enumset1],[],[0,7]).
proved(t91_enumset1, enumset1, [t69_enumset1,t70_enumset1,t84_enumset1],[],[0,7]).
proved(t92_enumset1, enumset1, [t70_enumset1,t71_enumset1,t85_enumset1],[commutativity_k2_tarski],[0,9]).
proved(t93_enumset1, enumset1, [t71_enumset1,t72_enumset1,t86_enumset1],[],[0,7]).
proved(t94_enumset1, enumset1, [t69_enumset1,t70_enumset1,t89_enumset1],[],[0,7]).
proved(t95_enumset1, enumset1, [t70_enumset1,t93_enumset1],[commutativity_k2_tarski],[0,8]).
proved(t96_enumset1, enumset1, [t69_enumset1,t70_enumset1,t93_enumset1],[],[0,7]).
proved(t98_enumset1, enumset1, [t42_enumset1],[commutativity_k2_tarski],[1,6]).
proved(t99_enumset1, enumset1, [t42_enumset1,t43_enumset1,t98_enumset1],[commutativity_k2_xboole_0],[2,10]).
proved(t17_equation, equation, [t11_equation],[dt_k2_msualg_3,reflexivity_r1_pzfmisc1],[1,10]).
proved(t12_ff_siec, ff_siec, [d2_ff_siec,d2_xboole_0,t37_zfmisc_1,t7_boole],[fc12_relat_1,fc4_relat_1,reflexivity_r1_tarski],[4,18]).
proved(t28_ff_siec, ff_siec, [d14_ff_siec,d15_ff_siec,d1_net_1],[],[1,10]).
proved(t3_ff_siec, ff_siec, [d5_ff_siec,t2_ff_siec,t3_xboole_0,t6_boole,t7_boole],[fc12_relat_1,fc4_relat_1,rc1_relat_1,symmetry_r1_xboole_0],[4,31]).
proved(t4_ff_siec, ff_siec, [d6_ff_siec,t2_ff_siec,t65_xboole_1],[symmetry_r1_xboole_0],[1,19]).
proved(t5_ff_siec, ff_siec, [d6_ff_siec,d7_ff_siec,t4_ff_siec],[],[1,14]).
proved(t6_ff_siec, ff_siec, [d5_ff_siec,d8_ff_siec,t3_ff_siec],[],[1,14]).
proved(t7_ff_siec, ff_siec, [d5_ff_siec,d9_ff_siec,t3_ff_siec],[],[1,15]).
proved(t8_ff_siec, ff_siec, [d3_tarski,t6_net_1],[],[3,16]).
proved(t12_filter_0, filter_0, [t11_filter_0,t45_lattices,t4_subset,t9_filter_0],[dt_k6_lattices,dt_l3_lattices,dt_m1_filter_0,existence_m1_subset_1],[3,32]).
proved(t15_filter_0, filter_0, [t2_subset,t3_subset,t6_boole,t7_boole,t9_filter_0],[cc1_lattices,dt_k4_lattices,dt_l1_lattices,dt_l3_lattices,existence_m1_subset_1,fc1_struct_0,fc1_xboole_0,reflexivity_r1_tarski],[3,61]).
proved(t23_filter_0, filter_0, [d3_filter_0,t1_subset,t21_lattices,t2_subset,t8_boole],[cc1_lattices,dt_k2_filter_0,dt_l3_lattices,dt_m1_filter_0,fraenkel_a_2_0_filter_0,rc2_subset_1,redefinition_k4_lattices,redefinition_r3_lattices],[3,74]).
proved(t26_filter_0, filter_0, [d5_filter_0],[dt_m1_filter_0,reflexivity_r1_tarski],[1,16]).
proved(t32_filter_0, filter_0, [d10_xboole_0,d2_filter_0,d3_tarski,t1_subset,t3_subset,t41_lattices,t4_subset,t9_filter_0],[dt_m1_filter_0,existence_m1_subset_1],[4,39]).
proved(t85_filter_0, filter_0, [t80_filter_0,t81_filter_0,t98_orders_1],[],[1,15]).
proved(t2_filter_1, filter_1, [d3_filter_0,t71_filter_0],[],[1,21]).
proved(t35_filter_2, filter_2, [d9_filter_2,t1_subset,t22_lattices,t26_lattices,t2_subset,t8_boole],[cc1_lattices,dt_k18_filter_2,dt_k1_lattices,dt_l3_lattices,dt_m2_filter_2,fraenkel_a_2_0_filter_2,redefinition_k3_lattices,redefinition_r3_lattices],[3,76]).
proved(t64_filter_2, filter_2, [d14_filter_2],[cc1_lattices,dt_l3_lattices,fraenkel_a_3_3_filter_2,reflexivity_r3_lattices],[3,50]).
proved(t15_finset_1, finset_1, [],[fc11_finset_1],[1,5]).
proved(t16_finset_1, finset_1, [],[fc12_finset_1],[1,5]).
proved(t21_finset_1, finset_1, [t13_finset_1,t54_mcart_1],[fc14_finset_1,fc15_finset_1,reflexivity_r1_tarski],[4,19]).
proved(t26_finset_1, finset_1, [t146_relat_1],[fc13_finset_1],[2,12]).
proved(t27_finset_1, finset_1, [t147_funct_1],[fc13_finset_1],[2,14]).
proved(t28_finset_1, finset_1, [t13_finset_1,t7_xboole_1,t93_xboole_1],[commutativity_k2_xboole_0,fc9_finset_1],[3,15]).
proved(t18_finsub_1, finsub_1, [t100_xboole_1,t10_finsub_1,t17_finsub_1,t1_boole,t2_boole,t2_subset,t5_boole,t95_xboole_1],[commutativity_k5_xboole_0,existence_m1_subset_1,idempotence_k3_xboole_0],[2,24]).
proved(t32_finsub_1, finsub_1, [d3_tarski,t1_subset,t26_finsub_1,t2_subset],[antisymmetry_r2_hidden,fc2_finsub_1],[2,13]).
proved(t34_finsub_1, finsub_1, [t27_finsub_1],[],[1,7]).
proved(t12_fintopo2, fintopo2, [d17_fin_topo,d4_fintopo2,d7_xboole_0,t13_fin_topo,t2_boole,t2_subset,t38_margrel1,t3_subset,t3_xboole_0,t4_subset,t6_boole,t7_boole,t7_subset_1],[1,dt_k8_fin_topo,existence_m1_subset_1,idempotence_k3_xboole_0,rc2_subset_1,redefinition_k4_subset_1,reflexivity_r1_tarski],[4,100]).
proved(t9_fintopo2, fintopo2, [d3_fintopo2,t38_margrel1],[],[4,30]).
proved(t8_fraenkel, fraenkel, [d1_fraenkel,d1_tarski],[idempotence_k3_xboole_0],[5,15]).
proved(t19_funcop_1, funcop_1, [d10_xboole_0,d2_funcop_1,d3_funct_3,t12_relset_1,t1_funcop_1,t28_xboole_1,t2_boole,t2_xboole_1,t37_zfmisc_1,t3_subset,t5_subset,t60_relat_1,t6_boole],[cc1_relset_1,dt_k4_funct_3,dt_k4_relset_1,fc12_relat_1,fc1_xboole_0,fc2_funcop_1,fc3_funcop_1,fc4_relat_1,fc5_relat_1,fc6_relat_1,rc1_funct_2,rc1_partfun1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1,redefinition_m2_relset_1,reflexivity_r1_tarski,spc0_boole],[6,130]).
proved(t21_funcop_1, funcop_1, [t20_funcop_1,t37_zfmisc_1],[reflexivity_r1_tarski],[1,7]).
proved(t24_funcop_1, funcop_1, [t182_relat_1,t19_funcop_1,t20_funcop_1,t6_boole],[dt_k5_relat_1,fc1_funcop_1,fc1_xboole_0,fc3_funcop_1,fc5_relat_1,rc2_funct_1],[4,39]).
proved(t46_funcop_1, funcop_1, [t44_funcop_1,t94_relat_1],[cc1_funct_2,cc4_funct_2,dt_k6_partfun1,dt_k6_relat_1,fc2_funct_1,fc2_partfun1,redefinition_k6_partfun1,redefinition_m2_relset_1],[1,35]).
proved(t4_funcop_1, funcop_1, [t16_funct_1,t49_funct_1,t6_boole],[cc1_funct_1,cc1_relat_1,cc2_funct_1,fc1_xboole_0,fc5_relat_1,fc7_relat_1,rc2_funct_1,rc3_relat_1],[2,46]).
proved(t9_funcop_1, funcop_1, [t2_funcop_1,t6_funcop_1],[cc1_funct_2,cc4_funct_2,dt_k6_partfun1,dt_k6_relat_1,fc2_funct_1,fc2_partfun1,redefinition_k12_funct_3,redefinition_k6_partfun1,redefinition_m2_relset_1],[1,34]).
proved(t120_funct_1, funct_1, [t117_relat_1,t157_relat_1],[dt_k8_relat_1],[1,9]).
proved(t125_funct_1, funct_1, [d7_xboole_0,t121_funct_1,t149_relat_1],[commutativity_k3_xboole_0],[3,21]).
proved(t12_funct_1, funct_1, [d4_funct_1,t20_relat_1],[],[3,12]).
proved(t161_funct_1, funct_1, [t147_funct_1],[],[1,12]).
proved(t19_funct_1, funct_1, [d3_tarski,t12_funct_1],[],[4,20]).
proved(t2_funct_1, funct_1, [d1_funct_1,d1_relat_1],[],[3,20]).
proved(t35_funct_1, funct_1, [t34_funct_1],[dt_k6_relat_1,fc2_funct_1],[2,9]).
proved(t42_funct_1, funct_1, [t77_relat_1,t79_relat_1],[reflexivity_r1_tarski],[3,13]).
proved(t53_funct_1, funct_1, [d8_funct_1,t23_funct_1,t34_funct_1],[dt_k6_relat_1,fc2_funct_1],[3,31]).
proved(t55_funct_1, funct_1, [d9_funct_1,t37_relat_1],[],[1,17]).
proved(t57_funct_1, funct_1, [d3_tarski,d3_xboole_0,d5_funct_1,d8_funct_1,d9_funct_1,t19_funct_1,t1_subset,t23_funct_1,t2_subset,t37_relat_1,t37_zfmisc_1,t3_subset,t4_subset,t56_funct_1,t5_subset,t6_boole,t71_relat_1],[antisymmetry_r2_hidden,dt_k2_funct_1,dt_k6_relat_1,existence_m1_subset_1,fc12_relat_1,fc2_funct_1,fc2_subset_1,fc4_relat_1,fc5_relat_1,fc8_relat_1,idempotence_k3_xboole_0,involutiveness_k4_relat_1,rc1_subset_1,rc2_funct_1,rc2_subset_1],[8,225]).
proved(t59_funct_1, funct_1, [d8_funct_1,d9_funct_1,t37_relat_1,t57_funct_1,t58_funct_1],[dt_k2_funct_1,involutiveness_k4_relat_1],[4,56]).
proved(t62_funct_1, funct_1, [d8_funct_1,d9_funct_1,t37_relat_1,t57_funct_1],[dt_k2_funct_1],[4,38]).
proved(t64_funct_1, funct_1, [d8_funct_1,d9_funct_1,t42_funct_1,t46_relat_1,t48_funct_1,t63_funct_1,t71_relat_1],[dt_k6_relat_1,fc2_funct_1,involutiveness_k4_relat_1,reflexivity_r1_tarski],[2,58]).
proved(t65_funct_1, funct_1, [d8_funct_1,d9_funct_1,t37_relat_1,t57_funct_1],[dt_k2_funct_1,involutiveness_k4_relat_1],[4,48]).
proved(t67_funct_1, funct_1, [d8_funct_1,t34_funct_1,t55_funct_1,t61_funct_1,t71_relat_1,t79_relat_1],[dt_k2_funct_1,dt_k6_relat_1,fc2_funct_1,reflexivity_r1_tarski],[4,36]).
proved(t71_funct_1, funct_1, [t70_funct_1,t90_relat_1],[],[1,9]).
proved(t82_funct_1, funct_1, [t100_relat_1,t28_xboole_1],[commutativity_k3_xboole_0],[1,15]).
proved(t97_funct_1, funct_1, [t127_relat_1,t28_xboole_1],[commutativity_k3_xboole_0],[2,16]).
proved(t116_funct_2, funct_2, [t115_funct_2,t1_subset],[],[2,19]).
proved(t12_funct_2, funct_2, [t11_funct_2],[],[1,12]).
proved(t130_funct_2, funct_2, [d1_funct_2,t12_relset_1,t3_xboole_1,t6_boole],[cc1_relset_1,dt_m2_relset_1,fc4_relat_1,fc6_relat_1],[3,37]).
proved(t131_funct_2, funct_2, [],[cc1_funct_2,redefinition_m2_relset_1],[1,10]).
proved(t132_funct_2, funct_2, [d1_funct_2,d4_partfun1,t7_funct_2],[],[2,28]).
proved(t134_funct_2, funct_2, [d4_partfun1,t67_funct_2,t87_partfun1],[],[1,14]).
proved(t143_funct_2, funct_2, [t12_relset_1,t142_funct_2,t27_partfun1,t28_xboole_1,t2_boole,t3_subset,t45_funct_2,t51_funct_2,t67_funct_2,t6_boole,t7_boole,t9_funct_1],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc1_partfun1,rc2_partfun1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1],[5,115]).
proved(t148_funct_2, funct_2, [d1_funct_2,d4_partfun1,d5_funct_1,t11_relset_1,t12_relset_1,t132_funct_2,t132_partfun1,t162_partfun1,t1_boole,t25_funct_2,t27_partfun1,t28_xboole_1,t2_boole,t2_subset,t3_subset,t4_funct_2,t4_subset,t55_funct_2,t5_subset,t65_relat_1,t6_boole,t7_xboole_1,t8_boole],[antisymmetry_r2_hidden,cc1_funct_1,cc1_funct_2,cc1_relset_1,cc4_funct_2,commutativity_k2_xboole_0,dt_k4_relset_1,dt_k6_partfun1,dt_k6_relat_1,dt_m2_relset_1,existence_m1_relset_1,existence_m2_relset_1,fc12_relat_1,fc2_funct_1,fc2_partfun1,fc4_relat_1,fc5_relat_1,rc1_funct_2,rc1_partfun1,rc2_funct_1,rc2_funct_2,rc2_partfun1,rc2_subset_1,redefinition_k4_relset_1,redefinition_k6_partfun1,redefinition_m2_relset_1,reflexivity_r1_partfun1],[8,374]).
proved(t149_funct_2, funct_2, [t148_funct_2],[cc1_funct_1,cc1_relset_1,dt_m2_relset_1,rc1_partfun1],[3,33]).
proved(t14_funct_2, funct_2, [d1_xboole_0,d2_funct_2,d3_tarski,d7_xboole_0,t113_zfmisc_1,t1_subset,t2_subset,t2_tarski,t3_subset,t3_xboole_0,t3_xboole_1,t4_subset,t56_relat_1,t5_subset,t64_relat_1,t6_boole],[antisymmetry_r2_hidden,cc1_relat_1,cc1_relset_1,dt_k4_relset_1,existence_m1_subset_1,fc12_relat_1,fc1_subset_1,fc1_zfmisc_1,fc4_relat_1,fc4_subset_1,fc5_relat_1,idempotence_k3_xboole_0,rc1_funct_2,rc1_partfun1,rc1_subset_1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1,symmetry_r1_xboole_0],[9,191]).
proved(t156_funct_2, funct_2, [d4_partfun1,t12_relset_1,t132_funct_2,t155_funct_2,t27_partfun1,t28_xboole_1,t2_boole,t6_boole,t77_funct_2,t7_boole],[cc1_relset_1,dt_m2_relset_1,fc4_relat_1,fc5_relat_1,fc6_relat_1,rc2_subset_1,redefinition_m2_relset_1],[3,86]).
proved(t158_funct_2, funct_2, [d7_partfun1,t168_partfun1],[cc1_funct_1,cc1_funct_2,cc1_relset_1,dt_m2_relset_1,rc1_partfun1,redefinition_m2_relset_1],[3,29]).
proved(t161_funct_2, funct_2, [t132_funct_2,t174_partfun1,t87_partfun1],[],[1,25]).
proved(t162_funct_2, funct_2, [t132_funct_2,t174_partfun1,t87_partfun1],[],[1,22]).
proved(t17_funct_2, funct_2, [d1_funct_2,t26_partfun1,t5_subset,t6_boole,t7_boole,t7_funct_2],[existence_m1_subset_1,fc8_relat_1,rc2_subset_1],[3,59]).
proved(t18_funct_2, funct_2, [d1_funct_2,d3_tarski,t11_funct_2,t12_relset_1,t3_subset,t3_xboole_1,t5_subset,t65_relat_1,t6_boole,t6_funct_2,t9_funct_1],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc1_partfun1,rc2_partfun1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1,redefinition_m2_relset_1],[5,183]).
proved(t31_funct_2, funct_2, [d10_xboole_0,d1_funct_2,d3_tarski,t12_relset_1,t1_subset,t29_funct_2,t2_subset,t2_xboole_1,t3_subset,t4_funct_2,t55_funct_1,t5_subset,t60_relat_1,t6_boole,t71_relat_1],[antisymmetry_r2_hidden,cc1_relset_1,dt_k2_funct_1,dt_k4_relset_1,dt_k6_relat_1,dt_m2_relset_1,existence_m2_relset_1,fc12_relat_1,fc1_subset_1,fc2_funct_1,fc2_partfun1,fc4_relat_1,fc5_relat_1,fc6_relat_1,rc1_funct_2,rc2_funct_1,rc3_partfun1,redefinition_k4_relset_1,redefinition_k6_partfun1,redefinition_m2_relset_1,reflexivity_r1_tarski],[18,239]).
proved(t32_funct_2, funct_2, [d1_funct_2,t54_funct_1,t71_relat_1],[cc1_relset_1,dt_k2_funct_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[2,33]).
proved(t37_funct_2, funct_2, [t29_funct_2,t6_boole,t71_relat_1],[cc1_relset_1,dt_k6_relat_1,dt_m2_relset_1,fc2_funct_1,fc2_partfun1,fc5_relat_1,fc8_relat_1,rc2_funct_1,redefinition_k6_partfun1],[4,42]).
proved(t3_funct_2, funct_2, [d4_partfun1,t24_partfun1],[cc1_funct_2,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,21]).
proved(t47_funct_2, funct_2, [t12_relset_1,t167_relat_1,t1_xboole_1],[cc1_relset_1,dt_m2_relset_1],[2,15]).
proved(t51_funct_2, funct_2, [d10_xboole_0,d1_funct_2,t12_relset_1,t142_funct_1,t143_funct_1,t168_relat_1,t169_relat_1,t22_funct_2,t28_xboole_1,t2_boole,t2_subset,t3_subset,t45_funct_2,t48_funct_2,t49_funct_2,t4_funct_2,t4_subset,t65_relat_1,t6_boole,t7_boole,t8_boole],[cc1_funct_1,cc1_relset_1,commutativity_k3_xboole_0,dt_k2_funct_2,dt_k3_funct_2,dt_k4_relset_1,dt_k6_partfun1,dt_k6_relat_1,dt_m2_relset_1,fc12_relat_1,fc2_funct_1,fc2_partfun1,fc4_relat_1,fc5_relat_1,fc6_relat_1,rc1_partfun1,rc2_funct_1,rc2_partfun1,rc2_subset_1,redefinition_k2_funct_2,redefinition_k3_funct_2,redefinition_k4_relset_1,redefinition_k6_partfun1,redefinition_m2_relset_1,reflexivity_r1_tarski],[8,271]).
proved(t55_funct_2, funct_2, [t11_relset_1,t3_subset,t60_relat_1,t64_relat_1,t6_boole,t71_relat_1,t91_relat_1,t97_relat_1],[dt_k4_relset_1,dt_k6_relat_1,fc12_relat_1,fc2_funct_1,fc2_partfun1,fc4_relat_1,fc5_relat_1,rc1_funct_2,rc1_partfun1,rc2_funct_1,rc2_subset_1,redefinition_k4_relset_1],[5,81]).
proved(t60_funct_2, funct_2, [d10_xboole_0,t11_relset_1,t12_relset_1,t3_subset,t65_relat_1,t6_boole],[cc1_relset_1,dt_k3_funct_2,dt_m2_relset_1,fc4_relat_1,fc5_relat_1,rc2_subset_1,redefinition_k3_funct_2,redefinition_m2_relset_1],[4,49]).
proved(t61_funct_2, funct_2, [t37_zfmisc_1,t7_funct_2],[reflexivity_r1_tarski],[2,13]).
proved(t62_funct_2, funct_2, [t12_relset_1,t14_funct_1,t37_zfmisc_1,t39_zfmisc_1,t5_subset,t65_relat_1,t6_boole,t6_funct_2,t71_relat_1],[cc1_relset_1,dt_k6_relat_1,dt_m2_relset_1,fc2_funct_1,fc2_partfun1,fc5_relat_1,fc8_relat_1,rc2_funct_1,rc2_subset_1,reflexivity_r1_tarski],[4,67]).
proved(t64_funct_2, funct_2, [t144_relat_1,t62_funct_2],[cc1_relset_1,dt_m2_relset_1,redefinition_k2_funct_2,redefinition_m2_relset_1],[2,22]).
proved(t67_funct_2, funct_2, [d1_funct_2,t12_relset_1],[],[2,15]).
proved(t74_funct_2, funct_2, [t23_funct_2],[],[1,10]).
proved(t79_funct_2, funct_2, [t45_funct_2],[],[1,12]).
proved(t7_funct_2, funct_2, [d1_funct_2,t27_partfun1],[],[2,17]).
proved(t82_funct_2, funct_2, [t45_funct_2,t51_funct_2,t79_funct_2],[],[1,20]).
proved(t85_funct_2, funct_2, [t56_funct_1,t67_funct_2],[cc1_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[2,29]).
proved(t86_funct_2, funct_2, [d4_funct_2,t76_funct_2],[cc1_relset_1,dt_m2_relset_1,redefinition_k4_funct_2,redefinition_k5_funct_2,redefinition_m2_relset_1],[2,41]).
proved(t87_funct_2, funct_2, [d3_funct_2,d4_funct_2,t53_funct_1,t63_funct_1,t67_funct_2],[cc1_relset_1,cc2_funct_2,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_k5_funct_2,redefinition_k6_funct_2,redefinition_k6_partfun1,redefinition_m2_relset_1],[3,73]).
proved(t12_funct_3, funct_3, [t10_funct_3,t144_relat_1,t1_xboole_1],[dt_k1_funct_3],[2,18]).
proved(t14_funct_3, funct_3, [d10_xboole_0,d1_funct_2,t13_funct_3,t1_xboole_1,t3_subset,t3_xboole_1],[cc1_relat_1,cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,existence_m1_subset_1,fc1_xboole_0,fc6_relat_1,fc8_relat_1,rc1_subset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[6,63]).
proved(t17_funct_3, funct_3, [d10_xboole_0,d1_funct_2,t12_relset_1,t144_relat_1,t15_funct_3,t16_funct_3,t1_xboole_1,t28_xboole_1,t2_boole,t2_xboole_1,t3_subset,t6_boole],[cc1_relset_1,dt_m2_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc12_relat_1,fc1_xboole_0,fc4_relat_1,fc6_relat_1,rc1_subset_1,redefinition_k2_funct_2,redefinition_k4_relset_1,redefinition_m2_relset_1],[6,90]).
proved(t27_funct_3, funct_3, [t144_relat_1,t1_xboole_1,t25_funct_3],[dt_k3_funct_3],[2,18]).
proved(t37_funct_3, funct_3, [d10_xboole_0,t35_funct_3,t36_funct_3],[],[1,14]).
proved(t42_funct_3, funct_3, [d3_funct_3,d4_funct_1,t34_funct_1,t6_boole],[dt_k4_funct_3,dt_k6_relat_1,fc1_xboole_0,fc2_funct_1,fc5_relat_1,rc2_funct_1,spc0_boole,spc1_boole],[4,43]).
proved(t56_funct_3, funct_3, [d3_tarski,t34_funct_1,t3_subset],[dt_k6_relat_1,fc2_funct_1,redefinition_k6_funct_3],[3,18]).
proved(t81_funct_3, funct_3, [d1_funct_2,d3_tarski,d5_funct_1,t12_relset_1,t1_xboole_1,t21_funct_2,t2_subset,t3_subset,t46_relat_1,t49_funct_1,t5_subset,t62_relat_1,t6_boole,t71_relat_1,t72_funct_3,t8_boole],[antisymmetry_r2_hidden,cc1_funct_1,cc1_relat_1,cc1_relset_1,cc2_funct_1,dt_k4_relset_1,dt_k6_relat_1,dt_m2_relset_1,existence_m1_subset_1,fc12_relat_1,fc1_xboole_0,fc2_funct_1,fc4_relat_1,fc5_relat_1,fc8_relat_1,rc2_funct_1,rc2_subset_1,rc3_relat_1,redefinition_k4_relset_1,redefinition_k9_funct_3,redefinition_m2_relset_1],[7,223]).
proved(t21_funct_4, funct_4, [t1_boole,t20_funct_4,t6_boole,t7_xboole_1],[commutativity_k2_xboole_0,fc12_relat_1,fc1_funcop_1,fc2_funcop_1,fc4_relat_1,fc7_relat_1],[2,29]).
proved(t22_funct_4, funct_4, [d10_xboole_0,d1_funct_4,t1_boole,t2_xboole_1,t3_subset,t6_boole,t7_boole],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,existence_m2_relset_1,fc1_funcop_1,fc2_funcop_1,fc4_relat_1,fc5_relat_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[5,49]).
proved(t33_funct_4, funct_4, [t32_funct_4,t7_xboole_1],[],[2,12]).
proved(t34_funct_4, funct_4, [t24_funct_4,t32_funct_4],[commutativity_k2_xboole_0,symmetry_r1_xboole_0],[4,20]).
proved(t36_funct_4, funct_4, [t32_funct_4],[commutativity_k2_xboole_0,symmetry_r1_xboole_0],[3,17]).
proved(t39_funct_4, funct_4, [d10_xboole_0,d3_tarski,t11_relset_1,t12_relset_1,t1_xboole_1,t2_subset,t2_xboole_1,t38_funct_4,t6_boole,t71_relat_1],[antisymmetry_r2_hidden,cc1_relset_1,dt_k6_relat_1,dt_k8_funct_2,dt_m2_relset_1,fc12_relat_1,fc2_funct_1,fc4_relat_1,fc5_relat_1,fc6_relat_1,fc8_relat_1,idempotence_k1_funct_4,rc1_relat_1,redefinition_k8_funct_2,redefinition_m2_relset_1],[6,148]).
proved(t6_funct_4, funct_4, [t19_funcop_1,t8_grfunc_1],[fc1_funcop_1],[2,12]).
proved(t70_funct_4, funct_4, [d2_funcop_1,t35_zfmisc_1],[],[0,5]).
proved(t72_funct_4, funct_4, [t66_funct_4],[],[2,14]).
proved(t82_funct_4, funct_4, [t75_funct_4,t76_funct_4,t97_relat_1],[symmetry_r1_xboole_0],[3,22]).
proved(t9_funct_4, funct_4, [t117_relat_1,t1_xboole_1,t88_relat_1],[dt_k8_relat_1,fc5_funct_1],[2,16]).
proved(t10_funct_5, funct_5, [d1_funct_5,d1_xboole_0,d2_funct_5,d3_tarski,t113_zfmisc_1,t15_xboole_1,t1_boole,t1_subset,t3_subset,t3_xboole_0,t3_xboole_1,t4_subset,t5_subset,t6_boole,t6_funct_5,t7_xboole_1],[antisymmetry_r2_hidden,cc1_relset_1,commutativity_k2_xboole_0,existence_m1_subset_1,fc1_subset_1,fc4_relat_1,fc4_subset_1,rc1_subset_1,rc2_subset_1,symmetry_r1_xboole_0],[7,103]).
proved(t12_funct_5, funct_5, [d10_xboole_0,d3_tarski,t11_funct_5,t17_xboole_1,t1_boole,t28_xboole_1,t2_boole,t2_subset,t3_subset,t6_boole,t6_funct_5,t7_xboole_1],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,fc1_subset_1,fc4_relat_1,reflexivity_r1_tarski],[6,59]).
proved(t13_funct_5, funct_5, [d10_xboole_0,t113_zfmisc_1,t11_funct_5,t12_funct_5,t17_xboole_1,t1_boole,t1_xboole_1,t28_xboole_1,t2_boole,t6_boole,t6_funct_5,t7_xboole_1,t8_xboole_1],[commutativity_k2_xboole_0,fc4_relat_1,fc4_subset_1,reflexivity_r1_tarski],[4,67]).
proved(t17_funct_5, funct_5, [d1_funct_5,d2_funct_5,t9_mcart_1],[],[4,18]).
proved(t18_funct_5, funct_5, [t10_wellord1,t4_funct_5,t6_boole,t7_boole],[fc4_relat_1,rc2_subset_1],[2,29]).
proved(t19_funct_5, funct_5, [t10_funct_5,t17_funct_5,t18_funct_5],[],[2,18]).
proved(t1_funct_5, funct_5, [t12_relset_1,t2_xboole_1,t3_xboole_1,t48_funct_4,t53_funct_4,t6_boole],[cc1_funct_1,cc1_relset_1,dt_k2_funct_4,dt_m2_relset_1,existence_m2_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,fc6_relat_1],[5,48]).
proved(t49_funct_5, funct_5, [t113_zfmisc_1,t34_funct_5,t5_subset,t65_relat_1,t6_boole],[cc1_funct_1,cc1_relat_1,dt_k3_funct_5,fc12_relat_1,fc4_relat_1,fc4_subset_1,fc8_relat_1,rc2_subset_1],[5,44]).
proved(t4_funct_5, funct_5, [d1_funct_5,d2_funct_5],[antisymmetry_r2_hidden],[3,10]).
proved(t50_funct_5, funct_5, [t12_relset_1,t35_funct_5,t3_xboole_1,t64_relat_1,t6_boole,t7_boole],[cc1_funct_1,cc1_relset_1,dt_m2_relset_1,existence_m2_relset_1,fc12_relat_1,fc4_relat_1,rc2_subset_1],[5,34]).
proved(t59_funct_5, funct_5, [t57_funct_5],[],[1,17]).
proved(t60_funct_5, funct_5, [t57_funct_5],[],[1,17]).
proved(t61_funct_5, funct_5, [t58_funct_5],[],[1,20]).
proved(t62_funct_5, funct_5, [t58_funct_5],[],[1,20]).
proved(t68_funct_5, funct_5, [t21_card_1,t67_funct_5],[],[1,9]).
proved(t6_functor0, functor0, [t12_funct_6],[redefinition_k10_pboole],[0,6]).
proved(t1_functor1, functor1, [d3_funct_2,t71_relat_1],[cc1_funct_2,dt_k6_partfun1,dt_k6_relat_1,fc2_funct_1,redefinition_k6_partfun1,redefinition_m2_relset_1],[1,22]).
proved(t4_fuzzy_3, fuzzy_3, [d1_fuzzy_1,t19_fuzzy_1,t1_fuzzy_3,t2_fuzzy_3],[dt_m1_fuzzy_1,fc4_subset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,40]).
proved(t6_fuzzy_3, fuzzy_3, [t1_fuzzy_3,t31_fuzzy_2],[fc4_subset_1],[2,17]).
proved(t7_fuzzy_3, fuzzy_3, [t18_fuzzy_1,t1_fuzzy_3,t32_fuzzy_2],[fc4_subset_1],[3,22]).
proved(t10_gate_1, gate_1, [d4_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,rc2_subset_1,rc2_xboole_0],[3,31]).
proved(t11_gate_1, gate_1, [d4_gate_1,t10_gate_1,t5_gate_1,t6_boole,t8_gate_1],[fc1_xboole_0],[3,33]).
proved(t13_gate_1, gate_1, [t10_gate_1,t11_gate_1,t12_gate_1,t6_boole,t8_boole,t8_gate_1,t9_gate_1],[],[4,55]).
proved(t23_gate_1, gate_1, [d15_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[5,45]).
proved(t24_gate_1, gate_1, [d16_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,spc0_boole],[2,46]).
proved(t25_gate_1, gate_1, [d17_gate_1,d2_ordinal1,t5_gate_1,t6_boole,t7_boole],[fc1_xboole_0,spc0_boole],[2,46]).
proved(t26_gate_1, gate_1, [d18_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[2,47]).
proved(t27_gate_1, gate_1, [d19_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[6,52]).
proved(t28_gate_1, gate_1, [d20_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,spc0_boole],[2,50]).
proved(t29_gate_1, gate_1, [d21_gate_1,t5_gate_1,t6_boole,t8_boole],[spc0_boole],[3,57]).
proved(t30_gate_1, gate_1, [d22_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[2,53]).
proved(t31_gate_1, gate_1, [d23_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[7,59]).
proved(t32_gate_1, gate_1, [d24_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,spc0_boole],[2,54]).
proved(t33_gate_1, gate_1, [d25_gate_1,d2_ordinal1,t5_gate_1,t6_boole,t7_boole],[fc1_xboole_0,spc0_boole],[2,56]).
proved(t34_gate_1, gate_1, [d26_gate_1,t1_boole,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,fc3_xboole_0,rc2_xboole_0],[2,68]).
proved(t35_gate_1, gate_1, [d27_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[8,66]).
proved(t36_gate_1, gate_1, [d28_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,spc0_boole],[2,68]).
proved(t37_gate_1, gate_1, [d29_gate_1,d2_ordinal1,t5_gate_1,t6_boole,t7_boole],[spc0_boole],[2,72]).
proved(t38_gate_1, gate_1, [d30_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[2,65]).
proved(t39_gate_1, gate_1, [d10_xboole_0,d2_ordinal1,d31_gate_1,d3_tarski,d4_finseq_1,t1_xboole_1,t37_zfmisc_1,t5_gate_1,t6_boole,t7_boole,t8_boole],[dt_k3_finseq_1,dt_k5_numbers,dt_k6_zf_lang,dt_m1_finseq_1,existence_m1_finseq_1,fc1_xboole_0,rc2_subset_1,rc2_xboole_0,redefinition_k3_finseq_1,redefinition_m2_finseq_1,redefinition_m2_subset_1],[12,164]).
proved(t40_gate_1, gate_1, [d32_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0,spc0_boole],[2,62]).
proved(t41_gate_1, gate_1, [d2_ordinal1,d33_gate_1,t5_gate_1,t6_boole,t7_boole],[fc1_xboole_0,spc0_boole],[2,66]).
proved(t42_gate_1, gate_1, [d18_gate_1,d3_gate_1,t19_gate_1,t5_gate_1,t6_boole,t8_boole],[fc1_xboole_0],[4,150]).
proved(t43_gate_1, gate_1, [d34_gate_1,t5_gate_1,t6_boole],[fc1_xboole_0,rc2_xboole_0],[3,58]).
proved(t4_gate_1, gate_1, [d1_gate_1,t6_boole],[fc2_subset_1,spc0_boole],[2,18]).
proved(t5_gate_1, gate_1, [d1_gate_1,t6_boole],[fc2_subset_1,rc2_subset_1],[2,11]).
proved(t9_gate_1, gate_1, [t6_boole,t8_gate_1],[rc2_subset_1],[3,16]).
proved(t3_gate_2, gate_2, [d10_gate_1,d1_gate_1,d2_gate_1,d3_gate_1,d4_gate_1,d8_gate_1,t16_gate_1,t18_gate_1,t42_gate_1,t4_gate_1,t5_gate_1,t6_boole,t7_gate_1,t8_boole,t8_gate_1],[],[8,279]).
proved(t1_gate_3, gate_3, [d1_gate_1,d2_gate_1,t3_gate_2,t4_gate_1,t5_gate_1,t7_gate_1],[],[9,453]).
proved(t23_gcd_1, gcd_1, [t22_gcd_1],[cc3_vectsp_1,dt_l1_group_1,dt_l1_vectsp_1,dt_m1_struct_0,dt_m2_gcd_1,redefinition_r4_gcd_1],[2,43]).
proved(t51_gcd_1, gcd_1, [t40_vectsp_1,t41_vectsp_1],[cc1_vectsp_1,dt_l3_vectsp_1],[1,30]).
proved(t13_grcat_1, grcat_1, [d17_vectsp_2,d4_algstr_1,t5_grcat_1,t8_grcat_1],[abstractness_v1_rlvect_1,cc1_relset_1,dt_k1_algstr_1,dt_k2_algstr_1,dt_k2_midsp_1,dt_k7_vectsp_1,dt_l1_rlvect_1,dt_m2_relset_1,dt_u2_struct_0,fc1_grcat_1,free_g1_rlvect_1,redefinition_m2_relset_1],[4,70]).
proved(t18_grcat_1, grcat_1, [d14_grcat_1,d15_grcat_1,d16_grcat_1,d18_grcat_1],[],[1,14]).
proved(t23_grcat_1, grcat_1, [d14_grcat_1,d15_grcat_1,d16_grcat_1,d19_grcat_1],[abstractness_v2_grcat_1,cc1_algstr_1,cc1_relset_1,cc4_algstr_1,dt_k11_grcat_1,dt_l1_rlvect_1,dt_m1_grcat_1,dt_m2_relset_1],[3,98]).
proved(t25_grcat_1, grcat_1, [d14_grcat_1,d15_grcat_1,d16_grcat_1,d19_grcat_1,t18_grcat_1],[abstractness_v2_grcat_1,cc4_algstr_1,dt_k10_grcat_1,dt_k11_grcat_1,dt_k9_grcat_1],[3,80]).
proved(t2_grcat_1, grcat_1, [d3_tarski,t102_zfmisc_1,t10_mcart_1,t1_subset,t7_mcart_1],[],[4,24]).
proved(t42_grcat_1, grcat_1, [d29_grcat_1,t41_grcat_1,t7_boole],[],[3,15]).
proved(t4_grcat_1, grcat_1, [t1_zf_fund1,t2_subset,t3_subset,t5_subset,t7_boole],[reflexivity_r1_tarski],[4,20]).
proved(t16_grfunc_1, grfunc_1, [d1_tarski,t6_zfmisc_1,t8_funct_1],[reflexivity_r1_tarski],[2,10]).
proved(t46_grfunc_1, grfunc_1, [],[cc1_funct_1,cc2_funct_1,fc1_xboole_0],[1,8]).
proved(t49_grfunc_1, grfunc_1, [d4_funct_1,d5_relat_1,t2_subset,t5_subset,t60_funct_1,t6_boole],[antisymmetry_r2_hidden,cc1_funct_1,cc2_funct_1,existence_m1_subset_1,fc1_xboole_0,rc1_xboole_0],[4,41]).
proved(t54_grfunc_1, grfunc_1, [t92_relat_1,t93_relat_1],[],[2,13]).
proved(t69_grfunc_1, grfunc_1, [t121_relat_1,t122_relat_1],[],[2,13]).
proved(t6_hessenbe, hessenbe, [t19_collsp],[existence_m1_subset_1],[2,15]).
proved(t17_heyting1, heyting1, [t12_xboole_1,t1_boole,t3_subset,t50_normform,t51_xboole_1,t6_boole,t7_xboole_1],[commutativity_k2_xboole_0,dt_k7_normform,existence_m2_subset_1,fc1_xboole_0,fc2_normform,fc2_xboole_0,fc3_xboole_0,idempotence_k3_xboole_0,rc1_xboole_0],[3,37]).
proved(t3_heyting1, heyting1, [d10_normform,d10_xboole_0,t1_boole,t64_normform,t7_xboole_1],[commutativity_k2_xboole_0],[2,17]).
proved(t7_heyting1, heyting1, [d9_normform,t66_normform,t79_normform],[],[1,10]).
proved(t11_heyting2, heyting2, [d1_heyting2,d1_xboole_0,t37_zfmisc_1,t3_xboole_1],[rc8_finseq_1,reflexivity_r1_tarski],[2,19]).
proved(t11_incproj, incproj, [d7_collsp],[existence_m1_subset_1,existence_m2_collsp],[1,20]).
proved(t6_incproj, incproj, [d1_incproj,t2_incproj,t4_incproj],[existence_m1_subset_1],[3,29]).
proved(t16_incsp_1, incsp_1, [d3_tarski,d4_incsp_1,t4_subset],[dt_l2_incsp_1,existence_m1_subset_1],[3,25]).
proved(t17_incsp_1, incsp_1, [d3_tarski,d5_incsp_1,t4_subset],[existence_m1_subset_1],[3,23]).
proved(t22_incsp_1, incsp_1, [d6_incsp_1,t16_incsp_1],[dt_l2_incsp_1,existence_m1_subset_1],[3,22]).
proved(t23_incsp_1, incsp_1, [d7_incsp_1,t17_incsp_1],[existence_m1_subset_1],[3,20]).
proved(t35_incsp_1, incsp_1, [d4_incsp_1,d5_incsp_1,d8_incsp_1,t4_subset],[dt_l2_incsp_1,existence_m1_subset_1],[3,29]).
proved(t78_incsp_1, incsp_1, [d8_incsp_1,t77_incsp_1],[dt_k1_incsp_1,dt_l2_incsp_1,existence_m1_subset_1],[2,52]).
proved(t87_incsp_1, incsp_1, [d8_incsp_1],[dt_l2_incsp_1,existence_m1_subset_1],[2,42]).
proved(t11_instalg1, instalg1, [d13_pua2mss1,d2_instalg1,t71_relat_1],[dt_k6_relat_1,dt_l1_msualg_1,dt_m1_instalg1,fc2_funct_1,redefinition_k6_partfun1],[2,30]).
proved(t16_instalg1, instalg1, [d2_instalg1,t9_instalg1],[],[1,10]).
proved(t27_instalg1, instalg1, [d4_instalg1,t26_instalg1],[],[2,13]).
proved(t3_instalg1, instalg1, [d5_msualg_1,t3_msinst_1],[],[2,20]).
proved(t9_instalg1, instalg1, [t29_pua2mss1,t6_msalimit],[cc4_instalg1,redefinition_k6_partfun1],[1,17]).
proved(t30_isocat_1, isocat_1, [d2_nattra_1,d7_nattra_1],[existence_m1_subset_1],[1,18]).
proved(t25_isocat_2, isocat_2, [t24_isocat_2],[dt_k14_cat_2],[2,17]).
proved(t4_isocat_2, isocat_2, [d12_mesfunc1,d1_funct_2,t11_relset_1,t12_relset_1,t25_funct_2,t2_subset,t3_subset,t46_zfmisc_1,t57_funct_1,t5_subset,t6_boole,t6_funct_2],[cc1_relset_1,dt_k4_mesfunc1,dt_m2_relset_1,existence_m1_subset_1,fc1_xboole_0,fc2_subset_1,fc2_xboole_0,rc2_subset_1,redefinition_k4_mesfunc1,redefinition_k8_funct_2,redefinition_m2_relset_1],[5,169]).
proved(t19_latsubgr, latsubgr, [t18_latsubgr,t55_group_2],[dt_k2_group_1,dt_l1_group_1,dt_m1_group_2],[2,27]).
proved(t1_latsubgr, latsubgr, [t97_group_2],[dt_k8_group_2,dt_l1_group_1,redefinition_k9_group_2],[1,18]).
proved(t20_latsubgr, latsubgr, [t19_latsubgr,t6_boole,t7_boole],[rc2_subset_1],[2,17]).
proved(t21_latsubgr, latsubgr, [t18_latsubgr,t4_subset,t59_group_2,t88_group_2],[dt_k7_group_2,dt_l1_group_1,dt_m1_group_2],[3,44]).
proved(t22_latsubgr, latsubgr, [t18_latsubgr,t4_subset,t60_group_2,t88_group_2],[dt_k7_group_2,dt_l1_group_1,dt_m1_group_2],[3,40]).
proved(t2_latsubgr, latsubgr, [d16_group_2,d1_group_3,t2_subset,t3_subset,t4_subset,t55_group_2,t5_subset,t61_group_2,t63_group_2,t6_boole,t88_group_2,t89_group_2,t90_group_2],[antisymmetry_r2_hidden,dt_k2_group_1,dt_k5_group_4,dt_k7_group_2,dt_m1_group_2,existence_m1_subset_1,fc1_subset_1,fc1_xboole_0,rc1_group_3,rc1_subset_1,rc2_subset_1,rc4_struct_0,reflexivity_r1_tarski],[6,155]).
proved(t12_latsum_1, latsum_1, [d3_tarski,t17_xboole_1,t1_subset],[antisymmetry_r2_hidden],[3,9]).
proved(t13_latsum_1, latsum_1, [d3_tarski,t17_xboole_1,t1_subset],[antisymmetry_r2_hidden,commutativity_k3_xboole_0],[4,11]).
proved(t16_latsum_1, latsum_1, [t40_waybel_0,t4_subset],[dt_l1_orders_2,existence_m1_subset_1,redefinition_k13_lattice3],[2,26]).
proved(t16_lattice2, lattice2, [t148_relat_1],[cc1_relset_1,dt_m2_relset_1,redefinition_k2_funct_2,redefinition_k2_partfun1,redefinition_m2_relset_1],[4,37]).
proved(t22_lattice2, lattice2, [d1_lattices,t21_lattice2],[cc1_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices],[2,25]).
proved(t24_lattice2, lattice2, [d3_lattices,t23_lattices,t85_rlsub_2],[cc1_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices],[2,46]).
proved(t25_lattice2, lattice2, [d2_lattices,d3_lattices,t23_lattices,t85_rlsub_2],[cc1_lattices,commutativity_k3_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices,redefinition_k4_lattices],[2,60]).
proved(t2_lattice2, lattice2, [d4_partfun1,t28_xboole_1,t3_subset,t90_relat_1],[cc1_relset_1,cc5_funct_2,commutativity_k3_xboole_0,dt_m2_relset_1,redefinition_k2_partfun1,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,39]).
proved(t67_lattice2, lattice2, [d2_filter_0,d2_setwiseo,t66_lattice2,t6_boole],[cc1_lattices,dt_k5_lattices,dt_l2_lattices,dt_l3_lattices,dt_u2_lattices,existence_m1_subset_1,fc1_struct_0,fc1_xboole_0,fc3_lattice2],[4,65]).
proved(t80_lattice2, lattice2, [t37_lattice2],[],[1,8]).
proved(t8_lattice2, lattice2, [t79_funct_4],[],[1,11]).
proved(t40_lattice3, lattice3, [d22_lattice3,t38_lattice3],[fraenkel_a_2_2_lattice3],[4,20]).
proved(t14_lattice4, lattice4, [d13_lattice4,d4_lattice2,t6_boole],[cc1_lattices,cc1_relset_1,dt_k7_grcat_1,dt_l1_lattices,dt_l2_lattices,dt_l3_lattices,dt_m2_relset_1,fc1_struct_0,fc1_xboole_0],[3,55]).
proved(t15_lattice4, lattice4, [d12_lattice4,d3_lattice2,t6_boole],[cc1_lattices,cc1_relset_1,dt_k7_grcat_1,dt_l1_lattices,dt_l2_lattices,dt_l3_lattices,dt_m2_relset_1,fc1_struct_0,fc1_xboole_0],[3,55]).
proved(t37_lattice4, lattice4, [t39_lattices,t48_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k3_lattices,dt_k5_lattices,dt_k7_lattices,dt_l3_lattices],[3,63]).
proved(t42_lattice4, lattice4, [d10_lattice4,d14_lattice4,t39_lattice4,t40_filter_0,t4_subset],[cc1_filter_0,cc1_lattices,cc5_lattices,dt_l3_lattices,dt_m3_lattice4,existence_m1_subset_1],[3,81]).
proved(t18_lattices, lattices, [d9_lattices,t17_lattices],[dt_l3_lattices,existence_m1_subset_1,redefinition_k4_lattices],[2,23]).
proved(t21_lattices, lattices, [d3_lattices,d8_lattices,d9_lattices,t2_subset],[dt_l2_lattices,dt_l3_lattices,existence_m1_subset_1,fc1_struct_0],[3,54]).
proved(t22_lattices, lattices, [d1_struct_0,d9_lattices,t21_lattices,t2_subset],[dt_k1_lattices,dt_l2_lattices,dt_l3_lattices,existence_m1_subset_1,fc1_struct_0],[3,39]).
proved(t23_lattices, lattices, [d1_struct_0,d3_lattices,d8_lattices,t2_subset],[commutativity_k4_lattices,dt_k4_lattices,dt_l2_lattices,dt_l3_lattices,existence_m1_subset_1,fc1_struct_0,redefinition_k4_lattices],[3,46]).
proved(t26_lattices, lattices, [d3_lattices],[commutativity_k3_lattices,dt_l2_lattices,redefinition_k3_lattices],[3,29]).
proved(t39_lattices, lattices, [d13_lattices,d16_lattices,d8_lattices],[cc1_lattices,dt_k5_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices],[3,54]).
proved(t40_lattices, lattices, [d13_lattices,d8_lattices,t39_lattices],[cc1_lattices,commutativity_k3_lattices,commutativity_k4_lattices,dt_k5_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices,redefinition_k4_lattices],[3,67]).
proved(t41_lattices, lattices, [t23_lattices,t40_lattices],[cc1_lattices,commutativity_k4_lattices,dt_k5_lattices,dt_l3_lattices,redefinition_r3_lattices],[3,45]).
proved(t43_lattices, lattices, [d14_lattices,d17_lattices,d9_lattices],[cc1_lattices,commutativity_k4_lattices,dt_k6_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k4_lattices],[3,58]).
proved(t44_lattices, lattices, [d14_lattices,d9_lattices,t43_lattices],[cc1_lattices,commutativity_k3_lattices,dt_k6_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k3_lattices,redefinition_k4_lattices],[3,62]).
proved(t45_lattices, lattices, [t23_lattices,t43_lattices],[cc1_lattices,dt_k6_lattices,dt_l3_lattices,redefinition_r3_lattices],[2,41]).
proved(t47_lattices, lattices, [d18_lattices,d19_lattices,d21_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k4_lattices,dt_k7_lattices,dt_l3_lattices,existence_m1_subset_1,redefinition_k4_lattices],[2,72]).
proved(t48_lattices, lattices, [d18_lattices,d21_lattices],[cc1_lattices,cc5_lattices,cc7_lattices,commutativity_k3_lattices,dt_k7_lattices,dt_l3_lattices,redefinition_k3_lattices],[3,69]).
