%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU441+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 : n007.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 02:29:27 PM UTC 2026
% Result : Theorem 9.92s 2.17s
% Output : CNFRefutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 82 ( 21 unt; 0 def)
% Number of atoms : 177 ( 38 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 169 ( 74 ~; 62 |; 12 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-5 aty)
% Number of variables : 171 ( 5 sgn 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t53_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5))
& k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_relset_2) ).
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(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/sandbox/benchmark/theBenchmark.p',t51_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/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(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/sandbox/benchmark/theBenchmark.p',t21_funct_5) ).
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_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(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_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/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_1) ).
fof(redefinition_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k5_relset_1(X1,X2,X3) = k2_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_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(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(c_0_17,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5))
& k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4)) ) ) ),
inference(assume_negation,[status(cth)],[t53_relset_2]) ).
fof(c_0_18,plain,
! [X35,X36,X37] :
( m1_subset_1(X37,k1_zfmisc_1(k2_zfmisc_1(X35,X36)))
| ~ m2_relset_1(X37,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
fof(c_0_19,negated_conjecture,
( ( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0))
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) )
& m2_relset_1(esk5_0,esk2_0,esk3_0)
& m2_relset_1(esk4_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_17])])])]) ).
fof(c_0_20,plain,
! [X106,X107,X108] :
( ( ~ m2_relset_1(X108,X107,X106)
| k2_funct_5(X108) = k10_relset_1(X107,X106,X108,X107) )
& ( ~ m2_relset_1(X108,X107,X106)
| k1_funct_5(X108) = k10_relset_1(X106,X107,k6_relset_1(X107,X106,X108),X106) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])])]) ).
fof(c_0_21,plain,
! [X71,X72,X73,X74] :
( k10_relset_1(X71,X72,X73,X74) = k9_relat_1(X73,X74)
| ~ m1_relset_1(X73,X71,X72) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])]) ).
fof(c_0_22,plain,
! [X86,X87,X88] :
( ( m2_relset_1(X88,X86,X87)
| ~ m1_relset_1(X88,X86,X87) )
& ( m1_relset_1(X88,X86,X87)
| ~ m2_relset_1(X88,X86,X87) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_23,plain,
! [X98] :
( ( ~ v1_relat_1(X98)
| k2_funct_5(X98) = k2_relat_1(X98) )
& ( ~ v1_relat_1(X98)
| k1_funct_5(X98) = k1_relat_1(X98) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])])]) ).
fof(c_0_24,plain,
! [X14,X15,X16] :
( v1_relat_1(X16)
| ~ m1_subset_1(X16,k1_zfmisc_1(k2_zfmisc_1(X14,X15))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_25,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_18]) ).
cnf(c_0_26,negated_conjecture,
m2_relset_1(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,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_20]) ).
cnf(c_0_28,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_21]) ).
cnf(c_0_29,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0))
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( ~ v1_relat_1(X1)
| k2_funct_5(X1) = k2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
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_24]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_36,plain,
( ~ m1_relset_1(X1,X2,X3)
| k9_relat_1(X1,X2) = k2_funct_5(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_37,negated_conjecture,
m1_relset_1(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
m1_relset_1(esk5_0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
fof(c_0_40,plain,
! [X30,X31,X32,X33,X34] :
( m2_relset_1(k9_relset_2(X30,X31,X32,X33,X34),X30,X32)
| ~ m1_subset_1(X34,k1_zfmisc_1(k2_zfmisc_1(X31,X32)))
| ~ m1_subset_1(X33,k1_zfmisc_1(k2_zfmisc_1(X30,X31))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])])]) ).
cnf(c_0_41,negated_conjecture,
( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_relat_1(esk5_0))
| ~ v1_relat_1(esk5_0)
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
k2_funct_5(esk4_0) = k9_relat_1(esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_34,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
k2_funct_5(esk5_0) = k9_relat_1(esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_36,c_0_39]) ).
cnf(c_0_46,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_40]) ).
cnf(c_0_47,negated_conjecture,
( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_relat_1(esk5_0))
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_48,negated_conjecture,
k9_relat_1(esk4_0,esk1_0) = k2_relat_1(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_43]),c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
k2_relat_1(esk5_0) = k9_relat_1(esk5_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_42])]) ).
cnf(c_0_50,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_30,c_0_46]) ).
fof(c_0_51,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_52,negated_conjecture,
( ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k9_relat_1(esk5_0,esk2_0))
| k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_43]),c_0_48]),c_0_49]) ).
cnf(c_0_53,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)))
| k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k9_relat_1(k9_relset_2(X1,X2,X3,X4,X5),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
fof(c_0_54,plain,
! [X81,X82,X83,X84,X85] :
( k9_relset_2(X81,X82,X83,X84,X85) = k5_relat_1(X84,X85)
| ~ m1_subset_1(X85,k1_zfmisc_1(k2_zfmisc_1(X82,X83)))
| ~ m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(X81,X82))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])])]) ).
