TSTP Solution File: GEO443+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : GEO443+1 : TPTP v7.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n012.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 78.05s
% Output : CNFRefutation 78.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1894,conjecture,
! [X529,X4,X5] : equal(s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X4))),s(cart(real,X529),X5))))),s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X5))),s(cart(real,X529),X4)))))),
file('/export/starexec/sandbox/tmp/tmphkJVDW/sel_theBenchmark.p_2',aDISTu_SYM) ).
fof(1978,axiom,
! [X574,X4,X5] : equal(s(real,i(s(fun(cart(real,X574),real),vectoru_norm),s(cart(real,X574),i(s(fun(cart(real,X574),cart(real,X574)),i(s(fun(cart(real,X574),fun(cart(real,X574),cart(real,X574))),vectoru_sub),s(cart(real,X574),X4))),s(cart(real,X574),X5))))),s(real,i(s(fun(cart(real,X574),real),vectoru_norm),s(cart(real,X574),i(s(fun(cart(real,X574),cart(real,X574)),i(s(fun(cart(real,X574),fun(cart(real,X574),cart(real,X574))),vectoru_sub),s(cart(real,X574),X5))),s(cart(real,X574),X4)))))),
file('/export/starexec/sandbox/tmp/tmphkJVDW/sel_theBenchmark.p_2',aNORMu_SUB) ).
fof(1984,axiom,
! [X578,X4,X5] : equal(s(real,i(s(fun(prod(cart(real,X578),cart(real,X578)),real),distance),s(prod(cart(real,X578),cart(real,X578)),i(s(fun(cart(real,X578),prod(cart(real,X578),cart(real,X578))),i(s(fun(cart(real,X578),fun(cart(real,X578),prod(cart(real,X578),cart(real,X578)))),c_),s(cart(real,X578),X4))),s(cart(real,X578),X5))))),s(real,i(s(fun(cart(real,X578),real),vectoru_norm),s(cart(real,X578),i(s(fun(cart(real,X578),cart(real,X578)),i(s(fun(cart(real,X578),fun(cart(real,X578),cart(real,X578))),vectoru_sub),s(cart(real,X578),X4))),s(cart(real,X578),X5)))))),
file('/export/starexec/sandbox/tmp/tmphkJVDW/sel_theBenchmark.p_2',adist) ).
fof(2029,negated_conjecture,
~ ! [X529,X4,X5] : equal(s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X4))),s(cart(real,X529),X5))))),s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X5))),s(cart(real,X529),X4)))))),
inference(assume_negation,[status(cth)],[1894]) ).
fof(11764,negated_conjecture,
? [X529,X4,X5] : ~ equal(s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X4))),s(cart(real,X529),X5))))),s(real,i(s(fun(prod(cart(real,X529),cart(real,X529)),real),distance),s(prod(cart(real,X529),cart(real,X529)),i(s(fun(cart(real,X529),prod(cart(real,X529),cart(real,X529))),i(s(fun(cart(real,X529),fun(cart(real,X529),prod(cart(real,X529),cart(real,X529)))),c_),s(cart(real,X529),X5))),s(cart(real,X529),X4)))))),
inference(fof_nnf,[status(thm)],[2029]) ).
fof(11765,negated_conjecture,
? [X530,X531,X532] : ~ equal(s(real,i(s(fun(prod(cart(real,X530),cart(real,X530)),real),distance),s(prod(cart(real,X530),cart(real,X530)),i(s(fun(cart(real,X530),prod(cart(real,X530),cart(real,X530))),i(s(fun(cart(real,X530),fun(cart(real,X530),prod(cart(real,X530),cart(real,X530)))),c_),s(cart(real,X530),X531))),s(cart(real,X530),X532))))),s(real,i(s(fun(prod(cart(real,X530),cart(real,X530)),real),distance),s(prod(cart(real,X530),cart(real,X530)),i(s(fun(cart(real,X530),prod(cart(real,X530),cart(real,X530))),i(s(fun(cart(real,X530),fun(cart(real,X530),prod(cart(real,X530),cart(real,X530)))),c_),s(cart(real,X530),X532))),s(cart(real,X530),X531)))))),
inference(variable_rename,[status(thm)],[11764]) ).
fof(11766,negated_conjecture,
~ equal(s(real,i(s(fun(prod(cart(real,esk1890_0),cart(real,esk1890_0)),real),distance),s(prod(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0))),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0)))),c_),s(cart(real,esk1890_0),esk1891_0))),s(cart(real,esk1890_0),esk1892_0))))),s(real,i(s(fun(prod(cart(real,esk1890_0),cart(real,esk1890_0)),real),distance),s(prod(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0))),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0)))),c_),s(cart(real,esk1890_0),esk1892_0))),s(cart(real,esk1890_0),esk1891_0)))))),
inference(skolemize,[status(esa)],[11765]) ).
cnf(11767,negated_conjecture,
s(real,i(s(fun(prod(cart(real,esk1890_0),cart(real,esk1890_0)),real),distance),s(prod(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0))),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0)))),c_),s(cart(real,esk1890_0),esk1891_0))),s(cart(real,esk1890_0),esk1892_0))))) != s(real,i(s(fun(prod(cart(real,esk1890_0),cart(real,esk1890_0)),real),distance),s(prod(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0))),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0)))),c_),s(cart(real,esk1890_0),esk1892_0))),s(cart(real,esk1890_0),esk1891_0))))),
inference(split_conjunct,[status(thm)],[11766]) ).
