TSTP Solution File: NUM464+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM464+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n060.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 15:21:26 EST 2018
% Result : Theorem 0.15s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 77 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 33 ~; 30 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(14,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(X1,sz00)
| equal(X1,sz10)
| ( ~ equal(sz10,X1)
& sdtlseqdt0(sz10,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1',mLENTr) ).
fof(15,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1',mSortsC_01) ).
fof(16,conjecture,
( ~ equal(xm,sz00)
=> ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sz10,X1),xm) )
| sdtlseqdt0(sz10,xm) ) ),
file('/export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1',m__) ).
fof(17,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1',m__987) ).
fof(20,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1',mLERefl) ).
fof(29,negated_conjecture,
~ ( ~ equal(xm,sz00)
=> ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sz10,X1),xm) )
| sdtlseqdt0(sz10,xm) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(92,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| equal(X1,sz10)
| ( ~ equal(sz10,X1)
& sdtlseqdt0(sz10,X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(93,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| equal(X2,sz00)
| equal(X2,sz10)
| ( ~ equal(sz10,X2)
& sdtlseqdt0(sz10,X2) ) ),
inference(variable_rename,[status(thm)],[92]) ).
fof(94,plain,
! [X2] :
( ( ~ equal(sz10,X2)
| equal(X2,sz00)
| equal(X2,sz10)
| ~ aNaturalNumber0(X2) )
& ( sdtlseqdt0(sz10,X2)
| equal(X2,sz00)
| equal(X2,sz10)
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[93]) ).
cnf(95,plain,
( X1 = sz10
| X1 = sz00
| sdtlseqdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[94]) ).
cnf(98,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[15]) ).
fof(99,negated_conjecture,
( ~ equal(xm,sz00)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtpldt0(sz10,X1),xm) )
& ~ sdtlseqdt0(sz10,xm) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(100,negated_conjecture,
( ~ equal(xm,sz00)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sz10,X2),xm) )
& ~ sdtlseqdt0(sz10,xm) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,negated_conjecture,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sz10,X2),xm) )
& ~ sdtlseqdt0(sz10,xm)
& ~ equal(xm,sz00) ),
inference(shift_quantors,[status(thm)],[100]) ).
cnf(102,negated_conjecture,
xm != sz00,
inference(split_conjunct,[status(thm)],[101]) ).
cnf(103,negated_conjecture,
~ sdtlseqdt0(sz10,xm),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(106,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[17]) ).
fof(115,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(116,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[115]) ).
cnf(117,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[116]) ).
cnf(174,negated_conjecture,
( sz10 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[103,95,theory(equality)]) ).
cnf(175,negated_conjecture,
( sz10 = xm
| sz00 = xm
| $false ),
inference(rw,[status(thm)],[174,106,theory(equality)]) ).
cnf(176,negated_conjecture,
( sz10 = xm
| sz00 = xm ),
inference(cn,[status(thm)],[175,theory(equality)]) ).
cnf(177,negated_conjecture,
xm = sz10,
inference(sr,[status(thm)],[176,102,theory(equality)]) ).
cnf(638,negated_conjecture,
~ sdtlseqdt0(sz10,sz10),
inference(rw,[status(thm)],[103,177,theory(equality)]) ).
cnf(647,negated_conjecture,
~ aNaturalNumber0(sz10),
inference(spm,[status(thm)],[638,117,theory(equality)]) ).
cnf(649,negated_conjecture,
$false,
inference(rw,[status(thm)],[647,98,theory(equality)]) ).
cnf(650,negated_conjecture,
$false,
inference(cn,[status(thm)],[649,theory(equality)]) ).
cnf(651,negated_conjecture,
$false,
650,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM464+2 : 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 : n060.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 04:44:30 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.28 --creating new selector for []
% 0.15/0.84 -running prover on /export/starexec/sandbox2/tmp/tmpAt4m96/sel_theBenchmark.p_1 with time limit 29
% 0.15/0.84 -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/tmpAt4m96/sel_theBenchmark.p_1']
% 0.15/0.84 -prover status Theorem
% 0.15/0.84 Problem theBenchmark.p solved in phase 0.
% 0.15/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.84 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.84 Solved 1 out of 1.
% 0.15/0.84 # Problem is unsatisfiable (or provable), constructing proof object
% 0.15/0.84 # SZS status Theorem
% 0.15/0.84 # SZS output start CNFRefutation.
% See solution above
% 0.15/0.84 # SZS output end CNFRefutation
%------------------------------------------------------------------------------