TSTP Solution File: SEU435+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:34:19 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Mar 20 14:44:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% 0.14/0.37
% 0.14/0.37 % Formula: t36_relset_2 ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.37 cnf(t36_relset_2-1, negated_conjecture, ( m1_subset_1(skolem3, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(skolem1, skolem2)))) )).
% 0.14/0.37 cnf(t36_relset_2-2, negated_conjecture, ( m1_subset_1(skolem6, k1_zfmisc_1(skolem4)) )).
% 0.14/0.37 cnf(t36_relset_2-3, negated_conjecture, ( ~m1_subset_1(a_6_0_relset_2(skolem1, skolem2, skolem3, skolem4, skolem5, skolem6), k1_zfmisc_1(k1_zfmisc_1(skolem5))) )).
% 0.14/0.37
% 0.14/0.37 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.14/0.37 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u7, _u6) | ~r2_hidden(_u6, _u7) )).
% 0.14/0.37
% 0.14/0.37 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(cc1_relat_1-1, axiom, ( ~v1_xboole_0(_u8) | v1_relat_1(_u8) )).
% 0.14/0.37
% 0.14/0.37 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 0.14/0.37
% 0.14/0.37 % Formula: d4_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(d4_relset_2-1, axiom, ( ~m1_subset_1(_u13, k1_zfmisc_1(_u15)) | ~m1_subset_1(_u12, k1_zfmisc_1(k2_zfmisc_1(_u15, _u14))) | ( k7_relset_2(_u15, _u14, _u13, _u12) = k8_setfam_1(_u14, k4_relset_2(k1_zfmisc_1(_u15), _u14, k6_relset_2(_u14, _u15, _u12), k3_pua2mss1(_u13)))) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k1_xboole_0, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k3_pua2mss1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k3_pua2mss1-1, axiom, ( m1_eqrel_1(k3_pua2mss1(_u16), _u16) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k4_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k4_relset_2-1, axiom, ( ~m1_subset_1(_u18, k1_zfmisc_1(k2_zfmisc_1(_u20, k1_zfmisc_1(_u19)))) | m1_subset_1(k4_relset_2(_u20, _u19, _u18, _u17), k1_zfmisc_1(k1_zfmisc_1(_u19))) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k5_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k5_relset_2-1, axiom, ( ~v1_relat_1(_u21) | v1_relat_1(k5_relset_2(_u22, _u21)) )).
% 0.14/0.37 cnf(dt_k5_relset_2-2, axiom, ( ~v1_relat_1(_u21) | v1_funct_1(k5_relset_2(_u22, _u21)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k6_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k6_relset_2-1, axiom, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | v1_funct_1(k6_relset_2(_u25, _u24, _u23)) )).
% 0.14/0.37 cnf(dt_k6_relset_2-2, axiom, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | v1_funct_2(k6_relset_2(_u25, _u24, _u23), k1_zfmisc_1(_u24), k1_zfmisc_1(_u25)) )).
% 0.14/0.37 cnf(dt_k6_relset_2-3, axiom, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | m2_relset_1(k6_relset_2(_u25, _u24, _u23), k1_zfmisc_1(_u24), k1_zfmisc_1(_u25)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k7_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k7_relset_2, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k8_relset_2 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k8_relset_2-1, axiom, ( ~m1_subset_1(_u27, k1_zfmisc_1(_u29)) | ~m1_subset_1(_u26, k1_zfmisc_1(k2_zfmisc_1(_u29, _u28))) | m1_subset_1(k8_relset_2(_u29, _u28, _u27, _u26), k1_zfmisc_1(_u28)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k8_setfam_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k8_setfam_1-1, axiom, ( ~m1_subset_1(_u30, k1_zfmisc_1(k1_zfmisc_1(_u31))) | m1_subset_1(k8_setfam_1(_u31, _u30), k1_zfmisc_1(_u31)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_k9_relat_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_k9_relat_1, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_m1_eqrel_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_m1_eqrel_1-1, axiom, ( ~m1_eqrel_1(_u32, _u33) | m1_subset_1(_u32, k1_zfmisc_1(k1_zfmisc_1(_u33))) )).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_m1_relset_1, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_m1_subset_1, axiom, $true).
% 0.14/0.37
% 0.14/0.37 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u34, _u36, _u35) | m1_subset_1(_u34, k1_zfmisc_1(k2_zfmisc_1(_u36, _u35))) )).
