TSTP Solution File: SYN327+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN327+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:49:30 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 2 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 144 ( 25 avg)
% Number of connectives : 215 ( 68 ~; 100 |; 47 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 52 ( 11 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; 0-1 aty)
% Number of variables : 5 ( 1 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_12_2,plain,
! [B] :
( ( big_f(B,x)
| big_f(B,x)
| big_f(B,x) )
& ( ~ big_f(z(B),B)
| big_f(B,x)
| big_f(B,x) )
& ( ~ big_f(x,z(B))
| big_f(B,x)
| big_f(B,x) )
& ( big_f(x,B)
| big_f(B,x)
| big_f(B,x) )
& ( big_f(B,x)
| ~ big_f(B,x)
| big_f(B,x) )
& ( ~ big_f(z(B),B)
| ~ big_f(B,x)
| big_f(B,x) )
& ( ~ big_f(x,z(B))
| ~ big_f(B,x)
| big_f(B,x) )
& ( big_f(x,B)
| ~ big_f(B,x)
| big_f(B,x) )
& ( big_f(B,x)
| ~ big_f(x,z(B))
| big_f(B,x) )
& ( ~ big_f(z(B),B)
| ~ big_f(x,z(B))
| big_f(B,x) )
& ( ~ big_f(x,z(B))
| ~ big_f(x,z(B))
| big_f(B,x) )
& ( big_f(x,B)
| ~ big_f(x,z(B))
| big_f(B,x) )
& ( big_f(B,x)
| big_f(x,B)
| big_f(B,x) )
& ( ~ big_f(z(B),B)
| big_f(x,B)
| big_f(B,x) )
& ( ~ big_f(x,z(B))
| big_f(x,B)
| big_f(B,x) )
& ( big_f(x,B)
| big_f(x,B)
| big_f(B,x) )
& ( big_f(B,x)
| big_f(B,x)
| big_f(x,z(B)) )
& ( ~ big_f(z(B),B)
| big_f(B,x)
| big_f(x,z(B)) )
& ( ~ big_f(x,z(B))
| big_f(B,x)
| big_f(x,z(B)) )
& ( big_f(x,B)
| big_f(B,x)
| big_f(x,z(B)) )
& ( big_f(B,x)
| ~ big_f(B,x)
| big_f(x,z(B)) )
& ( ~ big_f(z(B),B)
| ~ big_f(B,x)
| big_f(x,z(B)) )
& ( ~ big_f(x,z(B))
| ~ big_f(B,x)
| big_f(x,z(B)) )
& ( big_f(x,B)
| ~ big_f(B,x)
| big_f(x,z(B)) )
& ( big_f(B,x)
| ~ big_f(x,z(B))
| big_f(x,z(B)) )
& ( ~ big_f(z(B),B)
| ~ big_f(x,z(B))
| big_f(x,z(B)) )
& ( ~ big_f(x,z(B))
| ~ big_f(x,z(B))
| big_f(x,z(B)) )
& ( big_f(x,B)
| ~ big_f(x,z(B))
| big_f(x,z(B)) )
& ( big_f(B,x)
| big_f(x,B)
| big_f(x,z(B)) )
& ( ~ big_f(z(B),B)
| big_f(x,B)
| big_f(x,z(B)) )
& ( ~ big_f(x,z(B))
| big_f(x,B)
| big_f(x,z(B)) )
& ( big_f(x,B)
| big_f(x,B)
| big_f(x,z(B)) )
& ( big_f(B,x)
| big_f(B,x)
| ~ big_f(x,B) )
& ( ~ big_f(z(B),B)
| big_f(B,x)
| ~ big_f(x,B) )
& ( ~ big_f(x,z(B))
| big_f(B,x)
| ~ big_f(x,B) )
& ( big_f(x,B)
| big_f(B,x)
| ~ big_f(x,B) )
& ( big_f(B,x)
| ~ big_f(B,x)
| ~ big_f(x,B) )
& ( ~ big_f(z(B),B)
| ~ big_f(B,x)
| ~ big_f(x,B) )
& ( ~ big_f(x,z(B))
| ~ big_f(B,x)
| ~ big_f(x,B) )
& ( big_f(x,B)
| ~ big_f(B,x)
| ~ big_f(x,B) )
& ( big_f(B,x)
| ~ big_f(x,z(B))
| ~ big_f(x,B) )
& ( ~ big_f(z(B),B)
| ~ big_f(x,z(B))
| ~ big_f(x,B) )
& ( ~ big_f(x,z(B))
| ~ big_f(x,z(B))
| ~ big_f(x,B) )
& ( big_f(x,B)
| ~ big_f(x,z(B))
| ~ big_f(x,B) )
& ( big_f(B,x)
| big_f(x,B)
| ~ big_f(x,B) )
& ( ~ big_f(z(B),B)
| big_f(x,B)
| ~ big_f(x,B) )
& ( ~ big_f(x,z(B))
| big_f(x,B)
| ~ big_f(x,B) )
& ( big_f(x,B)
| big_f(x,B)
| ~ big_f(x,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327+1.tptp',unknown),
[] ).
