TSTP Solution File: SYN333+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN333+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 17:49:52 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 ( 3 unt; 0 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 256 ( 44 avg)
% Number of connectives : 362 ( 102 ~; 197 |; 63 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 10 ( 4 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_14_5,plain,
! [A,B] :
( ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_g(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| big_f(A,B) )
& ( big_g(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_g(A,B)
| big_f(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_g(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_g(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_g(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_g(A,B)
| big_g(A,B)
| big_f(A,B)
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_g(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_g(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_g(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( ~ big_g(A,z(A,B))
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_g(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| big_f(A,B) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| ~ big_g(z(A,B),z(A,B))
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_f(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_g(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_g(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_g(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_g(A,B)
| big_f(A,B)
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_f(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( ~ big_g(A,z(A,B))
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_f(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) )
& ( big_g(A,B)
| big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN333+1.tptp',unknown),
[] ).
cnf(145238888,plain,
big_f(A,B),
inference(rewrite,[status(thm)],[church_46_14_5]),
[] ).
cnf(145185672,plain,
( big_g(A,B)
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[church_46_14_5]),
[] ).
cnf(173960576,plain,
big_g(A,B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145238888,145185672,145238888]),
[] ).
cnf(145204928,plain,
( ~ big_g(A,z(A,B))
| ~ big_g(z(A,B),z(A,B))
| ~ big_f(z(A,B),z(A,B))
| ~ big_f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[church_46_14_5]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[145238888,173960576,145204928,145238888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_14_5,plain,(((big_f(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(~big_g(A,z(A,B))|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_g(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|big_f(A,B))&(~big_g(A,z(A,B))|~big_g(z(A,B),z(A,B))|big_f(A,B)|big_f(A,B))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|big_f(A,B))&(big_g(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(~big_g(A,z(A,B))|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_g(A,B)|big_f(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_g(A,B)|big_f(A,B)|big_f(A,B))&(~big_g(A,z(A,B))|big_g(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_g(A,B)|big_f(A,B)|big_f(A,B))&(big_g(A,B)|big_g(A,B)|big_f(A,B)|big_f(A,B))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(~big_g(A,z(A,B))|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_g(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|big_f(A,B))&(~big_g(A,z(A,B))|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_g(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(~big_g(A,z(A,B))|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_g(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(~big_g(A,z(A,B))|big_g(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_g(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|big_f(A,B))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_g(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|~big_g(z(A,B),z(A,B))|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|~big_f(B,z(A,B)))&(big_g(A,B)|~big_g(z(A,B),z(A,B))|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_g(A,B)|big_f(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_g(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_g(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_g(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_g(A,B)|big_g(A,B)|big_f(A,B)|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_g(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_g(A,B)|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_g(A,B)|big_f(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(~big_g(A,z(A,B))|big_g(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_f(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B)))&(big_g(A,B)|big_g(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN333+1.tptp',unknown),[]).
%
% cnf(145238888,plain,(big_f(A,B)),inference(rewrite,[status(thm)],[church_46_14_5]),[]).
%
% cnf(145185672,plain,(big_g(A,B)|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B))),inference(rewrite,[status(thm)],[church_46_14_5]),[]).
%
% cnf(173960576,plain,(big_g(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145238888,145185672,145238888]),[]).
%
% cnf(145204928,plain,(~big_g(A,z(A,B))|~big_g(z(A,B),z(A,B))|~big_f(z(A,B),z(A,B))|~big_f(B,z(A,B))),inference(rewrite,[status(thm)],[church_46_14_5]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[145238888,173960576,145204928,145238888]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------