% 0.14/0.37
% 0.14/0.37 % Formula: existence_m1_eqrel_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(existence_m1_eqrel_1-1, axiom, ( m1_eqrel_1(skolem7(_u38), _u38) )).
% 0.14/0.37
% 0.14/0.37 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem8(_u41, _u40), _u41, _u40) )).
% 0.14/0.37
% 0.14/0.37 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem9(_u43), _u43) )).
% 0.14/0.37
% 0.14/0.37 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem10(_u46, _u45), _u46, _u45) )).
% 0.14/0.37
% 0.14/0.37 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(fc12_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.14/0.37 cnf(fc12_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.14/0.37 cnf(fc12_relat_1-3, axiom, ( v3_relat_1(k1_xboole_0) )).
% 0.14/0.37
% 0.14/0.37 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u47)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: fc1_sysrel ( axiom ) converted to clauses:
% 0.14/0.37 cnf(fc1_sysrel-1, axiom, ( v1_relat_1(k2_zfmisc_1(_u49, _u48)) )).
% 0.14/0.37
% 0.14/0.37 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.14/0.37 cnf(fc4_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.14/0.37 cnf(fc4_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.14/0.38
% 0.14/0.38 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u51) | v1_xboole_0(_u50) | ~v1_xboole_0(k2_zfmisc_1(_u51, _u50)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: fraenkel_a_6_0_relset_2 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(fraenkel_a_6_0_relset_2-1, axiom, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | m1_subset_1(skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54), k1_zfmisc_1(k2_zfmisc_1(_u56, _u55))) )).
% 0.14/0.38 cnf(fraenkel_a_6_0_relset_2-2, axiom, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | ( _u60 = k8_relset_2(_u56, _u55, _u54, skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54))) )).
% 0.14/0.38 cnf(fraenkel_a_6_0_relset_2-3, axiom, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | r2_hidden(skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54), _u57) )).
% 0.14/0.38 cnf(fraenkel_a_6_0_relset_2-4, axiom, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~m1_subset_1(_u53, k1_zfmisc_1(k2_zfmisc_1(_u56, _u55))) | ( _u60 != k8_relset_2(_u56, _u55, _u54, _u53)) | ~r2_hidden(_u53, _u57) | r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc1_relat_1-1, axiom, ( v1_xboole_0(skolem12) )).
% 0.14/0.38 cnf(rc1_relat_1-2, axiom, ( v1_relat_1(skolem12) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u63) | m1_subset_1(skolem13(_u63), k1_zfmisc_1(_u63)) )).
% 0.14/0.38 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u63) | ~v1_xboole_0(skolem13(_u63)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc2_partfun1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc2_partfun1-1, axiom, ( m1_relset_1(skolem14(_u66, _u65), _u66, _u65) )).
% 0.14/0.38 cnf(rc2_partfun1-2, axiom, ( v1_relat_1(skolem14(_u66, _u65)) )).
% 0.14/0.38 cnf(rc2_partfun1-3, axiom, ( v1_funct_1(skolem14(_u66, _u65)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc2_relat_1-1, axiom, ( ~v1_xboole_0(skolem15) )).
% 0.14/0.38 cnf(rc2_relat_1-2, axiom, ( v1_relat_1(skolem15) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem16(_u69), k1_zfmisc_1(_u69)) )).
% 0.14/0.38 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem16(_u69)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(rc3_relat_1-1, axiom, ( v1_relat_1(skolem17) )).
% 0.14/0.38 cnf(rc3_relat_1-2, axiom, ( v3_relat_1(skolem17) )).
% 0.14/0.38
% 0.14/0.38 % Formula: redefinition_k4_relset_2 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(redefinition_k4_relset_2-1, axiom, ( ~m1_subset_1(_u72, k1_zfmisc_1(k2_zfmisc_1(_u74, k1_zfmisc_1(_u73)))) | ( k4_relset_2(_u74, _u73, _u72, _u71) = k9_relat_1(_u72, _u71)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: redefinition_k6_relset_2 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(redefinition_k6_relset_2-1, axiom, ( ~m1_subset_1(_u75, k1_zfmisc_1(k2_zfmisc_1(_u76, _u77))) | ( k6_relset_2(_u77, _u76, _u75) = k5_relset_2(_u76, _u75)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: redefinition_k8_relset_2 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(redefinition_k8_relset_2-1, axiom, ( ~m1_subset_1(_u79, k1_zfmisc_1(_u81)) | ~m1_subset_1(_u78, k1_zfmisc_1(k2_zfmisc_1(_u81, _u80))) | ( k8_relset_2(_u81, _u80, _u79, _u78) = k7_relset_2(_u81, _u80, _u79, _u78)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u85, _u89, _u87) | m1_relset_1(_u85, _u89, _u87) )).
