%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU446+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:25:13 PM UTC 2026
% Result : Theorem 21.26s 3.51s
% Output : CNFRefutation 21.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 100 ( 16 unt; 0 def)
% Number of atoms : 241 ( 69 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 248 ( 107 ~; 102 |; 17 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-5 aty)
% Number of variables : 233 ( 13 sgn 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_relset_2) ).
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(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(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
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(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(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(dt_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2)
& k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
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(t47_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X4] : k9_relat_1(X3,X4) = k9_relat_1(X3,k3_xboole_0(X4,k1_funct_5(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_relset_2) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X2)
& r2_hidden(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k2_funct_5(X1) = k2_relat_1(X1)
& k1_funct_5(X1) = k1_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(c_0_18,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
inference(assume_negation,[status(cth)],[t58_relset_2]) ).
fof(c_0_19,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0)
& m2_relset_1(esk3_0,esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_20,plain,
! [X100,X101,X102,X103] :
( k10_relset_1(X100,X101,X102,X103) = k9_relat_1(X102,X103)
| ~ m1_relset_1(X102,X100,X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])]) ).
fof(c_0_21,plain,
! [X118,X119,X120] :
( ( m2_relset_1(X120,X118,X119)
| ~ m1_relset_1(X120,X118,X119) )
& ( m1_relset_1(X120,X118,X119)
| ~ m2_relset_1(X120,X118,X119) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_22,plain,
! [X53,X54,X55,X56,X57] :
( m2_relset_1(k9_relset_2(X53,X54,X55,X56,X57),X53,X55)
| ~ m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(X54,X55)))
| ~ m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(X53,X54))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])])]) ).
cnf(c_0_23,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( ~ m1_relset_1(X1,X2,X3)
| k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X12,X13,X14] :
( v1_relat_1(X14)
| ~ m1_subset_1(X14,k1_zfmisc_1(k2_zfmisc_1(X12,X13))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_28,plain,
! [X58,X59,X60] :
( m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(X58,X59)))
| ~ m2_relset_1(X60,X58,X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
fof(c_0_29,plain,
! [X50,X51,X52] :
( m2_relset_1(k6_relset_1(X50,X51,X52),X51,X50)
| ~ m1_relset_1(X52,X50,X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])])]) ).
fof(c_0_30,plain,
! [X110,X111,X112] :
( k6_relset_1(X110,X111,X112) = k4_relat_1(X112)
| ~ m1_relset_1(X112,X110,X111) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])])]) ).
cnf(c_0_31,negated_conjecture,
( ~ m1_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0)
| k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| m1_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_33,plain,
! [X113,X114,X115,X116,X117] :
( k9_relset_2(X113,X114,X115,X116,X117) = k5_relat_1(X116,X117)
| ~ m1_subset_1(X117,k1_zfmisc_1(k2_zfmisc_1(X114,X115)))
| ~ m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X113,X114))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])])]) ).
cnf(c_0_34,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( ~ m1_relset_1(X1,X2,X3)
| k6_relset_1(X2,X3,X1) = k4_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_38,plain,
! [X42,X43,X44] :
( m1_subset_1(k4_relset_1(X42,X43,X44),k1_zfmisc_1(X42))
| ~ m1_relset_1(X44,X42,X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])])]) ).
fof(c_0_39,plain,
! [X104,X105,X106] :
( k4_relset_1(X104,X105,X106) = k1_relat_1(X106)
| ~ m1_relset_1(X106,X104,X105) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).
cnf(c_0_40,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( ~ m2_relset_1(X1,X2,X3)
| v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
( ~ m1_relset_1(X1,X3,X2)
| m2_relset_1(k4_relat_1(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_45,plain,
! [X149,X150,X151] :
( ( ~ m2_relset_1(X151,X150,X149)
| k2_funct_5(X151) = k10_relset_1(X150,X149,X151,X150) )
& ( ~ m2_relset_1(X151,X150,X149)
| k1_funct_5(X151) = k10_relset_1(X149,X150,k6_relset_1(X150,X149,X151),X149) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])])]) ).
cnf(c_0_46,plain,
( ~ m1_relset_1(X1,X2,X3)
| m1_subset_1(k4_relset_1(X2,X3,X1),k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( ~ m1_relset_1(X1,X2,X3)
| k4_relset_1(X2,X3,X1) = k1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| k9_relat_1(k5_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
m1_relset_1(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
fof(c_0_50,plain,
! [X128,X129,X130] :
( k9_relat_1(k5_relat_1(X129,X130),X128) = k9_relat_1(X130,k9_relat_1(X129,X128))
| ~ v1_relat_1(X130)
| ~ v1_relat_1(X129) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])])]) ).
