TSTP Solution File: SWV132+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV132+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 12:16:54 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 38 ( 10 avg)
% Number of connectives : 237 ( 65 ~; 46 |; 73 &)
% ( 0 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(54,conjecture,
( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_best7,n3) ),
file('/tmp/tmprojeuG/sel_SWV132+1.p_1',gauss_array_0002) ).
fof(57,negated_conjecture,
~ ( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_best7,n3) ),
inference(assume_negation,[status(cth)],[54]) ).
fof(59,negated_conjecture,
~ ( ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(s_best7,n3) ),
inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).
fof(60,plain,
( epred1_0
=> ( ~ leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) ) ),
introduced(definition) ).
fof(61,negated_conjecture,
~ ( epred1_0
=> leq(s_best7,n3) ),
inference(apply_def,[status(esa)],[59,60,theory(equality)]) ).
fof(159,negated_conjecture,
( epred1_0
& ~ leq(s_best7,n3) ),
inference(fof_nnf,[status(thm)],[61]) ).
cnf(160,negated_conjecture,
~ leq(s_best7,n3),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(161,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[159]) ).
fof(164,plain,
( ~ epred1_0
| ( ~ leq(tptp_float_0_001,pv1341)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_best7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_best7) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3) ) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(165,plain,
( ( ~ leq(tptp_float_0_001,pv1341)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_best7)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3)
| ~ epred1_0 )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_best7)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3)
| ~ epred1_0 )
& ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[164]) ).
cnf(174,plain,
( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(178,plain,
( ~ epred1_0
| ~ leq(tptp_float_0_001,pv1341) ),
inference(split_conjunct,[status(thm)],[165]) ).
cnf(201,plain,
( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3)
| $false ),
inference(rw,[status(thm)],[174,161,theory(equality)]) ).
cnf(202,plain,
( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) ),
inference(cn,[status(thm)],[201,theory(equality)]) ).
cnf(203,plain,
leq(tptp_float_0_001,pv1341),
inference(sr,[status(thm)],[202,160,theory(equality)]) ).
cnf(204,plain,
( $false
| ~ leq(tptp_float_0_001,pv1341) ),
inference(rw,[status(thm)],[178,161,theory(equality)]) ).
cnf(205,plain,
( $false
| $false ),
inference(rw,[status(thm)],[204,203,theory(equality)]) ).
cnf(206,plain,
$false,
inference(cn,[status(thm)],[205,theory(equality)]) ).
cnf(207,plain,
$false,
206,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV132+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmprojeuG/sel_SWV132+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV132+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV132+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV132+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
%
%------------------------------------------------------------------------------