%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN073+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:41:08 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 : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 9 ( 4 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel50,plain,
! [C,A,B] :
( ( ~ big_f(C,y1(A,B,C))
| big_f(a,A) )
& ( big_f(A,B)
| big_f(a,A) )
& ( ~ big_f(C,y1(A,B,C))
| ~ big_f(C,y1(A,B,C)) )
& ( big_f(A,B)
| ~ big_f(C,y1(A,B,C)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN073+1.tptp',unknown),
[] ).
cnf(160242680,plain,
~ big_f(C,y1(A,B,C)),
inference(rewrite,[status(thm)],[pel50]),
[] ).
cnf(160247168,plain,
( big_f(A,B)
| big_f(a,A) ),
inference(rewrite,[status(thm)],[pel50]),
[] ).
cnf(173250296,plain,
big_f(a,A),
inference(resolution,[status(thm)],[160247168,160242680]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160242680,173250296]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(pel50,plain,(((~big_f(C,y1(A,B,C))|big_f(a,A))&(big_f(A,B)|big_f(a,A))&(~big_f(C,y1(A,B,C))|~big_f(C,y1(A,B,C)))&(big_f(A,B)|~big_f(C,y1(A,B,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN073+1.tptp',unknown),[]).
%
% cnf(160242680,plain,(~big_f(C,y1(A,B,C))),inference(rewrite,[status(thm)],[pel50]),[]).
%
% cnf(160247168,plain,(big_f(A,B)|big_f(a,A)),inference(rewrite,[status(thm)],[pel50]),[]).
%
% cnf(173250296,plain,(big_f(a,A)),inference(resolution,[status(thm)],[160247168,160242680]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160242680,173250296]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------