TSTP Solution File: SEU444+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU444+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 : n013.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 14:34:21 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 15:02:33 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% 0.19/0.42
% 0.19/0.42 % Formula: t56_relset_2 ( conjecture ) (definitionally) converted to clauses:
% 0.19/0.42 cnf(t56_relset_2-1, negated_conjecture, ( m2_relset_1(skolem3, skolem2, skolem1) )).
% 0.19/0.42 cnf(t56_relset_2-2, negated_conjecture, ( ( k1_funct_5(skolem3) != k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), skolem1)) | ( k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), k10_relset_1(skolem2, skolem1, skolem3, skolem2)) != k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), k2_funct_5(skolem3))) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc3_relat_1-1, axiom, ( v1_relat_1(skolem4) )).
% 0.19/0.42 cnf(rc3_relat_1-2, axiom, ( v3_relat_1(skolem4) )).
% 0.19/0.42
% 0.19/0.42 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.19/0.42 cnf(antisymmetry_r2_hidden-1, axiom, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k1_xboole_0, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc12_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.42 cnf(fc12_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.42 cnf(fc12_relat_1-3, axiom, ( v3_relat_1(k1_xboole_0) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc4_relat_1-1, axiom, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.42 cnf(fc4_relat_1-2, axiom, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t1_subset-1, axiom, ( ~r2_hidden(_u7, _u6) | m1_subset_1(_u7, _u6) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t4_subset-1, axiom, ( ~r2_hidden(_u10, _u9) | ~m1_subset_1(_u9, k1_zfmisc_1(_u8)) | m1_subset_1(_u10, _u8) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t5_subset-1, axiom, ( ~r2_hidden(_u13, _u12) | ~m1_subset_1(_u12, k1_zfmisc_1(_u11)) | ~v1_xboole_0(_u11) )).
% 0.19/0.42
% 0.19/0.42 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.19/0.42 cnf(reflexivity_r1_tarski-1, axiom, ( r1_tarski(_u15, _u15) )).
% 0.19/0.42
% 0.19/0.42 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(cc1_relat_1-1, axiom, ( ~v1_xboole_0(_u16) | v1_relat_1(_u16) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc11_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc11_relat_1-1, axiom, ( ~v1_xboole_0(_u17) | v1_xboole_0(k4_relat_1(_u17)) )).
% 0.19/0.42 cnf(fc11_relat_1-2, axiom, ( ~v1_xboole_0(_u17) | v1_relat_1(k4_relat_1(_u17)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc4_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc4_subset_1-1, axiom, ( v1_xboole_0(_u19) | v1_xboole_0(_u18) | ~v1_xboole_0(k2_zfmisc_1(_u19, _u18)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc1_relat_1-1, axiom, ( v1_xboole_0(skolem5) )).
% 0.19/0.42 cnf(rc1_relat_1-2, axiom, ( v1_relat_1(skolem5) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc1_subset_1-1, axiom, ( v1_xboole_0(_u22) | m1_subset_1(skolem6(_u22), k1_zfmisc_1(_u22)) )).
% 0.19/0.42 cnf(rc1_subset_1-2, axiom, ( v1_xboole_0(_u22) | ~v1_xboole_0(skolem6(_u22)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc2_relat_1-1, axiom, ( ~v1_xboole_0(skolem7) )).
% 0.19/0.42 cnf(rc2_relat_1-2, axiom, ( v1_relat_1(skolem7) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc2_subset_1-1, axiom, ( m1_subset_1(skolem8(_u25), k1_zfmisc_1(_u25)) )).
% 0.19/0.42 cnf(rc2_subset_1-2, axiom, ( v1_xboole_0(skolem8(_u25)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t2_subset-1, axiom, ( ~m1_subset_1(_u27, _u26) | v1_xboole_0(_u26) | r2_hidden(_u27, _u26) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t6_boole-1, axiom, ( ~v1_xboole_0(_u28) | ( _u28 = k1_xboole_0) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t7_boole-1, axiom, ( ~r2_hidden(_u30, _u29) | ~v1_xboole_0(_u29) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t8_boole-1, axiom, ( ~v1_xboole_0(_u32) | ( _u32 = _u31) | ~v1_xboole_0(_u31) )).