cnf(c_0_51,plain,
( ~ m1_relset_1(X1,X2,X3)
| v1_relat_1(k4_relat_1(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
( ~ m2_relset_1(X1,X3,X2)
| k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( ~ m1_relset_1(X3,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
fof(c_0_54,plain,
! [X140,X141] :
( ( m1_subset_1(X140,k1_zfmisc_1(X141))
| ~ r1_tarski(X140,X141) )
& ( r1_tarski(X140,X141)
| ~ m1_subset_1(X140,k1_zfmisc_1(X141)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_55,plain,
( ~ m1_relset_1(X1,X2,X3)
| m1_subset_1(k1_relat_1(X1),k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| k9_relat_1(k5_relat_1(k4_relat_1(esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_37]),c_0_49])]) ).
cnf(c_0_57,plain,
( ~ v1_relat_1(X2)
| ~ v1_relat_1(X1)
| k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_42]) ).
cnf(c_0_59,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_60,plain,
( ~ m2_relset_1(X3,X1,X2)
| ~ m1_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| k9_relat_1(k6_relset_1(X1,X2,X3),X2) = k1_funct_5(X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_52]) ).
cnf(c_0_61,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_62,plain,
( ~ m1_relset_1(X1,X3,X2)
| m1_relset_1(k4_relat_1(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_37]) ).
fof(c_0_63,plain,
! [X142,X143,X144,X145] :
( k9_relat_1(X144,X145) = k9_relat_1(X144,k3_xboole_0(X145,k1_funct_5(X144)))
| ~ m1_subset_1(X144,k1_zfmisc_1(k2_zfmisc_1(X142,X143))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_relset_2])])])]) ).
fof(c_0_64,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( X35 = k3_xboole_0(X33,X34)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| r2_hidden(esk5_3(X33,X34,X35),X34) )
& ( X35 = k3_xboole_0(X33,X34)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| r2_hidden(esk5_3(X33,X34,X35),X33) )
& ( X35 = k3_xboole_0(X33,X34)
| ~ r2_hidden(esk5_3(X33,X34,X35),X34)
| ~ r2_hidden(esk5_3(X33,X34,X35),X33)
| ~ r2_hidden(esk5_3(X33,X34,X35),X35) )
& ( X30 != k3_xboole_0(X28,X29)
| r2_hidden(X32,X30)
| ~ r2_hidden(X32,X29)
| ~ r2_hidden(X32,X28) )
& ( X30 != k3_xboole_0(X28,X29)
| ~ r2_hidden(X31,X30)
| r2_hidden(X31,X29) )
& ( X30 != k3_xboole_0(X28,X29)
| ~ r2_hidden(X31,X30)
| r2_hidden(X31,X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])])]) ).
fof(c_0_65,plain,
! [X22,X23,X24,X25,X26] :
( ( r1_tarski(X25,X26)
| ~ r2_hidden(esk4_2(X25,X26),X26) )
& ( r1_tarski(X25,X26)
| r2_hidden(esk4_2(X25,X26),X25) )
& ( r2_hidden(X24,X23)
| ~ r2_hidden(X24,X22)
| ~ r1_tarski(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
cnf(c_0_66,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,negated_conjecture,
m1_subset_1(k1_relat_1(esk3_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_68,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k4_relat_1(esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0)))
| k9_relat_1(esk3_0,k9_relat_1(k4_relat_1(esk3_0),esk2_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_69,plain,
( ~ m1_relset_1(X1,X3,X2)
| k9_relat_1(k4_relat_1(X1),X2) = k1_funct_5(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_37]),c_0_61]),c_0_62]) ).
cnf(c_0_70,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| k9_relat_1(X1,X4) = k9_relat_1(X1,k3_xboole_0(X4,k1_funct_5(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,plain,
( X3 = k3_xboole_0(X1,X2)
| r2_hidden(esk5_3(X1,X2,X3),X3)
| r2_hidden(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,plain,
( ~ r2_hidden(X3,X1)
| ~ r1_tarski(X1,X2)
| r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,negated_conjecture,
r1_tarski(k1_relat_1(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( ~ m2_relset_1(k4_relat_1(esk3_0),esk2_0,esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k9_relat_1(esk3_0,k9_relat_1(k4_relat_1(esk3_0),esk2_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_35]) ).
cnf(c_0_75,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),esk2_0) = k1_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_69,c_0_49]) ).
cnf(c_0_76,plain,
( ~ m2_relset_1(X1,X3,X4)
| k9_relat_1(X1,k3_xboole_0(X2,k1_funct_5(X1))) = k9_relat_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_35]) ).
