TSTP Solution File: SYN373+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN373+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 17:51:58 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 2 unt; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 324 ( 47 avg)
% Number of connectives : 492 ( 165 ~; 247 |; 80 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 14 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 11 ( 8 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2124,plain,
! [D,B,C] :
( ( big_p(D)
| big_p(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_p(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| ~ big_q(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_p(B)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_p(B)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_p(B)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_p(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_p(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| ~ big_q(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| ~ big_q(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_p(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_p(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_p(x_nn_5) )
& ( big_p(D)
| big_p(D)
| big_p(B)
| big_p(B) )
& ( ~ big_q(D)
| big_p(D)
| big_p(B)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_p(B)
| big_p(B) )
& ( big_p(D)
| ~ big_q(D)
| big_p(B)
| big_p(B) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_p(B)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_p(B)
| big_p(B) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_p(B)
| big_p(B) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_p(B)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_p(B)
| big_p(B) )
& ( big_p(D)
| big_p(D)
| ~ big_q(C)
| big_p(B) )
& ( ~ big_q(D)
| big_p(D)
| ~ big_q(C)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| ~ big_q(C)
| big_p(B) )
& ( big_p(D)
| ~ big_q(D)
| ~ big_q(C)
| big_p(B) )
& ( ~ big_q(D)
| ~ big_q(D)
| ~ big_q(C)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| ~ big_q(C)
| big_p(B) )
& ( big_p(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| big_p(B) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| ~ big_q(C)
| big_p(B) )
& ( big_p(D)
| big_p(D)
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_q(D)
| big_p(D)
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_q(x_nn_5)
| big_p(B) )
& ( big_p(D)
| ~ big_q(D)
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_q(x_nn_5)
| big_p(B) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| big_p(B) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_q(x_nn_5)
| big_p(B) )
& ( big_p(D)
| big_p(D)
| big_p(B)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_p(D)
| big_p(B)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_p(B)
| ~ big_q(C) )
& ( big_p(D)
| ~ big_q(D)
| big_p(B)
| ~ big_q(C) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_p(B)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_p(B)
| ~ big_q(C) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_p(B)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_p(B)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_p(B)
| ~ big_q(C) )
& ( big_p(D)
| big_p(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_p(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( big_p(D)
| ~ big_q(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_q(D)
| ~ big_q(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| ~ big_q(C)
| ~ big_q(C) )
& ( big_p(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| ~ big_q(C)
| ~ big_q(C) )
& ( big_p(D)
| big_p(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_p(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_p(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( big_p(D)
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_q(D)
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| ~ big_q(D)
| big_q(x_nn_5)
| ~ big_q(C) )
& ( big_p(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_q(D)
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_q(C) )
& ( ~ big_p(x_nn_1(B,C,D))
| big_q(x(B,C,D))
| big_q(x_nn_5)
| ~ big_q(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN373+1.tptp',unknown),
[] ).
cnf(169375744,plain,
( ~ big_q(D)
| ~ big_q(C) ),
inference(rewrite,[status(thm)],[x2124]),
[] ).
cnf(169432832,plain,
( big_p(D)
| big_p(B) ),
inference(rewrite,[status(thm)],[x2124]),
[] ).
cnf(169443432,plain,
( ~ big_q(D)
| big_q(x_nn_5) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2124,169432832]),
[] ).
cnf(169439200,plain,
( big_q(x(B,C,D))
| big_q(x_nn_5) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2124,169432832]),
[] ).