% 0.19/0.42
% 0.19/0.42 % Formula: involutiveness_k4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(involutiveness_k4_relat_1-1, axiom, ( ~v1_relat_1(_u33) | ( k4_relat_1(k4_relat_1(_u33)) = _u33) )).
% 0.19/0.42
% 0.19/0.42 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(existence_m1_relset_1-1, axiom, ( m1_relset_1(skolem9(_u36, _u35), _u36, _u35) )).
% 0.19/0.42
% 0.19/0.42 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(existence_m1_subset_1-1, axiom, ( m1_subset_1(skolem10(_u38), _u38) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k4_relat_1-1, axiom, ( ~v1_relat_1(_u39) | v1_relat_1(k4_relat_1(_u39)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k9_relat_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k9_relat_1, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_m1_relset_1, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_m1_subset_1, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(cc1_relset_1-1, axiom, ( ~m1_subset_1(_u40, k1_zfmisc_1(k2_zfmisc_1(_u42, _u41))) | v1_relat_1(_u40) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc1_subset_1-1, axiom, ( ~v1_xboole_0(k1_zfmisc_1(_u43)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc1_sysrel ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc1_sysrel-1, axiom, ( v1_relat_1(k2_zfmisc_1(_u45, _u44)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t3_subset-1, axiom, ( ~m1_subset_1(_u50, k1_zfmisc_1(_u48)) | r1_tarski(_u50, _u48) )).
% 0.19/0.42 cnf(t3_subset-2, axiom, ( ~r1_tarski(_u51, _u49) | m1_subset_1(_u51, k1_zfmisc_1(_u49)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: involutiveness_k6_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(involutiveness_k6_relset_1-1, axiom, ( ~m1_relset_1(_u52, _u54, _u53) | ( k6_relset_1(_u54, _u53, k6_relset_1(_u54, _u53, _u52)) = _u52) )).
% 0.19/0.42
% 0.19/0.42 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(existence_m2_relset_1-1, axiom, ( m2_relset_1(skolem11(_u57, _u56), _u57, _u56) )).
% 0.19/0.42
% 0.19/0.42 % Formula: redefinition_k10_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(redefinition_k10_relset_1-1, axiom, ( ~m1_relset_1(_u59, _u61, _u60) | ( k10_relset_1(_u61, _u60, _u59, _u58) = k9_relat_1(_u59, _u58)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: redefinition_k6_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(redefinition_k6_relset_1-1, axiom, ( ~m1_relset_1(_u62, _u64, _u63) | ( k6_relset_1(_u64, _u63, _u62) = k4_relat_1(_u62)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(redefinition_m2_relset_1-1, axiom, ( ~m2_relset_1(_u68, _u72, _u70) | m1_relset_1(_u68, _u72, _u70) )).
% 0.19/0.42 cnf(redefinition_m2_relset_1-2, axiom, ( ~m1_relset_1(_u69, _u73, _u71) | m2_relset_1(_u69, _u73, _u71) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k10_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k10_relset_1-1, axiom, ( ~m1_relset_1(_u75, _u77, _u76) | m1_subset_1(k10_relset_1(_u77, _u76, _u75, _u74), k1_zfmisc_1(_u76)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k1_funct_5 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k1_funct_5, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k2_funct_5 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k2_funct_5, axiom, $true).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_k6_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_k6_relset_1-1, axiom, ( ~m1_relset_1(_u78, _u80, _u79) | m2_relset_1(k6_relset_1(_u80, _u79, _u78), _u79, _u80) )).