proved(t6_lmod_5, lmod_5, [t5_lmod_5],[cc1_vectsp_1,cc4_vectsp_1,dt_k1_rlvect_1,dt_l1_rlvect_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[3,59]).
proved(t21_lmod_6, lmod_6, [d7_lmod_6,t33_vectsp_4],[cc1_vectsp_1,cc4_vectsp_1,dt_l1_group_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4],[2,67]).
proved(t31_lmod_6, lmod_6, [t26_lmod_6,t29_lmod_6],[cc1_vectsp_1,cc4_vectsp_1,dt_k1_vectsp_5,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[3,48]).
proved(t33_lmod_6, lmod_6, [d7_lmod_6,t33_vectsp_5],[cc1_vectsp_1,cc4_vectsp_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4],[2,100]).
proved(t35_lopclset, lopclset, [d4_filter_0,t32_filter_0],[reflexivity_r1_tarski],[1,13]).
proved(t13_lukasi_1, lukasi_1, [t5_lukasi_1,t82_cqc_the1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,22]).
proved(t14_lukasi_1, lukasi_1, [t7_lukasi_1,t82_cqc_the1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,26]).
proved(t16_lukasi_1, lukasi_1, [t15_lukasi_1,t82_cqc_the1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,25]).
proved(t17_lukasi_1, lukasi_1, [d1_cqc_the1,t82_cqc_the1],[dt_k11_qc_lang1,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_k9_cqc_lang,fc2_cqc_lang,redefinition_m2_subset_1],[4,33]).
proved(t20_lukasi_1, lukasi_1, [t15_lukasi_1,t18_lukasi_1,t3_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,27]).
proved(t21_lukasi_1, lukasi_1, [d1_cqc_the1,t82_cqc_the1],[dt_k11_qc_lang1,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_k9_cqc_lang,fc2_cqc_lang,redefinition_m2_subset_1],[4,40]).
proved(t23_lukasi_1, lukasi_1, [t13_lukasi_1,t77_cqc_the1],[dt_k9_cqc_lang,redefinition_k9_cqc_lang],[1,11]).
proved(t25_lukasi_1, lukasi_1, [t15_lukasi_1,t3_lukasi_1,t78_cqc_the1,t79_cqc_the1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[7,33]).
proved(t33_lukasi_1, lukasi_1, [t15_lukasi_1,t79_cqc_the1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,18]).
proved(t35_lukasi_1, lukasi_1, [t34_lukasi_1],[],[1,7]).
proved(t36_lukasi_1, lukasi_1, [d1_cqc_the1,t12_lukasi_1,t25_lukasi_1,t27_lukasi_1,t82_cqc_the1],[dt_k10_cqc_lang,dt_k11_qc_lang1,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_k9_cqc_lang,fc2_cqc_lang,redefinition_k9_cqc_lang,redefinition_m2_subset_1],[4,55]).
proved(t37_lukasi_1, lukasi_1, [t25_lukasi_1,t27_lukasi_1,t3_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[5,38]).
proved(t38_lukasi_1, lukasi_1, [t25_lukasi_1,t27_lukasi_1,t3_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[5,40]).
proved(t39_lukasi_1, lukasi_1, [t34_lukasi_1,t38_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,23]).
proved(t40_lukasi_1, lukasi_1, [t34_lukasi_1,t37_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,23]).
proved(t43_lukasi_1, lukasi_1, [d11_cqc_the1,t3_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[7,37]).
proved(t44_lukasi_1, lukasi_1, [t100_cqc_the1,t101_cqc_the1,t43_lukasi_1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,27]).
proved(t45_lukasi_1, lukasi_1, [d11_cqc_the1,t13_lukasi_1,t15_lukasi_1,t4_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[7,36]).
proved(t46_lukasi_1, lukasi_1, [t104_cqc_the1,t45_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,23]).
proved(t48_lukasi_1, lukasi_1, [t104_cqc_the1,t47_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[6,31]).
proved(t49_lukasi_1, lukasi_1, [t104_cqc_the1,t48_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,25]).
proved(t4_lukasi_1, lukasi_1, [t3_lukasi_1,t78_cqc_the1,t79_cqc_the1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,27]).
proved(t51_lukasi_1, lukasi_1, [t44_lukasi_1,t48_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,20]).
proved(t55_lukasi_1, lukasi_1, [t104_cqc_the1,t54_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[7,32]).
proved(t57_lukasi_1, lukasi_1, [d11_cqc_the1,t42_lukasi_1,t5_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[6,33]).
proved(t58_lukasi_1, lukasi_1, [t43_lukasi_1,t45_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,24]).
proved(t60_lukasi_1, lukasi_1, [t43_lukasi_1,t45_lukasi_1,t48_lukasi_1,t55_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[5,31]).
proved(t61_lukasi_1, lukasi_1, [d11_cqc_the1,t26_lukasi_1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[6,34]).
proved(t62_lukasi_1, lukasi_1, [d11_cqc_the1,t24_lukasi_1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[6,34]).
proved(t64_lukasi_1, lukasi_1, [d11_cqc_the1,t27_lukasi_1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_m2_subset_1],[4,25]).
proved(t65_lukasi_1, lukasi_1, [t63_lukasi_1,t64_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[5,21]).
proved(t66_lukasi_1, lukasi_1, [d11_cqc_the1,d1_cqc_the1,t104_cqc_the1,t12_lukasi_1,t64_lukasi_1,t65_lukasi_1],[dt_k10_cqc_lang,dt_k11_qc_lang1,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_k9_cqc_lang,dt_m2_subset_1,fc2_cqc_lang,redefinition_k9_cqc_lang,redefinition_m2_subset_1],[5,56]).
proved(t6_lukasi_1, lukasi_1, [t2_lukasi_1,t5_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[2,20]).
proved(t72_lukasi_1, lukasi_1, [t63_lukasi_1,t68_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,23]).
proved(t74_lukasi_1, lukasi_1, [t63_lukasi_1,t70_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,23]).
proved(t77_lukasi_1, lukasi_1, [t76_lukasi_1,t88_cqc_the1,t89_cqc_the1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_k12_cqc_lang,redefinition_m2_subset_1],[7,37]).
proved(t81_lukasi_1, lukasi_1, [t80_lukasi_1,t92_cqc_the1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,26]).
proved(t83_lukasi_1, lukasi_1, [t45_lukasi_1,t76_lukasi_1,t98_cqc_the1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[6,34]).
proved(t85_lukasi_1, lukasi_1, [t76_lukasi_1,t80_lukasi_1,t82_lukasi_1],[dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,28]).
proved(t88_lukasi_1, lukasi_1, [t64_lukasi_1,t65_lukasi_1,t76_lukasi_1,t98_cqc_the1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[7,51]).
proved(t89_lukasi_1, lukasi_1, [t64_lukasi_1,t65_lukasi_1,t76_lukasi_1,t98_cqc_the1],[dt_k10_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[7,50]).
proved(t90_lukasi_1, lukasi_1, [t86_lukasi_1,t89_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[5,26]).
proved(t91_lukasi_1, lukasi_1, [t76_lukasi_1,t77_lukasi_1,t86_lukasi_1,t90_lukasi_1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[7,37]).
proved(t92_lukasi_1, lukasi_1, [t90_lukasi_1,t92_cqc_the1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,23]).
proved(t93_lukasi_1, lukasi_1, [t91_lukasi_1,t92_cqc_the1],[dt_k10_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,23]).
proved(t21_margrel1, margrel1, [d5_margrel1,t51_card_1,t6_boole,t7_boole],[fc1_margrel1,rc1_funcop_1,rc2_subset_1],[2,16]).
proved(t28_margrel1, margrel1, [t15_finseq_2,t27_margrel1],[],[2,12]).
proved(t41_margrel1, margrel1, [d16_margrel1,t36_margrel1,t38_margrel1,t39_margrel1],[cc1_margrel1,dt_k8_margrel1,spc0_boole],[2,70]).
proved(t43_margrel1, margrel1, [t36_margrel1,t38_margrel1,t39_margrel1],[],[1,20]).
proved(t45_margrel1, margrel1, [d17_margrel1,t36_margrel1,t38_margrel1,t39_margrel1],[commutativity_k10_margrel1],[3,117]).
proved(t46_margrel1, margrel1, [d12_margrel1,d13_margrel1,d14_margrel1,d15_margrel1,d16_margrel1,d17_margrel1,d2_tarski,t38_margrel1,t39_margrel1,t3_boole],[dt_k9_margrel1],[4,36]).
proved(t47_margrel1, margrel1, [d13_margrel1,d16_margrel1,t36_margrel1,t38_margrel1,t39_margrel1,t41_margrel1,t46_margrel1],[involutiveness_k9_margrel1],[2,35]).
proved(t49_margrel1, margrel1, [d14_margrel1,d16_margrel1,d17_margrel1,t36_margrel1,t38_margrel1,t39_margrel1,t46_margrel1,t47_margrel1],[commutativity_k10_margrel1,dt_k9_margrel1,fc5_margrel1],[2,49]).
proved(t50_margrel1, margrel1, [d13_margrel1,d14_margrel1,d17_margrel1,t39_margrel1,t46_margrel1,t47_margrel1,t49_margrel1],[commutativity_k10_margrel1,dt_k9_margrel1],[2,39]).
proved(t51_margrel1, margrel1, [d14_margrel1,t36_margrel1,t38_margrel1,t39_margrel1,t50_margrel1],[],[1,20]).
proved(t52_margrel1, margrel1, [d10_xboole_0,d13_margrel1,d14_margrel1,d16_margrel1,t39_margrel1,t46_margrel1,t49_margrel1,t50_margrel1],[commutativity_k10_margrel1,reflexivity_r1_tarski],[2,70]).
proved(t53_margrel1, margrel1, [d13_margrel1,d14_margrel1,d18_margrel1,t38_margrel1,t7_boole],[fc1_margrel1,redefinition_k14_margrel1],[2,44]).
proved(t9_margrel1, margrel1, [d2_margrel1,t5_subset,t6_boole],[fc1_margrel1,rc1_funcop_1,rc2_subset_1],[3,32]).
proved(t15_mboolean, mboolean, [t21_pboole,t44_pboole],[dt_k3_pboole],[2,24]).
proved(t16_mboolean, mboolean, [t15_pboole,t62_pboole,t82_pboole,t88_pboole],[dt_k4_pboole],[3,21]).
proved(t5_mboolean, mboolean, [t49_pboole],[],[1,5]).
proved(t10_mcart_1, mcart_1, [t102_zfmisc_1,t106_zfmisc_1,t7_mcart_1],[],[3,18]).
proved(t11_mcart_1, mcart_1, [t106_zfmisc_1,t7_mcart_1],[],[2,14]).
proved(t12_mcart_1, mcart_1, [t106_zfmisc_1,t10_mcart_1,t128_zfmisc_1],[],[2,13]).
proved(t13_mcart_1, mcart_1, [t106_zfmisc_1,t10_mcart_1,t128_zfmisc_1],[],[2,13]).
proved(t14_mcart_1, mcart_1, [t12_mcart_1,t13_mcart_1],[],[1,10]).
proved(t17_mcart_1, mcart_1, [t13_mcart_1,t15_mcart_1],[],[1,14]).
proved(t18_mcart_1, mcart_1, [t12_mcart_1,t16_mcart_1],[],[1,14]).
proved(t19_mcart_1, mcart_1, [t15_mcart_1,t16_mcart_1],[],[2,30]).
proved(t23_mcart_1, mcart_1, [t103_zfmisc_1,t8_mcart_1],[reflexivity_r1_tarski],[1,9]).
proved(t24_mcart_1, mcart_1, [d2_xboole_0,d2_zfmisc_1,d3_tarski,d3_xboole_0,d4_xboole_0,t1_boole,t23_mcart_1,t2_boole,t2_subset,t3_subset,t4_boole,t5_subset,t6_boole],[],[9,45]).
proved(t37_mcart_1, mcart_1, [t35_mcart_1,t36_mcart_1],[],[1,22]).
proved(t38_mcart_1, mcart_1, [t36_mcart_1],[],[1,11]).
proved(t42_mcart_1, mcart_1, [d3_mcart_1,d3_zfmisc_1,t35_zfmisc_1,t36_zfmisc_1],[commutativity_k2_tarski],[1,12]).
proved(t54_mcart_1, mcart_1, [d3_zfmisc_1,d4_zfmisc_1],[],[1,6]).
proved(t57_mcart_1, mcart_1, [t55_mcart_1,t56_mcart_1],[],[1,27]).
proved(t58_mcart_1, mcart_1, [t56_mcart_1],[],[1,11]).
proved(t64_mcart_1, mcart_1, [d3_zfmisc_1,d4_zfmisc_1,t127_zfmisc_1],[symmetry_r1_xboole_0],[3,27]).
proved(t66_mcart_1, mcart_1, [t113_zfmisc_1,t26_mcart_1],[],[1,16]).
proved(t67_mcart_1, mcart_1, [t102_zfmisc_1,t20_mcart_1,t23_mcart_1],[],[3,19]).
proved(t68_mcart_1, mcart_1, [d1_mcart_1,d2_mcart_1,d3_mcart_1,t50_mcart_1],[],[5,35]).
proved(t69_mcart_1, mcart_1, [t48_mcart_1,t50_mcart_1],[dt_k5_mcart_1,dt_k6_mcart_1,dt_k7_mcart_1],[2,32]).
proved(t70_mcart_1, mcart_1, [t48_mcart_1,t50_mcart_1],[dt_k5_mcart_1,dt_k6_mcart_1,dt_k7_mcart_1],[2,32]).
proved(t71_mcart_1, mcart_1, [t48_mcart_1,t50_mcart_1],[dt_k5_mcart_1,dt_k6_mcart_1,dt_k7_mcart_1],[2,32]).
proved(t75_mcart_1, mcart_1, [t50_mcart_1],[],[1,32]).
proved(t78_mcart_1, mcart_1, [d1_mcart_1,d2_mcart_1,d3_mcart_1,d4_mcart_1,t61_mcart_1],[],[5,45]).
proved(t79_mcart_1, mcart_1, [t60_mcart_1,t61_mcart_1],[dt_k10_mcart_1,dt_k11_mcart_1,dt_k8_mcart_1,dt_k9_mcart_1],[2,39]).
proved(t7_mcart_1, mcart_1, [d1_mcart_1,d2_mcart_1],[],[2,10]).
proved(t80_mcart_1, mcart_1, [t60_mcart_1,t61_mcart_1],[dt_k10_mcart_1,dt_k11_mcart_1,dt_k8_mcart_1,dt_k9_mcart_1],[2,39]).
proved(t81_mcart_1, mcart_1, [t60_mcart_1,t61_mcart_1],[dt_k10_mcart_1,dt_k11_mcart_1,dt_k8_mcart_1,dt_k9_mcart_1],[2,39]).
proved(t86_mcart_1, mcart_1, [t61_mcart_1],[],[1,42]).
proved(t89_mcart_1, mcart_1, [d14_mcart_1,d15_mcart_1,d16_mcart_1,d17_mcart_1,d1_mcart_1,d2_mcart_1],[],[3,27]).
proved(t8_mcart_1, mcart_1, [t7_mcart_1],[],[1,10]).
proved(t11_mcart_2, mcart_2, [d2_mcart_2,d3_zfmisc_1,d4_zfmisc_1],[],[1,7]).
proved(t12_mcart_2, mcart_2, [d2_mcart_2,d3_zfmisc_1,d4_zfmisc_1,t54_mcart_1],[],[1,10]).
proved(t15_mcart_2, mcart_2, [t13_mcart_2,t14_mcart_2],[],[1,32]).
proved(t16_mcart_2, mcart_2, [t14_mcart_2],[],[1,11]).
proved(t24_mcart_2, mcart_2, [d1_mcart_2,d3_mcart_1,d4_mcart_1,t20_mcart_2,t7_mcart_1],[],[4,54]).
proved(t33_mcart_2, mcart_2, [t20_mcart_2],[],[1,52]).
proved(t5_mcart_2, mcart_2, [d1_mcart_2,d3_mcart_1,d4_mcart_1],[],[1,7]).
proved(t6_mcart_2, mcart_2, [d1_mcart_2,d3_mcart_1,d4_mcart_1,t32_mcart_1],[],[1,10]).
proved(t12_mcart_3, mcart_3, [d2_mcart_2,d2_mcart_3,d3_zfmisc_1,d4_zfmisc_1,t54_mcart_1],[],[1,11]).
proved(t13_mcart_3, mcart_3, [d4_zfmisc_1,t12_mcart_3,t54_mcart_1],[],[1,7]).
proved(t14_mcart_3, mcart_3, [d2_mcart_2,d2_mcart_3,d3_zfmisc_1,d4_zfmisc_1,t12_mcart_2,t54_mcart_1],[],[1,14]).
proved(t17_mcart_3, mcart_3, [t15_mcart_3,t16_mcart_3],[],[1,37]).
proved(t18_mcart_3, mcart_3, [t16_mcart_3],[],[1,11]).
proved(t36_mcart_3, mcart_3, [t22_mcart_3],[],[1,62]).
proved(t5_mcart_3, mcart_3, [d1_mcart_2,d1_mcart_3,d3_mcart_1],[],[1,7]).
proved(t6_mcart_3, mcart_3, [d4_mcart_1,t32_mcart_1,t5_mcart_3],[],[1,7]).
proved(t7_mcart_3, mcart_3, [d1_mcart_2,d1_mcart_3,d3_mcart_1,d4_mcart_1,t32_mcart_1,t6_mcart_2],[],[1,14]).
proved(t13_mcart_4, mcart_4, [d2_mcart_3,d2_mcart_4,d3_zfmisc_1],[],[1,7]).
proved(t14_mcart_4, mcart_4, [d2_mcart_2,d3_zfmisc_1,d4_zfmisc_1,t11_mcart_4,t54_mcart_1],[],[1,10]).
proved(t15_mcart_4, mcart_4, [d4_zfmisc_1,t11_mcart_2,t12_mcart_2,t13_mcart_4],[],[1,10]).
proved(t16_mcart_4, mcart_4, [d2_mcart_3,d2_mcart_4,d3_zfmisc_1,d4_zfmisc_1,t12_mcart_2,t14_mcart_3],[],[1,14]).
proved(t19_mcart_4, mcart_4, [t17_mcart_4,t18_mcart_4],[],[1,42]).
proved(t20_mcart_4, mcart_4, [t18_mcart_4],[],[1,11]).
proved(t5_mcart_4, mcart_4, [d1_mcart_3,d1_mcart_4,d3_mcart_1],[],[1,7]).
proved(t6_mcart_4, mcart_4, [d1_mcart_2,d1_mcart_3,d1_mcart_4,d3_mcart_1,t32_mcart_1],[],[1,11]).
proved(t7_mcart_4, mcart_4, [t5_mcart_2,t5_mcart_4],[],[1,6]).
proved(t8_mcart_4, mcart_4, [d1_mcart_3,d1_mcart_4,d3_mcart_1,d4_mcart_1,t6_mcart_2,t7_mcart_3],[],[1,14]).
proved(t14_mcart_5, mcart_5, [d2_mcart_4,d2_mcart_5,d3_zfmisc_1],[],[1,7]).
proved(t15_mcart_5, mcart_5, [d2_mcart_2,d2_mcart_3,d2_mcart_5,d3_zfmisc_1,d4_zfmisc_1,t11_mcart_4,t12_mcart_2,t54_mcart_1],[],[1,18]).
proved(t16_mcart_5, mcart_5, [d2_mcart_2,t12_mcart_2,t15_mcart_5],[],[1,7]).
proved(t17_mcart_5, mcart_5, [d4_zfmisc_1,t12_mcart_3,t13_mcart_3,t14_mcart_3,t14_mcart_5],[],[1,11]).
proved(t18_mcart_5, mcart_5, [d2_mcart_4,d2_mcart_5,d3_zfmisc_1,d4_zfmisc_1,t14_mcart_3,t16_mcart_4],[],[1,14]).
proved(t21_mcart_5, mcart_5, [t19_mcart_5,t20_mcart_5],[],[1,47]).
proved(t22_mcart_5, mcart_5, [t20_mcart_5],[],[1,11]).
proved(t5_mcart_5, mcart_5, [d1_mcart_4,d1_mcart_5,d3_mcart_1],[],[1,7]).
proved(t6_mcart_5, mcart_5, [d1_mcart_2,d1_mcart_3,d1_mcart_5,d3_mcart_1,d4_mcart_1,t32_mcart_1,t3_mcart_4,t6_mcart_2],[],[1,18]).
proved(t7_mcart_5, mcart_5, [d1_mcart_2,t6_mcart_2,t6_mcart_5],[],[1,7]).
proved(t8_mcart_5, mcart_5, [t5_mcart_3,t5_mcart_5,t6_mcart_3],[],[1,7]).
proved(t9_mcart_5, mcart_5, [d1_mcart_4,d1_mcart_5,d3_mcart_1,d4_mcart_1,t7_mcart_3,t8_mcart_4],[],[1,14]).
proved(t10_mcart_6, mcart_6, [d1_mcart_5,d1_mcart_6,d3_mcart_1,d4_mcart_1,t8_mcart_4,t9_mcart_5],[],[1,14]).
proved(t14_mcart_6, mcart_6, [d2_mcart_5,d2_mcart_6,d3_zfmisc_1],[],[1,7]).
proved(t15_mcart_6, mcart_6, [d2_mcart_2,d2_mcart_3,d2_mcart_4,d2_mcart_6,d3_zfmisc_1,d4_zfmisc_1,t12_mcart_2,t12_mcart_3,t12_mcart_5,t13_mcart_3,t54_mcart_1],[],[1,25]).
proved(t16_mcart_6, mcart_6, [d2_mcart_2,d2_mcart_3,d2_mcart_5,d2_mcart_6,d3_zfmisc_1,d4_zfmisc_1,t11_mcart_4,t12_mcart_2],[],[2,19]).
proved(t17_mcart_6, mcart_6, [d2_mcart_2,t12_mcart_3,t13_mcart_3,t14_mcart_3,t15_mcart_6],[],[1,11]).
proved(t18_mcart_6, mcart_6, [t13_mcart_4,t14_mcart_6,t15_mcart_4],[],[1,7]).
proved(t19_mcart_6, mcart_6, [d2_mcart_5,d2_mcart_6,d3_zfmisc_1,d4_zfmisc_1,t16_mcart_4,t18_mcart_5],[],[1,14]).
proved(t22_mcart_6, mcart_6, [t20_mcart_6,t21_mcart_6],[],[1,52]).
proved(t23_mcart_6, mcart_6, [t21_mcart_6],[],[1,11]).
proved(t5_mcart_6, mcart_6, [d1_mcart_5,d1_mcart_6,d3_mcart_1],[],[1,7]).
proved(t6_mcart_6, mcart_6, [d1_mcart_2,d1_mcart_3,d1_mcart_4,d1_mcart_6,d3_mcart_1,d4_mcart_1,t3_mcart_5,t6_mcart_2],[],[2,20]).
proved(t7_mcart_6, mcart_6, [d1_mcart_2,d1_mcart_3,d1_mcart_6,d3_mcart_1,d4_mcart_1,t3_mcart_4,t3_mcart_5,t6_mcart_2],[],[2,20]).
proved(t8_mcart_6, mcart_6, [t5_mcart_3,t6_mcart_3,t6_mcart_6],[],[1,7]).
proved(t9_mcart_6, mcart_6, [t5_mcart_4,t5_mcart_6,t7_mcart_4],[],[1,7]).
proved(t10_midsp_1, midsp_1, [t7_midsp_1],[dt_k1_midsp_1,dt_k3_midsp_1,fc1_midsp_1],[3,22]).
proved(t15_midsp_1, midsp_1, [d4_midsp_1],[dt_k4_midsp_1,dt_l1_midsp_1,existence_m1_subset_1,redefinition_k4_midsp_1],[2,31]).
proved(t16_midsp_1, midsp_1, [d4_midsp_1],[dt_k4_midsp_1,dt_l1_midsp_1,existence_m1_subset_1,redefinition_k4_midsp_1],[2,31]).
proved(t21_midsp_1, midsp_1, [d5_midsp_1],[dt_l1_midsp_1],[1,13]).
proved(t22_midsp_1, midsp_1, [d5_midsp_1],[commutativity_k4_midsp_1,dt_l1_midsp_1],[3,27]).
proved(t24_midsp_1, midsp_1, [t22_midsp_1,t23_midsp_1],[dt_l1_midsp_1],[2,19]).
proved(t25_midsp_1, midsp_1, [d5_midsp_1],[commutativity_k4_midsp_1,dt_l1_midsp_1],[2,19]).
proved(t26_midsp_1, midsp_1, [d4_midsp_1,d5_midsp_1],[commutativity_k4_midsp_1,dt_k4_midsp_1,dt_l1_midsp_1,existence_m1_subset_1,redefinition_k4_midsp_1],[6,35]).
proved(t37_midsp_1, midsp_1, [t35_midsp_1],[symmetry_r2_midsp_1],[2,19]).
proved(t43_midsp_1, midsp_1, [d7_midsp_1],[dt_l1_midsp_1,fraenkel_a_2_0_midsp_1,reflexivity_r2_midsp_1],[2,29]).
proved(t15_midsp_2, midsp_2, [d1_midsp_2,t30_rlvect_1,t44_rlvect_1,t45_rlvect_1,t64_vectsp_1],[dt_k5_rlvect_1,dt_l1_rlvect_1],[2,43]).
proved(t19_midsp_2, midsp_2, [d1_midsp_2,d28_vectsp_1,t16_rlvect_1],[existence_m1_subset_1],[1,20]).
proved(t2_midsp_2, midsp_2, [d1_midsp_2,t10_rlvect_1,t60_rlvect_1,t6_boole],[dt_k6_finseq_1,dt_k9_rlvect_1,dt_l1_rlvect_1,dt_m1_finseq_1,dt_m2_finseq_1,redefinition_m2_finseq_1],[3,39]).
proved(t13_mod_1, mod_1, [d13_vectsp_1,t40_vectsp_1],[dt_k2_group_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[2,30]).
proved(t14_mod_1, mod_1, [d19_vectsp_1,t41_vectsp_1],[dt_k2_group_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[2,30]).
proved(t26_mod_1, mod_1, [d26_vectsp_1,t43_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_k1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[3,55]).
proved(t43_mod_1, mod_1, [d23_vectsp_2,t43_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_k1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[2,55]).
proved(t10_mod_2, mod_2, [d10_mod_2,d6_mod_2,d7_mod_2,d8_mod_2,t7_vectsp_1],[cc1_vectsp_1,cc4_algstr_1,cc4_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[2,61]).
proved(t11_mod_2, mod_2, [d10_mod_2,d11_mod_2,d6_mod_2,d7_mod_2],[cc1_vectsp_1,cc4_algstr_1,cc4_vectsp_1,dt_l1_group_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[2,118]).
proved(t15_mod_2, mod_2, [d11_mod_2,d6_mod_2,d7_mod_2,d8_mod_2],[abstractness_v2_mod_2,cc1_vectsp_1,cc4_algstr_1,cc4_vectsp_1,dt_k4_mod_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_mod_2],[4,142]).
proved(t33_mod_4, mod_4, [t32_mod_4],[cc1_vectsp_1,cc4_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1],[2,50]).
proved(t49_mod_4, mod_4, [t48_mod_4,t7_vectsp_1],[dt_l1_rlvect_1,existence_m1_subset_1],[1,29]).
proved(t6_mod_4, mod_4, [t5_mod_4],[dt_k2_mod_4,fc1_mod_4,fc3_mod_4,fc4_mod_4],[1,43]).
proved(t14_mssubfam, mssubfam, [d3_pboole,t31_funct_6],[dt_m1_pboole,fc7_funcop_1,redefinition_k1_mssubfam],[1,23]).
proved(t18_mssubfam, mssubfam, [d3_pre_circ,d5_pboole,t3_subset],[cc2_finset_1],[3,24]).
proved(t3_mssubfam, mssubfam, [d10_setfam_1,d10_xboole_0,t3_subset,t4_setfam_1,t6_boole],[antisymmetry_r2_hidden,rc2_finset_1,redefinition_k6_setfam_1],[2,37]).
proved(t5_mssubfam, mssubfam, [d10_setfam_1,t6_setfam_1],[redefinition_k6_setfam_1],[4,18]).
proved(t6_mssubfam, mssubfam, [t1_xboole_1,t2_mssubfam],[],[2,11]).
proved(t12_msualg_2, msualg_2, [d5_msualg_1,t11_msualg_2],[fc5_msualg_2],[1,21]).
proved(t13_msualg_3, msualg_3, [d10_msualg_3,d11_msualg_3,d12_msualg_3,d5_msualg_1],[],[2,65]).
proved(t10_nattra_1, nattra_1, [d4_cat_2,d8_cat_1,t8_nattra_1],[abstractness_v1_cat_1,dt_m3_cat_2,existence_m1_subset_1,reflexivity_r1_tarski],[2,68]).
proved(t3_nattra_1, nattra_1, [d6_cat_1,d7_cat_1,t23_cat_1,t55_cat_1,t5_subset,t6_boole],[dt_m1_cat_1,rc2_finset_1,rc2_subset_1],[3,53]).
proved(t46_nattra_1, nattra_1, [d19_nattra_1,t32_cat_1,t35_cat_1],[dt_k5_cat_1,dt_k8_cat_1,existence_m1_subset_1,redefinition_k10_cat_1],[3,23]).
proved(t4_nattra_1, nattra_1, [t35_cat_1],[],[1,9]).
proved(t53_nattra_1, nattra_1, [t52_nattra_1],[dt_k13_nattra_1,dt_m3_cat_2],[2,25]).
proved(t17_net_1, net_1, [t16_net_1],[],[1,7]).
proved(t19_net_1, net_1, [t18_net_1],[],[1,7]).
proved(t22_net_1, net_1, [d9_net_1],[],[2,17]).
proved(t24_net_1, net_1, [t23_net_1],[],[1,8]).
proved(t25_net_1, net_1, [d10_net_1],[],[2,17]).
proved(t26_net_1, net_1, [d10_net_1,d2_net_1,d9_net_1,t18_net_1,t1_boole,t22_net_1,t23_net_1,t25_net_1,t2_subset,t6_boole,t6_net_1,t7_boole,t8_boole,t8_net_1,t9_net_1],[commutativity_k2_xboole_0,fc12_relat_1,fc4_relat_1,rc2_subset_1],[3,157]).
proved(t27_net_1, net_1, [t26_net_1],[],[1,8]).
proved(t4_net_1, net_1, [d2_net_1,t7_xboole_1],[],[2,7]).
proved(t5_net_1, net_1, [d2_net_1,t7_xboole_1],[commutativity_k2_xboole_0],[2,9]).
proved(t7_net_1, net_1, [t1_subset,t2_subset,t6_boole,t6_net_1],[],[2,17]).
proved(t8_net_1, net_1, [t1_subset,t2_subset,t6_boole,t6_net_1],[],[2,15]).
proved(t9_net_1, net_1, [t1_subset,t2_subset,t6_boole,t6_net_1],[],[2,15]).
proved(t27_normform, normform, [t26_normform,t6_boole],[cc1_finsub_1,fc1_xboole_0],[1,24]).
proved(t59_normform, normform, [d8_normform,t58_normform],[],[1,11]).
proved(t60_normform, normform, [d10_normform,d8_normform],[fraenkel_a_2_0_normform],[2,19]).
proved(t23_openlatt, openlatt, [d5_openlatt,t22_openlatt,t26_lattices,t7_boole],[cc1_lattices,dt_l3_lattices,fc1_xboole_0,fraenkel_a_1_0_openlatt,redefinition_r3_lattices],[2,47]).
proved(t3_openlatt, openlatt, [d1_openlatt,d5_pre_topc],[],[2,24]).
proved(t1_oposet_1, oposet_1, [t97_orders_1],[dt_k6_partfun1],[1,6]).
proved(t35_oposet_1, oposet_1, [d13_oposet_1,d19_oposet_1,d9_oposet_1],[cc1_partfun1,cc1_relset_1,dt_m2_relset_1,dt_u1_orders_2],[2,24]).
proved(t44_oposet_1, oposet_1, [d24_oposet_1,d25_oposet_1],[cc3_oposet_1,cc5_oposet_1,cc7_oposet_1,cc8_oposet_1,dt_l1_oposet_1],[2,69]).
proved(t45_oposet_1, oposet_1, [d27_oposet_1,d28_oposet_1],[cc4_oposet_1,cc5_oposet_1],[1,19]).
proved(t46_oposet_1, oposet_1, [d27_oposet_1,t37_oposet_1],[dt_l1_oposet_1],[1,12]).
proved(t47_oposet_1, oposet_1, [d27_oposet_1,d28_oposet_1,t41_oposet_1,t42_oposet_1],[dt_l1_oposet_1],[1,22]).
proved(t49_oposet_1, oposet_1, [d22_oposet_1,d24_oposet_1],[cc12_oposet_1,cc5_oposet_1,dt_l1_oposet_1],[1,23]).
proved(t6_oposet_1, oposet_1, [d1_oposet_1,t1_toler_1],[],[0,5]).
proved(t7_oposet_1, oposet_1, [d9_relat_2,t98_orders_1],[cc1_relset_1,dt_m2_relset_1],[2,16]).
proved(t30_oppcat_1, oppcat_1, [d2_oppcat_1,d3_oppcat_1,t29_oppcat_1],[dt_k2_oppcat_1,dt_k4_oppcat_1],[2,34]).
proved(t38_oppcat_1, oppcat_1, [d2_oppcat_1,t37_oppcat_1,t5_oppcat_1],[dt_k4_oppcat_1],[3,34]).
proved(t45_oppcat_1, oppcat_1, [d2_oppcat_1,d3_oppcat_1,t3_oppcat_1,t44_oppcat_1],[dt_k3_oppcat_1],[3,33]).
proved(t64_oppcat_1, oppcat_1, [t57_oppcat_1,t58_oppcat_1],[dt_k2_oppcat_1],[2,22]).
proved(t65_oppcat_1, oppcat_1, [t56_oppcat_1,t59_oppcat_1],[dt_k2_oppcat_1],[2,22]).
proved(t100_orders_1, orders_1, [d6_relat_1,t99_orders_1],[cc1_relset_1,dt_m2_relset_1,idempotence_k2_xboole_0,redefinition_k4_relset_1,redefinition_k5_relset_1,redefinition_m2_relset_1],[3,31]).
proved(t108_orders_1, orders_1, [d3_orders_1,d4_orders_1,d5_orders_1],[],[1,19]).
proved(t109_orders_1, orders_1, [d3_orders_1,d4_orders_1],[],[1,12]).
proved(t110_orders_1, orders_1, [d4_orders_1],[cc1_relset_1,dt_m2_relset_1],[2,13]).
proved(t112_orders_1, orders_1, [d5_orders_1],[cc1_relset_1,dt_m2_relset_1],[2,14]).
proved(t120_orders_1, orders_1, [d4_orders_1,t109_orders_1],[dt_k6_relat_1,fc2_partfun1,redefinition_k6_partfun1],[2,20]).
proved(t124_orders_1, orders_1, [d5_wellord1,d6_orders_1,d7_orders_1,d8_orders_1],[],[2,29]).
proved(t125_orders_1, orders_1, [d6_orders_1,d7_orders_1,d8_orders_1],[],[2,22]).
proved(t126_orders_1, orders_1, [d6_orders_1,d7_orders_1],[],[1,12]).
proved(t127_orders_1, orders_1, [d16_relat_2,d3_orders_1,d6_orders_1,d9_relat_2],[],[1,18]).
proved(t130_orders_1, orders_1, [d12_relat_2,d16_relat_2,d4_orders_1,d7_orders_1,d9_relat_2],[],[1,24]).
proved(t146_orders_1, orders_1, [d12_relat_2,d16_relat_2,d6_orders_1,d6_relat_1,d7_orders_1,d9_relat_2,t71_relat_1],[dt_k6_relat_1,fc2_partfun1,idempotence_k2_xboole_0,redefinition_k6_partfun1],[3,42]).
proved(t152_orders_1, orders_1, [d7_relat_1,t151_orders_1],[dt_k4_relat_1,involutiveness_k4_relat_1],[5,45]).
proved(t164_orders_1, orders_1, [d7_relat_1,t163_orders_1],[dt_k4_relat_1,involutiveness_k4_relat_1],[6,45]).
proved(t166_orders_1, orders_1, [d7_relat_1,t165_orders_1],[dt_k4_relat_1,involutiveness_k4_relat_1],[6,45]).
proved(t7_orders_1, orders_1, [t5_orders_1],[reflexivity_r1_tarski],[1,7]).
proved(t93_orders_1, orders_1, [d1_relat_2,d3_tarski],[],[3,18]).
proved(t98_orders_1, orders_1, [d10_xboole_0,d1_funct_2,d1_relat_2,d3_tarski,d6_relat_1,t12_relset_1,t20_relat_1],[antisymmetry_r2_hidden,cc1_relset_1,dt_m2_relset_1,idempotence_k2_xboole_0,redefinition_k4_relset_1,redefinition_m2_relset_1],[4,53]).
proved(t99_orders_1, orders_1, [d10_xboole_0,d3_tarski,t12_orders_1,t20_relat_1,t3_subset],[antisymmetry_r2_hidden,cc1_relset_1,dt_k4_relset_1,dt_k5_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_k5_relset_1,redefinition_m2_relset_1],[4,48]).
proved(t28_orders_2, orders_2, [d10_orders_2,t25_orders_2],[],[2,19]).
proved(t30_orders_2, orders_2, [d10_orders_2,t28_orders_2],[],[1,15]).
proved(t48_orders_2, orders_2, [d12_orders_2,d1_struct_0,d1_tarski,t12_pre_topc,t35_orders_2,t47_orders_2,t4_subset,t6_boole],[antisymmetry_r2_hidden,dt_l1_orders_2,fc1_struct_0,fc1_xboole_0,redefinition_k1_struct_0],[3,50]).
proved(t50_orders_2, orders_2, [d13_orders_2,d1_struct_0,d1_tarski,t12_pre_topc,t35_orders_2,t49_orders_2,t4_subset,t6_boole],[antisymmetry_r2_hidden,dt_l1_orders_2,fc1_struct_0,fc1_xboole_0,redefinition_k1_struct_0],[3,50]).
proved(t62_orders_2, orders_2, [d1_struct_0,t12_pre_topc,t4_subset,t57_orders_2,t6_boole],[dt_k3_orders_2,dt_l1_orders_2,fc1_struct_0,fc1_xboole_0,irreflexivity_r2_orders_2],[3,35]).
proved(t69_orders_2, orders_2, [d10_xboole_0,d1_struct_0,t12_pre_topc,t2_xboole_1,t3_subset,t67_orders_2,t68_orders_2,t6_boole],[dt_l1_orders_2,fc1_struct_0,fc1_xboole_0,rc2_subset_1],[7,62]).
proved(t82_orders_2, orders_2, [d3_xboole_0,d7_xboole_0,t5_subset,t6_boole,t79_orders_2],[antisymmetry_r2_hidden,rc2_subset_1],[3,30]).
proved(t10_ordinal1, ordinal1, [d1_ordinal1,d1_tarski,d2_xboole_0,t3_boole],[],[4,10]).
proved(t14_ordinal1, ordinal1, [t13_ordinal1],[antisymmetry_r2_hidden],[2,7]).
proved(t19_ordinal1, ordinal1, [d2_ordinal1,d3_tarski],[cc1_ordinal1],[2,13]).
proved(t22_ordinal1, ordinal1, [d8_xboole_0,t19_ordinal1,t21_ordinal1],[],[2,20]).
proved(t25_ordinal1, ordinal1, [d2_ordinal1,d3_tarski,d9_xboole_0,t104_xboole_1,t23_ordinal1,t24_ordinal1,t7_boole,t7_tarski],[cc1_ordinal1,rc2_funct_1],[4,43]).
proved(t26_ordinal1, ordinal1, [t24_ordinal1,t7_ordinal1],[connectedness_r1_ordinal1,redefinition_r1_ordinal1,reflexivity_r1_tarski],[3,26]).
proved(t34_ordinal1, ordinal1, [d10_xboole_0,t10_ordinal1,t13_ordinal1,t24_ordinal1,t26_ordinal1],[antisymmetry_r2_hidden,redefinition_r1_ordinal1,reflexivity_r1_ordinal1],[3,51]).
proved(t37_ordinal1, ordinal1, [t36_ordinal1,t7_ordinal1],[rc3_ordinal1],[3,13]).
proved(t42_ordinal1, ordinal1, [d10_xboole_0,d1_ordinal1,d1_tarski,d2_ordinal1,d3_tarski,t10_ordinal1,t13_ordinal1,t14_ordinal1,t1_boole,t1_subset,t23_ordinal1,t24_ordinal1,t2_subset,t32_ordinal1,t33_ordinal1,t34_ordinal1,t37_xboole_1,t3_boole,t41_ordinal1,t6_boole,t7_boole,t7_tarski,t7_xboole_1,t8_boole],[antisymmetry_r2_hidden,cc1_ordinal1,cc3_ordinal1,commutativity_k2_xboole_0,connectedness_r1_ordinal1,fc2_ordinal1,fc3_ordinal1,rc1_xboole_0,rc3_ordinal1,redefinition_r1_ordinal1,reflexivity_r1_ordinal1],[12,426]).
proved(t47_ordinal1, ordinal1, [d8_ordinal1,t1_xboole_1],[dt_m1_ordinal1],[2,19]).
proved(t50_ordinal1, ordinal1, [d8_xboole_0],[connectedness_r1_ordinal1,redefinition_r1_ordinal1],[2,21]).
proved(t10_ordinal2, ordinal2, [d2_ordinal2,t23_ordinal1],[rc3_ordinal1],[3,16]).
proved(t19_ordinal2, ordinal2, [d2_ordinal1,d3_tarski,d5_ordinal2,t16_ordinal2,t23_ordinal1,t2_subset,t32_ordinal1,t38_ordinal1,t41_ordinal1,t7_boole,t7_tarski],[cc1_ordinal1,fc2_ordinal1,rc1_xboole_0,rc3_ordinal1,redefinition_r1_ordinal1,reflexivity_r1_ordinal1],[7,106]).
proved(t29_ordinal2, ordinal2, [d3_tarski,t26_ordinal1,t28_ordinal2,t38_ordinal1],[antisymmetry_r2_hidden,cc1_ordinal1,dt_k7_ordinal2,rc3_ordinal1,redefinition_r1_ordinal1],[3,30]).
proved(t48_ordinal2, ordinal2, [d10_xboole_0,d3_tarski,d4_ordinal2,t10_ordinal1,t3_subset,t41_ordinal1,t44_ordinal2,t45_ordinal2,t5_subset,t6_boole],[antisymmetry_r2_hidden,cc1_ordinal1,cc3_ordinal1,fc2_ordinal1,rc2_subset_1,rc3_ordinal1],[4,46]).
proved(t10_ordinal3, ordinal3, [t24_ordinal1,t6_boole,t7_boole],[fc2_ordinal1,rc1_xboole_0],[2,13]).
proved(t19_ordinal3, ordinal3, [d4_ordinal2,d8_xboole_0,t17_ordinal3,t21_ordinal1],[cc1_ordinal1,dt_k4_ordinal2,fc2_ordinal1,fc3_ordinal1,redefinition_r1_ordinal1],[2,37]).
proved(t1_ordinal3, ordinal3, [d3_tarski,t13_ordinal1],[],[2,8]).
proved(t25_ordinal3, ordinal3, [t23_ordinal1,t24_ordinal1,t49_ordinal2],[antisymmetry_r2_hidden,cc1_ordinal1],[3,25]).
proved(t29_ordinal3, ordinal3, [d3_tarski,t10_ordinal1,t10_ordinal3,t23_ordinal1,t2_xboole_1,t41_ordinal1,t44_ordinal2,t47_ordinal2,t49_ordinal2,t7_boole],[antisymmetry_r2_hidden,cc1_ordinal1,cc3_ordinal1,fc2_ordinal1,rc1_ordinal2],[3,63]).
proved(t2_ordinal3, ordinal3, [t1_ordinal3,t1_xboole_1],[],[2,7]).
proved(t34_ordinal3, ordinal3, [t10_ordinal1,t23_ordinal1,t2_ordinal2,t41_ordinal1,t42_ordinal1,t47_ordinal2,t52_ordinal2,t53_ordinal2,t57_ordinal2,t6_boole,t7_boole],[cc1_ordinal1,fc2_ordinal1,fc3_ordinal1,rc1_ordinal2,rc1_xboole_0],[4,70]).
proved(t60_ordinal3, ordinal3, [d6_ordinal3,t23_ordinal1,t27_ordinal3,t31_ordinal3],[dt_k14_ordinal2,rc1_ordinal2],[2,21]).
proved(t67_ordinal3, ordinal3, [d6_ordinal3,t27_ordinal3,t44_ordinal2],[cc1_ordinal1,dt_k14_ordinal2,fc2_ordinal1],[3,27]).
proved(t68_ordinal3, ordinal3, [d6_ordinal3,t10_ordinal3,t23_ordinal1,t27_ordinal3,t31_ordinal3],[cc1_ordinal1,dt_k14_ordinal2,dt_k5_ordinal3,rc1_ordinal2],[2,33]).
proved(t6_ordinal3, ordinal3, [d3_tarski,t23_ordinal1,t35_ordinal1],[fc4_ordinal1],[3,13]).
proved(t73_ordinal3, ordinal3, [d6_ordinal3,t1_xboole_1,t27_ordinal3,t2_xboole_1,t3_subset,t3_xboole_1,t42_ordinal3,t55_ordinal3,t5_subset,t66_ordinal3,t67_ordinal3,t6_boole],[cc1_ordinal1,dt_k14_ordinal2,dt_k15_ordinal2,existence_m1_subset_1,fc2_ordinal1,rc1_ordinal2,rc1_xboole_0,redefinition_r1_ordinal1],[6,84]).
proved(t75_ordinal3, ordinal3, [d6_ordinal3,t10_ordinal1,t1_xboole_1,t2_xboole_1,t30_ordinal3,t3_subset,t3_xboole_1,t42_ordinal1,t44_ordinal2,t5_subset,t65_ordinal3,t6_boole],[cc1_ordinal1,connectedness_r1_ordinal1,existence_m1_subset_1,fc2_ordinal1,rc1_ordinal2,rc1_xboole_0,reflexivity_r1_ordinal1],[7,70]).
proved(t7_ordinal3, ordinal3, [d7_ordinal2,t6_ordinal3],[dt_k7_ordinal2,rc1_ordinal2],[3,9]).
proved(t83_ordinal3, ordinal3, [d7_ordinal3,d8_ordinal3,t10_ordinal3,t52_ordinal2,t55_ordinal2,t69_ordinal3,t81_ordinal3,t82_ordinal3],[cc1_ordinal1,dt_k6_ordinal3,fc2_ordinal1,rc1_ordinal2],[3,62]).
proved(t84_ordinal3, ordinal3, [d4_ordinal2,t33_ordinal1,t42_ordinal1,t44_ordinal2,t48_ordinal2,t56_ordinal2,t7_ordinal1,t81_ordinal3,t82_ordinal3,t83_ordinal3],[antisymmetry_r2_hidden,cc1_ordinal1,dt_k4_ordinal2,fc2_ordinal1,fc3_ordinal1,rc1_ordinal2,reflexivity_r1_ordinal1,reflexivity_r1_tarski],[3,95]).
proved(t8_ordinal3, ordinal3, [d2_ordinal2,d3_tarski,t23_ordinal1],[antisymmetry_r2_hidden,rc1_ordinal2],[4,20]).
proved(t9_ordinal3, ordinal3, [d1_tarski,d2_ordinal2,t3_boole],[rc1_ordinal2],[3,20]).
proved(t19_osalg_1, osalg_1, [d19_osalg_1,t1_orders_3],[cc1_osalg_1,dt_l2_osalg_1,dt_l3_osalg_1,existence_m1_subset_1,redefinition_r3_orders_2,reflexivity_r1_tarski],[3,41]).
proved(t33_osalg_1, osalg_1, [d26_osalg_1,t1_subset,t2_subset,t30_osalg_1,t31_osalg_1,t32_osalg_1,t4_subset,t6_boole],[cc1_osalg_1,cc8_osalg_1,dt_k9_osalg_1,dt_l1_osalg_1,dt_l3_osalg_1,dt_m2_subset_1,existence_m1_subset_1,fc1_subset_1,fc1_xboole_0,fc3_msafree,redefinition_m1_osalg_1,redefinition_m2_subset_1,reflexivity_r1_osalg_1],[5,108]).
proved(t4_osalg_1, osalg_1, [d4_osalg_1,d5_msualg_1,t3_osalg_1],[dt_l1_osalg_1,existence_m1_subset_1,fc1_xboole_0,fc3_msafree],[2,27]).
proved(t35_parsp_1, parsp_1, [d12_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[2,17]).
proved(t39_parsp_1, parsp_1, [t36_parsp_1,t38_parsp_1],[dt_l1_parsp_1],[3,22]).
proved(t40_parsp_1, parsp_1, [t36_parsp_1,t38_parsp_1],[dt_l1_parsp_1],[4,41]).
proved(t41_parsp_1, parsp_1, [d12_parsp_1,t36_parsp_1,t38_parsp_1,t39_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[5,118]).
proved(t42_parsp_1, parsp_1, [d12_parsp_1,t35_parsp_1,t37_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[4,49]).
proved(t44_parsp_1, parsp_1, [d12_parsp_1,t35_parsp_1,t37_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[2,33]).
proved(t45_parsp_1, parsp_1, [d12_parsp_1,t37_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[1,24]).
proved(t54_parsp_1, parsp_1, [d12_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[2,22]).
proved(t13_parsp_2, parsp_2, [d12_parsp_1,d1_parsp_2,t40_parsp_1,t41_parsp_1,t51_parsp_1,t53_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[3,54]).
proved(t18_parsp_2, parsp_2, [d12_parsp_1,d1_parsp_2,d2_parsp_2,t35_parsp_1,t37_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[3,51]).
proved(t20_parsp_2, parsp_2, [d1_parsp_2,d2_parsp_2,t15_parsp_2,t19_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[3,35]).
proved(t25_parsp_2, parsp_2, [d1_parsp_2,t15_parsp_2,t21_parsp_2,t24_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[6,62]).
proved(t27_parsp_2, parsp_2, [d1_parsp_2,t15_parsp_2,t21_parsp_2,t22_parsp_2,t24_parsp_2,t40_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[6,65]).