fof(c_0_77,plain,
! [X136] :
( ( ~ v1_relat_1(X136)
| k2_funct_5(X136) = k2_relat_1(X136) )
& ( ~ v1_relat_1(X136)
| k1_funct_5(X136) = k1_relat_1(X136) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])])]) ).
cnf(c_0_78,plain,
( ~ r2_hidden(esk5_3(X1,X2,X3),X2)
| ~ r2_hidden(esk5_3(X1,X2,X3),X1)
| ~ r2_hidden(esk5_3(X1,X2,X3),X3)
| X3 = k3_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_79,plain,
( r2_hidden(esk5_3(X1,X2,X2),X2)
| k3_xboole_0(X1,X2) = X2 ),
inference(ef,[status(thm)],[c_0_71]) ).
cnf(c_0_80,negated_conjecture,
( ~ r2_hidden(X1,k1_relat_1(esk3_0))
| r2_hidden(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( ~ m2_relset_1(k4_relat_1(esk3_0),esk2_0,esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k9_relat_1(esk3_0,k1_funct_5(esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(rw,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
k9_relat_1(esk3_0,k3_xboole_0(X1,k1_funct_5(esk3_0))) = k9_relat_1(esk3_0,X1),
inference(spm,[status(thm)],[c_0_76,c_0_42]) ).
cnf(c_0_83,plain,
( ~ v1_relat_1(X1)
| k1_funct_5(X1) = k1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
( ~ r2_hidden(esk5_3(X1,X2,X2),X1)
| k3_xboole_0(X1,X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79]) ).
cnf(c_0_85,negated_conjecture,
( r2_hidden(esk5_3(X1,k1_relat_1(esk3_0),k1_relat_1(esk3_0)),esk1_0)
| k3_xboole_0(X1,k1_relat_1(esk3_0)) = k1_relat_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k9_relat_1(esk3_0,k1_funct_5(esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_44]),c_0_49])]) ).
cnf(c_0_87,negated_conjecture,
k9_relat_1(esk3_0,k3_xboole_0(X1,k1_relat_1(esk3_0))) = k9_relat_1(esk3_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_58])]) ).
cnf(c_0_88,negated_conjecture,
k3_xboole_0(esk1_0,k1_relat_1(esk3_0)) = k1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,plain,
( ~ m2_relset_1(X1,X2,X3)
| k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_90,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k9_relat_1(esk3_0,k1_relat_1(esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_58])]) ).
cnf(c_0_91,negated_conjecture,
k9_relat_1(esk3_0,k1_relat_1(esk3_0)) = k9_relat_1(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
( ~ m1_relset_1(X1,X2,X3)
| k2_funct_5(X1) = k9_relat_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_89]),c_0_61]) ).
cnf(c_0_93,negated_conjecture,
( ~ m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k9_relat_1(esk3_0,esk1_0) ),
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( ~ v1_relat_1(X1)
| k2_funct_5(X1) = k2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_95,negated_conjecture,
k2_funct_5(esk3_0) = k9_relat_1(esk3_0,esk1_0),
inference(spm,[status(thm)],[c_0_92,c_0_49]) ).
cnf(c_0_96,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k9_relat_1(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_35]),c_0_42])]) ).
cnf(c_0_97,plain,
( ~ m2_relset_1(X3,X1,X2)
| k10_relset_1(X1,X2,X3,X1) = k2_relat_1(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_89]),c_0_43]) ).
cnf(c_0_98,negated_conjecture,
k2_relat_1(esk3_0) = k9_relat_1(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_58])]) ).
cnf(c_0_99,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU446+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.04/0.35 % CPULimit : 300
% 0.04/0.35 % WCLimit : 300
% 0.04/0.35 % DateTime : Mon Sep 21 06:36:48 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.26/3.51 % Version: 3.5.1
% 21.26/3.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 21.26/3.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.26/3.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 21.26/3.51 % Starting new_bool_3 with 300s (1) cores
% 21.26/3.51 % Starting new_bool_1 with 300s (1) cores
% 21.26/3.51 % Starting sh5l with 300s (1) cores
% 21.26/3.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2662913 completed with status 0
% 21.26/3.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 21.26/3.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 21.26/3.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.26/3.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 21.26/3.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.26/3.51 % No SInE strategy applied
% 21.26/3.51 % Search class: FGHSM-FFMM32-MFFFFFNN
% 21.26/3.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.26/3.51 % Starting SubtermCWHack with 136s (1) cores
% 21.26/3.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 21.26/3.51 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 21.26/3.51 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 21.26/3.51 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 21.26/3.51 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with pid 2662923 completed with status 0
% 21.26/3.51 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN
% 21.26/3.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 21.26/3.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.26/3.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 21.26/3.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.26/3.51 % No SInE strategy applied
% 21.26/3.51 % Search class: FGHSM-FFMM32-MFFFFFNN
% 21.26/3.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 21.26/3.51 % Starting SubtermCWHack with 136s (1) cores
% 21.26/3.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 21.26/3.51 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 21.26/3.51 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 21.26/3.51 % Preprocessing time : 0.015 s
% 21.26/3.51
% 21.26/3.51 % Proof found!
