TSTP Solution File: SEU424+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU424+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 : n024.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 14:34:15 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 15:12:01 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% 0.12/0.36
% 0.12/0.36 % Formula: t18_relset_2 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36 cnf(t18_relset_2-1, negated_conjecture, ( ~v1_xboole_0(skolem1) )).
% 0.12/0.36 cnf(t18_relset_2-2, negated_conjecture, ( m1_subset_1(skolem3, k1_zfmisc_1(skolem1)) )).
% 0.12/0.36 cnf(t18_relset_2-3, negated_conjecture, ( m2_relset_1(skolem4, skolem1, skolem2) )).
% 0.12/0.36 cnf(t18_relset_2-4, negated_conjecture, ( ~m1_subset_1(a_4_0_relset_2(skolem1, skolem2, skolem3, skolem4), k1_zfmisc_1(k1_zfmisc_1(skolem2))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.12/0.36 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.12/0.36
% 0.12/0.36 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(cc1_relat_1-1, axiom, ( ~v1_xboole_0(_u6) | v1_relat_1(_u6) )).
% 0.12/0.36
% 0.12/0.36 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 0.12/0.36
% 0.12/0.36 % Formula: d1_relset_2 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(d1_relset_2-1, axiom, ( ~m2_relset_1(_u11, _u13, _u12) | ~m1_subset_1(_u10, _u13) | ( k2_relset_2(_u13, _u12, _u11, _u10) = k10_relset_1(_u13, _u12, _u11, k1_tarski(_u10))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k10_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k10_relset_1-1, axiom, ( ~m1_relset_1(_u15, _u17, _u16) | m1_subset_1(k10_relset_1(_u17, _u16, _u15, _u14), k1_zfmisc_1(_u16)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k1_tarski, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k1_xboole_0, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k2_relset_2 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k2_relset_2-1, axiom, ( ~m1_relset_1(_u19, _u21, _u20) | ~m1_subset_1(_u18, _u21) | m1_subset_1(k2_relset_2(_u21, _u20, _u19, _u18), k1_zfmisc_1(_u20)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k9_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k9_relat_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m1_relset_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m1_subset_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u22, _u24, _u23) | m1_subset_1(_u22, k1_zfmisc_1(k2_zfmisc_1(_u24, _u23))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem5(_u27, _u26), _u27, _u26) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem6(_u29), _u29) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem7(_u32, _u31), _u32, _u31) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc12_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.12/0.36 cnf(fc12_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.12/0.36 cnf(fc12_relat_1-3, axiom, ( v3_relat_1(k1_xboole_0) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u33)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc1_sysrel ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc1_sysrel-1, axiom, ( v1_relat_1(k2_zfmisc_1(_u35, _u34)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc2_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc2_subset_1-1, axiom, ( ~v1_xboole_0(k1_tarski(_u36)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc4_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.12/0.36 cnf(fc4_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u38) | v1_xboole_0(_u37) | ~v1_xboole_0(k2_zfmisc_1(_u38, _u37)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fraenkel_a_4_0_relset_2 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fraenkel_a_4_0_relset_2-1, axiom, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | m1_subset_1(skolem8(_u45, _u44, _u43, _u42, _u41), _u44) )).
% 0.12/0.36 cnf(fraenkel_a_4_0_relset_2-2, axiom, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | ( _u45 = k2_relset_2(_u44, _u43, _u41, skolem8(_u45, _u44, _u43, _u42, _u41))) )).
% 0.12/0.36 cnf(fraenkel_a_4_0_relset_2-3, axiom, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | r2_hidden(skolem8(_u45, _u44, _u43, _u42, _u41), _u42) )).
% 0.12/0.36 cnf(fraenkel_a_4_0_relset_2-4, axiom, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~m1_subset_1(_u40, _u44) | ( _u45 != k2_relset_2(_u44, _u43, _u41, _u40)) | ~r2_hidden(_u40, _u42) | r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_relat_1-1, axiom, ( v1_xboole_0(skolem9) )).
% 0.12/0.36 cnf(rc1_relat_1-2, axiom, ( v1_relat_1(skolem9) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u48) | m1_subset_1(skolem10(_u48), k1_zfmisc_1(_u48)) )).
% 0.12/0.36 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u48) | ~v1_xboole_0(skolem10(_u48)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc2_relat_1-1, axiom, ( ~v1_xboole_0(skolem11) )).
% 0.12/0.36 cnf(rc2_relat_1-2, axiom, ( v1_relat_1(skolem11) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem12(_u51), k1_zfmisc_1(_u51)) )).
