TSTP Solution File: SEU446+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU446+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:36 EDT 2023
% Result : Theorem 673.65s 131.99s
% Output : CNFRefutation 673.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 70 ( 18 unt; 0 def)
% Number of atoms : 153 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 146 ( 63 ~; 50 |; 13 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-5 aty)
% Number of variables : 138 ( 2 sgn; 94 !; 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/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t58_relset_2) ).
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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',redefinition_m2_relset_1) ).
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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',d1_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t51_relset_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t3_subset) ).
fof(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',dt_k9_relset_2) ).
fof(t53_relset_2,axiom,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
& r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',redefinition_k10_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/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',dt_k6_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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t3_relat_1) ).
fof(t6_relat_1,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t6_relat_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/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',redefinition_k6_relset_1) ).
fof(t16_sysrel,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X3,k2_zfmisc_1(X1,X2))
=> r1_tarski(k4_relat_1(X3),k2_zfmisc_1(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t16_sysrel) ).
fof(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_funct_5(X1) = k1_relat_1(X1)
& k2_funct_5(X1) = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t21_funct_5) ).
fof(t37_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k2_relat_1(X1) = k1_relat_1(k4_relat_1(X1))
& k1_relat_1(X1) = k2_relat_1(k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t37_relat_1) ).
fof(t146_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k9_relat_1(X1,k1_relat_1(X1)) = k2_relat_1(X1) ),
file('/export/starexec/sandbox/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p',t146_relat_1) ).
fof(c_0_17,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_18,plain,
! [X512,X513,X514] :
( ( ~ m2_relset_1(X514,X512,X513)
| m1_relset_1(X514,X512,X513) )
& ( ~ m1_relset_1(X514,X512,X513)
| m2_relset_1(X514,X512,X513) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_19,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& 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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,plain,
! [X506,X507,X508] :
( ( ~ m1_relset_1(X508,X506,X507)
| r1_tarski(X508,k2_zfmisc_1(X506,X507)) )
& ( ~ r1_tarski(X508,k2_zfmisc_1(X506,X507))
| m1_relset_1(X508,X506,X507) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relset_1])]) ).
cnf(c_0_21,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X128,X129,X130] :
( ( k1_funct_5(X130) = k10_relset_1(X128,X129,k6_relset_1(X129,X128,X130),X128)
| ~ m2_relset_1(X130,X129,X128) )
& ( k2_funct_5(X130) = k10_relset_1(X129,X128,X130,X129)
| ~ m2_relset_1(X130,X129,X128) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
fof(c_0_24,plain,
! [X1943,X1944] :
( ( ~ m1_subset_1(X1943,k1_zfmisc_1(X1944))
| r1_tarski(X1943,X1944) )
& ( ~ r1_tarski(X1943,X1944)
| m1_subset_1(X1943,k1_zfmisc_1(X1944)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_25,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
m1_relset_1(esk3_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,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_28,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X83,X84,X85,X86,X87] :
( ~ m1_subset_1(X86,k1_zfmisc_1(k2_zfmisc_1(X83,X84)))
| ~ m1_subset_1(X87,k1_zfmisc_1(k2_zfmisc_1(X84,X85)))
| m2_relset_1(k9_relset_2(X83,X84,X85,X86,X87),X83,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
r1_tarski(esk3_0,k2_zfmisc_1(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( k2_funct_5(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m2_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) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,plain,
! [X98,X99,X100,X101,X102] :
( ( k2_funct_5(k9_relset_2(X98,X99,X100,X101,X102)) = k10_relset_1(X99,X100,X102,k2_funct_5(X101))
| ~ m2_relset_1(X102,X99,X100)
| ~ m2_relset_1(X101,X98,X99) )
& ( r1_tarski(k2_funct_5(k9_relset_2(X98,X99,X100,X101,X102)),k2_funct_5(X102))
| ~ m2_relset_1(X102,X99,X100)
| ~ m2_relset_1(X101,X98,X99) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t53_relset_2])])])]) ).
