TSTP Solution File: GEO452+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO452+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n006.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Fri Jan 20 14:02:38 EST 2017
% Result : Theorem 91.78s
% Output : CNFRefutation 91.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 4 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn 24 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2032,axiom,
! [X43,X282,X10] :
( p(s(bool,i(s(fun(fun(cart(real,X282),cart(real,X43)),bool),linear),s(fun(cart(real,X282),cart(real,X43)),X10))))
=> ! [X4] : equal(s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),i(s(fun(cart(cart(real,X282),X43),fun(cart(real,X282),cart(real,X43))),matrixu_vectoru_mul),s(cart(cart(real,X282),X43),i(s(fun(fun(cart(real,X282),cart(real,X43)),cart(cart(real,X282),X43)),matrix),s(fun(cart(real,X282),cart(real,X43)),X10))))),s(cart(real,X282),X4))),s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),X10),s(cart(real,X282),X4)))) ),
file('/export/starexec/sandbox/tmp/tmpXo2_7r/sel_theBenchmark.p_2',aMATRIXu_WORKS) ).
fof(2079,conjecture,
! [X43,X282,X10] :
( p(s(bool,i(s(fun(fun(cart(real,X282),cart(real,X43)),bool),linear),s(fun(cart(real,X282),cart(real,X43)),X10))))
=> ! [X4] : equal(s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),X10),s(cart(real,X282),X4))),s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),i(s(fun(cart(cart(real,X282),X43),fun(cart(real,X282),cart(real,X43))),matrixu_vectoru_mul),s(cart(cart(real,X282),X43),i(s(fun(fun(cart(real,X282),cart(real,X43)),cart(cart(real,X282),X43)),matrix),s(fun(cart(real,X282),cart(real,X43)),X10))))),s(cart(real,X282),X4)))) ),
file('/export/starexec/sandbox/tmp/tmpXo2_7r/sel_theBenchmark.p_2',aMATRIXu_VECTORu_MUL) ).
fof(2448,negated_conjecture,
~ ! [X43,X282,X10] :
( p(s(bool,i(s(fun(fun(cart(real,X282),cart(real,X43)),bool),linear),s(fun(cart(real,X282),cart(real,X43)),X10))))
=> ! [X4] : equal(s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),X10),s(cart(real,X282),X4))),s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),i(s(fun(cart(cart(real,X282),X43),fun(cart(real,X282),cart(real,X43))),matrixu_vectoru_mul),s(cart(cart(real,X282),X43),i(s(fun(fun(cart(real,X282),cart(real,X43)),cart(cart(real,X282),X43)),matrix),s(fun(cart(real,X282),cart(real,X43)),X10))))),s(cart(real,X282),X4)))) ),
inference(assume_negation,[status(cth)],[2079]) ).
fof(13364,plain,
! [X43,X282,X10] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X282),cart(real,X43)),bool),linear),s(fun(cart(real,X282),cart(real,X43)),X10))))
| ! [X4] : equal(s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),i(s(fun(cart(cart(real,X282),X43),fun(cart(real,X282),cart(real,X43))),matrixu_vectoru_mul),s(cart(cart(real,X282),X43),i(s(fun(fun(cart(real,X282),cart(real,X43)),cart(cart(real,X282),X43)),matrix),s(fun(cart(real,X282),cart(real,X43)),X10))))),s(cart(real,X282),X4))),s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),X10),s(cart(real,X282),X4)))) ),
inference(fof_nnf,[status(thm)],[2032]) ).
fof(13365,plain,
! [X283,X284,X285] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X284),cart(real,X283)),bool),linear),s(fun(cart(real,X284),cart(real,X283)),X285))))
| ! [X286] : equal(s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),i(s(fun(cart(cart(real,X284),X283),fun(cart(real,X284),cart(real,X283))),matrixu_vectoru_mul),s(cart(cart(real,X284),X283),i(s(fun(fun(cart(real,X284),cart(real,X283)),cart(cart(real,X284),X283)),matrix),s(fun(cart(real,X284),cart(real,X283)),X285))))),s(cart(real,X284),X286))),s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),X285),s(cart(real,X284),X286)))) ),
inference(variable_rename,[status(thm)],[13364]) ).
fof(13366,plain,
! [X283,X284,X285,X286] :
( equal(s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),i(s(fun(cart(cart(real,X284),X283),fun(cart(real,X284),cart(real,X283))),matrixu_vectoru_mul),s(cart(cart(real,X284),X283),i(s(fun(fun(cart(real,X284),cart(real,X283)),cart(cart(real,X284),X283)),matrix),s(fun(cart(real,X284),cart(real,X283)),X285))))),s(cart(real,X284),X286))),s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),X285),s(cart(real,X284),X286))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X284),cart(real,X283)),bool),linear),s(fun(cart(real,X284),cart(real,X283)),X285)))) ),
inference(shift_quantors,[status(thm)],[13365]) ).
cnf(13367,plain,
( s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(real,X1),cart(real,X2))),matrixu_vectoru_mul),s(cart(cart(real,X1),X2),i(s(fun(fun(cart(real,X1),cart(real,X2)),cart(cart(real,X1),X2)),matrix),s(fun(cart(real,X1),cart(real,X2)),X3))))),s(cart(real,X1),X4))) = s(cart(real,X2),i(s(fun(cart(real,X1),cart(real,X2)),X3),s(cart(real,X1),X4)))
| ~ p(s(bool,i(s(fun(fun(cart(real,X1),cart(real,X2)),bool),linear),s(fun(cart(real,X1),cart(real,X2)),X3)))) ),
inference(split_conjunct,[status(thm)],[13366]) ).
