TSTP Solution File: SEU213+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU213+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 19:30:55 EDT 2023
% Result : Theorem 1154.92s 145.65s
% Output : CNFRefutation 1154.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 260 ( 28 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 336 ( 131 ~; 141 |; 37 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-5 aty)
% Number of variables : 96 ( 1 sgn; 49 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',d4_funct_1) ).
fof(t21_funct_1,conjecture,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',t21_funct_1) ).
fof(fc1_funct_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1)
& relation(X2)
& function(X2) )
=> ( relation(relation_composition(X1,X2))
& function(relation_composition(X1,X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',fc1_funct_1) ).
fof(d8_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( relation(X3)
=> ( X3 = relation_composition(X1,X2)
<=> ! [X4,X5] :
( in(ordered_pair(X4,X5),X3)
<=> ? [X6] :
( in(ordered_pair(X4,X6),X1)
& in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',d8_relat_1) ).
fof(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( relation(X1)
& relation(X2) )
=> relation(relation_composition(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',dt_k5_relat_1) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',t20_relat_1) ).
fof(t8_funct_1,lemma,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(ordered_pair(X1,X2),X3)
<=> ( in(X1,relation_dom(X3))
& X2 = apply(X3,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p',t8_funct_1) ).
fof(c_0_7,plain,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2,X3] :
( ( in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> in(ordered_pair(X2,X3),X1) ) )
& ( ~ in(X2,relation_dom(X1))
=> ( X3 = apply(X1,X2)
<=> X3 = empty_set ) ) ) ),
inference(fof_simplification,[status(thm)],[d4_funct_1]) ).
fof(c_0_8,plain,
! [X40,X41,X42] :
( ( X42 != apply(X40,X41)
| in(ordered_pair(X41,X42),X40)
| ~ in(X41,relation_dom(X40))
| ~ relation(X40)
| ~ function(X40) )
& ( ~ in(ordered_pair(X41,X42),X40)
| X42 = apply(X40,X41)
| ~ in(X41,relation_dom(X40))
| ~ relation(X40)
| ~ function(X40) )
& ( X42 != apply(X40,X41)
| X42 = empty_set
| in(X41,relation_dom(X40))
| ~ relation(X40)
| ~ function(X40) )
& ( X42 != empty_set
| X42 = apply(X40,X41)
| in(X41,relation_dom(X40))
| ~ relation(X40)
| ~ function(X40) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X1,relation_dom(relation_composition(X3,X2)))
<=> ( in(X1,relation_dom(X3))
& in(apply(X3,X1),relation_dom(X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t21_funct_1]) ).
cnf(c_0_10,plain,
( in(ordered_pair(X3,X1),X2)
| X1 != apply(X2,X3)
| ~ in(X3,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,negated_conjecture,
( relation(esk2_0)
& function(esk2_0)
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(esk1_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) )
& ( in(esk1_0,relation_dom(esk3_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) )
& ( in(apply(esk3_0,esk1_0),relation_dom(esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_12,plain,
( in(ordered_pair(X1,apply(X2,X1)),X2)
| ~ relation(X2)
| ~ function(X2)
| ~ in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( in(esk1_0,relation_dom(esk3_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X74,X75] :
( ( relation(relation_composition(X74,X75))
| ~ relation(X74)
| ~ function(X74)
| ~ relation(X75)
| ~ function(X75) )
& ( function(relation_composition(X74,X75))
| ~ relation(X74)
| ~ function(X74)
| ~ relation(X75)
| ~ function(X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_funct_1])])]) ).