% 0.12/0.36 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem12(_u51)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc3_relat_1-1, axiom, ( v1_relat_1(skolem13) )).
% 0.12/0.36 cnf(rc3_relat_1-2, axiom, ( v3_relat_1(skolem13) )).
% 0.12/0.36
% 0.12/0.36 % Formula: redefinition_k10_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(redefinition_k10_relset_1-1, axiom, ( ~m1_relset_1(_u54, _u56, _u55) | ( k10_relset_1(_u56, _u55, _u54, _u53) = k9_relat_1(_u54, _u53)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u60, _u64, _u62) | m1_relset_1(_u60, _u64, _u62) )).
% 0.12/0.36 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u61, _u65, _u63) | m2_relset_1(_u61, _u65, _u63) )).
% 0.12/0.36
% 0.12/0.36 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.12/0.36 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u67, _u67) )).
% 0.12/0.36
% 0.12/0.36 % Formula: s8_domain_1__e1_22__relset_2 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(s8_domain_1__e1_22__relset_2-1, axiom, ( v1_xboole_0(_u71) | ~m1_subset_1(_u69, k1_zfmisc_1(_u71)) | ~m2_relset_1(_u68, _u71, _u70) | m1_subset_1(a_4_0_relset_2(_u71, _u70, _u69, _u68), k1_zfmisc_1(k1_zfmisc_1(_u70))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u73, _u72) | m1_subset_1(_u73, _u72) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u75, _u74) | v1_xboole_0(_u74) | r2_hidden(_u75, _u74) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t2_tarski ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t2_tarski-1, axiom, ( ( _u78 = _u77) | r2_hidden(skolem14(_u78, _u77), _u78) | r2_hidden(skolem15(_u78, _u77), _u77) )).
% 0.12/0.36 cnf(t2_tarski-2, axiom, ( ( _u78 = _u77) | r2_hidden(skolem14(_u78, _u77), _u78) | ~r2_hidden(skolem15(_u78, _u77), _u78) )).
% 0.12/0.36 cnf(t2_tarski-3, axiom, ( ( _u78 = _u77) | ~r2_hidden(skolem14(_u78, _u77), _u77) | r2_hidden(skolem15(_u78, _u77), _u77) )).
% 0.12/0.36 cnf(t2_tarski-4, axiom, ( ( _u78 = _u77) | ~r2_hidden(skolem14(_u78, _u77), _u77) | ~r2_hidden(skolem15(_u78, _u77), _u78) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u85, k1_zfmisc_1(_u83)) | r1_tarski(_u85, _u83) )).
% 0.12/0.36 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u86, _u84) | m1_subset_1(_u86, k1_zfmisc_1(_u84)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u89, _u88) | ~m1_subset_1(_u88, k1_zfmisc_1(_u87)) | m1_subset_1(_u89, _u87) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u92, _u91) | ~m1_subset_1(_u91, k1_zfmisc_1(_u90)) | ~v1_xboole_0(_u90) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u93) | ( _u93 = k1_xboole_0) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u95, _u94) | ~v1_xboole_0(_u94) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u97) | ( _u97 = _u96) | ~v1_xboole_0(_u96) )).
% 0.12/0.36
% 0.12/0.36 % Problem matrix:
% 0.12/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( a_4_0_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = a_4_0_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.12/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k2_relset_2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k2_relset_2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.12/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( k1_tarski(__eqx_0) = k1_tarski(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( k10_relset_1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = k10_relset_1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.12/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k9_relat_1(__eqx_0, __eqx_1) = k9_relat_1(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 0.12/0.36 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem15(__eqx_0, __eqx_1) = skolem15(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.12/0.36 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-20, 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) )).
% 0.12/0.36 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.12/0.36 cnf(matrix-23, 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) )).
% 0.12/0.36 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~v3_relat_1(__eqx_0) | v3_relat_1(__eqy_0) )).
% 0.12/0.36 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-26, plain, ( ~v1_xboole_0(skolem1) )).
% 0.12/0.36 cnf(matrix-27, plain, ( m1_subset_1(skolem3, k1_zfmisc_1(skolem1)) )).
% 0.12/0.36 cnf(matrix-28, plain, ( m2_relset_1(skolem4, skolem1, skolem2) )).
% 0.12/0.36 cnf(matrix-29, plain, ( ~m1_subset_1(a_4_0_relset_2(skolem1, skolem2, skolem3, skolem4), k1_zfmisc_1(k1_zfmisc_1(skolem2))) )).
% 0.12/0.36 cnf(matrix-30, plain, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.12/0.36 cnf(matrix-31, plain, ( ~v1_xboole_0(_u6) | v1_relat_1(_u6) )).