proved(t28_parsp_2, parsp_2, [d1_parsp_2,t15_parsp_2,t22_parsp_2,t27_parsp_2,t40_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[4,63]).
proved(t30_parsp_2, parsp_2, [d1_parsp_2,t15_parsp_2,t24_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[4,37]).
proved(t31_parsp_2, parsp_2, [d1_parsp_2,t15_parsp_2,t24_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[7,61]).
proved(t34_parsp_2, parsp_2, [d1_parsp_2,d2_parsp_2,d3_parsp_2,t15_parsp_2,t18_parsp_2,t40_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[5,126]).
proved(t35_parsp_2, parsp_2, [d1_parsp_2,d3_parsp_2,t15_parsp_2,t22_parsp_2,t40_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[4,68]).
proved(t36_parsp_2, parsp_2, [d3_parsp_2,t15_parsp_2,t22_parsp_2,t35_parsp_2,t40_parsp_1],[dt_l1_parsp_1],[9,185]).
proved(t37_parsp_2, parsp_2, [d3_parsp_2,t15_parsp_2,t23_parsp_2,t34_parsp_2,t36_parsp_2,t40_parsp_1],[dt_l1_parsp_1],[4,40]).
proved(t38_parsp_2, parsp_2, [d1_parsp_2,d3_parsp_2,t36_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[1,31]).
proved(t39_parsp_2, parsp_2, [d1_parsp_2,d3_parsp_2,t36_parsp_2,t38_parsp_2,t40_parsp_1],[dt_l1_parsp_1,existence_m1_subset_1],[3,42]).
proved(t40_parsp_2, parsp_2, [d1_parsp_2,t38_parsp_2,t39_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[3,26]).
proved(t41_parsp_2, parsp_2, [d1_parsp_2,t38_parsp_2,t39_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[4,45]).
proved(t42_parsp_2, parsp_2, [d12_parsp_1,d3_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[3,27]).
proved(t44_parsp_2, parsp_2, [d1_parsp_2,d2_parsp_2,d3_parsp_2,t36_parsp_2,t38_parsp_2,t40_parsp_1,t40_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[5,58]).
proved(t45_parsp_2, parsp_2, [d1_parsp_2,d3_parsp_2,t38_parsp_2,t39_parsp_2,t40_parsp_1,t40_parsp_2,t44_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[4,45]).
proved(t51_parsp_2, parsp_2, [d1_parsp_2,t20_parsp_2,t42_parsp_2],[dt_l1_parsp_1,existence_m1_subset_1],[2,24]).
proved(t112_partfun1, partfun1, [d4_partfun1,t54_partfun1,t56_partfun1,t57_partfun1],[],[1,18]).
proved(t114_partfun1, partfun1, [d4_partfun1,t3_subset,t3_xboole_1,t6_boole,t91_partfun1],[dt_k3_partfun1,dt_k4_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc2_partfun1,redefinition_k4_relset_1,redefinition_m2_relset_1],[5,38]).
proved(t121_partfun1, partfun1, [t120_partfun1,t2_subset],[fc1_partfun1],[2,12]).
proved(t128_partfun1, partfun1, [t125_partfun1,t127_partfun1,t1_xboole_1],[],[2,11]).
proved(t135_partfun1, partfun1, [t131_partfun1,t6_grfunc_1],[rc5_funct_1,reflexivity_r1_tarski],[2,13]).
proved(t139_partfun1, partfun1, [t131_partfun1,t6_grfunc_1],[rc5_funct_1,symmetry_r1_partfun1],[3,20]).
proved(t141_partfun1, partfun1, [t130_partfun1,t1_boole],[cc1_funct_1,commutativity_k2_xboole_0,fc12_relat_1,fc2_relat_1,fc4_relat_1],[1,18]).
proved(t142_partfun1, partfun1, [t141_partfun1,t28_xboole_1,t2_boole,t6_boole,t76_partfun1],[fc12_relat_1,fc4_relat_1,rc1_partfun1],[2,26]).
proved(t143_partfun1, partfun1, [d3_xboole_0,d6_partfun1,t37_zfmisc_1,t73_partfun1],[antisymmetry_r2_hidden,cc1_relset_1,commutativity_k3_xboole_0,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1,reflexivity_r1_tarski,symmetry_r1_partfun1],[4,53]).
proved(t144_partfun1, partfun1, [t131_partfun1,t6_grfunc_1,t88_relat_1],[rc5_funct_1,reflexivity_r1_tarski],[3,15]).
proved(t147_partfun1, partfun1, [t131_partfun1,t76_partfun1],[cc1_relset_1,dt_k3_partfun1,dt_m2_relset_1,rc5_funct_1,reflexivity_r1_tarski,symmetry_r1_partfun1],[3,28]).
proved(t148_partfun1, partfun1, [d4_partfun1,d6_partfun1,t9_funct_1],[cc1_relset_1,dt_m2_relset_1,idempotence_k3_xboole_0,redefinition_k4_relset_1,redefinition_m2_relset_1],[2,55]).
proved(t172_partfun1, partfun1, [d10_xboole_0,d3_partfun1,d4_partfun1,d5_funct_1,d7_partfun1,t162_partfun1,t1_subset,t27_partfun1,t2_subset,t2_xboole_1,t3_subset,t3_xboole_1,t4_subset,t5_subset,t62_partfun1,t63_partfun1,t64_partfun1,t64_relat_1,t65_relat_1,t6_boole,t7_boole,t85_partfun1],[antisymmetry_r2_hidden,cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,existence_m1_relset_1,existence_m1_subset_1,fc12_relat_1,fc1_subset_1,fc4_funct_1,fc4_relat_1,fc5_relat_1,rc1_partfun1,rc1_subset_1,rc2_partfun1,rc2_subset_1,rc5_funct_1,redefinition_k4_relset_1,redefinition_m2_relset_1,reflexivity_r1_partfun1,reflexivity_r1_tarski],[17,288]).
proved(t175_partfun1, partfun1, [d4_partfun1,t174_partfun1,t3_subset,t3_xboole_1,t55_partfun1,t57_partfun1],[dt_k4_relset_1,fc4_relat_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[4,41]).
proved(t176_partfun1, partfun1, [t175_partfun1,t57_partfun1],[],[1,11]).
proved(t30_partfun1, partfun1, [t12_relset_1,t1_xboole_1,t28_partfun1],[redefinition_k4_relset_1,redefinition_m2_relset_1],[3,19]).
proved(t32_partfun1, partfun1, [t30_partfun1,t31_partfun1],[],[2,15]).
proved(t36_partfun1, partfun1, [t3_subset,t77_relat_1],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,18]).
proved(t37_partfun1, partfun1, [t3_subset,t79_relat_1],[cc1_relset_1,dt_k5_relset_1,dt_m2_relset_1,redefinition_k5_relset_1,redefinition_m2_relset_1],[3,18]).
proved(t43_partfun1, partfun1, [t33_relset_1],[cc1_relset_1,dt_m2_relset_1,fc4_funct_1,redefinition_k8_relset_1,redefinition_m2_relset_1],[2,19]).
proved(t45_partfun1, partfun1, [t35_relset_1],[cc1_relset_1,dt_m2_relset_1,fc5_funct_1,redefinition_k9_relset_1,redefinition_m2_relset_1],[2,19]).
proved(t54_partfun1, partfun1, [d10_xboole_0,d8_funct_1,t2_xboole_1,t3_subset,t55_funct_1,t5_subset,t64_relat_1,t6_boole],[cc1_relset_1,dt_k2_funct_1,dt_k4_relset_1,dt_m2_relset_1,fc12_relat_1,fc4_relat_1,fc6_relat_1,fc7_relat_1,rc1_partfun1,rc2_partfun1,rc2_subset_1,redefinition_k4_relset_1,redefinition_m2_relset_1,reflexivity_r1_tarski],[5,94]).
proved(t56_partfun1, partfun1, [t12_relset_1,t3_xboole_1,t46_grfunc_1,t55_partfun1,t6_boole,t87_relat_1],[dt_k7_relat_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,fc6_relat_1,rc2_partfun1,redefinition_m2_relset_1],[5,39]).
proved(t57_partfun1, partfun1, [t54_partfun1,t64_relat_1],[cc1_relset_1,dt_m2_relset_1],[2,15]).
proved(t58_partfun1, partfun1, [t57_partfun1],[],[1,11]).
proved(t59_partfun1, partfun1, [t57_partfun1],[cc1_funct_1,cc1_relat_1,cc2_funct_1,fc4_relat_1],[1,14]).
proved(t60_partfun1, partfun1, [t51_partfun1,t54_partfun1,t55_funct_1,t55_partfun1,t57_partfun1,t6_boole],[dt_k2_funct_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc1_partfun1],[2,53]).
proved(t61_partfun1, partfun1, [t53_partfun1,t54_partfun1,t55_partfun1,t57_partfun1,t6_boole],[fc12_relat_1,fc4_relat_1,fc7_relat_1,rc1_partfun1],[3,36]).
proved(t63_partfun1, partfun1, [t55_partfun1,t60_relat_1,t64_relat_1],[],[1,15]).
proved(t64_partfun1, partfun1, [t62_partfun1,t64_relat_1],[cc1_relset_1,dt_m2_relset_1],[2,15]).
proved(t65_partfun1, partfun1, [t64_partfun1],[],[1,11]).
proved(t66_partfun1, partfun1, [t64_partfun1],[cc1_funct_1,cc1_relat_1,cc2_funct_1,fc4_relat_1],[1,14]).
proved(t67_partfun1, partfun1, [t150_relat_1,t3_xboole_1,t64_partfun1],[reflexivity_r1_tarski],[1,13]).
proved(t68_partfun1, partfun1, [t172_relat_1,t2_xboole_1,t3_xboole_1,t64_partfun1],[],[1,14]).
proved(t70_partfun1, partfun1, [d8_funct_1,t1_subset,t2_subset,t37_zfmisc_1,t39_zfmisc_1,t3_subset,t6_boole,t6_zfmisc_1],[cc1_funct_1,cc1_relat_1,cc1_relset_1,cc2_funct_1,dt_k4_relset_1,dt_m2_relset_1,fc2_subset_1,fc4_relat_1,fc5_relat_1,redefinition_k4_relset_1,redefinition_m2_relset_1,reflexivity_r1_tarski],[6,61]).
proved(t74_partfun1, partfun1, [t53_partfun1,t73_partfun1,t9_funct_1],[cc1_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[2,56]).
proved(t80_partfun1, partfun1, [t78_partfun1,t79_partfun1],[],[1,16]).
proved(t84_partfun1, partfun1, [t1_xboole_1,t82_partfun1,t83_partfun1],[],[3,17]).
proved(t86_partfun1, partfun1, [t85_partfun1],[reflexivity_r1_tarski],[1,7]).
proved(t3_partfun2, partfun2, [d4_finseq_4,t4_subset,t9_funct_1],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,52]).
proved(t52_partfun2, partfun2, [d4_partfun1,t11_relset_1,t17_xboole_1,t19_funcop_1,t2_boole,t6_boole,t71_relat_1],[dt_k6_relat_1,fc1_funcop_1,fc1_partfun2,fc2_funcop_1,fc2_funct_1,fc5_relat_1,fc6_funct_1,fc8_relat_1,fc9_funcop_1,redefinition_k4_partfun2,redefinition_k4_relset_1,redefinition_m2_relset_1],[7,70]).
proved(t67_partfun2, partfun2, [t37_zfmisc_1,t65_partfun2],[reflexivity_r1_tarski],[1,14]).
proved(t3_partit_2, partit_2, [d1_eqrel_1,t3_subset],[dt_k1_eqrel_1,dt_m2_relset_1,redefinition_m2_relset_1,redefinition_r1_partit_2],[2,17]).
proved(t8_partit_2, partit_2, [d1_relat_2,d3_tarski,t30_relat_1],[antisymmetry_r2_hidden],[4,14]).
proved(t9_partit_2, partit_2, [t98_orders_1],[],[1,6]).
proved(t34_pasch, pasch, [d3_diraf,d5_analoaf,d5_diraf,t12_diraf,t21_pasch,t27_diraf,t36_diraf,t37_diraf,t38_diraf,t39_diraf],[dt_l1_analoaf,existence_m1_subset_1],[9,231]).
proved(t110_pboole, pboole, [t108_pboole,t109_pboole],[symmetry_r4_pboole],[3,23]).
proved(t122_pboole, pboole, [d11_pboole,d7_xboole_0,t6_pboole],[idempotence_k3_xboole_0],[3,20]).
proved(t132_pboole, pboole, [d14_pboole],[dt_k1_pboole],[4,22]).
proved(t134_pboole, pboole, [d6_pboole,t6_boole,t6_pboole,t7_boole],[fc2_funcop_1],[3,18]).
proved(t138_pboole, pboole, [d11_pboole,d2_funcop_1,d3_tarski,d6_pboole,d7_xboole_0,t11_pboole,t135_pboole,t136_pboole,t1_subset,t3_subset,t3_xboole_0,t4_subset,t5_pboole,t5_subset,t6_boole,t6_pboole,t7_boole,t8_boole],[antisymmetry_r2_hidden,cc1_relset_1,cc3_arytm_3,dt_k1_pboole,dt_k5_numbers,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,fc2_funcop_1,idempotence_k3_xboole_0,rc2_subset_1,redefinition_k5_numbers,redefinition_r3_pboole,symmetry_r1_xboole_0,symmetry_r4_pboole],[10,150]).
proved(t140_pboole, pboole, [t138_pboole],[dt_k1_pboole],[1,6]).
proved(t142_pboole, pboole, [d15_pboole,d2_funcop_1,d3_tarski,d5_pboole,d6_pboole,d9_pboole,t1_subset,t2_subset,t3_subset,t4_subset,t5_pboole,t5_subset,t6_boole,t6_pboole,t7_boole],[antisymmetry_r2_hidden,cc1_relset_1,dt_k1_pboole,dt_k5_numbers,existence_m1_subset_1,fc1_ordinal2,fc1_subset_1,fc2_finseq_1,fc2_funcop_1,rc1_subset_1,rc2_subset_1,redefinition_k5_numbers],[10,132]).
proved(t145_pboole, pboole, [t143_pboole,t144_pboole],[dt_m1_pboole],[2,17]).
proved(t146_pboole, pboole, [d10_pboole,d14_pboole,t11_pboole,t145_pboole,t7_boole],[cc2_pboole,rc2_pboole,rc3_pboole],[3,33]).
proved(t149_pboole, pboole, [d9_relat_1],[dt_m1_pboole],[1,8]).
proved(t151_pboole, pboole, [d3_pboole,t12_funct_1,t1_subset],[dt_m1_pboole],[2,17]).
proved(t1_pboole, pboole, [],[fc6_funct_1],[1,7]).
proved(t49_pboole, pboole, [d5_pboole,t3_subset,t5_pboole,t6_boole],[dt_k1_pboole,rc2_subset_1],[2,16]).
proved(t50_pboole, pboole, [d13_pboole,t49_pboole],[dt_k1_pboole],[1,8]).
proved(t53_pboole, pboole, [t24_pboole,t49_pboole],[commutativity_k2_pboole,dt_k1_pboole],[2,12]).
proved(t54_pboole, pboole, [t28_pboole,t50_pboole],[dt_k1_pboole,dt_k2_pboole,symmetry_r6_pboole],[2,22]).
proved(t55_pboole, pboole, [t25_pboole,t49_pboole],[commutativity_k3_pboole,dt_k1_pboole],[2,12]).
proved(t57_pboole, pboole, [t52_pboole],[idempotence_k3_pboole],[2,12]).
proved(t64_pboole, pboole, [t58_pboole],[reflexivity_r2_pboole],[1,8]).
proved(t66_pboole, pboole, [t49_pboole,t58_pboole],[dt_k1_pboole],[1,8]).
proved(t84_pboole, pboole, [t69_pboole,t77_pboole],[dt_k4_pboole],[2,11]).
proved(t89_pboole, pboole, [d12_pboole,t16_pboole],[dt_k4_pboole],[2,10]).
proved(t92_pboole, pboole, [d12_pboole,t64_pboole],[dt_k1_pboole,dt_k4_pboole,dt_k5_pboole,idempotence_k2_pboole,redefinition_r6_pboole],[3,26]).
proved(t17_petri, petri, [d10_petri,d1_petri,d2_petri,d5_petri,d6_petri,d7_petri,d8_petri,t15_petri,t16_petri,t1_petri,t3_petri],[dt_k10_petri,dt_k11_petri,existence_m1_subset_1],[3,81]).
proved(t18_petri, petri, [d10_petri,d1_petri,d2_petri,d5_petri,d6_petri,d7_petri,d8_petri,t15_petri,t16_petri],[dt_k10_petri,dt_k11_petri,existence_m1_subset_1],[3,75]).
proved(t2_pralg_2, pralg_2, [d10_xboole_0,d1_fraenkel,d1_pralg_2,d2_pralg_2,t1_subset,t1_zfmisc_1,t2_xboole_1,t3_subset,t5_subset,t6_boole],[fc12_relat_1,fc4_relat_1,fc7_relat_1,rc2_subset_1,rc3_relat_1],[6,48]).
proved(t15_pre_topc, pre_topc, [d3_pre_topc,t28_xboole_1,t3_subset],[dt_k2_pre_topc,redefinition_k5_subset_1],[2,20]).
proved(t17_pre_topc, pre_topc, [d3_pre_topc,d4_subset_1,d5_subset_1],[dt_k2_subset_1,redefinition_k6_subset_1],[1,18]).
proved(t18_pre_topc, pre_topc, [d3_pre_topc,d5_subset_1,t1_boole,t25_subset_1,t3_boole,t3_subset,t6_boole],[commutativity_k2_xboole_0,rc2_subset_1,redefinition_k4_subset_1,reflexivity_r1_tarski],[2,35]).
proved(t24_pre_topc, pre_topc, [d3_pre_topc,d4_subset_1,t17_pre_topc,t25_subset_1],[],[1,17]).
proved(t27_pre_topc, pre_topc, [d2_pre_topc,d4_subset_1,t12_pre_topc,t17_pre_topc,t1_boole,t25_pre_topc,t4_boole,t83_xboole_1],[commutativity_k2_xboole_0,dt_k1_pre_topc,dt_k2_subset_1,redefinition_k4_subset_1],[1,30]).
proved(t39_pre_topc, pre_topc, [d3_pre_topc,d3_tarski,d9_pre_topc,t3_subset],[antisymmetry_r2_hidden,dt_l1_pre_topc,dt_m1_pre_topc,existence_m1_subset_1],[7,31]).
proved(t41_pre_topc, pre_topc, [d10_xboole_0,d2_pre_topc,d3_tarski,t2_xboole_1,t4_subset],[antisymmetry_r2_hidden,dt_l1_pre_topc],[2,19]).
proved(t5_pre_topc, pre_topc, [d10_xboole_0,d1_pre_topc,d1_xboole_0,d3_tarski,t1_xboole_1,t2_xboole_1,t3_subset,t6_boole],[dt_k5_setfam_1,dt_l1_pre_topc,existence_m1_subset_1,fc6_membered,rc1_subset_1,rc2_subset_1,redefinition_k5_setfam_1],[6,45]).
proved(t11_procal_1, procal_1, [d3_qc_lang2,t3_lukasi_1,t5_procal_1,t78_cqc_the1],[dt_k10_cqc_lang,dt_k11_cqc_lang,dt_k12_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_k10_cqc_lang,redefinition_k11_cqc_lang,redefinition_k13_cqc_lang,redefinition_m2_subset_1],[10,53]).
proved(t12_procal_1, procal_1, [t3_procal_1],[],[1,6]).
proved(t1_procal_1, procal_1, [d2_qc_lang2,t25_lukasi_1,t38_lukasi_1],[dt_k10_cqc_lang,dt_k11_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,dt_m2_subset_1,fc2_cqc_lang,redefinition_k10_cqc_lang,redefinition_k11_cqc_lang,redefinition_k12_cqc_lang,redefinition_m2_subset_1],[7,46]).
proved(t20_procal_1, procal_1, [t19_procal_1,t3_lukasi_1,t3_procal_1],[dt_k11_cqc_lang,dt_k13_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,25]).
proved(t42_procal_1, procal_1, [t3_procal_1,t82_cqc_the1],[dt_k13_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,22]).
proved(t43_procal_1, procal_1, [t4_procal_1,t82_cqc_the1],[dt_k13_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,22]).
proved(t44_procal_1, procal_1, [t19_procal_1,t82_cqc_the1],[dt_k11_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,22]).
proved(t45_procal_1, procal_1, [t21_procal_1,t82_cqc_the1],[dt_k11_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[3,22]).
proved(t46_procal_1, procal_1, [t19_procal_1,t3_procal_1,t82_cqc_the1],[dt_k11_cqc_lang,dt_k13_cqc_lang,dt_k7_cqc_lang,dt_k8_qc_lang1,fc2_cqc_lang,redefinition_m2_subset_1],[4,31]).
proved(t16_projdes1, projdes1, [d14_anproj_2,d1_projdes1,t37_anproj_2],[existence_m1_subset_1],[3,34]).
proved(t18_projdes1, projdes1, [d7_anproj_2,t10_projdes1],[dt_l1_collsp,existence_m1_subset_1],[5,85]).
proved(t5_projdes1, projdes1, [d7_collsp,t19_collsp],[existence_m1_subset_1,existence_m2_collsp],[3,28]).
proved(t12_projpl_1, projpl_1, [d10_incproj,d11_incproj,d12_incproj,d1_projred1,d4_projpl_1,d9_incproj,t11_projpl_1],[existence_m1_subset_1],[5,267]).
proved(t18_projpl_1, projpl_1, [d6_projpl_1],[],[2,13]).
proved(t36_projpl_1, projpl_1, [t16_projpl_1,t23_projpl_1,t35_projpl_1],[existence_m1_subset_1],[5,43]).
proved(t7_projpl_1, projpl_1, [d9_incproj,t22_projred2,t5_projred1],[existence_m1_subset_1],[2,21]).
proved(t7_projred1, projred1, [d12_incproj],[existence_m1_subset_1],[1,13]).
proved(t8_projred1, projred1, [d12_incproj,d18_incproj,d19_incproj,d20_incproj],[existence_m1_subset_1],[2,139]).
proved(t12_pzfmisc1, pzfmisc1, [t11_pzfmisc1],[dt_k1_pzfmisc1,dt_k2_pzfmisc1,idempotence_k2_pboole,symmetry_r6_pboole],[2,18]).
proved(t15_pzfmisc1, pzfmisc1, [d13_pboole,t14_pzfmisc1],[dt_k1_pzfmisc1],[2,13]).
proved(t16_pzfmisc1, pzfmisc1, [t6_pzfmisc1,t8_pzfmisc1],[dt_k1_pzfmisc1,redefinition_r6_pboole,reflexivity_r6_pboole,symmetry_r6_pboole],[4,46]).
proved(t28_pzfmisc1, pzfmisc1, [d1_mboolean,d1_pzfmisc1,d5_pboole,t24_zfmisc_1,t3_pboole],[dt_k1_pzfmisc1,reflexivity_r6_pboole],[5,43]).
proved(t3_pzfmisc1, pzfmisc1, [d15_pboole,d16_pboole,d4_pboole],[antisymmetry_r3_pboole,dt_k2_pre_circ,redefinition_r3_pboole],[1,25]).
proved(t51_pzfmisc1, pzfmisc1, [t12_pboole],[dt_k1_pzfmisc1],[2,11]).
proved(t81_pzfmisc1, pzfmisc1, [t66_pzfmisc1],[],[1,8]).
proved(t82_pzfmisc1, pzfmisc1, [t74_pzfmisc1],[],[1,8]).
proved(t9_pzfmisc1, pzfmisc1, [t4_pzfmisc1],[dt_k1_pboole,dt_k1_pzfmisc1,reflexivity_r6_pboole],[3,13]).
proved(t3_quantal1, quantal1, [d1_quantal1,t6_boole,t7_boole],[cc1_finset_1,existence_m1_subset_1,fc1_xboole_0,rc1_finset_1,rc1_partfun1,rc2_finset_1],[2,51]).
proved(t2_rcomp_2, rcomp_2, [d2_square_1,t6_wsierp_1],[cc2_xreal_0],[2,29]).
proved(t7_rcomp_2, rcomp_2, [d10_xboole_0,d1_rcomp_2,d3_tarski,t6_boole,t7_boole],[antisymmetry_r2_hidden,fraenkel_a_2_0_rcomp_2,spc0_boole],[3,26]).
proved(t8_rcomp_2, rcomp_2, [d10_xboole_0,d1_rcomp_2,d2_rcomp_2,d3_tarski,t7_rcomp_2],[antisymmetry_r2_hidden,fraenkel_a_2_0_rcomp_2,fraenkel_a_2_1_rcomp_2],[3,36]).
proved(t26_real_lat, real_lat, [t21_real_lat,t25_real_lat],[],[2,14]).
proved(t27_real_lat, real_lat, [t21_real_lat,t24_real_lat],[],[2,15]).
proved(t29_real_lat, real_lat, [t20_real_lat,t28_real_lat],[],[2,15]).
proved(t31_real_lat, real_lat, [t20_real_lat,t30_real_lat],[],[2,14]).
proved(t22_realset2, realset2, [t14_realset2],[],[1,8]).
proved(t18_realset3, realset3, [d1_realset3,t3_realset3],[cc1_relset_1,dt_k1_realset3,dt_l3_vectsp_1,dt_m2_relset_1,existence_m1_subset_1],[2,28]).
proved(t1_realset3, realset3, [t12_realset2,t6_realset2],[dt_k4_realset2],[1,15]).
proved(t2_realset3, realset3, [t10_realset2,t26_realset2],[dt_k6_realset2],[1,15]).
proved(t101_relat_1, relat_1, [t100_relat_1],[idempotence_k3_xboole_0],[1,8]).
proved(t102_relat_1, relat_1, [t100_relat_1,t28_xboole_1],[commutativity_k3_xboole_0],[1,12]).
proved(t103_relat_1, relat_1, [t100_relat_1,t28_xboole_1],[commutativity_k3_xboole_0],[1,12]).
proved(t104_relat_1, relat_1, [t100_relat_1,t28_xboole_1,t88_relat_1],[commutativity_k3_xboole_0,dt_k7_relat_1],[3,16]).
proved(t110_relat_1, relat_1, [t2_boole,t6_boole,t90_relat_1],[dt_k7_relat_1,fc4_relat_1,fc5_relat_1],[3,16]).
proved(t111_relat_1, relat_1, [d7_xboole_0,t2_boole,t6_boole,t95_relat_1],[commutativity_k3_xboole_0,fc4_relat_1,fc7_relat_1],[3,18]).
proved(t118_relat_1, relat_1, [t117_relat_1,t25_relat_1],[dt_k8_relat_1],[1,9]).
proved(t121_relat_1, relat_1, [t117_relat_1,t49_relat_1],[dt_k8_relat_1],[1,11]).
proved(t122_relat_1, relat_1, [t117_relat_1,t48_relat_1],[dt_k8_relat_1],[1,11]).
proved(t125_relat_1, relat_1, [d10_xboole_0,d12_relat_1,d3_tarski,t106_zfmisc_1,t117_relat_1,t118_relat_1,t119_relat_1,t19_xboole_1,t21_relat_1,t2_boole,t2_subset,t3_subset,t4_subset,t6_boole],[antisymmetry_r2_hidden,commutativity_k3_xboole_0,dt_k8_relat_1,fc4_relat_1,fc6_relat_1,rc2_subset_1,reflexivity_r1_tarski],[6,93]).
proved(t126_relat_1, relat_1, [t125_relat_1],[reflexivity_r1_tarski],[1,6]).
proved(t128_relat_1, relat_1, [t116_relat_1,t125_relat_1],[dt_k8_relat_1],[1,9]).
proved(t129_relat_1, relat_1, [t116_relat_1,t125_relat_1,t1_xboole_1],[dt_k8_relat_1],[2,14]).
proved(t130_relat_1, relat_1, [t127_relat_1,t129_relat_1],[commutativity_k3_xboole_0],[2,13]).
proved(t131_relat_1, relat_1, [t117_relat_1,t130_relat_1],[dt_k8_relat_1],[3,12]).
proved(t137_relat_1, relat_1, [t119_relat_1,t2_boole,t6_boole],[dt_k8_relat_1,fc4_relat_1,fc6_relat_1],[3,16]).
proved(t138_relat_1, relat_1, [t127_relat_1,t137_relat_1,t2_boole],[rc2_relat_1],[2,9]).
proved(t147_relat_1, relat_1, [t144_relat_1,t146_relat_1],[],[1,8]).
proved(t149_relat_1, relat_1, [t110_relat_1,t148_relat_1,t60_relat_1],[],[2,10]).
proved(t150_relat_1, relat_1, [d13_relat_1,d2_subset_1,t113_zfmisc_1,t2_subset,t5_subset,t6_boole],[antisymmetry_r2_hidden,existence_m1_subset_1,fc4_relat_1,fc4_subset_1,rc2_subset_1],[6,38]).
proved(t152_relat_1, relat_1, [d7_xboole_0,t151_relat_1,t28_xboole_1],[symmetry_r1_xboole_0],[3,14]).
proved(t153_relat_1, relat_1, [t107_relat_1,t148_relat_1,t26_relat_1],[dt_k7_relat_1],[1,14]).
proved(t161_relat_1, relat_1, [t157_relat_1,t88_relat_1],[dt_k7_relat_1],[1,9]).
proved(t170_relat_1, relat_1, [t167_relat_1,t169_relat_1],[],[1,8]).
proved(t171_relat_1, relat_1, [d14_relat_1,t5_subset,t6_boole],[antisymmetry_r2_hidden,rc2_subset_1],[3,17]).
proved(t172_relat_1, relat_1, [d14_relat_1,d2_subset_1,t113_zfmisc_1,t2_subset,t5_subset,t6_boole],[antisymmetry_r2_hidden,existence_m1_subset_1,fc4_relat_1,fc4_subset_1,rc2_subset_1],[6,38]).
proved(t174_relat_1, relat_1, [d7_xboole_0,t173_relat_1,t28_xboole_1],[symmetry_r1_xboole_0],[3,14]).
proved(t180_relat_1, relat_1, [t178_relat_1,t179_relat_1,t1_xboole_1],[],[2,15]).
proved(t185_relat_1, relat_1, [t107_relat_1,t96_relat_1],[commutativity_k2_xboole_0],[1,23]).
proved(t187_relat_1, relat_1, [t95_relat_1],[symmetry_r1_xboole_0],[1,8]).
proved(t188_relat_1, relat_1, [t100_relat_1,t28_xboole_1],[commutativity_k3_xboole_0],[2,16]).
proved(t189_relat_1, relat_1, [t100_relat_1,t90_relat_1,t98_relat_1],[commutativity_k3_xboole_0],[3,17]).
proved(t18_relat_1, relat_1, [d1_relat_1,d1_setfam_1,d1_xboole_0,d3_relat_1,d3_tarski,d4_relat_1,d5_relat_1,t3_subset,t6_boole,t7_boole],[fc1_xboole_0,fc3_xboole_0,idempotence_k2_xboole_0,rc1_relat_1,rc2_subset_1],[5,51]).
proved(t190_relat_1, relat_1, [t94_relat_1,t96_relat_1],[fc13_relat_1],[1,15]).
proved(t19_relat_1, relat_1, [d1_relat_1,d1_setfam_1,d1_xboole_0,d3_relat_1,d3_tarski,d4_relat_1,d5_relat_1,t3_subset,t6_boole,t7_boole],[fc1_xboole_0,fc3_xboole_0,idempotence_k2_xboole_0,rc1_relat_1,rc2_subset_1],[5,51]).
proved(t20_relat_1, relat_1, [d4_relat_1,d5_relat_1],[antisymmetry_r2_hidden],[3,13]).
proved(t22_relat_1, relat_1, [d10_xboole_0,t17_xboole_1,t19_xboole_1,t21_relat_1],[reflexivity_r1_tarski],[2,12]).
proved(t29_relat_1, relat_1, [d2_xboole_0,d3_tarski,d6_relat_1],[antisymmetry_r2_hidden,commutativity_k2_xboole_0],[5,16]).
proved(t30_relat_1, relat_1, [d3_tarski,t20_relat_1,t29_relat_1],[antisymmetry_r2_hidden],[4,20]).
proved(t32_relat_1, relat_1, [d6_relat_1,t23_relat_1,t41_enumset1],[],[2,12]).
proved(t38_relat_1, relat_1, [d6_relat_1,t37_relat_1],[commutativity_k2_xboole_0,dt_k4_relat_1],[3,17]).
proved(t4_relat_1, relat_1, [d1_relat_1,t128_zfmisc_1,t129_zfmisc_1],[],[4,11]).
proved(t56_relat_1, relat_1, [d5_relat_1,t6_boole,t7_boole],[fc6_relat_1,rc2_subset_1],[4,19]).
proved(t60_relat_1, relat_1, [d1_xboole_0,d4_relat_1,d6_relat_1,t1_boole,t2_subset,t37_relat_1,t5_subset,t6_boole],[commutativity_k2_xboole_0,dt_k4_relat_1,existence_m1_subset_1,fc2_xboole_0,fc3_xboole_0,fc4_relat_1,fc6_relat_1,involutiveness_k4_relat_1,rc2_subset_1],[9,61]).
proved(t64_relat_1, relat_1, [d7_relat_1,t37_relat_1,t6_boole],[fc4_relat_1,fc5_relat_1,fc6_relat_1],[3,32]).
proved(t65_relat_1, relat_1, [t60_relat_1,t64_relat_1],[],[1,21]).
proved(t66_relat_1, relat_1, [t2_xboole_1,t37_relat_1,t3_xboole_1,t6_boole],[cc1_relat_1,dt_k4_relat_1,fc5_relat_1,fc8_relat_1,rc2_subset_1],[4,20]).
proved(t78_relat_1, relat_1, [t77_relat_1],[reflexivity_r1_tarski],[1,6]).
proved(t80_relat_1, relat_1, [t79_relat_1],[reflexivity_r1_tarski],[1,6]).
proved(t81_relat_1, relat_1, [d10_relat_1,d2_subset_1,d4_subset_1,t113_zfmisc_1,t2_subset,t5_subset,t6_boole],[antisymmetry_r2_hidden,existence_m1_subset_1,fc4_relat_1,fc4_subset_1,rc2_subset_1],[6,38]).
proved(t89_relat_1, relat_1, [t25_relat_1,t88_relat_1],[dt_k7_relat_1],[1,9]).
proved(t92_relat_1, relat_1, [t49_relat_1,t88_relat_1],[dt_k7_relat_1],[1,11]).
proved(t93_relat_1, relat_1, [t48_relat_1,t88_relat_1],[dt_k7_relat_1],[1,11]).
proved(t98_relat_1, relat_1, [t22_relat_1,t96_relat_1],[],[1,7]).
proved(t99_relat_1, relat_1, [t25_relat_1,t88_relat_1],[dt_k7_relat_1],[1,9]).
proved(t34_relat_2, relat_2, [t30_relat_2],[],[1,8]).
proved(t13_relset_1, relset_1, [t11_relset_1,t12_relset_1],[cc1_relset_1,dt_m2_relset_1],[2,13]).
proved(t14_relset_1, relset_1, [t11_relset_1,t12_relset_1],[cc1_relset_1,dt_m2_relset_1],[2,13]).
proved(t15_relset_1, relset_1, [t12_relset_1,t13_relset_1,t1_xboole_1],[],[2,12]).
proved(t16_relset_1, relset_1, [t12_relset_1,t14_relset_1,t1_xboole_1],[],[2,12]).
proved(t17_relset_1, relset_1, [t15_relset_1,t16_relset_1],[],[2,11]).
proved(t25_relset_1, relset_1, [d1_relset_1,t2_xboole_1],[redefinition_m2_relset_1],[1,7]).
proved(t27_relset_1, relset_1, [t12_relset_1,t3_xboole_1,t64_relat_1],[cc1_relset_1,dt_m2_relset_1],[2,15]).
proved(t29_relset_1, relset_1, [d1_relset_1,t21_relat_1,t52_funct_1,t71_relat_1],[dt_k6_relat_1,redefinition_m2_relset_1],[2,14]).
proved(t32_relset_1, relset_1, [d10_xboole_0,t12_relset_1,t30_relset_1],[redefinition_k5_relset_1,redefinition_m2_relset_1],[3,24]).
proved(t45_relset_1, relset_1, [t123_relat_1,t3_subset,t77_relat_1,t79_relat_1,t94_relat_1],[cc1_relset_1,dt_k4_relset_1,dt_k5_relset_1,dt_m2_relset_1,redefinition_k4_relset_1,redefinition_k5_relset_1,redefinition_m2_relset_1],[4,33]).
proved(t46_relset_1, relset_1, [d5_xboole_0,t71_relat_1,t81_relat_1],[],[1,10]).
proved(t49_relset_1, relset_1, [t20_relat_1,t47_relset_1,t4_subset],[cc1_relset_1,dt_k5_relset_1,dt_m2_relset_1,existence_m1_subset_1,redefinition_k5_relset_1,redefinition_m2_relset_1],[3,28]).
proved(t50_relset_1, relset_1, [t20_relat_1,t48_relset_1,t4_subset],[cc1_relset_1,dt_k4_relset_1,dt_m2_relset_1,existence_m1_subset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,28]).
proved(t26_relset_2, relset_2, [t1_boole,t23_relset_2],[commutativity_k2_xboole_0,redefinition_k4_subset_1,redefinition_k6_relset_2],[2,24]).
proved(t2_relset_2, relset_2, [d6_eqrel_1,t2_zfmisc_1,t8_boole],[dt_k3_pua2mss1,dt_m1_eqrel_1,existence_m1_subset_1,fc12_relat_1,fc4_relat_1,redefinition_k5_setfam_1],[3,33]).
proved(t30_relset_2, relset_2, [d10_setfam_1,d10_xboole_0,t2_zfmisc_1,t3_subset,t6_boole,t7_boole,t92_zfmisc_1,t94_zfmisc_1],[rc2_subset_1,redefinition_k5_setfam_1,redefinition_k6_setfam_1],[6,59]).
proved(t56_relset_2, relset_2, [t51_relset_2],[],[1,10]).
proved(t22_ringcat1, ringcat1, [d17_ringcat1,t21_ringcat1,t7_boole],[],[3,15]).
proved(t18_rmod_2, rmod_2, [d2_rmod_2,t2_subset,t3_subset,t4_subset,t7_vectsp_1],[dt_l1_rlvect_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_rmod_2,existence_m1_subset_1,fc1_struct_0],[5,78]).
proved(t19_rmod_2, rmod_2, [d2_rlvect_1,d2_rmod_2,t10_rlvect_1,t7_vectsp_1],[dt_l1_rlvect_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_rmod_2,dt_u2_struct_0,existence_m1_subset_1],[5,83]).
proved(t20_rmod_2, rmod_2, [d2_rlvect_1,t10_rlvect_1,t19_rmod_2,t7_vectsp_1],[dt_l1_rlvect_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_u2_struct_0,existence_m1_subset_1],[5,61]).
proved(t25_rmod_2, rmod_2, [d2_rlvect_1,t19_rmod_2,t3_rlvect_1,t7_vectsp_1],[dt_l1_group_1,dt_l1_rlvect_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_rmod_2,dt_u2_struct_0,existence_m1_subset_1],[4,77]).
proved(t26_rmod_2, rmod_2, [d2_rlvect_1,t10_rlvect_1,t19_rmod_2,t25_rmod_2,t7_vectsp_1],[dt_l1_group_1,dt_l1_rlvect_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_u2_struct_0,existence_m1_subset_1],[5,63]).
proved(t27_rmod_2, rmod_2, [d2_rlvect_1,t10_rlvect_1,t19_rmod_2,t3_rlvect_1,t7_vectsp_1],[dt_l1_group_1,dt_l1_rlvect_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_u2_struct_0,existence_m1_subset_1],[5,63]).
proved(t48_rmod_2, rmod_2, [t47_rmod_2,t7_vectsp_1],[dt_l1_group_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[1,40]).
proved(t49_rmod_2, rmod_2, [t47_rmod_2],[dt_k1_rmod_2,dt_l1_group_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1],[1,35]).
proved(t50_rmod_2, rmod_2, [t47_rmod_2],[dt_k1_rmod_2,dt_l1_group_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_rmod_2],[2,64]).
proved(t51_rmod_2, rmod_2, [t47_rmod_2],[dt_k1_rmod_2,dt_l1_group_1,dt_l1_vectsp_1,dt_l1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_m1_rmod_2],[2,70]).
proved(t10_robbins1, robbins1, [d8_robbins1,t3_robbins1,t5_robbins1,t9_robbins1],[existence_m1_subset_1],[3,33]).
proved(t11_robbins1, robbins1, [t3_robbins1],[],[1,16]).
proved(t14_robbins1, robbins1, [t12_robbins1,t5_robbins1,t9_robbins1],[cc2_robbins1,existence_m1_subset_1],[1,18]).
proved(t15_robbins1, robbins1, [t10_robbins1,t14_robbins1,t1_robbins1,t5_robbins1,t7_robbins1,t9_robbins1],[cc1_robbins1,cc2_robbins1,commutativity_k5_robbins1,commutativity_k6_robbins1,dt_k6_lattices,dt_k6_robbins1,dt_k7_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1,redefinition_k6_robbins1],[7,84]).
proved(t16_robbins1, robbins1, [d4_robbins1,t10_robbins1,t2_robbins1,t3_robbins1,t5_robbins1,t9_robbins1],[cc1_robbins1,cc2_robbins1,dt_k3_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1,redefinition_k6_robbins1],[4,69]).
proved(t19_robbins1, robbins1, [d4_robbins1,d6_robbins1,d7_robbins1,t10_robbins1,t16_robbins1,t2_robbins1,t3_robbins1,t5_robbins1,t7_robbins1,t9_robbins1],[cc1_robbins1,cc2_robbins1,commutativity_k5_robbins1,dt_k3_robbins1,dt_k4_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1,redefinition_k6_robbins1],[5,108]).
proved(t1_robbins1, robbins1, [d4_lattices,d4_robbins1,d6_robbins1],[dt_k3_robbins1,dt_k4_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1],[5,40]).
proved(t20_robbins1, robbins1, [t10_robbins1,t3_robbins1,t5_robbins1,t7_robbins1,t9_robbins1],[cc2_robbins1,commutativity_k5_robbins1,dt_k6_lattices,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1],[3,59]).
proved(t23_robbins1, robbins1, [d4_robbins1,d6_robbins1,t10_robbins1,t5_robbins1,t7_robbins1,t8_robbins1,t9_robbins1],[cc1_robbins1,cc2_robbins1,dt_k3_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k5_robbins1],[4,67]).
proved(t38_robbins1, robbins1, [d15_robbins1,t37_robbins1],[redefinition_k5_robbins1],[2,17]).
proved(t42_robbins1, robbins1, [d15_robbins1,d19_robbins1,t38_robbins1,t41_robbins1],[commutativity_k5_robbins1,dt_k11_robbins1,dt_k12_robbins1,dt_l2_robbins1,redefinition_k5_robbins1],[3,39]).
proved(t47_robbins1, robbins1, [d15_robbins1,t38_robbins1,t42_robbins1,t43_robbins1],[dt_k14_robbins1,dt_l2_robbins1,redefinition_k5_robbins1],[3,36]).
proved(t52_robbins1, robbins1, [d15_robbins1,t38_robbins1,t45_robbins1,t47_robbins1],[commutativity_k5_robbins1,dt_k11_robbins1,dt_k13_robbins1,dt_k14_robbins1,dt_k15_robbins1,dt_l2_robbins1,redefinition_k5_robbins1],[3,44]).
proved(t62_robbins1, robbins1, [t43_lattices,t61_robbins1],[cc1_lattices,cc4_lattices,cc7_lattices,dt_k3_robbins1,dt_k6_lattices,dt_l2_robbins1,dt_l3_robbins1],[3,56]).
proved(t9_robbins1, robbins1, [d9_robbins1,t5_robbins1,t7_robbins1],[cc1_robbins1,dt_l2_robbins1,existence_m1_subset_1,redefinition_k6_robbins1],[3,39]).
proved(t21_robbins2, robbins2, [d16_robbins1,t19_robbins2,t20_robbins2],[dt_k11_robbins1,dt_k3_robbins1,dt_l2_robbins1],[3,26]).
proved(t22_robbins2, robbins2, [t17_robbins2,t21_robbins2],[dt_l2_robbins1],[1,17]).
proved(t23_robbins2, robbins2, [t19_robbins2,t21_robbins2],[dt_k3_robbins1,dt_l2_robbins1],[3,24]).
proved(t29_robbins2, robbins2, [t14_robbins2,t28_robbins2],[cc1_robbins2,redefinition_k5_robbins1],[3,28]).
proved(t24_robbins3, robbins3, [t24_yellow_0,t25_yellow_0],[cc14_oposet_1,commutativity_k13_lattice3,dt_l1_oposet_1,redefinition_k12_lattice3,redefinition_k13_lattice3,redefinition_r3_orders_2],[2,45]).
proved(t29_robbins3, robbins3, [t28_robbins3],[cc15_robbins3,cc22_robbins3,cc26_robbins3,cc27_robbins3,dt_m3_robbins3],[1,32]).
proved(t100_semi_af1, semi_af1, [d1_semi_af1,d6_semi_af1],[dt_k2_semi_af1,dt_l1_analoaf,existence_m1_subset_1],[3,46]).
proved(t120_semi_af1, semi_af1, [d1_semi_af1,d8_semi_af1,t14_semi_af1,t17_semi_af1,t40_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[5,61]).
proved(t121_semi_af1, semi_af1, [d1_semi_af1,d8_semi_af1,t17_semi_af1,t37_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[2,68]).
proved(t124_semi_af1, semi_af1, [d1_semi_af1,d8_semi_af1,t123_semi_af1,t17_semi_af1,t37_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[2,72]).
proved(t12_semi_af1, semi_af1, [d1_semi_af1,d5_analoaf],[dt_l1_analoaf,existence_m1_subset_1],[4,54]).
proved(t130_semi_af1, semi_af1, [d1_semi_af1,d2_semi_af1,t40_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[4,72]).
proved(t16_semi_af1, semi_af1, [d1_afvect0,d1_semi_af1,d2_afvect01,t13_semi_af1,t14_semi_af1,t15_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,66]).
proved(t17_semi_af1, semi_af1, [d1_afvect0,d1_semi_af1,d2_afvect01,t13_semi_af1,t14_semi_af1,t15_semi_af1,t16_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,81]).
proved(t22_semi_af1, semi_af1, [d1_semi_af1,t14_semi_af1],[existence_m1_subset_1],[2,27]).
proved(t34_semi_af1, semi_af1, [d1_semi_af1,t12_semi_af1,t14_semi_af1],[existence_m1_subset_1],[4,56]).
proved(t35_semi_af1, semi_af1, [d1_semi_af1,t12_semi_af1,t14_semi_af1],[existence_m1_subset_1],[2,35]).
proved(t49_semi_af1, semi_af1, [d1_semi_af1,t17_semi_af1,t37_semi_af1,t42_semi_af1,t43_semi_af1,t45_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[6,87]).
proved(t50_semi_af1, semi_af1, [d1_semi_af1,t17_semi_af1,t37_semi_af1,t43_semi_af1,t49_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[4,93]).
proved(t52_semi_af1, semi_af1, [d1_semi_af1,t37_semi_af1,t45_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[5,64]).
proved(t55_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1,t17_semi_af1,t37_semi_af1,t43_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[4,91]).
proved(t56_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1,t17_semi_af1,t37_semi_af1,t43_semi_af1,t55_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[12,202]).
proved(t58_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1,t56_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[1,54]).
proved(t59_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1,t17_semi_af1,t55_semi_af1,t58_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,69]).
proved(t60_semi_af1, semi_af1, [d1_semi_af1,t58_semi_af1,t59_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,49]).
proved(t61_semi_af1, semi_af1, [d1_semi_af1,t58_semi_af1,t60_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,64]).
proved(t62_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,51]).
proved(t64_semi_af1, semi_af1, [d1_semi_af1,d2_semi_af1,d3_semi_af1,t17_semi_af1,t56_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[3,69]).
proved(t65_semi_af1, semi_af1, [d1_semi_af1,d3_semi_af1,t17_semi_af1,t58_semi_af1,t59_semi_af1,t60_semi_af1,t64_semi_af1],[dt_l1_analoaf,existence_m1_subset_1],[4,65]).
proved(t17_setfam_1, setfam_1, [d2_setfam_1,d3_tarski],[reflexivity_r1_tarski],[3,12]).
proved(t20_setfam_1, setfam_1, [d2_setfam_1,t6_boole,t7_boole],[rc2_subset_1,reflexivity_r1_tarski],[2,9]).
proved(t2_setfam_1, setfam_1, [d1_setfam_1,t7_boole],[antisymmetry_r2_hidden,fc1_xboole_0],[1,4]).
proved(t44_setfam_1, setfam_1, [d10_xboole_0,d3_tarski,t4_subset],[antisymmetry_r2_hidden],[2,20]).
proved(t46_setfam_1, setfam_1, [d8_setfam_1,t10_subset_1,t1_subset,t2_subset,t5_subset,t6_boole],[dt_k3_subset_1,dt_k7_setfam_1,existence_m1_subset_1,involutiveness_k3_subset_1,rc2_subset_1],[4,34]).
proved(t53_setfam_1, setfam_1, [],[involutiveness_k7_setfam_1],[1,9]).
proved(t56_setfam_1, setfam_1, [d3_tarski,t92_zfmisc_1,t9_tarski],[antisymmetry_r2_hidden],[4,14]).
proved(t5_setfam_1, setfam_1, [d1_setfam_1,d1_xboole_0,t7_boole],[fc1_xboole_0],[3,18]).
proved(t9_setfam_1, setfam_1, [d1_setfam_1,d1_tarski,d1_xboole_0,d3_tarski,d7_xboole_0,t3_boole,t3_subset,t3_xboole_0,t3_xboole_1,t4_setfam_1,t4_xboole_0,t54_zfmisc_1,t56_zfmisc_1,t5_setfam_1,t6_boole,t7_boole,t8_setfam_1],[antisymmetry_r2_hidden,fc1_xboole_0,fc2_subset_1,idempotence_k3_xboole_0,rc2_subset_1,symmetry_r1_xboole_0],[8,104]).
