%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN371+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 17:51:53 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 : 21 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 27 ( 10 ~; 9 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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; 3-3 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2122,plain,
! [C,A,B] :
( ( big_r(C,C)
| ~ big_r(A,A) )
& ( ~ big_r(v(A,B,C),v(A,B,C))
| ~ big_r(A,A) )
& ( big_r(B,B)
| ~ big_r(A,A) )
& ( big_r(C,C)
| big_r(C,C) )
& ( ~ big_r(v(A,B,C),v(A,B,C))
| big_r(C,C) )
& ( big_r(B,B)
| big_r(C,C) )
& ( big_r(C,C)
| ~ big_r(v(A,B,C),v(A,B,C)) )
& ( ~ big_r(v(A,B,C),v(A,B,C))
| ~ big_r(v(A,B,C),v(A,B,C)) )
& ( big_r(B,B)
| ~ big_r(v(A,B,C),v(A,B,C)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN371+1.tptp',unknown),
[] ).
cnf(156346776,plain,
big_r(C,C),
inference(rewrite,[status(thm)],[x2122]),
[] ).
cnf(156338352,plain,
~ big_r(v(A,B,C),v(A,B,C)),
inference(rewrite,[status(thm)],[x2122]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[156346776,156338352]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(x2122,plain,(((big_r(C,C)|~big_r(A,A))&(~big_r(v(A,B,C),v(A,B,C))|~big_r(A,A))&(big_r(B,B)|~big_r(A,A))&(big_r(C,C)|big_r(C,C))&(~big_r(v(A,B,C),v(A,B,C))|big_r(C,C))&(big_r(B,B)|big_r(C,C))&(big_r(C,C)|~big_r(v(A,B,C),v(A,B,C)))&(~big_r(v(A,B,C),v(A,B,C))|~big_r(v(A,B,C),v(A,B,C)))&(big_r(B,B)|~big_r(v(A,B,C),v(A,B,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN371+1.tptp',unknown),[]).
%
% cnf(156346776,plain,(big_r(C,C)),inference(rewrite,[status(thm)],[x2122]),[]).
%
% cnf(156338352,plain,(~big_r(v(A,B,C),v(A,B,C))),inference(rewrite,[status(thm)],[x2122]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156346776,156338352]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------