fof(c_0_36,plain,
! [X1711,X1712,X1713] :
( ~ m2_relset_1(X1713,X1711,X1712)
| m1_subset_1(X1713,k1_zfmisc_1(k2_zfmisc_1(X1711,X1712))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_37,negated_conjecture,
( k2_funct_5(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0)) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,plain,
( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
| ~ m2_relset_1(X5,X2,X3)
| ~ m2_relset_1(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_40,plain,
! [X66,X67,X68,X69] :
( ~ m1_relset_1(X68,X66,X67)
| k10_relset_1(X66,X67,X68,X69) = k9_relat_1(X68,X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
cnf(c_0_41,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,esk3_0,k2_funct_5(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_22])]),c_0_39]) ).
cnf(c_0_42,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_43,plain,
! [X117,X118,X119] :
( ~ m1_relset_1(X119,X117,X118)
| m2_relset_1(k6_relset_1(X117,X118,X119),X118,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(c_0_44,plain,
! [X1945,X1946] :
( ~ v1_relat_1(X1946)
| ~ r1_tarski(X1945,X1946)
| v1_relat_1(X1945) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_relat_1])]) ).
fof(c_0_45,plain,
! [X1706,X1707] : v1_relat_1(k2_zfmisc_1(X1706,X1707)),
inference(variable_rename,[status(thm)],[t6_relat_1]) ).
cnf(c_0_46,negated_conjecture,
( k9_relat_1(esk3_0,k2_funct_5(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m2_relset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_26])]) ).
cnf(c_0_47,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X123,X124,X125] :
( ~ m1_relset_1(X125,X123,X124)
| k6_relset_1(X123,X124,X125) = k4_relat_1(X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(c_0_49,plain,
! [X2212,X2213,X2214] :
( ~ v1_relat_1(X2214)
| ~ r1_tarski(X2214,k2_zfmisc_1(X2212,X2213))
| r1_tarski(k4_relat_1(X2214),k2_zfmisc_1(X2213,X2212)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t16_sysrel])]) ).
cnf(c_0_50,plain,
( v1_relat_1(X2)
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
k9_relat_1(esk3_0,k2_funct_5(k6_relset_1(esk1_0,esk2_0,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_46,c_0_47]),c_0_26])]) ).
cnf(c_0_53,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( r1_tarski(k4_relat_1(X1),k2_zfmisc_1(X3,X2))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
v1_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k9_relat_1(esk3_0,k2_funct_5(k4_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_26])]) ).
fof(c_0_57,plain,
! [X2030] :
( ( k1_funct_5(X2030) = k1_relat_1(X2030)
| ~ v1_relat_1(X2030) )
& ( k2_funct_5(X2030) = k2_relat_1(X2030)
| ~ v1_relat_1(X2030) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).
cnf(c_0_58,negated_conjecture,
r1_tarski(k4_relat_1(esk3_0),k2_zfmisc_1(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_55])]) ).
cnf(c_0_59,negated_conjecture,
k9_relat_1(esk3_0,k2_funct_5(k4_relat_1(esk3_0))) != k2_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_22])]) ).
cnf(c_0_60,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_61,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_58]),c_0_51])]) ).
cnf(c_0_62,negated_conjecture,
k2_funct_5(esk3_0) != k9_relat_1(esk3_0,k2_relat_1(k4_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
fof(c_0_63,plain,
! [X2181] :
( ( k2_relat_1(X2181) = k1_relat_1(k4_relat_1(X2181))
| ~ v1_relat_1(X2181) )
& ( k1_relat_1(X2181) = k2_relat_1(k4_relat_1(X2181))
| ~ v1_relat_1(X2181) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t37_relat_1])])]) ).
cnf(c_0_64,negated_conjecture,
k9_relat_1(esk3_0,k2_relat_1(k4_relat_1(esk3_0))) != k2_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_55])]) ).
cnf(c_0_65,plain,
( k1_relat_1(X1) = k2_relat_1(k4_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_66,plain,
! [X566] :
( ~ v1_relat_1(X566)
| k9_relat_1(X566,k1_relat_1(X566)) = k2_relat_1(X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])]) ).
cnf(c_0_67,negated_conjecture,
k9_relat_1(esk3_0,k1_relat_1(esk3_0)) != k2_relat_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55])]) ).
cnf(c_0_68,plain,
( k9_relat_1(X1,k1_relat_1(X1)) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 5.56/5.64 % Problem : SEU446+4 : TPTP v8.1.2. Released v3.4.0.