% 0.12/0.36 cnf(matrix-32, plain, ( ~m1_subset_1(_u7, k1_zfmisc_1(k2_zfmisc_1(_u9, _u8))) | v1_relat_1(_u7) )).
% 0.12/0.36 cnf(matrix-33, plain, ( ~m2_relset_1(_u11, _u13, _u12) | ~m1_subset_1(_u10, _u13) | ( k2_relset_2(_u13, _u12, _u11, _u10) = k10_relset_1(_u13, _u12, _u11, k1_tarski(_u10))) )).
% 0.12/0.36 cnf(matrix-34, plain, ( ~m1_relset_1(_u15, _u17, _u16) | m1_subset_1(k10_relset_1(_u17, _u16, _u15, _u14), k1_zfmisc_1(_u16)) )).
% 0.12/0.36 cnf(matrix-35, plain, ( ~m1_relset_1(_u19, _u21, _u20) | ~m1_subset_1(_u18, _u21) | m1_subset_1(k2_relset_2(_u21, _u20, _u19, _u18), k1_zfmisc_1(_u20)) )).
% 0.12/0.36 cnf(matrix-36, plain, ( ~m2_relset_1(_u22, _u24, _u23) | m1_subset_1(_u22, k1_zfmisc_1(k2_zfmisc_1(_u24, _u23))) )).
% 0.12/0.36 cnf(matrix-37, plain, ( m1_relset_1(skolem5(_u27, _u26), _u27, _u26) )).
% 0.12/0.36 cnf(matrix-38, plain, ( m1_subset_1(skolem6(_u29), _u29) )).
% 0.12/0.36 cnf(matrix-39, plain, ( m2_relset_1(skolem7(_u32, _u31), _u32, _u31) )).
% 0.12/0.36 cnf(matrix-40, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-41, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-42, plain, ( v3_relat_1(k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-43, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u33)) )).
% 0.12/0.36 cnf(matrix-44, plain, ( v1_relat_1(k2_zfmisc_1(_u35, _u34)) )).
% 0.12/0.36 cnf(matrix-45, plain, ( ~v1_xboole_0(k1_tarski(_u36)) )).
% 0.12/0.36 cnf(matrix-46, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-47, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-48, plain, ( v1_xboole_0(_u38) | v1_xboole_0(_u37) | ~v1_xboole_0(k2_zfmisc_1(_u38, _u37)) )).
% 0.12/0.36 cnf(matrix-49, plain, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | m1_subset_1(skolem8(_u45, _u44, _u43, _u42, _u41), _u44) )).
% 0.12/0.36 cnf(matrix-50, plain, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | ( _u45 = k2_relset_2(_u44, _u43, _u41, skolem8(_u45, _u44, _u43, _u42, _u41))) )).
% 0.12/0.36 cnf(matrix-51, plain, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) | r2_hidden(skolem8(_u45, _u44, _u43, _u42, _u41), _u42) )).
% 0.12/0.36 cnf(matrix-52, plain, ( v1_xboole_0(_u44) | ~m1_subset_1(_u42, k1_zfmisc_1(_u44)) | ~m2_relset_1(_u41, _u44, _u43) | ~m1_subset_1(_u40, _u44) | ( _u45 != k2_relset_2(_u44, _u43, _u41, _u40)) | ~r2_hidden(_u40, _u42) | r2_hidden(_u45, a_4_0_relset_2(_u44, _u43, _u42, _u41)) )).
% 0.12/0.36 cnf(matrix-53, plain, ( v1_xboole_0(skolem9) )).
% 0.12/0.36 cnf(matrix-54, plain, ( v1_relat_1(skolem9) )).
% 0.12/0.36 cnf(matrix-55, plain, ( v1_xboole_0(_u48) | m1_subset_1(skolem10(_u48), k1_zfmisc_1(_u48)) )).
% 0.12/0.36 cnf(matrix-56, plain, ( v1_xboole_0(_u48) | ~v1_xboole_0(skolem10(_u48)) )).
% 0.12/0.36 cnf(matrix-57, plain, ( ~v1_xboole_0(skolem11) )).
% 0.12/0.36 cnf(matrix-58, plain, ( v1_relat_1(skolem11) )).
% 0.12/0.36 cnf(matrix-59, plain, ( m1_subset_1(skolem12(_u51), k1_zfmisc_1(_u51)) )).
% 0.12/0.36 cnf(matrix-60, plain, ( v1_xboole_0(skolem12(_u51)) )).