% 0.14/0.38 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u86, _u90, _u88) | m2_relset_1(_u86, _u90, _u88) )).
% 0.14/0.38
% 0.14/0.38 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.14/0.38 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u92, _u92) )).
% 0.14/0.38
% 0.14/0.38 % Formula: s8_domain_1__e1_46__relset_2 ( axiom ) converted to clauses:
% 0.14/0.38 cnf(s8_domain_1__e1_46__relset_2-1, axiom, ( ~m1_subset_1(_u96, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u98, _u97)))) | ~m1_subset_1(_u93, k1_zfmisc_1(_u95)) | m1_subset_1(a_6_0_relset_2(_u98, _u97, _u96, _u95, _u94, _u93), k1_zfmisc_1(k1_zfmisc_1(_u94))) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u100, _u99) | m1_subset_1(_u100, _u99) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u102, _u101) | v1_xboole_0(_u101) | r2_hidden(_u102, _u101) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t2_tarski ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t2_tarski-1, axiom, ( ( _u105 = _u104) | r2_hidden(skolem18(_u105, _u104), _u105) | r2_hidden(skolem19(_u105, _u104), _u104) )).
% 0.14/0.38 cnf(t2_tarski-2, axiom, ( ( _u105 = _u104) | r2_hidden(skolem18(_u105, _u104), _u105) | ~r2_hidden(skolem19(_u105, _u104), _u105) )).
% 0.14/0.38 cnf(t2_tarski-3, axiom, ( ( _u105 = _u104) | ~r2_hidden(skolem18(_u105, _u104), _u104) | r2_hidden(skolem19(_u105, _u104), _u104) )).
% 0.14/0.38 cnf(t2_tarski-4, axiom, ( ( _u105 = _u104) | ~r2_hidden(skolem18(_u105, _u104), _u104) | ~r2_hidden(skolem19(_u105, _u104), _u105) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u112, k1_zfmisc_1(_u110)) | r1_tarski(_u112, _u110) )).
% 0.14/0.38 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u113, _u111) | m1_subset_1(_u113, k1_zfmisc_1(_u111)) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u116, _u115) | ~m1_subset_1(_u115, k1_zfmisc_1(_u114)) | m1_subset_1(_u116, _u114) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u119, _u118) | ~m1_subset_1(_u118, k1_zfmisc_1(_u117)) | ~v1_xboole_0(_u117) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u120) | ( _u120 = k1_xboole_0) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u122, _u121) | ~v1_xboole_0(_u121) )).
% 0.14/0.38
% 0.14/0.38 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.14/0.38 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u124) | ( _u124 = _u123) | ~v1_xboole_0(_u123) )).
% 0.14/0.38
% 0.14/0.38 % Problem matrix:
% 0.14/0.38 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.14/0.38 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.14/0.38 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.14/0.38 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( a_6_0_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = a_6_0_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 0.14/0.38 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k7_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k7_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.14/0.38 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k6_relset_2(__eqx_0, __eqx_1, __eqx_2) = k6_relset_2(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.14/0.38 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( k3_pua2mss1(__eqx_0) = k3_pua2mss1(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k4_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k4_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.14/0.38 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k8_setfam_1(__eqx_0, __eqx_1) = k8_setfam_1(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k5_relset_2(__eqx_0, __eqx_1) = k5_relset_2(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k8_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k8_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.14/0.38 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k9_relat_1(__eqx_0, __eqx_1) = k9_relat_1(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 0.14/0.38 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem16(__eqx_0) = skolem16(__eqy_0)) )).
% 0.14/0.38 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 0.14/0.38 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 0.14/0.38 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.14/0.38 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.14/0.38 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.14/0.38 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_eqrel_1(__eqx_0, __eqx_1) | m1_eqrel_1(__eqy_0, __eqy_1) )).
% 0.14/0.38 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~v1_funct_1(__eqx_0) | v1_funct_1(__eqy_0) )).
% 0.14/0.38 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~v1_funct_2(__eqx_0, __eqx_1, __eqx_2) | v1_funct_2(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.38 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m2_relset_1(__eqx_0, __eqx_1, __eqx_2) | m2_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.38 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~m1_relset_1(__eqx_0, __eqx_1, __eqx_2) | m1_relset_1(__eqy_0, __eqy_1, __eqy_2) )).
