TSTP Solution File: NUM838+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM838+2 : TPTP v7.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n050.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 15:22:28 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 23 unt; 0 def)
% Number of atoms : 31 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 5 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : equal(vplus(vplus(X1,X2),X3),vplus(X1,vplus(X2,X3))),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','ass(cond(33, 0), 0)') ).
fof(2,axiom,
greater(vd301,vd302),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','holds(antec(195), 304, 0)') ).
fof(4,axiom,
! [X6,X7,X8] :
( greater(X7,X8)
=> equal(X7,vplus(X8,vskolem7(X7,X8))) ),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','ass(cond(proof(196), 0), 9)') ).
fof(5,axiom,
! [X9,X10] : equal(vplus(X10,X9),vplus(X9,X10)),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','ass(cond(61, 0), 0)') ).
fof(7,axiom,
! [X14,X15] : greater(vplus(X14,X15),X14),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','ass(cond(189, 0), 0)') ).
fof(12,conjecture,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('/export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1','holds(conseq(195), 305, 0)') ).
fof(15,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(assume_negation,[status(cth)],[12]) ).
fof(17,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(18,plain,
! [X4,X5,X6] : equal(vplus(vplus(X4,X5),X6),vplus(X4,vplus(X5,X6))),
inference(variable_rename,[status(thm)],[1]) ).
cnf(19,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,plain,
greater(vd301,vd302),
inference(split_conjunct,[status(thm)],[2]) ).
fof(23,plain,
! [X6,X7,X8] :
( ~ greater(X7,X8)
| equal(X7,vplus(X8,vskolem7(X7,X8))) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(24,plain,
! [X9,X10,X11] :
( ~ greater(X10,X11)
| equal(X10,vplus(X11,vskolem7(X10,X11))) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(25,plain,
( X1 = vplus(X2,vskolem7(X1,X2))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X11,X12] : equal(vplus(X12,X11),vplus(X11,X12)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(27,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[26]) ).
fof(32,plain,
! [X16,X17] : greater(vplus(X16,X17),X16),
inference(variable_rename,[status(thm)],[7]) ).
cnf(33,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(45,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(63,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(spm,[status(thm)],[33,19,theory(equality)]) ).
cnf(78,plain,
vplus(vd302,vskolem7(vd301,vd302)) = vd301,
inference(spm,[status(thm)],[25,20,theory(equality)]) ).
cnf(94,plain,
vplus(vd301,X1) = vplus(vd302,vplus(vskolem7(vd301,vd302),X1)),
inference(spm,[status(thm)],[19,78,theory(equality)]) ).
cnf(466,plain,
vplus(vd302,vplus(X1,vskolem7(vd301,vd302))) = vplus(vd301,X1),
inference(spm,[status(thm)],[94,27,theory(equality)]) ).
cnf(1338,plain,
greater(vplus(vd301,X1),vplus(vd302,X1)),
inference(spm,[status(thm)],[63,466,theory(equality)]) ).
cnf(7774,negated_conjecture,
$false,
inference(rw,[status(thm)],[45,1338,theory(equality)]) ).
cnf(7775,negated_conjecture,
$false,
inference(cn,[status(thm)],[7774,theory(equality)]) ).
cnf(7776,negated_conjecture,
$false,
7775,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM838+2 : TPTP v7.0.0. Released v4.1.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n050.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 15:14:19 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.27 --creating new selector for []
% 0.07/0.44 -running prover on /export/starexec/sandbox/tmp/tmpWQ8BCW/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.44 -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/tmpWQ8BCW/sel_theBenchmark.p_1']
% 0.07/0.44 -prover status Theorem
% 0.07/0.44 Problem theBenchmark.p solved in phase 0.
% 0.07/0.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.44 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.44 Solved 1 out of 1.
% 0.07/0.44 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.44 # SZS status Theorem
% 0.07/0.44 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.44 # SZS output end CNFRefutation
%------------------------------------------------------------------------------