% 5.56/5.66 % Command : run_E %s %d THM
% 5.66/5.85 % Computer : n009.cluster.edu
% 5.66/5.85 % Model : x86_64 x86_64
% 5.66/5.85 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 5.66/5.85 % Memory : 8042.1875MB
% 5.66/5.85 % OS : Linux 3.10.0-693.el7.x86_64
% 5.66/5.85 % CPULimit : 2400
% 5.66/5.85 % WCLimit : 300
% 5.66/5.85 % DateTime : Mon Oct 2 08:43:30 EDT 2023
% 5.66/5.86 % CPUTime :
% 50.26/50.49 Running first-order theorem proving
% 50.26/50.49 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/tmp/tmp.xrypD4ZTSf/E---3.1_6569.p
% 673.65/131.99 # Version: 3.1pre001
% 673.65/131.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 673.65/131.99 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 673.65/131.99 # Starting new_bool_3 with 894s (3) cores
% 673.65/131.99 # Starting new_bool_1 with 894s (3) cores
% 673.65/131.99 # Starting sh5l with 298s (1) cores
% 673.65/131.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 673.65/131.99 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 6701 completed with status 0
% 673.65/131.99 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 673.65/131.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 673.65/131.99 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 673.65/131.99 # Starting new_bool_3 with 894s (3) cores
% 673.65/131.99 # Starting new_bool_1 with 894s (3) cores
% 673.65/131.99 # Starting sh5l with 298s (1) cores
% 673.65/131.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 673.65/131.99 # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 673.65/131.99 # Search class: FGHSM-SMLM32-DFFFFFNN
% 673.65/131.99 # Scheduled 12 strats onto 1 cores with 298 seconds (298 total)
% 673.65/131.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 673.65/131.99 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 6702 completed with status 7
% 673.65/131.99 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 25s (1) cores
% 673.65/131.99 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6714 completed with status 7
% 673.65/131.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 25s (1) cores
% 673.65/131.99 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 6953 completed with status 7
% 673.65/131.99 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 25s (1) cores
% 673.65/131.99 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7421 completed with status 0
% 673.65/131.99 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 673.65/131.99 # Preprocessing class: FMLLMLLLSSSNFFN.
% 673.65/131.99 # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 673.65/131.99 # Starting new_bool_3 with 894s (3) cores
% 673.65/131.99 # Starting new_bool_1 with 894s (3) cores
% 673.65/131.99 # Starting sh5l with 298s (1) cores
% 673.65/131.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 673.65/131.99 # SinE strategy is gf120_h_gu_RUU_F100_L01000
% 673.65/131.99 # Search class: FGHSM-SMLM32-DFFFFFNN
% 673.65/131.99 # Scheduled 12 strats onto 1 cores with 298 seconds (298 total)
% 673.65/131.99 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 25s (1) cores
% 673.65/131.99 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 6702 completed with status 7
% 673.65/131.99 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 25s (1) cores
% 673.65/131.99 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6714 completed with status 7
% 673.65/131.99 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 25s (1) cores
% 673.65/131.99 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 6953 completed with status 7
% 673.65/131.99 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 25s (1) cores
% 673.65/131.99 # Preprocessing time : 0.072 s
% 673.65/131.99 # Presaturation interreduction done
% 673.65/131.99
% 673.65/131.99 # Proof found!
