TSTP Solution File: SYN358+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN358+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:51:20 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 338 ( 0 equ)
% Maximal formula atoms : 324 ( 37 avg)
% Number of connectives : 443 ( 114 ~; 249 |; 80 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 7 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2109,plain,
! [B,C] :
( ( p
| p
| p
| ~ big_q(B) )
& ( big_q(x(B,C))
| p
| p
| ~ big_q(B) )
& ( ~ big_q(C)
| p
| p
| ~ big_q(B) )
& ( p
| big_q(x(B,C))
| p
| ~ big_q(B) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| p
| ~ big_q(B) )
& ( ~ big_q(C)
| big_q(x(B,C))
| p
| ~ big_q(B) )
& ( p
| ~ p
| p
| ~ big_q(B) )
& ( big_q(x(B,C))
| ~ p
| p
| ~ big_q(B) )
& ( ~ big_q(C)
| ~ p
| p
| ~ big_q(B) )
& ( p
| p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( big_q(x(B,C))
| p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( ~ big_q(C)
| p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( p
| big_q(x(B,C))
| big_q(x_nn_3)
| ~ big_q(B) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| big_q(x_nn_3)
| ~ big_q(B) )
& ( ~ big_q(C)
| big_q(x(B,C))
| big_q(x_nn_3)
| ~ big_q(B) )
& ( p
| ~ p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( big_q(x(B,C))
| ~ p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( ~ big_q(C)
| ~ p
| big_q(x_nn_3)
| ~ big_q(B) )
& ( p
| p
| ~ p
| ~ big_q(B) )
& ( big_q(x(B,C))
| p
| ~ p
| ~ big_q(B) )
& ( ~ big_q(C)
| p
| ~ p
| ~ big_q(B) )
& ( p
| big_q(x(B,C))
| ~ p
| ~ big_q(B) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| ~ p
| ~ big_q(B) )
& ( ~ big_q(C)
| big_q(x(B,C))
| ~ p
| ~ big_q(B) )
& ( p
| ~ p
| ~ p
| ~ big_q(B) )
& ( big_q(x(B,C))
| ~ p
| ~ p
| ~ big_q(B) )
& ( ~ big_q(C)
| ~ p
| ~ p
| ~ big_q(B) )
& ( p
| p
| p
| p )
& ( big_q(x(B,C))
| p
| p
| p )
& ( ~ big_q(C)
| p
| p
| p )
& ( p
| big_q(x(B,C))
| p
| p )
& ( big_q(x(B,C))
| big_q(x(B,C))
| p
| p )
& ( ~ big_q(C)
| big_q(x(B,C))
| p
| p )
& ( p
| ~ p
| p
| p )
& ( big_q(x(B,C))
| ~ p
| p
| p )
& ( ~ big_q(C)
| ~ p
| p
| p )
& ( p
| p
| big_q(x_nn_3)
| p )
& ( big_q(x(B,C))
| p
| big_q(x_nn_3)
| p )
& ( ~ big_q(C)
| p
| big_q(x_nn_3)
| p )
& ( p
| big_q(x(B,C))
| big_q(x_nn_3)
| p )
& ( big_q(x(B,C))
| big_q(x(B,C))
| big_q(x_nn_3)
| p )
& ( ~ big_q(C)
| big_q(x(B,C))
| big_q(x_nn_3)
| p )
& ( p
| ~ p
| big_q(x_nn_3)
| p )
& ( big_q(x(B,C))
| ~ p
| big_q(x_nn_3)
| p )
& ( ~ big_q(C)
| ~ p
| big_q(x_nn_3)
| p )
& ( p
| p
| ~ p
| p )
& ( big_q(x(B,C))
| p
| ~ p
| p )
& ( ~ big_q(C)
| p
| ~ p
| p )
& ( p
| big_q(x(B,C))
| ~ p
| p )
& ( big_q(x(B,C))
| big_q(x(B,C))
| ~ p
| p )
& ( ~ big_q(C)
| big_q(x(B,C))
| ~ p
| p )
& ( p
| ~ p
| ~ p
| p )
& ( big_q(x(B,C))
| ~ p
| ~ p
| p )
& ( ~ big_q(C)
| ~ p
| ~ p
| p )
& ( p
| p
| p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| p
| p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| p
| p
| big_q(x_nn_3) )
& ( p
| big_q(x(B,C))
| p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| big_q(x(B,C))
| p
| big_q(x_nn_3) )
& ( p
| ~ p
| p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| ~ p
| p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| ~ p
| p
| big_q(x_nn_3) )
& ( p
| p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( ~ big_q(C)
| p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( p
| big_q(x(B,C))
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( ~ big_q(C)
| big_q(x(B,C))
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( p
| ~ p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| ~ p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( ~ big_q(C)
| ~ p
| big_q(x_nn_3)
| big_q(x_nn_3) )
& ( p
| p
| ~ p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| p
| ~ p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| p
| ~ p
| big_q(x_nn_3) )
& ( p
| big_q(x(B,C))
| ~ p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| big_q(x(B,C))
| ~ p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| big_q(x(B,C))
| ~ p
| big_q(x_nn_3) )
& ( p
| ~ p
| ~ p
| big_q(x_nn_3) )
& ( big_q(x(B,C))
| ~ p
| ~ p
| big_q(x_nn_3) )
& ( ~ big_q(C)
| ~ p
| ~ p
| big_q(x_nn_3) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN358+1.tptp',unknown),
[] ).
