%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN079+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 16:42:24 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel57_3,plain,
! [A,B,C] :
( ~ big_f(A,B)
| ~ big_f(B,C)
| big_f(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),
[] ).
cnf(141602416,plain,
( ~ big_f(A,B)
| ~ big_f(B,C)
| big_f(A,C) ),
inference(rewrite,[status(thm)],[pel57_3]),
[] ).
fof(pel57_2,plain,
big_f(f(b,c),f(a,c)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),
[] ).
cnf(141594456,plain,
big_f(f(b,c),f(a,c)),
inference(rewrite,[status(thm)],[pel57_2]),
[] ).
cnf(149438976,plain,
( ~ big_f(A,f(b,c))
| big_f(A,f(a,c)) ),
inference(resolution,[status(thm)],[141602416,141594456]),
[] ).
fof(pel57_1,plain,
big_f(f(a,b),f(b,c)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),
[] ).
cnf(141590448,plain,
big_f(f(a,b),f(b,c)),
inference(rewrite,[status(thm)],[pel57_1]),
[] ).
cnf(149448296,plain,
big_f(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[149438976,141590448]),
[] ).
fof(pel57,plain,
~ big_f(f(a,b),f(a,c)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),
[] ).
cnf(141613856,plain,
~ big_f(f(a,b),f(a,c)),
inference(rewrite,[status(thm)],[pel57]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[149448296,141613856]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel57_3,plain,(~big_f(A,B)|~big_f(B,C)|big_f(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),[]).
%
% cnf(141602416,plain,(~big_f(A,B)|~big_f(B,C)|big_f(A,C)),inference(rewrite,[status(thm)],[pel57_3]),[]).
%
% fof(pel57_2,plain,(big_f(f(b,c),f(a,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),[]).
%
% cnf(141594456,plain,(big_f(f(b,c),f(a,c))),inference(rewrite,[status(thm)],[pel57_2]),[]).
%
% cnf(149438976,plain,(~big_f(A,f(b,c))|big_f(A,f(a,c))),inference(resolution,[status(thm)],[141602416,141594456]),[]).
%
% fof(pel57_1,plain,(big_f(f(a,b),f(b,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),[]).
%
% cnf(141590448,plain,(big_f(f(a,b),f(b,c))),inference(rewrite,[status(thm)],[pel57_1]),[]).
%
% cnf(149448296,plain,(big_f(f(a,b),f(a,c))),inference(resolution,[status(thm)],[149438976,141590448]),[]).
%
% fof(pel57,plain,(~big_f(f(a,b),f(a,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN079+1.tptp',unknown),[]).
%
% cnf(141613856,plain,(~big_f(f(a,b),f(a,c))),inference(rewrite,[status(thm)],[pel57]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[149448296,141613856]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------