TSTP Solution File: SET990+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET990+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:55:55 EDT 2022
% Result : Theorem 0.25s 4.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 19 unt; 0 def)
% Number of atoms : 277 ( 94 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 318 ( 107 ~; 156 |; 34 &)
% ( 8 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 128 ( 36 sgn 56 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_relat_1,axiom,
! [X1] :
( relation(X1)
<=> ! [X2] :
~ ( in(X2,X1)
& ! [X3,X4] : X2 != ordered_pair(X3,X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d1_relat_1) ).
fof(t112_zfmisc_1,axiom,
! [X1,X2] :
( ( ! [X3] :
~ ( in(X3,X1)
& ! [X4,X5] : X3 != ordered_pair(X4,X5) )
& ! [X3] :
~ ( in(X3,X2)
& ! [X4,X5] : X3 != ordered_pair(X4,X5) )
& ! [X3,X4] :
( in(ordered_pair(X3,X4),X1)
<=> in(ordered_pair(X3,X4),X2) ) )
=> X1 = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t112_zfmisc_1) ).
fof(t9_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t9_funct_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d4_relat_1) ).
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/solver/bin/../tmp/theBenchmark.p',d4_funct_1) ).
fof(c_0_5,plain,
! [X5,X6,X5,X10,X11] :
( ( ~ relation(X5)
| ~ in(X6,X5)
| X6 = ordered_pair(esk9_2(X5,X6),esk10_2(X5,X6)) )
& ( in(esk11_1(X5),X5)
| relation(X5) )
& ( esk11_1(X5) != ordered_pair(X10,X11)
| relation(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_relat_1])])])])])])]) ).
fof(c_0_6,plain,
! [X6,X7,X9,X10,X12,X13] :
( ( ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| in(esk13_2(X6,X7),X7)
| in(esk12_2(X6,X7),X6)
| X6 = X7 )
& ( in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| in(esk13_2(X6,X7),X7)
| in(esk12_2(X6,X7),X6)
| X6 = X7 )
& ( ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| esk13_2(X6,X7) != ordered_pair(X12,X13)
| in(esk12_2(X6,X7),X6)
| X6 = X7 )
& ( in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| esk13_2(X6,X7) != ordered_pair(X12,X13)
| in(esk12_2(X6,X7),X6)
| X6 = X7 )
& ( ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| in(esk13_2(X6,X7),X7)
| esk12_2(X6,X7) != ordered_pair(X9,X10)
| X6 = X7 )
& ( in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| in(esk13_2(X6,X7),X7)
| esk12_2(X6,X7) != ordered_pair(X9,X10)
| X6 = X7 )
& ( ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| ~ in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| esk13_2(X6,X7) != ordered_pair(X12,X13)
| esk12_2(X6,X7) != ordered_pair(X9,X10)
| X6 = X7 )
& ( in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X6)
| in(ordered_pair(esk14_2(X6,X7),esk15_2(X6,X7)),X7)
| esk13_2(X6,X7) != ordered_pair(X12,X13)
| esk12_2(X6,X7) != ordered_pair(X9,X10)
| X6 = X7 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t112_zfmisc_1])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
inference(assume_negation,[status(cth)],[t9_funct_1]) ).
cnf(c_0_8,plain,
( X1 = ordered_pair(esk9_2(X2,X1),esk10_2(X2,X1))
| ~ in(X1,X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = X2
| in(esk12_2(X1,X2),X1)
| in(esk13_2(X1,X2),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( X1 = X2
| in(esk12_2(X1,X2),X1)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| esk13_2(X1,X2) != ordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
! [X6] :
( relation(esk1_0)
& function(esk1_0)
& relation(esk2_0)
& function(esk2_0)
& relation_dom(esk1_0) = relation_dom(esk2_0)
& ( ~ in(X6,relation_dom(esk1_0))
| apply(esk1_0,X6) = apply(esk2_0,X6) )
& esk1_0 != esk2_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_12,plain,
( X1 = X2
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| in(esk12_2(X1,X2),X1)
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( X1 = esk2_0
| in(ordered_pair(esk14_2(X1,esk2_0),esk15_2(X1,esk2_0)),esk2_0)
| in(ordered_pair(esk14_2(X1,esk2_0),esk15_2(X1,esk2_0)),X1)
| in(esk12_2(X1,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( ordered_pair(esk9_2(X1,esk12_2(X1,esk2_0)),esk10_2(X1,esk12_2(X1,esk2_0))) = esk12_2(X1,esk2_0)
| X1 = esk2_0
| in(ordered_pair(esk14_2(X1,esk2_0),esk15_2(X1,esk2_0)),esk2_0)
| in(ordered_pair(esk14_2(X1,esk2_0),esk15_2(X1,esk2_0)),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( X1 = X2
| in(esk13_2(X1,X2),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| esk12_2(X1,X2) != ordered_pair(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ordered_pair(esk9_2(esk1_0,esk12_2(esk1_0,esk2_0)),esk10_2(esk1_0,esk12_2(esk1_0,esk2_0))) = esk12_2(esk1_0,esk2_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,plain,
( X1 = X2
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| esk12_2(X1,X2) != ordered_pair(X3,X4)
| esk13_2(X1,X2) != ordered_pair(X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( X1 = X2
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| in(esk13_2(X1,X2),X2)
| esk12_2(X1,X2) != esk12_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( X1 = X2
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1)
| esk12_2(X1,X2) != esk12_2(esk1_0,esk2_0)
| esk13_2(X1,X2) != ordered_pair(X3,X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
fof(c_0_23,plain,
! [X5,X6,X7,X7,X9,X6,X11] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk3_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(esk4_2(X5,X6),X6)
| ~ in(ordered_pair(esk4_2(X5,X6),X11),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk4_2(X5,X6),X6)
| in(ordered_pair(esk4_2(X5,X6),esk5_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_1])])])])])])]) ).