% 0.19/0.42
% 0.19/0.42 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(dt_m2_relset_1-1, axiom, ( ~m2_relset_1(_u81, _u83, _u82) | m1_subset_1(_u81, k1_zfmisc_1(k2_zfmisc_1(_u83, _u82))) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t51_relset_2 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(t51_relset_2-1, axiom, ( ~m2_relset_1(_u84, _u85, _u86) | ( k1_funct_5(_u84) = k10_relset_1(_u86, _u85, k6_relset_1(_u85, _u86, _u84), _u86)) )).
% 0.19/0.42 cnf(t51_relset_2-2, axiom, ( ~m2_relset_1(_u84, _u85, _u86) | ( k2_funct_5(_u84) = k10_relset_1(_u85, _u86, _u84, _u85)) )).
% 0.19/0.42
% 0.19/0.42 % Problem matrix:
% 0.19/0.42 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.42 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( k1_funct_5(__eqx_0) = k1_funct_5(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( k6_relset_1(__eqx_0, __eqx_1, __eqx_2) = k6_relset_1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.19/0.42 cnf(matrix-5, 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)) )).
% 0.19/0.42 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( k2_funct_5(__eqx_0) = k2_funct_5(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( k1_zfmisc_1(__eqx_0) = k1_zfmisc_1(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( k4_relat_1(__eqx_0) = k4_relat_1(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k2_zfmisc_1(__eqx_0, __eqx_1) = k2_zfmisc_1(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( k9_relat_1(__eqx_0, __eqx_1) = k9_relat_1(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-16, 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) )).
% 0.19/0.42 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ~v1_relat_1(__eqx_0) | v1_relat_1(__eqy_0) )).
% 0.19/0.42 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ~v3_relat_1(__eqx_0) | v3_relat_1(__eqy_0) )).
% 0.19/0.42 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r2_hidden(__eqx_0, __eqx_1) | r2_hidden(__eqy_0, __eqy_1) )).
% 0.19/0.42 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ~v1_xboole_0(__eqx_0) | v1_xboole_0(__eqy_0) )).
% 0.19/0.42 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~m1_subset_1(__eqx_0, __eqx_1) | m1_subset_1(__eqy_0, __eqy_1) )).
% 0.19/0.42 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~r1_tarski(__eqx_0, __eqx_1) | r1_tarski(__eqy_0, __eqy_1) )).
% 0.19/0.42 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) )).
% 0.19/0.42 cnf(matrix-24, plain, ( m2_relset_1(skolem3, skolem2, skolem1) )).
% 0.19/0.42 cnf(matrix-25, plain, ( ( k1_funct_5(skolem3) != k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), skolem1)) | ( k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), k10_relset_1(skolem2, skolem1, skolem3, skolem2)) != k10_relset_1(skolem1, skolem2, k6_relset_1(skolem2, skolem1, skolem3), k2_funct_5(skolem3))) )).
% 0.19/0.42 cnf(matrix-26, plain, ( v1_relat_1(skolem4) )).
% 0.19/0.42 cnf(matrix-27, plain, ( v3_relat_1(skolem4) )).
% 0.19/0.42 cnf(matrix-28, plain, ( ~r2_hidden(_u5, _u4) | ~r2_hidden(_u4, _u5) )).
% 0.19/0.42 cnf(matrix-29, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-30, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-31, plain, ( v3_relat_1(k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-32, plain, ( v1_xboole_0(k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-33, plain, ( v1_relat_1(k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-34, plain, ( ~r2_hidden(_u7, _u6) | m1_subset_1(_u7, _u6) )).
% 0.19/0.42 cnf(matrix-35, plain, ( ~r2_hidden(_u10, _u9) | ~m1_subset_1(_u9, k1_zfmisc_1(_u8)) | m1_subset_1(_u10, _u8) )).
% 0.19/0.42 cnf(matrix-36, plain, ( ~r2_hidden(_u13, _u12) | ~m1_subset_1(_u12, k1_zfmisc_1(_u11)) | ~v1_xboole_0(_u11) )).
% 0.19/0.42 cnf(matrix-37, plain, ( r1_tarski(_u15, _u15) )).
