%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU447+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 02:25:14 PM UTC 2026
% Result : Theorem 6.62s 1.34s
% Output : CNFRefutation 6.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 8 unt; 0 def)
% Number of atoms : 175 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 199 ( 92 ~; 78 |; 7 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 183 ( 10 sgn 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t59_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_relset_2) ).
fof(t50_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> k3_subset_1(X2,k10_relset_1(X1,X2,X4,X3)) = k8_relset_2(X1,X2,X3,k3_subset_1(k2_zfmisc_1(X1,X2),X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_relset_2) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> m1_subset_1(k3_subset_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_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/sandbox/benchmark/theBenchmark.p',dt_m2_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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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/sandbox/benchmark/theBenchmark.p',t159_relat_1) ).
fof(t49_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> k3_subset_1(X2,k8_relset_2(X1,X2,X3,X4)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X4),X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_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/sandbox/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> k3_subset_1(X1,k3_subset_1(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m1_subset_1(X4,k1_zfmisc_1(X1))
=> ! [X5] :
( m2_relset_1(X5,X1,X2)
=> ! [X6] :
( m2_relset_1(X6,X2,X3)
=> k8_relset_2(X2,X3,k10_relset_1(X1,X2,X5,X4),X6) = k8_relset_2(X1,X3,X4,k3_subset_1(k2_zfmisc_1(X1,X3),k9_relset_2(X1,X2,X3,X5,k3_subset_1(k2_zfmisc_1(X2,X3),X6)))) ) ) ),
inference(assume_negation,[status(cth)],[t59_relset_2]) ).
fof(c_0_15,negated_conjecture,
( k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0))))
& m2_relset_1(esk6_0,esk2_0,esk3_0)
& m2_relset_1(esk5_0,esk1_0,esk2_0)
& m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_16,plain,
! [X128,X129,X130,X131] :
( k3_subset_1(X129,k10_relset_1(X128,X129,X131,X130)) = k8_relset_2(X128,X129,X130,k3_subset_1(k2_zfmisc_1(X128,X129),X131))
| ~ m2_relset_1(X131,X128,X129)
| ~ m1_subset_1(X130,k1_zfmisc_1(X128)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t50_relset_2])])])]) ).
cnf(c_0_17,negated_conjecture,
k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk1_0,esk3_0,esk4_0,k3_subset_1(k2_zfmisc_1(esk1_0,esk3_0),k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
( ~ m2_relset_1(X3,X2,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k3_subset_1(X4,k10_relset_1(X2,X4,X3,X1)) = k8_relset_2(X2,X4,X1,k3_subset_1(k2_zfmisc_1(X2,X4),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X103,X104,X105,X106,X107] :
( k9_relset_2(X103,X104,X105,X106,X107) = k5_relat_1(X106,X107)
| ~ m1_subset_1(X107,k1_zfmisc_1(k2_zfmisc_1(X104,X105)))
| ~ m1_subset_1(X106,k1_zfmisc_1(k2_zfmisc_1(X103,X104))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])])]) ).
fof(c_0_21,plain,
! [X16,X17,X18] :
( v1_relat_1(X18)
| ~ m1_subset_1(X18,k1_zfmisc_1(k2_zfmisc_1(X16,X17))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
fof(c_0_22,plain,
! [X28,X29] :
( m1_subset_1(k3_subset_1(X28,X29),k1_zfmisc_1(X28))
| ~ m1_subset_1(X29,k1_zfmisc_1(X28)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])])]) ).
fof(c_0_23,plain,
! [X54,X55,X56] :
( m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(X54,X55)))
| ~ m2_relset_1(X56,X54,X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_24,negated_conjecture,
( ~ m2_relset_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k3_subset_1(esk3_0,k10_relset_1(esk1_0,esk3_0,k9_relset_2(esk1_0,esk2_0,esk3_0,esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_25,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_20]) ).
fof(c_0_26,plain,
! [X88,X89,X90,X91] :
( k10_relset_1(X88,X89,X90,X91) = k9_relat_1(X90,X91)
| ~ m1_relset_1(X90,X88,X89) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])]) ).
fof(c_0_27,plain,
! [X108,X109,X110] :
( ( m2_relset_1(X110,X108,X109)
| ~ m1_relset_1(X110,X108,X109) )
& ( m1_relset_1(X110,X108,X109)
| ~ m2_relset_1(X110,X108,X109) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_28,plain,
! [X112,X113,X114] :
( k9_relat_1(k5_relat_1(X113,X114),X112) = k9_relat_1(X114,k9_relat_1(X113,X112))
| ~ v1_relat_1(X114)
| ~ v1_relat_1(X113) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])])]) ).
fof(c_0_29,plain,
! [X121,X122,X123,X124] :
( k3_subset_1(X122,k8_relset_2(X121,X122,X123,X124)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X121,X122),X124),X123)
| ~ m1_subset_1(X124,k1_zfmisc_1(k2_zfmisc_1(X121,X122)))
| ~ m1_subset_1(X123,k1_zfmisc_1(X121)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t49_relset_2])])])]) ).