% 0.14/0.38 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~v3_relat_1(__eqx_0) | v3_relat_1(__eqy_0) )).
% 0.14/0.38 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.14/0.38 cnf(matrix-35, plain, ( m1_subset_1(skolem3, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(skolem1, skolem2)))) )).
% 0.14/0.38 cnf(matrix-36, plain, ( m1_subset_1(skolem6, k1_zfmisc_1(skolem4)) )).
% 0.14/0.38 cnf(matrix-37, plain, ( ~m1_subset_1(a_6_0_relset_2(skolem1, skolem2, skolem3, skolem4, skolem5, skolem6), k1_zfmisc_1(k1_zfmisc_1(skolem5))) )).
% 0.14/0.38 cnf(matrix-38, plain, ( ~r2_hidden(_u7, _u6) | ~r2_hidden(_u6, _u7) )).
% 0.14/0.38 cnf(matrix-39, plain, ( ~v1_xboole_0(_u8) | v1_relat_1(_u8) )).
% 0.14/0.38 cnf(matrix-40, plain, ( ~m1_subset_1(_u9, k1_zfmisc_1(k2_zfmisc_1(_u11, _u10))) | v1_relat_1(_u9) )).
% 0.14/0.38 cnf(matrix-41, plain, ( ~m1_subset_1(_u13, k1_zfmisc_1(_u15)) | ~m1_subset_1(_u12, k1_zfmisc_1(k2_zfmisc_1(_u15, _u14))) | ( k7_relset_2(_u15, _u14, _u13, _u12) = k8_setfam_1(_u14, k4_relset_2(k1_zfmisc_1(_u15), _u14, k6_relset_2(_u14, _u15, _u12), k3_pua2mss1(_u13)))) )).
% 0.14/0.38 cnf(matrix-42, plain, ( m1_eqrel_1(k3_pua2mss1(_u16), _u16) )).
% 0.14/0.38 cnf(matrix-43, plain, ( ~m1_subset_1(_u18, k1_zfmisc_1(k2_zfmisc_1(_u20, k1_zfmisc_1(_u19)))) | m1_subset_1(k4_relset_2(_u20, _u19, _u18, _u17), k1_zfmisc_1(k1_zfmisc_1(_u19))) )).
% 0.14/0.38 cnf(matrix-44, plain, ( ~v1_relat_1(_u21) | v1_relat_1(k5_relset_2(_u22, _u21)) )).
% 0.14/0.38 cnf(matrix-45, plain, ( ~v1_relat_1(_u21) | v1_funct_1(k5_relset_2(_u22, _u21)) )).
% 0.14/0.38 cnf(matrix-46, plain, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | v1_funct_1(k6_relset_2(_u25, _u24, _u23)) )).
% 0.14/0.38 cnf(matrix-47, plain, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | v1_funct_2(k6_relset_2(_u25, _u24, _u23), k1_zfmisc_1(_u24), k1_zfmisc_1(_u25)) )).
% 0.14/0.38 cnf(matrix-48, plain, ( ~m1_subset_1(_u23, k1_zfmisc_1(k2_zfmisc_1(_u24, _u25))) | m2_relset_1(k6_relset_2(_u25, _u24, _u23), k1_zfmisc_1(_u24), k1_zfmisc_1(_u25)) )).
% 0.14/0.38 cnf(matrix-49, plain, ( ~m1_subset_1(_u27, k1_zfmisc_1(_u29)) | ~m1_subset_1(_u26, k1_zfmisc_1(k2_zfmisc_1(_u29, _u28))) | m1_subset_1(k8_relset_2(_u29, _u28, _u27, _u26), k1_zfmisc_1(_u28)) )).
% 0.14/0.38 cnf(matrix-50, plain, ( ~m1_subset_1(_u30, k1_zfmisc_1(k1_zfmisc_1(_u31))) | m1_subset_1(k8_setfam_1(_u31, _u30), k1_zfmisc_1(_u31)) )).
% 0.14/0.38 cnf(matrix-51, plain, ( ~m1_eqrel_1(_u32, _u33) | m1_subset_1(_u32, k1_zfmisc_1(k1_zfmisc_1(_u33))) )).
% 0.14/0.38 cnf(matrix-52, plain, ( ~m2_relset_1(_u34, _u36, _u35) | m1_subset_1(_u34, k1_zfmisc_1(k2_zfmisc_1(_u36, _u35))) )).