cnf(c_0_24,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0)
| in(esk13_2(esk1_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0)
| esk13_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_17]) ).
cnf(c_0_26,plain,
( in(X3,X2)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(ordered_pair(X3,X4),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0)
| in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_24]),c_0_13])]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
relation_dom(esk1_0) = relation_dom(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(esk14_2(esk1_0,esk2_0),X1)
| X1 != relation_dom(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0)
| in(esk14_2(esk1_0,esk2_0),relation_dom(esk1_0)) ),
inference(er,[status(thm)],[c_0_29]) ).
fof(c_0_31,plain,
! [X4,X5,X6,X6,X5,X6,X6] :
( ( X6 != apply(X4,X5)
| in(ordered_pair(X5,X6),X4)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( ~ in(ordered_pair(X5,X6),X4)
| X6 = apply(X4,X5)
| ~ in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != apply(X4,X5)
| X6 = empty_set
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) )
& ( X6 != empty_set
| X6 = apply(X4,X5)
| in(X5,relation_dom(X4))
| ~ relation(X4)
| ~ function(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d4_funct_1])])])])])])]) ).
cnf(c_0_32,negated_conjecture,
( in(esk14_2(esk1_0,esk2_0),relation_dom(esk1_0))
| in(esk14_2(esk1_0,esk2_0),X1)
| X1 != relation_dom(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_30]),c_0_16])]) ).
cnf(c_0_33,plain,
( in(ordered_pair(X2,X3),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| X3 != apply(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
function(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
( apply(esk1_0,X1) = apply(esk2_0,X1)
| ~ in(X1,relation_dom(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,negated_conjecture,
in(esk14_2(esk1_0,esk2_0),relation_dom(esk1_0)),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
function(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( in(ordered_pair(X1,X2),esk2_0)
| X2 != apply(esk2_0,X1)
| ~ in(X1,relation_dom(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_13]),c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
apply(esk2_0,esk14_2(esk1_0,esk2_0)) = apply(esk1_0,esk14_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( X3 = apply(X1,X2)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X2,relation_dom(X1))
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),X1),esk1_0)
| X1 != apply(esk1_0,esk14_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_16]),c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
( in(ordered_pair(esk14_2(esk1_0,esk2_0),X1),esk2_0)
| X1 != apply(esk1_0,esk14_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_39]) ).
cnf(c_0_43,negated_conjecture,
in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_13]),c_0_34]),c_0_28])]),c_0_39]),c_0_36])]),c_0_41]) ).
cnf(c_0_44,negated_conjecture,
in(ordered_pair(esk14_2(esk1_0,esk2_0),apply(esk1_0,esk14_2(esk1_0,esk2_0))),esk2_0),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_45,negated_conjecture,
apply(esk1_0,esk14_2(esk1_0,esk2_0)) = esk15_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_16]),c_0_37]),c_0_36])]) ).
cnf(c_0_46,plain,
( X1 = X2
| in(esk12_2(X1,X2),X1)
| in(esk13_2(X1,X2),X2)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_47,negated_conjecture,
in(ordered_pair(esk14_2(esk1_0,esk2_0),esk15_2(esk1_0,esk2_0)),esk2_0),
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( X1 = X2
| in(esk12_2(X1,X2),X1)
| esk13_2(X1,X2) != ordered_pair(X3,X4)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_49,negated_conjecture,
( in(esk12_2(esk1_0,esk2_0),esk1_0)
| in(esk13_2(esk1_0,esk2_0),esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_43])]),c_0_17]) ).
cnf(c_0_50,negated_conjecture,
( in(esk12_2(esk1_0,esk2_0),esk1_0)
| esk13_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_43])]),c_0_17]) ).
cnf(c_0_51,plain,
( X1 = X2
| in(esk13_2(X1,X2),X2)
| esk12_2(X1,X2) != ordered_pair(X3,X4)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_52,negated_conjecture,
in(esk12_2(esk1_0,esk2_0),esk1_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_49]),c_0_13])]),c_0_50]) ).
fof(c_0_53,plain,
( ~ epred1_0
<=> ! [X2,X1] : esk12_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
introduced(definition) ).
cnf(c_0_54,negated_conjecture,
( in(esk13_2(esk1_0,esk2_0),esk2_0)
| esk12_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_43])]),c_0_17]) ).
