%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU425+3 : 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 : n014.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 02:25:06 PM UTC 2026
% Result : Theorem 18.85s 4.87s
% Output : CNFRefutation 18.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 20 unt; 0 def)
% Number of atoms : 189 ( 15 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 202 ( 81 ~; 77 |; 22 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 117 ( 8 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t21_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& v1_funct_1(k5_relset_2(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relset_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(d1_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
<=> r1_tarski(X3,k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',d1_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/Axioms/SET007/SET007+16.ax',redefinition_m2_relset_1) ).
fof(t12_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( r1_tarski(k2_relat_1(X3),X2)
& r1_tarski(k1_relat_1(X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t12_relset_1) ).
fof(t3_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X1,X2)
=> v1_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t3_relat_1) ).
fof(t6_relat_1,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+10.ax',t6_relat_1) ).
fof(t9_relset_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> m2_relset_1(X2,X1,k2_relat_1(X2)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t9_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/sandbox/benchmark/Axioms/SET007/SET007+16.ax',dt_m2_relset_1) ).
fof(t20_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k2_relat_1(k5_relset_2(X1,X3)),k1_zfmisc_1(k2_relat_1(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relset_2) ).
fof(t10_relset_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k2_relat_1(X2),X1)
=> m2_relset_1(X2,k1_relat_1(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+16.ax',t10_relset_1) ).
fof(dt_k5_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( v1_funct_1(k5_relset_2(X1,X2))
& v1_relat_1(k5_relset_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(d3_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_relat_1(X3) )
=> ( X3 = k5_relset_2(X1,X2)
<=> ( ! [X4] :
( r1_tarski(X4,X1)
=> k1_funct_1(X3,X4) = k9_relat_1(X2,X4) )
& k1_relat_1(X3) = k1_zfmisc_1(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_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/Axioms/SET007/SET007+16.ax',cc1_relset_1) ).
fof(t4_funct_2,axiom,
! [X1,X2] :
( ( v1_funct_1(X2)
& v1_relat_1(X2) )
=> ( r1_tarski(k2_relat_1(X2),X1)
=> ( m2_relset_1(X2,k1_relat_1(X2),X1)
& v1_funct_2(X2,k1_relat_1(X2),X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+20.ax',t4_funct_2) ).
fof(c_0_15,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& v1_funct_1(k5_relset_2(X1,X3)) ) ),
inference(assume_negation,[status(cth)],[t21_relset_2]) ).
fof(c_0_16,plain,
! [X314,X315] :
( ( m1_subset_1(X314,k1_zfmisc_1(X315))
| ~ r1_tarski(X314,X315) )
& ( r1_tarski(X314,X315)
| ~ m1_subset_1(X314,k1_zfmisc_1(X315)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
fof(c_0_17,negated_conjecture,
( ( ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) )
& m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(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_15])])])]) ).
fof(c_0_18,plain,
! [X1157,X1158,X1159] :
( ( m1_relset_1(X1159,X1157,X1158)
| ~ r1_tarski(X1159,k2_zfmisc_1(X1157,X1158)) )
& ( r1_tarski(X1159,k2_zfmisc_1(X1157,X1158))
| ~ m1_relset_1(X1159,X1157,X1158) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])])]) ).
cnf(c_0_19,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X1163,X1164,X1165] :
( ( m2_relset_1(X1165,X1163,X1164)
| ~ m1_relset_1(X1165,X1163,X1164) )
& ( m1_relset_1(X1165,X1163,X1164)
| ~ m2_relset_1(X1165,X1163,X1164) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_22,plain,
( ~ r1_tarski(X1,k2_zfmisc_1(X2,X3))
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
r1_tarski(esk3_0,k2_zfmisc_1(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X140,X141,X142] :
( ( ~ m2_relset_1(X142,X140,X141)
| r1_tarski(k2_relat_1(X142),X141) )
& ( ~ m2_relset_1(X142,X140,X141)
| r1_tarski(k1_relat_1(X142),X140) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])])]) ).
cnf(c_0_25,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
m1_relset_1(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_27,plain,
! [X316,X317] :
( v1_relat_1(X316)
| ~ r1_tarski(X316,X317)
| ~ v1_relat_1(X317) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])])]) ).