cnf(c_0_30,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(k3_subset_1(X2,X1),k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,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_23]) ).
cnf(c_0_33,negated_conjecture,
( ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k3_subset_1(esk3_0,k10_relset_1(esk1_0,esk3_0,k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,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_26]) ).
cnf(c_0_35,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,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_28]) ).
cnf(c_0_37,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k3_subset_1(X4,k8_relset_2(X2,X4,X1,X3)) = k9_relat_1(k3_subset_1(k2_zfmisc_1(X2,X4),X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_relat_1(k3_subset_1(k2_zfmisc_1(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( ~ m2_relset_1(X1,X2,X3)
| v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
m2_relset_1(esk5_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_41,plain,
! [X23,X24,X25,X26] :
( m1_subset_1(k10_relset_1(X23,X24,X25,X26),k1_zfmisc_1(X24))
| ~ m1_relset_1(X25,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])])]) ).
cnf(c_0_42,negated_conjecture,
( ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_subset_1(k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k3_subset_1(esk3_0,k9_relat_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk4_0)) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_43,plain,
( ~ m1_subset_1(k9_relat_1(X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ v1_relat_1(X3)
| k3_subset_1(X1,k8_relset_2(X2,X1,k9_relat_1(X3,X4),X5)) = k9_relat_1(k5_relat_1(X3,k3_subset_1(k2_zfmisc_1(X2,X1),X5)),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_44,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_45,plain,
! [X76,X77] :
( k3_subset_1(X76,k3_subset_1(X76,X77)) = X77
| ~ m1_subset_1(X77,k1_zfmisc_1(X76)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])])]) ).
fof(c_0_46,plain,
! [X41,X42,X43,X44] :
( m1_subset_1(k8_relset_2(X41,X42,X43,X44),k1_zfmisc_1(X42))
| ~ m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(X41,X42)))
| ~ m1_subset_1(X43,k1_zfmisc_1(X41)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])])]) ).
cnf(c_0_47,plain,
( ~ m1_relset_1(X1,X2,X3)
| m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k3_subset_1(esk3_0,k3_subset_1(esk3_0,k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0))) != k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_31]) ).
cnf(c_0_49,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k3_subset_1(X2,k3_subset_1(X2,X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
( ~ m1_relset_1(X1,X4,X3)
| m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_52,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_53,plain,
! [X47,X48,X49,X50,X51] :
( m2_relset_1(k9_relset_2(X47,X48,X49,X50,X51),X47,X49)
| ~ m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(X48,X49)))
| ~ m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(X47,X48))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])])]) ).
cnf(c_0_54,negated_conjecture,
( ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_55,plain,
( ~ m2_relset_1(X1,X4,X3)
| m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,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_53]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_subset_1(k9_relat_1(esk5_0,esk4_0),k1_zfmisc_1(esk2_0))
| ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
m1_subset_1(k9_relat_1(esk5_0,X1),k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
cnf(c_0_59,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
| m2_relset_1(k5_relat_1(X1,X2),X3,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_25]) ).
cnf(c_0_60,negated_conjecture,
( ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m2_relset_1(k5_relat_1(esk5_0,k3_subset_1(k2_zfmisc_1(esk2_0,esk3_0),esk6_0)),esk1_0,esk3_0)
| k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_61,plain,
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X5,X2)))
| m2_relset_1(k5_relat_1(X1,k3_subset_1(k2_zfmisc_1(X2,X3),X4)),X5,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_62,negated_conjecture,
( ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| k8_relset_2(esk2_0,esk3_0,k10_relset_1(esk1_0,esk2_0,esk5_0,esk4_0),esk6_0) != k8_relset_2(esk2_0,esk3_0,k9_relat_1(esk5_0,esk4_0),esk6_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_63,negated_conjecture,
( ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
| ~ m1_relset_1(esk5_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_34]) ).
cnf(c_0_64,negated_conjecture,
( ~ m1_subset_1(esk6_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_40])]) ).
cnf(c_0_65,negated_conjecture,
m2_relset_1(esk6_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_66,negated_conjecture,
~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_32]),c_0_65])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU447+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 06:35:44 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 6.62/1.34 % Version: 3.5.1
% 6.62/1.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.62/1.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.62/1.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.62/1.34 % Starting new_bool_3 with 300s (1) cores
% 6.62/1.34 % Starting new_bool_1 with 300s (1) cores
% 6.62/1.34 % Starting sh5l with 300s (1) cores
% 6.62/1.34 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1229739 completed with status 0
% 6.62/1.34 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.62/1.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.62/1.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.62/1.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.62/1.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.62/1.34 % No SInE strategy applied
% 6.62/1.34 % Search class: FGHSM-FFMM32-MFFFFFNN
% 6.62/1.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.62/1.34 % Starting SubtermCWHack with 136s (1) cores
% 6.62/1.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.62/1.34 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 6.62/1.34 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 6.62/1.34 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 6.62/1.34 % G-E--_300_C18_F1_URBAN_S0Y with pid 1229747 completed with status 0
% 6.62/1.34 % Result found by G-E--_300_C18_F1_URBAN_S0Y
% 6.62/1.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.62/1.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.62/1.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.62/1.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.62/1.34 % No SInE strategy applied
% 6.62/1.34 % Search class: FGHSM-FFMM32-MFFFFFNN
% 6.62/1.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.62/1.34 % Starting SubtermCWHack with 136s (1) cores
% 6.62/1.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.62/1.34 % Starting G-E--_300_C18_F1_URBAN_S0Y with 369s (1) cores
% 6.62/1.34 % Preprocessing time : 0.027 s
% 6.62/1.34
% 6.62/1.34 % Proof found!