fof(c_0_55,plain,
! [X99,X100] :
( r2_hidden(X99,X100)
| v1_xboole_0(X100)
| ~ m1_subset_1(X99,X100) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_56,plain,
! [X24,X25,X26] :
( m1_subset_1(k5_relset_1(X24,X25,X26),k1_zfmisc_1(X25))
| ~ m1_relset_1(X26,X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])])]) ).
fof(c_0_57,plain,
! [X49] : ~ v1_xboole_0(k1_zfmisc_1(X49)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).
cnf(c_0_58,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0),k9_relat_1(esk5_0,esk2_0))
| k9_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),esk1_0) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_35]),c_0_38])]) ).
cnf(c_0_59,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_54]) ).
cnf(c_0_60,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,plain,
( ~ m1_relset_1(X1,X2,X3)
| m1_subset_1(k5_relset_1(X2,X3,X1),k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_63,plain,
! [X75,X76,X77] :
( k5_relset_1(X75,X76,X77) = k2_relat_1(X77)
| ~ m1_relset_1(X77,X75,X76) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])])]) ).
cnf(c_0_64,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0),k9_relat_1(esk5_0,esk2_0))
| k10_relset_1(esk2_0,esk3_0,esk5_0,k2_relat_1(esk4_0)) != k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_35]),c_0_38])]) ).
fof(c_0_65,plain,
! [X93,X94,X95] :
( k9_relat_1(k5_relat_1(X94,X95),X93) = k9_relat_1(X95,k9_relat_1(X94,X93))
| ~ v1_relat_1(X95)
| ~ v1_relat_1(X94) ),
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_66,plain,
( ~ m1_relset_1(X3,X1,X2)
| r2_hidden(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_67,plain,
( ~ m1_relset_1(X1,X2,X3)
| k5_relset_1(X2,X3,X1) = k2_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( ~ r1_tarski(k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0),k9_relat_1(esk5_0,esk2_0))
| k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0) != k9_relat_1(esk5_0,k2_relat_1(esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_28]),c_0_39])]) ).
cnf(c_0_69,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_65]) ).
fof(c_0_70,plain,
! [X90,X91,X92] :
( r1_tarski(k9_relat_1(X92,X90),k9_relat_1(X92,X91))
| ~ r1_tarski(X90,X91)
| ~ v1_relat_1(X92) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])])]) ).
fof(c_0_71,plain,
! [X96,X97] :
( m1_subset_1(X96,X97)
| ~ r2_hidden(X96,X97) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_72,plain,
( ~ m1_relset_1(X1,X3,X2)
| r2_hidden(k2_relat_1(X1),k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
~ r1_tarski(k9_relat_1(esk5_0,k2_relat_1(esk4_0)),k9_relat_1(esk5_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_48]),c_0_48]),c_0_42]),c_0_44])]) ).
cnf(c_0_74,plain,
( ~ r1_tarski(X2,X3)
| ~ v1_relat_1(X1)
| r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_75,plain,
! [X101,X102] :
( ( m1_subset_1(X101,k1_zfmisc_1(X102))
| ~ r1_tarski(X101,X102) )
& ( r1_tarski(X101,X102)
| ~ m1_subset_1(X101,k1_zfmisc_1(X102)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_76,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,negated_conjecture,
r2_hidden(k2_relat_1(esk4_0),k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_72,c_0_37]) ).
cnf(c_0_78,negated_conjecture,
~ r1_tarski(k2_relat_1(esk4_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_42])]) ).
cnf(c_0_79,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,negated_conjecture,
m1_subset_1(k2_relat_1(esk4_0),k1_zfmisc_1(esk2_0)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU441+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n007.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 06:29:35 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.53 Running first-order theorem proving
% 0.27/0.53 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
% 9.92/2.17 % Version: 3.5.1
% 9.92/2.17 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.92/2.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.92/2.17 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.92/2.17 % Starting new_bool_3 with 300s (1) cores
% 9.92/2.17 % Starting new_bool_1 with 300s (1) cores
% 9.92/2.17 % Starting sh5l with 300s (1) cores
% 9.92/2.17 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 422076 completed with status 0
% 9.92/2.17 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.92/2.17 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.92/2.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.92/2.17 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.92/2.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.92/2.17 % No SInE strategy applied
% 9.92/2.17 % Search class: FGHSM-FFMM31-SFFFFFNN
% 9.92/2.17 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 9.92/2.17 % Starting SubtermCWHack with 136s (1) cores
% 9.92/2.17 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.92/2.17 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 9.92/2.17 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 9.92/2.17 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.92/2.17 % G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 422084 completed with status 0
% 9.92/2.17 % Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.92/2.17 % Preprocessing class: FSLSSMSSSSSNFFN.
