TSTP Solution File: SYN325-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN325-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:49:18 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 7 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause2,plain,
! [A] :
( f(A,A)
| g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),
[] ).
cnf(165351432,plain,
( f(A,A)
| g(A) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause5,plain,
! [A] : ~ g(y(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),
[] ).
cnf(165366912,plain,
~ g(y(A)),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(183584776,plain,
f(y(A),y(A)),
inference(resolution,[status(thm)],[165351432,165366912]),
[] ).
fof(clause4,plain,
! [A] :
( ~ f(y(A),y(A))
| g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),
[] ).
cnf(165362480,plain,
( ~ f(y(A),y(A))
| g(A) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[183584776,165362480,165366912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause2,plain,(f(A,A)|g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),[]).
%
% cnf(165351432,plain,(f(A,A)|g(A)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause5,plain,(~g(y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),[]).
%
% cnf(165366912,plain,(~g(y(A))),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(183584776,plain,(f(y(A),y(A))),inference(resolution,[status(thm)],[165351432,165366912]),[]).
%
% fof(clause4,plain,(~f(y(A),y(A))|g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325-1.tptp',unknown),[]).
%
% cnf(165362480,plain,(~f(y(A),y(A))|g(A)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[183584776,165362480,165366912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------