TSTP Solution File: NUM855+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM855+1 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n070.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 15:22:31 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 24 unt; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 17 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(8,axiom,
! [X11,X12] : equal(vplus(X12,X11),vplus(X11,X12)),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','ass(cond(61, 0), 0)') ).
fof(12,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','holds(conseq_conjunct2(315), 516, 0)') ).
fof(13,axiom,
! [X21,X22] : equal(vmul(X21,X22),vmul(X22,X21)),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','ass(cond(270, 0), 0)') ).
fof(18,axiom,
greater(vd511,vd512),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','holds(conjunct2(314), 513, 0)') ).
fof(20,axiom,
! [X34,X35,X36] :
( greater(vplus(X34,X36),vplus(X35,X36))
=> greater(X34,X35) ),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','ass(cond(goal(202), 0), 2)') ).
fof(26,axiom,
! [X49,X50,X51] :
( greater(X50,X51)
=> greater(vmul(X50,X49),vmul(X51,X49)) ),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','ass(cond(299, 0), 2)') ).
fof(29,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','holds(conjunct1(315), 514, 0)') ).
fof(35,axiom,
! [X71,X72,X73,X74] :
( ( greater(X73,X74)
& greater(X71,X72) )
=> greater(vplus(X71,X73),vplus(X72,X74)) ),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','ass(cond(209, 0), 0)') ).
fof(45,axiom,
equal(vmul(vd509,vd511),vmul(vd511,vd509)),
file('/export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1','holds(conjunct2(315), 515, 0)') ).
fof(46,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(assume_negation,[status(cth)],[12]) ).
fof(47,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(63,plain,
! [X13,X14] : equal(vplus(X14,X13),vplus(X13,X14)),
inference(variable_rename,[status(thm)],[8]) ).
cnf(64,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[63]) ).
cnf(74,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(split_conjunct,[status(thm)],[47]) ).
fof(75,plain,
! [X23,X24] : equal(vmul(X23,X24),vmul(X24,X23)),
inference(variable_rename,[status(thm)],[13]) ).
cnf(76,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[75]) ).
cnf(89,plain,
greater(vd511,vd512),
inference(split_conjunct,[status(thm)],[18]) ).
fof(96,plain,
! [X34,X35,X36] :
( ~ greater(vplus(X34,X36),vplus(X35,X36))
| greater(X34,X35) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(97,plain,
! [X37,X38,X39] :
( ~ greater(vplus(X37,X39),vplus(X38,X39))
| greater(X37,X38) ),
inference(variable_rename,[status(thm)],[96]) ).
cnf(98,plain,
( greater(X1,X2)
| ~ greater(vplus(X1,X3),vplus(X2,X3)) ),
inference(split_conjunct,[status(thm)],[97]) ).
fof(112,plain,
! [X49,X50,X51] :
( ~ greater(X50,X51)
| greater(vmul(X50,X49),vmul(X51,X49)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(113,plain,
! [X52,X53,X54] :
( ~ greater(X53,X54)
| greater(vmul(X53,X52),vmul(X54,X52)) ),
inference(variable_rename,[status(thm)],[112]) ).
cnf(114,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[113]) ).
cnf(120,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(split_conjunct,[status(thm)],[29]) ).
fof(139,plain,
! [X71,X72,X73,X74] :
( ~ greater(X73,X74)
| ~ greater(X71,X72)
| greater(vplus(X71,X73),vplus(X72,X74)) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(140,plain,
! [X75,X76,X77,X78] :
( ~ greater(X77,X78)
| ~ greater(X75,X76)
| greater(vplus(X75,X77),vplus(X76,X78)) ),
inference(variable_rename,[status(thm)],[139]) ).
cnf(141,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X1,X3)
| ~ greater(X2,X4) ),
inference(split_conjunct,[status(thm)],[140]) ).
cnf(167,plain,
vmul(vd509,vd511) = vmul(vd511,vd509),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(178,plain,
greater(vmul(vd508,vd511),vmul(vd511,vd509)),
inference(rw,[status(thm)],[120,167,theory(equality)]) ).
cnf(185,plain,
greater(vmul(vd511,vd508),vmul(vd511,vd509)),
inference(rw,[status(thm)],[178,76,theory(equality)]) ).
cnf(204,negated_conjecture,
~ greater(vmul(vd511,vd508),vmul(vd509,vd512)),
inference(rw,[status(thm)],[74,76,theory(equality)]) ).
cnf(223,plain,
( greater(vmul(X1,X2),vmul(X2,X3))
| ~ greater(X1,X3) ),
inference(spm,[status(thm)],[114,76,theory(equality)]) ).
cnf(276,plain,
( greater(X1,X2)
| ~ greater(vplus(X3,X1),vplus(X2,X3)) ),
inference(spm,[status(thm)],[98,64,theory(equality)]) ).
cnf(1974,plain,
( greater(X1,X2)
| ~ greater(X1,X3)
| ~ greater(X3,X2) ),
inference(spm,[status(thm)],[276,141,theory(equality)]) ).
cnf(2006,plain,
( greater(vmul(vd511,vd508),X1)
| ~ greater(vmul(vd511,vd509),X1) ),
inference(spm,[status(thm)],[1974,185,theory(equality)]) ).
cnf(2110,negated_conjecture,
~ greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(spm,[status(thm)],[204,2006,theory(equality)]) ).
cnf(3695,negated_conjecture,
~ greater(vd511,vd512),
inference(spm,[status(thm)],[2110,223,theory(equality)]) ).
cnf(3697,negated_conjecture,
$false,
inference(rw,[status(thm)],[3695,89,theory(equality)]) ).
cnf(3698,negated_conjecture,
$false,
inference(cn,[status(thm)],[3697,theory(equality)]) ).
cnf(3699,negated_conjecture,
$false,
3698,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM855+1 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n070.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 : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 14:56:33 CST 2018
% 0.06/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.39 -running prover on /export/starexec/sandbox2/tmp/tmp6z3P22/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.39 -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/tmp6z3P22/sel_theBenchmark.p_1']
% 0.06/0.39 -prover status Theorem
% 0.06/0.39 Problem theBenchmark.p solved in phase 0.
% 0.06/0.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.39 Solved 1 out of 1.
% 0.06/0.39 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.39 # SZS status Theorem
% 0.06/0.39 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.39 # SZS output end CNFRefutation
%------------------------------------------------------------------------------