TSTP Solution File: SYN338+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN338+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:50:07 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 3 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 4 ( 2 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 5 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_15_3,plain,
! [A,C] :
( big_f(A,y(A))
& big_f(C,A)
& ~ big_f(y(A),y(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN338+1.tptp',unknown),
[] ).
cnf(173500240,plain,
big_f(C,A),
inference(rewrite,[status(thm)],[church_46_15_3]),
[] ).
cnf(173486432,plain,
~ big_f(y(A),y(A)),
inference(rewrite,[status(thm)],[church_46_15_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[173500240,173486432]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(church_46_15_3,plain,((big_f(A,y(A))&big_f(C,A)&~big_f(y(A),y(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN338+1.tptp',unknown),[]).
%
% cnf(173500240,plain,(big_f(C,A)),inference(rewrite,[status(thm)],[church_46_15_3]),[]).
%
% cnf(173486432,plain,(~big_f(y(A),y(A))),inference(rewrite,[status(thm)],[church_46_15_3]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173500240,173486432]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------