% 0.19/0.42 cnf(matrix-38, plain, ( ~v1_xboole_0(_u16) | v1_relat_1(_u16) )).
% 0.19/0.42 cnf(matrix-39, plain, ( ~v1_xboole_0(_u17) | v1_xboole_0(k4_relat_1(_u17)) )).
% 0.19/0.42 cnf(matrix-40, plain, ( ~v1_xboole_0(_u17) | v1_relat_1(k4_relat_1(_u17)) )).
% 0.19/0.42 cnf(matrix-41, plain, ( v1_xboole_0(_u19) | v1_xboole_0(_u18) | ~v1_xboole_0(k2_zfmisc_1(_u19, _u18)) )).
% 0.19/0.42 cnf(matrix-42, plain, ( v1_xboole_0(skolem5) )).
% 0.19/0.42 cnf(matrix-43, plain, ( v1_relat_1(skolem5) )).
% 0.19/0.42 cnf(matrix-44, plain, ( v1_xboole_0(_u22) | m1_subset_1(skolem6(_u22), k1_zfmisc_1(_u22)) )).
% 0.19/0.42 cnf(matrix-45, plain, ( v1_xboole_0(_u22) | ~v1_xboole_0(skolem6(_u22)) )).
% 0.19/0.42 cnf(matrix-46, plain, ( ~v1_xboole_0(skolem7) )).
% 0.19/0.42 cnf(matrix-47, plain, ( v1_relat_1(skolem7) )).
% 0.19/0.42 cnf(matrix-48, plain, ( m1_subset_1(skolem8(_u25), k1_zfmisc_1(_u25)) )).
% 0.19/0.42 cnf(matrix-49, plain, ( v1_xboole_0(skolem8(_u25)) )).
% 0.19/0.42 cnf(matrix-50, plain, ( ~m1_subset_1(_u27, _u26) | v1_xboole_0(_u26) | r2_hidden(_u27, _u26) )).
% 0.19/0.42 cnf(matrix-51, plain, ( ~v1_xboole_0(_u28) | ( _u28 = k1_xboole_0) )).
% 0.19/0.42 cnf(matrix-52, plain, ( ~r2_hidden(_u30, _u29) | ~v1_xboole_0(_u29) )).
% 0.19/0.42 cnf(matrix-53, plain, ( ~v1_xboole_0(_u32) | ( _u32 = _u31) | ~v1_xboole_0(_u31) )).
% 0.19/0.42 cnf(matrix-54, plain, ( ~v1_relat_1(_u33) | ( k4_relat_1(k4_relat_1(_u33)) = _u33) )).
% 0.19/0.42 cnf(matrix-55, plain, ( m1_relset_1(skolem9(_u36, _u35), _u36, _u35) )).
% 0.19/0.42 cnf(matrix-56, plain, ( m1_subset_1(skolem10(_u38), _u38) )).
% 0.19/0.42 cnf(matrix-57, plain, ( ~v1_relat_1(_u39) | v1_relat_1(k4_relat_1(_u39)) )).
% 0.19/0.42 cnf(matrix-58, plain, ( ~m1_subset_1(_u40, k1_zfmisc_1(k2_zfmisc_1(_u42, _u41))) | v1_relat_1(_u40) )).
% 0.19/0.42 cnf(matrix-59, plain, ( ~v1_xboole_0(k1_zfmisc_1(_u43)) )).
% 0.19/0.42 cnf(matrix-60, plain, ( v1_relat_1(k2_zfmisc_1(_u45, _u44)) )).
% 0.19/0.42 cnf(matrix-61, plain, ( ~m1_subset_1(_u50, k1_zfmisc_1(_u48)) | r1_tarski(_u50, _u48) )).
% 0.19/0.42 cnf(matrix-62, plain, ( ~r1_tarski(_u51, _u49) | m1_subset_1(_u51, k1_zfmisc_1(_u49)) )).