cnf(156961232,plain,
( big_f(B,x)
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[church_46_12_2]),
[] ).
cnf(156981272,plain,
( big_f(B,x)
| big_f(x,z(B)) ),
inference(rewrite,[status(thm)],[church_46_12_2]),
[] ).
cnf(156988432,plain,
big_f(B,x),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_12_2,156961232,156981272]),
[] ).
cnf(156948352,plain,
( ~ big_f(z(B),B)
| ~ big_f(B,x)
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[church_46_12_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156988432,156948352,156988432]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_12_2,plain,(((big_f(B,x)|big_f(B,x)|big_f(B,x))&(~big_f(z(B),B)|big_f(B,x)|big_f(B,x))&(~big_f(x,z(B))|big_f(B,x)|big_f(B,x))&(big_f(x,B)|big_f(B,x)|big_f(B,x))&(big_f(B,x)|~big_f(B,x)|big_f(B,x))&(~big_f(z(B),B)|~big_f(B,x)|big_f(B,x))&(~big_f(x,z(B))|~big_f(B,x)|big_f(B,x))&(big_f(x,B)|~big_f(B,x)|big_f(B,x))&(big_f(B,x)|~big_f(x,z(B))|big_f(B,x))&(~big_f(z(B),B)|~big_f(x,z(B))|big_f(B,x))&(~big_f(x,z(B))|~big_f(x,z(B))|big_f(B,x))&(big_f(x,B)|~big_f(x,z(B))|big_f(B,x))&(big_f(B,x)|big_f(x,B)|big_f(B,x))&(~big_f(z(B),B)|big_f(x,B)|big_f(B,x))&(~big_f(x,z(B))|big_f(x,B)|big_f(B,x))&(big_f(x,B)|big_f(x,B)|big_f(B,x))&(big_f(B,x)|big_f(B,x)|big_f(x,z(B)))&(~big_f(z(B),B)|big_f(B,x)|big_f(x,z(B)))&(~big_f(x,z(B))|big_f(B,x)|big_f(x,z(B)))&(big_f(x,B)|big_f(B,x)|big_f(x,z(B)))&(big_f(B,x)|~big_f(B,x)|big_f(x,z(B)))&(~big_f(z(B),B)|~big_f(B,x)|big_f(x,z(B)))&(~big_f(x,z(B))|~big_f(B,x)|big_f(x,z(B)))&(big_f(x,B)|~big_f(B,x)|big_f(x,z(B)))&(big_f(B,x)|~big_f(x,z(B))|big_f(x,z(B)))&(~big_f(z(B),B)|~big_f(x,z(B))|big_f(x,z(B)))&(~big_f(x,z(B))|~big_f(x,z(B))|big_f(x,z(B)))&(big_f(x,B)|~big_f(x,z(B))|big_f(x,z(B)))&(big_f(B,x)|big_f(x,B)|big_f(x,z(B)))&(~big_f(z(B),B)|big_f(x,B)|big_f(x,z(B)))&(~big_f(x,z(B))|big_f(x,B)|big_f(x,z(B)))&(big_f(x,B)|big_f(x,B)|big_f(x,z(B)))&(big_f(B,x)|big_f(B,x)|~big_f(x,B))&(~big_f(z(B),B)|big_f(B,x)|~big_f(x,B))&(~big_f(x,z(B))|big_f(B,x)|~big_f(x,B))&(big_f(x,B)|big_f(B,x)|~big_f(x,B))&(big_f(B,x)|~big_f(B,x)|~big_f(x,B))&(~big_f(z(B),B)|~big_f(B,x)|~big_f(x,B))&(~big_f(x,z(B))|~big_f(B,x)|~big_f(x,B))&(big_f(x,B)|~big_f(B,x)|~big_f(x,B))&(big_f(B,x)|~big_f(x,z(B))|~big_f(x,B))&(~big_f(z(B),B)|~big_f(x,z(B))|~big_f(x,B))&(~big_f(x,z(B))|~big_f(x,z(B))|~big_f(x,B))&(big_f(x,B)|~big_f(x,z(B))|~big_f(x,B))&(big_f(B,x)|big_f(x,B)|~big_f(x,B))&(~big_f(z(B),B)|big_f(x,B)|~big_f(x,B))&(~big_f(x,z(B))|big_f(x,B)|~big_f(x,B))&(big_f(x,B)|big_f(x,B)|~big_f(x,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN327+1.tptp',unknown),[]).
%
% cnf(156961232,plain,(big_f(B,x)|~big_f(x,B)),inference(rewrite,[status(thm)],[church_46_12_2]),[]).
%
% cnf(156981272,plain,(big_f(B,x)|big_f(x,z(B))),inference(rewrite,[status(thm)],[church_46_12_2]),[]).
%
% cnf(156988432,plain,(big_f(B,x)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_12_2,156961232,156981272]),[]).
%
% cnf(156948352,plain,(~big_f(z(B),B)|~big_f(B,x)|~big_f(x,B)),inference(rewrite,[status(thm)],[church_46_12_2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156988432,156948352,156988432]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------