TSTP Solution File: SYN341-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN341-1 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 17:50:20 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 8 ( 1 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause1,plain,
! [A,B] : f(A,y2(A),B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN341-1.tptp',unknown),
[] ).
cnf(142074056,plain,
f(A,y2(A),B),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(clause2,plain,
! [A,B] : ~ f(y2(A),B,y4(A,B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN341-1.tptp',unknown),
[] ).
cnf(142078808,plain,
~ f(y2(A),B,y4(A,B)),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[142074056,142078808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause1,plain,(f(A,y2(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN341-1.tptp',unknown),[]).
%
% cnf(142074056,plain,(f(A,y2(A),B)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(clause2,plain,(~f(y2(A),B,y4(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN341-1.tptp',unknown),[]).
%
% cnf(142078808,plain,(~f(y2(A),B,y4(A,B))),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[142074056,142078808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------