TSTP Solution File: NUM609+3 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM609+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n064.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:59 EST 2018
% Result : Theorem 0.73s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 96 ( 32 ~; 25 |; 35 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(19,conjecture,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xQ) )
| aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox2/tmp/tmpY4CazQ/sel_theBenchmark.p_1',m__) ).
fof(95,axiom,
( aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(xQ)) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
file('/export/starexec/sandbox2/tmp/tmpY4CazQ/sel_theBenchmark.p_1',m__5164) ).
fof(108,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xQ) )
| aSubsetOf0(xP,xQ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(234,negated_conjecture,
( ? [X1] :
( aElementOf0(X1,xP)
& ~ aElementOf0(X1,xQ) )
& ~ aSubsetOf0(xP,xQ) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(235,negated_conjecture,
( ? [X2] :
( aElementOf0(X2,xP)
& ~ aElementOf0(X2,xQ) )
& ~ aSubsetOf0(xP,xQ) ),
inference(variable_rename,[status(thm)],[234]) ).
fof(236,negated_conjecture,
( aElementOf0(esk8_0,xP)
& ~ aElementOf0(esk8_0,xQ)
& ~ aSubsetOf0(xP,xQ) ),
inference(skolemize,[status(esa)],[235]) ).
cnf(238,negated_conjecture,
~ aElementOf0(esk8_0,xQ),
inference(split_conjunct,[status(thm)],[236]) ).
cnf(239,negated_conjecture,
aElementOf0(esk8_0,xP),
inference(split_conjunct,[status(thm)],[236]) ).
fof(653,plain,
( aSet0(xP)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( ( ~ aElementOf0(X1,xP)
| ( aElement0(X1)
& aElementOf0(X1,xQ)
& ~ equal(X1,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| equal(X1,szmzizndt0(xQ))
| aElementOf0(X1,xP) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(654,plain,
( aSet0(xP)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& ! [X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) ) )
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(variable_rename,[status(thm)],[653]) ).
fof(655,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElement0(X3)
& aElementOf0(X3,xQ)
& ~ equal(X3,szmzizndt0(xQ)) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) )
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(shift_quantors,[status(thm)],[654]) ).
fof(656,plain,
! [X2,X3] :
( ( aElement0(X3)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(X3,xQ)
| ~ aElementOf0(X3,xP) )
& ( ~ equal(X3,szmzizndt0(xQ))
| ~ aElementOf0(X3,xP) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,xQ)
| equal(X3,szmzizndt0(xQ))
| aElementOf0(X3,xP) )
& ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X2) )
& aSet0(xP)
& equal(xP,sdtmndt0(xQ,szmzizndt0(xQ))) ),
inference(distribute,[status(thm)],[655]) ).
cnf(662,plain,
( aElementOf0(X1,xQ)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[656]) ).
cnf(5362,negated_conjecture,
aElementOf0(esk8_0,xQ),
inference(spm,[status(thm)],[662,239,theory(equality)]) ).
cnf(5363,negated_conjecture,
$false,
inference(sr,[status(thm)],[5362,238,theory(equality)]) ).
cnf(5364,negated_conjecture,
$false,
5363,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM609+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n064.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 10:35:14 CST 2018
% 0.02/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.73/0.95 -running prover on /export/starexec/sandbox2/tmp/tmpY4CazQ/sel_theBenchmark.p_1 with time limit 29
% 0.73/0.95 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpY4CazQ/sel_theBenchmark.p_1']
% 0.73/0.95 -prover status Theorem
% 0.73/0.95 Problem theBenchmark.p solved in phase 0.
% 0.73/0.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.95 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.95 Solved 1 out of 1.
% 0.73/0.95 # Problem is unsatisfiable (or provable), constructing proof object
% 0.73/0.95 # SZS status Theorem
% 0.73/0.95 # SZS output start CNFRefutation.
% See solution above
% 0.73/0.95 # SZS output end CNFRefutation
%------------------------------------------------------------------------------