TSTP Solution File: SYN082+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN082+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:42:38 EDT 2009
% Result : Theorem 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 2 unt; 0 def)
% Number of atoms : 258 ( 0 equ)
% Maximal formula atoms : 216 ( 13 avg)
% Number of connectives : 356 ( 117 ~; 186 |; 53 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 60 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 12 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel60,plain,
! [B,E] :
( ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| big_f(x,f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) )
& ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| big_f(x,f(x))
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| big_f(z_nn_2(B),B)
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(E,f(x))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( ~ big_f(x,f(x))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( ~ big_f(E,y(B))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) )
& ( big_f(x,y(B))
| big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082+1.tptp',unknown),
[] ).
cnf(147508712,plain,
( big_f(x,y(B))
| big_f(x,f(x)) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(147517064,plain,
( ~ big_f(E,y(B))
| big_f(E,f(x))
| big_f(x,f(x)) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(147563856,plain,
( big_f(x,y(B))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(197346120,plain,
( big_f(x,y(f(x)))
| big_f(z_nn_2(f(x)),f(x))
| big_f(x,y(C)) ),
inference(resolution,[status(thm)],[147563856,147508712]),
[] ).
cnf(147598504,plain,
( big_f(E,f(x))
| big_f(x,f(x))
| ~ big_f(x,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel60,147517064]),
[] ).
cnf(147530744,plain,
( big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(147591152,plain,
( ~ big_f(x,f(x))
| big_f(z_nn_2(B),B)
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(147462352,plain,
( big_f(x,y(B))
| ~ big_f(z_nn_2(B),f(x))
| big_f(x,f(x)) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(197390352,plain,
( big_f(x,f(x))
| ~ big_f(x,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147462352,147517064,147598504,147563856]),
[] ).
cnf(197467952,plain,
( big_f(z_nn_2(f(x)),f(x))
| ~ big_f(x,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147598504,147591152,197390352]),
[] ).
cnf(197598488,plain,
( big_f(x,y(f(x)))
| ~ big_f(x,D) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147598504,147530744,197467952]),
[] ).
cnf(198003480,plain,
( big_f(x,f(x))
| ~ big_f(x,E) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,197598488,147598504]),
[] ).
cnf(198065504,plain,
( ~ big_f(x,E)
| big_f(x,y(f(x))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[197346120,198003480,147530744]),
[] ).
cnf(201823872,plain,
( big_f(x,f(x))
| ~ big_f(x,F) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,198065504,147598504]),
[] ).
cnf(198003288,plain,
( ~ big_f(x,y(E))
| big_f(x,f(x)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,197598488,147517064]),
[] ).
cnf(201978056,plain,
big_f(x,f(x)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147508712,201823872,198003288]),
[] ).
cnf(147559248,plain,
( ~ big_f(x,f(x))
| ~ big_f(z_nn_2(B),f(x))
| ~ big_f(x,B) ),
inference(rewrite,[status(thm)],[pel60]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[201978056,147591152,147559248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(pel60,plain,(((~big_f(x,f(x))|~big_f(x,f(x))|big_f(x,f(x))|~big_f(x,B))&(~big_f(E,y(B))|~big_f(x,f(x))|big_f(x,f(x))|~big_f(x,B))&(big_f(x,y(B))|~big_f(x,f(x))|big_f(x,f(x))|~big_f(x,B))&(~big_f(x,f(x))|big_f(E,f(x))|big_f(x,f(x))|~big_f(x,B))&(~big_f(E,y(B))|big_f(E,f(x))|big_f(x,f(x))|~big_f(x,B))&(big_f(x,y(B))|big_f(E,f(x))|big_f(x,f(x))|~big_f(x,B))&(~big_f(x,f(x))|big_f(x,y(B))|big_f(x,f(x))|~big_f(x,B))&(~big_f(E,y(B))|big_f(x,y(B))|big_f(x,f(x))|~big_f(x,B))&(big_f(x,y(B))|big_f(x,y(B))|big_f(x,f(x))|~big_f(x,B))&(~big_f(x,f(x))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(E,y(B))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(big_f(x,y(B))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(x,f(x))|big_f(E,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(E,y(B))|big_f(E,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(big_f(x,y(B))|big_f(E,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(x,f(x))|big_f(x,y(B))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(E,y(B))|big_f(x,y(B))|big_f(z_nn_2(B),B)|~big_f(x,B))&(big_f(x,y(B))|big_f(x,y(B))|big_f(z_nn_2(B),B)|~big_f