proved(t16_setwiseo, setwiseo, [d5_finsub_1,t13_finset_1,t1_subset,t1_xboole_1,t2_subset],[cc3_finsub_1,dt_k5_finsub_1,fc2_finsub_1,reflexivity_r1_tarski],[3,32]).
proved(t18_setwiseo, setwiseo, [d1_tarski,d1_xboole_0,d2_subset_1,d5_finsub_1,t2_subset,t3_subset,t3_xboole_0,t4_subset,t6_boole],[dt_k5_finsub_1,fc2_finsub_1,idempotence_k3_xboole_0,reflexivity_r1_tarski,symmetry_r1_xboole_0],[4,38]).
proved(t22_setwiseo, setwiseo, [d1_funct_2,d2_setwiseo,d8_binop_1,t2_subset,t4_subset,t63_funcop_1,t6_boole],[cc1_relset_1,dt_k3_binop_1,dt_m2_relset_1,existence_m1_subset_1,fc1_finsub_1,fc1_xboole_0,rc2_finset_1,rc3_finset_1,redefinition_m2_relset_1],[6,145]).
proved(t32_setwiseo, setwiseo, [d10_xboole_0,t1_boole,t1_xboole_1,t30_setwiseo,t37_xboole_1,t39_xboole_1,t3_boole,t6_boole],[cc1_relset_1,commutativity_k2_xboole_0,dt_m2_relset_1,fc1_xboole_0,redefinition_k5_setwiseo],[3,51]).
proved(t3_setwiseo, setwiseo, [t37_zfmisc_1,t42_enumset1,t7_xboole_1],[],[2,9]).
proved(t4_setwiseo, setwiseo, [t38_zfmisc_1,t3_setwiseo,t42_enumset1,t43_enumset1,t69_enumset1],[commutativity_k2_tarski,commutativity_k2_xboole_0],[3,18]).
proved(t54_setwiseo, setwiseo, [t22_setwiseo,t53_setwiseo],[dt_k9_setwiseo,fc2_finsub_1],[1,9]).
proved(t69_setwiseo, setwiseo, [t68_setwiseo,t6_boole],[fc1_xboole_0],[1,16]).
proved(t31_sheffer1, sheffer1, [d13_sheffer1,d16_sheffer1],[dt_k6_sheffer1,dt_l3_sheffer1,existence_m1_subset_1],[2,20]).
proved(t4_sheffer1, sheffer1, [d6_sheffer1,d8_sheffer1],[dt_k3_sheffer1,dt_l3_lattices,redefinition_k4_lattices],[4,35]).
proved(t100_sheffer2, sheffer2, [d13_sheffer1,t99_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[1,18]).
proved(t101_sheffer2, sheffer2, [t70_sheffer2,t83_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[3,28]).
proved(t102_sheffer2, sheffer2, [d13_sheffer1,t81_sheffer2,t83_sheffer2,t91_sheffer2],[existence_m1_subset_1],[2,26]).
proved(t103_sheffer2, sheffer2, [t70_sheffer2,t76_sheffer2,t81_sheffer2,t92_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[5,41]).
proved(t104_sheffer2, sheffer2, [t103_sheffer2,t71_sheffer2,t81_sheffer2],[],[2,23]).
proved(t105_sheffer2, sheffer2, [t81_sheffer2,t83_sheffer2,t92_sheffer2],[],[2,25]).
proved(t106_sheffer2, sheffer2, [d13_sheffer1,t81_sheffer2,t96_sheffer2],[existence_m1_subset_1],[2,19]).
proved(t107_sheffer2, sheffer2, [t81_sheffer2,t83_sheffer2,t92_sheffer2],[],[2,23]).
proved(t108_sheffer2, sheffer2, [t81_sheffer2,t92_sheffer2,t97_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[4,33]).
proved(t109_sheffer2, sheffer2, [t81_sheffer2,t83_sheffer2,t97_sheffer2],[],[2,23]).
proved(t119_sheffer2, sheffer2, [d13_sheffer1,t70_sheffer2,t76_sheffer2,t83_sheffer2,t99_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[3,31]).
proved(t120_sheffer2, sheffer2, [d13_sheffer1,t118_sheffer2,t70_sheffer2,t71_sheffer2,t76_sheffer2,t83_sheffer2,t92_sheffer2,t99_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[3,49]).
proved(t125_sheffer2, sheffer2, [d13_sheffer1,t119_sheffer2,t121_sheffer2,t92_sheffer2,t97_sheffer2,t99_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[1,39]).
proved(t127_sheffer2, sheffer2, [t101_sheffer2,t104_sheffer2,t121_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[3,30]).
proved(t12_sheffer2, sheffer2, [d16_sheffer1,t11_sheffer2,t5_sheffer2,t6_sheffer2],[dt_k6_sheffer1,dt_l1_sheffer1],[3,30]).
proved(t131_sheffer2, sheffer2, [d13_sheffer1,t119_sheffer2,t121_sheffer2,t83_sheffer2,t85_sheffer2,t97_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,34]).
proved(t132_sheffer2, sheffer2, [t121_sheffer2,t83_sheffer2],[dt_l1_sheffer1],[1,17]).
proved(t133_sheffer2, sheffer2, [t121_sheffer2,t81_sheffer2,t83_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[3,32]).
proved(t134_sheffer2, sheffer2, [d14_sheffer1,t121_sheffer2,t83_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[2,22]).
proved(t13_sheffer2, sheffer2, [d16_sheffer1,t11_sheffer2],[dt_k5_sheffer1,dt_k6_sheffer1,dt_l1_sheffer1],[3,28]).
proved(t14_sheffer2, sheffer2, [t10_sheffer2,t13_sheffer2],[],[1,11]).
proved(t151_sheffer2, sheffer2, [d13_sheffer1,d14_sheffer1,t83_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[2,25]).
proved(t152_sheffer2, sheffer2, [t83_sheffer2],[dt_l1_sheffer1],[1,15]).
proved(t153_sheffer2, sheffer2, [t83_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[3,24]).
proved(t15_sheffer2, sheffer2, [d1_sheffer2,t14_sheffer2],[existence_m1_subset_1],[1,12]).
proved(t20_sheffer2, sheffer2, [t14_sheffer2,t19_sheffer2],[],[1,11]).
proved(t21_sheffer2, sheffer2, [d16_sheffer1,t11_sheffer2,t20_sheffer2],[dt_k5_sheffer1,dt_k6_sheffer1,dt_l1_sheffer1],[2,34]).
proved(t23_sheffer2, sheffer2, [t16_sheffer2,t20_sheffer2],[dt_l1_sheffer1],[2,19]).
proved(t30_sheffer2, sheffer2, [t20_sheffer2,t28_sheffer2],[dt_l1_sheffer1],[2,19]).
proved(t31_sheffer2, sheffer2, [t25_sheffer2,t29_sheffer2],[dt_l1_sheffer1],[1,17]).
proved(t33_sheffer2, sheffer2, [t20_sheffer2],[dt_l1_sheffer1],[1,13]).
proved(t36_sheffer2, sheffer2, [t20_sheffer2,t32_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[2,30]).
proved(t42_sheffer2, sheffer2, [t19_sheffer2,t20_sheffer2,t30_sheffer2,t32_sheffer2,t37_sheffer2,t38_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[4,46]).
proved(t43_sheffer2, sheffer2, [t20_sheffer2,t30_sheffer2,t32_sheffer2,t37_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[3,34]).
proved(t44_sheffer2, sheffer2, [t19_sheffer2,t20_sheffer2,t30_sheffer2,t32_sheffer2,t37_sheffer2,t38_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1],[4,45]).
proved(t6_sheffer2, sheffer2, [d16_sheffer1,d1_sheffer2,t5_sheffer2],[dt_k6_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,30]).
proved(t71_sheffer2, sheffer2, [d13_sheffer1,d14_sheffer1],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,24]).
proved(t72_sheffer2, sheffer2, [d13_sheffer1,d14_sheffer1],[existence_m1_subset_1],[2,17]).
proved(t76_sheffer2, sheffer2, [d13_sheffer1,t70_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,24]).
proved(t77_sheffer2, sheffer2, [d13_sheffer1,t70_sheffer2],[existence_m1_subset_1],[2,18]).
proved(t78_sheffer2, sheffer2, [d13_sheffer1,t70_sheffer2],[existence_m1_subset_1],[2,18]).
proved(t79_sheffer2, sheffer2, [t70_sheffer2,t71_sheffer2],[dt_l1_sheffer1],[1,20]).
proved(t83_sheffer2, sheffer2, [d13_sheffer1,t82_sheffer2],[existence_m1_subset_1],[2,16]).
proved(t84_sheffer2, sheffer2, [d13_sheffer1,t83_sheffer2],[existence_m1_subset_1],[2,18]).
proved(t85_sheffer2, sheffer2, [d13_sheffer1,t83_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[1,19]).
proved(t86_sheffer2, sheffer2, [d13_sheffer1,t83_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[1,19]).
proved(t87_sheffer2, sheffer2, [t83_sheffer2],[dt_l1_sheffer1],[1,15]).
proved(t89_sheffer2, sheffer2, [d13_sheffer1,d15_sheffer1,t83_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,29]).
proved(t90_sheffer2, sheffer2, [d13_sheffer1,d15_sheffer1,t70_sheffer2,t81_sheffer2,t83_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[5,50]).
proved(t91_sheffer2, sheffer2, [d13_sheffer1,t77_sheffer2,t90_sheffer2],[dt_l1_sheffer1,existence_m1_subset_1],[1,21]).
proved(t92_sheffer2, sheffer2, [d13_sheffer1,t91_sheffer2],[existence_m1_subset_1],[1,13]).
proved(t95_sheffer2, sheffer2, [d13_sheffer1,t70_sheffer2,t81_sheffer2,t83_sheffer2,t92_sheffer2],[dt_k5_sheffer1,dt_l1_sheffer1,existence_m1_subset_1],[2,52]).
proved(t96_sheffer2, sheffer2, [d13_sheffer1,t72_sheffer2,t81_sheffer2,t83_sheffer2,t95_sheffer2],[existence_m1_subset_1],[2,31]).
proved(t97_sheffer2, sheffer2, [d13_sheffer1,t96_sheffer2],[existence_m1_subset_1],[1,13]).
proved(t10_subset_1, subset_1, [t3_xboole_1,t4_subset_1,t7_subset_1],[existence_m1_subset_1],[2,13]).
proved(t21_subset_1, subset_1, [d3_subset_1,d4_subset_1,d5_subset_1,t3_boole],[dt_k1_subset_1,involutiveness_k3_subset_1],[2,14]).
proved(t26_subset_1, subset_1, [d5_subset_1,t79_xboole_1],[symmetry_r1_xboole_0],[2,9]).
proved(t28_subset_1, subset_1, [d10_xboole_0,d1_zfmisc_1,d2_subset_1,d4_subset_1,t25_subset_1,t7_boole,t7_xboole_1],[commutativity_k2_xboole_0,dt_k2_subset_1,dt_k3_subset_1,dt_k4_subset_1,involutiveness_k3_subset_1,redefinition_k4_subset_1,reflexivity_r1_tarski],[4,40]).
proved(t35_subset_1, subset_1, [t31_subset_1],[dt_k3_subset_1,involutiveness_k3_subset_1],[2,12]).
proved(t36_subset_1, subset_1, [t31_subset_1],[dt_k3_subset_1,involutiveness_k3_subset_1],[2,12]).
proved(t38_subset_1, subset_1, [d3_subset_1,d3_tarski,d4_subset_1,d5_subset_1,d6_xboole_0,t1_boole,t25_subset_1,t28_xboole_1,t29_subset_1,t34_subset_1,t37_xboole_1,t49_xboole_1,t54_xboole_1,t5_boole,t6_boole,t7_boole],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,idempotence_k2_xboole_0,idempotence_k3_xboole_0,rc2_subset_1,redefinition_k4_subset_1,redefinition_k5_subset_1,redefinition_k7_subset_1,reflexivity_r1_tarski],[5,68]).
proved(t39_subset_1, subset_1, [d3_tarski,d4_subset_1,d5_subset_1,d6_xboole_0,t12_xboole_1,t25_subset_1,t29_subset_1,t34_subset_1,t34_xboole_1,t37_xboole_1,t38_xboole_1,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole],[antisymmetry_r2_hidden,dt_k3_subset_1,fc1_xboole_0,fc2_xboole_0,idempotence_k2_xboole_0,idempotence_k3_xboole_0,involutiveness_k3_subset_1,rc1_xboole_0,rc2_subset_1,redefinition_k4_subset_1,redefinition_k5_subset_1,redefinition_k7_subset_1,reflexivity_r1_tarski],[4,90]).
proved(t40_subset_1, subset_1, [d1_zfmisc_1,d2_subset_1,d2_xboole_0,d3_tarski,d5_subset_1,t12_xboole_1,t2_xboole_1,t34_xboole_1,t35_subset_1,t38_xboole_1,t3_boole,t7_boole],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,dt_k3_subset_1,involutiveness_k3_subset_1],[7,54]).
proved(t41_subset_1, subset_1, [d3_subset_1,d4_subset_1,d5_subset_1,d6_xboole_0,t102_xboole_1,t1_boole,t21_subset_1,t2_boole,t2_xboole_1,t31_subset_1,t34_xboole_1,t3_boole,t45_xboole_1,t53_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,commutativity_k5_xboole_0,dt_k2_subset_1,dt_k3_subset_1,dt_k4_subset_1,idempotence_k2_xboole_0,idempotence_k3_xboole_0,involutiveness_k3_subset_1,redefinition_k4_subset_1],[4,83]).
proved(t42_subset_1, subset_1, [d3_subset_1,d4_subset_1,d5_subset_1,d6_xboole_0,t102_xboole_1,t1_boole,t21_subset_1,t2_boole,t2_xboole_1,t31_subset_1,t34_xboole_1,t3_boole,t45_xboole_1,t53_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,commutativity_k5_xboole_0,dt_k2_subset_1,dt_k3_subset_1,dt_k5_subset_1,idempotence_k2_xboole_0,idempotence_k3_xboole_0,involutiveness_k3_subset_1,redefinition_k5_subset_1],[4,70]).
proved(t44_subset_1, subset_1, [d2_subset_1,t31_subset_1,t3_xboole_0,t43_subset_1,t7_boole],[dt_k3_subset_1,symmetry_r1_xboole_0],[5,44]).
proved(t47_subset_1, subset_1, [d2_subset_1,d3_subset_1,d3_tarski,d4_subset_1,d5_subset_1,t12_xboole_1,t17_xboole_1,t21_subset_1,t2_boole,t38_subset_1,t3_xboole_0,t43_subset_1,t44_subset_1,t49_xboole_1,t6_boole,t7_boole],[antisymmetry_r2_hidden,dt_k2_subset_1,dt_k3_subset_1,fc1_xboole_0,fc2_xboole_0,idempotence_k3_xboole_0,involutiveness_k3_subset_1,symmetry_r1_xboole_0],[6,80]).
proved(t48_subset_1, subset_1, [d2_subset_1,d3_tarski,t136_zfmisc_1,t7_boole],[antisymmetry_r2_hidden],[2,11]).
proved(t49_subset_1, subset_1, [d3_subset_1,d5_subset_1,t38_subset_1,t3_boole,t7_subset_1],[dt_k1_subset_1,dt_k3_subset_1,existence_m1_subset_1,involutiveness_k3_subset_1],[3,31]).
proved(t50_subset_1, subset_1, [d2_subset_1,d4_xboole_0,d5_subset_1,t6_boole],[antisymmetry_r2_hidden],[2,17]).
proved(t54_subset_1, subset_1, [d5_subset_1,t26_subset_1,t3_xboole_0],[],[2,13]).
proved(t56_subset_1, subset_1, [d1_zfmisc_1,d2_subset_1,t2_xboole_1,t38_zfmisc_1,t6_boole,t7_boole],[],[3,21]).
proved(t63_subset_1, subset_1, [d1_xboole_0,d2_subset_1,t55_subset_1,t7_boole],[],[1,11]).
proved(t8_subset_1, subset_1, [d10_xboole_0,t7_subset_1],[existence_m1_subset_1],[3,29]).
proved(t2_subset, subset, [d2_subset_1],[],[1,6]).
proved(t3_subset, subset, [d1_zfmisc_1,d2_subset_1],[fc1_subset_1,reflexivity_r1_tarski],[4,22]).
proved(t5_subset, subset, [d1_xboole_0,d2_subset_1,d3_tarski,t3_subset,t50_subset_1],[antisymmetry_r2_hidden,dt_k3_subset_1],[6,32]).
proved(t18_substlat, substlat, [d3_substlat,t14_substlat,t3_substlat],[],[2,23]).
proved(t25_substlat, substlat, [d1_substlat,d2_substlat,t11_substlat,t24_substlat,t6_boole],[dt_k1_substlat,dt_m2_subset_1,fc1_substlat,fc1_xboole_0,fc2_finsub_1],[2,30]).
proved(t7_substlat, substlat, [d10_xboole_0,d1_tarski,d2_substlat,d3_tarski,d5_finsub_1,t13_finset_1,t1_subset,t2_subset,t2_xboole_1,t99_zfmisc_1],[cc3_finsub_1,dt_k5_finsub_1,existence_m1_subset_1,fc2_finsub_1,fraenkel_a_2_0_substlat,fraenkel_a_3_0_substlat,rc1_wellfnd1],[4,81]).
proved(t9_substlat, substlat, [d10_xboole_0,d2_substlat,d3_tarski,t2_xboole_1,t5_subset,t6_boole,t6_substlat],[rc2_finset_1],[3,32]).
proved(t120_supinf_1, supinf_1, [d1_supinf_1,d1_xreal_0,d7_seq_2,d7_supinf_1,t16_supinf_1,t17_supinf_1,t18_supinf_1,t1_subset,t1_xreal_1],[connectedness_r1_supinf_1,existence_m1_subset_1,rc4_xreal_0,redefinition_k4_supinf_1,reflexivity_r1_supinf_1,reflexivity_r1_xreal_0],[3,104]).
proved(t14_supinf_1, supinf_1, [d1_supinf_1,d1_tarski,d3_supinf_1,t1_boole,t3_boole],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,redefinition_k4_supinf_1,redefinition_k5_supinf_1],[2,20]).
proved(t17_supinf_1, supinf_1, [d1_supinf_1,d1_tarski,d3_supinf_1,d3_xboole_0,d7_supinf_1,t1_boole,t1_subset],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,dt_k5_supinf_1,idempotence_k3_xboole_0,redefinition_k4_supinf_1,redefinition_k5_supinf_1,reflexivity_r1_supinf_1],[6,62]).
proved(t18_supinf_1, supinf_1, [d1_supinf_1,d7_supinf_1,t14_supinf_1,t1_subset],[antisymmetry_r2_hidden,dt_k4_supinf_1,redefinition_k4_supinf_1],[4,27]).
proved(t19_supinf_1, supinf_1, [d1_supinf_1,d7_supinf_1,t14_supinf_1,t2_supinf_1],[dt_k4_supinf_1,dt_k5_supinf_1,existence_m1_subset_1,redefinition_k4_supinf_1],[2,21]).
proved(t20_supinf_1, supinf_1, [d1_supinf_1,d7_supinf_1,t11_supinf_1,t18_supinf_1],[connectedness_r1_supinf_1,dt_k4_supinf_1,existence_m1_subset_1,redefinition_k4_supinf_1],[2,27]).
proved(t21_supinf_1, supinf_1, [d7_supinf_1,t11_supinf_1,t6_supinf_1],[existence_m1_subset_1,redefinition_k5_supinf_1],[2,15]).
proved(t23_supinf_1, supinf_1, [t21_supinf_1,t22_supinf_1],[dt_k5_supinf_1],[1,9]).
proved(t24_supinf_1, supinf_1, [d1_supinf_1,t20_supinf_1,t22_supinf_1],[dt_k4_supinf_1,redefinition_k4_supinf_1],[1,16]).
proved(t31_supinf_1, supinf_1, [d1_supinf_1,t17_supinf_1,t23_supinf_1,t24_supinf_1,t2_supinf_1],[dt_k5_supinf_1,redefinition_k4_supinf_1],[1,24]).
proved(t33_supinf_1, supinf_1, [d1_supinf_1,d9_supinf_1,t20_supinf_1],[dt_k4_supinf_1,dt_k5_supinf_1,redefinition_k4_supinf_1],[2,16]).
proved(t34_supinf_1, supinf_1, [d3_tarski,d9_supinf_1,t4_subset],[antisymmetry_r2_hidden,dt_k5_supinf_1,dt_m1_supinf_1],[3,23]).
proved(t36_supinf_1, supinf_1, [d10_supinf_1,t21_supinf_1],[dt_k5_supinf_1],[2,10]).
proved(t39_supinf_1, supinf_1, [d10_supinf_1,d1_supinf_1,d3_tarski,d7_supinf_1,t1_boole,t1_rpr_1,t28_xboole_1,t2_boole,t2_subset,t36_supinf_1,t3_subset,t4_subset,t6_boole,t7_boole],[antisymmetry_r2_hidden,dt_k5_supinf_1,dt_m2_supinf_1,existence_m1_subset_1,rc2_subset_1,redefinition_k12_arytm_3,redefinition_k4_supinf_1,reflexivity_r1_supinf_1],[3,77]).
proved(t41_supinf_1, supinf_1, [d1_supinf_1,t33_supinf_1],[dt_k6_supinf_1,redefinition_k4_supinf_1,redefinition_k6_supinf_1],[1,11]).
proved(t42_supinf_1, supinf_1, [d1_supinf_1,t36_supinf_1],[dt_k6_supinf_1,redefinition_k4_supinf_1,redefinition_k6_supinf_1],[1,11]).
proved(t44_supinf_1, supinf_1, [d11_supinf_1,d1_supinf_1,t34_supinf_1],[dt_m1_supinf_1,redefinition_k6_supinf_1],[2,27]).
proved(t47_supinf_1, supinf_1, [d12_supinf_1,d1_supinf_1,t39_supinf_1],[dt_m2_supinf_1,redefinition_k6_supinf_1],[2,27]).
proved(t4_supinf_1, supinf_1, [d1_supinf_1,d2_supinf_1],[],[1,7]).
proved(t50_supinf_1, supinf_1, [d13_supinf_1,t44_supinf_1,t47_supinf_1],[],[1,21]).
proved(t68_supinf_1, supinf_1, [t3_subset,t62_supinf_1,t66_supinf_1],[dt_k5_supinf_1,dt_m1_supinf_1],[2,37]).
proved(t69_supinf_1, supinf_1, [d1_supinf_1,d3_supinf_1,t63_supinf_1,t67_supinf_1],[dt_k5_supinf_1,dt_m2_supinf_1,redefinition_k4_supinf_1,redefinition_k5_supinf_1,redefinition_k6_supinf_1],[2,45]).
proved(t6_supinf_1, supinf_1, [d1_tarski,d3_supinf_1,d3_xboole_0],[antisymmetry_r2_hidden,idempotence_k3_xboole_0],[3,15]).
proved(t72_supinf_1, supinf_1, [t33_supinf_1,t68_supinf_1,t70_supinf_1],[dt_k4_supinf_1,dt_k5_supinf_1,dt_m1_supinf_1,reflexivity_r1_supinf_1],[4,40]).
proved(t73_supinf_1, supinf_1, [t69_supinf_1,t71_supinf_1],[dt_k5_supinf_1,dt_m2_supinf_1,existence_m2_supinf_1,reflexivity_r1_supinf_1],[3,35]).
proved(t76_supinf_1, supinf_1, [d16_supinf_1,d9_supinf_1,t4_subset,t7_boole],[dt_k5_supinf_1,dt_k9_supinf_1,dt_m1_supinf_1],[3,21]).
proved(t79_supinf_1, supinf_1, [d10_supinf_1,d17_supinf_1,t4_subset,t7_boole],[dt_k10_supinf_1,dt_k5_supinf_1,dt_m2_supinf_1],[3,21]).
proved(t80_supinf_1, supinf_1, [d16_supinf_1,d9_supinf_1,t4_subset,t7_boole],[dt_k5_supinf_1,dt_m1_supinf_1],[2,22]).
proved(t81_supinf_1, supinf_1, [d10_supinf_1,d17_supinf_1,t4_subset,t7_boole],[dt_k5_supinf_1,dt_m2_supinf_1],[2,22]).
proved(t84_supinf_1, supinf_1, [d10_supinf_1,d12_supinf_1,d17_supinf_1,d1_supinf_1,d1_tarski,d2_tarski,d2_xboole_0,d3_supinf_1,d3_tarski,d5_supinf_1,d6_supinf_1,d7_supinf_1,t14_supinf_1,t17_supinf_1,t18_supinf_1,t1_boole,t1_subset,t2_subset,t39_zfmisc_1,t3_subset,t4_subset,t5_subset,t60_supinf_1,t63_supinf_1,t6_boole],[antisymmetry_r2_hidden,cc1_supinf_1,commutativity_k2_tarski,commutativity_k2_xboole_0,dt_k10_supinf_1,dt_k5_supinf_1,dt_k6_supinf_1,dt_m2_supinf_1,existence_m1_subset_1,fc1_supinf_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,redefinition_k4_supinf_1,redefinition_k5_supinf_1,redefinition_k6_supinf_1,reflexivity_r1_supinf_1],[4,199]).
proved(t8_supinf_1, supinf_1, [d4_supinf_1],[],[1,4]).
proved(t98_supinf_1, supinf_1, [t29_supinf_1,t4_subset,t79_supinf_1,t7_boole],[dt_k10_supinf_1],[2,21]).
proved(t20_symsp_1, symsp_1, [t13_symsp_1,t14_symsp_1],[cc1_vectsp_1,cc4_vectsp_1,cc5_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1],[2,55]).
proved(t12_sysrel, sysrel, [t113_zfmisc_1,t1_boole,t1_funcop_1,t2_subset,t6_boole,t6_setwiseo,t7_boole,t8_boole],[commutativity_k2_xboole_0,fc12_relat_1,fc1_sysrel,fc4_relat_1,fc5_relat_1,idempotence_k2_xboole_0,rc1_relat_1],[5,76]).
proved(t29_sysrel, sysrel, [t43_funct_1],[idempotence_k3_xboole_0],[0,6]).
proved(t33_sysrel, sysrel, [t28_xboole_1,t43_funct_1,t76_relat_1],[dt_k6_relat_1],[2,11]).
proved(t37_sysrel, sysrel, [d3_tarski,t36_sysrel,t7_xboole_1],[antisymmetry_r2_hidden],[3,16]).
proved(t51_sysrel, sysrel, [d3_tarski,t15_sysrel,t21_relat_1,t43_sysrel,t45_sysrel],[antisymmetry_r2_hidden,dt_k1_sysrel],[5,30]).
proved(t4_t_0topsp, t_0topsp, [d10_xboole_0,d5_t_0topsp,t14_pre_topc,t3_subset,t51_tops_2],[dt_k16_borsuk_1,dt_k2_pre_topc,dt_k2_t_0topsp,dt_k3_t_0topsp,dt_k4_t_0topsp,dt_l1_pre_topc,fc1_t_0topsp,reflexivity_r1_tarski],[5,72]).
proved(t10_t_1topsp, t_1topsp, [d1_t_1topsp,d4_tarski,d6_eqrel_1,t1_boole,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole],[cc1_eqrel_1,cc2_eqrel_1,dt_m1_eqrel_1,existence_m1_eqrel_1,fc1_subset_1,fc1_xboole_0,fc3_xboole_0,rc1_partfun1,rc2_subset_1,redefinition_k5_setfam_1,reflexivity_r1_tarski],[7,83]).
proved(t10_taxonom2, taxonom2, [d1_tarski,d5_taxonom2,t3_boole],[],[4,15]).
proved(t25_tdlat_1, tdlat_1, [t107_tops_1,t111_tops_1],[dt_k1_tops_1,fc6_tops_1],[2,19]).
proved(t26_tdlat_1, tdlat_1, [t16_tdlat_1,t24_tdlat_1],[dt_k3_subset_1],[1,13]).
proved(t27_tdlat_1, tdlat_1, [t16_tdlat_1,t25_tdlat_1],[dt_k3_subset_1],[1,13]).
proved(t2_tdlat_1, tdlat_1, [t2_subset,t3_subset,t43_subset_1,t4_boole,t50_subset_1,t5_subset,t6_boole],[existence_m1_subset_1,existence_m4_realset1,fc4_realset1,fc6_membered,rc2_funct_1,rc2_subset_1,symmetry_r1_xboole_0],[3,77]).
proved(t12_tdlat_3, tdlat_3, [d1_tdlat_3,d2_tdlat_3],[redefinition_k1_pcomps_1],[1,14]).
proved(t53_tdlat_3, tdlat_3, [t51_tdlat_3],[cc4_lattices,cc5_lattices,cc7_lattices,dt_k12_tdlat_1,dt_k4_tdlat_1,dt_l1_pre_topc],[2,48]).
proved(t55_tdlat_3, tdlat_3, [t36_tdlat_3,t46_tdlat_3,t51_tdlat_3],[cc12_tdlat_3,cc15_tdlat_3,cc4_lattices,cc5_lattices,cc7_lattices,dt_k12_tdlat_1,dt_k4_tdlat_1,dt_l1_pre_topc,existence_m1_subset_1],[2,78]).
proved(t8_tdlat_3, tdlat_3, [t52_pre_topc,t7_tdlat_3],[],[1,17]).
proved(t13_tex_1, tex_1, [d1_pre_topc,d2_tdlat_3,t21_tdlat_3,t52_pre_topc,t6_boole],[dt_l1_pre_topc,existence_m1_subset_1,rc3_tops_1],[3,52]).
proved(t21_tex_1, tex_1, [t18_tdlat_3],[existence_m1_subset_1,fc2_tops_1],[2,14]).
proved(t22_tex_1, tex_1, [t17_tdlat_3],[existence_m1_subset_1,fc6_tops_1],[2,14]).
proved(t13_tex_2, tex_2, [d3_tex_2],[],[2,22]).
proved(t1_tex_2, tex_2, [d4_realset1,t1_rpr_1,t3_boole,t3_subset],[fc3_realset1,fc6_membered,reflexivity_r1_tarski],[3,34]).
proved(t21_tex_2, tex_2, [],[cc12_tex_2,dt_k1_tex_2],[1,14]).
proved(t24_tex_2, tex_2, [],[cc1_tex_1,dt_k1_tex_2,dt_m1_pre_topc,fc2_tex_2],[2,27]).
proved(t51_tex_2, tex_2, [d3_pre_topc,d8_tex_2,t1_tsep_1,t5_tex_2],[cc12_tex_2,cc13_tex_2,cc15_tdlat_3,cc9_tdlat_3,dt_l1_pre_topc,dt_m1_pre_topc,existence_m1_subset_1,rc10_tex_2],[4,159]).
proved(t6_tex_2, tex_2, [t7_rpr_1],[cc3_tex_2,dt_k6_domain_1],[1,13]).
proved(t7_tex_2, tex_2, [d1_tex_2,t5_tex_2],[cc1_realset1,dt_k6_domain_1,existence_m1_subset_1],[1,15]).
proved(t9_tex_2, tex_2, [d1_tex_1,t5_tex_2],[dt_k1_struct_0,existence_m1_subset_1,redefinition_k1_struct_0],[1,20]).
proved(t16_tex_3, tex_3, [d2_tex_3],[cc1_tex_1,cc2_tdlat_3,cc34_tex_2,cc45_tex_2,dt_l1_pre_topc,existence_m1_subset_1,rc10_tex_2],[2,104]).
proved(t32_tex_3, tex_3, [t31_tex_3,t6_tex_3],[cc12_tex_2,cc1_tex_1,dt_l1_pre_topc,rc13_tex_2,rc4_struct_0,redefinition_r4_tsep_2,symmetry_r3_tsep_2],[3,72]).
proved(t38_tex_3, tex_3, [t37_tex_3,t6_tex_3],[cc12_tex_2,cc1_tex_1,cc3_tex_1,cc4_tex_1,cc5_tex_1,dt_l1_pre_topc,rc13_tex_2,rc4_struct_0,redefinition_r4_tsep_2,symmetry_r3_tsep_2],[3,72]).
proved(t49_tex_3, tex_3, [],[cc1_tdlat_3,cc22_tex_3],[1,11]).
proved(t50_tex_3, tex_3, [],[cc1_tdlat_3,cc23_tex_3,cc24_tex_3],[1,15]).
proved(t51_tex_3, tex_3, [t30_tex_3],[cc1_pre_topc,dt_l1_pre_topc,dt_m1_pre_topc,rc11_tex_1],[2,31]).
proved(t53_tex_3, tex_3, [t32_tex_3,t6_tex_3,t8_tex_3],[cc12_tex_2,cc14_tex_3,cc1_pre_topc,dt_m1_pre_topc,rc4_struct_0],[2,42]).
proved(t58_tex_3, tex_3, [],[cc25_tex_3],[1,10]).
proved(t59_tex_3, tex_3, [],[cc11_tdlat_3,cc11_tex_3],[1,14]).
proved(t60_tex_3, tex_3, [],[cc26_tex_3],[1,10]).
proved(t61_tex_3, tex_3, [],[cc26_tex_3,cc8_tex_3],[1,14]).
proved(t64_tex_3, tex_3, [t38_tex_3,t6_tex_3,t8_tex_3],[cc12_tex_2,cc15_tex_3,cc1_pre_topc,dt_l1_pre_topc,dt_m1_pre_topc,rc4_struct_0],[2,44]).
proved(t9_tex_3, tex_3, [d1_tex_3],[cc12_tdlat_3,cc1_tex_1,cc2_tdlat_3,cc34_tex_2,cc45_tex_2,dt_l1_pre_topc,existence_m1_subset_1,rc10_tex_2],[2,86]).
proved(t12_tex_4, tex_4, [d5_tex_4,d6_tex_4],[dt_k1_tex_4,dt_l1_pre_topc,existence_m1_subset_1,fraenkel_a_2_4_tex_4],[2,24]).
proved(t91_tmap_1, tmap_1, [t11_grcat_1],[],[1,7]).
proved(t16_toler_1, toler_1, [t15_toler_1,t97_orders_1],[dt_k1_eqrel_1,fc1_eqrel_1],[1,14]).
proved(t19_toler_1, toler_1, [d15_relat_2,d7_relat_2,t15_toler_1,t97_orders_1],[dt_k1_eqrel_1,fc1_eqrel_1,fc2_eqrel_1],[3,25]).
proved(t21_toler_1, toler_1, [d14_relat_2,d15_relat_2,d6_relat_2,d7_relat_2,t15_toler_1,t97_orders_1],[dt_k1_eqrel_1,fc1_eqrel_1,fc2_eqrel_1],[3,38]).
proved(t25_toler_1, toler_1, [d10_xboole_0,d3_tarski,d4_eqrel_1,d4_partfun1,t11_relset_1,t28_eqrel_1,t2_subset,t3_subset,t4_subset,t6_boole,t99_orders_1],[antisymmetry_r2_hidden,cc1_relset_1,dt_k10_relset_1,dt_k5_relset_1,dt_m2_relset_1,fc1_toler_1,fc6_relat_1,redefinition_k10_relset_1,redefinition_k4_relset_1,redefinition_k5_relset_1,redefinition_m2_relset_1,reflexivity_r1_tarski],[10,82]).
proved(t27_toler_1, toler_1, [d3_xboole_0,d4_partfun1,d4_relat_1,d6_relat_1,t11_eqrel_1,t97_orders_1],[antisymmetry_r2_hidden,cc1_relset_1,commutativity_k2_xboole_0,dt_m2_relset_1,idempotence_k3_xboole_0,redefinition_k4_relset_1,redefinition_m2_relset_1],[3,50]).
proved(t28_toler_1, toler_1, [d9_relat_2,t97_orders_1],[cc1_relset_1,dt_m2_relset_1],[2,16]).
proved(t29_toler_1, toler_1, [d11_relat_2,t97_orders_1],[cc1_relset_1,dt_m2_relset_1],[2,16]).
proved(t2_toler_1, toler_1, [d1_relat_2,d6_relat_1,d9_relat_2,t1_boole,t6_boole,t7_boole],[cc1_relat_1,commutativity_k2_xboole_0,fc4_relat_1,fc7_relat_1,fc8_relat_1,rc2_subset_1],[4,27]).
proved(t34_toler_1, toler_1, [d3_toler_1,t6_boole,t7_boole],[rc2_subset_1],[2,14]).
proved(t38_toler_1, toler_1, [d10_xboole_0,d4_toler_1,t1_boole,t2_subset,t34_toler_1,t3_subset,t5_subset,t6_boole,t7_xboole_1],[antisymmetry_r2_hidden,cc1_relset_1,commutativity_k2_xboole_0,dt_k4_relset_1,dt_m2_relset_1,existence_m1_subset_1,fc1_toler_1,fc5_relat_1,rc1_partfun1,rc2_partfun1,rc2_subset_1,redefinition_k4_relset_1,redefinition_m2_relset_1],[6,80]).
proved(t39_toler_1, toler_1, [d10_xboole_0,t1_boole,t3_subset,t6_boole,t7_xboole_1],[commutativity_k2_xboole_0,dt_k4_relset_1,fc1_toler_1,fc5_relat_1,rc1_partfun1,rc3_partfun1,redefinition_k4_relset_1,redefinition_m2_relset_1],[6,55]).
proved(t3_toler_1, toler_1, [d10_xboole_0,t3_subset,t6_boole],[dt_k4_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1],[5,31]).
proved(t47_toler_1, toler_1, [t37_zfmisc_1,t41_toler_1,t45_toler_1],[cc1_relset_1,dt_m2_relset_1,reflexivity_r1_tarski],[2,27]).
proved(t5_toler_1, toler_1, [d10_xboole_0,t1_boole,t3_subset,t6_boole,t7_xboole_1],[commutativity_k2_xboole_0,dt_k4_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc1_partfun1,rc3_partfun1,redefinition_k4_relset_1],[5,39]).
proved(t7_toler_1, toler_1, [d10_xboole_0,d14_relat_2,d2_wellord1,d6_relat_1,d6_relat_2,t1_boole,t3_subset,t5_subset,t6_boole],[commutativity_k2_xboole_0,dt_k4_relset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,fc8_relat_1,rc1_partfun1,rc2_partfun1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1,reflexivity_r1_tarski],[10,87]).
proved(t9_toler_1, toler_1, [d10_xboole_0,d6_eqrel_1,t3_subset,t6_boole],[cc2_eqrel_1,dt_k4_relset_1,dt_m1_eqrel_1,existence_m1_eqrel_1,existence_m1_subset_1,fc12_relat_1,fc4_relat_1,fc5_relat_1,rc2_subset_1,rc3_partfun1,redefinition_k4_relset_1],[5,40]).
proved(t21_topgrp_1, topgrp_1, [d3_pre_topc,t2_subset,t3_subset,t4_subset,t5_connsp_2,t6_boole],[dt_l1_pre_topc,fc1_struct_0,fc1_xboole_0,fc8_tops_1,reflexivity_r1_tarski],[3,41]).
proved(t103_tops_1, tops_1, [d7_tops_1,t102_tops_1,t63_tops_1],[dt_k1_tops_1,dt_l1_pre_topc],[2,21]).
proved(t105_tops_1, tops_1, [d13_pre_topc,d1_tops_1,d5_pre_topc,d7_tops_1,d8_tops_1,t29_tops_1,t2_subset,t30_tops_1,t52_pre_topc,t5_subset,t6_boole,t84_tops_1],[dt_k1_tops_1,dt_k2_pre_topc,dt_k3_subset_1,dt_l1_pre_topc,dt_u1_pre_topc,existence_m1_subset_1,rc1_tops_1,rc2_tops_1,rc3_tops_1,rc4_pre_topc,rc4_struct_0,rc4_tops_1,rc5_struct_0,rc5_tops_1,rc6_pre_topc,rc7_pre_topc],[3,193]).
proved(t31_tops_1, tops_1, [t49_pre_topc,t52_pre_topc],[],[2,14]).
proved(t53_tops_1, tops_1, [t43_tops_1],[dt_k2_pre_topc,dt_l1_pre_topc,fc6_tops_1],[3,16]).
proved(t59_tops_1, tops_1, [d1_tops_1,t17_pre_topc,t53_pre_topc,t58_tops_1],[dt_l1_pre_topc,involutiveness_k3_subset_1],[2,26]).
proved(t69_tops_1, tops_1, [t52_pre_topc,t63_tops_1],[],[1,12]).
proved(t8_tops_1, tops_1, [d3_pre_topc,d4_subset_1,t22_subset_1,t27_pre_topc,t6_boole],[dt_k1_pre_topc,dt_k1_subset_1,involutiveness_k3_subset_1],[2,28]).
proved(t92_tops_1, tops_1, [d4_tops_1,t91_tops_1],[],[1,10]).
proved(t93_tops_1, tops_1, [d5_tops_1,t52_pre_topc],[],[1,12]).
proved(t97_tops_1, tops_1, [d1_tops_1,d3_tops_1,d4_tops_1,t52_pre_topc,t84_tops_1],[cc4_tops_1,dt_k3_subset_1,dt_l1_pre_topc,fc4_tops_1,involutiveness_k3_subset_1],[3,43]).
proved(t10_tops_3, tops_3, [d3_pre_topc],[cc5_tops_1,cc6_tops_1,dt_l1_pre_topc,fc2_pre_topc,fc5_pre_topc,fc8_tops_1],[2,31]).
proved(t23_tops_3, tops_3, [d3_pre_topc,t6_boole],[cc6_tops_1,dt_l1_pre_topc,fc2_pre_topc,fc6_membered,fc8_tops_1],[2,25]).
proved(t25_tops_3, tops_3, [d2_tops_3,d3_tops_1,d5_tops_1,t10_tops_3,t3_subset],[reflexivity_r1_tarski],[2,28]).
proved(t35_tops_3, tops_3, [d3_tops_1,d4_tops_3,t30_tdlat_3],[dt_k1_tops_1,dt_l1_pre_topc,existence_m1_subset_1],[3,57]).
proved(t37_tops_3, tops_3, [d1_tops_3,t32_tops_3,t34_tops_3,t3_subset,t6_boole],[dt_l1_pre_topc,existence_m1_subset_1,rc4_tops_1],[4,40]).
proved(t71_tops_3, tops_3, [d2_subset_1,d4_subset_1,d5_subset_1,t1_boole,t21_tops_1,t2_subset,t37_xboole_1,t3_boole,t3_subset,t40_xboole_1,t4_boole,t6_boole],[cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,commutativity_k2_xboole_0,dt_k1_subset_1,dt_k2_subset_1,fc6_membered,involutiveness_k3_subset_1],[7,122]).
proved(t55_transgeo, transgeo, [t44_transgeo,t52_transgeo],[cc1_funct_2,cc4_funct_2,dt_k6_partfun1,dt_k6_relat_1,fc2_partfun1,redefinition_k6_partfun1,redefinition_m2_relset_1],[2,43]).
proved(t16_tsep_1, tsep_1, [d1_tsep_1],[],[2,23]).
proved(t1_tsep_1, tsep_1, [d3_pre_topc,d9_pre_topc,t3_subset],[dt_l1_pre_topc,dt_m1_pre_topc,existence_m1_subset_1],[3,20]).
proved(t32_tsep_2, tsep_2, [t22_tmap_1,t2_tsep_1,t30_tsep_2],[cc1_pre_topc,dt_l1_pre_topc,dt_m1_pre_topc],[3,27]).
proved(t36_tsep_2, tsep_2, [t1_tsep_1,t2_subset,t35_tsep_2,t4_subset],[cc1_pre_topc,dt_l1_pre_topc,dt_m1_pre_topc,fc1_struct_0,symmetry_r4_tsep_2],[5,52]).
proved(t5_tsep_2, tsep_2, [d5_pre_topc,t18_pre_topc,t26_subset_1,t2_subset,t2_tsep_2,t5_subset],[commutativity_k2_xboole_0,dt_l1_pre_topc,dt_u1_pre_topc,involutiveness_k3_subset_1,redefinition_k4_subset_1,symmetry_r1_xboole_0],[3,71]).
proved(t6_tsep_2, tsep_2, [t5_tsep_2],[dt_k3_subset_1],[1,11]).
proved(t8_tsep_2, tsep_2, [d1_tsep_2,t12_pre_topc,t27_pre_topc,t4_tsep_2,t8_boole],[dt_k1_pre_topc,dt_l1_pre_topc,fc1_pre_topc,fc2_pre_topc,idempotence_k2_xboole_0,involutiveness_k3_subset_1,redefinition_k4_subset_1],[4,46]).
proved(t10_tsp_2, tsp_2, [d6_tsp_2,t14_tsp_1,t9_tsp_2],[dt_k1_struct_0,dt_l1_pre_topc,existence_m1_subset_1,redefinition_k1_struct_0],[2,25]).
proved(t11_tsp_2, tsp_2, [d7_tsp_2],[],[2,23]).
proved(t34_vectsp_2, vectsp_2, [t25_rlvect_1,t30_rlvect_1],[],[2,33]).
proved(t41_vectsp_2, vectsp_2, [d13_vectsp_1,d19_vectsp_1,d20_vectsp_1,d4_group_1,t39_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[4,61]).
proved(t45_vectsp_2, vectsp_2, [d7_vectsp_2,t39_vectsp_2,t43_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1],[3,53]).
proved(t47_vectsp_2, vectsp_2, [d13_vectsp_1,d20_vectsp_1,d4_group_1,t39_vectsp_1],[cc1_vectsp_1,cc4_vectsp_1,dt_l1_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1,existence_m1_subset_1],[3,50]).
proved(t48_vectsp_2, vectsp_2, [t39_vectsp_2,t43_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_k1_vectsp_2,dt_l2_vectsp_1,dt_l3_vectsp_1],[2,44]).
proved(t51_vectsp_2, vectsp_2, [d21_vectsp_1,t43_vectsp_2,t50_vectsp_2],[cc1_vectsp_1,cc4_vectsp_1,dt_l2_vectsp_1,dt_l3_vectsp_1],[2,49]).
proved(t17_vectsp_4, vectsp_4, [d1_rlvect_1,d2_vectsp_4,t2_subset,t3_subset,t4_subset,t7_boole],[dt_l1_rlvect_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4,dt_u2_struct_0,fc1_struct_0],[6,94]).
proved(t18_vectsp_4, vectsp_4, [d2_vectsp_4,t2_subset,t3_subset,t4_subset],[cc1_vectsp_1,dt_l1_rlvect_1,dt_l2_struct_0,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4,fc1_struct_0],[5,81]).
proved(t19_vectsp_4, vectsp_4, [d2_rlvect_1,d2_vectsp_4],[dt_l1_rlvect_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4],[3,48]).
proved(t20_vectsp_4, vectsp_4, [t19_vectsp_4],[dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[1,34]).
proved(t25_vectsp_4, vectsp_4, [d2_rlvect_1,t19_vectsp_4,t3_rlvect_1],[cc1_vectsp_1,dt_l1_rlvect_1,dt_l2_struct_0,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4,dt_u2_struct_0],[2,74]).
proved(t26_vectsp_4, vectsp_4, [t19_vectsp_4,t25_vectsp_4],[cc1_vectsp_1,dt_l1_rlvect_1,dt_l2_struct_0,dt_l3_vectsp_1,dt_l4_vectsp_1],[1,44]).
proved(t27_vectsp_4, vectsp_4, [d11_rlvect_1,t16_rlvect_1,t19_vectsp_4,t3_rlvect_1],[cc1_vectsp_1,dt_k6_rlvect_1,dt_l1_rlvect_1,dt_l2_struct_0,dt_l3_vectsp_1,dt_l4_vectsp_1,existence_m1_subset_1],[5,59]).
proved(t48_vectsp_4, vectsp_4, [t47_vectsp_4],[dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[1,34]).
proved(t49_vectsp_4, vectsp_4, [t47_vectsp_4],[dt_k1_vectsp_4,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[1,33]).
proved(t50_vectsp_4, vectsp_4, [t47_vectsp_4],[dt_k1_vectsp_4,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_4],[2,62]).
proved(t51_vectsp_4, vectsp_4, [t47_vectsp_4,t50_vectsp_4],[dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[1,34]).
proved(t71_vectsp_4, vectsp_4, [d5_vectsp_4,t4_subset,t70_vectsp_4],[dt_k3_vectsp_4,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1],[2,57]).
proved(t50_vectsp_5, vectsp_5, [d4_vectsp_5,t48_vectsp_5],[cc1_vectsp_1,cc4_vectsp_1,cc5_vectsp_1,commutativity_k2_vectsp_5,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_5],[3,61]).
proved(t69_vectsp_5, vectsp_5, [t48_vectsp_5,t64_vectsp_5],[cc1_vectsp_1,cc4_vectsp_1,cc5_vectsp_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_5],[2,56]).
proved(t70_vectsp_5, vectsp_5, [t48_vectsp_5,t64_vectsp_5],[cc1_vectsp_1,cc4_vectsp_1,cc5_vectsp_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_vectsp_5],[2,56]).
proved(t11_waybel11, waybel11, [t7_waybel11,t8_waybel11],[dt_k6_waybel_0,dt_l1_waybel_9,fc13_waybel_0],[1,23]).
proved(t34_waybel15, waybel15, [t32_waybel15,t33_waybel15,t39_waybel_6],[cc10_waybel_1,cc12_waybel_0,cc1_lattice3,cc2_lattice3,cc3_waybel_5,cc3_waybel_8,cc4_waybel_3,cc4_yellow_0,cc8_waybel_1,dt_l1_orders_2],[2,72]).
proved(t24_waybel28, waybel28, [d1_classes1,d3_yellow_6,t1_xboole_1,t59_classes1,t5_classes1],[fc1_yellow_6,reflexivity_r1_tarski],[2,15]).
proved(t36_waybel30, waybel30, [t22_waybel30],[cc10_waybel30,cc10_waybel_0,cc11_waybel_0,cc2_lattice3,cc4_waybel30,cc4_waybel_3,cc4_waybel_4,cc5_waybel19,cc5_waybel_2,dt_l1_waybel_9,fc10_waybel30],[1,50]).
proved(t9_waybel30, waybel30, [d4_waybel19,t44_yellow_9],[dt_k2_waybel19,dt_l1_waybel_9,rc9_yellow13],[2,23]).
proved(t7_waybel32, waybel32, [],[rc1_waybel29,rc2_waybel29],[2,33]).
