%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN080+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 16:42:29 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 7 ( 5 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel58,plain,
~ $equal(f(g(y)),f(f(x))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN080+1.tptp',unknown),
[] ).
cnf(164872528,plain,
~ $equal(f(g(y)),f(f(x))),
inference(rewrite,[status(thm)],[pel58]),
[] ).
fof(pel58_1,plain,
! [B,A] : $equal(g(B),f(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN080+1.tptp',unknown),
[] ).
cnf(164827544,plain,
$equal(g(B),f(A)),
inference(rewrite,[status(thm)],[pel58_1]),
[] ).
cnf(172658160,plain,
~ $equal(f(g(y)),g(A)),
inference(paramodulation,[status(thm)],[164872528,164827544,theory(equality)]),
[] ).
cnf(172702048,plain,
~ $equal(g(B),g(A)),
inference(paramodulation,[status(thm)],[172658160,164827544,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(equality_resolution,[status(thm)],[172702048]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel58,plain,(~$equal(f(g(y)),f(f(x)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN080+1.tptp',unknown),[]).
%
% cnf(164872528,plain,(~$equal(f(g(y)),f(f(x)))),inference(rewrite,[status(thm)],[pel58]),[]).
%
% fof(pel58_1,plain,($equal(g(B),f(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN080+1.tptp',unknown),[]).
%
% cnf(164827544,plain,($equal(g(B),f(A))),inference(rewrite,[status(thm)],[pel58_1]),[]).
%
% cnf(172658160,plain,(~$equal(f(g(y)),g(A))),inference(paramodulation,[status(thm)],[164872528,164827544,theory(equality)]),[]).
%
% cnf(172702048,plain,(~$equal(g(B),g(A))),inference(paramodulation,[status(thm)],[172658160,164827544,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(equality_resolution,[status(thm)],[172702048]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------