% 0.12/0.36 cnf(matrix-61, plain, ( v1_relat_1(skolem13) )).
% 0.12/0.36 cnf(matrix-62, plain, ( v3_relat_1(skolem13) )).
% 0.12/0.36 cnf(matrix-63, plain, ( ~m1_relset_1(_u54, _u56, _u55) | ( k10_relset_1(_u56, _u55, _u54, _u53) = k9_relat_1(_u54, _u53)) )).
% 0.12/0.36 cnf(matrix-64, plain, ( ~m2_relset_1(_u60, _u64, _u62) | m1_relset_1(_u60, _u64, _u62) )).
% 0.12/0.36 cnf(matrix-65, plain, ( ~m1_relset_1(_u61, _u65, _u63) | m2_relset_1(_u61, _u65, _u63) )).
% 0.12/0.36 cnf(matrix-66, plain, ( r1_tarski(_u67, _u67) )).
% 0.12/0.36 cnf(matrix-67, plain, ( v1_xboole_0(_u71) | ~m1_subset_1(_u69, k1_zfmisc_1(_u71)) | ~m2_relset_1(_u68, _u71, _u70) | m1_subset_1(a_4_0_relset_2(_u71, _u70, _u69, _u68), k1_zfmisc_1(k1_zfmisc_1(_u70))) )).
% 0.12/0.36 cnf(matrix-68, plain, ( ~r2_hidden(_u73, _u72) | m1_subset_1(_u73, _u72) )).
% 0.12/0.36 cnf(matrix-69, plain, ( ~m1_subset_1(_u75, _u74) | v1_xboole_0(_u74) | r2_hidden(_u75, _u74) )).
% 0.12/0.36 cnf(matrix-70, plain, ( ( _u78 = _u77) | r2_hidden(skolem14(_u78, _u77), _u78) | r2_hidden(skolem15(_u78, _u77), _u77) )).
% 0.12/0.36 cnf(matrix-71, plain, ( ( _u78 = _u77) | r2_hidden(skolem14(_u78, _u77), _u78) | ~r2_hidden(skolem15(_u78, _u77), _u78) )).
% 0.12/0.36 cnf(matrix-72, plain, ( ( _u78 = _u77) | ~r2_hidden(skolem14(_u78, _u77), _u77) | r2_hidden(skolem15(_u78, _u77), _u77) )).
% 0.12/0.36 cnf(matrix-73, plain, ( ( _u78 = _u77) | ~r2_hidden(skolem14(_u78, _u77), _u77) | ~r2_hidden(skolem15(_u78, _u77), _u78) )).
% 0.12/0.36 cnf(matrix-74, plain, ( ~m1_subset_1(_u85, k1_zfmisc_1(_u83)) | r1_tarski(_u85, _u83) )).
% 0.12/0.36 cnf(matrix-75, plain, ( ~r1_tarski(_u86, _u84) | m1_subset_1(_u86, k1_zfmisc_1(_u84)) )).
% 0.12/0.36 cnf(matrix-76, plain, ( ~r2_hidden(_u89, _u88) | ~m1_subset_1(_u88, k1_zfmisc_1(_u87)) | m1_subset_1(_u89, _u87) )).
% 0.12/0.36 cnf(matrix-77, plain, ( ~r2_hidden(_u92, _u91) | ~m1_subset_1(_u91, k1_zfmisc_1(_u90)) | ~v1_xboole_0(_u90) )).
% 0.12/0.36 cnf(matrix-78, plain, ( ~v1_xboole_0(_u93) | ( _u93 = k1_xboole_0) )).
% 0.12/0.36 cnf(matrix-79, plain, ( ~r2_hidden(_u95, _u94) | ~v1_xboole_0(_u94) )).
% 0.12/0.36 cnf(matrix-80, plain, ( ~v1_xboole_0(_u97) | ( _u97 = _u96) | ~v1_xboole_0(_u96) )).
% 0.12/0.36
% 0.12/0.36 % Proof stack:
% 0.12/0.36 cnf(proof-stack, plain,
% 0.12/0.36 proof_stack(
% 0.12/0.36 start(26),
% 0.12/0.36 left_branch(0, 67, 0, 2),
% 0.12/0.36 left_branch(0, 29, 0, 3),
% 0.12/0.36 right_branch(3),
% 0.12/0.36 left_branch(0, 28, 0, 4),
% 0.12/0.36 right_branch(4),
% 0.12/0.36 left_branch(0, 27, 0, 5),
% 0.12/0.36 right_branch(5),
% 0.12/0.36 right_branch(2)
% 0.12/0.36 )).
% 0.12/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------