proved(t73_waybel_1, waybel_1, [t24_orders_2,t72_waybel_1],[cc2_lattice3,cc5_waybel_1,cc6_waybel_1,cc7_waybel_1,dt_l1_orders_2],[1,39]).
proved(t76_waybel_1, waybel_1, [t45_yellow_0,t72_waybel_1],[cc2_lattice3,cc5_waybel_1,cc6_waybel_1,cc7_waybel_1,dt_k4_yellow_0,dt_l1_orders_2],[1,41]).
proved(t83_waybel_1, waybel_1, [d22_waybel_1,t73_waybel_1,t77_waybel_1],[cc2_lattice3,cc5_waybel_1,cc5_yellow_0,cc6_waybel_1,cc7_waybel_1,dt_k3_yellow_0,dt_k4_yellow_0,dt_l1_orders_2],[2,54]).
proved(t7_waybel_5, waybel_5, [d2_funct_6,d3_pboole,d5_card_3,d8_pralg_2,t1_subset],[cc1_fraenkel,dt_k2_funct_6,dt_k3_pralg_2,dt_m1_pboole,fc3_card_3,rc1_card_3],[3,91]).
proved(t4_waybel_7, waybel_7, [t1_yellow_1,t4_yellow_1],[],[1,5]).
proved(t24_waybel_8, waybel_8, [t22_waybel_8,t50_waybel_7],[cc1_waybel_8,existence_m1_subset_1],[1,26]).
proved(t28_waybel_8, waybel_8, [t3_subset,t4_waybel_7],[reflexivity_r1_tarski],[1,14]).
proved(t21_waybel_9, waybel_9, [t38_yellow_6,t4_subset,t5_connsp_2],[redefinition_k1_pcomps_1],[1,24]).
proved(t3_waybel_9, waybel_9, [d3_pre_topc,d8_pre_topc],[redefinition_k5_setfam_1],[1,21]).
proved(t15_wellord1, wellord1, [d6_wellord1,t17_xboole_1],[commutativity_k3_xboole_0],[2,11]).
proved(t18_wellord1, wellord1, [t140_relat_1,t17_wellord1],[],[1,7]).
proved(t27_wellord1, wellord1, [t26_wellord1],[commutativity_k3_xboole_0],[1,8]).
proved(t28_wellord1, wellord1, [t26_wellord1],[idempotence_k3_xboole_0],[1,8]).
proved(t54_wellord1, wellord1, [d4_wellord1,t53_wellord1],[],[1,45]).
proved(t4_xboole_0, xboole_0, [d1_xboole_0,d7_xboole_0],[commutativity_k3_xboole_0,idempotence_k3_xboole_0],[2,22]).
proved(t100_xboole_1, xboole_1, [d6_xboole_0,t22_xboole_1,t47_xboole_1,t55_xboole_1],[commutativity_k3_xboole_0],[2,13]).
proved(t105_xboole_1, xboole_1, [d8_xboole_0,t37_xboole_1],[antisymmetry_r2_xboole_0],[2,11]).
proved(t108_xboole_1, xboole_1, [t18_xboole_1,t26_xboole_1],[],[1,7]).
proved(t109_xboole_1, xboole_1, [t106_xboole_1,t33_xboole_1],[],[1,7]).
proved(t10_xboole_1, xboole_1, [t1_xboole_1,t7_xboole_1],[commutativity_k2_xboole_0],[2,9]).
proved(t110_xboole_1, xboole_1, [t1_xboole_1,t36_xboole_1,t97_xboole_1],[],[2,13]).
proved(t113_xboole_1, xboole_1, [t4_xboole_1],[commutativity_k2_xboole_0],[2,8]).
proved(t114_xboole_1, xboole_1, [t70_xboole_1],[commutativity_k2_xboole_0,symmetry_r1_xboole_0],[3,16]).
proved(t11_xboole_1, xboole_1, [t1_xboole_1,t7_xboole_1],[],[2,7]).
proved(t12_xboole_1, xboole_1, [d10_xboole_0,t7_xboole_1,t9_xboole_1],[commutativity_k2_xboole_0,idempotence_k2_xboole_0],[2,13]).
proved(t13_xboole_1, xboole_1, [t10_xboole_1,t8_xboole_1],[commutativity_k2_xboole_0],[2,13]).
proved(t14_xboole_1, xboole_1, [d10_xboole_0,t7_xboole_1,t8_xboole_1],[commutativity_k2_xboole_0],[3,18]).
proved(t15_xboole_1, xboole_1, [d1_xboole_0,d2_xboole_0],[],[1,11]).
proved(t18_xboole_1, xboole_1, [t17_xboole_1,t1_xboole_1],[],[2,7]).
proved(t1_xboole_1, xboole_1, [d3_tarski],[],[2,13]).
proved(t20_xboole_1, xboole_1, [d10_xboole_0,t17_xboole_1,t19_xboole_1],[commutativity_k3_xboole_0],[3,19]).
proved(t21_xboole_1, xboole_1, [t10_xboole_1,t20_xboole_1],[commutativity_k2_xboole_0,reflexivity_r1_tarski],[1,9]).
proved(t22_xboole_1, xboole_1, [t14_xboole_1,t17_xboole_1],[commutativity_k3_xboole_0,reflexivity_r1_tarski],[1,11]).
proved(t24_xboole_1, xboole_1, [t22_xboole_1,t23_xboole_1,t4_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,idempotence_k3_xboole_0],[2,13]).
proved(t26_xboole_1, xboole_1, [t17_xboole_1,t19_xboole_1,t1_xboole_1],[commutativity_k3_xboole_0],[2,12]).
proved(t27_xboole_1, xboole_1, [t17_xboole_1,t19_xboole_1,t1_xboole_1],[commutativity_k3_xboole_0],[2,16]).
proved(t28_xboole_1, xboole_1, [t18_xboole_1,t1_xboole_1,t20_xboole_1,t2_xboole_1],[reflexivity_r1_tarski],[1,9]).
proved(t29_xboole_1, xboole_1, [t10_xboole_1,t17_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[1,9]).
proved(t2_xboole_1, xboole_1, [d3_tarski,d5_xboole_0,t7_boole,t9_tarski],[antisymmetry_r2_hidden,rc1_xboole_0],[2,9]).
proved(t30_xboole_1, xboole_1, [t12_xboole_1,t24_xboole_1],[commutativity_k3_xboole_0],[2,12]).
proved(t31_xboole_1, xboole_1, [t13_xboole_1,t17_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[1,8]).
proved(t32_xboole_1, xboole_1, [d10_xboole_0,d3_tarski,d4_xboole_0],[antisymmetry_r2_hidden],[3,25]).
proved(t35_xboole_1, xboole_1, [t1_xboole_1,t33_xboole_1,t34_xboole_1],[],[2,11]).
proved(t36_xboole_1, xboole_1, [t2_xboole_1,t34_xboole_1,t3_boole],[],[1,7]).
proved(t38_xboole_1, xboole_1, [d3_tarski,d4_xboole_0,t2_tarski,t7_boole,t8_boole],[fc1_xboole_0],[4,36]).
proved(t3_xboole_1, xboole_1, [d10_xboole_0,t2_xboole_1],[],[1,6]).
proved(t43_xboole_1, xboole_1, [t1_xboole_1,t37_xboole_1,t40_xboole_1,t41_xboole_1,t7_xboole_1],[],[4,16]).
proved(t44_xboole_1, xboole_1, [t11_xboole_1,t37_xboole_1,t40_xboole_1,t41_xboole_1],[],[3,14]).
proved(t45_xboole_1, xboole_1, [t12_xboole_1,t39_xboole_1],[],[1,7]).
proved(t46_xboole_1, xboole_1, [t1_boole,t21_xboole_1,t22_xboole_1,t40_xboole_1,t4_boole],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[4,19]).
proved(t48_xboole_1, xboole_1, [t17_xboole_1,t22_xboole_1,t38_xboole_1,t39_xboole_1,t3_boole,t40_xboole_1,t47_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[5,28]).
proved(t50_xboole_1, xboole_1, [t47_xboole_1,t49_xboole_1],[commutativity_k3_xboole_0],[2,9]).
proved(t51_xboole_1, xboole_1, [t22_xboole_1,t39_xboole_1,t47_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[2,12]).
proved(t53_xboole_1, xboole_1, [t41_xboole_1,t49_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,idempotence_k3_xboole_0],[0,8]).
proved(t56_xboole_1, xboole_1, [d8_xboole_0,t1_xboole_1],[antisymmetry_r2_xboole_0],[3,16]).
proved(t58_xboole_1, xboole_1, [d10_xboole_0,d8_xboole_0,t1_xboole_1],[],[2,25]).
proved(t5_xboole_1, xboole_1, [t4_xboole_1],[commutativity_k2_xboole_0,idempotence_k2_xboole_0],[3,15]).
proved(t60_xboole_1, xboole_1, [d8_xboole_0],[antisymmetry_r2_xboole_0],[1,9]).
proved(t61_xboole_1, xboole_1, [d8_xboole_0,t2_xboole_1],[],[1,6]).
proved(t62_xboole_1, xboole_1, [t2_xboole_1,t60_xboole_1],[],[1,5]).
proved(t63_xboole_1, xboole_1, [d3_tarski,t3_xboole_0],[],[2,14]).
proved(t64_xboole_1, xboole_1, [d7_xboole_0,t27_xboole_1,t3_xboole_1],[commutativity_k3_xboole_0],[3,18]).
proved(t65_xboole_1, xboole_1, [d7_xboole_0,t2_boole],[],[1,6]).
proved(t66_xboole_1, xboole_1, [d5_xboole_0,d7_xboole_0,t22_xboole_1,t65_xboole_1],[commutativity_k3_xboole_0,fc3_xboole_0,idempotence_k3_xboole_0,rc1_xboole_0,rc2_xboole_0],[4,28]).
proved(t67_xboole_1, xboole_1, [d7_xboole_0,t19_xboole_1,t3_xboole_1],[],[2,13]).
proved(t68_xboole_1, xboole_1, [d5_xboole_0,t67_xboole_1],[symmetry_r1_xboole_0],[2,13]).
proved(t69_xboole_1, xboole_1, [d5_xboole_0,d7_xboole_0,t28_xboole_1],[],[1,11]).
proved(t6_xboole_1, xboole_1, [t4_xboole_1],[commutativity_k2_xboole_0,idempotence_k2_xboole_0],[2,8]).
proved(t73_xboole_1, xboole_1, [d10_xboole_0,d1_xboole_0,d3_tarski,d7_xboole_0,t1_boole,t1_xboole_1,t3_xboole_0,t43_xboole_1,t44_xboole_1,t63_xboole_1,t7_xboole_1],[commutativity_k2_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,symmetry_r1_xboole_0],[5,60]).
proved(t74_xboole_1, xboole_1, [d7_xboole_0,t16_xboole_1,t17_xboole_1,t3_xboole_1],[],[3,14]).
proved(t75_xboole_1, xboole_1, [d7_xboole_0,t17_xboole_1,t69_xboole_1,t6_boole],[commutativity_k3_xboole_0],[2,14]).
proved(t76_xboole_1, xboole_1, [t17_xboole_1,t63_xboole_1,t74_xboole_1],[commutativity_k3_xboole_0],[2,11]).
proved(t77_xboole_1, xboole_1, [d7_xboole_0,t26_xboole_1,t28_xboole_1,t69_xboole_1,t6_boole,t74_xboole_1],[commutativity_k3_xboole_0,reflexivity_r1_tarski,symmetry_r1_xboole_0],[4,26]).
proved(t78_xboole_1, xboole_1, [d7_xboole_0,t1_boole,t23_xboole_1],[commutativity_k2_xboole_0],[2,11]).
proved(t79_xboole_1, xboole_1, [d7_xboole_0,t17_xboole_1,t1_boole,t34_xboole_1,t3_xboole_1,t41_xboole_1,t46_xboole_1,t49_xboole_1],[symmetry_r1_xboole_0],[4,22]).
proved(t80_xboole_1, xboole_1, [t47_xboole_1,t48_xboole_1,t74_xboole_1],[],[2,10]).
proved(t82_xboole_1, xboole_1, [t79_xboole_1,t80_xboole_1],[],[1,5]).
proved(t84_xboole_1, xboole_1, [t81_xboole_1,t83_xboole_1],[symmetry_r1_xboole_0],[1,11]).
proved(t85_xboole_1, xboole_1, [t49_xboole_1,t63_xboole_1,t83_xboole_1],[commutativity_k3_xboole_0,idempotence_k3_xboole_0,symmetry_r1_xboole_0],[3,16]).
proved(t86_xboole_1, xboole_1, [t33_xboole_1,t83_xboole_1],[],[2,9]).
proved(t87_xboole_1, xboole_1, [d7_xboole_0,t1_boole,t42_xboole_1,t51_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[2,17]).
proved(t88_xboole_1, xboole_1, [t40_xboole_1,t83_xboole_1],[],[1,7]).
proved(t89_xboole_1, xboole_1, [t2_boole,t3_boole,t48_xboole_1,t4_boole,t52_xboole_1,t54_xboole_1,t74_xboole_1,t83_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,symmetry_r1_xboole_0],[3,30]).
proved(t90_xboole_1, xboole_1, [t2_boole,t3_boole,t3_xboole_0,t47_xboole_1,t48_xboole_1,t4_xboole_0,t54_xboole_1,t7_boole,t81_xboole_1,t83_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,rc1_xboole_0,symmetry_r1_xboole_0],[4,36]).
proved(t95_xboole_1, xboole_1, [d6_xboole_0,t1_boole,t21_xboole_1,t22_xboole_1,t2_boole,t3_boole,t41_xboole_1,t42_xboole_1,t51_xboole_1,t52_xboole_1,t54_xboole_1,t55_xboole_1,t78_xboole_1,t83_xboole_1,t93_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,commutativity_k5_xboole_0,idempotence_k3_xboole_0],[4,55]).
proved(t96_xboole_1, xboole_1, [d6_xboole_0,t7_xboole_1],[commutativity_k2_xboole_0,commutativity_k5_xboole_0],[2,9]).
proved(t98_xboole_1, xboole_1, [d6_xboole_0,t1_boole,t22_xboole_1,t40_xboole_1,t46_xboole_1,t51_xboole_1,t55_xboole_1,t94_xboole_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0,commutativity_k5_xboole_0],[2,29]).
proved(t9_xboole_1, xboole_1, [t1_xboole_1,t7_xboole_1,t8_xboole_1],[commutativity_k2_xboole_0],[2,12]).
proved(t21_yellow14, yellow14, [d3_tarski,t37_zfmisc_1,t48_pre_topc],[],[3,15]).
proved(t6_yellow14, yellow14, [d3_pre_topc,t5_yellow14],[fc1_waybel12,fc2_pre_topc],[1,24]).
proved(t33_yellow18, yellow18, [d16_altcat_1,d9_yellow18,t23_altcat_1,t31_yellow18,t32_yellow18],[cc1_altcat_2,cc1_relat_1,dt_k7_altcat_1,existence_m1_subset_1,fc4_altcat_1,fc6_relat_1,fc8_relat_1,redefinition_k6_partfun1],[4,52]).
proved(t42_yellow18, yellow18, [t40_yellow18,t41_yellow18,t6_altcat_3],[cc1_altcat_2,cc2_yellow18,dt_l2_altcat_1],[1,45]).
proved(t48_yellow18, yellow18, [d40_functor0],[cc1_altcat_2,cc2_yellow18,dt_k4_yellow18,dt_k5_yellow18,dt_l2_altcat_1,fc8_yellow18],[2,50]).
proved(t6_yellow18, yellow18, [d3_yellow18],[existence_m1_subset_1],[1,12]).
proved(t2_yellow19, yellow19, [t18_yellow_1,t6_boole,t7_boole,t8_waybel_7],[dt_k3_yellow_1,fc7_yellow_1,fc8_yellow_1],[1,22]).
proved(t5_yellow19, yellow19, [d1_yellow19,t4_yellow19],[dt_k1_yellow19,fc1_yellow19,reflexivity_r1_tarski],[1,22]).
proved(t58_yellow_0, yellow_0, [d14_yellow_0],[],[1,17]).
proved(t69_yellow_0, yellow_0, [t17_yellow_0,t65_yellow_0],[cc1_yellow_0,cc2_lattice3,cc3_yellow_0,cc4_yellow_0,dt_l1_orders_2],[1,39]).
proved(t6_yellow_0, yellow_0, [d8_lattice3,d9_lattice3,t5_subset,t6_boole,t7_boole],[existence_m1_subset_1,rc2_finset_1],[4,32]).
proved(t26_yellow_2, yellow_2, [t53_yellow_0],[existence_m1_subset_1],[1,7]).
proved(t44_yellow_2, yellow_2, [d23_waybel_0,t1_yellow_1,t2_subset,t4_subset],[1,fc3_yellow_2],[2,28]).
proved(t28_yellow_5, yellow_5, [t4_waybel_1],[cc2_lattice3,commutativity_k12_lattice3,dt_k3_yellow_0,redefinition_k12_lattice3],[3,23]).
proved(t2_yellow_5, yellow_5, [t25_yellow_0],[cc2_lattice3,dt_l1_orders_2,redefinition_k12_lattice3,reflexivity_r3_orders_2],[3,27]).
proved(t65_yellow_5, yellow_5, [t83_waybel_1],[cc10_waybel_1,cc2_lattice3,cc8_waybel_1],[1,19]).
proved(t66_yellow_5, yellow_5, [t83_waybel_1],[cc10_waybel_1,cc2_lattice3,cc8_waybel_1],[1,19]).
proved(t67_yellow_5, yellow_5, [t4_waybel_1,t51_yellow_5],[cc1_lattice3,cc2_lattice3,cc8_waybel_1,commutativity_k13_lattice3,dt_k3_yellow_0,redefinition_k13_lattice3],[3,49]).
proved(t68_yellow_5, yellow_5, [d1_yellow_5,t37_yellow_5,t4_waybel_1,t5_waybel_1,t90_waybel_1],[cc10_waybel_1,cc1_lattice3,cc2_lattice3,cc8_waybel_1,commutativity_k12_lattice3,dt_k3_yellow_0,dt_k4_yellow_0,dt_k7_waybel_1,dt_l1_orders_2,existence_m1_subset_1,redefinition_k12_lattice3,redefinition_k13_lattice3],[6,94]).
proved(t6_yellow_5, yellow_5, [t2_waybel_1],[],[2,14]).
proved(t72_yellow_5, yellow_5, [d3_yellow_5,t17_lattice3,t18_lattice3,t51_yellow_5,t55_yellow_5,t58_yellow_5,t63_yellow_5,t90_waybel_1],[cc10_waybel_1,cc2_lattice3,cc8_waybel_1,commutativity_k13_lattice3,dt_k10_lattice3,dt_l1_orders_2,existence_m1_subset_1,redefinition_k12_lattice3,redefinition_k13_lattice3],[4,116]).
proved(t7_yellow_5, yellow_5, [t3_waybel_1],[],[2,14]).
proved(t22_yellow_7, yellow_7, [d6_lattice3,d7_lattice3,t21_yellow_7],[dt_k9_lattice3,dt_l1_orders_2,redefinition_k12_lattice3],[2,33]).
proved(t24_yellow_7, yellow_7, [d6_lattice3,d7_lattice3,t23_yellow_7],[dt_k9_lattice3,dt_l1_orders_2,redefinition_k13_lattice3],[2,33]).
proved(t25_yellow_9, yellow_9, [t22_yellow_9],[dt_m1_cantor_1],[1,17]).
proved(t28_yellow_9, yellow_9, [d1_tops_2,d3_tarski,d5_cantor_1,d5_pre_topc,t4_subset],[dt_l1_pre_topc,dt_m2_cantor_1,dt_u1_pre_topc,existence_m1_subset_1,reflexivity_r1_tarski],[4,30]).
proved(t44_yellow_9, yellow_9, [d4_yellow_9],[dt_l1_waybel_9],[1,8]).
proved(t45_yellow_9, yellow_9, [d4_yellow_9],[dt_l1_waybel_9,dt_m1_yellow_9],[2,19]).
proved(t46_yellow_9, yellow_9, [d4_yellow_9],[dt_l1_waybel_9,dt_m1_yellow_9],[2,23]).
proved(t102_zfmisc_1, zfmisc_1, [d2_zfmisc_1],[],[2,8]).
proved(t10_zfmisc_1, zfmisc_1, [d2_tarski,t69_enumset1,t8_zfmisc_1],[],[4,14]).
proved(t111_zfmisc_1, zfmisc_1, [d3_tarski],[],[2,12]).
proved(t112_zfmisc_1, zfmisc_1, [d1_xboole_0,d6_tarski,d7_xboole_0,t2_tarski,t46_zfmisc_1,t4_xboole_0],[fc2_xboole_0,idempotence_k2_xboole_0,idempotence_k3_xboole_0],[5,77]).
proved(t119_zfmisc_1, zfmisc_1, [t118_zfmisc_1,t1_xboole_1],[],[2,11]).
proved(t128_zfmisc_1, zfmisc_1, [d1_tarski,t106_zfmisc_1,t28_xboole_1,t51_zfmisc_1],[idempotence_k3_xboole_0,reflexivity_r1_tarski],[3,26]).
proved(t12_zfmisc_1, zfmisc_1, [d2_xboole_0,d3_tarski,t41_enumset1],[antisymmetry_r2_hidden,commutativity_k2_tarski],[4,12]).
proved(t130_zfmisc_1, zfmisc_1, [d1_xboole_0,t113_zfmisc_1,t37_xboole_1,t68_zfmisc_1],[reflexivity_r1_tarski],[3,22]).
proved(t137_zfmisc_1, zfmisc_1, [d3_xboole_0,t122_zfmisc_1,t123_zfmisc_1],[commutativity_k3_xboole_0],[2,19]).
proved(t139_zfmisc_1, zfmisc_1, [d1_tarski,d1_xboole_0,d2_tarski,d2_xboole_0,d3_tarski,d4_tarski,t113_zfmisc_1,t117_zfmisc_1,t118_zfmisc_1,t135_zfmisc_1,t138_zfmisc_1,t17_xboole_1,t1_xboole_1,t28_xboole_1,t7_tarski],[antisymmetry_r2_hidden,commutativity_k2_tarski,commutativity_k3_xboole_0,fc1_xboole_0,idempotence_k2_xboole_0,reflexivity_r1_tarski],[8,83]).
proved(t13_zfmisc_1, zfmisc_1, [d1_tarski,d2_tarski,t41_enumset1],[idempotence_k3_xboole_0],[3,14]).
proved(t14_zfmisc_1, zfmisc_1, [t41_enumset1,t42_enumset1,t4_xboole_1],[commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0],[3,14]).
proved(t16_zfmisc_1, zfmisc_1, [d1_tarski,d1_xboole_0,d7_xboole_0,t69_enumset1,t8_zfmisc_1],[idempotence_k3_xboole_0],[4,11]).
proved(t18_zfmisc_1, zfmisc_1, [t22_xboole_1,t41_enumset1,t8_zfmisc_1],[commutativity_k2_xboole_0,commutativity_k3_xboole_0],[2,13]).
proved(t19_zfmisc_1, zfmisc_1, [d2_xboole_0,d3_xboole_0,t41_enumset1],[antisymmetry_r2_hidden,commutativity_k2_tarski],[2,17]).
proved(t21_zfmisc_1, zfmisc_1, [d1_tarski,d1_xboole_0,t20_zfmisc_1,t3_boole],[],[3,11]).
proved(t22_zfmisc_1, zfmisc_1, [t41_enumset1,t46_xboole_1],[commutativity_k2_tarski,commutativity_k2_xboole_0],[2,9]).
proved(t24_zfmisc_1, zfmisc_1, [t6_zfmisc_1],[],[1,5]).
proved(t25_zfmisc_1, zfmisc_1, [d1_tarski,d2_tarski,d3_tarski,t69_enumset1,t8_zfmisc_1],[antisymmetry_r2_hidden,commutativity_k2_tarski],[6,18]).
proved(t26_zfmisc_1, zfmisc_1, [d1_tarski,d2_tarski,d3_tarski,t69_enumset1,t8_zfmisc_1],[antisymmetry_r2_hidden,commutativity_k2_tarski],[4,15]).
proved(t27_zfmisc_1, zfmisc_1, [t26_zfmisc_1,t69_enumset1],[commutativity_k2_tarski],[2,13]).
proved(t28_zfmisc_1, zfmisc_1, [d2_tarski,d3_tarski,t69_enumset1,t8_zfmisc_1],[commutativity_k2_tarski],[6,19]).
proved(t2_zfmisc_1, zfmisc_1, [d1_xboole_0,d4_tarski],[antisymmetry_r2_hidden],[4,13]).
proved(t43_zfmisc_1, zfmisc_1, [d10_xboole_0,d1_tarski,d1_zfmisc_1,d2_xboole_0,d3_tarski,t15_xboole_1,t1_boole,t41_zfmisc_1],[antisymmetry_r2_hidden,commutativity_k2_xboole_0,idempotence_k2_xboole_0,reflexivity_r1_tarski],[10,113]).
proved(t44_zfmisc_1, zfmisc_1, [t39_zfmisc_1,t43_zfmisc_1,t7_xboole_1],[commutativity_k2_xboole_0],[2,21]).
proved(t47_zfmisc_1, zfmisc_1, [d10_xboole_0,t38_zfmisc_1,t7_xboole_1],[commutativity_k2_xboole_0],[2,13]).
proved(t48_zfmisc_1, zfmisc_1, [t41_enumset1,t46_zfmisc_1,t4_xboole_1],[commutativity_k2_tarski,commutativity_k2_xboole_0],[3,18]).
proved(t50_zfmisc_1, zfmisc_1, [d1_xboole_0,t15_xboole_1,t1_boole,t41_enumset1,t49_zfmisc_1],[commutativity_k2_tarski,commutativity_k2_xboole_0],[2,19]).
proved(t53_zfmisc_1, zfmisc_1, [d10_xboole_0,t16_xboole_1,t17_xboole_1,t19_zfmisc_1,t38_zfmisc_1,t41_enumset1,t52_zfmisc_1],[commutativity_k2_tarski,commutativity_k3_xboole_0,idempotence_k2_xboole_0],[6,37]).
proved(t55_zfmisc_1, zfmisc_1, [t38_zfmisc_1,t3_xboole_0],[reflexivity_r1_tarski],[2,9]).
proved(t59_zfmisc_1, zfmisc_1, [d1_tarski,d3_xboole_0,t38_zfmisc_1,t69_enumset1,t8_zfmisc_1],[commutativity_k2_tarski,commutativity_k3_xboole_0,reflexivity_r1_tarski],[2,20]).
proved(t63_zfmisc_1, zfmisc_1, [d3_xboole_0,t38_zfmisc_1],[commutativity_k3_xboole_0,reflexivity_r1_tarski],[2,13]).
proved(t66_zfmisc_1, zfmisc_1, [t37_xboole_1,t39_zfmisc_1],[],[1,8]).
proved(t6_zfmisc_1, zfmisc_1, [d1_tarski,d3_tarski,t28_xboole_1],[reflexivity_r1_tarski],[4,14]).
proved(t73_zfmisc_1, zfmisc_1, [d1_xboole_0,d7_xboole_0,t37_xboole_1,t38_zfmisc_1,t3_xboole_0,t4_xboole_0,t50_zfmisc_1,t68_zfmisc_1,t70_zfmisc_1,t72_zfmisc_1,t83_xboole_1],[idempotence_k2_xboole_0,reflexivity_r1_tarski],[3,43]).
proved(t75_zfmisc_1, zfmisc_1, [d1_xboole_0,d3_tarski,t22_zfmisc_1,t37_xboole_1,t42_zfmisc_1,t83_xboole_1],[commutativity_k2_tarski,idempotence_k3_xboole_0,reflexivity_r1_tarski],[4,63]).
proved(t80_zfmisc_1, zfmisc_1, [d1_zfmisc_1,t37_zfmisc_1],[reflexivity_r1_tarski],[2,8]).
proved(t81_zfmisc_1, zfmisc_1, [t79_zfmisc_1,t7_xboole_1,t8_xboole_1],[commutativity_k2_xboole_0],[3,12]).
proved(t8_zfmisc_1, zfmisc_1, [d1_tarski,d2_tarski],[idempotence_k2_xboole_0],[3,12]).
proved(t9_zfmisc_1, zfmisc_1, [t8_zfmisc_1],[commutativity_k2_tarski],[2,9]).
proved( t39_aff_1, aff_1, [ t4_subset, d2_aff_1, t38_aff_1],[ redefinition_k2_aff_1],[]).
proved( t48_aff_1, aff_1, [ t46_aff_1, t11_aff_1],[],[]).
proved( t50_aff_1, aff_1, [ d3_aff_1, d5_aff_1, t40_aff_1],[],[]).
proved( t60_aff_1, aff_1, [ t4_subset, t13_aff_1, t15_aff_1, d1_aff_1, t46_aff_1, t48_aff_1, t49_aff_1],[],[]).
proved( t62_aff_1, aff_1, [ t4_subset, t36_aff_1, t26_aff_1, t14_aff_1, d2_aff_1, t13_aff_1, t38_aff_1, d1_aff_1],[ commutativity_k2_aff_1, redefinition_k2_aff_1, dt_k2_aff_1],[]).
proved( t65_aff_1, aff_1, [ t4_subset, t36_aff_1, t12_aff_1, t38_aff_1],[],[]).
proved( t32_aff_4, aff_4, [ t2_subset, t4_subset, t7_boole, d3_aff_4, t50_aff_1, t31_aff_1, t31_aff_4],[ symmetry_r4_aff_1, existence_m1_subset_1, redefinition_r4_aff_1],[]).
proved( t4_aff_4, aff_4, [ t46_aff_1, t13_aff_1, t48_aff_1],[],[]).
proved( t5_aff_4, aff_4, [ t48_aff_1, t67_aff_1],[],[]).
proved( t69_aff_4, aff_4, [ t2_subset, t4_subset, t7_boole, d6_aff_4, t67_aff_4, t34_aff_4],[ existence_m1_subset_1],[]).
proved( t6_aff_4, aff_4, [ t40_aff_1, t48_aff_1, t13_aff_1, t45_aff_1],[],[]).
proved( t12_afproj, afproj, [ t40_aff_4, t11_afproj],[ symmetry_r4_aff_1],[]).
proved( t22_afproj, afproj, [ t20_afproj, t21_afproj],[],[]).
proved( t25_afproj, afproj, [ d5_tarski, t23_afproj, t24_afproj],[ commutativity_k2_tarski],[]).
proved( t4_afproj, afproj, [ t2_subset, t3_subset, t48_aff_4],[ fc1_struct_0, reflexivity_r1_tarski, dt_l1_analoaf],[]).
proved( t2_alg_1, alg_1, [ t3_subset, d7_unialg_2, t7_unialg_2],[ fc1_struct_0, reflexivity_r1_tarski, redefinition_m2_unialg_2, dt_k1_unialg_2, dt_l1_unialg_1, dt_u1_unialg_1],[]).
proved( t15_algspec1, algspec1, [ d1_algspec1, t103_relat_1],[ reflexivity_r1_tarski, reflexivity_r6_pboole, existence_m1_pboole, redefinition_k6_partfun1, dt_k1_algspec1, dt_k7_relat_1, fc4_funct_1],[]).
proved( t17_altcat_3, altcat_3, [ t16_altcat_3, t15_altcat_3, t5_altcat_3],[],[]).
proved( t6_altcat_3, altcat_3, [ t2_altcat_3, d5_altcat_3, t5_altcat_3],[],[]).
proved( t34_altcat_4, altcat_4, [ d3_realset1, d13_altcat_2, t98_relat_1, d3_pboole],[ dt_l2_altcat_1, dt_m1_altcat_2, dt_m1_pboole, dt_u1_altcat_1],[]).
proved( t3_altcat_4, altcat_4, [ t2_altcat_3, d5_altcat_3, t3_altcat_3, t5_altcat_3],[ dt_k1_altcat_3],[]).
proved( t7_altcat_4, altcat_4, [ d12_altcat_3],[ existence_m1_subset_1],[]).
proved( t22_arytm_0, arytm_0, [ d5_arytm_0, t15_arytm_0, t21_arytm_0],[ dt_k2_arytm_0, dt_k4_arytm_0],[]).
proved( t23_arytm_0, arytm_0, [ t15_arytm_0, t14_arytm_0, t22_arytm_0, t17_arytm_0],[ commutativity_k2_arytm_0, dt_k2_arytm_0, dt_k3_arytm_0],[]).
proved( t15_arytm_1, arytm_1, [ t12_arytm_1],[ commutativity_k7_arytm_2, dt_k1_arytm_1],[]).
proved( t20_arytm_1, arytm_1, [ t13_arytm_1, t20_arytm_2, d2_arytm_1, t3_arytm_1],[ dt_k7_arytm_2],[]).
proved( t22_arytm_1, arytm_1, [ t21_arytm_1, t20_arytm_1],[ commutativity_k7_arytm_2, dt_k1_arytm_1],[]).
proved( t23_arytm_1, arytm_1, [ t21_arytm_1],[ commutativity_k7_arytm_2],[]).
proved( t2_arytm_1, arytm_1, [ t1_subset, t4_arytm_2, t13_arytm_2, t15_arytm_2, t16_arytm_2, t21_arytm_2],[ commutativity_k8_arytm_2, redefinition_k12_arytm_3],[]).
proved( t11_arytm_3, arytm_3, [ t1_subset, d4_ordinal2, t55_ordinal2, t9_arytm_3, d2_arytm_3, t52_ordinal2, d7_ordinal3, d21_ordinal2, d8_ordinal3, t44_ordinal2, t65_ordinal3, t45_ordinal2, t3_arytm_3, t81_ordinal3, t78_ordinal3],[ cc3_arytm_3, commutativity_k2_arytm_3, redefinition_k2_arytm_3, dt_k4_ordinal2, dt_k6_ordinal3, fc1_arytm_3, fc5_arytm_3, fc6_arytm_3, cc2_arytm_3, fc2_ordinal1, cc3_ordinal1],[]).
proved( t15_arytm_3, arytm_3, [ t1_subset, t3_subset, t6_boole, d4_ordinal2, t52_ordinal2, t56_ordinal2, t44_ordinal2, t10_ordinal3, t55_ordinal2, t22_ordinal1, t39_ordinal3, t22_ordinal3, t10_ordinal1, t27_ordinal3, t7_ordinal1, t45_ordinal2, t53_ordinal2, t3_xboole_1, t59_ordinal2, d2_arytm_3],[ cc1_arytm_3, connectedness_r1_ordinal1, redefinition_r1_ordinal1, dt_k14_ordinal2, dt_k15_ordinal2, dt_k4_ordinal2, fc2_ordinal1, fc3_ordinal1, cc1_ordinal1, rc2_subset_1],[]).
proved( t1_arytm_3, arytm_3, [ t5_subset, t1_subset, t6_boole, d21_ordinal2, t44_ordinal2, t27_ordinal3, t65_ordinal3, t23_ordinal1, t19_ordinal1, t66_ordinal3, t24_ordinal1],[ cc1_arytm_3, fc2_ordinal1, fc1_ordinal2, rc2_subset_1],[]).
proved( t32_arytm_3, arytm_3, [ t1_subset, t6_boole, d4_ordinal2, d5_arytm_3, t31_arytm_3, t84_ordinal3, t83_ordinal3, t56_ordinal2, t6_arytm_3, t81_ordinal3, t11_arytm_3, t25_arytm_3, t29_arytm_3, t27_arytm_3, t24_arytm_3, d1_arytm_3, t14_arytm_3, d2_arytm_3, t52_ordinal2, t41_ordinal3, t2_arytm_3, t55_ordinal2, d7_ordinal3, t45_ordinal2, t42_ordinal1, t53_ordinal2],[ commutativity_k2_arytm_3, symmetry_r1_arytm_3, reflexivity_r2_arytm_3, redefinition_k2_arytm_3, dt_k14_ordinal2, dt_k15_ordinal2, dt_k4_ordinal2, dt_k5_arytm_3, fc1_arytm_3, fc3_arytm_3, fc5_arytm_3, cc2_arytm_3, cc3_arytm_3, fc1_ordinal1, fc2_ordinal1, fc3_ordinal1, cc3_ordinal1, rc1_ordinal2],[]).
proved( t46_arytm_3, arytm_3, [ t1_subset, d4_ordinal2, d5_arytm_3, d9_arytm_3, t56_ordinal2, t31_arytm_3, d4_arytm_3, t11_arytm_3, t84_ordinal3, d2_arytm_3, t52_ordinal2, t2_arytm_3, t44_ordinal2, t55_ordinal2, t45_ordinal2, t53_ordinal2],[ commutativity_k4_arytm_3, dt_k15_ordinal2, dt_k4_ordinal2, dt_k6_ordinal3, fc1_arytm_3, fc6_arytm_3, cc2_arytm_3, fc2_ordinal1, fc3_ordinal1, cc3_ordinal1],[]).
proved( t62_arytm_3, arytm_3, [ t60_arytm_3, t58_arytm_3, t59_arytm_3],[ commutativity_k11_arytm_3, redefinition_k12_arytm_3, redefinition_k13_arytm_3, dt_k11_arytm_3, dt_k13_arytm_3],[]).
proved( t85_arytm_3, arytm_3, [ d12_arytm_3],[ dt_k10_arytm_3],[]).
proved( t92_arytm_3, arytm_3, [ t56_arytm_3, t69_arytm_3],[ commutativity_k10_arytm_3, redefinition_k12_arytm_3, dt_k12_arytm_3],[]).
proved( t93_arytm_3, arytm_3, [ t69_arytm_3, d12_arytm_3, t56_arytm_3, t89_arytm_3, t57_arytm_3, t73_arytm_3],[ commutativity_k10_arytm_3, redefinition_k12_arytm_3, dt_k10_arytm_3, dt_k12_arytm_3],[]).
proved( t39_autalg_1, autalg_1, [ d2_cqc_lang, t9_msuhom_1, d1_autalg_1, d3_msuhom_1],[ redefinition_k2_pre_circ, redefinition_m2_relset_1, dt_k10_msualg_1, dt_k1_autalg_1, dt_k3_msuhom_1, dt_k7_msualg_1, fc2_msualg_1, fc3_msualg_1],[]).
proved( t26_autgroup, autgroup, [ t23_autgroup, d6_group_1],[ dt_k3_group_1],[]).
proved( t29_autgroup, autgroup, [ t23_autgroup, d5_group_1],[ dt_k2_group_1, cc1_group_1],[]).
proved( t5_autgroup, autgroup, [ d1_autgroup, d13_group_6, d14_group_6, t70_group_6],[ dt_k1_autgroup],[]).
proved( t6_autgroup, autgroup, [ t2_tarski, t2_subset, t5_subset, t6_boole, t7_boole, d1_autgroup, t5_autgroup, t72_group_6, d12_funct_1],[ cc1_relset_1, existence_m1_subset_1, redefinition_k2_funct_2, redefinition_m2_fraenkel, dt_k1_autgroup, dt_k2_funct_1, dt_k2_funct_2, dt_k2_group_1, dt_l1_group_1, dt_m1_fraenkel, dt_m2_relset_1, fc1_struct_0, rc2_funct_2, fc1_xboole_0],[]).
proved( t49_binari_5, binari_5, [ d1_bvfunc_1, t45_binari_5, t44_binari_5, t43_binari_5, t42_binari_5, t39_binari_5, t38_binari_5, t37_binari_5, t36_binari_5, t35_binari_5, t34_binari_5, t48_binari_5, t47_binari_5, t25_binari_5, t41_margrel1, t39_margrel1],[ cc1_margrel1, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc1_binarith, fc1_bvfunc_1],[]).
proved( t8_binari_5, binari_5, [ t49_margrel1, t50_margrel1, t41_margrel1, d16_margrel1, t46_margrel1, t39_margrel1, t7_binarith, t19_binarith, t1_binari_5, t3_binari_5, t5_binari_5],[ cc1_margrel1, commutativity_k10_margrel1, commutativity_k1_binari_5, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc5_margrel1],[]).
proved( t21_binari_6, binari_6, [ d13_margrel1, d14_margrel1, t26_binarith, t35_binarith, t25_binarith, t47_margrel1, t9_binarith, d16_margrel1, t49_margrel1, t50_margrel1, t10_binarith, t7_binarith, t20_binarith, t18_binarith, t19_binarith, t16_binari_6],[ cc1_margrel1, commutativity_k10_margrel1, commutativity_k1_binarith, commutativity_k2_binarith, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc5_margrel1, fc1_binarith, fc2_binarith],[]).
proved( t24_binari_6, binari_6, [ d13_margrel1, d14_margrel1, t7_binarith, t18_binarith, t41_margrel1, t19_binarith, d1_bvfunc_1, t16_binarith, t50_margrel1, d16_margrel1, t39_margrel1, d2_binari_5],[ cc1_margrel1, commutativity_k10_margrel1, commutativity_k1_binarith, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1],[]).
proved( t25_binari_6, binari_6, [ t20_binarith, t21_binarith],[],[]).
proved( t30_binari_6, binari_6, [ t21_binari_6, d1_bvfunc_1],[ dt_k9_margrel1, fc2_binarith],[]).
proved( t31_binari_6, binari_6, [ d13_margrel1, d14_margrel1, d1_bvfunc_1, t16_binarith, t50_margrel1, t10_binarith, t9_binarith, t18_binarith, t7_binarith, t19_binarith, t41_margrel1, t24_binari_5, d16_margrel1, t46_margrel1, t39_margrel1, t45_margrel1],[ cc1_margrel1, commutativity_k1_binarith, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc1_binarith, fc2_bvfunc_1],[]).
proved( t40_binari_6, binari_6, [ d13_margrel1, d14_margrel1, t10_binarith, t23_binarith, t9_binarith, t50_margrel1, t41_margrel1, t7_binarith, d1_bvfunc_1, d2_binari_5, t36_binari_5, t28_binari_5, t11_binari_5, t12_binari_5],[ cc1_margrel1, commutativity_k10_margrel1, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc5_margrel1, fc1_binarith],[]).
proved( t41_binari_6, binari_6, [ d1_binari_5, d13_margrel1, d14_margrel1, t9_binarith, t16_binarith, t18_binarith, t7_binarith, t19_binarith, t25_binarith, d1_bvfunc_1, t23_binarith, d16_margrel1, t46_margrel1],[ cc1_margrel1, commutativity_k1_binarith, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k8_margrel1],[]).
proved( t43_binari_6, binari_6, [ d1_binari_5, t9_binarith, t23_binarith, d1_bvfunc_1],[ involutiveness_k9_margrel1, dt_k9_margrel1, fc5_margrel1],[]).
proved( t45_binari_6, binari_6, [ t6_binari_5, t16_binarith],[],[]).
proved( t47_binari_6, binari_6, [ d1_binari_5, d14_margrel1, t41_binari_6, t23_binarith, t22_binarith, t50_margrel1, t18_binarith, t12_binari_6],[ cc1_margrel1, involutiveness_k9_margrel1, dt_k8_margrel1, dt_k9_margrel1, fc1_binari_5],[]).
proved( t51_binari_6, binari_6, [ d2_binari_5, t21_binari_6],[ fc2_binarith],[]).
proved( t52_binari_6, binari_6, [ d2_binari_5, t22_binari_6],[ fc2_bvfunc_1],[]).
proved( t53_binari_6, binari_6, [ d2_binari_5, t52_margrel1, t10_binarith, d1_binari_5],[ commutativity_k10_margrel1, commutativity_k3_binari_5, involutiveness_k9_margrel1, dt_k9_margrel1, fc5_margrel1],[]).
proved( t56_binari_6, binari_6, [ t21_binarith, t10_binarith, t20_binarith, d2_binari_5],[ fc1_binarith],[]).
proved( t61_binari_6, binari_6, [ d13_margrel1, t59_binari_6, t54_binari_6, t46_margrel1, t22_binarith, t7_binarith],[ cc1_margrel1, commutativity_k1_binarith, involutiveness_k9_margrel1, dt_k7_margrel1, dt_k9_margrel1, fc2_bvfunc_1, fc2_binari_5],[]).
proved( t68_binari_6, binari_6, [ t4_binari_6, t16_binarith, t52_margrel1],[ dt_k9_margrel1],[]).
proved( t76_binari_6, binari_6, [ t11_binari_6],[ dt_k9_margrel1],[]).
proved( t79_binari_6, binari_6, [ d2_binari_5, t56_binari_6, t10_binarith],[ fc1_binarith],[]).
proved( t82_binari_6, binari_6, [ t23_binari_6, t21_binarith],[ dt_k9_margrel1],[]).
proved( t86_binari_6, binari_6, [ d2_bvfunc_1, d2_binarith],[ commutativity_k10_margrel1, commutativity_k2_binarith, involutiveness_k9_margrel1, dt_k9_margrel1, fc2_binarith],[]).
proved( t14_binop_1, binop_1, [ d2_binop_1, d7_binop_1, d5_binop_1, d6_binop_1],[],[]).
proved( t15_binop_1, binop_1, [ d2_binop_1, t14_binop_1, d7_binop_1, d5_binop_1, d6_binop_1],[],[]).
proved( t16_binop_1, binop_1, [ t15_binop_1, t14_binop_1, d7_binop_1],[],[]).
proved( t18_binop_1, binop_1, [ t11_binop_1],[],[]).
proved( t28_binop_1, binop_1, [ t27_binop_1, t26_binop_1, d11_binop_1],[],[]).
proved( t26_boolealg, boolealg, [ t25_boolealg, t12_boolealg],[ symmetry_r1_boolealg, dt_k4_lattices, dt_k5_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t31_boolealg, boolealg, [ d4_boolealg, t27_lattices, t30_boolealg, t40_lattices, t23_lattices, t26_lattices],[ commutativity_k4_lattices, symmetry_r3_boolealg, redefinition_k4_lattices, redefinition_r3_boolealg, redefinition_r3_lattices, dt_k2_lattices, dt_k4_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t32_boolealg, boolealg, [ d1_boolealg, t31_boolealg],[ dt_k7_lattices],[]).
proved( t35_boolealg, boolealg, [ t31_boolealg],[ redefinition_r3_boolealg, dt_k4_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t37_boolealg, boolealg, [ t35_boolealg, d4_boolealg],[ commutativity_k4_lattices, dt_k4_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t43_boolealg, boolealg, [ t39_lattices, t47_lattices, t1_filter_0, t41_lattices, t53_lattices],[ commutativity_k3_lattices, dt_k3_lattices, dt_k5_lattices, dt_l3_lattices, cc1_lattices, cc5_lattices],[]).
proved( t46_boolealg, boolealg, [ d1_boolealg, t44_boolealg, t39_lattices, t43_lattices, t52_lattices, t41_boolealg, t38_boolealg, t7_boolealg, d3_boolealg],[ commutativity_k4_lattices, reflexivity_r1_boolealg, dt_k1_boolealg, dt_k6_lattices, dt_k7_lattices, dt_l3_lattices, cc1_lattices, cc5_lattices],[]).
proved( t55_boolealg, boolealg, [ d1_boolealg, t50_boolealg, t49_lattices],[ dt_k7_lattices],[]).
proved( t6_boolealg, boolealg, [ d1_boolealg, t2_filter_0],[ dt_k7_lattices],[]).
proved( t73_boolealg, boolealg, [ d1_boolealg, t47_lattices, d4_boolealg, t56_boolealg, t49_boolealg, t46_boolealg, t50_lattices, t39_lattices, t31_lattices, t43_lattices, t49_lattices, t48_lattices, t51_lattices, t21_lattices],[ commutativity_k3_lattices, commutativity_k4_lattices, redefinition_k4_lattices, redefinition_r3_lattices, dt_k1_boolealg, dt_k3_lattices, dt_k4_lattices, dt_k6_lattices, dt_k7_lattices, dt_l3_lattices, cc1_lattices, cc5_lattices],[]).
proved( t75_boolealg, boolealg, [ d1_boolealg, t74_boolealg, t47_lattices, t49_lattices, t51_lattices, d4_boolealg, d9_lattices, t21_lattices, t23_lattices, d8_lattices, t52_lattices],[ commutativity_k3_lattices, redefinition_k3_lattices, redefinition_r3_lattices, dt_k1_boolealg, dt_k4_lattices, dt_k7_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t17_bvfunc11, bvfunc11, [ t20_bvfunc_2, t17_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t18_bvfunc11, bvfunc11, [ t15_bvfunc11, t21_bvfunc_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t20_bvfunc11, bvfunc11, [ t16_bvfunc11, t17_bvfunc11],[],[]).
proved( t21_bvfunc11, bvfunc11, [ t20_bvfunc_2, t21_bvfunc_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t22_bvfunc11, bvfunc11, [ t20_bvfunc_2, t21_bvfunc_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t23_bvfunc11, bvfunc11, [ t20_bvfunc_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t25_bvfunc11, bvfunc11, [ t13_partit_2, t18_bvfunc_4],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t26_bvfunc11, bvfunc11, [ t8_bvfunc11, t18_bvfunc_4],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t14_bvfunc13, bvfunc13, [ t4_bvfunc13, t20_bvfunc_2, t21_bvfunc_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t15_bvfunc13, bvfunc13, [ t20_bvfunc_2, t7_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t16_bvfunc13, bvfunc13, [ t21_bvfunc_2, t3_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t17_bvfunc13, bvfunc13, [ t20_bvfunc_2, t14_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t18_bvfunc13, bvfunc13, [ t20_bvfunc_2, t15_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t1_bvfunc13, bvfunc13, [ t17_bvfunc11, t20_bvfunc_2, t8_bvfunc11, t4_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, reflexivity_r1_bvfunc_1, redefinition_k1_bvfunc_2, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k7_bvfunc_2, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t21_bvfunc13, bvfunc13, [ t21_bvfunc_2, t10_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t22_bvfunc13, bvfunc13, [ t20_bvfunc_2, t11_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t23_bvfunc13, bvfunc13, [ t21_bvfunc_2, t17_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t24_bvfunc13, bvfunc13, [ t20_bvfunc_2, t18_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t25_bvfunc13, bvfunc13, [ t20_bvfunc_2, t16_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t27_bvfunc13, bvfunc13, [ t20_bvfunc_2, t21_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t30_bvfunc13, bvfunc13, [ t21_bvfunc_2, t20_bvfunc_2, t19_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t34_bvfunc13, bvfunc13, [ t20_bvfunc_2, t18_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t35_bvfunc13, bvfunc13, [ t20_bvfunc_2, t18_bvfunc11],[ redefinition_k1_bvfunc_2],[]).
