%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN363+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:51:33 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 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 29 ( 11 ~; 10 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 12 ( 6 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2114,plain,
! [D,A,B,C] :
( ( ~ big_r(D,v(A,B,C,D))
| big_r(a,B) )
& ( ~ big_r(B,C)
| big_r(a,B) )
& ( big_r(A,b)
| big_r(a,B) )
& ( ~ big_r(D,v(A,B,C,D))
| big_r(A,b) )
& ( ~ big_r(B,C)
| big_r(A,b) )
& ( big_r(A,b)
| big_r(A,b) )
& ( ~ big_r(D,v(A,B,C,D))
| ~ big_r(D,v(A,B,C,D)) )
& ( ~ big_r(B,C)
| ~ big_r(D,v(A,B,C,D)) )
& ( big_r(A,b)
| ~ big_r(D,v(A,B,C,D)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN363+1.tptp',unknown),
[] ).
cnf(170367680,plain,
( ~ big_r(B,C)
| big_r(a,B) ),
inference(rewrite,[status(thm)],[x2114]),
[] ).
cnf(170357824,plain,
big_r(A,b),
inference(rewrite,[status(thm)],[x2114]),
[] ).
cnf(188634048,plain,
big_r(a,B),
inference(resolution,[status(thm)],[170367680,170357824]),
[] ).
cnf(170354160,plain,
~ big_r(D,v(A,B,C,D)),
inference(rewrite,[status(thm)],[x2114]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[188634048,170354160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2114,plain,(((~big_r(D,v(A,B,C,D))|big_r(a,B))&(~big_r(B,C)|big_r(a,B))&(big_r(A,b)|big_r(a,B))&(~big_r(D,v(A,B,C,D))|big_r(A,b))&(~big_r(B,C)|big_r(A,b))&(big_r(A,b)|big_r(A,b))&(~big_r(D,v(A,B,C,D))|~big_r(D,v(A,B,C,D)))&(~big_r(B,C)|~big_r(D,v(A,B,C,D)))&(big_r(A,b)|~big_r(D,v(A,B,C,D))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN363+1.tptp',unknown),[]).
%
% cnf(170367680,plain,(~big_r(B,C)|big_r(a,B)),inference(rewrite,[status(thm)],[x2114]),[]).
%
% cnf(170357824,plain,(big_r(A,b)),inference(rewrite,[status(thm)],[x2114]),[]).
%
% cnf(188634048,plain,(big_r(a,B)),inference(resolution,[status(thm)],[170367680,170357824]),[]).
%
% cnf(170354160,plain,(~big_r(D,v(A,B,C,D))),inference(rewrite,[status(thm)],[x2114]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[188634048,170354160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------