%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU424+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : Tue May 5 05:12:16 PM UTC 2026
% Result : Theorem 0.28s 1.62s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 82)
% Comments :
%------------------------------------------------------------------------------
fof(fraenkel_a_4_0_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X4,k1_zfmisc_1(X2))
& m2_relset_1(X5,X2,X3) )
=> ( r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,X2)
& X1 = k2_relset_2(X2,X3,X5,X6)
& r2_hidden(X6,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_4_0_relset_2) ).
fof(t18_relset_2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
fof(s8_domain_1__e1_22__relset_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(fc4_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc2_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(dt_k2_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k2_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_relset_2) ).
fof(d1_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ! [X4] :
( m1_subset_1(X4,X1)
=> k2_relset_2(X1,X2,X3,X4) = k10_relset_1(X1,X2,X3,k1_tarski(X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relset_2) ).
fof(dt_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m2_relset_1,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(fc1_sysrel,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_relat_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(fc12_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(i_0_36,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X4,k1_zfmisc_1(X2))
& m2_relset_1(X5,X2,X3) )
=> ( r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,X2)
& X1 = k2_relset_2(X2,X3,X5,X6)
& r2_hidden(X6,X4) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_0_relset_2]) ).
fof(i_0_37,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_relset_2])]) ).
fof(i_0_38,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(X1))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[s8_domain_1__e1_22__relset_2]) ).
fof(i_0_39,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc4_subset_1]) ).
fof(i_0_40,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_41,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_42,plain,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(i_0_43,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_44,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_45,plain,
! [X131,X132,X133,X134,X135,X137] :
( ( m1_subset_1(esk8_5(X131,X132,X133,X134,X135),X132)
| ~ r2_hidden(X131,a_4_0_relset_2(X132,X133,X134,X135))
| v1_xboole_0(X132)
| ~ m1_subset_1(X134,k1_zfmisc_1(X132))
| ~ m2_relset_1(X135,X132,X133) )
& ( X131 = k2_relset_2(X132,X133,X135,esk8_5(X131,X132,X133,X134,X135))
| ~ r2_hidden(X131,a_4_0_relset_2(X132,X133,X134,X135))
| v1_xboole_0(X132)
| ~ m1_subset_1(X134,k1_zfmisc_1(X132))
| ~ m2_relset_1(X135,X132,X133) )
& ( r2_hidden(esk8_5(X131,X132,X133,X134,X135),X134)
| ~ r2_hidden(X131,a_4_0_relset_2(X132,X133,X134,X135))
| v1_xboole_0(X132)
| ~ m1_subset_1(X134,k1_zfmisc_1(X132))
| ~ m2_relset_1(X135,X132,X133) )
& ( ~ m1_subset_1(X137,X132)
| X131 != k2_relset_2(X132,X133,X135,X137)
| ~ r2_hidden(X137,X134)
| r2_hidden(X131,a_4_0_relset_2(X132,X133,X134,X135))
| v1_xboole_0(X132)
| ~ m1_subset_1(X134,k1_zfmisc_1(X132))
| ~ m2_relset_1(X135,X132,X133) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_36])])])])]) ).
fof(i_0_46,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
& m2_relset_1(esk4_0,esk1_0,esk2_0)
& ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_37])])]) ).
fof(i_0_47,plain,
! [X153,X154,X155,X156] :
( v1_xboole_0(X153)
| ~ m1_subset_1(X155,k1_zfmisc_1(X153))
| ~ m2_relset_1(X156,X153,X154)
| m1_subset_1(a_4_0_relset_2(X153,X154,X155,X156),k1_zfmisc_1(k1_zfmisc_1(X154))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_38])]) ).
fof(i_0_48,plain,
! [X110,X111,X112,X113] :
( ~ m1_relset_1(X112,X110,X111)
| ~ m1_subset_1(X113,X110)
| m1_subset_1(k2_relset_2(X110,X111,X112,X113),k1_zfmisc_1(X111)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_relset_2])]) ).
fof(i_0_49,plain,
! [X102,X103,X104,X105] :
( ~ m2_relset_1(X104,X102,X103)
| ~ m1_subset_1(X105,X102)
| k2_relset_2(X102,X103,X104,X105) = k10_relset_1(X102,X103,X104,k1_tarski(X105)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_2])])]) ).