% 9.92/2.17 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.92/2.17 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 9.92/2.17 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.92/2.17 % No SInE strategy applied
% 9.92/2.17 % Search class: FGHSM-FFMM31-SFFFFFNN
% 9.92/2.17 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 9.92/2.17 % Starting SubtermCWHack with 136s (1) cores
% 9.92/2.17 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 9.92/2.17 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 136s (1) cores
% 9.92/2.17 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 9.92/2.17 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.92/2.17 % Preprocessing time : 0.003 s
% 9.92/2.17 % Presaturation interreduction done
% 9.92/2.17
% 9.92/2.17 % Proof found!
% 9.92/2.17 % SZS status Theorem
% 9.92/2.17 % SZS output start CNFRefutation
% See solution above
% 9.92/2.17 % Parsed axioms : 61
% 9.92/2.17 % Removed by relevancy pruning/SinE : 0
% 9.92/2.17 % Initial clauses : 80
% 9.92/2.17 % Removed in clause preprocessing : 10
% 9.92/2.17 % Initial clauses in saturation : 70
% 9.92/2.17 % Processed clauses : 8126
% 9.92/2.17 % ...of these trivial : 26
% 9.92/2.17 % ...subsumed : 6033
% 9.92/2.17 % ...remaining for further processing : 2067
% 9.92/2.17 % Other redundant clauses eliminated : 0
% 9.92/2.17 % Clauses deleted for lack of memory : 0
% 9.92/2.17 % Backward-subsumed : 677
% 9.92/2.17 % Backward-rewritten : 237
% 9.92/2.17 % Generated clauses : 43769
% 9.92/2.17 % ...of the previous two non-redundant : 38293
% 9.92/2.17 % ...aggressively subsumed : 0
% 9.92/2.17 % Contextual simplify-reflections : 119
% 9.92/2.17 % Paramodulations : 43767
% 9.92/2.17 % Factorizations : 0
% 9.92/2.17 % NegExts : 0
% 9.92/2.17 % Equation resolutions : 0
% 9.92/2.17 % Disequality decompositions : 0
% 9.92/2.17 % Total rewrite steps : 15919
% 9.92/2.17 % ...of those cached : 15629
% 9.92/2.17 % Propositional unsat checks : 0
% 9.92/2.17 % Propositional check models : 0
% 9.92/2.17 % Propositional check unsatisfiable : 0
% 9.92/2.17 % Propositional clauses : 0
% 9.92/2.17 % Propositional clauses after purity: 0
% 9.92/2.17 % Propositional unsat core size : 0
% 9.92/2.17 % Propositional preprocessing time : 0.000
% 9.92/2.17 % Propositional encoding time : 0.000
% 9.92/2.17 % Propositional solver time : 0.000
% 9.92/2.17 % Success case prop preproc time : 0.000
% 9.92/2.17 % Success case prop encoding time : 0.000
% 9.92/2.17 % Success case prop solver time : 0.000
% 9.92/2.17 % Current number of processed clauses : 1083
% 9.92/2.17 % Positive orientable unit clauses : 130
% 9.92/2.17 % Positive unorientable unit clauses: 0
% 9.92/2.17 % Negative unit clauses : 39
% 9.92/2.17 % Non-unit-clauses : 914
% 9.92/2.17 % Current number of unprocessed clauses: 25552
% 9.92/2.17 % ...number of literals in the above : 110677
% 9.92/2.17 % Current number of archived formulas : 0
% 9.92/2.17 % Current number of archived clauses : 984
% 9.92/2.17 % Clause-clause subsumption calls (NU) : 508141
% 9.92/2.17 % Rec. Clause-clause subsumption calls : 281241
% 9.92/2.17 % Non-unit clause-clause subsumptions : 4734
% 9.92/2.17 % Unit Clause-clause subsumption calls : 10030
% 9.92/2.17 % Rewrite failures with RHS unbound : 0
% 9.92/2.17 % BW rewrite match attempts : 101
% 9.92/2.17 % BW rewrite match successes : 75
% 9.92/2.17 % Condensation attempts : 0
% 9.92/2.17 % Condensation successes : 0
% 9.92/2.17 % Termbank termtop insertions : 522382
% 9.92/2.17 % Search garbage collected termcells : 673
% 9.92/2.17
% 9.92/2.17 % -------------------------------------------------
% 9.92/2.17 % User time : 1.497 s
% 9.92/2.17 % System time : 0.036 s
% 9.92/2.17 % Total time : 1.533 s
% 9.92/2.17 % Maximum resident set size: 3432 pages
% 9.92/2.17
% 9.92/2.17 % -------------------------------------------------
% 9.92/2.17 % User time : 6.558 s
% 9.92/2.17 % System time : 0.260 s
% 9.92/2.17 % Total time : 6.817 s
% 9.92/2.17 % Maximum resident set size: 4608 pages
% 9.92/2.17 % E exiting
%------------------------------------------------------------------------------