proved( t36_bvfunc13, bvfunc13, [ t21_bvfunc_2, t18_bvfunc13, t21_bvfunc11],[ redefinition_k1_bvfunc_2],[]).
proved( t37_bvfunc13, bvfunc13, [ t20_bvfunc_2, t3_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t40_bvfunc13, bvfunc13, [ t21_bvfunc_2, t28_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t41_bvfunc13, bvfunc13, [ t21_bvfunc_2, t17_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t42_bvfunc13, bvfunc13, [ t20_bvfunc_2, t36_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t43_bvfunc13, bvfunc13, [ t21_bvfunc_2, t20_bvfunc_2, t19_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t46_bvfunc13, bvfunc13, [ t21_bvfunc_2, t22_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t47_bvfunc13, bvfunc13, [ t21_bvfunc_2, t17_partit_2],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t48_bvfunc13, bvfunc13, [ t21_bvfunc11, t9_bvfunc13],[],[]).
proved( t4_bvfunc13, bvfunc13, [ t8_bvfunc11, t19_bvfunc11],[ reflexivity_r1_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t50_bvfunc13, bvfunc13, [ t21_bvfunc_2, t21_bvfunc11, t40_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t51_bvfunc13, bvfunc13, [ t21_bvfunc_2, t18_partit_2],[ reflexivity_r1_bvfunc_1, redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t52_bvfunc13, bvfunc13, [ t20_bvfunc_2, t16_bvfunc11],[ redefinition_k1_bvfunc_2],[]).
proved( t53_bvfunc13, bvfunc13, [ t20_bvfunc_2, t35_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t54_bvfunc13, bvfunc13, [ t21_bvfunc11, t18_bvfunc13],[],[]).
proved( t55_bvfunc13, bvfunc13, [ t21_bvfunc_2, t19_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t57_bvfunc13, bvfunc13, [ t21_bvfunc_2, t20_bvfunc_2, t45_bvfunc13],[ redefinition_k1_bvfunc_2],[]).
proved( t58_bvfunc13, bvfunc13, [ t21_bvfunc_2, t22_bvfunc13],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t59_bvfunc13, bvfunc13, [ t47_bvfunc13],[],[]).
proved( t62_bvfunc13, bvfunc13, [ t21_bvfunc_2, t20_bvfunc_2, t18_partit_2, t7_bvfunc13, t17_bvfunc11],[ redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t7_bvfunc13, bvfunc13, [ t6_bvfunc13, t21_bvfunc_2],[ redefinition_k1_bvfunc_2],[]).
proved( t9_bvfunc13, bvfunc13, [ t19_partit_2, t11_partit_2],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t6_bvfunc14, bvfunc14, [ t2_subset, t5_subset, t4_bvfunc14, t100_enumset1, d6_eqrel_1],[ existence_m1_subset_1, redefinition_k5_setfam_1, dt_k5_setfam_1, dt_m1_eqrel_1, fc1_xboole_0, cc1_eqrel_1],[]).
proved( t31_bvfunc24, bvfunc24, [ t30_bvfunc24, t4_xboole_1, t50_enumset1, t110_enumset1, t47_enumset1, t71_enumset1, t112_enumset1, t69_enumset1, t70_enumset1],[],[]).
proved( t33_bvfunc24, bvfunc24, [ t28_bvfunc24, t57_enumset1, t4_xboole_1, t48_enumset1, t44_enumset1, t42_enumset1, t70_enumset1, t71_enumset1, t49_enumset1],[],[]).
proved( t13_bvfunc25, bvfunc25, [ t9_bvfunc_4, t12_bvfunc_1, t5_bvfunc_4],[ commutativity_k6_valuat_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t20_bvfunc25, bvfunc25, [ t8_bvfunc_4, t6_bvfunc_4, t4_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t16_bvfunc26, bvfunc26, [ t1_bvfunc26, t10_bvfunc26, t6_bvfunc_1],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t20_bvfunc26, bvfunc26, [ t14_bvfunc26, t6_bvfunc_4, t13_bvfunc_1],[ commutativity_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t22_bvfunc26, bvfunc26, [ t1_bvfunc26, t6_bvfunc_1, t7_bvfunc26],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k3_bvfunc26, fc3_margrel1],[]).
proved( t25_bvfunc26, bvfunc26, [ t1_bvfunc26, t17_bvfunc_1, t4_bvfunc_1, t13_bvfunc26, t24_bvfunc26, t8_bvfunc_4, t6_bvfunc_1, t9_bvfunc_1, t5_bvfunc_4, t8_bvfunc_1, t5_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_k5_valuat_1, dt_k6_valuat_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t26_bvfunc26, bvfunc26, [ t13_bvfunc_1, t5_bvfunc_1, t2_bvfunc26, t11_bvfunc_1, t10_bvfunc_1],[ commutativity_k4_bvfunc26, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t27_bvfunc26, bvfunc26, [ t2_bvfunc26, t4_bvfunc_1, t8_bvfunc_4, t7_bvfunc25, t14_bvfunc_7, t10_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k4_bvfunc26, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k15_bvfunc_1, dt_k1_fraenkel, dt_k4_bvfunc26, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t30_bvfunc26, bvfunc26, [ t2_bvfunc26, t14_bvfunc26, t4_bvfunc_1, t11_bvfunc_1, t8_bvfunc_4, t10_bvfunc_1],[ dt_k6_bvfunc_1, dt_m1_fraenkel, cc1_fraenkel, fc4_bvfunc_1, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k5_valuat_1, dt_k8_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t31_bvfunc26, bvfunc26, [ t2_bvfunc26, t5_bvfunc_1, t4_bvfunc_1, t10_bvfunc_1, t6_bvfunc_4],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k4_bvfunc26, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t34_bvfunc26, bvfunc26, [ t2_bvfunc26, t11_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k8_bvfunc_1, fc3_margrel1],[]).
proved( t39_bvfunc26, bvfunc26, [ t2_bvfunc26, t38_bvfunc26, t1_bvfunc26, t4_bvfunc_1, t17_bvfunc_1, t14_bvfunc_1, t8_bvfunc_4, t10_bvfunc_1, t15_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k3_bvfunc26, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k6_valuat_1, dt_k8_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t40_bvfunc26, bvfunc26, [ t2_bvfunc26, t34_bvfunc26, t11_bvfunc_1, t10_bvfunc_1],[ commutativity_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k8_bvfunc_1, fc3_margrel1],[]).
proved( t42_bvfunc26, bvfunc26, [ t2_bvfunc26, t10_bvfunc_1, t5_bvfunc_1, t1_bvfunc26, t13_bvfunc_1, t4_bvfunc_1, t6_bvfunc_4, t8_bvfunc_4, t14_bvfunc26, t1_bvfunc25, t31_bvfunc26],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k3_bvfunc26, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_k4_bvfunc26, dt_k8_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t43_bvfunc26, bvfunc26, [ t2_bvfunc26, t8_bvfunc_1, t10_bvfunc_1, t5_bvfunc_4, t4_bvfunc_1, t37_bvfunc26, t31_bvfunc26],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t48_bvfunc26, bvfunc26, [ t5_bvfunc_1, t5_bvfunc_4, t12_bvfunc25, t2_bvfunc26, t4_bvfunc_1, t9_bvfunc_4, t10_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k5_valuat_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t4_bvfunc26, bvfunc26, [ t5_bvfunc_1, t1_bvfunc26, t8_bvfunc_1],[ commutativity_k3_bvfunc26, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t51_bvfunc26, bvfunc26, [ t1_bvfunc26, t17_bvfunc_1, t2_bvfunc26, t11_bvfunc_1, t10_bvfunc_1],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, fc3_margrel1],[]).
proved( t55_bvfunc26, bvfunc26, [ t2_bvfunc26, t1_bvfunc26, t17_bvfunc_1, t10_bvfunc_1, t34_bvfunc26],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, fc3_margrel1],[]).
proved( t56_bvfunc26, bvfunc26, [ t1_bvfunc26, t17_bvfunc_1, t7_bvfunc_1, t19_bvfunc_8, t25_bvfunc26, t54_bvfunc26, t7_bvfunc26, t6_bvfunc_1, t8_bvfunc_4, t6_bvfunc_4],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k15_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t58_bvfunc26, bvfunc26, [ t1_bvfunc26, t4_bvfunc_1, t13_bvfunc_8, t17_bvfunc_1, t9_bvfunc_4, t7_bvfunc_1, t2_bvfunc26, t5_bvfunc_4, t8_bvfunc_1, t16_bvfunc_1, t12_bvfunc25, t6_bvfunc_1, t11_bvfunc_1, t10_bvfunc_1, t12_bvfunc_1, t9_bvfunc_1, t8_bvfunc_4, t6_bvfunc_4, t11_bvfunc26, t21_bvfunc26, t17_bvfunc26, t14_bvfunc26, t19_bvfunc26, t13_bvfunc26],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k3_bvfunc26, commutativity_k6_valuat_1, redefinition_k14_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_k4_bvfunc26, dt_k6_valuat_1, dt_k8_bvfunc_1, dt_k9_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t59_bvfunc26, bvfunc26, [ t1_bvfunc26, t19_bvfunc_8, t17_bvfunc_1, t4_bvfunc_1, t7_bvfunc_1, t9_bvfunc_1, t8_bvfunc_4, t13_bvfunc_8, t5_bvfunc_4, t6_bvfunc_4, t12_bvfunc_8, t6_bvfunc_1, t14_bvfunc_1, t16_bvfunc_1, t11_bvfunc_1, t2_bvfunc26, t12_bvfunc_1, t9_bvfunc_4, t13_bvfunc_1, t12_bvfunc25, t10_bvfunc_1, t5_bvfunc_1, t35_bvfunc26],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, redefinition_k14_bvfunc_1, redefinition_k3_bvfunc26, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k15_bvfunc_1, dt_k18_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_k4_bvfunc26, dt_k6_valuat_1, dt_k8_bvfunc_1, dt_k9_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t60_bvfunc26, bvfunc26, [ t1_bvfunc26, t54_bvfunc26, t6_bvfunc_1],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t62_bvfunc26, bvfunc26, [ t2_bvfunc26, t7_bvfunc_1, t16_bvfunc_1, t10_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k4_bvfunc26, fc3_margrel1],[]).
proved( t68_bvfunc26, bvfunc26, [ t2_bvfunc26, t10_bvfunc_1, t5_bvfunc_1, t13_bvfunc_1, t6_bvfunc_4, t4_bvfunc_1, t8_bvfunc_4, t11_bvfunc_1, t38_bvfunc26],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k5_valuat_1, dt_k8_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t70_bvfunc26, bvfunc26, [ t2_bvfunc26, t13_bvfunc_8, t1_bvfunc26, t9_bvfunc_4, t17_bvfunc_1, t7_bvfunc_1, t5_bvfunc_4, t16_bvfunc_1, t12_bvfunc_1, t11_bvfunc_1, t15_bvfunc_1, t10_bvfunc_1, t6_bvfunc_4, t6_bvfunc_1, t9_bvfunc_1, t14_bvfunc_1, t8_bvfunc_4, t63_bvfunc26, t33_bvfunc26, t30_bvfunc26, t14_bvfunc26],[ commutativity_k3_bvfunc26, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, commutativity_k9_bvfunc_1, redefinition_k14_bvfunc_1, redefinition_k3_bvfunc26, redefinition_k6_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k6_valuat_1, dt_k8_bvfunc_1, dt_k9_bvfunc_1, fc3_margrel1],[]).
proved( t71_bvfunc26, bvfunc26, [ t35_bvfunc26, t18_bvfunc_8, t41_bvfunc26, t2_bvfunc26, t4_bvfunc_1, t17_bvfunc_1, t5_bvfunc_4, t1_bvfunc26, t7_bvfunc_1, t12_bvfunc_1, t11_bvfunc_1, t13_bvfunc_8, t14_bvfunc_1, t6_bvfunc_4, t8_bvfunc_1, t15_bvfunc_1, t9_bvfunc_1, t8_bvfunc_4, t13_bvfunc_1, t9_bvfunc_4, t10_bvfunc_1, t6_bvfunc_1, t12_bvfunc25, t5_bvfunc_1],[ commutativity_k1_bvfunc26, dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k3_bvfunc26, redefinition_k5_valuat_1, redefinition_k6_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k15_bvfunc_1, dt_k18_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, dt_k4_bvfunc26, dt_k6_valuat_1, dt_k8_bvfunc_1, dt_k9_bvfunc_1, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t72_bvfunc26, bvfunc26, [ t66_bvfunc26, t2_bvfunc26, t1_bvfunc26, t14_bvfunc_1, t10_bvfunc_1],[ commutativity_k4_bvfunc26, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k3_bvfunc26, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_valuat_1, dt_k8_bvfunc_1, fc3_margrel1],[]).
proved( t7_bvfunc26, bvfunc26, [ t1_bvfunc26, t6_bvfunc_1, t4_bvfunc_1, t17_bvfunc_1, t16_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, dt_m2_fraenkel, fc3_margrel1, cc1_valuat_1],[]).
proved( t8_bvfunc26, bvfunc26, [ t1_bvfunc26, t5_bvfunc_1, t5_bvfunc_4, t6_bvfunc_1],[ redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k18_bvfunc_1, dt_k1_fraenkel, dt_k3_bvfunc26, fc3_margrel1],[]).
proved( t31_bvfunc_2, bvfunc_2, [ t30_bvfunc_2],[ commutativity_k9_bvfunc_1, redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, fc3_margrel1],[]).
proved( t35_bvfunc_2, bvfunc_2, [ t34_bvfunc_2],[ commutativity_k8_bvfunc_1, redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t37_bvfunc_2, bvfunc_2, [ t36_bvfunc_2],[ commutativity_k6_valuat_1, redefinition_k1_bvfunc_2, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t5_bvfunc_2, bvfunc_2, [ d9_bvfunc_2, t33_bvfunc_1],[ redefinition_k1_bvfunc_2, dt_k5_bvfunc_2],[]).
proved( t6_bvfunc_2, bvfunc_2, [ d10_bvfunc_2, t34_bvfunc_1],[ redefinition_k1_bvfunc_2, dt_k5_bvfunc_2],[]).
proved( t10_bvfunc_3, bvfunc_3, [ t9_bvfunc_3],[ commutativity_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t13_bvfunc_3, bvfunc_3, [ t12_bvfunc_3],[ commutativity_k6_valuat_1, redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_bvfunc_2, dt_k7_bvfunc_2, fc3_margrel1],[]).
proved( t10_bvfunc_4, bvfunc_4, [ t7_bvfunc_4, t20_bvfunc_1, t19_bvfunc_1],[ reflexivity_r1_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t12_bvfunc_4, bvfunc_4, [ t20_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t13_bvfunc_4, bvfunc_4, [ t20_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t14_bvfunc_4, bvfunc_4, [ t20_bvfunc_1],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t16_bvfunc_4, bvfunc_4, [ t20_bvfunc_1],[ redefinition_m2_fraenkel, dt_k15_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t17_bvfunc_5, bvfunc_5, [ t8_bvfunc_5, t15_bvfunc_5, t16_bvfunc_5],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t25_bvfunc_5, bvfunc_5, [ t24_bvfunc_5, t2_bvfunc_5],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t27_bvfunc_5, bvfunc_5, [ t19_bvfunc_5, t21_bvfunc_5, t24_bvfunc_5, t25_bvfunc_5],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t29_bvfunc_5, bvfunc_5, [ t22_bvfunc_5, t26_bvfunc_5],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k19_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t2_bvfunc_5, bvfunc_5, [ t8_bvfunc_4, t13_bvfunc_1, t12_bvfunc_1, t5_bvfunc_1, t4_bvfunc_1],[ dt_m1_fraenkel, cc1_fraenkel, commutativity_k8_bvfunc_1, redefinition_k14_bvfunc_1, redefinition_k5_valuat_1, redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k1_fraenkel, dt_k3_valuat_1, dt_k5_valuat_1, dt_m2_fraenkel, fc3_margrel1, fc3_valuat_1, cc1_valuat_1],[]).
proved( t30_bvfunc_5, bvfunc_5, [ t8_bvfunc_5, t26_bvfunc_5, t22_bvfunc_5],[ redefinition_m2_fraenkel, dt_k14_bvfunc_1, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t38_bvfunc_5, bvfunc_5, [ t17_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t39_bvfunc_5, bvfunc_5, [ t16_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k8_bvfunc_1, fc3_margrel1],[]).
proved( t3_bvfunc_5, bvfunc_5, [ t13_bvfunc_1],[ commutativity_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t5_bvfunc_5, bvfunc_5, [ t8_bvfunc_4, t13_bvfunc_1],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k5_valuat_1, fc3_margrel1],[]).
proved( t15_bvfunc_6, bvfunc_6, [ t14_bvfunc_1, t14_bvfunc_6, t9_bvfunc_1, t15_bvfunc_1, t13_bvfunc_1, t7_bvfunc_4],[ commutativity_k6_valuat_1, commutativity_k8_bvfunc_1, redefinition_m2_fraenkel, dt_k15_bvfunc_1, dt_k1_fraenkel, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t44_bvfunc_6, bvfunc_6, [ t43_bvfunc_6],[ commutativity_k15_bvfunc_1, redefinition_m2_fraenkel, dt_k1_fraenkel, fc3_margrel1],[]).
proved( t3_bvfunc_8, bvfunc_8, [ t6_bvfunc_7],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k6_valuat_1, fc3_margrel1],[]).
proved( t4_bvfunc_8, bvfunc_8, [ t5_bvfunc_7],[ redefinition_m2_fraenkel, dt_k1_fraenkel, dt_k8_bvfunc_1, fc3_margrel1],[]).
proved( t109_cat_1, cat_1, [ t105_cat_1, d20_cat_1],[ dt_k2_cat_1, dt_k3_cat_1],[]).
proved( t118_cat_1, cat_1, [ d20_cat_1, t116_cat_1],[ dt_k15_cat_1],[]).
proved( t125_cat_1, cat_1, [ t5_subset, t2_tarski, t6_boole, t124_cat_1, t123_cat_1, d7_cat_1],[ redefinition_m2_relset_1, dt_k13_cat_1, dt_k8_funct_2, dt_m1_cat_1, dt_m2_cat_1, dt_u2_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t26_cat_1, cat_1, [ t2_tarski, t5_subset, t6_boole, t21_cat_1, d10_xboole_0, d3_tarski, t37_zfmisc_1],[ reflexivity_r1_tarski, rc2_subset_1, spc0_boole],[]).
proved( t51_cat_1, cat_1, [ t18_cat_1, t23_cat_1, t42_cat_1],[ dt_k4_cat_1, dt_m1_cat_1],[]).
proved( t52_cat_1, cat_1, [ t5_subset, t6_boole, t51_cat_1],[ existence_m1_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t64_cat_1, cat_1, [ t63_cat_1, t59_cat_1, t56_cat_1],[ dt_k10_cat_1],[]).
proved( t68_cat_1, cat_1, [ d13_cat_1, t18_cat_1, t23_cat_1, t55_cat_1, t22_cat_1, t46_cat_1, t47_cat_1, d11_cat_1, t43_cat_1],[ redefinition_k10_cat_1, dt_k10_cat_1, dt_k3_cat_1, dt_m1_cat_1],[]).
proved( t69_cat_1, cat_1, [ t68_cat_1, t59_cat_1, t56_cat_1],[ dt_k10_cat_1],[]).
proved( t71_cat_1, cat_1, [ t5_subset, t6_boole, d13_cat_1, t58_cat_1, t23_cat_1, t57_cat_1, t55_cat_1, t43_cat_1],[ redefinition_k10_cat_1, dt_k10_cat_1, dt_m1_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t73_cat_1, cat_1, [ t63_cat_1, t68_cat_1, t70_cat_1],[],[]).
proved( t74_cat_1, cat_1, [ t5_subset, t6_boole, t70_cat_1, t55_cat_1, t59_cat_1],[ dt_k10_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t91_cat_1, cat_1, [ t5_subset, t6_boole, d17_cat_1, t70_cat_1, t55_cat_1, t59_cat_1],[ dt_k10_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t92_cat_1, cat_1, [ d17_cat_1, t81_cat_1],[],[]).
proved( t9_cat_1, cat_1, [ t2_subset, d2_cqc_lang, d1_cat_1, d5_tarski, d1_tarski, t37_zfmisc_1, t13_funcop_1, t41_enumset1],[ commutativity_k2_xboole_0, reflexivity_r1_tarski, fc2_subset_1],[]).
proved( t12_cat_2, cat_2, [ t2_subset, t4_subset, t3_subset, d4_cat_2],[ dt_m3_cat_2, dt_u1_cat_1],[]).
proved( t23_cat_2, cat_2, [ t22_cat_2, d20_cat_1],[ dt_k8_cat_2, dt_m3_cat_2],[]).
proved( t26_cat_5, cat_5, [ t23_cat_5, t24_cat_5],[ dt_k2_cat_1, dt_k3_cat_1],[]).
proved( t27_cat_5, cat_5, [ t2_subset, t23_cat_5, t42_cat_1],[ redefinition_m2_subset_1, dt_k12_cat_5, dt_k2_cat_1, dt_k3_cat_1, dt_k4_cat_1, dt_m2_subset_1, dt_u2_cat_1, fc1_cat_5],[]).
proved( t28_cat_5, cat_5, [ t2_subset, t42_cat_1, t24_cat_5],[ redefinition_m2_subset_1, dt_k13_cat_5, dt_k2_cat_1, dt_k3_cat_1, dt_k4_cat_1, dt_m2_subset_1, dt_u2_cat_1, fc2_cat_5],[]).
proved( t1_closure2, closure2, [ t2_subset, t12_relset_1, t34_funct_1, t4_funct_2],[ redefinition_k6_partfun1, redefinition_k8_funct_2, redefinition_m2_relset_1, dt_k6_partfun1, dt_k6_relat_1, fc2_funct_1],[]).
proved( t8_closure3, closure3, [ d3_closure3],[ fraenkel_a_2_0_closure3],[]).
proved( t16_coh_sp, coh_sp, [ d4_tarski, t38_zfmisc_1],[ reflexivity_r1_tarski],[]).
proved( t28_coh_sp, coh_sp, [ d19_coh_sp, d1_eqrel_1],[ dt_k1_eqrel_1, fc1_eqrel_1, fc2_eqrel_1],[]).
proved( t3_coh_sp, coh_sp, [ t1_subset, t3_subset, t5_subset, t6_boole, d1_classes1, t2_zfmisc_1, t2_xboole_1, d2_coh_sp, d3_tarski, d1_tarski, d10_xboole_0, t2_coh_sp, t48_trees_1, t37_zfmisc_1],[ reflexivity_r1_tarski, spc0_boole],[]).
proved( t4_commacat, commacat, [ t2_tarski, t5_subset, t1_subset, t6_boole, t35_cat_1, d1_tarski, d3_tarski, d10_xboole_0, t34_cat_1],[ dt_k8_cat_1, dt_u1_cat_1, dt_u2_cat_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t11_conlat_1, conlat_1, [ t10_conlat_1, t9_conlat_1],[ redefinition_k12_mcart_1],[]).
proved( t33_conlat_1, conlat_1, [ t31_conlat_1],[],[]).
proved( t34_conlat_1, conlat_1, [ t3_subset, d19_conlat_1, t33_conlat_1, t24_conlat_1],[ dt_k5_conlat_1, dt_k6_conlat_1, dt_l2_conlat_1, dt_u4_conlat_1, dt_u5_conlat_1],[]).
proved( t43_conlat_1, conlat_1, [ t40_conlat_1, t42_conlat_1],[ dt_k5_conlat_1],[]).
proved( t5_conmetr, conmetr, [ t4_subset, t76_analmetr],[ cc1_analmetr],[]).
proved( t37_connsp_1, connsp_1, [ t2_connsp_1, t36_connsp_1],[ symmetry_r1_xboole_0],[]).
proved( t8_connsp_1, connsp_1, [ d1_connsp_1, d7_xboole_0, t27_xboole_1, t3_xboole_1, t49_pre_topc],[ commutativity_k3_xboole_0, symmetry_r1_connsp_1],[]).
proved( t11_connsp_3, connsp_3, [ t9_connsp_3, t7_connsp_3],[ dt_k1_connsp_3],[]).
proved( t13_connsp_3, connsp_3, [ t3_subset, t1_connsp_3, t12_connsp_3, t1_xboole_1],[ reflexivity_r1_tarski],[]).
proved( t18_connsp_3, connsp_3, [ t3_subset, t36_connsp_1, t67_xboole_1, t2_connsp_1, t9_connsp_3, t1_connsp_3],[ reflexivity_r1_tarski, symmetry_r1_xboole_0, dt_k1_connsp_3],[]).
proved( t32_connsp_3, connsp_3, [ t30_connsp_3, t17_xboole_1],[ redefinition_k5_subset_1, dt_k6_pre_topc],[]).
proved( t33_connsp_3, connsp_3, [ d6_connsp_3, t28_connsp_3, t39_pre_topc],[ dt_k3_pre_topc],[]).
proved( t34_connsp_3, connsp_3, [ t24_connsp_1, t39_pre_topc],[ dt_k3_pre_topc],[]).
proved( t9_connsp_3, connsp_3, [ t8_connsp_3],[ dt_k1_connsp_3],[]).
proved( t35_diraf, diraf, [ d3_diraf, d5_diraf, d4_diraf, t11_diraf, t5_diraf, t13_diraf, t27_diraf, t26_diraf],[],[]).
proved( t37_diraf, diraf, [ t11_diraf, t34_diraf, t36_diraf, t5_diraf, t4_diraf, t13_diraf],[],[]).
proved( t16_endalg, endalg, [ t9_msuhom_1, d3_msuhom_1],[ fc1_struct_0, redefinition_k10_pboole, redefinition_k2_pre_circ, redefinition_m2_relset_1, dt_k10_msualg_1, dt_k1_endalg, dt_k3_msuhom_1, dt_k7_msualg_1, dt_l1_unialg_1, dt_m2_fraenkel, fc2_msualg_1, fc3_msualg_1],[]).
proved( t51_ens_1, ens_1, [ t42_ens_1],[ dt_k2_cat_1],[]).
proved( t46_enumset1, enumset1, [ t44_enumset1, t42_enumset1, t41_enumset1, t4_xboole_1, t16_xboole_1],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0, commutativity_k5_xboole_0],[]).
proved( t48_enumset1, enumset1, [ t42_enumset1, t4_xboole_1, t41_enumset1, t44_enumset1, t47_enumset1],[],[]).
proved( t52_enumset1, enumset1, [ t42_enumset1, t4_xboole_1, t41_enumset1, t44_enumset1, t51_enumset1, t47_enumset1],[],[]).
proved( t54_enumset1, enumset1, [ t44_enumset1, t42_enumset1, t4_xboole_1, t41_enumset1, t47_enumset1, t51_enumset1],[],[]).
proved( t57_enumset1, enumset1, [ t4_xboole_1, t42_enumset1, t41_enumset1, t44_enumset1, t56_enumset1, t47_enumset1, t51_enumset1],[],[]).
proved( t60_enumset1, enumset1, [ t4_xboole_1, t42_enumset1, t44_enumset1, t41_enumset1, t56_enumset1, t51_enumset1, t47_enumset1],[],[]).
proved( t61_enumset1, enumset1, [ t56_enumset1, t44_enumset1, t4_xboole_1, t42_enumset1, t51_enumset1, t41_enumset1, t47_enumset1],[],[]).
proved( t63_enumset1, enumset1, [ t4_xboole_1, t42_enumset1, t48_enumset1, t41_enumset1, t51_enumset1, t56_enumset1, t62_enumset1],[],[]).
proved( t66_enumset1, enumset1, [ t47_enumset1, t4_xboole_1, t42_enumset1, t41_enumset1, t44_enumset1, t62_enumset1, t57_enumset1],[],[]).
proved( t67_enumset1, enumset1, [ t4_xboole_1, t44_enumset1, t42_enumset1, t41_enumset1, t56_enumset1, t62_enumset1, t51_enumset1, t47_enumset1],[],[]).
proved( t11_ff_siec, ff_siec, [ t11_net_1, t15_net_1, t14_net_1, t12_net_1, t13_net_1],[],[]).
proved( t19_filter_0, filter_0, [ t18_filter_0, t10_filter_0],[ reflexivity_r3_lattices, dt_k2_filter_0, cc1_lattices],[]).
proved( t51_filter_0, filter_0, [ t50_filter_0, t26_filter_0],[ redefinition_k6_filter_0, dt_k6_filter_0, cc1_filter_0],[]).
proved( t52_filter_0, filter_0, [ t50_filter_0, t26_filter_0],[ redefinition_k7_filter_0, dt_k7_filter_0],[]).
proved( t56_filter_0, filter_0, [ t52_lattices, t49_lattices],[ dt_k7_lattices],[]).
proved( t59_filter_0, filter_0, [ t4_subset, t7_boole, t57_filter_0, t31_filter_0, t47_lattices, d4_filter_0, d1_filter_0, t26_filter_0],[ dt_k7_lattices, dt_m1_filter_0, cc5_lattices],[]).
proved( t6_filter_0, filter_0, [ t1_filter_0, d3_lattices],[ redefinition_k3_lattices, redefinition_r3_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t73_filter_0, filter_0, [ t66_filter_0, t70_filter_0],[ dt_k2_filter_0, dt_k8_filter_0, cc3_lattices],[]).
proved( t78_filter_0, filter_0, [ t7_boole, d11_filter_0, t54_filter_0, t9_filter_0, d1_filter_0],[ dt_k4_filter_0, dt_m1_filter_0],[]).
proved( t42_filter_1, filter_1, [ t41_filter_1, t40_filter_1],[ dt_k8_filter_1, fc2_filter_1, cc3_lattices, cc4_lattices],[]).
proved( t31_filter_2, filter_2, [ t29_filter_2, t23_filter_2],[ reflexivity_r3_lattices, dt_k18_filter_2, cc1_lattices],[]).
proved( t38_filter_2, filter_2, [ d11_filter_2],[ dt_l1_lattices, fc1_struct_0, reflexivity_r1_filter_2, reflexivity_r1_tarski, existence_m1_subset_1, dt_l3_lattices, dt_m2_filter_2, dt_m2_lattice4],[]).
proved( t20_finset_1, finset_1, [ d3_zfmisc_1],[ fc14_finset_1],[]).
proved( t15_fintopo2, fintopo2, [ d5_fintopo2, t38_margrel1],[],[]).
proved( t39_fintopo2, fintopo2, [ t38_fintopo2],[ involutiveness_k3_subset_1, dt_k3_subset_1, dt_k9_fintopo2],[]).
proved( t3_fintopo2, fintopo2, [ t2_fintopo2, t32_subset_1],[ dt_k7_fin_topo, dt_k8_fin_topo],[]).
proved( t43_fintopo2, fintopo2, [ t32_subset_1, t41_fintopo2],[ dt_k10_fintopo2, dt_k9_fintopo2],[]).
proved( t4_fintopo2, fintopo2, [ t30_fin_topo],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t5_fintopo2, fintopo2, [ t31_fin_topo],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t7_fintopo2, fintopo2, [ d2_fintopo2, t38_margrel1],[],[]).
proved( t55_funcop_1, funcop_1, [ t2_subset, t48_funcop_1, t35_funct_1],[ cc1_funct_2, redefinition_k6_partfun1, redefinition_k8_funct_2, redefinition_m2_relset_1, dt_k6_partfun1, fc2_funct_1],[]).
proved( t56_funcop_1, funcop_1, [ t2_subset, t55_funcop_1, t35_funct_1],[ cc1_funct_2, redefinition_k6_partfun1, redefinition_k8_funct_2, redefinition_m2_relset_1, dt_k6_partfun1, fc2_funct_1],[]).
proved( t64_funcop_1, funcop_1, [ t60_funcop_1, t55_funcop_1, t56_funcop_1],[ cc1_funct_2, redefinition_k6_partfun1, redefinition_m2_relset_1, dt_k6_partfun1, fc2_funct_1],[]).
proved( t70_funcop_1, funcop_1, [ t66_funcop_1, t54_funcop_1, t56_funcop_1],[ cc1_funct_2, redefinition_k6_partfun1, redefinition_m2_relset_1, dt_k6_partfun1, fc2_funct_1],[]).
proved( t82_funcop_1, funcop_1, [ t66_funcop_1, d15_binop_1],[ redefinition_m2_relset_1, dt_k8_funct_2],[]).
proved( t83_funcop_1, funcop_1, [ t60_funcop_1, d15_binop_1],[ redefinition_m2_relset_1, dt_k8_funct_2],[]).
proved( t142_funct_1, funct_1, [ t5_subset, t6_boole, d5_tarski, d5_relat_1, d4_relat_1, t166_relat_1, d5_funct_1, d1_tarski, t37_zfmisc_1, t3_xboole_0, t174_relat_1, t173_relat_1],[ commutativity_k2_tarski, reflexivity_r1_tarski, rc2_funct_1, rc2_subset_1, fc4_relat_1],[]).
proved( t143_funct_1, funct_1, [ d3_tarski, t142_funct_1],[],[]).
proved( t18_funct_1, funct_1, [ t5_subset, t3_subset, t6_boole, d5_tarski, d4_relat_1, d1_tarski, t15_funct_1, d3_tarski, t60_relat_1],[ cc1_funct_1, commutativity_k2_tarski, rc2_subset_1, fc4_relat_1],[]).
proved( t23_funct_1, funct_1, [ d4_funct_1, t22_funct_1, t21_funct_1],[ dt_k5_relat_1, fc1_funct_1],[]).
proved( t40_funct_1, funct_1, [ t21_funct_1, t71_relat_1],[ dt_k6_relat_1, fc2_funct_1],[]).
proved( t56_funct_1, funct_1, [ t54_funct_1, t23_funct_1],[ dt_k2_funct_1],[]).
proved( t70_funct_1, funct_1, [ t68_funct_1],[ dt_k7_relat_1, fc4_funct_1],[]).
proved( t87_funct_1, funct_1, [ t85_funct_1],[ dt_k8_relat_1, fc5_funct_1],[]).
proved( t8_funct_1, funct_1, [ d5_tarski, d4_funct_1, t20_relat_1],[],[]).
proved( t113_funct_2, funct_2, [ t2_subset, t5_subset, t8_boole, t1_subset, t2_boole, t6_boole, t9_funct_1, d5_funct_1, t28_xboole_1, d1_funct_2, d3_tarski, t12_relset_1],[ fc6_relat_1, cc1_relset_1, existence_m1_subset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, dt_m2_relset_1, rc2_funct_2, rc2_funct_1, fc4_relat_1, rc2_subset_1],[]).
proved( t4_funct_2, funct_2, [ t5_subset, t8_boole, t3_subset, t6_boole, d5_tarski, t9_relset_1, t65_relat_1, t25_partfun1, t3_funct_2, d1_funct_2, d4_relat_1, d5_relat_1, d3_tarski],[ commutativity_k2_tarski, fc5_relat_1, fc6_relat_1, fc7_relat_1, redefinition_k4_relset_1, redefinition_m2_relset_1, rc2_funct_1, fc4_relat_1, rc2_subset_1],[]).
proved( t70_funct_2, funct_2, [ t5_subset, t2_boole, t6_boole, t21_funct_2, d3_xboole_0],[ commutativity_k3_xboole_0, fc4_relat_1, rc2_subset_1],[]).
proved( t77_funct_2, funct_2, [ t2_subset, t4_subset, t5_subset, t1_subset, t3_subset, t6_boole, t32_funct_2, t12_relset_1, d5_funct_1, d8_funct_1],[ cc1_funct_1, cc2_funct_1, fc6_relat_1, fc7_relat_1, fc8_relat_1, cc1_relat_1, cc1_relset_1, fc1_subset_1, existence_m1_subset_1, dt_m2_relset_1, fc4_relat_1, rc2_subset_1],[]).
proved( t28_funct_3, funct_3, [ d2_funct_3, t167_relat_1],[ dt_k3_funct_3],[]).
proved( t68_funct_3, funct_3, [ d5_tarski, d8_funct_3],[ commutativity_k2_tarski, dt_k13_funct_3],[]).
proved( t69_funct_3, funct_3, [ d5_tarski, t68_funct_3],[ commutativity_k2_tarski, idempotence_k3_xboole_0],[]).
proved( t80_funct_3, funct_3, [ t71_funct_3, t12_relset_1, t119_zfmisc_1, t1_xboole_1],[ cc1_relset_1, dt_m2_relset_1],[]).
proved( t86_funct_3, funct_3, [ d5_tarski, d9_funct_3, t106_zfmisc_1],[ commutativity_k2_tarski, dt_k15_funct_3],[]).
proved( t98_funct_3, funct_3, [ t5_subset, t6_boole, t97_funct_3, t9_funct_1, t71_relat_1],[ dt_k6_relat_1, fc2_funct_1, rc2_funct_1, rc2_subset_1, fc1_xboole_0, fc4_relat_1, fc7_relat_1, fc8_relat_1],[]).
proved( t17_funct_4, funct_4, [ t7_boole, t16_funct_4, d6_partfun1, d7_xboole_0],[ fc4_relat_1],[]).
proved( t35_funct_4, funct_4, [ t31_funct_4, t28_funct_4],[ commutativity_k2_xboole_0, symmetry_r1_partfun1, reflexivity_r1_partfun1, dt_k1_funct_4],[]).
proved( t40_funct_4, funct_4, [ t5_subset, t2_subset, t3_subset, t6_boole, t2_xboole_1, d5_funct_1, d10_xboole_0, d3_tarski, t38_funct_4],[ existence_m1_relset_1, cc1_relset_1, existence_m1_subset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, dt_k4_relset_1, dt_m2_relset_1, fc4_relat_1, fc5_relat_1, rc2_funct_1],[]).
proved( t16_funct_5, funct_5, [ d5_tarski, t15_funct_5, t41_enumset1, t6_funct_5],[ commutativity_k2_xboole_0],[]).
proved( t1_functor0, functor0, [ t2_subset, t3_subset, t5_subset, t6_boole, d1_funct_2, t12_relset_1, t11_relset_1],[ reflexivity_r1_tarski, existence_m1_subset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, fc4_relat_1, fc7_relat_1, cc1_funct_1, fc1_subset_1, rc2_subset_1, rc1_funct_2, spc0_boole],[]).
proved( t11_functor2, functor2, [ t7_functor2, d6_functor2],[ redefinition_k4_functor2, dt_m2_functor2],[]).
proved( t12_functor2, functor2, [ d6_functor2, d5_functor2],[ dt_k3_functor2, dt_m2_functor2],[]).
proved( t13_gcd_1, gcd_1, [ d4_gcd_1],[ dt_k1_gcd_1, dt_l2_vectsp_1, dt_l3_vectsp_1, cc5_vectsp_1],[]).
proved( t17_gcd_1, gcd_1, [ t1_gcd_1, d4_gcd_1, t9_gcd_1, t11_gcd_1, t15_gcd_1],[ reflexivity_r2_gcd_1, dt_k1_gcd_1, dt_l2_vectsp_1, dt_l3_vectsp_1, cc4_vectsp_1, cc5_vectsp_1],[]).
proved( t26_gcd_1, gcd_1, [ d9_gcd_1],[ dt_l2_vectsp_1, reflexivity_r4_gcd_1, dt_l3_vectsp_1, cc4_vectsp_1],[]).
proved( t32_gcd_1, gcd_1, [ t31_gcd_1, t25_gcd_1],[ dt_l1_rlvect_1, dt_k1_rlvect_1, dt_l3_vectsp_1],[]).
proved( t4_gcd_1, gcd_1, [ t2_gcd_1, d3_gcd_1],[],[]).
proved( t6_gcd_1, gcd_1, [ d1_gcd_1, d16_group_1],[ dt_k1_group_1, dt_l1_vectsp_1],[]).
proved( t7_gcd_1, gcd_1, [ t2_gcd_1, t6_gcd_1],[ dt_k1_group_1, dt_l1_vectsp_1],[]).
proved( t37_grcat_1, grcat_1, [ d23_grcat_1, d1_tarski],[ fc2_subset_1],[]).
proved( t35_grfunc_1, grfunc_1, [ d3_tarski, d2_xboole_0, t8_grfunc_1],[ commutativity_k2_xboole_0],[]).
proved( t87_grfunc_1, grfunc_1, [ d5_tarski, d4_funct_1, t8_funct_1, d13_funct_1],[ commutativity_k2_tarski],[]).
proved( t10_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t12_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t13_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t14_hessenbe, hessenbe, [ t3_hessenbe, d7_anproj_2, t8_hessenbe],[],[]).
proved( t15_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t16_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t17_hessenbe, hessenbe, [ t3_hessenbe, t4_hessenbe, t8_hessenbe, t9_hessenbe],[],[]).
proved( t19_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t4_hessenbe, hessenbe, [ t11_collsp],[],[]).
proved( t5_hessenbe, hessenbe, [ t14_collsp],[],[]).
proved( t8_hessenbe, hessenbe, [ t3_hessenbe, t11_collsp],[],[]).
proved( t9_hessenbe, hessenbe, [ t3_hessenbe, t8_hessenbe],[],[]).
proved( t11_heyting1, heyting1, [ t5_subset, t6_boole, d4_heyting1, d7_xboole_0, d3_xboole_0, t3_xboole_0, d1_tarski, t37_zfmisc_1, t28_xboole_1],[ reflexivity_r1_tarski, redefinition_k2_heyting1, redefinition_m2_subset_1, dt_k4_heyting1, dt_k7_normform, fc2_finsub_1, rc2_finset_1, fc2_normform, fc4_subset_1, fc1_xboole_0],[]).
proved( t12_heyting1, heyting1, [ d4_heyting1, t37_zfmisc_1],[ reflexivity_r1_tarski, redefinition_k2_heyting1, redefinition_m2_subset_1, dt_k4_heyting1, dt_k7_normform, fc2_finsub_1, fc2_normform, fc4_subset_1],[]).
proved( t5_homothet, homothet, [ t4_subset, d1_homothet, t117_transgeo],[],[]).
proved( t56_isocat_1, isocat_1, [ d11_isocat_1, d10_isocat_1],[ dt_m1_isocat_1],[]).
proved( t7_isocat_1, isocat_1, [ d2_nattra_1, d7_cat_1],[ dt_k13_cat_1, dt_k5_nattra_1, dt_m1_cat_1],[]).
proved( t13_isocat_2, isocat_2, [ t5_subset, t2_subset, t6_boole, t7_boole, t42_cat_2, d2_zfmisc_1, t2_tarski],[ existence_m1_subset_1, fc4_subset_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t16_isocat_2, isocat_2, [ d5_tarski, t42_cat_2, t106_zfmisc_1],[ redefinition_k13_cat_2],[]).
proved( t6_isocat_2, isocat_2, [ t46_cat_1],[ redefinition_k10_cat_1, dt_k3_cat_1],[]).
proved( t7_isocat_2, isocat_2, [ t47_cat_1],[ redefinition_k10_cat_1, dt_k2_cat_1],[]).
proved( t23_latsubgr, latsubgr, [ d1_latsubgr, t1_latsubgr],[ dt_k1_latsubgr],[]).
proved( t24_latsubgr, latsubgr, [ t23_latsubgr, d1_latsubgr],[ dt_k1_latsubgr, dt_k9_group_2],[]).
proved( t11_latsum_1, latsum_1, [ t10_latsum_1, d2_latsum_1],[ commutativity_k2_xboole_0, dt_k1_latsum_1],[]).
proved( t1_latsum_1, latsum_1, [ d4_xboole_0, d2_xboole_0],[ commutativity_k2_xboole_0],[]).
proved( t30_lattice2, lattice2, [ t17_lattices, d9_lattices, d15_binop_1, d2_lattices],[ fc1_struct_0, dt_l1_lattices, dt_l3_lattices, dt_u1_lattices, cc1_lattices],[]).
proved( t71_lattice2, lattice2, [ t7_boole, t70_lattice2, t48_lattice2],[ redefinition_m2_relset_1, dt_k2_lattice2, fc1_xboole_0],[]).
proved( t73_lattice2, lattice2, [ t72_lattice2, d2_setwiseo],[ fc1_struct_0, dt_k6_lattices, dt_l1_lattices, dt_l3_lattices, dt_u1_lattices],[]).
proved( t77_lattice2, lattice2, [ t7_boole, t76_lattice2, t62_lattice2],[ redefinition_m2_relset_1, dt_k3_lattice2, fc1_xboole_0],[]).
proved( t83_lattice2, lattice2, [ d2_lattices, t81_lattice2],[ redefinition_k4_lattices, redefinition_m2_relset_1, dt_k2_lattice2, dt_l3_lattices, cc1_lattices],[]).
proved( t29_lattice3, lattice3, [ d3_lattice3, t28_lattice3, d4_lattice3],[ dt_k5_lattice3],[]).
proved( t31_lattice3, lattice3, [ d3_lattice3, t30_lattice3, d4_lattice3],[ dt_k5_lattice3],[]).
proved( t40_lattice4, lattice4, [ t4_subset, t7_boole, d14_lattice4, t39_lattice4, t55_filter_0],[ dt_k7_lattices, dt_m3_lattice4],[]).
proved( t45_lattice4, lattice4, [ t20_lattice4, d17_lattice4],[ dt_k5_lattice4, cc5_lattices],[]).
proved( t47_lattice4, lattice4, [ d17_lattice4, t27_lattice4],[ dt_k5_lattice4, cc5_lattices],[]).
proved( t4_lattice4, lattice4, [ t1_subset, t2_subset, d6_filter_0, d2_filter_0],[ fc1_struct_0, dt_k1_filter_0, dt_k3_lattices, dt_l1_lattices, dt_l2_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t53_lattices, lattices, [ t52_lattices, t49_lattices],[ commutativity_k4_lattices, dt_k7_lattices, dt_l3_lattices, cc1_lattices],[]).
proved( t11_lmod_6, lmod_6, [ t2_subset, t4_subset, d5_lmod_6, t10_lmod_6, d1_rlvect_1],[ dt_l2_struct_0, dt_k2_pre_topc, dt_l1_rlvect_1, dt_l2_vectsp_1, dt_l3_vectsp_1, dt_l4_vectsp_1, dt_m1_vectsp_4, fc1_struct_0],[]).
proved( t23_lmod_6, lmod_6, [ d7_lmod_6, t51_vectsp_4, t34_vectsp_4, t48_vectsp_4],[ dt_m1_vectsp_4],[]).
proved( t24_lmod_6, lmod_6, [ t18_lmod_6],[ reflexivity_r1_lmod_6],[]).
proved( t3_lmod_6, lmod_6, [ t13_vectsp_5, t15_vectsp_5],[ dt_k1_vectsp_4, dt_k2_vectsp_4],[]).
proved( t44_lmod_6, lmod_6, [ d7_lmod_6, t51_vectsp_4, t23_lmod_6, t24_lmod_6],[ dt_m1_vectsp_4],[]).
proved( t16_lmod_7, lmod_7, [ t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, d11_lmod_7],[ existence_m1_subset_1, dt_m9_lmod_7, fc1_xboole_0],[]).
proved( t19_lmod_7, lmod_7, [ t2_subset, d13_lmod_7, d12_lmod_7],[ fc1_lmod_7],[]).
proved( t1_lmod_7, lmod_7, [ t3_lmod_5, d2_lmod_6],[],[]).
proved( t28_lmod_7, lmod_7, [ d23_lmod_7, t22_lmod_7, t27_lmod_7],[],[]).
proved( t21_lopclset, lopclset, [ t4_subset, d6_lopclset, t20_lopclset],[ dt_k8_lopclset, dt_m1_filter_0, fraenkel_a_2_0_lopclset],[]).
proved( t12_lukasi_1, lukasi_1, [ d1_cqc_the1, t76_cqc_the1, t79_cqc_the1, t82_cqc_the1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k4_cqc_the1, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_k9_cqc_lang, fc2_cqc_lang],[]).
proved( t18_lukasi_1, lukasi_1, [ t82_cqc_the1, t10_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t27_lukasi_1, lukasi_1, [ t15_lukasi_1, t79_cqc_the1, t22_lukasi_1, t25_lukasi_1, t78_cqc_the1, t5_lukasi_1, t20_lukasi_1, t16_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t29_lukasi_1, lukasi_1, [ t25_lukasi_1, t13_lukasi_1, t27_lukasi_1, t19_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t32_lukasi_1, lukasi_1, [ t79_cqc_the1, t15_lukasi_1, t22_lukasi_1, t5_lukasi_1, t30_lukasi_1, t7_lukasi_1, t20_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t34_lukasi_1, lukasi_1, [ t3_lukasi_1, t15_lukasi_1, t82_cqc_the1, t24_lukasi_1, t22_lukasi_1, t5_lukasi_1, t33_lukasi_1, t32_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t42_lukasi_1, lukasi_1, [ t104_cqc_the1, t41_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t50_lukasi_1, lukasi_1, [ t13_lukasi_1, t77_cqc_the1, t101_cqc_the1, d11_cqc_the1, t104_cqc_the1],[ dt_k11_qc_lang1, redefinition_k9_cqc_lang, redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_k9_cqc_lang, dt_m2_subset_1, fc2_cqc_lang],[]).
proved( t53_lukasi_1, lukasi_1, [ t104_cqc_the1, t52_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t56_lukasi_1, lukasi_1, [ t104_cqc_the1, t55_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t59_lukasi_1, lukasi_1, [ t48_lukasi_1, t41_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t63_lukasi_1, lukasi_1, [ t62_lukasi_1, t61_lukasi_1, t104_cqc_the1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t67_lukasi_1, lukasi_1, [ d11_cqc_the1, t28_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_m2_subset_1, fc2_cqc_lang],[]).
proved( t68_lukasi_1, lukasi_1, [ d11_cqc_the1, t104_cqc_the1, t67_lukasi_1, t25_lukasi_1, t3_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_m2_subset_1, fc2_cqc_lang],[]).
proved( t70_lukasi_1, lukasi_1, [ d11_cqc_the1, t104_cqc_the1, t69_lukasi_1, t64_lukasi_1, t43_lukasi_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_m2_subset_1, fc2_cqc_lang],[]).
proved( t76_lukasi_1, lukasi_1, [ t92_cqc_the1, t75_lukasi_1],[ redefinition_m2_subset_1, dt_k12_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t87_lukasi_1, lukasi_1, [ d9_cqc_the1, t89_cqc_the1, t88_cqc_the1, t92_cqc_the1, t86_lukasi_1, t80_lukasi_1, d2_cqc_the1, t77_lukasi_1, t78_lukasi_1, t81_lukasi_1, t85_lukasi_1],[ reflexivity_r1_tarski, redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k1_cqc_the1, dt_k7_cqc_lang, dt_k8_qc_lang1, dt_m2_subset_1, fc2_cqc_lang],[]).