cnf(168639208,plain,
( ~ big_q(C)
| p ),
inference(rewrite,[status(thm)],[x2109]),
[] ).
cnf(168647592,plain,
( ~ big_q(C)
| ~ big_q(B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2109,168639208]),
[] ).
cnf(168578376,plain,
( ~ big_q(C)
| ~ p
| big_q(x_nn_3) ),
inference(rewrite,[status(thm)],[x2109]),
[] ).
cnf(168642880,plain,
p,
inference(rewrite,[status(thm)],[x2109]),
[] ).
cnf(205262192,plain,
( ~ big_q(C)
| big_q(x_nn_3) ),
inference(resolution,[status(thm)],[168578376,168642880]),
[] ).
cnf(168608136,plain,
( big_q(x(B,C))
| big_q(x_nn_3) ),
inference(rewrite,[status(thm)],[x2109]),
[] ).
cnf(205272560,plain,
big_q(x_nn_3),
inference(resolution,[status(thm)],[205262192,168608136]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168647592,205272560]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2109,plain,(((p|p|p|~big_q(B))&(big_q(x(B,C))|p|p|~big_q(B))&(~big_q(C)|p|p|~big_q(B))&(p|big_q(x(B,C))|p|~big_q(B))&(big_q(x(B,C))|big_q(x(B,C))|p|~big_q(B))&(~big_q(C)|big_q(x(B,C))|p|~big_q(B))&(p|~p|p|~big_q(B))&(big_q(x(B,C))|~p|p|~big_q(B))&(~big_q(C)|~p|p|~big_q(B))&(p|p|big_q(x_nn_3)|~big_q(B))&(big_q(x(B,C))|p|big_q(x_nn_3)|~big_q(B))&(~big_q(C)|p|big_q(x_nn_3)|~big_q(B))&(p|big_q(x(B,C))|big_q(x_nn_3)|~big_q(B))&(big_q(x(B,C))|big_q(x(B,C))|big_q(x_nn_3)|~big_q(B))&(~big_q(C)|big_q(x(B,C))|big_q(x_nn_3)|~big_q(B))&(p|~p|big_q(x_nn_3)|~big_q(B))&(big_q(x(B,C))|~p|big_q(x_nn_3)|~big_q(B))&(~big_q(C)|~p|big_q(x_nn_3)|~big_q(B))&(p|p|~p|~big_q(B))&(big_q(x(B,C))|p|~p|~big_q(B))&(~big_q(C)|p|~p|~big_q(B))&(p|big_q(x(B,C))|~p|~big_q(B))&(big_q(x(B,C))|big_q(x(B,C))|~p|~big_q(B))&(~big_q(C)|big_q(x(B,C))|~p|~big_q(B))&(p|~p|~p|~big_q(B))&(big_q(x(B,C))|~p|~p|~big_q(B))&(~big_q(C)|~p|~p|~big_q(B))&(p|p|p|p)&(big_q(x(B,C))|p|p|p)&(~big_q(C)|p|p|p)&(p|big_q(x(B,C))|p|p)&(big_q(x(B,C))|big_q(x(B,C))|p|p)&(~big_q(C)|big_q(x(B,C))|p|p)&(p|~p|p|p)&(big_q(x(B,C))|~p|p|p)&(~big_q(C)|~p|p|p)&(p|p|big_q(x_nn_3)|p)&(big_q(x(B,C))|p|big_q(x_nn_3)|p)&(~big_q(C)|p|big_q(x_nn_3)|p)&(p|big_q(x(B,C))|big_q(x_nn_3)|p)&(big_q(x(B,C))|big_q(x(B,C))|big_q(x_nn_3)|p)&(~big_q(C)|big_q(x(B,C))|big_q(x_nn_3)|p)&(p|~p|big_q(x_nn_3)|p)&(