TSTP Solution File: NUM624+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM624+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n100.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 15:22:02 EST 2018
% Result : Theorem 22.14s
% Output : CNFRefutation 22.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 102 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 33 ~; 32 |; 24 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(19,conjecture,
equal(xp,xx),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__) ).
fof(23,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',mLessASymm) ).
fof(26,axiom,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5147) ).
fof(66,axiom,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5106) ).
fof(95,axiom,
( aElement0(xx)
& aElementOf0(xx,xQ)
& ~ equal(xx,szmzizndt0(xQ))
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5348) ).
fof(104,axiom,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5481) ).
fof(106,axiom,
( aElementOf0(xx,szNzAzT0)
& ? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X1),xx) ) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5365) ).
fof(116,axiom,
! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,X1) ),
file('/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1',m__5401) ).
fof(122,negated_conjecture,
~ equal(xp,xx),
inference(assume_negation,[status(cth)],[19]) ).
fof(124,negated_conjecture,
~ equal(xp,xx),
inference(fof_simplification,[status(thm)],[122,theory(equality)]) ).
cnf(249,negated_conjecture,
xp != xx,
inference(split_conjunct,[status(thm)],[124]) ).
fof(269,plain,
! [X1,X2] :
( ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(270,plain,
! [X3,X4] :
( ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[269]) ).
cnf(271,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[270]) ).
fof(295,plain,
( aElementOf0(xp,xQ)
& ! [X1] :
( ~ aElementOf0(X1,xQ)
| sdtlseqdt0(xp,X1) )
& equal(xp,szmzizndt0(xQ)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(296,plain,
( aElementOf0(xp,xQ)
& ! [X2] :
( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& equal(xp,szmzizndt0(xQ)) ),
inference(variable_rename,[status(thm)],[295]) ).
fof(297,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| sdtlseqdt0(xp,X2) )
& aElementOf0(xp,xQ)
& equal(xp,szmzizndt0(xQ)) ),
inference(shift_quantors,[status(thm)],[296]) ).
cnf(299,plain,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[297]) ).
cnf(300,plain,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[297]) ).
fof(511,plain,
( ! [X1] :
( ~ aElementOf0(X1,xQ)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(512,plain,
( ! [X2] :
( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(variable_rename,[status(thm)],[511]) ).
fof(513,plain,
! [X2] :
( ( ~ aElementOf0(X2,xQ)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[512]) ).
cnf(515,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[513]) ).
cnf(666,plain,
aElementOf0(xx,xQ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(701,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[104]) ).
fof(713,plain,
( aElementOf0(xx,szNzAzT0)
& ? [X2] :
( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,X2),xx) ) ),
inference(variable_rename,[status(thm)],[106]) ).
fof(714,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(esk32_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& equal(sdtlpdtrp0(xe,esk32_0),xx) ),
inference(skolemize,[status(esa)],[713]) ).
cnf(717,plain,
aElementOf0(xx,szNzAzT0),
inference(split_conjunct,[status(thm)],[714]) ).
fof(4742,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X1) ),
inference(fof_nnf,[status(thm)],[116]) ).
fof(4743,plain,
! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X2) ),
inference(variable_rename,[status(thm)],[4742]) ).
cnf(4744,plain,
( sdtlseqdt0(xx,X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xm)) ),
inference(split_conjunct,[status(thm)],[4743]) ).
cnf(5504,plain,
sdtlseqdt0(xp,xx),
inference(spm,[status(thm)],[300,666,theory(equality)]) ).
cnf(5533,plain,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[515,299,theory(equality)]) ).
cnf(5807,plain,
sdtlseqdt0(xx,xp),
inference(spm,[status(thm)],[4744,701,theory(equality)]) ).
cnf(6672,plain,
( X1 = xx
| ~ sdtlseqdt0(xx,X1)
| ~ sdtlseqdt0(X1,xx)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[271,717,theory(equality)]) ).
cnf(275644,plain,
( xp = xx
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(spm,[status(thm)],[6672,5807,theory(equality)]) ).
cnf(275653,plain,
( xp = xx
| $false
| ~ aElementOf0(xp,szNzAzT0) ),
inference(rw,[status(thm)],[275644,5504,theory(equality)]) ).
cnf(275654,plain,
( xp = xx
| $false
| $false ),
inference(rw,[status(thm)],[275653,5533,theory(equality)]) ).
cnf(275655,plain,
xp = xx,
inference(cn,[status(thm)],[275654,theory(equality)]) ).
cnf(275656,plain,
$false,
inference(sr,[status(thm)],[275655,249,theory(equality)]) ).
cnf(275657,plain,
$false,
275656,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM624+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n100.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 11:00:00 CST 2018
% 0.02/0.22 % CPUTime :
% 0.05/0.26 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.27 --creating new selector for []
% 22.14/22.47 -running prover on /export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1 with time limit 29
% 22.14/22.47 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpC9qpXD/sel_theBenchmark.p_1']
% 22.14/22.47 -prover status Theorem
% 22.14/22.47 Problem theBenchmark.p solved in phase 0.
% 22.14/22.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.14/22.47 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.14/22.47 Solved 1 out of 1.
% 22.14/22.47 # Problem is unsatisfiable (or provable), constructing proof object
% 22.14/22.47 # SZS status Theorem
% 22.14/22.47 # SZS output start CNFRefutation.
% See solution above
% 22.14/22.47 # SZS output end CNFRefutation
%------------------------------------------------------------------------------