TSTP Solution File: SYN336+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN336+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 17:50:00 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 : 8 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 6 ( 2 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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; 0-2 aty)
% Number of variables : 5 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_15_1,plain,
! [B,C] :
( big_f(x,z(B,C))
& big_f(B,z(B,C))
& big_f(C,z(B,C))
& big_f(B,x)
& ~ big_f(z(B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN336+1.tptp',unknown),
[] ).
cnf(161924672,plain,
big_f(B,x),
inference(rewrite,[status(thm)],[church_46_15_1]),
[] ).
cnf(161910832,plain,
~ big_f(z(B,C),C),
inference(rewrite,[status(thm)],[church_46_15_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[161924672,161910832]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_15_1,plain,((big_f(x,z(B,C))&big_f(B,z(B,C))&big_f(C,z(B,C))&big_f(B,x)&~big_f(z(B,C),C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN336+1.tptp',unknown),[]).
%
% cnf(161924672,plain,(big_f(B,x)),inference(rewrite,[status(thm)],[church_46_15_1]),[]).
%
% cnf(161910832,plain,(~big_f(z(B,C),C)),inference(rewrite,[status(thm)],[church_46_15_1]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[161924672,161910832]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------