fof(c_0_15,plain,
! [X46,X47,X48,X49,X50,X52,X53,X54,X57] :
( ( in(ordered_pair(X49,esk9_5(X46,X47,X48,X49,X50)),X46)
| ~ in(ordered_pair(X49,X50),X48)
| X48 != relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) )
& ( in(ordered_pair(esk9_5(X46,X47,X48,X49,X50),X50),X47)
| ~ in(ordered_pair(X49,X50),X48)
| X48 != relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) )
& ( ~ in(ordered_pair(X52,X54),X46)
| ~ in(ordered_pair(X54,X53),X47)
| in(ordered_pair(X52,X53),X48)
| X48 != relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) )
& ( ~ in(ordered_pair(esk10_3(X46,X47,X48),esk11_3(X46,X47,X48)),X48)
| ~ in(ordered_pair(esk10_3(X46,X47,X48),X57),X46)
| ~ in(ordered_pair(X57,esk11_3(X46,X47,X48)),X47)
| X48 = relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) )
& ( in(ordered_pair(esk10_3(X46,X47,X48),esk12_3(X46,X47,X48)),X46)
| in(ordered_pair(esk10_3(X46,X47,X48),esk11_3(X46,X47,X48)),X48)
| X48 = relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) )
& ( in(ordered_pair(esk12_3(X46,X47,X48),esk11_3(X46,X47,X48)),X47)
| in(ordered_pair(esk10_3(X46,X47,X48),esk11_3(X46,X47,X48)),X48)
| X48 = relation_composition(X46,X47)
| ~ relation(X48)
| ~ relation(X47)
| ~ relation(X46) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_relat_1])])])])])]) ).
fof(c_0_16,plain,
! [X59,X60] :
( ~ relation(X59)
| ~ relation(X60)
| relation(relation_composition(X59,X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
cnf(c_0_17,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(esk3_0))
| ~ relation(relation_composition(esk3_0,esk2_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( function(relation_composition(X1,X2))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( in(ordered_pair(X1,esk9_5(X2,X3,X4,X1,X5)),X2)
| ~ in(ordered_pair(X1,X5),X4)
| X4 != relation_composition(X2,X3)
| ~ relation(X4)
| ~ relation(X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( relation(relation_composition(X1,X2))
| ~ relation(X1)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(esk3_0))
| ~ relation(relation_composition(esk3_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_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
fof(c_0_26,lemma,
! [X33,X34,X35] :
( ( in(X33,relation_dom(X35))
| ~ in(ordered_pair(X33,X34),X35)
| ~ relation(X35) )
& ( in(X34,relation_rng(X35))
| ~ in(ordered_pair(X33,X34),X35)
| ~ relation(X35) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).
cnf(c_0_27,plain,
( in(ordered_pair(X1,esk9_5(X2,X3,relation_composition(X2,X3),X1,X4)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),relation_composition(X2,X3)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_23]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_19]),c_0_20])]) ).
cnf(c_0_29,plain,
( in(ordered_pair(X1,X4),X6)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(ordered_pair(X2,X4),X5)
| X6 != relation_composition(X3,X5)
| ~ relation(X6)
| ~ relation(X5)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_30,negated_conjecture,
( in(apply(esk3_0,esk1_0),relation_dom(esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,lemma,
( in(X1,relation_dom(X2))
| ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( in(ordered_pair(esk1_0,esk9_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0))),esk3_0)
| in(esk1_0,relation_dom(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]),c_0_20])]) ).
cnf(c_0_33,plain,
( in(ordered_pair(X1,X2),relation_composition(X3,X4))
| ~ relation(X4)
| ~ relation(X3)
| ~ in(ordered_pair(X5,X2),X4)
| ~ in(ordered_pair(X1,X5),X3) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( in(ordered_pair(apply(esk3_0,esk1_0),apply(esk2_0,apply(esk3_0,esk1_0))),esk2_0)
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_30]),c_0_19]),c_0_21])]) ).
cnf(c_0_35,lemma,
in(esk1_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_20])]) ).
cnf(c_0_36,negated_conjecture,
( in(ordered_pair(X1,apply(esk2_0,apply(esk3_0,esk1_0))),relation_composition(X2,esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ relation(X2)
| ~ in(ordered_pair(X1,apply(esk3_0,esk1_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19])]) ).
cnf(c_0_37,lemma,
in(ordered_pair(esk1_0,apply(esk3_0,esk1_0)),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_35]),c_0_20]),c_0_22])]) ).
cnf(c_0_38,lemma,
( in(ordered_pair(esk1_0,apply(esk2_0,apply(esk3_0,esk1_0))),relation_composition(esk3_0,esk2_0))
| in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20])]) ).
cnf(c_0_39,lemma,
( in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ relation(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
cnf(c_0_40,lemma,
in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_19]),c_0_20])]) ).
cnf(c_0_41,lemma,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| ~ relation(relation_composition(esk3_0,esk2_0))
| ~ function(relation_composition(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_40]) ).