fof(c_0_28,plain,
! [X262,X263] : v1_relat_1(k2_zfmisc_1(X262,X263)),
inference(variable_rename,[status(thm)],[t6_relat_1]) ).
fof(c_0_29,plain,
! [X133,X134] :
( m2_relset_1(X134,X133,k2_relat_1(X134))
| ~ r1_tarski(k1_relat_1(X134),X133)
| ~ v1_relat_1(X134) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_relset_1])])]) ).
cnf(c_0_30,plain,
( ~ m2_relset_1(X1,X2,X3)
| r1_tarski(k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,plain,
( ~ r1_tarski(X2,X1)
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X267,X268,X269] :
( m1_subset_1(X269,k1_zfmisc_1(k2_zfmisc_1(X267,X268)))
| ~ m2_relset_1(X269,X267,X268) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_35,plain,
( ~ r1_tarski(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1)
| m2_relset_1(X1,X2,k2_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
r1_tarski(k1_relat_1(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
v1_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_23]),c_0_33])]) ).
fof(c_0_38,plain,
! [X223,X224,X225] :
( r1_tarski(k2_relat_1(k5_relset_2(X223,X225)),k1_zfmisc_1(k2_relat_1(X225)))
| ~ m1_subset_1(X225,k1_zfmisc_1(k2_zfmisc_1(X223,X224))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relset_2])])]) ).
cnf(c_0_39,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_34]) ).
cnf(c_0_40,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,k2_relat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
fof(c_0_41,plain,
! [X135,X136] :
( m2_relset_1(X136,k1_relat_1(X136),X135)
| ~ r1_tarski(k2_relat_1(X136),X135)
| ~ v1_relat_1(X136) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t10_relset_1])])]) ).
cnf(c_0_42,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| r1_tarski(k2_relat_1(k5_relset_2(X2,X1)),k1_zfmisc_1(k2_relat_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,k2_relat_1(esk3_0)))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
( ~ r1_tarski(k2_relat_1(X1),X2)
| ~ v1_relat_1(X1)
| m2_relset_1(X1,k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
r1_tarski(k2_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_46,plain,
! [X212,X213] :
( ( ~ v1_relat_1(X213)
| v1_funct_1(k5_relset_2(X212,X213)) )
& ( ~ v1_relat_1(X213)
| v1_relat_1(k5_relset_2(X212,X213)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_2])])])]) ).
fof(c_0_47,plain,
! [X214,X215,X216,X217] :
( ( ~ v1_relat_1(X215)
| ~ v1_funct_1(X216)
| ~ v1_relat_1(X216)
| X216 = k5_relset_2(X214,X215)
| k1_relat_1(X216) != k1_zfmisc_1(X214)
| k1_funct_1(X216,esk24_3(X214,X215,X216)) != k9_relat_1(X215,esk24_3(X214,X215,X216)) )
& ( ~ v1_relat_1(X215)
| ~ v1_funct_1(X216)
| ~ v1_relat_1(X216)
| X216 = k5_relset_2(X214,X215)
| k1_relat_1(X216) != k1_zfmisc_1(X214)
| r1_tarski(esk24_3(X214,X215,X216),X214) )
& ( ~ v1_relat_1(X215)
| ~ v1_funct_1(X216)
| ~ v1_relat_1(X216)
| X216 != k5_relset_2(X214,X215)
| k1_funct_1(X216,X217) = k9_relat_1(X215,X217)
| ~ r1_tarski(X217,X214) )
& ( ~ v1_relat_1(X215)
| ~ v1_funct_1(X216)
| ~ v1_relat_1(X216)
| X216 != k5_relset_2(X214,X215)
| k1_relat_1(X216) = k1_zfmisc_1(X214) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_relset_2])])])])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( ~ v1_relat_1(X2)
| v1_relat_1(k5_relset_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
( ~ v1_relat_1(X3)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| X1 != k5_relset_2(X2,X3)
| k1_relat_1(X1) = k1_zfmisc_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
( ~ v1_relat_1(X2)
| v1_funct_1(k5_relset_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37])]) ).
