TSTP Solution File: SWV064+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV064+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 12:01:08 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 120 ( 36 ~; 54 |; 28 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(20,axiom,
! [X1] : leq(X1,X1),
file('/tmp/tmpq9Tq_r/sel_SWV064+1.p_1',reflexivity_leq) ).
fof(39,conjecture,
( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) ) ),
file('/tmp/tmpq9Tq_r/sel_SWV064+1.p_1',cl5_nebula_array_0005) ).
fof(69,negated_conjecture,
~ ( ( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) )
=> ( leq(n0,n0)
& leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1)) ) ),
inference(assume_negation,[status(cth)],[39]) ).
fof(115,plain,
! [X2] : leq(X2,X2),
inference(variable_rename,[status(thm)],[20]) ).
cnf(116,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[115]) ).
fof(149,negated_conjecture,
( leq(n0,pv10)
& leq(n0,pv53)
& leq(n0,pv54)
& leq(pv10,minus(n135300,n1))
& leq(pv53,minus(n5,n1))
& leq(pv54,minus(n5,n1))
& ( ~ leq(n0,n0)
| ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(n0,pv54)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
cnf(150,negated_conjecture,
( ~ leq(pv54,minus(n5,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(n0,pv54)
| ~ leq(n0,pv53)
| ~ leq(n0,pv10)
| ~ leq(n0,n0) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,negated_conjecture,
leq(pv54,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(152,negated_conjecture,
leq(pv53,minus(n5,n1)),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(153,negated_conjecture,
leq(pv10,minus(n135300,n1)),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(154,negated_conjecture,
leq(n0,pv54),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(155,negated_conjecture,
leq(n0,pv53),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(156,negated_conjecture,
leq(n0,pv10),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(456,negated_conjecture,
( $false
| ~ leq(n0,pv10)
| ~ leq(n0,pv53)
| ~ leq(n0,pv54)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[150,116,theory(equality)]) ).
cnf(457,negated_conjecture,
( $false
| $false
| ~ leq(n0,pv53)
| ~ leq(n0,pv54)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[456,156,theory(equality)]) ).
cnf(458,negated_conjecture,
( $false
| $false
| $false
| ~ leq(n0,pv54)
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[457,155,theory(equality)]) ).
cnf(459,negated_conjecture,
( $false
| $false
| $false
| $false
| ~ leq(pv10,minus(n135300,n1))
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[458,154,theory(equality)]) ).
cnf(460,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| ~ leq(pv53,minus(n5,n1))
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[459,153,theory(equality)]) ).
cnf(461,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| ~ leq(pv54,minus(n5,n1)) ),
inference(rw,[status(thm)],[460,152,theory(equality)]) ).
cnf(462,negated_conjecture,
( $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[461,151,theory(equality)]) ).
cnf(463,negated_conjecture,
$false,
inference(cn,[status(thm)],[462,theory(equality)]) ).
cnf(464,negated_conjecture,
$false,
463,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV064+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpq9Tq_r/sel_SWV064+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV064+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV064+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV064+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------