cnf(c_0_42,lemma,
( in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0))
| ~ relation(relation_composition(esk3_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_41,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
fof(c_0_43,lemma,
! [X43,X44,X45] :
( ( in(X43,relation_dom(X45))
| ~ in(ordered_pair(X43,X44),X45)
| ~ relation(X45)
| ~ function(X45) )
& ( X44 = apply(X45,X43)
| ~ in(ordered_pair(X43,X44),X45)
| ~ relation(X45)
| ~ function(X45) )
& ( ~ in(X43,relation_dom(X45))
| X44 != apply(X45,X43)
| in(ordered_pair(X43,X44),X45)
| ~ relation(X45)
| ~ function(X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_funct_1])])]) ).
cnf(c_0_44,lemma,
in(ordered_pair(esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)),relation_composition(esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_24]),c_0_19]),c_0_20])]) ).
cnf(c_0_45,plain,
( in(ordered_pair(esk9_5(X1,X2,X3,X4,X5),X5),X2)
| ~ in(ordered_pair(X4,X5),X3)
| X3 != relation_composition(X1,X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,lemma,
( X1 = apply(X2,X3)
| ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,lemma,
in(ordered_pair(esk1_0,esk9_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0))),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_19]),c_0_20])]) ).
cnf(c_0_48,negated_conjecture,
( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(esk1_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,plain,
( in(ordered_pair(esk9_5(X1,X2,relation_composition(X1,X2),X3,X4),X4),X2)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(ordered_pair(X3,X4),relation_composition(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_24]) ).
cnf(c_0_50,lemma,
esk9_5(esk3_0,esk2_0,relation_composition(esk3_0,esk2_0),esk1_0,apply(relation_composition(esk3_0,esk2_0),esk1_0)) = apply(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]),c_0_22])]) ).
cnf(c_0_51,negated_conjecture,
( ~ in(esk1_0,relation_dom(relation_composition(esk3_0,esk2_0)))
| ~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_35])]) ).
cnf(c_0_52,lemma,
in(ordered_pair(apply(esk3_0,esk1_0),apply(relation_composition(esk3_0,esk2_0),esk1_0)),esk2_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_19]),c_0_20])]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
~ in(apply(esk3_0,esk1_0),relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40])]) ).
cnf(c_0_54,lemma,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_19])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU213+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 09:53:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.Yc7l2AEVmR/E---3.1_9827.p
% 1154.92/145.65 # Version: 3.1pre001
% 1154.92/145.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1154.92/145.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1154.92/145.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1154.92/145.65 # Starting new_bool_3 with 300s (1) cores
% 1154.92/145.65 # Starting new_bool_1 with 300s (1) cores
% 1154.92/145.65 # Starting sh5l with 300s (1) cores
% 1154.92/145.65 # new_bool_3 with pid 9945 completed with status 0
% 1154.92/145.65 # Result found by new_bool_3
% 1154.92/145.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1154.92/145.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1154.92/145.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1154.92/145.65 # Starting new_bool_3 with 300s (1) cores
% 1154.92/145.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1154.92/145.65 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1154.92/145.65 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1154.92/145.65 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9954 completed with status 7
% 1154.92/145.65 # Starting new_bool_3 with 31s (1) cores
% 1154.92/145.65 # new_bool_3 with pid 10890 completed with status 7
% 1154.92/145.65 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 1154.92/145.65 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 12407 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13150 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 14491 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 28s (1) cores
% 1154.92/145.65 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 15887 completed with status 0
% 1154.92/145.65 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 1154.92/145.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1154.92/145.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1154.92/145.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1154.92/145.65 # Starting new_bool_3 with 300s (1) cores
% 1154.92/145.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1154.92/145.65 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1154.92/145.65 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1154.92/145.65 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9954 completed with status 7
% 1154.92/145.65 # Starting new_bool_3 with 31s (1) cores
% 1154.92/145.65 # new_bool_3 with pid 10890 completed with status 7
% 1154.92/145.65 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 28s (1) cores
% 1154.92/145.65 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 12407 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13150 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 28s (1) cores
% 1154.92/145.65 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 14491 completed with status 7
% 1154.92/145.65 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 28s (1) cores
% 1154.92/145.65 # Preprocessing time : 0.003 s
% 1154.92/145.65 # Presaturation interreduction done
% 1154.92/145.65
% 1154.92/145.65 # Proof found!
