TSTP Solution File: SYN071-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN071-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:41:00 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_3,plain,
~ $equal(d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),
[] ).
cnf(156278968,plain,
~ $equal(d,a),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
fof(clause_1,plain,
( $equal(b,a)
| $equal(d,c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),
[] ).
cnf(156268904,plain,
( $equal(b,a)
| $equal(d,c) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(166669384,plain,
( ~ $equal(d,b)
| $equal(d,c) ),
inference(paramodulation,[status(thm)],[156278968,156268904,theory(equality)]),
[] ).
fof(clause_2,plain,
( $equal(c,a)
| $equal(d,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),
[] ).
cnf(156274616,plain,
( $equal(c,a)
| $equal(d,b) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(166692936,plain,
( $equal(d,c)
| $equal(c,a) ),
inference(resolution,[status(thm)],[166669384,156274616]),
[] ).
cnf(166711112,plain,
( $equal(d,c)
| $equal(b,c) ),
inference(paramodulation,[status(thm)],[166692936,156268904,theory(equality)]),
[] ).
fof(clause_4,plain,
~ $equal(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),
[] ).
cnf(156282840,plain,
~ $equal(c,b),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(166724840,plain,
$equal(d,c),
inference(paramodulation,[status(thm)],[166711112,156282840,theory(equality)]),
[] ).
cnf(166679744,plain,
( ~ $equal(d,c)
| $equal(d,b) ),
inference(paramodulation,[status(thm)],[156278968,156274616,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166724840,166679744,156282840,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_3,plain,(~$equal(d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),[]).
%
% cnf(156278968,plain,(~$equal(d,a)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% fof(clause_1,plain,($equal(b,a)|$equal(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),[]).
%
% cnf(156268904,plain,($equal(b,a)|$equal(d,c)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(166669384,plain,(~$equal(d,b)|$equal(d,c)),inference(paramodulation,[status(thm)],[156278968,156268904,theory(equality)]),[]).
%
% fof(clause_2,plain,($equal(c,a)|$equal(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),[]).
%
% cnf(156274616,plain,($equal(c,a)|$equal(d,b)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(166692936,plain,($equal(d,c)|$equal(c,a)),inference(resolution,[status(thm)],[166669384,156274616]),[]).
%
% cnf(166711112,plain,($equal(d,c)|$equal(b,c)),inference(paramodulation,[status(thm)],[166692936,156268904,theory(equality)]),[]).
%
% fof(clause_4,plain,(~$equal(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN071-1.tptp',unknown),[]).
%
% cnf(156282840,plain,(~$equal(c,b)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(166724840,plain,($equal(d,c)),inference(paramodulation,[status(thm)],[166711112,156282840,theory(equality)]),[]).
%
% cnf(166679744,plain,(~$equal(d,c)|$equal(d,b)),inference(paramodulation,[status(thm)],[156278968,156274616,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166724840,166679744,156282840,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------