% 21.26/3.51 % SZS status Theorem
% 21.26/3.51 % SZS output start CNFRefutation
% See solution above
% 21.26/3.51 % Parsed axioms : 76
% 21.26/3.51 % Removed by relevancy pruning/SinE : 0
% 21.26/3.51 % Initial clauses : 103
% 21.26/3.51 % Removed in clause preprocessing : 11
% 21.26/3.51 % Initial clauses in saturation : 92
% 21.26/3.51 % Processed clauses : 7528
% 21.26/3.51 % ...of these trivial : 119
% 21.26/3.51 % ...subsumed : 4912
% 21.26/3.51 % ...remaining for further processing : 2497
% 21.26/3.51 % Other redundant clauses eliminated : 17
% 21.26/3.51 % Clauses deleted for lack of memory : 0
% 21.26/3.51 % Backward-subsumed : 421
% 21.26/3.51 % Backward-rewritten : 180
% 21.26/3.51 % Generated clauses : 108229
% 21.26/3.51 % ...of the previous two non-redundant : 101865
% 21.26/3.51 % ...aggressively subsumed : 0
% 21.26/3.51 % Contextual simplify-reflections : 245
% 21.26/3.51 % Paramodulations : 108133
% 21.26/3.51 % Factorizations : 64
% 21.26/3.51 % NegExts : 0
% 21.26/3.51 % Equation resolutions : 29
% 21.26/3.51 % Disequality decompositions : 0
% 21.26/3.51 % Total rewrite steps : 32076
% 21.26/3.51 % ...of those cached : 30343
% 21.26/3.51 % Propositional unsat checks : 0
% 21.26/3.51 % Propositional check models : 0
% 21.26/3.51 % Propositional check unsatisfiable : 0
% 21.26/3.51 % Propositional clauses : 0
% 21.26/3.51 % Propositional clauses after purity: 0
% 21.26/3.51 % Propositional unsat core size : 0
% 21.26/3.51 % Propositional preprocessing time : 0.000
% 21.26/3.51 % Propositional encoding time : 0.000
% 21.26/3.51 % Propositional solver time : 0.000
% 21.26/3.51 % Success case prop preproc time : 0.000
% 21.26/3.51 % Success case prop encoding time : 0.000
% 21.26/3.51 % Success case prop solver time : 0.000
% 21.26/3.51 % Current number of processed clauses : 1891
% 21.26/3.51 % Positive orientable unit clauses : 212
% 21.26/3.51 % Positive unorientable unit clauses: 3
% 21.26/3.51 % Negative unit clauses : 32
% 21.26/3.51 % Non-unit-clauses : 1644
% 21.26/3.51 % Current number of unprocessed clauses: 92887
% 21.26/3.51 % ...number of literals in the above : 372197
% 21.26/3.51 % Current number of archived formulas : 0
% 21.26/3.51 % Current number of archived clauses : 604
% 21.26/3.51 % Clause-clause subsumption calls (NU) : 619245
% 21.26/3.51 % Rec. Clause-clause subsumption calls : 278360
% 21.26/3.51 % Non-unit clause-clause subsumptions : 3938
% 21.26/3.51 % Unit Clause-clause subsumption calls : 9709
% 21.26/3.51 % Rewrite failures with RHS unbound : 0
% 21.26/3.51 % BW rewrite match attempts : 390
% 21.26/3.51 % BW rewrite match successes : 100
% 21.26/3.51 % Condensation attempts : 0
% 21.26/3.51 % Condensation successes : 0
% 21.26/3.51 % Termbank termtop insertions : 1732884
% 21.26/3.51 % Search garbage collected termcells : 1050
% 21.26/3.51
% 21.26/3.51 % -------------------------------------------------
% 21.26/3.51 % User time : 2.921 s
% 21.26/3.51 % System time : 0.093 s
% 21.26/3.51 % Total time : 3.014 s
% 21.26/3.51 % Maximum resident set size: 3960 pages
% 21.26/3.51
% 21.26/3.51 % -------------------------------------------------
% 21.26/3.51 % User time : 14.439 s
% 21.26/3.51 % System time : 0.528 s
% 21.26/3.51 % Total time : 14.968 s
% 21.26/3.51 % Maximum resident set size: 4864 pages
% 21.26/3.51 % E exiting
%------------------------------------------------------------------------------