cnf(c_0_55,negated_conjecture,
ordered_pair(esk9_2(esk1_0,esk12_2(esk1_0,esk2_0)),esk10_2(esk1_0,esk12_2(esk1_0,esk2_0))) = esk12_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_52]),c_0_16])]) ).
fof(c_0_56,plain,
( ~ epred2_0
<=> ! [X4,X3] : esk13_2(esk1_0,esk2_0) != ordered_pair(X3,X4) ),
introduced(definition) ).
cnf(c_0_57,plain,
( X1 = X2
| esk12_2(X1,X2) != ordered_pair(X3,X4)
| esk13_2(X1,X2) != ordered_pair(X5,X6)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X2)
| ~ in(ordered_pair(esk14_2(X1,X2),esk15_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_58,negated_conjecture,
( epred1_0
| esk12_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
inference(split_equiv,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
in(esk13_2(esk1_0,esk2_0),esk2_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_43])]),c_0_17]),c_0_53]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
epred1_0,
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( epred2_0
| esk13_2(esk1_0,esk2_0) != ordered_pair(X1,X2) ),
inference(split_equiv,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
ordered_pair(esk9_2(esk2_0,esk13_2(esk1_0,esk2_0)),esk10_2(esk2_0,esk13_2(esk1_0,esk2_0))) = esk13_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_59]),c_0_13])]) ).
cnf(c_0_64,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET990+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 11:43:01 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.25/4.44 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.25/4.44 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.25/4.44 # Preprocessing time : 0.017 s
% 0.25/4.44
% 0.25/4.44 # Proof found!
% 0.25/4.44 # SZS status Theorem
% 0.25/4.44 # SZS output start CNFRefutation
% See solution above
% 0.25/4.44 # Proof object total steps : 66
% 0.25/4.44 # Proof object clause steps : 53
% 0.25/4.44 # Proof object formula steps : 13
% 0.25/4.44 # Proof object conjectures : 43
% 0.25/4.44 # Proof object clause conjectures : 40
% 0.25/4.44 # Proof object formula conjectures : 3
% 0.25/4.44 # Proof object initial clauses used : 21
% 0.25/4.44 # Proof object initial formulas used : 5
% 0.25/4.44 # Proof object generating inferences : 30
% 0.25/4.44 # Proof object simplifying inferences : 56
% 0.25/4.44 # Training examples: 0 positive, 0 negative
% 0.25/4.44 # Parsed axioms : 37
% 0.25/4.44 # Removed by relevancy pruning/SinE : 16
% 0.25/4.44 # Initial clauses : 47
% 0.25/4.44 # Removed in clause preprocessing : 0
% 0.25/4.44 # Initial clauses in saturation : 47
% 0.25/4.44 # Processed clauses : 19731
% 0.25/4.44 # ...of these trivial : 3
% 0.25/4.44 # ...subsumed : 12767
% 0.25/4.44 # ...remaining for further processing : 6961
% 0.25/4.44 # Other redundant clauses eliminated : 0
% 0.25/4.44 # Clauses deleted for lack of memory : 0
% 0.25/4.44 # Backward-subsumed : 914
% 0.25/4.44 # Backward-rewritten : 110
% 0.25/4.44 # Generated clauses : 32167
% 0.25/4.44 # ...of the previous two non-trivial : 31894
% 0.25/4.44 # Contextual simplify-reflections : 10309
% 0.25/4.44 # Paramodulations : 30936
% 0.25/4.44 # Factorizations : 8
% 0.25/4.44 # Equation resolutions : 1220
% 0.25/4.44 # Current number of processed clauses : 5936
% 0.25/4.44 # Positive orientable unit clauses : 29
% 0.25/4.44 # Positive unorientable unit clauses: 0
% 0.25/4.44 # Negative unit clauses : 18
% 0.25/4.44 # Non-unit-clauses : 5889
% 0.25/4.44 # Current number of unprocessed clauses: 6878
% 0.25/4.44 # ...number of literals in the above : 27545
% 0.25/4.44 # Current number of archived formulas : 0
% 0.25/4.44 # Current number of archived clauses : 1024
% 0.25/4.44 # Clause-clause subsumption calls (NU) : 10072544
% 0.25/4.44 # Rec. Clause-clause subsumption calls : 1992604
% 0.25/4.44 # Non-unit clause-clause subsumptions : 23636
% 0.25/4.44 # Unit Clause-clause subsumption calls : 59294
% 0.25/4.44 # Rewrite failures with RHS unbound : 0
% 0.25/4.44 # BW rewrite match attempts : 540
% 0.25/4.44 # BW rewrite match successes : 12
% 0.25/4.44 # Condensation attempts : 0
% 0.25/4.44 # Condensation successes : 0
% 0.25/4.44 # Termbank termtop insertions : 1476156
% 0.25/4.44
% 0.25/4.44 # -------------------------------------------------
% 0.25/4.44 # User time : 3.618 s
% 0.25/4.44 # System time : 0.024 s
% 0.25/4.44 # Total time : 3.642 s
% 0.25/4.44 # Maximum resident set size: 26824 pages
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------