% 6.62/1.34 % SZS status Theorem
% 6.62/1.34 % SZS output start CNFRefutation
% See solution above
% 6.62/1.34 % Parsed axioms : 60
% 6.62/1.34 % Removed by relevancy pruning/SinE : 0
% 6.62/1.34 % Initial clauses : 80
% 6.62/1.34 % Removed in clause preprocessing : 7
% 6.62/1.34 % Initial clauses in saturation : 73
% 6.62/1.34 % Processed clauses : 1131
% 6.62/1.34 % ...of these trivial : 10
% 6.62/1.34 % ...subsumed : 458
% 6.62/1.34 % ...remaining for further processing : 663
% 6.62/1.34 % Other redundant clauses eliminated : 0
% 6.62/1.34 % Clauses deleted for lack of memory : 0
% 6.62/1.34 % Backward-subsumed : 140
% 6.62/1.34 % Backward-rewritten : 20
% 6.62/1.34 % Generated clauses : 18392
% 6.62/1.34 % ...of the previous two non-redundant : 17874
% 6.62/1.34 % ...aggressively subsumed : 0
% 6.62/1.34 % Contextual simplify-reflections : 114
% 6.62/1.34 % Paramodulations : 18392
% 6.62/1.34 % Factorizations : 0
% 6.62/1.34 % NegExts : 0
% 6.62/1.34 % Equation resolutions : 0
% 6.62/1.34 % Disequality decompositions : 0
% 6.62/1.34 % Total rewrite steps : 3296
% 6.62/1.34 % ...of those cached : 2925
% 6.62/1.34 % Propositional unsat checks : 0
% 6.62/1.34 % Propositional check models : 0
% 6.62/1.34 % Propositional check unsatisfiable : 0
% 6.62/1.34 % Propositional clauses : 0
% 6.62/1.34 % Propositional clauses after purity: 0
% 6.62/1.34 % Propositional unsat core size : 0
% 6.62/1.34 % Propositional preprocessing time : 0.000
% 6.62/1.34 % Propositional encoding time : 0.000
% 6.62/1.34 % Propositional solver time : 0.000
% 6.62/1.34 % Success case prop preproc time : 0.000
% 6.62/1.34 % Success case prop encoding time : 0.000
% 6.62/1.34 % Success case prop solver time : 0.000
% 6.62/1.34 % Current number of processed clauses : 503
% 6.62/1.34 % Positive orientable unit clauses : 110
% 6.62/1.34 % Positive unorientable unit clauses: 0
% 6.62/1.34 % Negative unit clauses : 5
% 6.62/1.34 % Non-unit-clauses : 388
% 6.62/1.34 % Current number of unprocessed clauses: 16646
% 6.62/1.34 % ...number of literals in the above : 121099
% 6.62/1.34 % Current number of archived formulas : 0
% 6.62/1.34 % Current number of archived clauses : 160
% 6.62/1.34 % Clause-clause subsumption calls (NU) : 76915
% 6.62/1.34 % Rec. Clause-clause subsumption calls : 16511
% 6.62/1.34 % Non-unit clause-clause subsumptions : 674
% 6.62/1.34 % Unit Clause-clause subsumption calls : 6300
% 6.62/1.34 % Rewrite failures with RHS unbound : 0
% 6.62/1.34 % BW rewrite match attempts : 84
% 6.62/1.34 % BW rewrite match successes : 12
% 6.62/1.34 % Condensation attempts : 0
% 6.62/1.34 % Condensation successes : 0
% 6.62/1.34 % Termbank termtop insertions : 636163
% 6.62/1.34 % Search garbage collected termcells : 765
% 6.62/1.34
% 6.62/1.34 % -------------------------------------------------
% 6.62/1.34 % User time : 0.823 s
% 6.62/1.34 % System time : 0.038 s
% 6.62/1.34 % Total time : 0.861 s
% 6.62/1.34 % Maximum resident set size: 3696 pages
% 6.62/1.34
% 6.62/1.34 % -------------------------------------------------
% 6.62/1.34 % User time : 3.963 s
% 6.62/1.34 % System time : 0.181 s
% 6.62/1.34 % Total time : 4.144 s
% 6.62/1.34 % Maximum resident set size: 4864 pages
% 6.62/1.34 % E exiting
%------------------------------------------------------------------------------