TSTP Solution File: SYN047+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN047+1 : TPTP v5.0.0. Released v2.0.0.
% 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 13:09:55 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 203 ( 0 equ)
% Maximal formula atoms : 114 ( 10 avg)
% Number of connectives : 275 ( 92 ~; 129 |; 45 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
file('/tmp/tmp3Zjcix/sel_SYN047+1.p_1',pel17) ).
fof(2,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
~ ( ( ( p
& ( q
=> r ) )
=> s )
<=> ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(4,negated_conjecture,
( ( ( p
& ( ~ q
| r )
& ~ s )
| ( p
& ~ q
& ~ s )
| ( p
& r
& ~ s ) )
& ( ~ p
| ( q
& ~ r )
| s
| ( ( ~ p
| q
| s )
& ( ~ p
| ~ r
| s ) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(5,negated_conjecture,
( ( p
| p
| p )
& ( r
| p
| p )
& ( ~ s
| p
| p )
& ( p
| ~ q
| p )
& ( r
| ~ q
| p )
& ( ~ s
| ~ q
| p )
& ( p
| ~ s
| p )
& ( r
| ~ s
| p )
& ( ~ s
| ~ s
| p )
& ( p
| p
| ~ q
| r )
& ( r
| p
| ~ q
| r )
& ( ~ s
| p
| ~ q
| r )
& ( p
| ~ q
| ~ q
| r )
& ( r
| ~ q
| ~ q
| r )
& ( ~ s
| ~ q
| ~ q
| r )
& ( p
| ~ s
| ~ q
| r )
& ( r
| ~ s
| ~ q
| r )
& ( ~ s
| ~ s
| ~ q
| r )
& ( p
| p
| ~ s )
& ( r
| p
| ~ s )
& ( ~ s
| p
| ~ s )
& ( p
| ~ q
| ~ s )
& ( r
| ~ q
| ~ s )
& ( ~ s
| ~ q
| ~ s )
& ( p
| ~ s
| ~ s )
& ( r
| ~ s
| ~ s )
& ( ~ s
| ~ s
| ~ s )
& ( ~ p
| q
| s
| q
| ~ p
| s )
& ( ~ p
| ~ r
| s
| q
| ~ p
| s )
& ( ~ p
| q
| s
| ~ r
| ~ p
| s )
& ( ~ p
| ~ r
| s
| ~ r
| ~ p
| s ) ),
inference(distribute,[status(thm)],[4]) ).
cnf(6,negated_conjecture,
( s
| s
| ~ p
| ~ r
| ~ r
| ~ p ),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(9,negated_conjecture,
( s
| q
| s
| q
| ~ p
| ~ p ),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(10,negated_conjecture,
( ~ s
| ~ s
| ~ s ),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(23,negated_conjecture,
( r
| r
| ~ q
| ~ q ),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(36,negated_conjecture,
( p
| p
| p ),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(51,negated_conjecture,
( q
| s
| $false ),
inference(rw,[status(thm)],[9,36,theory(equality)]) ).
cnf(52,negated_conjecture,
( q
| s ),
inference(cn,[status(thm)],[51,theory(equality)]) ).
cnf(53,negated_conjecture,
q,
inference(sr,[status(thm)],[52,10,theory(equality)]) ).
cnf(54,negated_conjecture,
( r
| $false ),
inference(rw,[status(thm)],[23,53,theory(equality)]) ).
cnf(55,negated_conjecture,
r,
inference(cn,[status(thm)],[54,theory(equality)]) ).
cnf(70,negated_conjecture,
( s
| $false
| ~ r ),
inference(rw,[status(thm)],[6,36,theory(equality)]) ).
cnf(71,negated_conjecture,
( s
| ~ r ),
inference(cn,[status(thm)],[70,theory(equality)]) ).
cnf(72,negated_conjecture,
~ r,
inference(sr,[status(thm)],[71,10,theory(equality)]) ).
cnf(85,negated_conjecture,
$false,
inference(sr,[status(thm)],[55,72,theory(equality)]) ).
cnf(86,negated_conjecture,
$false,
85,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN047+1.p
% --creating new selector for []
% -running prover on /tmp/tmp3Zjcix/sel_SYN047+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN047+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN047+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN047+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
%
%------------------------------------------------------------------------------