cnf(c_0_53,plain,
( ~ v1_relat_1(X2)
| k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_50]),c_0_49]),c_0_51]) ).
fof(c_0_54,plain,
! [X264,X265,X266] :
( v1_relat_1(X266)
| ~ m1_subset_1(X266,k1_zfmisc_1(k2_zfmisc_1(X264,X265))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_55,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_37])]) ).
fof(c_0_56,plain,
! [X161,X162] :
( ( ~ v1_funct_1(X162)
| ~ v1_relat_1(X162)
| ~ r1_tarski(k2_relat_1(X162),X161)
| m2_relset_1(X162,k1_relat_1(X162),X161) )
& ( ~ v1_funct_1(X162)
| ~ v1_relat_1(X162)
| ~ r1_tarski(k2_relat_1(X162),X161)
| v1_funct_2(X162,k1_relat_1(X162),X161) )
& ( ~ v1_funct_1(X162)
| ~ v1_relat_1(X162)
| ~ r1_tarski(k2_relat_1(X162),X161)
| v1_funct_1(X162) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_funct_2])])])]) ).
cnf(c_0_57,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
m1_subset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))))),
inference(spm,[status(thm)],[c_0_39,c_0_55]) ).
cnf(c_0_59,plain,
( ~ v1_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k2_relat_1(X1),X2)
| v1_funct_2(X1,k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,negated_conjecture,
v1_relat_1(k5_relset_2(esk1_0,esk3_0)),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_60])]) ).
cnf(c_0_62,negated_conjecture,
( ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_63,negated_conjecture,
v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_37])]) ).
cnf(c_0_64,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_55])]) ).
cnf(c_0_65,negated_conjecture,
v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_53]),c_0_37])]) ).
cnf(c_0_66,negated_conjecture,
~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,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_51]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU425+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n014.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 06:27:09 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.50 Running first-order theorem proving
% 0.26/0.50 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
% 18.85/4.87 % Version: 3.5.1
% 18.85/4.87 % Preprocessing class: FMLLMMLLSSSNFFN.
% 18.85/4.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.85/4.87 % Starting new_bool_3 with 897s (3) cores
% 18.85/4.87 % Starting new_bool_1 with 897s (3) cores
% 18.85/4.87 % Starting sh5l with 299s (1) cores
% 18.85/4.87 % Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 299s (1) cores
% 18.85/4.87 % new_bool_1 with pid 3367184 completed with status 0
% 18.85/4.87 % Result found by new_bool_1
% 18.85/4.87 % Preprocessing class: FMLLMMLLSSSNFFN.
% 18.85/4.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.85/4.87 % Starting new_bool_3 with 897s (3) cores
% 18.85/4.87 % Starting new_bool_1 with 897s (3) cores
% 18.85/4.87 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 18.85/4.87 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.85/4.87 % Search class: FGHSM-SMLM32-MFFFFFNN
% 18.85/4.87 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 18.85/4.87 % Starting SubtermCWHack with 81s (1) cores
% 18.85/4.87 % Starting new_bool_1 with 90s (1) cores
% 18.85/4.87 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 18.85/4.87 % new_bool_1 with pid 3367189 completed with status 0
% 18.85/4.87 % Result found by new_bool_1
% 18.85/4.87 % Preprocessing class: FMLLMMLLSSSNFFN.
% 18.85/4.87 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 18.85/4.87 % Starting new_bool_3 with 897s (3) cores
% 18.85/4.87 % Starting new_bool_1 with 897s (3) cores
% 18.85/4.87 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 18.85/4.87 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.85/4.87 % Search class: FGHSM-SMLM32-MFFFFFNN
% 18.85/4.87 % Scheduled 13 strats onto 3 cores with 897 seconds (897 total)
% 18.85/4.87 % Starting SubtermCWHack with 81s (1) cores
% 18.85/4.87 % Starting new_bool_1 with 90s (1) cores
% 18.85/4.87 % Preprocessing time : 0.071 s
% 18.85/4.87 % Presaturation interreduction done
% 18.85/4.87
% 18.85/4.87 % Proof found!