% 0.19/0.42 cnf(matrix-63, plain, ( ~m1_relset_1(_u52, _u54, _u53) | ( k6_relset_1(_u54, _u53, k6_relset_1(_u54, _u53, _u52)) = _u52) )).
% 0.19/0.42 cnf(matrix-64, plain, ( m2_relset_1(skolem11(_u57, _u56), _u57, _u56) )).
% 0.19/0.42 cnf(matrix-65, plain, ( ~m1_relset_1(_u59, _u61, _u60) | ( k10_relset_1(_u61, _u60, _u59, _u58) = k9_relat_1(_u59, _u58)) )).
% 0.19/0.42 cnf(matrix-66, plain, ( ~m1_relset_1(_u62, _u64, _u63) | ( k6_relset_1(_u64, _u63, _u62) = k4_relat_1(_u62)) )).
% 0.19/0.42 cnf(matrix-67, plain, ( ~m2_relset_1(_u68, _u72, _u70) | m1_relset_1(_u68, _u72, _u70) )).
% 0.19/0.42 cnf(matrix-68, plain, ( ~m1_relset_1(_u69, _u73, _u71) | m2_relset_1(_u69, _u73, _u71) )).
% 0.19/0.42 cnf(matrix-69, plain, ( ~m1_relset_1(_u75, _u77, _u76) | m1_subset_1(k10_relset_1(_u77, _u76, _u75, _u74), k1_zfmisc_1(_u76)) )).
% 0.19/0.42 cnf(matrix-70, plain, ( ~m1_relset_1(_u78, _u80, _u79) | m2_relset_1(k6_relset_1(_u80, _u79, _u78), _u79, _u80) )).
% 0.19/0.42 cnf(matrix-71, plain, ( ~m2_relset_1(_u81, _u83, _u82) | m1_subset_1(_u81, k1_zfmisc_1(k2_zfmisc_1(_u83, _u82))) )).
% 0.19/0.42 cnf(matrix-72, plain, ( ~m2_relset_1(_u84, _u85, _u86) | ( k1_funct_5(_u84) = k10_relset_1(_u86, _u85, k6_relset_1(_u85, _u86, _u84), _u86)) )).
% 0.19/0.42 cnf(matrix-73, plain, ( ~m2_relset_1(_u84, _u85, _u86) | ( k2_funct_5(_u84) = k10_relset_1(_u85, _u86, _u84, _u85)) )).
% 0.19/0.42
% 0.19/0.42 % Proof stack:
% 0.19/0.42 cnf(proof-stack, plain,
% 0.19/0.42 proof_stack(
% 0.19/0.42 start(25),
% 0.19/0.42 left_branch(0, 72, 1, 2),
% 0.19/0.42 left_branch(0, 24, 0, 3),
% 0.19/0.42 right_branch(3),
% 0.19/0.42 right_branch(2),
% 0.19/0.42 left_branch(0, 5, 4, 3),
% 0.19/0.42 left_branch(0, 0, 0, 4),
% 0.19/0.42 right_branch(4),
% 0.19/0.42 left_branch(0, 1, 1, 5),
% 0.19/0.42 left_branch(0, 73, 1, 6),
% 0.19/0.42 left_branch(0, 24, 0, 7),
% 0.19/0.42 right_branch(7),
% 0.19/0.42 right_branch(6),
% 0.19/0.42 right_branch(5),
% 0.19/0.42 left_branch(0, 4, 3, 6),
% 0.19/0.42 left_branch(0, 0, 0, 7),
% 0.19/0.42 right_branch(7),
% 0.19/0.42 left_branch(0, 0, 0, 8),
% 0.19/0.42 right_branch(8),
% 0.19/0.42 lemmata(0, 1),
% 0.19/0.42 right_branch(6),
% 0.19/0.42 left_branch(0, 0, 0, 7),
% 0.19/0.42 right_branch(7),
% 0.19/0.42 right_branch(3)
% 0.19/0.42 )).
% 0.19/0.42 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------