(x,B))&(~big_f(x,f(x))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(E,y(B))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(big_f(x,y(B))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(x,f(x))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(E,y(B))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(big_f(x,y(B))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(x,f(x))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(E,y(B))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(big_f(x,y(B))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|~big_f(x,B))&(~big_f(x,f(x))|~big_f(x,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|~big_f(x,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(big_f(x,y(B))|~big_f(x,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(E,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(E,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(big_f(x,y(B))|big_f(E,f(x))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(x,y(B))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(x,y(B))|big_f(x,f(x))|big_f(x,f(x)))&(big_f(x,y(B))|big_f(x,y(B))|big_f(x,f(x))|big_f(x,f(x)))&(~big_f(x,f(x))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(E,y(B))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(big_f(x,y(B))|~big_f(x,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(E,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(E,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(big_f(x,y(B))|big_f(E,f(x))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(x,y(B))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(x,y(B))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(big_f(x,y(B))|big_f(x,y(B))|big_f(z_nn_2(B),B)|big_f(x,f(x)))&(~big_f(x,f(x))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(big_f(x,y(B))|~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(big_f(x,y(B))|big_f(E,f(x))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(~big_f(x,f(x))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(~big_f(E,y(B))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x)))&(big_f(x,y(B))|big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN082+1.tptp',unknown),[]).
%
% cnf(147508712,plain,(big_f(x,y(B))|big_f(x,f(x))),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(147517064,plain,(~big_f(E,y(B))|big_f(E,f(x))|big_f(x,f(x))),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(147563856,plain,(big_f(x,y(B))|big_f(z_nn_2(B),B)|~big_f(x,B)),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(197346120,plain,(big_f(x,y(f(x)))|big_f(z_nn_2(f(x)),f(x))|big_f(x,y(C))),inference(resolution,[status(thm)],[147563856,147508712]),[]).
%
% cnf(147598504,plain,(big_f(E,f(x))|big_f(x,f(x))|~big_f(x,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel60,147517064]),[]).
%
% cnf(147530744,plain,(big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|~big_f(x,B)),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(147591152,plain,(~big_f(x,f(x))|big_f(z_nn_2(B),B)|~big_f(x,B)),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(147462352,plain,(big_f(x,y(B))|~big_f(z_nn_2(B),f(x))|big_f(x,f(x))),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(197390352,plain,(big_f(x,f(x))|~big_f(x,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147462352,147517064,147598504,147563856]),[]).
%
% cnf(197467952,plain,(big_f(z_nn_2(f(x)),f(x))|~big_f(x,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147598504,147591152,197390352]),[]).
%
% cnf(197598488,plain,(big_f(x,y(f(x)))|~big_f(x,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147598504,147530744,197467952]),[]).
%
% cnf(198003480,plain,(big_f(x,f(x))|~big_f(x,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,197598488,147598504]),[]).
%
% cnf(198065504,plain,(~big_f(x,E)|big_f(x,y(f(x)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[197346120,198003480,147530744]),[]).
%
% cnf(201823872,plain,(big_f(x,f(x))|~big_f(x,F)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,198065504,147598504]),[]).
%
% cnf(198003288,plain,(~big_f(x,y(E))|big_f(x,f(x))),inference(forward_subsumption_resolution__resolution,[status(thm)],[147517064,197598488,147517064]),[]).
%
% cnf(201978056,plain,(big_f(x,f(x))),inference(forward_subsumption_resolution__resolution,[status(thm)],[147508712,201823872,198003288]),[]).
%
% cnf(147559248,plain,(~big_f(x,f(x))|~big_f(z_nn_2(B),f(x))|~big_f(x,B)),inference(rewrite,[status(thm)],[pel60]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[201978056,147591152,147559248]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------