% 18.85/4.87 % SZS status Theorem
% 18.85/4.87 % SZS output start CNFRefutation
% See solution above
% 18.85/4.87 % Parsed axioms : 19091
% 18.85/4.87 % Removed by relevancy pruning/SinE : 18307
% 18.85/4.87 % Initial clauses : 1401
% 18.85/4.87 % Removed in clause preprocessing : 25
% 18.85/4.87 % Initial clauses in saturation : 1376
% 18.85/4.87 % Processed clauses : 8221
% 18.85/4.87 % ...of these trivial : 194
% 18.85/4.87 % ...subsumed : 3940
% 18.85/4.87 % ...remaining for further processing : 4087
% 18.85/4.87 % Other redundant clauses eliminated : 612
% 18.85/4.87 % Clauses deleted for lack of memory : 0
% 18.85/4.87 % Backward-subsumed : 27
% 18.85/4.87 % Backward-rewritten : 63
% 18.85/4.87 % Generated clauses : 44666
% 18.85/4.87 % ...of the previous two non-redundant : 39685
% 18.85/4.87 % ...aggressively subsumed : 0
% 18.85/4.87 % Contextual simplify-reflections : 60
% 18.85/4.87 % Paramodulations : 44052
% 18.85/4.87 % Factorizations : 1
% 18.85/4.87 % NegExts : 0
% 18.85/4.87 % Equation resolutions : 621
% 18.85/4.87 % Disequality decompositions : 0
% 18.85/4.87 % Total rewrite steps : 11506
% 18.85/4.87 % ...of those cached : 9256
% 18.85/4.87 % Propositional unsat checks : 0
% 18.85/4.87 % Propositional check models : 0
% 18.85/4.87 % Propositional check unsatisfiable : 0
% 18.85/4.87 % Propositional clauses : 0
% 18.85/4.87 % Propositional clauses after purity: 0
% 18.85/4.87 % Propositional unsat core size : 0
% 18.85/4.87 % Propositional preprocessing time : 0.000
% 18.85/4.87 % Propositional encoding time : 0.000
% 18.85/4.87 % Propositional solver time : 0.000
% 18.85/4.87 % Success case prop preproc time : 0.000
% 18.85/4.87 % Success case prop encoding time : 0.000
% 18.85/4.87 % Success case prop solver time : 0.000
% 18.85/4.87 % Current number of processed clauses : 2661
% 18.85/4.87 % Positive orientable unit clauses : 665
% 18.85/4.87 % Positive unorientable unit clauses: 4
% 18.85/4.87 % Negative unit clauses : 627
% 18.85/4.87 % Non-unit-clauses : 1365
% 18.85/4.87 % Current number of unprocessed clauses: 33966
% 18.85/4.87 % ...number of literals in the above : 89729
% 18.85/4.87 % Current number of archived formulas : 0
% 18.85/4.87 % Current number of archived clauses : 1300
% 18.85/4.87 % Clause-clause subsumption calls (NU) : 455835
% 18.85/4.87 % Rec. Clause-clause subsumption calls : 195012
% 18.85/4.87 % Non-unit clause-clause subsumptions : 916
% 18.85/4.87 % Unit Clause-clause subsumption calls : 87332
% 18.85/4.87 % Rewrite failures with RHS unbound : 2
% 18.85/4.87 % BW rewrite match attempts : 1733
% 18.85/4.87 % BW rewrite match successes : 253
% 18.85/4.87 % Condensation attempts : 0
% 18.85/4.87 % Condensation successes : 0
% 18.85/4.87 % Termbank termtop insertions : 1171384
% 18.85/4.87 % Search garbage collected termcells : 199478
% 18.85/4.87
% 18.85/4.87 % -------------------------------------------------
% 18.85/4.87 % User time : 2.338 s
% 18.85/4.87 % System time : 0.184 s
% 18.85/4.87 % Total time : 2.523 s
% 18.85/4.87 % Maximum resident set size: 40820 pages
% 18.85/4.87
% 18.85/4.87 % -------------------------------------------------
% 18.85/4.87 % User time : 8.192 s
% 18.85/4.87 % System time : 0.475 s
% 18.85/4.87 % Total time : 8.667 s
% 18.85/4.87 % Maximum resident set size: 33024 pages
% 18.85/4.87 % E exiting
%------------------------------------------------------------------------------