fof(i_0_50,plain,
! [X106,X107,X108,X109] :
( ~ m1_relset_1(X108,X106,X107)
| m1_subset_1(k10_relset_1(X106,X107,X108,X109),k1_zfmisc_1(X107)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
fof(i_0_51,plain,
! [X145,X146,X147,X148] :
( ~ m1_relset_1(X147,X145,X146)
| k10_relset_1(X145,X146,X147,X148) = k9_relat_1(X147,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(i_0_52,plain,
! [X114,X115,X116] :
( ~ m2_relset_1(X116,X114,X115)
| m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X114,X115))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_53,plain,
! [X149,X150,X151] :
( ( ~ m2_relset_1(X151,X149,X150)
| m1_relset_1(X151,X149,X150) )
& ( ~ m1_relset_1(X151,X149,X150)
| m2_relset_1(X151,X149,X150) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_54,plain,
! [X161,X162] :
( ( ~ r2_hidden(esk14_2(X161,X162),X161)
| ~ r2_hidden(esk14_2(X161,X162),X162)
| X161 = X162 )
& ( r2_hidden(esk14_2(X161,X162),X161)
| r2_hidden(esk14_2(X161,X162),X162)
| X161 = X162 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_55,plain,
! [X99,X100,X101] :
( ~ m1_subset_1(X101,k1_zfmisc_1(k2_zfmisc_1(X99,X100)))
| v1_relat_1(X101) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_56,plain,
! [X117,X118] : m1_relset_1(esk5_2(X117,X118),X117,X118),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_57,plain,
! [X122,X123] : m2_relset_1(esk7_2(X122,X123),X122,X123),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_58,plain,
! [X166,X167,X168] :
( ~ r2_hidden(X166,X167)
| ~ m1_subset_1(X167,k1_zfmisc_1(X168))
| m1_subset_1(X166,X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_59,plain,
! [X169,X170,X171] :
( ~ r2_hidden(X169,X170)
| ~ m1_subset_1(X170,k1_zfmisc_1(X171))
| ~ v1_xboole_0(X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_60,plain,
! [X129,X130] :
( v1_xboole_0(X129)
| v1_xboole_0(X130)
| ~ v1_xboole_0(k2_zfmisc_1(X129,X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_39])]) ).
fof(i_0_61,plain,
! [X164,X165] :
( ( ~ m1_subset_1(X164,k1_zfmisc_1(X165))
| r1_tarski(X164,X165) )
& ( ~ r1_tarski(X164,X165)
| m1_subset_1(X164,k1_zfmisc_1(X165)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_62,plain,
! [X96,X97] :
( ~ r2_hidden(X96,X97)
| ~ r2_hidden(X97,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).
fof(i_0_63,plain,
! [X159,X160] :
( ~ m1_subset_1(X159,X160)
| v1_xboole_0(X160)
| r2_hidden(X159,X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_64,plain,
! [X157,X158] :
( ~ r2_hidden(X157,X158)
| m1_subset_1(X157,X158) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_65,plain,
! [X139] :
( ( m1_subset_1(esk10_1(X139),k1_zfmisc_1(X139))
| v1_xboole_0(X139) )
& ( ~ v1_xboole_0(esk10_1(X139))
| v1_xboole_0(X139) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])])])]) ).
fof(i_0_66,plain,
! [X126,X127] : v1_relat_1(k2_zfmisc_1(X126,X127)),
inference(variable_rename,[status(thm)],[fc1_sysrel]) ).
fof(i_0_67,plain,
! [X173,X174] :
( ~ r2_hidden(X173,X174)
| ~ v1_xboole_0(X174) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_68,plain,
! [X142] :
( m1_subset_1(esk12_1(X142),k1_zfmisc_1(X142))
& v1_xboole_0(esk12_1(X142)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_69,plain,
! [X120] : m1_subset_1(esk6_1(X120),X120),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_70,plain,
! [X128] : ~ v1_xboole_0(k1_tarski(X128)),
inference(variable_rename,[status(thm)],[i_0_42]) ).
fof(i_0_71,plain,
! [X125] : ~ v1_xboole_0(k1_zfmisc_1(X125)),
inference(variable_rename,[status(thm)],[i_0_43]) ).
fof(i_0_72,plain,
! [X175,X176] :
( ~ v1_xboole_0(X175)
| X175 = X176
| ~ v1_xboole_0(X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_73,plain,
! [X152] : r1_tarski(X152,X152),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_74,plain,
! [X98] :
( ~ v1_xboole_0(X98)
| v1_relat_1(X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_75,plain,
! [X172] :
( ~ v1_xboole_0(X172)
| X172 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_76,plain,
( ~ v1_xboole_0(esk11_0)
& v1_relat_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_44])]) ).
