TSTP Solution File: NUM852+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM852+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n091.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 15:22:30 EST 2018
% Result : Theorem 0.59s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 34 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : equal(vmul(X1,vplus(X2,X3)),vplus(vmul(X1,X2),vmul(X1,X3))),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','ass(cond(281, 0), 0)') ).
fof(4,axiom,
! [X8,X9] : greater(vplus(X8,X9),X8),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','ass(cond(189, 0), 0)') ).
fof(5,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof(10,axiom,
! [X18,X19] : equal(vmul(X18,X19),vmul(X19,X18)),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','ass(cond(270, 0), 0)') ).
fof(12,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof(33,axiom,
! [X69,X70] :
( greater(X69,X70)
=> equal(X69,vplus(X70,vskolem9(X69,X70))) ),
file('/export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1','ass(cond(302, 0), 3)') ).
fof(42,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(assume_negation,[status(cth)],[5]) ).
fof(43,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(45,plain,
! [X4,X5,X6] : equal(vmul(X4,vplus(X5,X6)),vplus(vmul(X4,X5),vmul(X4,X6))),
inference(variable_rename,[status(thm)],[1]) ).
cnf(46,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[45]) ).
fof(52,plain,
! [X10,X11] : greater(vplus(X10,X11),X10),
inference(variable_rename,[status(thm)],[4]) ).
cnf(53,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(54,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(split_conjunct,[status(thm)],[43]) ).
fof(65,plain,
! [X20,X21] : equal(vmul(X20,X21),vmul(X21,X20)),
inference(variable_rename,[status(thm)],[10]) ).
cnf(66,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(71,plain,
greater(vd481,vd480),
inference(split_conjunct,[status(thm)],[12]) ).
fof(132,plain,
! [X69,X70] :
( ~ greater(X69,X70)
| equal(X69,vplus(X70,vskolem9(X69,X70))) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(133,plain,
! [X71,X72] :
( ~ greater(X71,X72)
| equal(X71,vplus(X72,vskolem9(X71,X72))) ),
inference(variable_rename,[status(thm)],[132]) ).
cnf(134,plain,
( X1 = vplus(X2,vskolem9(X1,X2))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(335,plain,
greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(spm,[status(thm)],[53,46,theory(equality)]) ).
cnf(8062,plain,
( greater(vmul(X1,X3),vmul(X1,X2))
| ~ greater(X3,X2) ),
inference(spm,[status(thm)],[335,134,theory(equality)]) ).
cnf(32476,plain,
( greater(vmul(X2,X1),vmul(X1,X3))
| ~ greater(X2,X3) ),
inference(spm,[status(thm)],[8062,66,theory(equality)]) ).
cnf(34359,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
inference(spm,[status(thm)],[32476,66,theory(equality)]) ).
cnf(39840,negated_conjecture,
~ greater(vd481,vd480),
inference(spm,[status(thm)],[54,34359,theory(equality)]) ).
cnf(39877,negated_conjecture,
$false,
inference(rw,[status(thm)],[39840,71,theory(equality)]) ).
cnf(39878,negated_conjecture,
$false,
inference(cn,[status(thm)],[39877,theory(equality)]) ).
cnf(39879,negated_conjecture,
$false,
39878,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM852+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n091.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 14:53:04 CST 2018
% 0.03/0.24 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.59/0.97 -running prover on /export/starexec/sandbox2/tmp/tmpzBgSvI/sel_theBenchmark.p_1 with time limit 29
% 0.59/0.97 -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/tmpzBgSvI/sel_theBenchmark.p_1']
% 0.59/0.97 -prover status Theorem
% 0.59/0.97 Problem theBenchmark.p solved in phase 0.
% 0.59/0.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.97 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.97 Solved 1 out of 1.
% 0.59/0.97 # Problem is unsatisfiable (or provable), constructing proof object
% 0.59/0.97 # SZS status Theorem
% 0.59/0.97 # SZS output start CNFRefutation.
% See solution above
% 0.59/0.97 # SZS output end CNFRefutation
%------------------------------------------------------------------------------