TSTP Solution File: CAT019-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : CAT019-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:30:05 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(equality_to_c1_and_c2_1,plain,
! [A] :
( ~ $equal(c2,A)
| $equal(c1,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),
[] ).
cnf(151951784,plain,
( ~ $equal(c2,A)
| $equal(c1,A) ),
inference(rewrite,[status(thm)],[equality_to_c1_and_c2_1]),
[] ).
cnf(160822600,plain,
$equal(c1,c2),
inference(equality_resolution,[status(thm)],[151951784]),
[] ).
fof(prove_c1_equals_c2,plain,
~ $equal(c1,c2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),
[] ).
cnf(151962088,plain,
~ $equal(c1,c2),
inference(rewrite,[status(thm)],[prove_c1_equals_c2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160822600,151962088]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(equality_to_c1_and_c2_1,plain,(~$equal(c2,A)|$equal(c1,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),[]).
%
% cnf(151951784,plain,(~$equal(c2,A)|$equal(c1,A)),inference(rewrite,[status(thm)],[equality_to_c1_and_c2_1]),[]).
%
% cnf(160822600,plain,($equal(c1,c2)),inference(equality_resolution,[status(thm)],[151951784]),[]).
%
% fof(prove_c1_equals_c2,plain,(~$equal(c1,c2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/CAT/CAT019-1.tptp',unknown),[]).
%
% cnf(151962088,plain,(~$equal(c1,c2)),inference(rewrite,[status(thm)],[prove_c1_equals_c2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160822600,151962088]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------