% 673.65/131.99 # SZS status Theorem
% 673.65/131.99 # SZS output start CNFRefutation
% See solution above
% 673.65/131.99 # Parsed axioms : 71140
% 673.65/131.99 # Removed by relevancy pruning/SinE : 70139
% 673.65/131.99 # Initial clauses : 2314
% 673.65/131.99 # Removed in clause preprocessing : 57
% 673.65/131.99 # Initial clauses in saturation : 2257
% 673.65/131.99 # Processed clauses : 13554
% 673.65/131.99 # ...of these trivial : 45
% 673.65/131.99 # ...subsumed : 7668
% 673.65/131.99 # ...remaining for further processing : 5841
% 673.65/131.99 # Other redundant clauses eliminated : 304
% 673.65/131.99 # Clauses deleted for lack of memory : 0
% 673.65/131.99 # Backward-subsumed : 1331
% 673.65/131.99 # Backward-rewritten : 48
% 673.65/131.99 # Generated clauses : 58602
% 673.65/131.99 # ...of the previous two non-redundant : 52718
% 673.65/131.99 # ...aggressively subsumed : 0
% 673.65/131.99 # Contextual simplify-reflections : 161
% 673.65/131.99 # Paramodulations : 58304
% 673.65/131.99 # Factorizations : 2
% 673.65/131.99 # NegExts : 0
% 673.65/131.99 # Equation resolutions : 317
% 673.65/131.99 # Total rewrite steps : 15789
% 673.65/131.99 # Propositional unsat checks : 1
% 673.65/131.99 # Propositional check models : 0
% 673.65/131.99 # Propositional check unsatisfiable : 0
% 673.65/131.99 # Propositional clauses : 0
% 673.65/131.99 # Propositional clauses after purity: 0
% 673.65/131.99 # Propositional unsat core size : 0
% 673.65/131.99 # Propositional preprocessing time : 0.000
% 673.65/131.99 # Propositional encoding time : 0.041
% 673.65/131.99 # Propositional solver time : 0.025
% 673.65/131.99 # Success case prop preproc time : 0.000
% 673.65/131.99 # Success case prop encoding time : 0.000
% 673.65/131.99 # Success case prop solver time : 0.000
% 673.65/131.99 # Current number of processed clauses : 2201
% 673.65/131.99 # Positive orientable unit clauses : 359
% 673.65/131.99 # Positive unorientable unit clauses: 1
% 673.65/131.99 # Negative unit clauses : 198
% 673.65/131.99 # Non-unit-clauses : 1643
% 673.65/131.99 # Current number of unprocessed clauses: 41242
% 673.65/131.99 # ...number of literals in the above : 156902
% 673.65/131.99 # Current number of archived formulas : 0
% 673.65/131.99 # Current number of archived clauses : 3440
% 673.65/131.99 # Clause-clause subsumption calls (NU) : 2661684
% 673.65/131.99 # Rec. Clause-clause subsumption calls : 738630
% 673.65/131.99 # Non-unit clause-clause subsumptions : 5942
% 673.65/131.99 # Unit Clause-clause subsumption calls : 24130
% 673.65/131.99 # Rewrite failures with RHS unbound : 0
% 673.65/131.99 # BW rewrite match attempts : 746
% 673.65/131.99 # BW rewrite match successes : 72
% 673.65/131.99 # Condensation attempts : 0
% 673.65/131.99 # Condensation successes : 0
% 673.65/131.99 # Termbank termtop insertions : 3630215
% 673.65/131.99
% 673.65/131.99 # -------------------------------------------------
% 673.65/131.99 # User time : 75.795 s
% 673.65/131.99 # System time : 2.577 s
% 673.65/131.99 # Total time : 78.372 s
% 673.65/131.99 # Maximum resident set size: 146516 pages
% 673.65/131.99
% 673.65/131.99 # -------------------------------------------------
% 673.65/131.99 # User time : 78.333 s
% 673.65/131.99 # System time : 2.674 s
% 673.65/131.99 # Total time : 81.007 s
% 673.65/131.99 # Maximum resident set size: 117776 pages
% 673.65/131.99 % E---3.1 exiting
% 673.75/132.00 % E---3.1 exiting
%------------------------------------------------------------------------------