%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN369+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 17:51:48 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 : 5 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 13 ( 5 ~; 5 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 4-4 aty)
% Number of variables : 13 ( 7 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2120,plain,
! [D,A,B,C] :
( ( ~ big_p(D,y(A,B,C,D))
| big_p(A,B) )
& ( big_p(B,C)
| big_p(A,B) )
& ( ~ big_p(D,y(A,B,C,D))
| ~ big_p(D,y(A,B,C,D)) )
& ( big_p(B,C)
| ~ big_p(D,y(A,B,C,D)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN369+1.tptp',unknown),
[] ).
cnf(165017120,plain,
~ big_p(D,y(A,B,C,D)),
inference(rewrite,[status(thm)],[x2120]),
[] ).
cnf(165021592,plain,
( big_p(B,C)
| big_p(A,B) ),
inference(rewrite,[status(thm)],[x2120]),
[] ).
cnf(178020616,plain,
big_p(A,B),
inference(resolution,[status(thm)],[165021592,165017120]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165017120,178020616]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2120,plain,(((~big_p(D,y(A,B,C,D))|big_p(A,B))&(big_p(B,C)|big_p(A,B))&(~big_p(D,y(A,B,C,D))|~big_p(D,y(A,B,C,D)))&(big_p(B,C)|~big_p(D,y(A,B,C,D))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN369+1.tptp',unknown),[]).
%
% cnf(165017120,plain,(~big_p(D,y(A,B,C,D))),inference(rewrite,[status(thm)],[x2120]),[]).
%
% cnf(165021592,plain,(big_p(B,C)|big_p(A,B)),inference(rewrite,[status(thm)],[x2120]),[]).
%
% cnf(178020616,plain,(big_p(A,B)),inference(resolution,[status(thm)],[165021592,165017120]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165017120,178020616]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------