proved( t17_mboolean, mboolean, [ t99_pboole, t62_pboole, t15_pboole],[ dt_k4_pboole],[]).
proved( t19_mboolean, mboolean, [ t1_mboolean],[ reflexivity_r6_pboole, existence_m1_pboole, dt_k1_mboolean],[]).
proved( t15_mcart_1, mcart_1, [ d1_tarski, t10_mcart_1, d2_xboole_0, t41_enumset1],[],[]).
proved( t16_mcart_1, mcart_1, [ t10_mcart_1, d1_tarski, d2_xboole_0, t41_enumset1],[],[]).
proved( t26_mcart_1, mcart_1, [ t24_mcart_1, d2_tarski, d5_tarski],[ commutativity_k2_tarski, antisymmetry_r2_hidden],[]).
proved( t87_mcart_1, mcart_1, [ d3_mcart_1, t1_subset, t2_subset, t6_boole, t7_boole, d4_mcart_1, d2_tarski, t54_mcart_1, d5_tarski, t61_mcart_1, t60_mcart_1, t50_mcart_1, t113_zfmisc_1, t35_mcart_1, d2_subset_1],[ commutativity_k2_tarski, dt_k6_mcart_1, dt_k7_mcart_1, dt_k8_mcart_1, dt_k9_mcart_1, fc1_xboole_0],[]).
proved( t39_mcart_4, mcart_4, [ d2_mcart_4, t24_mcart_4],[],[]).
proved( t42_mcart_5, mcart_5, [ d2_mcart_5, t26_mcart_5],[],[]).
proved( t30_mcart_6, mcart_6, [ d1_mcart_6, d2_mcart_6, d1_mcart_5, t27_mcart_6, d1_mcart_4, d1_mcart_3, d1_mcart_2, d4_mcart_1, d3_mcart_1, t7_mcart_1],[],[]).
proved( t38_mcart_6, mcart_6, [ d1_mcart_6, d2_mcart_6, t26_mcart_6, d1_mcart_5, d1_mcart_4, d1_mcart_3, d1_mcart_2, d4_mcart_1, d3_mcart_1, t27_mcart_6],[ dt_k10_mcart_6, dt_k11_mcart_6, dt_k3_mcart_6, dt_k4_mcart_6, dt_k5_mcart_6, dt_k6_mcart_6, dt_k7_mcart_6, dt_k8_mcart_6, dt_k9_mcart_6],[]).
proved( t39_mcart_6, mcart_6, [ d1_mcart_6, d2_mcart_6, t26_mcart_6, d1_mcart_5, d1_mcart_4, d1_mcart_3, d1_mcart_2, d4_mcart_1, d3_mcart_1, t27_mcart_6],[ dt_k10_mcart_6, dt_k11_mcart_6, dt_k3_mcart_6, dt_k4_mcart_6, dt_k5_mcart_6, dt_k6_mcart_6, dt_k7_mcart_6, dt_k8_mcart_6, dt_k9_mcart_6],[]).
proved( t43_mcart_6, mcart_6, [ d2_mcart_6, t27_mcart_6],[],[]).
proved( t19_midsp_1, midsp_1, [ t18_midsp_1],[ commutativity_k4_midsp_1, redefinition_k4_midsp_1],[]).
proved( t23_midsp_1, midsp_1, [ d5_midsp_1, t18_midsp_1, t22_midsp_1],[ commutativity_k4_midsp_1, redefinition_k4_midsp_1],[]).
proved( t27_midsp_1, midsp_1, [ d5_midsp_1, t18_midsp_1, t22_midsp_1],[ commutativity_k4_midsp_1, redefinition_k4_midsp_1],[]).
proved( t36_midsp_1, midsp_1, [ t35_midsp_1],[ symmetry_r2_midsp_1],[]).
proved( t38_midsp_1, midsp_1, [ t37_midsp_1],[ symmetry_r2_midsp_1],[]).
proved( t55_midsp_1, midsp_1, [ t53_midsp_1, d11_midsp_1],[],[]).
proved( t56_midsp_1, midsp_1, [ d11_midsp_1, t42_midsp_1],[ redefinition_k9_midsp_1, dt_k7_midsp_1],[]).
proved( t58_midsp_1, midsp_1, [ t50_midsp_1, d11_midsp_1],[],[]).
proved( t59_midsp_1, midsp_1, [ t57_midsp_1, t18_midsp_1],[],[]).
proved( t61_midsp_1, midsp_1, [ t31_midsp_1, d5_midsp_1, d4_midsp_1],[ redefinition_k4_midsp_1, dt_k4_midsp_1],[]).
proved( t67_midsp_1, midsp_1, [ t63_midsp_1, t64_midsp_1, t66_midsp_1, t65_midsp_1],[],[]).
proved( t14_midsp_2, midsp_2, [ d1_midsp_2, t13_midsp_2],[ redefinition_k4_rlvect_1, dt_k4_rlvect_1],[]).
proved( t1_midsp_2, midsp_2, [ d2_midsp_2],[],[]).
proved( t26_midsp_2, midsp_2, [ t56_midsp_1, t25_midsp_2, t61_midsp_1, d4_midsp_1],[ redefinition_k4_midsp_1],[]).
proved( t7_midsp_2, midsp_2, [ t6_midsp_2],[],[]).
proved( t29_mod_3, mod_3, [ t26_mod_3, d5_mod_3],[],[]).
proved( t12_modcat_1, modcat_1, [ t11_modcat_1, d8_modcat_1, d9_modcat_1],[],[]).
proved( t13_modcat_1, modcat_1, [ d14_modcat_1, d9_modcat_1, d8_modcat_1],[ dt_k11_modcat_1],[]).
proved( t8_msafree2, msafree2, [ t17_msafree, d8_msafree2],[ fc1_msualg_1, dt_k13_msafree, dt_l1_msualg_1, dt_l3_msualg_1, dt_u4_msualg_1],[]).
proved( t37_mssubfam, mssubfam, [ d12_pboole, t34_mssubfam, t36_mssubfam],[ dt_k1_mboolean, dt_m4_pboole],[]).
proved( t15_nattra_1, nattra_1, [ d1_nattra_1, t56_cat_1, t108_cat_1],[ dt_k10_cat_1],[]).
proved( t20_net_1, net_1, [ d7_net_1, d3_tarski, t16_net_1, d5_net_1, t6_net_1, t13_net_1],[],[]).
proved( t21_net_1, net_1, [ d8_net_1, t6_net_1, d3_tarski, t18_net_1, d6_net_1, t12_net_1],[],[]).
proved( t6_net_1, net_1, [ d2_net_1, t5_net_1, t4_net_1, d3_tarski, d2_xboole_0],[],[]).
proved( t44_normform, normform, [ t2_subset, d8_normform],[ redefinition_m2_subset_1, dt_k7_normform, fc2_normform, fc2_finsub_1, fc4_subset_1, fraenkel_a_1_0_normform],[]).
proved( t49_normform, normform, [ t1_subset, t2_subset, t7_boole, t42_normform],[ redefinition_m2_subset_1, dt_k7_normform, fc2_normform, fc2_finsub_1, fc4_subset_1],[]).
proved( t73_normform, normform, [ t70_normform, t72_normform, t16_setwiseo],[],[]).
proved( t75_normform, normform, [ t74_normform, t72_normform],[ dt_k8_normform, dt_k9_normform, dt_m2_subset_1, fc3_normform, fc2_finsub_1],[]).
proved( t13_openlatt, openlatt, [ t1_subset, t2_subset, t4_subset, t7_boole, d6_openlatt],[ dt_k8_openlatt, dt_m1_filter_0, fraenkel_a_2_0_openlatt],[]).
proved( t34_oposet_1, oposet_1, [ d1_oposet_1, t1_subset, t2_boole, t2_subset, t3_subset, t5_subset, t6_boole, d5_oposet_1, t2_xboole_1, d3_tarski, d10_xboole_0, d1_tarski, d3_xboole_0, d2_yellow_0],[ free_g1_oposet_1, abstractness_v1_oposet_1, dt_k1_oposet_1, dt_k7_vectsp_2, dt_l1_oposet_1, commutativity_k3_xboole_0, redefinition_m2_relset_1, dt_k4_oposet_1, fc1_subset_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t15_oppcat_1, oppcat_1, [ t2_tarski, t4_subset, t5_subset, t7_boole, d2_oppcat_1, d7_cat_1, t13_oppcat_1],[ existence_m1_subset_1, dt_k2_oppcat_1, dt_k3_oppcat_1, dt_k6_cat_1, dt_m1_cat_1, fc1_xboole_0],[]).
proved( t16_oppcat_1, oppcat_1, [ d2_oppcat_1, d3_oppcat_1, d4_oppcat_1, d5_oppcat_1, t18_cat_1, d7_cat_1, t22_cat_1, t14_oppcat_1],[ dt_k2_oppcat_1, dt_k4_oppcat_1, dt_k5_oppcat_1, dt_k6_oppcat_1, dt_m1_cat_1],[]).
proved( t18_oppcat_1, oppcat_1, [ t17_oppcat_1, t9_oppcat_1],[],[]).
proved( t42_oppcat_1, oppcat_1, [ d2_oppcat_1, d3_oppcat_1, t41_oppcat_1],[ dt_k2_oppcat_1, dt_k3_oppcat_1],[]).
proved( t5_orders_1, orders_1, [ t1_subset, t2_subset, t3_subset, d2_orders_1, t64_zfmisc_1],[ fc1_subset_1, fc2_ordinal1],[]).
proved( t6_orders_1, orders_1, [ t1_subset, t2_subset, d2_orders_1, d5_xboole_0, t64_zfmisc_1],[ fc1_subset_1],[]).
proved( t29_orders_2, orders_2, [ t28_orders_2, d10_orders_2, t26_orders_2],[],[]).
proved( t32_orders_2, orders_2, [ d10_orders_2, t30_orders_2, t29_orders_2, t28_orders_2],[],[]).
proved( t57_orders_2, orders_2, [ t4_subset, t56_orders_2, t52_orders_2],[],[]).
proved( t67_orders_2, orders_2, [ d15_orders_2, t61_orders_2, t2_xboole_1],[ dt_m1_orders_2],[]).
proved( t13_ordinal1, ordinal1, [ d1_ordinal1, t10_ordinal1, d1_tarski, d2_xboole_0],[],[]).
proved( t33_ordinal1, ordinal1, [ d1_ordinal1, t24_ordinal1, t26_ordinal1, d1_tarski, d2_xboole_0, t7_ordinal1, t10_ordinal1, t13_ordinal1, d3_tarski, t7_xboole_1],[ antisymmetry_r2_hidden, redefinition_r1_ordinal1, fc3_ordinal1],[]).
proved( t1_ordinal2, ordinal2, [ d1_ordinal1, t33_ordinal1, t34_ordinal1, t23_ordinal1],[ fc3_ordinal1],[]).
proved( t27_ordinal2, ordinal2, [ d2_ordinal2, d3_tarski, d7_ordinal2],[ dt_k7_ordinal2],[]).
proved( t32_ordinal2, ordinal2, [ t2_subset, t3_subset, t6_boole, t7_boole, d6_ordinal2, d2_ordinal2, d3_tarski, d7_ordinal2, t26_ordinal1, t7_ordinal1, t4_setfam_1, d1_setfam_1, t24_ordinal1],[ existence_m1_subset_1, antisymmetry_r2_hidden, dt_k6_ordinal2, dt_k7_ordinal2, rc2_subset_1, fc2_ordinal1, rc3_ordinal1],[]).
proved( t5_ordinal2, ordinal2, [ t26_ordinal1, d4_tarski],[ antisymmetry_r2_hidden, fc4_ordinal1],[]).
proved( t21_ordinal3, ordinal3, [ t20_ordinal3, t45_ordinal2, t10_ordinal1, t23_ordinal1, t34_ordinal1],[ dt_k14_ordinal2, fc3_ordinal1],[]).
proved( t26_ordinal3, ordinal3, [ t49_ordinal2, t26_ordinal1, t23_ordinal1, t7_ordinal1],[ redefinition_r1_ordinal1, dt_k14_ordinal2],[]).
proved( t5_ordinal3, ordinal3, [ t10_ordinal1, t34_ordinal1, t23_ordinal1, t33_ordinal1, t13_ordinal1, t14_ordinal1, d3_tarski, d10_xboole_0],[ connectedness_r1_ordinal1, antisymmetry_r2_hidden, fc3_ordinal1],[]).
proved( t65_ordinal3, ordinal3, [ d6_ordinal3, t27_ordinal3],[ dt_k14_ordinal2],[]).
proved( t71_ordinal3, ordinal3, [ t2_subset, t5_subset, t1_subset, t3_subset, t7_boole, d6_ordinal3, t27_ordinal3, t2_xboole_1, t1_xboole_1, t21_ordinal1, t51_ordinal2, d8_xboole_0, t23_ordinal1, t49_ordinal2, t34_ordinal1, t26_ordinal1],[ antisymmetry_r2_hidden, redefinition_r1_ordinal1, dt_k14_ordinal2, dt_k5_ordinal3, fc2_ordinal1, fc3_ordinal1, cc1_ordinal1],[]).
proved( t74_ordinal3, ordinal3, [ t65_ordinal3, t66_ordinal3, t27_ordinal3, t23_ordinal1],[],[]).
proved( t79_ordinal3, ordinal3, [ d6_ordinal3, d7_ordinal3, t77_ordinal3, t27_ordinal3, t52_ordinal2, t2_xboole_1, d8_ordinal3, t53_ordinal2, t44_ordinal2, t7_ordinal1, t54_ordinal3, t22_ordinal1, t45_ordinal2],[ redefinition_r1_ordinal1, dt_k14_ordinal2, dt_k15_ordinal2, fc2_ordinal1, fc3_ordinal1],[]).
proved( t81_ordinal3, ordinal3, [ d7_ordinal3, t10_ordinal3, t44_ordinal2],[ dt_k15_ordinal2, fc2_ordinal1],[]).
proved( t29_ordinal4, ordinal4, [ t24_ordinal4, t10_ordinal3, t23_ordinal1, t60_ordinal2],[],[]).
proved( t26_osalg_1, osalg_1, [ t25_osalg_1, t24_osalg_1, d22_osalg_1],[],[]).
proved( t3_pardepap, pardepap, [ t6_translac, d1_aff_1, t13_aff_1],[],[]).
proved( t43_parsp_1, parsp_1, [ d12_parsp_1, t40_parsp_1],[],[]).
proved( t48_parsp_1, parsp_1, [ d12_parsp_1, t40_parsp_1, t43_parsp_1],[],[]).
proved( t49_parsp_1, parsp_1, [ t43_parsp_1, t40_parsp_1, t41_parsp_1, t47_parsp_1],[],[]).
proved( t50_parsp_1, parsp_1, [ t40_parsp_1, t43_parsp_1, t41_parsp_1],[],[]).
proved( t51_parsp_1, parsp_1, [ t40_parsp_1, t43_parsp_1, t41_parsp_1, t50_parsp_1],[],[]).
proved( t53_parsp_1, parsp_1, [ t40_parsp_1, t37_parsp_1, t41_parsp_1, t51_parsp_1, t43_parsp_1],[],[]).
proved( t15_parsp_2, parsp_2, [ d2_parsp_2, t41_parsp_1],[],[]).
proved( t17_parsp_2, parsp_2, [ t41_parsp_1, d2_parsp_2, t40_parsp_1, t43_parsp_1, t50_parsp_1, t15_parsp_2],[],[]).
proved( t19_parsp_2, parsp_2, [ d2_parsp_2, t41_parsp_1, d1_parsp_2, t15_parsp_2, t40_parsp_1, t43_parsp_1, t53_parsp_1],[],[]).
proved( t21_parsp_2, parsp_2, [ d2_parsp_2, t53_parsp_1, t40_parsp_1],[],[]).
proved( t22_parsp_2, parsp_2, [ d2_parsp_2, t17_parsp_2, t41_parsp_1, d1_parsp_2, t15_parsp_2, t18_parsp_2, t40_parsp_1, t37_parsp_1],[],[]).
proved( t23_parsp_2, parsp_2, [ d2_parsp_2, t17_parsp_2, t18_parsp_2, t40_parsp_1, t41_parsp_1, t15_parsp_2, t21_parsp_2, t22_parsp_2, t43_parsp_1],[],[]).
proved( t24_parsp_2, parsp_2, [ d2_parsp_2, t18_parsp_2, t22_parsp_2, t23_parsp_2, t40_parsp_1, t41_parsp_1, t15_parsp_2, t21_parsp_2],[],[]).
proved( t43_parsp_2, parsp_2, [ t34_parsp_2, d3_parsp_2, t40_parsp_1, d2_parsp_2, t15_parsp_2, t42_parsp_1, t17_parsp_2, t41_parsp_1, t36_parsp_2, t38_parsp_2, t39_parsp_2, t40_parsp_2, t43_parsp_1, d1_parsp_2],[],[]).
proved( t47_parsp_2, parsp_2, [ d3_parsp_2, d2_parsp_2, d1_parsp_2],[],[]).
proved( t49_parsp_2, parsp_2, [ d2_parsp_2, d3_parsp_2, t18_parsp_2, t36_parsp_2, t15_parsp_2, t40_parsp_1, t17_parsp_2, t43_parsp_1, t30_parsp_2, t31_parsp_2, t22_parsp_2],[],[]).
proved( t52_parsp_2, parsp_2, [ t36_parsp_2, t42_parsp_2, t51_parsp_2, t41_parsp_2],[],[]).
proved( t55_parsp_2, parsp_2, [ d4_parsp_2, d2_parsp_2, d12_parsp_1, t15_parsp_2, t36_parsp_2],[],[]).
proved( t56_parsp_2, parsp_2, [ d4_parsp_2, d2_parsp_2, d12_parsp_1, t15_parsp_2, t36_parsp_2],[],[]).
proved( t68_parsp_2, parsp_2, [ t66_parsp_2, t67_parsp_2],[],[]).
proved( t138_partfun1, partfun1, [ t5_subset, t6_boole, d6_partfun1, d7_xboole_0],[ fc4_relat_1, rc2_subset_1],[]).
proved( t146_partfun1, partfun1, [ t3_subset, t131_partfun1, t140_relat_1, t47_partfun1, t88_relat_1, t117_relat_1, t21_relat_1, t1_xboole_1],[ cc1_relset_1, reflexivity_r1_tarski, dt_k7_relat_1],[]).
proved( t62_partfun1, partfun1, [ t2_subset, t5_subset, t6_boole, d5_tarski, t65_relat_1, d5_funct_1, d5_relat_1, d2_zfmisc_1],[ commutativity_k2_tarski, fc7_relat_1, fc8_relat_1, existence_m1_subset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, dt_m2_relset_1, rc1_partfun1, fc4_relat_1, rc2_subset_1],[]).
proved( t79_partfun1, partfun1, [ d3_partfun1, t72_funct_1, t86_funct_1, t87_funct_1],[ dt_k8_relat_1, fc5_funct_1],[]).
proved( t10_partfun2, partfun2, [ t9_partfun2, t4_partfun2, d3_tarski],[],[]).
proved( t17_partfun2, partfun2, [ d4_finseq_4, d8_funct_1],[ cc1_relset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, dt_m2_relset_1],[]).
proved( t35_partfun2, partfun2, [ t34_partfun2, d3_xboole_0],[ commutativity_k3_xboole_0],[]).
proved( t39_partfun2, partfun2, [ t37_partfun2],[ redefinition_m2_relset_1, dt_k3_partfun2],[]).
proved( t58_partfun2, partfun2, [ t5_subset, t6_boole, t7_boole, d7_xboole_0, d10_xboole_0, t55_partfun2, d3_tarski],[ existence_m1_subset_1, spc0_boole],[]).
proved( t29_pasch, pasch, [ d5_analoaf, t5_diraf],[],[]).
proved( t109_pboole, pboole, [ t108_pboole],[ symmetry_r4_pboole],[]).
proved( t114_pboole, pboole, [ t111_pboole],[ symmetry_r4_pboole, dt_k3_pboole],[]).
proved( t129_pboole, pboole, [ t118_pboole, t116_pboole, t62_pboole],[ symmetry_r5_pboole, dt_k4_pboole],[]).
proved( t135_pboole, pboole, [ t2_subset, d11_pboole, d10_pboole],[ existence_m1_subset_1],[]).
proved( t20_pboole, pboole, [ t18_pboole, t16_pboole, t15_pboole],[ commutativity_k2_pboole, dt_k2_pboole],[]).
proved( t22_pboole, pboole, [ t18_pboole, t16_pboole, t15_pboole],[ dt_k2_pboole],[]).
proved( t23_pboole, pboole, [ t17_pboole, t19_pboole, t15_pboole, t21_pboole],[ dt_k3_pboole],[]).
proved( t24_pboole, pboole, [ t16_pboole, t20_pboole, d13_pboole],[ commutativity_k2_pboole, idempotence_k2_pboole, existence_m1_pboole, dt_k2_pboole],[]).
proved( t25_pboole, pboole, [ t19_pboole, t17_pboole, d13_pboole],[ commutativity_k3_pboole, reflexivity_r2_pboole, existence_m1_pboole, dt_k3_pboole],[]).
proved( t26_pboole, pboole, [ t15_pboole, t17_pboole, t16_pboole],[ dt_k2_pboole, dt_k3_pboole],[]).
proved( t36_pboole, pboole, [ t16_pboole, t25_pboole],[ commutativity_k2_pboole, commutativity_k3_pboole, dt_k2_pboole],[]).
proved( t37_pboole, pboole, [ t17_pboole, t24_pboole],[ commutativity_k2_pboole, commutativity_k3_pboole, dt_k3_pboole],[]).
proved( t43_pboole, pboole, [ t16_pboole, t15_pboole],[ dt_k2_pboole],[]).
proved( t44_pboole, pboole, [ t17_pboole, t15_pboole],[ dt_k3_pboole],[]).
proved( t47_pboole, pboole, [ t16_pboole, t24_pboole],[ dt_k2_pboole],[]).
proved( t48_pboole, pboole, [ t17_pboole, t25_pboole],[ dt_k3_pboole],[]).
proved( t51_pboole, pboole, [ d2_funcop_1, d6_pboole, d13_pboole, t19_pboole, t50_pboole, t15_pboole],[ dt_k1_pboole, dt_k3_pboole],[]).
proved( t52_pboole, pboole, [ d2_funcop_1, d6_pboole, t51_pboole, t17_pboole, t15_pboole],[ dt_k3_pboole],[]).
proved( t61_pboole, pboole, [ t60_pboole, t59_pboole, t15_pboole],[ dt_k4_pboole],[]).
proved( t65_pboole, pboole, [ d2_funcop_1, t3_boole, d6_pboole, t5_pboole, d9_pboole],[ reflexivity_r6_pboole, existence_m1_pboole, dt_k1_pboole],[]).
proved( t67_pboole, pboole, [ d2_funcop_1, d6_pboole, t58_pboole, t16_pboole],[ commutativity_k2_pboole, dt_k2_pboole],[]).
proved( t6_pboole, pboole, [ d6_pboole, d2_funcop_1, t5_pboole, t3_pboole],[ dt_k1_pboole],[]).
proved( t95_pboole, pboole, [ d12_pboole, t83_pboole],[ symmetry_r6_pboole, dt_k2_pboole, dt_k3_pboole, dt_k4_pboole, dt_k5_pboole],[]).
proved( t99_pboole, pboole, [ t22_pboole, d12_pboole],[ idempotence_k2_pboole, existence_m1_pboole, dt_k4_pboole],[]).
proved( t22_pre_topc, pre_topc, [ t17_pre_topc],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t23_pre_topc, pre_topc, [ t2_boole, t3_boole, t6_boole, d3_pre_topc, t48_xboole_1, d5_subset_1, t17_pre_topc, d4_subset_1],[ involutiveness_k3_subset_1, redefinition_k6_subset_1, dt_k2_subset_1, rc2_subset_1],[]).
proved( t25_pre_topc, pre_topc, [ t1_boole, t1_subset, t2_boole, t2_subset, t3_boole, d3_pre_topc, d5_subset_1, t17_pre_topc, t48_xboole_1, t83_xboole_1, t42_xboole_1],[ commutativity_k2_xboole_0, symmetry_r1_xboole_0, redefinition_k4_subset_1, fc1_subset_1],[]).
proved( t13_procal_1, procal_1, [ t13_lukasi_1, t34_lukasi_1, t1_procal_1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k11_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t54_procal_1, procal_1, [ t82_cqc_the1, t3_lukasi_1, t25_lukasi_1, t34_lukasi_1, t13_lukasi_1, t14_procal_1, t5_procal_1, t8_procal_1, t4_lukasi_1, t78_cqc_the1],[ redefinition_m2_subset_1, dt_k10_cqc_lang, dt_k12_cqc_lang, dt_k13_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t55_procal_1, procal_1, [ t82_cqc_the1, t54_procal_1, t8_procal_1],[ redefinition_m2_subset_1, dt_k13_cqc_lang, dt_k7_cqc_lang, dt_k8_qc_lang1, fc2_cqc_lang],[]).
proved( t10_projdes1, projdes1, [ d1_projdes1, t1_projdes1, t7_projdes1, t11_collsp, d7_anproj_2, t9_collsp],[],[]).
proved( t19_projdes1, projdes1, [ t1_projdes1, t14_projdes1, t18_projdes1],[],[]).
proved( t1_projdes1, projdes1, [ d7_anproj_2, d8_anproj_2],[],[]).
proved( t6_projdes1, projdes1, [ d8_anproj_2, t9_collsp, d7_anproj_2],[],[]).
proved( t7_projdes1, projdes1, [ t6_projdes1, t9_collsp],[],[]).
proved( t8_projdes1, projdes1, [ t1_projdes1, t6_projdes1, t9_collsp],[],[]).
proved( t11_projpl_1, projpl_1, [ t5_projpl_1],[],[]).
proved( t17_projpl_1, projpl_1, [ t5_projpl_1],[ existence_m1_subset_1],[]).
proved( t19_projpl_1, projpl_1, [ t5_projpl_1, d7_incproj],[],[]).
proved( t1_projpl_1, projpl_1, [ d7_incproj, d8_incproj, d3_projpl_1, d2_projpl_1],[],[]).
proved( t20_projpl_1, projpl_1, [ d7_incproj, d5_incproj, d6_projpl_1, t11_projpl_1, t5_projpl_1],[],[]).
proved( t21_projpl_1, projpl_1, [ d2_projpl_1, d4_projpl_1, d5_incproj, d3_projpl_1],[],[]).
proved( t28_projpl_1, projpl_1, [ t16_projpl_1, d7_incproj, d8_projpl_1],[ dt_k1_projpl_1],[]).
proved( t29_projpl_1, projpl_1, [ t16_projpl_1, t24_projpl_1, d7_incproj, d8_projpl_1],[ dt_k1_projpl_1],[]).
proved( t2_projpl_1, projpl_1, [ d7_incproj, d4_projpl_1],[],[]).
proved( t30_projpl_1, projpl_1, [ t16_projpl_1, t24_projpl_1],[ dt_k1_projpl_1],[]).
proved( t31_projpl_1, projpl_1, [ t24_projpl_1, t16_projpl_1],[ dt_k2_projpl_1],[]).
proved( t32_projpl_1, projpl_1, [ t16_projpl_1],[ existence_m1_subset_1, dt_k1_projpl_1],[]).
proved( t33_projpl_1, projpl_1, [ t16_projpl_1, t32_projpl_1],[ existence_m1_subset_1, dt_k1_projpl_1],[]).
proved( t34_projpl_1, projpl_1, [ t16_projpl_1, t24_projpl_1, d8_projpl_1, d7_incproj],[ dt_k1_projpl_1],[]).
proved( t35_projpl_1, projpl_1, [ t16_projpl_1, d8_projpl_1, d7_incproj],[ existence_m1_subset_1, dt_k1_projpl_1],[]).
proved( t37_projpl_1, projpl_1, [ t16_projpl_1, t24_projpl_1, d8_projpl_1, d14_incproj],[ dt_k1_projpl_1],[]).
proved( t3_projpl_1, projpl_1, [ d4_projpl_1, d2_projpl_1],[],[]).
proved( t6_projpl_1, projpl_1, [ t5_projpl_1],[],[]).
proved( t8_projpl_1, projpl_1, [ d12_incproj, d5_incproj, d7_incproj],[],[]).
proved( t9_projpl_1, projpl_1, [ d10_incproj, d9_incproj, d12_incproj],[],[]).
proved( t13_projred1, projred1, [ d8_incproj],[],[]).
proved( t10_pzfmisc1, pzfmisc1, [ t6_pzfmisc1],[ reflexivity_r6_pboole, existence_m1_pboole, dt_k2_pzfmisc1],[]).
proved( t44_pzfmisc1, pzfmisc1, [ d6_pboole, t5_pboole, d1_pzfmisc1, t3_pboole, d7_pboole, t8_setwiseo, d1_xboole_0, t25_pzfmisc1],[ commutativity_k2_xboole_0, reflexivity_r1_tarski, reflexivity_r6_pboole, existence_m1_pboole, dt_k1_pzfmisc1, dt_k2_pboole, dt_k4_pboole],[]).
proved( t66_pzfmisc1, pzfmisc1, [ t65_pzfmisc1, t15_pboole],[ dt_k11_pboole],[]).
proved( t8_pzfmisc1, pzfmisc1, [ t4_pzfmisc1],[ reflexivity_r6_pboole, existence_m1_pboole, dt_k1_pzfmisc1],[]).
proved( t16_quantal1, quantal1, [ d18_quantal1, t13_quantal1, t11_quantal1, t12_quantal1],[ reflexivity_r3_lattices, dt_k1_quantal1, dt_l1_quantal1, cc1_lattices],[]).
proved( t24_quofield, quofield, [ d12_quofield, t23_quofield, t14_quofield, t19_quofield],[ dt_k10_quofield, dt_k13_quofield, dt_k17_quofield, dt_l2_vectsp_1, dt_l3_vectsp_1, cc5_vectsp_1],[]).
proved( t26_quofield, quofield, [ d13_quofield, t15_quofield],[ cc5_vectsp_1, dt_k18_quofield, dt_l2_vectsp_1, dt_l3_vectsp_1],[]).
proved( t27_quofield, quofield, [ t2_subset, t5_subset, t6_boole, t4_subset, t7_boole, d13_quofield, t15_quofield, t26_quofield, t16_quofield, t20_quofield],[ fc1_xboole_0, existence_m1_subset_1, dt_k11_quofield, dt_k13_quofield, dt_k14_quofield, dt_k18_quofield, dt_l2_vectsp_1, dt_l3_vectsp_1, fc1_subset_1, rc1_subset_1, rc2_subset_1, cc5_vectsp_1],[]).
proved( t10_rcomp_2, rcomp_2, [ t2_tarski, t1_subset, t2_subset, t3_subset, t5_subset, t6_boole, d3_tarski, d10_xboole_0, t2_xreal_1, d2_rcomp_2],[ fraenkel_a_2_0_rcomp_2, existence_m1_subset_1, dt_k2_rcomp_2, fc2_membered, cc11_membered, cc17_membered, spc0_boole, fraenkel_a_2_1_rcomp_2],[]).
proved( t3_rcomp_2, rcomp_2, [ t1_subset, d1_rcomp_2, d1_xreal_0],[ fraenkel_a_2_0_rcomp_2],[]).
proved( t4_rcomp_2, rcomp_2, [ t1_subset, d2_rcomp_2, d1_xreal_0],[ fraenkel_a_2_1_rcomp_2],[]).
proved( t25_real_lat, real_lat, [ t24_real_lat, d6_real_lat, t20_real_lat],[ free_g1_lattices, dt_g1_lattices, dt_u1_lattices, abstractness_v1_lattices, redefinition_m2_relset_1, dt_k1_fraenkel, dt_k1_real_lat, dt_k4_funcsdom, dt_k5_real_lat, dt_m2_fraenkel, fc2_membered],[]).
proved( t30_real_lat, real_lat, [ t21_real_lat, d5_real_lat, t29_real_lat],[ redefinition_m2_relset_1, dt_k1_fraenkel, dt_k2_real_lat, dt_k4_funcsdom, dt_k4_real_lat, dt_m2_fraenkel, fc2_membered],[]).
proved( t13_realset2, realset2, [ t12_realset2, t7_realset2],[],[]).
proved( t21_realset3, realset3, [ t19_realset3, t12_realset2, t6_realset2],[ dt_k4_realset2],[]).
proved( t24_realset3, realset3, [ t20_realset3, t23_realset3, t14_realset2, t16_realset3],[],[]).
proved( t6_realset3, realset3, [ t28_realset2, t4_realset3, t9_realset2, t27_realset2],[ existence_m1_subset_1],[]).
proved( t106_relat_1, relat_1, [ t88_relat_1, t105_relat_1, t102_relat_1, t1_xboole_1],[ dt_k7_relat_1],[]).
proved( t116_relat_1, relat_1, [ t115_relat_1, d3_tarski],[],[]).
proved( t120_relat_1, relat_1, [ t119_relat_1, t28_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t133_relat_1, relat_1, [ t117_relat_1, t132_relat_1, t129_relat_1, t1_xboole_1],[ dt_k8_relat_1],[]).
proved( t27_relat_1, relat_1, [ t25_relat_1, t17_xboole_1, t3_relat_1, t19_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t34_relat_1, relat_1, [ t31_relat_1, t17_xboole_1, t3_relat_1, t19_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t62_relat_1, relat_1, [ t5_subset, t3_subset, t6_boole, d5_tarski, d4_relat_1, d5_relat_1, t46_relat_1, t47_relat_1],[ fc5_relat_1, fc6_relat_1, commutativity_k2_tarski, dt_k5_relat_1, fc4_relat_1, rc2_subset_1],[]).
proved( t6_relat_1, relat_1, [ d5_tarski, t102_zfmisc_1, d1_relat_1],[ commutativity_k2_tarski],[]).
proved( t87_relat_1, relat_1, [ t86_relat_1, d3_tarski],[],[]).
proved( t91_relat_1, relat_1, [ t90_relat_1, t28_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t95_relat_1, relat_1, [ d7_xboole_0, t90_relat_1, t64_relat_1, t60_relat_1],[ commutativity_k3_xboole_0, dt_k7_relat_1],[]).
proved( t10_relset_1, relset_1, [ t21_relat_1, t118_zfmisc_1, d1_relset_1, t1_xboole_1],[ redefinition_m2_relset_1],[]).
proved( t26_relset_1, relset_1, [ t1_subset, t2_subset, t3_subset, t7_boole, t2_xboole_1, d3_tarski, d1_xboole_0, d10_xboole_0, d1_zfmisc_1, d2_zfmisc_1],[ dt_m2_relset_1],[]).
proved( t17_ringcat1, ringcat1, [ d13_ringcat1, d1_tarski],[ fc2_subset_1],[]).
proved( t17_rmod_2, rmod_2, [ t2_subset, t3_subset, t4_subset, t6_boole, d2_rmod_2, d1_rlvect_1],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2, fc1_struct_0, fc1_xboole_0],[]).
proved( t29_rmod_2, rmod_2, [ t1_subset, t18_rmod_2, t22_rmod_2, t3_rlvect_1, d1_rlvect_1],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k6_vectsp_2, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2],[]).
proved( t30_rmod_2, rmod_2, [ t1_subset, t23_rmod_2, t3_rlvect_1, d1_rlvect_1, t18_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k5_rlvect_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2],[]).
proved( t31_rmod_2, rmod_2, [ t1_subset, t3_rlvect_1, t24_rmod_2, d1_rlvect_1, t18_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k6_rlvect_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2],[]).
proved( t38_rmod_2, rmod_2, [ t2_subset, t1_subset, t3_subset, t4_subset, t7_boole, t2_tarski, d2_rmod_2, t3_rlvect_1, d1_rlvect_1, t37_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, existence_m1_subset_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2, fc1_struct_0],[]).
proved( t40_rmod_2, rmod_2, [ t2_subset, t1_subset, t38_rmod_2, d1_rlvect_1, t32_rmod_2, t17_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2, fc1_struct_0],[]).
proved( t5_rmod_2, rmod_2, [ t2_subset, t1_subset, t4_subset, t7_boole, t37_mod_1, d1_rmod_2],[ existence_m1_subset_1, dt_k2_group_1, dt_k5_rlvect_1, dt_l1_vectsp_1, dt_l2_vectsp_1, dt_l3_vectsp_1],[]).
proved( t65_rmod_2, rmod_2, [ t64_rmod_2, t29_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k6_vectsp_2, dt_l3_vectsp_1],[]).
proved( t69_rmod_2, rmod_2, [ t68_rmod_2],[],[]).
proved( t70_rmod_2, rmod_2, [ t29_rmod_2, d1_rlvect_1, t64_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1, dt_m1_rmod_2],[]).
proved( t71_rmod_2, rmod_2, [ t30_rmod_2, t64_rmod_2, t68_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k5_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1],[]).
proved( t73_rmod_2, rmod_2, [ t4_subset, t67_rmod_2, t68_rmod_2],[ dt_l2_struct_0, dt_l2_vectsp_1, dt_k3_rmod_2, dt_k6_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1],[]).
proved( t81_rmod_2, rmod_2, [ t59_rmod_2, d6_rmod_2],[ dt_k3_rmod_2],[]).
proved( t89_rmod_2, rmod_2, [ t63_rmod_2, d6_rmod_2],[ dt_m2_rmod_2],[]).
proved( t90_rmod_2, rmod_2, [ t4_subset, t59_rmod_2, d6_rmod_2, t68_rmod_2],[ dt_m2_rmod_2],[]).
proved( t94_rmod_2, rmod_2, [ t4_subset, t90_rmod_2],[ dt_m2_rmod_2],[]).
proved( t13_rmod_3, rmod_3, [ t12_rmod_3, t47_rmod_2, t48_rmod_2, t9_rmod_3],[ dt_k1_rmod_2, dt_m1_rmod_2],[]).
proved( t14_rmod_3, rmod_3, [ d4_rmod_2, t13_rmod_3, t32_rmod_2],[ dt_l1_group_1, dt_l1_vectsp_1, dt_l2_vectsp_1, abstractness_v3_vectsp_2, dt_l3_vectsp_1],[]).
proved( t16_rmod_3, rmod_3, [ t8_rmod_3, d4_rmod_2],[ dt_l1_group_1, dt_l1_vectsp_1, dt_l2_vectsp_1, abstractness_v3_vectsp_2, dt_k2_rmod_2, dt_l3_vectsp_1],[]).
proved( t25_rmod_3, rmod_3, [ t47_rmod_2, t21_rmod_3, t48_rmod_2, t18_rmod_3],[ dt_k1_rmod_2, dt_m1_rmod_2],[]).
proved( t27_rmod_3, rmod_3, [ d4_rmod_2, t21_rmod_3, t15_rmod_3, t18_rmod_3, t12_rmod_3],[ dt_k2_rmod_2],[]).
proved( t28_rmod_3, rmod_3, [ t17_rmod_3, t16_rmod_3, t8_rmod_3],[ dt_k2_rmod_2],[]).
proved( t29_rmod_3, rmod_3, [ t11_rmod_3, t23_rmod_3],[ dt_k1_rmod_3],[]).
proved( t30_rmod_3, rmod_3, [ t12_rmod_3, t20_rmod_3],[ dt_k2_rmod_3],[]).
proved( t31_rmod_3, rmod_3, [ t21_rmod_3, t11_rmod_3],[ dt_k1_rmod_3],[]).
proved( t37_rmod_3, rmod_3, [ t21_rmod_3, t30_rmod_3, t12_rmod_3],[],[]).
proved( t47_rmod_3, rmod_3, [ t5_subset, t6_boole, d4_rmod_2, t18_rmod_3, t14_rmod_3, t27_rmod_3, t50_rmod_2, d4_rmod_3, t15_rmod_3, t21_rmod_3, t12_rmod_3, d3_rmod_3],[ dt_l1_group_1, dt_l1_vectsp_1, fc1_xboole_0, dt_l2_vectsp_1, abstractness_v3_vectsp_2, dt_k1_rmod_2, dt_k1_rmod_3, dt_k2_rmod_2, dt_l3_vectsp_1, dt_m1_rmod_2, fc1_rmod_3, rc2_subset_1],[]).
proved( t58_rmod_3, rmod_3, [ t57_rmod_3, t46_rmod_3],[],[]).
proved( t6_rmod_5, rmod_5, [ t5_rmod_5],[ dt_l2_struct_0, dt_k1_rlvect_1, dt_l1_rlvect_1, dt_l1_vectsp_2, dt_l3_vectsp_1],[]).
proved( t24_robbins1, robbins1, [ d4_robbins1, t3_robbins1, t10_robbins1, t14_robbins1, d6_robbins1, t16_robbins1, t1_robbins1, t21_robbins1, t20_robbins1, t22_robbins1, t5_robbins1, t17_robbins1],[ commutativity_k5_robbins1, commutativity_k6_robbins1, redefinition_k5_robbins1, redefinition_k6_robbins1, dt_k3_robbins1, dt_k4_robbins1, dt_k7_robbins1, dt_l2_robbins1, cc2_robbins1],[]).
proved( t41_robbins1, robbins1, [ d15_robbins1, d17_robbins1, t40_robbins1, t38_robbins1],[],[]).
proved( t61_robbins1, robbins1, [ d18_lattices, d10_robbins1],[ redefinition_k4_lattices, redefinition_k5_robbins1, dt_k3_robbins1, dt_l2_robbins1, dt_l3_lattices, dt_l3_robbins1],[]).
proved( t6_robbins1, robbins1, [ d4_robbins1, t5_robbins1, d7_robbins1, d5_lattices, t3_robbins1, d14_lattices],[ existence_m1_subset_1, redefinition_k5_robbins1, dt_k3_robbins1, dt_k5_robbins1, dt_l2_robbins1],[]).
proved( t7_robbins1, robbins1, [ t1_robbins1, t5_robbins1, d7_robbins1, t3_robbins1, d14_lattices, d4_robbins1],[ existence_m1_subset_1, redefinition_k5_robbins1, dt_k3_robbins1, dt_k4_robbins1, dt_l2_robbins1, cc1_robbins1],[]).
proved( t19_robbins2, robbins2, [ t14_robbins2, t18_robbins2],[ dt_k1_lattices, dt_k3_robbins1, dt_l2_robbins1],[]).
proved( t27_robbins2, robbins2, [ t14_robbins2, t25_robbins2],[],[]).
proved( t30_robbins2, robbins2, [ t29_robbins2],[ commutativity_k5_robbins1, dt_k3_robbins1, dt_k5_robbins1, dt_l2_robbins1, cc1_robbins2],[]).
proved( t31_robbins2, robbins2, [ t30_robbins2, t24_robbins2, t23_robbins2, t7_robbins2, t5_robbins2, d7_robbins1, t14_robbins2, t19_robbins2, t9_robbins2, t12_robbins2, t3_robbins2, t6_robbins2],[ redefinition_k5_robbins1, dt_k1_lattices, dt_k3_robbins1, dt_l2_robbins1, cc1_robbins2],[]).
proved( t33_robbins2, robbins2, [ t32_robbins2],[ commutativity_k5_robbins1, dt_k3_robbins1, dt_l2_robbins1, cc1_robbins2],[]).
proved( t48_robbins2, robbins2, [ t28_robbins2, t23_robbins2, t44_robbins2, t45_robbins2, t30_robbins2, t47_robbins2],[ commutativity_k5_robbins1, dt_k3_robbins1, dt_k5_robbins1, dt_l2_robbins1, cc1_robbins2],[]).
proved( t4_robbins2, robbins2, [ t3_robbins2, t2_robbins2],[],[]).
proved( t55_robbins2, robbins2, [ t23_robbins2, t45_robbins2, t44_robbins2, t42_robbins2, t35_robbins2, t53_robbins2],[ commutativity_k5_robbins1, dt_k3_robbins1, dt_k5_robbins1, dt_l2_robbins1, cc1_robbins2],[]).
proved( t57_robbins2, robbins2, [ t55_robbins2],[ commutativity_k5_robbins1, dt_k5_robbins1, cc1_robbins2],[]).
proved( t6_robbins2, robbins2, [ t3_robbins2, t5_robbins2],[ dt_k1_lattices, dt_k3_robbins1, dt_l2_robbins1],[]).
proved( t8_robbins2, robbins2, [ t7_robbins2],[ dt_k1_lattices, dt_k3_robbins1, dt_l2_robbins1],[]).
proved( t18_robbins3, robbins3, [ d3_robbins1],[ fc1_struct_0, redefinition_k8_funct_2, redefinition_m2_relset_1, dt_l1_robbins1, dt_u1_robbins1],[]).
proved( t22_robbins3, robbins3, [ d10_robbins3, d3_lattices],[ dt_l1_robbins3, dt_l3_robbins3],[]).
proved( t52_setfam_1, setfam_1, [ t51_setfam_1],[ involutiveness_k7_setfam_1, dt_k7_setfam_1],[]).
proved( t7_setfam_1, setfam_1, [ t6_setfam_1, t4_setfam_1, d3_tarski],[],[]).
proved( t8_setfam_1, setfam_1, [ d1_setfam_1, d3_tarski, d1_xboole_0],[],[]).
proved( t68_setwiseo, setwiseo, [ t1_boole, t2_subset, t4_boole, t67_setwiseo, t6_setwiseo, t64_zfmisc_1],[ commutativity_k2_xboole_0, existence_m1_subset_1, redefinition_k2_setwiseo, dt_k11_setwiseo, fc1_finset_1],[]).
proved( t6_setwiseo, setwiseo, [ t2_subset, t1_boole, t4_boole, t4_xboole_1, d2_xboole_0, t65_zfmisc_1, t40_xboole_1, t64_zfmisc_1, t56_zfmisc_1, t83_xboole_1, d1_xboole_0],[ existence_m1_subset_1, commutativity_k2_xboole_0, idempotence_k2_xboole_0, fc1_finset_1],[]).
proved( t13_sheffer1, sheffer1, [ t3_sheffer1, t6_sheffer1, t10_sheffer1, t11_sheffer1, t12_sheffer1, d2_sheffer1, d5_sheffer1, d9_lattices, t5_sheffer1, t17_lattices, t7_sheffer1, t8_sheffer1, t18_lattices, d3_lattices, d14_lattices, t23_lattices],[ redefinition_k4_lattices, dt_k1_sheffer1, dt_k2_sheffer1, dt_k3_sheffer1, dt_l3_lattices],[]).
proved( t30_sheffer1, sheffer1, [ d15_sheffer1, d16_sheffer1],[ dt_k5_sheffer1, dt_l3_sheffer1],[]).
proved( t112_sheffer2, sheffer2, [ t70_sheffer2, t83_sheffer2, t105_sheffer2, t104_sheffer2, t81_sheffer2],[],[]).
proved( t113_sheffer2, sheffer2, [ t70_sheffer2, t83_sheffer2, t97_sheffer2, t81_sheffer2],[],[]).
proved( t121_sheffer2, sheffer2, [ t83_sheffer2, t92_sheffer2, t119_sheffer2, t81_sheffer2],[ dt_k5_sheffer1],[]).
proved( t124_sheffer2, sheffer2, [ d13_sheffer1, t83_sheffer2, t119_sheffer2, d14_sheffer1, t105_sheffer2],[ dt_k5_sheffer1],[]).
proved( t126_sheffer2, sheffer2, [ t83_sheffer2, t92_sheffer2, t121_sheffer2],[ dt_k5_sheffer1],[]).
proved( t128_sheffer2, sheffer2, [ d13_sheffer1, t121_sheffer2, d14_sheffer1, t81_sheffer2],[ dt_k5_sheffer1],[]).
proved( t135_sheffer2, sheffer2, [ t83_sheffer2, d13_sheffer1, t121_sheffer2, d15_sheffer1, t74_sheffer2],[ dt_k5_sheffer1],[]).
proved( t136_sheffer2, sheffer2, [ t83_sheffer2, t121_sheffer2, d14_sheffer1, t81_sheffer2],[ dt_k5_sheffer1],[]).
proved( t22_sheffer2, sheffer2, [ t15_sheffer2, t20_sheffer2],[],[]).
proved( t26_sheffer2, sheffer2, [ t20_sheffer2, t22_sheffer2, t25_sheffer2],[ dt_k5_sheffer1],[]).
proved( t27_sheffer2, sheffer2, [ t20_sheffer2, t24_sheffer2, t25_sheffer2],[ dt_k5_sheffer1],[]).
proved( t28_sheffer2, sheffer2, [ t20_sheffer2, t27_sheffer2],[ dt_k5_sheffer1],[]).
proved( t32_sheffer2, sheffer2, [ t20_sheffer2, t22_sheffer2, t27_sheffer2],[ dt_k5_sheffer1],[]).
proved( t37_sheffer2, sheffer2, [ t20_sheffer2],[ dt_k5_sheffer1],[]).
proved( t45_sheffer2, sheffer2, [ t20_sheffer2, t25_sheffer2, t42_sheffer2, t36_sheffer2],[ dt_k5_sheffer1],[]).
proved( t46_sheffer2, sheffer2, [ t20_sheffer2, t25_sheffer2, t32_sheffer2, t42_sheffer2],[ dt_k5_sheffer1],[]).
proved( t47_sheffer2, sheffer2, [ t20_sheffer2, t11_sheffer2, t38_sheffer2, t42_sheffer2],[ dt_k5_sheffer1],[]).
proved( t4_sheffer2, sheffer2, [ t3_sheffer2, t1_sheffer2, d16_sheffer1],[ dt_k6_sheffer1],[]).
proved( t59_sheffer2, sheffer2, [ t20_sheffer2, t16_sheffer2, t15_sheffer2, t30_sheffer2, t38_sheffer2, t32_sheffer2, t43_sheffer2, t5_sheffer2, t22_sheffer2, t21_sheffer2, t23_sheffer2, t24_sheffer2, t6_sheffer2],[ dt_k5_sheffer1],[]).
proved( t5_sheffer2, sheffer2, [ t3_sheffer2, t4_sheffer2],[],[]).
proved( t73_sheffer2, sheffer2, [ d14_sheffer1, d15_sheffer1],[],[]).
proved( t75_sheffer2, sheffer2, [ d14_sheffer1, d15_sheffer1],[],[]).
