TSTP Solution File: NUM504+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM504+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n047.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 15:21:35 EST 2018
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 15 unt; 0 def)
% Number of atoms : 146 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 151 ( 57 ~; 59 |; 30 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',mAddComm) ).
fof(20,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',m__1837) ).
fof(27,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',mLEAsym) ).
fof(38,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',mSortsB_02) ).
fof(41,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',mSortsB) ).
fof(45,axiom,
( aNaturalNumber0(xk)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
& equal(xk,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',m__2306) ).
fof(49,axiom,
( ~ equal(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm)) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ~ equal(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtasdt0(xp,xm),X1),sdtasdt0(xp,xk)) )
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1',m__2414) ).
fof(93,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(94,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[93]) ).
cnf(95,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(284,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(285,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[20]) ).
fof(318,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(319,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[318]) ).
cnf(320,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[319]) ).
fof(362,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(363,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[362]) ).
cnf(364,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[363]) ).
fof(378,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(379,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[378]) ).
cnf(380,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[379]) ).
cnf(397,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[45]) ).
fof(411,plain,
( ~ equal(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(sdtasdt0(xn,xm),X2),sdtasdt0(xp,xm)) )
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ~ equal(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(sdtasdt0(xp,xm),X3),sdtasdt0(xp,xk)) )
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(412,plain,
( ~ equal(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& aNaturalNumber0(esk14_0)
& equal(sdtpldt0(sdtasdt0(xn,xm),esk14_0),sdtasdt0(xp,xm))
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ~ equal(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& aNaturalNumber0(esk15_0)
& equal(sdtpldt0(sdtasdt0(xp,xm),esk15_0),sdtasdt0(xp,xk))
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(skolemize,[status(esa)],[411]) ).
cnf(413,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(split_conjunct,[status(thm)],[412]) ).
cnf(416,plain,
sdtasdt0(xp,xm) != sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[412]) ).
cnf(417,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(split_conjunct,[status(thm)],[412]) ).
cnf(418,plain,
sdtpldt0(sdtasdt0(xn,xm),esk14_0) = sdtasdt0(xp,xm),
inference(split_conjunct,[status(thm)],[412]) ).
cnf(419,plain,
aNaturalNumber0(esk14_0),
inference(split_conjunct,[status(thm)],[412]) ).
cnf(463,plain,
sdtpldt0(sdtasdt0(xp,xk),esk14_0) = sdtasdt0(xp,xm),
inference(rw,[status(thm)],[418,397,theory(equality)]) ).
cnf(465,plain,
sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)),
inference(rw,[status(thm)],[417,397,theory(equality)]) ).
cnf(504,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[364,397,theory(equality)]) ).
cnf(515,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[504,284,theory(equality)]) ).
cnf(516,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| $false
| $false ),
inference(rw,[status(thm)],[515,285,theory(equality)]) ).
cnf(517,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[516,theory(equality)]) ).
cnf(571,plain,
( sdtpldt0(esk14_0,sdtasdt0(xp,xk)) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(esk14_0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(spm,[status(thm)],[463,95,theory(equality)]) ).
cnf(587,plain,
( sdtpldt0(esk14_0,sdtasdt0(xp,xk)) = sdtasdt0(xp,xm)
| $false
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(rw,[status(thm)],[571,419,theory(equality)]) ).
cnf(588,plain,
( sdtpldt0(esk14_0,sdtasdt0(xp,xk)) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(cn,[status(thm)],[587,theory(equality)]) ).
cnf(819,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(spm,[status(thm)],[320,413,theory(equality)]) ).
cnf(836,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| $false
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(rw,[status(thm)],[819,465,theory(equality)]) ).
cnf(837,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(cn,[status(thm)],[836,theory(equality)]) ).
cnf(838,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(sr,[status(thm)],[837,416,theory(equality)]) ).
cnf(12257,plain,
( sdtpldt0(esk14_0,sdtasdt0(xp,xk)) = sdtasdt0(xp,xm)
| $false ),
inference(rw,[status(thm)],[588,517,theory(equality)]) ).
cnf(12258,plain,
sdtpldt0(esk14_0,sdtasdt0(xp,xk)) = sdtasdt0(xp,xm),
inference(cn,[status(thm)],[12257,theory(equality)]) ).
cnf(12260,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(esk14_0) ),
inference(spm,[status(thm)],[380,12258,theory(equality)]) ).
cnf(12273,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(esk14_0) ),
inference(rw,[status(thm)],[12260,517,theory(equality)]) ).
cnf(12274,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| $false
| $false ),
inference(rw,[status(thm)],[12273,419,theory(equality)]) ).
cnf(12275,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[12274,theory(equality)]) ).
cnf(12853,plain,
( $false
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(rw,[status(thm)],[838,12275,theory(equality)]) ).
cnf(12854,plain,
( $false
| $false ),
inference(rw,[status(thm)],[12853,517,theory(equality)]) ).
cnf(12855,plain,
$false,
inference(cn,[status(thm)],[12854,theory(equality)]) ).
cnf(12856,plain,
$false,
12855,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM504+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n047.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 06:10:15 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 0.31/0.63 -running prover on /export/starexec/sandbox2/tmp/tmpvbomeE/sel_theBenchmark.p_1 with time limit 29
% 0.31/0.63 -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/tmpvbomeE/sel_theBenchmark.p_1']
% 0.31/0.63 -prover status Theorem
% 0.31/0.63 Problem theBenchmark.p solved in phase 0.
% 0.31/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.63 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/0.63 Solved 1 out of 1.
% 0.31/0.63 # Problem is unsatisfiable (or provable), constructing proof object
% 0.31/0.63 # SZS status Theorem
% 0.31/0.63 # SZS output start CNFRefutation.
% See solution above
% 0.31/0.63 # SZS output end CNFRefutation
%------------------------------------------------------------------------------