% 1154.92/145.65 # SZS status Theorem
% 1154.92/145.65 # SZS output start CNFRefutation
% See solution above
% 1154.92/145.65 # Parsed axioms : 217
% 1154.92/145.65 # Removed by relevancy pruning/SinE : 154
% 1154.92/145.65 # Initial clauses : 123
% 1154.92/145.65 # Removed in clause preprocessing : 2
% 1154.92/145.65 # Initial clauses in saturation : 121
% 1154.92/145.65 # Processed clauses : 7636
% 1154.92/145.65 # ...of these trivial : 21
% 1154.92/145.65 # ...subsumed : 6349
% 1154.92/145.65 # ...remaining for further processing : 1266
% 1154.92/145.65 # Other redundant clauses eliminated : 141
% 1154.92/145.65 # Clauses deleted for lack of memory : 0
% 1154.92/145.65 # Backward-subsumed : 108
% 1154.92/145.65 # Backward-rewritten : 147
% 1154.92/145.65 # Generated clauses : 60201
% 1154.92/145.65 # ...of the previous two non-redundant : 55399
% 1154.92/145.65 # ...aggressively subsumed : 0
% 1154.92/145.65 # Contextual simplify-reflections : 82
% 1154.92/145.65 # Paramodulations : 60039
% 1154.92/145.65 # Factorizations : 16
% 1154.92/145.65 # NegExts : 0
% 1154.92/145.65 # Equation resolutions : 143
% 1154.92/145.65 # Total rewrite steps : 14484
% 1154.92/145.65 # Propositional unsat checks : 0
% 1154.92/145.65 # Propositional check models : 0
% 1154.92/145.65 # Propositional check unsatisfiable : 0
% 1154.92/145.65 # Propositional clauses : 0
% 1154.92/145.65 # Propositional clauses after purity: 0
% 1154.92/145.65 # Propositional unsat core size : 0
% 1154.92/145.65 # Propositional preprocessing time : 0.000
% 1154.92/145.65 # Propositional encoding time : 0.000
% 1154.92/145.65 # Propositional solver time : 0.000
% 1154.92/145.65 # Success case prop preproc time : 0.000
% 1154.92/145.65 # Success case prop encoding time : 0.000
% 1154.92/145.65 # Success case prop solver time : 0.000
% 1154.92/145.65 # Current number of processed clauses : 884
% 1154.92/145.65 # Positive orientable unit clauses : 59
% 1154.92/145.65 # Positive unorientable unit clauses: 0
% 1154.92/145.65 # Negative unit clauses : 29
% 1154.92/145.65 # Non-unit-clauses : 796
% 1154.92/145.65 # Current number of unprocessed clauses: 47400
% 1154.92/145.65 # ...number of literals in the above : 234388
% 1154.92/145.65 # Current number of archived formulas : 0
% 1154.92/145.65 # Current number of archived clauses : 366
% 1154.92/145.65 # Clause-clause subsumption calls (NU) : 169840
% 1154.92/145.65 # Rec. Clause-clause subsumption calls : 85463
% 1154.92/145.65 # Non-unit clause-clause subsumptions : 4161
% 1154.92/145.65 # Unit Clause-clause subsumption calls : 1625
% 1154.92/145.65 # Rewrite failures with RHS unbound : 0
% 1154.92/145.65 # BW rewrite match attempts : 19
% 1154.92/145.65 # BW rewrite match successes : 10
% 1154.92/145.65 # Condensation attempts : 0
% 1154.92/145.65 # Condensation successes : 0
% 1154.92/145.65 # Termbank termtop insertions : 875989
% 1154.92/145.65
% 1154.92/145.65 # -------------------------------------------------
% 1154.92/145.65 # User time : 140.266 s
% 1154.92/145.65 # System time : 3.829 s
% 1154.92/145.65 # Total time : 144.095 s
% 1154.92/145.65 # Maximum resident set size: 2272 pages
% 1154.92/145.65
% 1154.92/145.65 # -------------------------------------------------
% 1154.92/145.65 # User time : 140.275 s
% 1154.92/145.65 # System time : 3.832 s
% 1154.92/145.65 # Total time : 144.107 s
% 1154.92/145.65 # Maximum resident set size: 1892 pages
% 1154.92/145.65 % E---3.1 exiting
%------------------------------------------------------------------------------