big_q(x(B,C))|~p|big_q(x_nn_3)|p)&(~big_q(C)|~p|big_q(x_nn_3)|p)&(p|p|~p|p)&(big_q(x(B,C))|p|~p|p)&(~big_q(C)|p|~p|p)&(p|big_q(x(B,C))|~p|p)&(big_q(x(B,C))|big_q(x(B,C))|~p|p)&(~big_q(C)|big_q(x(B,C))|~p|p)&(p|~p|~p|p)&(big_q(x(B,C))|~p|~p|p)&(~big_q(C)|~p|~p|p)&(p|p|p|big_q(x_nn_3))&(big_q(x(B,C))|p|p|big_q(x_nn_3))&(~big_q(C)|p|p|big_q(x_nn_3))&(p|big_q(x(B,C))|p|big_q(x_nn_3))&(big_q(x(B,C))|big_q(x(B,C))|p|big_q(x_nn_3))&(~big_q(C)|big_q(x(B,C))|p|big_q(x_nn_3))&(p|~p|p|big_q(x_nn_3))&(big_q(x(B,C))|~p|p|big_q(x_nn_3))&(~big_q(C)|~p|p|big_q(x_nn_3))&(p|p|big_q(x_nn_3)|big_q(x_nn_3))&(big_q(x(B,C))|p|big_q(x_nn_3)|big_q(x_nn_3))&(~big_q(C)|p|big_q(x_nn_3)|big_q(x_nn_3))&(p|big_q(x(B,C))|big_q(x_nn_3)|big_q(x_nn_3))&(big_q(x(B,C))|big_q(x(B,C))|big_q(x_nn_3)|big_q(x_nn_3))&(~big_q(C)|big_q(x(B,C))|big_q(x_nn_3)|big_q(x_nn_3))&(p|~p|big_q(x_nn_3)|big_q(x_nn_3))&(big_q(x(B,C))|~p|big_q(x_nn_3)|big_q(x_nn_3))&(~big_q(C)|~p|big_q(x_nn_3)|big_q(x_nn_3))&(p|p|~p|big_q(x_nn_3))&(big_q(x(B,C))|p|~p|big_q(x_nn_3))&(~big_q(C)|p|~p|big_q(x_nn_3))&(p|big_q(x(B,C))|~p|big_q(x_nn_3))&(big_q(x(B,C))|big_q(x(B,C))|~p|big_q(x_nn_3))&(~big_q(C)|big_q(x(B,C))|~p|big_q(x_nn_3))&(p|~p|~p|big_q(x_nn_3))&(big_q(x(B,C))|~p|~p|big_q(x_nn_3))&(~big_q(C)|~p|~p|big_q(x_nn_3)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN358+1.tptp',unknown),[]).
%
% cnf(168639208,plain,(~big_q(C)|p),inference(rewrite,[status(thm)],[x2109]),[]).
%
% cnf(168647592,plain,(~big_q(C)|~big_q(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2109,168639208]),[]).
%
% cnf(168578376,plain,(~big_q(C)|~p|big_q(x_nn_3)),inference(rewrite,[status(thm)],[x2109]),[]).
%
% cnf(168642880,plain,(p),inference(rewrite,[status(thm)],[x2109]),[]).
%
% cnf(205262192,plain,(~big_q(C)|big_q(x_nn_3)),inference(resolution,[status(thm)],[168578376,168642880]),[]).
%
% cnf(168608136,plain,(big_q(x(B,C))|big_q(x_nn_3)),inference(rewrite,[status(thm)],[x2109]),[]).
%
% cnf(205272560,plain,(big_q(x_nn_3)),inference(resolution,[status(thm)],[205262192,168608136]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168647592,205272560]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------