fof(12058,plain,
! [X575,X576,X577] : equal(s(real,i(s(fun(cart(real,X575),real),vectoru_norm),s(cart(real,X575),i(s(fun(cart(real,X575),cart(real,X575)),i(s(fun(cart(real,X575),fun(cart(real,X575),cart(real,X575))),vectoru_sub),s(cart(real,X575),X576))),s(cart(real,X575),X577))))),s(real,i(s(fun(cart(real,X575),real),vectoru_norm),s(cart(real,X575),i(s(fun(cart(real,X575),cart(real,X575)),i(s(fun(cart(real,X575),fun(cart(real,X575),cart(real,X575))),vectoru_sub),s(cart(real,X575),X577))),s(cart(real,X575),X576)))))),
inference(variable_rename,[status(thm)],[1978]) ).
cnf(12059,plain,
s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X3))),s(cart(real,X1),X2))))),
inference(split_conjunct,[status(thm)],[12058]) ).
fof(12076,plain,
! [X579,X580,X581] : equal(s(real,i(s(fun(prod(cart(real,X579),cart(real,X579)),real),distance),s(prod(cart(real,X579),cart(real,X579)),i(s(fun(cart(real,X579),prod(cart(real,X579),cart(real,X579))),i(s(fun(cart(real,X579),fun(cart(real,X579),prod(cart(real,X579),cart(real,X579)))),c_),s(cart(real,X579),X580))),s(cart(real,X579),X581))))),s(real,i(s(fun(cart(real,X579),real),vectoru_norm),s(cart(real,X579),i(s(fun(cart(real,X579),cart(real,X579)),i(s(fun(cart(real,X579),fun(cart(real,X579),cart(real,X579))),vectoru_sub),s(cart(real,X579),X580))),s(cart(real,X579),X581)))))),
inference(variable_rename,[status(thm)],[1984]) ).
cnf(12077,plain,
s(real,i(s(fun(prod(cart(real,X1),cart(real,X1)),real),distance),s(prod(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),prod(cart(real,X1),cart(real,X1))),i(s(fun(cart(real,X1),fun(cart(real,X1),prod(cart(real,X1),cart(real,X1)))),c_),s(cart(real,X1),X2))),s(cart(real,X1),X3))))) = s(real,i(s(fun(cart(real,X1),real),vectoru_norm),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),
inference(split_conjunct,[status(thm)],[12076]) ).
cnf(976719,negated_conjecture,
s(real,i(s(fun(cart(real,esk1890_0),real),vectoru_norm),s(cart(real,esk1890_0),i(s(fun(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),cart(real,esk1890_0))),vectoru_sub),s(cart(real,esk1890_0),esk1892_0))),s(cart(real,esk1890_0),esk1891_0))))) != s(real,i(s(fun(prod(cart(real,esk1890_0),cart(real,esk1890_0)),real),distance),s(prod(cart(real,esk1890_0),cart(real,esk1890_0)),i(s(fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0))),i(s(fun(cart(real,esk1890_0),fun(cart(real,esk1890_0),prod(cart(real,esk1890_0),cart(real,esk1890_0)))),c_),s(cart(real,esk1890_0),esk1891_0))),s(cart(real,esk1890_0),esk1892_0))))),
inference(rw,[status(thm)],[11767,12077,theory(equality)]) ).
cnf(976720,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[976719,12077,theory(equality)]),12059,theory(equality)]) ).
cnf(976721,negated_conjecture,
$false,
inference(cn,[status(thm)],[976720,theory(equality)]) ).
cnf(976722,negated_conjecture,
$false,
976721,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO443+1 : TPTP v7.0.0. Released v7.0.0.
% 0.00/0.09 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.36 % Computer : n012.star.cs.uiowa.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.36 % Memory : 32218.75MB
% 0.02/0.36 % OS : Linux 3.10.0-327.36.3.el7.x86_64
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % DateTime : Fri Jan 20 10:36:47 CST 2017
% 0.02/0.36 % CPUTime :
% 0.02/0.40 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.41 --creating new selector for [GEO010+0.ax]
% 29.65/30.10 eprover: CPU time limit exceeded, terminating
% 78.05/80.39 -running prover on /export/starexec/sandbox/tmp/tmphkJVDW/sel_theBenchmark.p_1 with time limit 29
% 78.05/80.39 -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/tmphkJVDW/sel_theBenchmark.p_1']
% 78.05/80.39 -prover status ResourceOut
% 78.05/80.39 -running prover on /export/starexec/sandbox/tmp/tmphkJVDW/sel_theBenchmark.p_2 with time limit 80
% 78.05/80.39 -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/tmphkJVDW/sel_theBenchmark.p_2']
% 78.05/80.39 -prover status Theorem
% 78.05/80.39 Problem theBenchmark.p solved in phase 1.
% 78.05/80.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.05/80.39 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.05/80.39 Solved 1 out of 1.
% 78.05/80.39 # Problem is unsatisfiable (or provable), constructing proof object
% 78.05/80.39 # SZS status Theorem
% 78.05/80.39 # SZS output start CNFRefutation.
% See solution above
% 78.05/80.41 # SZS output end CNFRefutation
%------------------------------------------------------------------------------