fof(i_0_77,plain,
( v1_relat_1(esk13_0)
& v3_relat_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_78,plain,
( v1_xboole_0(esk9_0)
& v1_relat_1(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
cnf(i_0_79,plain,
( X1 = k2_relset_2(X2,X3,X4,esk8_5(X1,X2,X3,X5,X4))
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X5,X4))
| ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_80,plain,
( r2_hidden(esk8_5(X1,X2,X3,X4,X5),X4)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_81,plain,
( m1_subset_1(esk8_5(X1,X2,X3,X4,X5),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_0_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2))
| ~ m2_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_82,plain,
( r2_hidden(X3,a_4_0_relset_2(X2,X4,X6,X5))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| X3 != k2_relset_2(X2,X4,X5,X1)
| ~ r2_hidden(X1,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(X2))
| ~ m2_relset_1(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_83,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_84,plain,
( v1_xboole_0(X1)
| m1_subset_1(a_4_0_relset_2(X1,X4,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m2_relset_1(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_85,plain,
( m1_subset_1(k2_relset_2(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3)
| ~ m1_subset_1(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_86,plain,
( k2_relset_2(X2,X3,X1,X4) = k10_relset_1(X2,X3,X1,k1_tarski(X4))
| ~ m2_relset_1(X1,X2,X3)
| ~ m1_subset_1(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_87,plain,
( m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_88,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_89,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_90,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_91,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_92,plain,
( X1 = X2
| ~ r2_hidden(esk14_2(X1,X2),X1)
| ~ r2_hidden(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_93,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_94,plain,
( r2_hidden(esk14_2(X1,X2),X1)
| r2_hidden(esk14_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_95,plain,
m1_relset_1(esk5_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_96,plain,
m2_relset_1(esk7_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_97,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_98,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_99,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_100,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_101,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_102,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_103,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_104,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_105,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_106,plain,
( m1_subset_1(esk10_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_107,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_108,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_109,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_110,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_111,plain,
m1_subset_1(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_112,plain,
~ v1_xboole_0(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_113,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_114,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_115,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_116,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_117,plain,
( v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_118,plain,
v1_xboole_0(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_119,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_120,plain,
~ v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_121,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_122,plain,
v3_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_123,plain,
v3_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_124,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_125,plain,
v1_relat_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_126,plain,
v1_relat_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_127,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_128,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_129,plain,
v1_xboole_0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_130,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_131,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_132,axiom,
X1 = X1 ).
cnf(i_0_133,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_134,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_135,axiom,
( X1 != X2
| k2_relset_2(X1,X3,X4,X5) = k2_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| k2_relset_2(X3,X1,X4,X5) = k2_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_137,axiom,
( X1 != X2
| k2_relset_2(X3,X4,X1,X5) = k2_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_138,axiom,
( X1 != X2
| k2_relset_2(X3,X4,X5,X1) = k2_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_139,axiom,
( X1 != X2
| k10_relset_1(X1,X3,X4,X5) = k10_relset_1(X2,X3,X4,X5) ) ).
cnf(i_0_140,axiom,
( X1 != X2
| k10_relset_1(X3,X1,X4,X5) = k10_relset_1(X3,X2,X4,X5) ) ).
cnf(i_0_141,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X1,X5) = k10_relset_1(X3,X4,X2,X5) ) ).
cnf(i_0_142,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X5,X1) = k10_relset_1(X3,X4,X5,X2) ) ).
cnf(i_0_143,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_144,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_145,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_146,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_147,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_148,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_149,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_150,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_151,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_152,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_153,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_154,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_155,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_156,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_157,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_159,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_132_001,axiom,
X1 = X1 ).
cnf(i_0_133_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_134_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_135_004,axiom,
( X1 != X2
| k2_relset_2(X1,X3,X4,X5) = k2_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_136_005,axiom,
( X1 != X2
| k2_relset_2(X3,X1,X4,X5) = k2_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_137_006,axiom,
( X1 != X2
| k2_relset_2(X3,X4,X1,X5) = k2_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_138_007,axiom,
( X1 != X2
| k2_relset_2(X3,X4,X5,X1) = k2_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_139_008,axiom,
( X1 != X2
| k10_relset_1(X1,X3,X4,X5) = k10_relset_1(X2,X3,X4,X5) ) ).
cnf(i_0_140_009,axiom,
( X1 != X2
| k10_relset_1(X3,X1,X4,X5) = k10_relset_1(X3,X2,X4,X5) ) ).
cnf(i_0_141_010,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X1,X5) = k10_relset_1(X3,X4,X2,X5) ) ).
cnf(i_0_142_011,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X5,X1) = k10_relset_1(X3,X4,X5,X2) ) ).
cnf(i_0_143_012,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_144_013,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_145_014,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_146_015,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_147_016,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_148_017,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_149_018,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_150_019,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_151_020,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_152_021,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_153_022,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_154_023,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_155_024,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_156_025,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_157_026,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_158_027,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_159_028,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_160,plain,
( v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m2_relset_1(X4,X1,X5)
| ~ m1_subset_1(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r2_hidden(k2_relset_2(X1,X5,X4,X2),a_4_0_relset_2(X1,X5,X3,X4)) ),
inference(equality_inference,[],[82]) ).
cnf(i_0_161,plain,
$false,
inference(scs_inference,[],[i_0_121,i_0_83,i_0_115,i_0_100,i_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU424+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 03:13:10 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.28/1.62 % Version : CSE_E---1.7
% 0.28/1.62 % Problem : theBenchmark.p
% 0.28/1.62 % SZS status Theorem for theBenchmark.p
% 0.28/1.62 % SZS output start CNFRefutation
% See solution above
% 0.28/1.64 % Total time : 1.271s
%------------------------------------------------------------------------------