% 0.14/0.38 cnf(matrix-53, plain, ( m1_eqrel_1(skolem7(_u38), _u38) )).
% 0.14/0.38 cnf(matrix-54, plain, ( m1_relset_1(skolem8(_u41, _u40), _u41, _u40) )).
% 0.14/0.38 cnf(matrix-55, plain, ( m1_subset_1(skolem9(_u43), _u43) )).
% 0.14/0.38 cnf(matrix-56, plain, ( m2_relset_1(skolem10(_u46, _u45), _u46, _u45) )).
% 0.14/0.38 cnf(matrix-57, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-58, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-59, plain, ( v3_relat_1(k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-60, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u47)) )).
% 0.14/0.38 cnf(matrix-61, plain, ( v1_relat_1(k2_zfmisc_1(_u49, _u48)) )).
% 0.14/0.38 cnf(matrix-62, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-63, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-64, plain, ( v1_xboole_0(_u51) | v1_xboole_0(_u50) | ~v1_xboole_0(k2_zfmisc_1(_u51, _u50)) )).
% 0.14/0.38 cnf(matrix-65, plain, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | m1_subset_1(skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54), k1_zfmisc_1(k2_zfmisc_1(_u56, _u55))) )).
% 0.14/0.38 cnf(matrix-66, plain, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | ( _u60 = k8_relset_2(_u56, _u55, _u54, skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54))) )).
% 0.14/0.38 cnf(matrix-67, plain, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) | r2_hidden(skolem11(_u60, _u59, _u58, _u57, _u56, _u55, _u54), _u57) )).
% 0.14/0.38 cnf(matrix-68, plain, ( ~m1_subset_1(_u57, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u59, _u58)))) | ~m1_subset_1(_u54, k1_zfmisc_1(_u56)) | ~m1_subset_1(_u53, k1_zfmisc_1(k2_zfmisc_1(_u56, _u55))) | ( _u60 != k8_relset_2(_u56, _u55, _u54, _u53)) | ~r2_hidden(_u53, _u57) | r2_hidden(_u60, a_6_0_relset_2(_u59, _u58, _u57, _u56, _u55, _u54)) )).
% 0.14/0.38 cnf(matrix-69, plain, ( v1_xboole_0(skolem12) )).
% 0.14/0.38 cnf(matrix-70, plain, ( v1_relat_1(skolem12) )).
% 0.14/0.38 cnf(matrix-71, plain, ( v1_xboole_0(_u63) | m1_subset_1(skolem13(_u63), k1_zfmisc_1(_u63)) )).
% 0.14/0.38 cnf(matrix-72, plain, ( v1_xboole_0(_u63) | ~v1_xboole_0(skolem13(_u63)) )).
% 0.14/0.38 cnf(matrix-73, plain, ( m1_relset_1(skolem14(_u66, _u65), _u66, _u65) )).
% 0.14/0.38 cnf(matrix-74, plain, ( v1_relat_1(skolem14(_u66, _u65)) )).
% 0.14/0.38 cnf(matrix-75, plain, ( v1_funct_1(skolem14(_u66, _u65)) )).
% 0.14/0.38 cnf(matrix-76, plain, ( ~v1_xboole_0(skolem15) )).
% 0.14/0.38 cnf(matrix-77, plain, ( v1_relat_1(skolem15) )).
% 0.14/0.38 cnf(matrix-78, plain, ( m1_subset_1(skolem16(_u69), k1_zfmisc_1(_u69)) )).
% 0.14/0.38 cnf(matrix-79, plain, ( v1_xboole_0(skolem16(_u69)) )).
% 0.14/0.38 cnf(matrix-80, plain, ( v1_relat_1(skolem17) )).
% 0.14/0.38 cnf(matrix-81, plain, ( v3_relat_1(skolem17) )).
% 0.14/0.38 cnf(matrix-82, plain, ( ~m1_subset_1(_u72, k1_zfmisc_1(k2_zfmisc_1(_u74, k1_zfmisc_1(_u73)))) | ( k4_relset_2(_u74, _u73, _u72, _u71) = k9_relat_1(_u72, _u71)) )).
% 0.14/0.38 cnf(matrix-83, plain, ( ~m1_subset_1(_u75, k1_zfmisc_1(k2_zfmisc_1(_u76, _u77))) | ( k6_relset_2(_u77, _u76, _u75) = k5_relset_2(_u76, _u75)) )).