proved( t7_sheffer2, sheffer2, [ d1_sheffer2, t5_sheffer2],[],[]).
proved( t46_subset_1, subset_1, [ t7_boole, t49_xboole_1, t7_xboole_1, t17_xboole_1, d2_subset_1, t43_subset_1, d5_subset_1, t44_subset_1, d1_zfmisc_1, t12_xboole_1],[ commutativity_k2_xboole_0, idempotence_k3_xboole_0, symmetry_r1_xboole_0],[]).
proved( t55_subset_1, subset_1, [ t6_boole, t7_boole, d1_zfmisc_1, d3_tarski, d2_subset_1, d1_tarski],[],[]).
proved( t104_supinf_1, supinf_1, [ t4_subset, d10_supinf_1, t17_xboole_1, d3_tarski, t93_supinf_1],[ commutativity_k3_xboole_0, connectedness_r1_supinf_1, redefinition_k5_subset_1, dt_m2_supinf_1],[]).
proved( t70_supinf_1, supinf_1, [ t2_boole, t2_subset, t4_subset, t5_subset, t6_boole, d1_supinf_1, d9_supinf_1, d7_supinf_1, d11_supinf_1, d1_tarski, t39_zfmisc_1, d3_xboole_0, d3_tarski, t64_supinf_1],[ commutativity_k3_xboole_0, existence_m1_subset_1, redefinition_k4_supinf_1, redefinition_k6_supinf_1, dt_m1_supinf_1, rc2_subset_1, fc1_xboole_0],[]).
proved( t71_supinf_1, supinf_1, [ t2_boole, t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, d1_supinf_1, d3_supinf_1, t18_supinf_1, d10_supinf_1, d7_supinf_1, t2_supinf_1, d12_supinf_1, d1_xreal_0, d1_tarski, t39_zfmisc_1, d3_xboole_0, d3_tarski],[ commutativity_k3_xboole_0, existence_m1_subset_1, redefinition_k4_supinf_1, redefinition_k5_supinf_1, redefinition_k6_supinf_1, dt_k4_supinf_1, dt_k6_supinf_1, dt_m2_supinf_1, fc1_supinf_1, rc1_xreal_0, rc2_subset_1, fc1_xboole_0],[]).
proved( t16_symsp_1, symsp_1, [ t11_symsp_1, t16_rlvect_1, t13_symsp_1],[ dt_l2_struct_0, redefinition_k4_rlvect_1, dt_k5_rlvect_1, dt_l1_rlvect_1, dt_l1_symsp_1, dt_l3_vectsp_1, dt_l4_vectsp_1],[]).
proved( t35_symsp_1, symsp_1, [ t34_symsp_1, d11_rlvect_1, t16_rlvect_1, t11_symsp_1],[ dt_l2_struct_0, dt_l1_rlvect_1, dt_l1_symsp_1, dt_l3_vectsp_1, dt_l4_vectsp_1],[]).
proved( t6_t_0topsp, t_0topsp, [ t4_subset, t5_t_0topsp, d5_pre_topc],[ dt_k3_t_0topsp, dt_u1_pre_topc, fraenkel_a_1_0_t_0topsp],[]).
proved( t14_tdlat_1, tdlat_1, [ t5_subset, t6_boole, t52_pre_topc, d3_tarski, d6_tops_1, t41_pre_topc, t44_tops_1],[ cc1_tops_1, rc2_subset_1, fc6_membered],[]).
proved( t18_tdlat_1, tdlat_1, [ t5_subset, t6_boole, t52_pre_topc, d7_tops_1, t41_pre_topc],[ cc1_tops_1, rc2_subset_1, fc5_tops_1, fc6_membered],[]).
proved( t19_tdlat_1, tdlat_1, [ t3_subset, t52_pre_topc, t43_tops_1, d7_tops_1, t12_pre_topc],[ reflexivity_r1_tarski, dt_k2_pre_topc, dt_l1_pre_topc, fc8_tops_1],[]).
proved( t20_tdlat_1, tdlat_1, [ t5_subset, t6_boole, t52_pre_topc, t41_pre_topc, d8_tops_1],[ cc1_tops_1, rc2_subset_1, fc5_tops_1, fc6_membered],[]).
proved( t23_tdlat_1, tdlat_1, [ d8_tops_1, t5_tdlat_1],[ dt_k1_tops_1, dt_k6_pre_topc],[]).
proved( t3_tdlat_1, tdlat_1, [ t49_pre_topc, t26_tops_1, t44_tops_1],[ dt_k1_tops_1, dt_k6_pre_topc],[]).
proved( t37_tdlat_3, tdlat_3, [ t36_tdlat_3, t11_tdlat_3, t10_tdlat_3, t34_tdlat_3, t32_tdlat_3, t33_tdlat_3],[ reflexivity_r1_tarski],[]).
proved( t3_tdlat_3, tdlat_3, [ t2_tdlat_3],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t4_tdlat_3, tdlat_3, [ d1_tops_1],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t9_tdlat_3, tdlat_3, [ d6_tops_1, d7_tops_1, d8_tops_1, t45_tops_1, t1_xboole_1, d10_xboole_0],[ dt_k6_pre_topc],[]).
proved( t10_tex_1, tex_1, [ d2_tex_1, d3_tex_1, d2_tdlat_3],[ abstractness_v1_pre_topc, dt_k1_tex_1, free_g1_pre_topc, dt_k2_tex_1, fc3_tex_1],[]).
proved( t16_tex_1, tex_1, [ t84_tops_1, t14_tex_1, d4_tops_1, t2_tops_3],[ dt_k3_subset_1],[]).
proved( t17_tex_1, tex_1, [ t84_tops_1, t14_tex_1],[],[]).
proved( t19_tex_1, tex_1, [ d1_pcomps_1, d1_tdlat_3],[ abstractness_v1_pre_topc, free_g1_pre_topc, redefinition_k1_pcomps_1, dt_k1_pcomps_1, dt_k2_pcomps_1, fc5_tex_1],[]).
proved( t18_tex_2, tex_2, [ d2_tdlat_3],[ free_g1_pre_topc, dt_u1_pre_topc],[]).
proved( t4_tex_2, tex_2, [ d7_realset2],[],[]).
proved( t66_tex_2, tex_2, [ t5_subset, t6_boole, t37_tex_2, t65_tex_2],[ fc6_membered, rc2_subset_1],[]).
proved( t79_tex_2, tex_2, [ d20_borsuk_1, t78_tex_2],[],[]).
proved( t8_tex_2, tex_2, [ t2_subset, t7_boole, d1_tex_1],[ cc3_tex_2, redefinition_k1_struct_0, dt_k1_struct_0, fc1_tex_2, fc1_struct_0],[]).
proved( t29_tex_3, tex_3, [ d3_tex_3],[],[]).
proved( t35_tex_3, tex_3, [ d4_tex_3],[],[]).
proved( t39_tex_3, tex_3, [ t1_tsep_1, t35_tex_3, t26_tops_3],[],[]).
proved( t3_tex_3, tex_3, [ t2_tex_3],[ symmetry_r2_tsep_2],[]).
proved( t5_tex_3, tex_3, [ t4_tex_3],[ symmetry_r2_tsep_2],[]).
proved( t20_tex_4, tex_4, [ d8_tex_4, t14_tex_4],[],[]).
proved( t44_tex_4, tex_4, [ t4_subset, t37_zfmisc_1, d12_tex_4, t1_xboole_1, d10_xboole_0, t48_pre_topc],[ redefinition_k1_struct_0, dt_k1_struct_0, dt_l1_pre_topc],[]).
proved( t65_tex_4, tex_4, [ t64_tex_4],[],[]).
proved( t84_tex_4, tex_4, [ t82_tex_4, t83_tex_4, t39_pre_topc],[ dt_k7_tex_4],[]).
proved( t133_tmap_1, tmap_1, [ t129_tmap_1, t87_tsep_1, t60_tmap_1, t126_tmap_1, t68_tmap_1, t78_tmap_1, t5_tsep_1],[ symmetry_r4_tsep_1, abstractness_v1_pre_topc, redefinition_m2_relset_1, dt_k1_tsep_1, dt_k2_tmap_1],[]).
proved( t139_tmap_1, tmap_1, [ t60_tmap_1, t138_tmap_1, t78_tmap_1],[ dt_k1_tsep_1],[]).
proved( t152_tmap_1, tmap_1, [ t151_tmap_1, t87_tsep_1],[ symmetry_r4_tsep_1, redefinition_m2_relset_1, dt_k10_tmap_1],[]).
proved( t153_tmap_1, tmap_1, [ t151_tmap_1, t88_tsep_1],[ symmetry_r4_tsep_1, redefinition_m2_relset_1, dt_k10_tmap_1],[]).
proved( t15_tmap_1, tmap_1, [ t2_subset, t3_subset, t4_subset, t39_pre_topc],[ reflexivity_r1_tarski, dt_l1_pre_topc, dt_m1_pre_topc, fc1_struct_0],[]).
proved( t25_tmap_1, tmap_1, [ t23_tsep_1, t2_tsep_1],[ dt_m1_pre_topc],[]).
proved( t55_tmap_1, tmap_1, [ t49_tmap_1],[],[]).
proved( t76_tmap_1, tmap_1, [ d3_tmap_1, t62_tmap_1, d4_tmap_1],[ dt_m1_pre_topc, cc1_pre_topc],[]).
proved( t80_tmap_1, tmap_1, [ d4_tmap_1, d3_tmap_1],[ dt_m1_pre_topc, cc1_pre_topc],[]).
proved( t81_tmap_1, tmap_1, [ d3_tmap_1, d4_tmap_1, t64_tmap_1],[ dt_m1_pre_topc, cc1_pre_topc],[]).
proved( t90_tmap_1, tmap_1, [ t89_tmap_1, t79_tmap_1],[],[]).
proved( t20_tops_1, tops_1, [ t44_subset_1],[],[]).
proved( t22_tops_1, tops_1, [ t5_subset, t3_subset, t7_boole, t44_pre_topc, d3_tarski, d1_setfam_1, t41_pre_topc],[ redefinition_k6_setfam_1, fc6_membered],[]).
proved( t27_tops_1, tops_1, [ t3_subset, d10_xboole_0, t48_pre_topc, d3_pre_topc],[ reflexivity_r1_tarski, dt_k6_pre_topc, dt_l1_pre_topc],[]).
proved( t29_tops_1, tops_1, [ d6_pre_topc, t17_pre_topc],[ dt_l1_pre_topc],[]).
proved( t30_tops_1, tops_1, [ t29_tops_1],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t35_tops_1, tops_1, [ t52_pre_topc, t34_tops_1],[ redefinition_k5_subset_1, dt_k5_subset_1, dt_k6_pre_topc],[]).
proved( t36_tops_1, tops_1, [ t2_subset, t5_subset, t3_subset, t4_subset, t6_boole, t7_boole, t52_pre_topc, t50_pre_topc, d10_xboole_0, d3_tarski, d4_tarski, t8_xboole_1, t7_xboole_1],[ reflexivity_r1_tarski, existence_m1_subset_1, redefinition_k4_subset_1, fc6_membered],[]).
proved( t38_tops_1, tops_1, [ d1_pre_topc, d5_pre_topc],[ dt_k5_subset_1],[]).
proved( t43_tops_1, tops_1, [ t3_subset, t6_boole, t52_pre_topc, t23_pre_topc, d3_pre_topc, t27_pre_topc, d1_tops_1],[ free_g1_struct_0, dt_g1_struct_0, abstractness_v1_struct_0, involutiveness_k3_subset_1, reflexivity_r1_tarski, dt_k3_subset_1, dt_k6_subset_1, dt_l1_pre_topc, fc1_tops_1, fc1_pre_topc],[]).
proved( t47_tops_1, tops_1, [ t3_subset, t5_subset, t6_boole, t7_boole, t8_tops_1, d3_tarski, t41_pre_topc, d1_tops_1, t48_pre_topc, d3_pre_topc, d10_xboole_0],[ free_g1_struct_0, dt_g1_struct_0, abstractness_v1_struct_0, fc6_membered, involutiveness_k3_subset_1, reflexivity_r1_tarski, dt_k6_pre_topc, fc1_pre_topc],[]).
proved( t82_tops_1, tops_1, [ t81_tops_1, d3_tops_1],[ commutativity_k5_subset_1, dt_k5_subset_1],[]).
proved( t18_tops_3, tops_3, [ d4_tops_1],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t1_tops_3, tops_3, [ t3_subset, d2_pre_topc, d3_pre_topc, t26_subset_1, t27_pre_topc, d7_xboole_0, t28_xboole_1],[ dt_l1_pre_topc],[]).
proved( t20_tops_3, tops_3, [ t3_subset, d3_pre_topc, t52_pre_topc, d3_tops_1, t26_xboole_1, t17_xboole_1, t81_tops_1, d10_xboole_0, t1_xboole_1],[ commutativity_k3_xboole_0, idempotence_k3_xboole_0, reflexivity_r1_tarski, redefinition_k5_subset_1, dt_k6_pre_topc, dt_l1_pre_topc, fc2_tops_1, fc8_tops_1, fc9_tops_1],[]).
proved( t2_tops_3, tops_3, [ t3_subset, t4_boole, d2_pre_topc, d3_pre_topc, t1_tops_3, t8_tops_1, t37_xboole_1],[ involutiveness_k3_subset_1, dt_l1_pre_topc],[]).
proved( t40_tops_3, tops_3, [ t39_tops_3],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t47_tops_3, tops_3, [ t18_tops_3, t45_tops_3, t32_subset_1],[ involutiveness_k3_subset_1, dt_k3_subset_1],[]).
proved( t19_transgeo, transgeo, [ t88_funct_2, t23_funct_2, d1_transgeo, t11_transgeo, t17_transgeo, t66_funct_1, t65_funct_1],[ dt_k6_relat_1, cc1_relset_1, cc1_funct_2, cc2_funct_2, cc4_funct_2, fc2_partfun1, redefinition_k1_transgeo, redefinition_k5_funct_2, redefinition_k6_funct_2, redefinition_k6_partfun1, redefinition_k7_relset_1, redefinition_m2_relset_1, dt_k2_funct_1, dt_k6_funct_2, dt_k6_partfun1, dt_m2_relset_1],[]).
proved( t20_transgeo, transgeo, [ t5_subset, t2_subset, t3_subset, t6_boole, t23_funct_2, d1_transgeo, t11_transgeo, t66_funct_1, t65_funct_1, d1_funct_2, t4_funct_2, t12_relset_1, d5_funct_1],[ dt_k6_relat_1, cc1_relset_1, cc1_funct_2, cc2_funct_2, cc4_funct_2, fc2_partfun1, existence_m1_subset_1, redefinition_k1_transgeo, redefinition_k4_relset_1, redefinition_k6_funct_2, redefinition_k6_partfun1, redefinition_k7_relset_1, redefinition_m2_relset_1, dt_k2_funct_1, dt_k6_funct_2, dt_k6_partfun1, dt_m2_relset_1, fc1_xboole_0],[]).
proved( t42_transgeo, transgeo, [ t35_transgeo, d6_transgeo],[],[]).
proved( t45_transgeo, transgeo, [ d6_transgeo, t38_transgeo, t40_transgeo],[ redefinition_k6_funct_2, redefinition_m2_relset_1, dt_k6_funct_2],[]).
proved( t67_transgeo, transgeo, [ d9_transgeo, t62_transgeo],[],[]).
proved( t99_transgeo, transgeo, [ d11_transgeo, t86_transgeo],[ cc1_funct_2, cc4_funct_2, redefinition_k6_partfun1, redefinition_m2_relset_1, dt_k6_partfun1, fc2_partfun1],[]).
proved( t11_tsep_1, tsep_1, [ d14_borsuk_1],[],[]).
proved( t4_tsep_1, tsep_1, [ t35_borsuk_1, t4_topmetr],[ dt_m1_pre_topc],[]).
proved( t13_tsep_2, tsep_2, [ t12_tsep_2],[ symmetry_r2_tsep_2],[]).
proved( t15_tsep_2, tsep_2, [ t14_tsep_2],[ symmetry_r2_tsep_2, dt_k4_subset_1, dt_k5_subset_1],[]).
proved( t18_tsep_2, tsep_2, [ t16_tsep_2, t51_tsep_1],[ symmetry_r1_connsp_1, symmetry_r2_tsep_1],[]).
proved( t19_tsep_2, tsep_2, [ t51_tsep_1, t16_tsep_2],[ symmetry_r2_tsep_1],[]).
proved( t38_tsep_2, tsep_2, [ t37_tsep_2],[ symmetry_r4_tsep_2, dt_k1_tsep_1, dt_k2_tsep_1],[]).
proved( t41_tsep_2, tsep_2, [ t85_tsep_1, t39_tsep_2],[ symmetry_r1_tsep_1, symmetry_r3_tsep_1, symmetry_r4_tsep_1, symmetry_r4_tsep_2, redefinition_r4_tsep_2],[]).
proved( t12_tsp_2, tsp_2, [ t10_tsep_1, t11_tsp_2],[ redefinition_m2_tsp_1],[]).
proved( t5_tsp_2, tsp_2, [ t3_subset, t62_tex_4, t66_tex_4, d5_tsp_2, t17_xboole_1, d10_xboole_0, t19_xboole_1],[ commutativity_k3_xboole_0, reflexivity_r1_tarski, redefinition_k5_subset_1],[]).
proved( t6_tsp_2, tsp_2, [ t3_subset, t58_tex_4, d5_tsp_2, t67_tex_4, t28_xboole_1],[ commutativity_k3_xboole_0, redefinition_k5_subset_1, dt_k3_tex_4],[]).
proved( t7_tsp_2, tsp_2, [ t5_tsp_2],[ dt_k6_pre_topc, fc2_tops_1],[]).
proved( t8_tsp_2, tsp_2, [ t6_tsp_2],[ dt_k1_tops_1, fc6_tops_1],[]).
proved( t25_vectsp10, vectsp10, [ t2_tarski, t5_subset, t4_subset, t6_boole, t24_vectsp10, d6_vectsp_4, t93_vectsp_4],[ dt_m2_vectsp_4, rc2_subset_1, fc1_xboole_0],[]).
proved( t38_vectsp_2, vectsp_2, [ t78_rlsub_2],[ commutativity_k4_rlvect_1, redefinition_k4_rlvect_1, dt_k6_rlvect_1],[]).
proved( t42_vectsp_2, vectsp_2, [ t40_vectsp_2, d19_vectsp_1, d4_group_1],[ dt_l1_vectsp_1, dt_l2_vectsp_1, dt_l3_vectsp_1, cc3_vectsp_1],[]).
proved( t49_vectsp_2, vectsp_2, [ t43_vectsp_2, t45_vectsp_2],[ dt_k1_vectsp_2, dt_l2_vectsp_1, dt_l3_vectsp_1, cc4_vectsp_1],[]).
proved( t50_vectsp_2, vectsp_2, [ d19_vectsp_1, d8_vectsp_2, t49_vectsp_2],[ dt_k1_vectsp_2, dt_k2_group_1, dt_l1_vectsp_1, dt_l2_vectsp_1, dt_l3_vectsp_1, cc4_vectsp_1],[]).
proved( t52_vectsp_2, vectsp_2, [ d8_vectsp_2, t43_vectsp_2],[],[]).
proved( t23_vectsp_4, vectsp_4, [ t2_subset, t3_subset, t4_subset, t18_vectsp_4, t59_vectsp_1, t22_vectsp_4, d2_vectsp_4],[ dt_l2_struct_0, dt_l2_vectsp_1, existence_m1_subset_1, dt_k2_group_1, dt_k5_rlvect_1, dt_l1_group_1, dt_l1_rlvect_1, dt_l1_vectsp_1, dt_l3_vectsp_1, dt_l4_vectsp_1, dt_m1_vectsp_4, fc1_struct_0],[]).
proved( t29_vectsp_4, vectsp_4, [ t1_subset, t18_vectsp_4, t22_vectsp_4, t3_rlvect_1, d1_rlvect_1],[ dt_l2_struct_0, dt_k6_vectsp_1, dt_l1_rlvect_1, dt_l3_vectsp_1, dt_l4_vectsp_1, dt_m1_vectsp_4],[]).
proved( t30_vectsp_4, vectsp_4, [ t1_subset, t23_vectsp_4, t3_rlvect_1, t18_vectsp_4, d1_rlvect_1],[ dt_l2_struct_0, dt_k5_rlvect_1, dt_l1_rlvect_1, dt_l3_vectsp_1, dt_l4_vectsp_1, dt_m1_vectsp_4],[]).
proved( t31_vectsp_4, vectsp_4, [ t2_subset, t1_subset, t24_vectsp_4, d1_rlvect_1, t18_vectsp_4],[ dt_l2_struct_0, dt_k6_rlvect_1, dt_l1_rlvect_1, dt_l3_vectsp_1, dt_l4_vectsp_1, dt_m1_vectsp_4, fc1_struct_0],[]).
proved( t40_vectsp_4, vectsp_4, [ t38_vectsp_4, t32_vectsp_4, t17_vectsp_4],[],[]).
proved( t5_vectsp_4, vectsp_4, [ t2_subset, t1_subset, t4_subset, t7_boole, t59_vectsp_1, d1_vectsp_4],[ dt_l2_vectsp_1, existence_m1_subset_1, dt_k2_group_1, dt_k5_rlvect_1, dt_l1_vectsp_1, dt_l3_vectsp_1],[]).
proved( t65_vectsp_4, vectsp_4, [ t64_vectsp_4, t29_vectsp_4],[ dt_l2_struct_0, dt_k6_vectsp_1, dt_l1_rlvect_1, dt_l3_vectsp_1],[]).
proved( t6_vectsp_4, vectsp_4, [ t4_subset, t5_vectsp_4, d1_vectsp_4, d11_rlvect_1],[ dt_l2_vectsp_1, dt_l1_group_1, dt_l1_vectsp_1, dt_l3_vectsp_1, dt_l4_vectsp_1],[]).
proved( t84_vectsp_4, vectsp_4, [ t59_vectsp_4, d6_vectsp_4],[ dt_k3_vectsp_4],[]).
proved( t92_vectsp_4, vectsp_4, [ t63_vectsp_4, d6_vectsp_4],[ dt_m2_vectsp_4],[]).
proved( t93_vectsp_4, vectsp_4, [ t4_subset, t59_vectsp_4, d6_vectsp_4, t70_vectsp_4],[ dt_m2_vectsp_4],[]).
proved( t97_vectsp_4, vectsp_4, [ t4_subset, t93_vectsp_4],[ dt_m2_vectsp_4],[]).
proved( t13_vectsp_5, vectsp_5, [ t12_vectsp_5, t47_vectsp_4, t48_vectsp_4, t9_vectsp_5],[ dt_k1_vectsp_4, dt_m1_vectsp_4],[]).
proved( t14_vectsp_5, vectsp_5, [ d4_vectsp_4, t13_vectsp_5],[ dt_k2_vectsp_4],[]).
proved( t16_vectsp_5, vectsp_5, [ d4_vectsp_4, t8_vectsp_5],[ dt_l2_struct_0, abstractness_v11_vectsp_1, dt_k2_vectsp_4, dt_l1_rlvect_1, dt_l3_vectsp_1],[]).
proved( t17_vectsp_5, vectsp_5, [ d2_vectsp_5],[ idempotence_k3_xboole_0],[]).
proved( t25_vectsp_5, vectsp_5, [ t47_vectsp_4, t21_vectsp_5, t48_vectsp_4],[ commutativity_k2_vectsp_5, dt_k1_vectsp_4, dt_m1_vectsp_4],[]).
proved( t27_vectsp_5, vectsp_5, [ d4_vectsp_4, t21_vectsp_5, t15_vectsp_5, t12_vectsp_5],[ commutativity_k2_vectsp_5, dt_k2_vectsp_4],[]).
proved( t28_vectsp_5, vectsp_5, [ t16_vectsp_5, t17_vectsp_5, t8_vectsp_5],[ dt_k2_vectsp_4],[]).
proved( t29_vectsp_5, vectsp_5, [ t11_vectsp_5, t23_vectsp_5],[ dt_k1_vectsp_5],[]).
proved( t30_vectsp_5, vectsp_5, [ t12_vectsp_5, t20_vectsp_5],[ dt_k2_vectsp_5],[]).
proved( t31_vectsp_5, vectsp_5, [ t21_vectsp_5, t11_vectsp_5],[ dt_k1_vectsp_5],[]).
proved( t37_vectsp_5, vectsp_5, [ t31_vectsp_5, t21_vectsp_5, t12_vectsp_5],[],[]).
proved( t48_vectsp_5, vectsp_5, [ d5_vectsp_5, t47_vectsp_5],[ dt_m1_vectsp_5],[]).
proved( t53_vectsp_5, vectsp_5, [ t48_vectsp_5, t47_vectsp_5],[ dt_m1_vectsp_5],[]).
proved( t67_vectsp_5, vectsp_5, [ d6_vectsp_5, t48_vectsp_5],[ dt_k4_vectsp_5, dt_m1_vectsp_5],[]).
proved( t68_vectsp_5, vectsp_5, [ d6_vectsp_5, t48_vectsp_5],[ dt_k4_vectsp_5, dt_m1_vectsp_5],[]).
proved( t27_vectsp_7, vectsp_7, [ d3_vectsp_7, t22_vectsp_7],[],[]).
proved( t7_vectsp_7, vectsp_7, [ t6_vectsp_7],[ dt_k1_rlvect_1, dt_l1_rlvect_1, dt_l2_struct_0, dt_l3_vectsp_1, dt_l4_vectsp_1],[]).
proved( t67_waybel_0, waybel_0, [ t2_subset, t5_subset, t2_boole, t6_boole, d38_waybel_0, t31_funct_2, t55_funct_1, t66_waybel_0, d1_funct_2, d3_xboole_0],[ cc1_relset_1, commutativity_k3_xboole_0, existence_m1_subset_1, redefinition_k4_relset_1, redefinition_m2_relset_1, dt_l1_orders_2, dt_m2_relset_1, fc1_struct_0, rc2_finset_1, fc1_xboole_0],[]).
proved( t6_waybel_0, waybel_0, [ t2_subset, t1_subset, t7_boole, d3_waybel_0, t64_yellow_0],[],[]).
proved( t7_waybel_0, waybel_0, [ t2_subset, t1_subset, t7_boole, d4_waybel_0, t65_yellow_0],[],[]).
proved( t1_waybel10, waybel10, [ t27_sysrel],[ involutiveness_k4_relat_1, dt_k4_relat_1],[]).
proved( t34_waybel11, waybel11, [ d4_waybel11, t33_waybel11],[ dt_l1_waybel_9, cc1_lattice3],[]).
proved( t5_waybel15, waybel15, [ t45_yellow_0, t25_orders_2],[ dt_k4_yellow_0],[]).
proved( t34_waybel16, waybel16, [ t17_yellow_0, t24_waybel16],[],[]).
proved( t10_waybel_1, waybel_1, [ d12_waybel_1, d11_waybel_1],[],[]).
proved( t17_waybel_1, waybel_1, [ d32_waybel_0, t69_waybel_0, t15_waybel_1, t13_waybel_1, d11_waybel_1],[],[]).
proved( t18_waybel_1, waybel_1, [ d33_waybel_0, t72_waybel_0, t14_waybel_1, t16_waybel_1, d12_waybel_1],[],[]).
proved( t2_waybel_1, waybel_1, [ t23_yellow_0, t26_orders_2],[ dt_k12_lattice3],[]).
proved( t44_waybel_1, waybel_1, [ d13_waybel_1, t21_waybel_1, t19_waybel_1, t22_waybel_1, t9_waybel_1, d15_waybel_1],[],[]).
proved( t74_waybel_1, waybel_1, [ t72_waybel_1, t25_orders_2],[ cc5_waybel_1],[]).
proved( t75_waybel_1, waybel_1, [ t70_waybel_1, t23_yellow_0],[ redefinition_k12_lattice3, dt_k12_lattice3, cc5_waybel_1],[]).
proved( t86_waybel_1, waybel_1, [ t85_waybel_1, t84_waybel_1, t24_orders_2, t15_lattice3, t26_orders_2],[ dt_k7_waybel_1, cc5_waybel_1],[]).
proved( t18_waybel21, waybel21, [ t32_yellow_2],[ cc2_waybel10],[]).
proved( t19_waybel21, waybel21, [ t33_yellow_2],[ cc3_waybel10],[]).
proved( t35_waybel23, waybel23, [ t32_waybel23],[ dt_k6_waybel_0, cc1_lattice3, fc9_waybel_0, fc13_waybel_0],[]).
proved( t38_waybel23, waybel23, [ t31_waybel23],[ dt_k7_waybel_0, cc2_lattice3, fc10_waybel_0, fc14_waybel_0],[]).
proved( t55_waybel23, waybel23, [ t4_subset, t6_boole, t53_waybel23, t1_yellow_1, t43_yellow_2],[ fc1_xboole_0],[]).
proved( t9_waybel24, waybel24, [ t8_waybel24, t7_waybel24],[],[]).
proved( t33_waybel25, waybel25, [ t5_subset, t6_boole, t32_waybel25, d19_yellow_6],[ dt_k1_waybel25, dt_l1_waybel_9, fc4_waybel25, fc5_waybel25, rc2_subset_1, fc6_membered],[]).
proved( t7_waybel26, waybel26, [ d1_waybel26, t43_waybel25],[],[]).
proved( t34_waybel27, waybel27, [ t33_waybel27, t1_yellow_1, d8_waybel_1],[ dt_k2_waybel27, dt_k2_yellow_1, dt_k3_yellow_1, cc1_lattice3, fc7_yellow_1],[]).
proved( t3_waybel28, waybel28, [ t1_waybel28, t23_yellow_6],[ redefinition_r3_orders_2, dt_k2_waybel_9, dt_l1_orders_2, dt_m2_yellow_6, cc1_lattice3],[]).
proved( t5_waybel28, waybel28, [ d5_yellow_6],[],[]).
proved( t27_waybel32, waybel32, [ t41_waybel21],[ cc12_waybel_0, cc1_lattice3, cc11_waybel_0, cc3_yellow14],[]).
proved( t30_waybel32, waybel32, [ t27_waybel32, t29_waybel32],[],[]).
proved( t39_waybel_4, waybel_4, [ t37_waybel_4],[ cc4_waybel_4],[]).
proved( t31_waybel_9, waybel_9, [ d9_waybel_9, t27_yellow_6],[ dt_l1_pre_topc, dt_m2_yellow_6],[]).
proved( t16_wellord1, wellord1, [ t17_xboole_1, d6_wellord1, t15_wellord1, d3_tarski, d3_xboole_0],[],[]).
proved( t20_wellord1, wellord1, [ t15_wellord1, t31_relat_1, t19_wellord1, d3_tarski],[ dt_k2_wellord1],[]).
proved( t45_wellord1, wellord1, [ d5_tarski, d7_wellord1, d8_funct_1],[ commutativity_k2_tarski],[]).
proved( t7_wellset1, wellset1, [ t2_subset, t4_subset, t5_subset, t3_subset, d5_tarski, d1_wellord1, t37_wellord1, t30_relat_1],[],[]).
proved( t3_xboole_0, xboole_0, [ d4_xboole_0, t1_xboole_0, d7_xboole_0, d3_xboole_0, d1_xboole_0, d6_xboole_0],[ idempotence_k2_xboole_0],[]).
proved( t5_xboole_0, xboole_0, [ t3_xboole_0, d2_xboole_0],[],[]).
proved( t106_xboole_1, xboole_1, [ d7_xboole_0, t49_xboole_1, d10_xboole_0, t17_xboole_1, t16_xboole_1, t83_xboole_1, t79_xboole_1, t63_xboole_1, t3_xboole_1, t77_xboole_1, t37_xboole_1],[ commutativity_k3_xboole_0, idempotence_k3_xboole_0, symmetry_r1_xboole_0],[]).
proved( t111_xboole_1, xboole_1, [ t47_xboole_1, t49_xboole_1, t100_xboole_1, t16_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t47_xboole_1, xboole_1, [ t1_boole, t7_xboole_1, t24_xboole_1, t22_xboole_1, t4_xboole_1, t28_xboole_1, t37_xboole_1, t39_xboole_1, t40_xboole_1, t41_xboole_1, t42_xboole_1, t45_xboole_1],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0, reflexivity_r1_tarski],[]).
proved( t52_xboole_1, xboole_1, [ t49_xboole_1, t47_xboole_1, t48_xboole_1, t41_xboole_1, t23_xboole_1],[],[]).
proved( t70_xboole_1, xboole_1, [ t1_boole, t6_boole, d7_xboole_0, t7_xboole_1, t63_xboole_1, t23_xboole_1],[ commutativity_k2_xboole_0, symmetry_r1_xboole_0, fc1_xboole_0, fc3_xboole_0],[]).
proved( t71_xboole_1, xboole_1, [ t1_boole, t4_xboole_1, d7_xboole_0, t7_xboole_1, t22_xboole_1, t24_xboole_1, t12_xboole_1, t21_xboole_1, t23_xboole_1],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0],[]).
proved( t72_xboole_1, xboole_1, [ t1_boole, t71_xboole_1, d7_xboole_0, t7_xboole_1, t4_xboole_1, t22_xboole_1, t24_xboole_1, t21_xboole_1, t6_xboole_1, t45_xboole_1, t70_xboole_1],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0, symmetry_r1_xboole_0],[]).
proved( t81_xboole_1, xboole_1, [ t1_boole, t2_boole, t3_boole, t79_xboole_1, d7_xboole_0, t49_xboole_1, t48_xboole_1, t52_xboole_1, t47_xboole_1, t50_xboole_1],[ symmetry_r1_xboole_0],[]).
proved( t83_xboole_1, xboole_1, [ t2_boole, t3_boole, d7_xboole_0, t48_xboole_1, t47_xboole_1],[ commutativity_k3_xboole_0, symmetry_r1_xboole_0],[]).
proved( t8_xboole_1, xboole_1, [ d3_tarski, t7_xboole_1, d2_xboole_0, t4_xboole_1],[ commutativity_k2_xboole_0],[]).
proved( t93_xboole_1, xboole_1, [ t55_xboole_1, t4_xboole_1, t22_xboole_1, t51_xboole_1, d6_xboole_0],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0],[]).
proved( t94_xboole_1, xboole_1, [ t93_xboole_1, t22_xboole_1, t51_xboole_1, t4_xboole_1, t55_xboole_1, t23_xboole_1, d6_xboole_0, t41_xboole_1],[ commutativity_k2_xboole_0, idempotence_k2_xboole_0, commutativity_k3_xboole_0],[]).
proved( t97_xboole_1, xboole_1, [ t1_boole, t37_xboole_1, d6_xboole_0, t42_xboole_1],[ commutativity_k2_xboole_0],[]).
proved( t99_xboole_1, xboole_1, [ t98_xboole_1, d6_xboole_0, t41_xboole_1, t42_xboole_1],[ commutativity_k5_xboole_0],[]).
proved( t11_yellow_0, yellow_0, [ t4_yellow_0],[],[]).
proved( t12_yellow_0, yellow_0, [ t4_yellow_0],[],[]).
proved( t32_yellow_0, yellow_0, [ d9_yellow_0, d12_lattice3, t30_yellow_0],[ dt_k1_yellow_0],[]).
proved( t47_yellow_0, yellow_0, [ d9_yellow_0, d7_yellow_0, t46_yellow_0],[],[]).
proved( t49_yellow_0, yellow_0, [ d10_yellow_0, d8_yellow_0, t48_yellow_0],[],[]).
proved( t66_yellow_0, yellow_0, [ t64_yellow_0],[ dt_k2_struct_0, dt_l1_orders_2, dt_m1_yellow_0],[]).
proved( t67_yellow_0, yellow_0, [ t65_yellow_0],[ dt_k2_struct_0, dt_l1_orders_2, dt_m1_yellow_0],[]).
proved( t3_yellow14, yellow14, [ t5_cqc_lang, t14_funct_4, t6_cqc_lang, d1_tarski],[ fc1_cqc_lang],[]).
proved( t4_yellow14, yellow14, [ t6_boole, d3_pre_topc, t51_tops_2],[ fc5_relat_1, fc6_relat_1, fc8_relat_1, cc1_relset_1, redefinition_k1_yellow_2, redefinition_m2_relset_1, dt_m2_relset_1, fc2_pre_topc, fc4_relat_1, fc1_waybel12],[]).
proved( t5_yellow14, yellow14, [ t5_subset, t3_subset, t6_boole, t4_funct_2, d1_funct_2, t12_relset_1, d3_tarski],[ cc1_funct_1, cc6_funct_2, redefinition_k4_relset_1, redefinition_m2_relset_1, rc2_funct_1, fc2_pre_topc, fc4_relat_1, fc1_waybel12, cc1_waybel12],[]).
proved( t7_yellow14, yellow14, [ t5_subset, t3_subset, t6_boole, d3_pre_topc, t4_funct_2, t12_relset_1, d5_funct_1, d10_xboole_0, d3_tarski, t51_tops_2],[ existence_m1_finseq_1, dt_m1_finseq_1, redefinition_m2_finseq_1, dt_m2_finseq_1, cc1_funct_1, fc5_relat_1, fc6_relat_1, fc8_relat_1, cc1_relset_1, cc6_funct_2, redefinition_k8_yellow_2, redefinition_m2_relset_1, dt_m2_relset_1, rc2_funct_1, fc2_pre_topc, fc4_relat_1, cc1_waybel12, rc3_waybel12],[]).
proved( t4_yellow17, yellow17, [ t5_subset, t6_boole, d5_tarski, t3_yellow17, d3_tarski, d10_xboole_0, d2_pralg_3, t169_relat_1, t167_relat_1, d4_relat_1],[ commutativity_k2_tarski, cc1_relset_1, dt_k3_pralg_3, rc2_subset_1, rc2_finset_1, fc1_xboole_0],[]).
proved( t19_yellow18, yellow18, [ t18_yellow18],[ symmetry_r1_functor0, symmetry_r2_functor0, symmetry_r2_yellow18],[]).
proved( t20_yellow18, yellow18, [ t18_yellow18],[ symmetry_r1_functor0, symmetry_r2_functor0, symmetry_r2_yellow18],[]).
proved( t29_yellow18, yellow18, [ d6_yellow18, t4_yellow18],[ symmetry_r1_yellow18, symmetry_r3_yellow18, dt_k1_yellow18, fc2_yellow18, fc3_yellow18],[]).
proved( t37_yellow18, yellow18, [ t21_funct_5, d9_yellow18],[ dt_k8_altcat_1, cc4_yellow18],[]).
proved( t8_yellow18, yellow18, [ t7_yellow18, d3_yellow18],[],[]).
proved( t21_yellow19, yellow19, [ t9_waybel_0, t27_yellow_6],[ dt_m2_yellow_6],[]).
proved( t38_yellow20, yellow20, [ d4_yellow20, d40_functor0],[],[]).
proved( t39_yellow20, yellow20, [ d5_yellow20, d41_functor0],[],[]).
proved( t14_yellow21, yellow21, [ d2_yellow21, t13_yellow21, d1_yellow21],[ dt_l1_orders_2],[]).
proved( t16_yellow21, yellow21, [ d9_yellow18, t35_altcat_2],[ dt_m1_altcat_2, cc3_altcat_2, cc4_altcat_2],[]).
proved( t2_yellow_3, yellow_3, [ t23_yellow_0, t26_orders_2],[ dt_k12_lattice3],[]).
proved( t3_yellow_4, yellow_4, [ t3_subset, t6_boole, t7_boole, d1_yellow_4, d3_tarski],[ fc1_waybel_0, fc1_xboole_0],[]).
proved( t6_yellow_4, yellow_4, [ t3_subset, t6_boole, t7_boole, d2_yellow_4, d3_tarski],[ fc1_waybel_0, fc1_xboole_0],[]).
proved( t10_yellow_5, yellow_5, [ t25_yellow_0],[ commutativity_k12_lattice3],[]).
proved( t11_yellow_5, yellow_5, [ t89_waybel_1, t87_waybel_1, d23_waybel_1, t83_waybel_1, t85_waybel_1, t90_waybel_1, t44_yellow_0, t24_yellow_0, t25_yellow_0, t25_orders_2, d3_waybel_1, t16_lattice3, t23_yellow_0, t4_waybel_1, t6_waybel_1],[ commutativity_k12_lattice3, commutativity_k13_lattice3, reflexivity_r3_orders_2, redefinition_k12_lattice3, redefinition_r3_orders_2, dt_k11_lattice3, dt_k12_lattice3, dt_k13_lattice3, dt_k3_yellow_0, dt_k4_yellow_0, dt_k7_waybel_1, cc1_lattice3, cc2_lattice3, cc5_waybel_1, cc6_waybel_1, cc8_waybel_1, cc10_waybel_1],[]).
proved( t14_yellow_5, yellow_5, [ d1_yellow_5, t23_yellow_0],[ dt_k7_waybel_1, redefinition_k12_lattice3, dt_k1_yellow_5, cc1_lattice3, cc2_lattice3],[]).
proved( t15_yellow_5, yellow_5, [ d2_yellow_5, t22_yellow_0],[ commutativity_k13_lattice3, redefinition_k13_lattice3, redefinition_k3_yellow_5, dt_k13_lattice3, dt_k1_yellow_5, cc1_lattice3],[]).
proved( t20_yellow_5, yellow_5, [ t6_waybel_1],[],[]).
proved( t22_yellow_5, yellow_5, [ t44_yellow_0, t25_orders_2],[ dt_k3_yellow_0],[]).
proved( t23_yellow_5, yellow_5, [ t23_yellow_0, d3_yellow_0, t44_yellow_0],[ redefinition_r3_orders_2, dt_k12_lattice3, dt_k3_yellow_0, cc2_lattice3],[]).
proved( t24_yellow_5, yellow_5, [ t22_yellow_0, d3_yellow_0, t44_yellow_0],[ dt_k13_lattice3, cc1_lattice3],[]).
proved( t25_yellow_5, yellow_5, [ t6_yellow_5, t22_yellow_5, t44_yellow_0, d3_yellow_0],[ redefinition_k12_lattice3, dt_k12_lattice3, dt_k3_yellow_0, cc2_lattice3],[]).
proved( t26_yellow_5, yellow_5, [ d1_yellow_5, t4_waybel_1],[ dt_k3_yellow_0, dt_k7_waybel_1, cc2_lattice3],[]).
proved( t29_yellow_5, yellow_5, [ t23_yellow_0, d3_yellow_5, t22_yellow_5, t16_lattice3],[ commutativity_k12_lattice3, redefinition_k12_lattice3, redefinition_r2_yellow_5, dt_k11_lattice3, dt_k12_lattice3, dt_k3_yellow_0, cc1_lattice3, cc2_lattice3],[]).
proved( t30_yellow_5, yellow_5, [ d1_yellow_5, t44_yellow_0, d3_yellow_5, t23_yellow_0, d3_yellow_0, t18_yellow_5],[ dt_k7_waybel_1, redefinition_k12_lattice3, redefinition_r2_yellow_5, dt_k1_yellow_5, dt_k3_yellow_0, cc1_lattice3, cc2_lattice3],[]).
proved( t31_yellow_5, yellow_5, [ d3_yellow_5, t28_yellow_5],[ redefinition_k12_lattice3, dt_k3_yellow_0, cc2_lattice3],[]).
proved( t32_yellow_5, yellow_5, [ t27_yellow_5],[ redefinition_r2_yellow_5],[]).
proved( t33_yellow_5, yellow_5, [ t28_yellow_5, d3_yellow_5, t44_yellow_0, t32_yellow_5, t31_yellow_5, t23_yellow_0, t16_lattice3, t22_yellow_5],[ commutativity_k12_lattice3, redefinition_k12_lattice3, dt_k11_lattice3, dt_k12_lattice3, dt_k3_yellow_0, cc2_lattice3],[]).
proved( t34_yellow_5, yellow_5, [ d3_yellow_5, t23_yellow_5],[ redefinition_k12_lattice3, cc1_lattice3],[]).
proved( t35_yellow_5, yellow_5, [ t33_yellow_5, t6_yellow_5, d3_yellow_5, t44_yellow_0, d3_yellow_0, t23_yellow_0, t22_yellow_5],[ redefinition_k12_lattice3, dt_k12_lattice3, dt_k3_yellow_0, cc2_lattice3],[]).
proved( t3_yellow_5, yellow_5, [ t22_yellow_0, t26_orders_2],[ dt_k13_lattice3],[]).
proved( t40_yellow_5, yellow_5, [ t25_yellow_0, t24_yellow_0, t39_yellow_5],[ redefinition_r3_orders_2, dt_k7_waybel_1, cc8_waybel_1],[]).
proved( t44_yellow_5, yellow_5, [ t23_yellow_0, t40_yellow_5],[ redefinition_r3_orders_2, dt_k12_lattice3, cc8_waybel_1],[]).
proved( t45_yellow_5, yellow_5, [ t22_yellow_0, t40_yellow_5],[ redefinition_r3_orders_2, dt_k13_lattice3, cc8_waybel_1],[]).
proved( t47_yellow_5, yellow_5, [ d1_yellow_5, t37_yellow_5, t20_yellow_5, t23_yellow_0, t38_yellow_5, t39_yellow_5, t10_yellow_5, t7_yellow_5, t24_yellow_0, t45_yellow_5, t17_lattice3],[ commutativity_k12_lattice3, commutativity_k13_lattice3, reflexivity_r3_orders_2, redefinition_k12_lattice3, dt_k12_lattice3, dt_k7_waybel_1, cc2_lattice3, cc8_waybel_1],[]).
proved( t48_yellow_5, yellow_5, [ d1_yellow_5, t46_yellow_5, t37_yellow_5, t10_yellow_5, t4_waybel_1, t44_yellow_0, t23_yellow_0, t22_yellow_0, t47_yellow_5, t20_yellow_5, t8_yellow_5, t25_yellow_0, t41_yellow_5, t38_yellow_5, t42_yellow_5, t43_yellow_5, t39_yellow_5],[ commutativity_k12_lattice3, reflexivity_r3_orders_2, redefinition_k12_lattice3, redefinition_k13_lattice3, redefinition_r3_orders_2, dt_k12_lattice3, dt_k13_lattice3, dt_k1_yellow_5, dt_k3_yellow_0, dt_k4_yellow_0, dt_k7_waybel_1, cc1_lattice3, cc2_lattice3, cc8_waybel_1],[]).
proved( t51_yellow_5, yellow_5, [ t22_yellow_0, t48_yellow_5],[ redefinition_r3_orders_2, dt_k13_lattice3, cc8_waybel_1],[]).
proved( t54_yellow_5, yellow_5, [ t50_yellow_5],[ commutativity_k13_lattice3, dt_k1_yellow_5, cc8_waybel_1],[]).
proved( t55_yellow_5, yellow_5, [ t23_yellow_0, t47_yellow_5, t52_yellow_5],[ redefinition_r3_orders_2, dt_k12_lattice3, cc8_waybel_1],[]).
proved( t57_yellow_5, yellow_5, [ d1_yellow_5, t52_yellow_5, t90_waybel_1],[ redefinition_k12_lattice3, dt_k7_waybel_1, cc2_lattice3, cc8_waybel_1],[]).
proved( t59_yellow_5, yellow_5, [ t53_yellow_5, t48_yellow_5, t55_yellow_5, t17_lattice3],[ reflexivity_r3_orders_2, dt_k1_yellow_5, dt_k3_yellow_0, cc8_waybel_1],[]).
proved( t70_yellow_5, yellow_5, [ t10_yellow_5, t57_yellow_5, t59_yellow_5, t53_yellow_5, t62_yellow_5, t52_yellow_5, t2_yellow_5, d3_yellow_5],[ commutativity_k12_lattice3, reflexivity_r3_orders_2, redefinition_k12_lattice3, dt_k1_yellow_5, cc8_waybel_1],[]).
proved( t71_yellow_5, yellow_5, [ d3_yellow_5, t53_yellow_5],[ redefinition_k12_lattice3, dt_k1_yellow_5, cc8_waybel_1],[]).
proved( t8_yellow_5, yellow_5, [ t24_yellow_0],[ commutativity_k13_lattice3, redefinition_r3_orders_2, cc1_lattice3],[]).
proved( t9_yellow_5, yellow_5, [ t8_yellow_5, t3_yellow_3, t24_yellow_0],[ commutativity_k13_lattice3, reflexivity_r3_orders_2, redefinition_r3_orders_2, dt_k13_lattice3, cc1_lattice3],[]).
proved( t2_yellow_7, yellow_7, [ t1_yellow_7, d7_lattice3, d6_lattice3],[ dt_k8_lattice3],[]).
proved( t9_yellow_7, yellow_7, [ d6_lattice3, t8_yellow_7, d7_lattice3],[ dt_k9_lattice3],[]).
proved( t1_yellow_9, yellow_9, [ t4_subset, t10_yellow_6, t18_waybel_0],[ dt_k7_waybel_0, dt_l1_orders_2],[]).
proved( t2_yoneda_1, yoneda_1, [ d1_yoneda_1, t49_ens_1],[ reflexivity_r1_tarski, fc5_ens_1],[]).
proved( t109_zfmisc_1, zfmisc_1, [ d5_tarski, d3_tarski, t102_zfmisc_1],[ commutativity_k2_tarski],[]).
proved( t110_zfmisc_1, zfmisc_1, [ d5_tarski, d3_tarski, t102_zfmisc_1, t12_xboole_1],[ commutativity_k2_tarski, commutativity_k2_xboole_0],[]).
proved( t121_zfmisc_1, zfmisc_1, [ t120_zfmisc_1, t4_xboole_1],[ commutativity_k2_xboole_0, commutativity_k3_xboole_0],[]).
proved( t124_zfmisc_1, zfmisc_1, [ t123_zfmisc_1, t28_xboole_1],[ commutativity_k3_xboole_0],[]).
proved( t60_zfmisc_1, zfmisc_1, [ d2_tarski, d1_tarski, d3_xboole_0, t38_zfmisc_1, t69_enumset1],[ commutativity_k3_xboole_0, reflexivity_r1_tarski],[]).
proved( t64_zfmisc_1, zfmisc_1, [ d6_xboole_0, d1_tarski, d3_tarski, d4_xboole_0, t51_zfmisc_1, t1_xboole_0, t7_xboole_1],[ idempotence_k3_xboole_0],[]).
proved( t95_zfmisc_1, zfmisc_1, [ d3_tarski, t94_zfmisc_1, t92_zfmisc_1],[],[]).