fof(13541,negated_conjecture,
? [X43,X282,X10] :
( p(s(bool,i(s(fun(fun(cart(real,X282),cart(real,X43)),bool),linear),s(fun(cart(real,X282),cart(real,X43)),X10))))
& ? [X4] : ~ equal(s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),X10),s(cart(real,X282),X4))),s(cart(real,X43),i(s(fun(cart(real,X282),cart(real,X43)),i(s(fun(cart(cart(real,X282),X43),fun(cart(real,X282),cart(real,X43))),matrixu_vectoru_mul),s(cart(cart(real,X282),X43),i(s(fun(fun(cart(real,X282),cart(real,X43)),cart(cart(real,X282),X43)),matrix),s(fun(cart(real,X282),cart(real,X43)),X10))))),s(cart(real,X282),X4)))) ),
inference(fof_nnf,[status(thm)],[2448]) ).
fof(13542,negated_conjecture,
? [X283,X284,X285] :
( p(s(bool,i(s(fun(fun(cart(real,X284),cart(real,X283)),bool),linear),s(fun(cart(real,X284),cart(real,X283)),X285))))
& ? [X286] : ~ equal(s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),X285),s(cart(real,X284),X286))),s(cart(real,X283),i(s(fun(cart(real,X284),cart(real,X283)),i(s(fun(cart(cart(real,X284),X283),fun(cart(real,X284),cart(real,X283))),matrixu_vectoru_mul),s(cart(cart(real,X284),X283),i(s(fun(fun(cart(real,X284),cart(real,X283)),cart(cart(real,X284),X283)),matrix),s(fun(cart(real,X284),cart(real,X283)),X285))))),s(cart(real,X284),X286)))) ),
inference(variable_rename,[status(thm)],[13541]) ).
fof(13543,negated_conjecture,
( p(s(bool,i(s(fun(fun(cart(real,esk2157_0),cart(real,esk2156_0)),bool),linear),s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0))))
& ~ equal(s(cart(real,esk2156_0),i(s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0),s(cart(real,esk2157_0),esk2159_0))),s(cart(real,esk2156_0),i(s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),i(s(fun(cart(cart(real,esk2157_0),esk2156_0),fun(cart(real,esk2157_0),cart(real,esk2156_0))),matrixu_vectoru_mul),s(cart(cart(real,esk2157_0),esk2156_0),i(s(fun(fun(cart(real,esk2157_0),cart(real,esk2156_0)),cart(cart(real,esk2157_0),esk2156_0)),matrix),s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0))))),s(cart(real,esk2157_0),esk2159_0)))) ),
inference(skolemize,[status(esa)],[13542]) ).
cnf(13544,negated_conjecture,
s(cart(real,esk2156_0),i(s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0),s(cart(real,esk2157_0),esk2159_0))) != s(cart(real,esk2156_0),i(s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),i(s(fun(cart(cart(real,esk2157_0),esk2156_0),fun(cart(real,esk2157_0),cart(real,esk2156_0))),matrixu_vectoru_mul),s(cart(cart(real,esk2157_0),esk2156_0),i(s(fun(fun(cart(real,esk2157_0),cart(real,esk2156_0)),cart(cart(real,esk2157_0),esk2156_0)),matrix),s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0))))),s(cart(real,esk2157_0),esk2159_0))),
inference(split_conjunct,[status(thm)],[13543]) ).
cnf(13545,negated_conjecture,
p(s(bool,i(s(fun(fun(cart(real,esk2157_0),cart(real,esk2156_0)),bool),linear),s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0)))),
inference(split_conjunct,[status(thm)],[13543]) ).
cnf(1088146,negated_conjecture,
~ p(s(bool,i(s(fun(fun(cart(real,esk2157_0),cart(real,esk2156_0)),bool),linear),s(fun(cart(real,esk2157_0),cart(real,esk2156_0)),esk2158_0)))),
inference(spm,[status(thm)],[13544,13367,theory(equality)]) ).
cnf(1088774,negated_conjecture,
$false,
inference(rw,[status(thm)],[1088146,13545,theory(equality)]) ).
cnf(1088775,negated_conjecture,
$false,
inference(cn,[status(thm)],[1088774,theory(equality)]) ).
cnf(1088776,negated_conjecture,
$false,
1088775,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO452+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n006.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.75MB
% 0.03/0.23 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 20 10:43:02 CST 2017
% 0.03/0.23 % CPUTime :
% 0.06/0.43 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.43 --creating new selector for [GEO010+0.ax]
% 29.73/30.23 eprover: CPU time limit exceeded, terminating
% 91.78/92.72 -running prover on /export/starexec/sandbox/tmp/tmpXo2_7r/sel_theBenchmark.p_1 with time limit 29
% 91.78/92.72 -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/tmpXo2_7r/sel_theBenchmark.p_1']
% 91.78/92.72 -prover status ResourceOut
% 91.78/92.72 -running prover on /export/starexec/sandbox/tmp/tmpXo2_7r/sel_theBenchmark.p_2 with time limit 80
% 91.78/92.72 -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=80', '/export/starexec/sandbox/tmp/tmpXo2_7r/sel_theBenchmark.p_2']
% 91.78/92.72 -prover status Theorem
% 91.78/92.72 Problem theBenchmark.p solved in phase 1.
% 91.78/92.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.78/92.72 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 91.78/92.72 Solved 1 out of 1.
% 91.78/92.72 # Problem is unsatisfiable (or provable), constructing proof object
% 91.78/92.72 # SZS status Theorem
% 91.78/92.72 # SZS output start CNFRefutation.
% See solution above
% 91.78/92.74 # SZS output end CNFRefutation
%------------------------------------------------------------------------------