% 0.14/0.38 cnf(matrix-84, plain, ( ~m1_subset_1(_u79, k1_zfmisc_1(_u81)) | ~m1_subset_1(_u78, k1_zfmisc_1(k2_zfmisc_1(_u81, _u80))) | ( k8_relset_2(_u81, _u80, _u79, _u78) = k7_relset_2(_u81, _u80, _u79, _u78)) )).
% 0.14/0.38 cnf(matrix-85, plain, ( ~m2_relset_1(_u85, _u89, _u87) | m1_relset_1(_u85, _u89, _u87) )).
% 0.14/0.38 cnf(matrix-86, plain, ( ~m1_relset_1(_u86, _u90, _u88) | m2_relset_1(_u86, _u90, _u88) )).
% 0.14/0.38 cnf(matrix-87, plain, ( r1_tarski(_u92, _u92) )).
% 0.14/0.38 cnf(matrix-88, plain, ( ~m1_subset_1(_u96, k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(_u98, _u97)))) | ~m1_subset_1(_u93, k1_zfmisc_1(_u95)) | m1_subset_1(a_6_0_relset_2(_u98, _u97, _u96, _u95, _u94, _u93), k1_zfmisc_1(k1_zfmisc_1(_u94))) )).
% 0.14/0.38 cnf(matrix-89, plain, ( ~r2_hidden(_u100, _u99) | m1_subset_1(_u100, _u99) )).
% 0.14/0.38 cnf(matrix-90, plain, ( ~m1_subset_1(_u102, _u101) | v1_xboole_0(_u101) | r2_hidden(_u102, _u101) )).
% 0.14/0.38 cnf(matrix-91, plain, ( ( _u105 = _u104) | r2_hidden(skolem18(_u105, _u104), _u105) | r2_hidden(skolem19(_u105, _u104), _u104) )).
% 0.14/0.38 cnf(matrix-92, plain, ( ( _u105 = _u104) | r2_hidden(skolem18(_u105, _u104), _u105) | ~r2_hidden(skolem19(_u105, _u104), _u105) )).
% 0.14/0.38 cnf(matrix-93, plain, ( ( _u105 = _u104) | ~r2_hidden(skolem18(_u105, _u104), _u104) | r2_hidden(skolem19(_u105, _u104), _u104) )).
% 0.14/0.38 cnf(matrix-94, plain, ( ( _u105 = _u104) | ~r2_hidden(skolem18(_u105, _u104), _u104) | ~r2_hidden(skolem19(_u105, _u104), _u105) )).
% 0.14/0.38 cnf(matrix-95, plain, ( ~m1_subset_1(_u112, k1_zfmisc_1(_u110)) | r1_tarski(_u112, _u110) )).
% 0.14/0.38 cnf(matrix-96, plain, ( ~r1_tarski(_u113, _u111) | m1_subset_1(_u113, k1_zfmisc_1(_u111)) )).
% 0.14/0.38 cnf(matrix-97, plain, ( ~r2_hidden(_u116, _u115) | ~m1_subset_1(_u115, k1_zfmisc_1(_u114)) | m1_subset_1(_u116, _u114) )).
% 0.14/0.38 cnf(matrix-98, plain, ( ~r2_hidden(_u119, _u118) | ~m1_subset_1(_u118, k1_zfmisc_1(_u117)) | ~v1_xboole_0(_u117) )).
% 0.14/0.38 cnf(matrix-99, plain, ( ~v1_xboole_0(_u120) | ( _u120 = k1_xboole_0) )).
% 0.14/0.38 cnf(matrix-100, plain, ( ~r2_hidden(_u122, _u121) | ~v1_xboole_0(_u121) )).
% 0.14/0.38 cnf(matrix-101, plain, ( ~v1_xboole_0(_u124) | ( _u124 = _u123) | ~v1_xboole_0(_u123) )).
% 0.14/0.38
% 0.14/0.38 % Proof stack:
% 0.14/0.38 cnf(proof-stack, plain,
% 0.14/0.38 proof_stack(
% 0.14/0.38 start(37),
% 0.14/0.38 left_branch(0, 88, 2, 2),
% 0.14/0.38 left_branch(0, 35, 0, 3),
% 0.14/0.38 right_branch(3),
% 0.14/0.38 left_branch(0, 36, 0, 4),
% 0.14/0.38 right_branch(4),
% 0.14/0.38 right_branch(2)
% 0.14/0.38 )).
% 0.14/0.38 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------