%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN325+1 : TPTP v3.4.2. Released v2.0.0.
% 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 : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 30 ( 11 ~; 11 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 5 ( 1 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_9_2,plain,
! [A] :
( ( ~ big_g(y(A))
| big_f(A,A) )
& ( big_f(A,y(A))
| big_f(A,A) )
& ( big_g(A)
| big_f(A,A) )
& ( ~ big_g(y(A))
| ~ big_f(y(A),y(A)) )
& ( big_f(A,y(A))
| ~ big_f(y(A),y(A)) )
& ( big_g(A)
| ~ big_f(y(A),y(A)) )
& ( ~ big_g(y(A))
| ~ big_g(y(A)) )
& ( big_f(A,y(A))
| ~ big_g(y(A)) )
& ( big_g(A)
| ~ big_g(y(A)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325+1.tptp',unknown),
[] ).
cnf(146616640,plain,
( big_g(A)
| big_f(A,A) ),
inference(rewrite,[status(thm)],[church_46_9_2]),
[] ).
cnf(146602656,plain,
~ big_g(y(A)),
inference(rewrite,[status(thm)],[church_46_9_2]),
[] ).
cnf(170083864,plain,
big_f(y(A),y(A)),
inference(resolution,[status(thm)],[146616640,146602656]),
[] ).
cnf(146607136,plain,
( big_g(A)
| ~ big_f(y(A),y(A)) ),
inference(rewrite,[status(thm)],[church_46_9_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[170083864,146607136,146602656]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_9_2,plain,(((~big_g(y(A))|big_f(A,A))&(big_f(A,y(A))|big_f(A,A))&(big_g(A)|big_f(A,A))&(~big_g(y(A))|~big_f(y(A),y(A)))&(big_f(A,y(A))|~big_f(y(A),y(A)))&(big_g(A)|~big_f(y(A),y(A)))&(~big_g(y(A))|~big_g(y(A)))&(big_f(A,y(A))|~big_g(y(A)))&(big_g(A)|~big_g(y(A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN325+1.tptp',unknown),[]).
%
% cnf(146616640,plain,(big_g(A)|big_f(A,A)),inference(rewrite,[status(thm)],[church_46_9_2]),[]).
%
% cnf(146602656,plain,(~big_g(y(A))),inference(rewrite,[status(thm)],[church_46_9_2]),[]).
%
% cnf(170083864,plain,(big_f(y(A),y(A))),inference(resolution,[status(thm)],[146616640,146602656]),[]).
%
% cnf(146607136,plain,(big_g(A)|~big_f(y(A),y(A))),inference(rewrite,[status(thm)],[church_46_9_2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170083864,146607136,146602656]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------