cnf(237631912,plain,
big_q(x_nn_5),
inference(resolution,[status(thm)],[169443432,169439200]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169375744,237631912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2124,plain,(((big_p(D)|big_p(D)|big_p(B)|~big_p(x_nn_5))&(~big_q(D)|big_p(D)|big_p(B)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_p(B)|~big_p(x_nn_5))&(big_p(D)|~big_q(D)|big_p(B)|~big_p(x_nn_5))&(~big_q(D)|~big_q(D)|big_p(B)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_p(B)|~big_p(x_nn_5))&(big_p(D)|big_q(x(B,C,D))|big_p(B)|~big_p(x_nn_5))&(~big_q(D)|big_q(x(B,C,D))|big_p(B)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_p(B)|~big_p(x_nn_5))&(big_p(D)|big_p(D)|~big_q(C)|~big_p(x_nn_5))&(~big_q(D)|big_p(D)|~big_q(C)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_p(D)|~big_q(C)|~big_p(x_nn_5))&(big_p(D)|~big_q(D)|~big_q(C)|~big_p(x_nn_5))&(~big_q(D)|~big_q(D)|~big_q(C)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|~big_q(C)|~big_p(x_nn_5))&(big_p(D)|big_q(x(B,C,D))|~big_q(C)|~big_p(x_nn_5))&(~big_q(D)|big_q(x(B,C,D))|~big_q(C)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|~big_q(C)|~big_p(x_nn_5))&(big_p(D)|big_p(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_q(D)|big_p(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(big_p(D)|~big_q(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_q(D)|~big_q(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_q(x_nn_5)|~big_p(x_nn_5))&(big_p(D)|big_q(x(B,C,D))|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_q(D)|big_q(x(B,C,D))|big_q(x_nn_5)|~big_p(x_nn_5))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_q(x_nn_5)|~big_p(x_nn_5))&(big_p(D)|big_p(D)|big_p(B)|big_p(B))&(~big_q(D)|big_p(D)|big_p(B)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_p(B)|big_p(B))&(big_p(D)|~big_q(D)|big_p(B)|big_p(B))&(~big_q(D)|~big_q(D)|big_p(B)|big_p(B))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_p(B)|big_p(B))&(big_p(D)|big_q(x(B,C,D))|big_p(B)|big_p(B))&(~big_q(D)|big_q(x(B,C,D))|big_p(B)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_p(B)|big_p(B))&(big_p(D)|big_p(D)|~big_q(C)|big_p(B))&(~big_q(D)|big_p(D)|~big_q(C)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_p(D)|~big_q(C)|big_p(B))&(big_p(D)|~big_q(D)|~big_q(C)|big_p(B))&(~big_q(D)|~big_q(D)|~big_q(C)|big_p(B))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|~big_q(C)|big_p(B))&(big_p(D)|big_q(x(B,C,D))|~big_q(C)|big_p(B))&(~big_q(D)|big_q(x(B,C,D))|~big_q(C)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|~big_q(C)|big_p(B))&(big_p(D)|big_p(D)|big_q(x_nn_5)|big_p(B))&(~big_q(D)|big_p(D)|big_q(x_nn_5)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_q(x_nn_5)|big_p(B))&(big_p(D)|~big_q(D)|big_q(x_nn_5)|big_p(B))&(~big_q(D)|~big_q(D)|big_q(x_nn_5)|big_p(B))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_q(x_nn_5)|big_p(B))&(big_p(D)|big_q(x(B,C,D))|big_q(x_nn_5)|big_p(B))&(~big_q(D)|big_q(x(B,C,D))|big_q(x_nn_5)|big_p(B))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_q(x_nn_5)|big_p(B))&(big_p(D)|big_p(D)|big_p(B)|~big_q(C))&(~big_q(D)|big_p(D)|big_p(B)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_p(B)|~big_q(C))&(big_p(D)|~big_q(D)|big_p(B)|~big_q(C))&(~big_q(D)|~big_q(D)|big_p(B)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_p(B)|~big_q(C))&(big_p(D)|big_q(x(B,C,D))|big_p(B)|~big_q(C))&(~big_q(D)|big_q(x(B,C,D))|big_p(B)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_p(B)|~big_q(C))&(big_p(D)|big_p(D)|~big_q(C)|~big_q(C))&(~big_q(D)|big_p(D)|~big_q(C)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_p(D)|~big_q(C)|~big_q(C))&(big_p(D)|~big_q(D)|~big_q(C)|~big_q(C))&(~big_q(D)|~big_q(D)|~big_q(C)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|~big_q(C)|~big_q(C))&(big_p(D)|big_q(x(B,C,D))|~big_q(C)|~big_q(C))&(~big_q(D)|big_q(x(B,C,D))|~big_q(C)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|~big_q(C)|~big_q(C))&(big_p(D)|big_p(D)|big_q(x_nn_5)|~big_q(C))&(~big_q(D)|big_p(D)|big_q(x_nn_5)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_p(D)|big_q(x_nn_5)|~big_q(C))&(big_p(D)|~big_q(D)|big_q(x_nn_5)|~big_q(C))&(~big_q(D)|~big_q(D)|big_q(x_nn_5)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|~big_q(D)|big_q(x_nn_5)|~big_q(C))&(big_p(D)|big_q(x(B,C,D))|big_q(x_nn_5)|~big_q(C))&(~big_q(D)|big_q(x(B,C,D))|big_q(x_nn_5)|~big_q(C))&(~big_p(x_nn_1(B,C,D))|big_q(x(B,C,D))|big_q(x_nn_5)|~big_q(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN373+1.tptp',unknown),[]).
%
% cnf(169375744,plain,(~big_q(D)|~big_q(C)),inference(rewrite,[status(thm)],[x2124]),[]).
%
% cnf(169432832,plain,(big_p(D)|big_p(B)),inference(rewrite,[status(thm)],[x2124]),[]).
%
% cnf(169443432,plain,(~big_q(D)|big_q(x_nn_5)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2124,169432832]),[]).
%
% cnf(169439200,plain,(big_q(x(B,C,D))|big_q(x_nn_5)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[x2124,169432832]),[]).
%
% cnf(237631912,plain,(big_q(x_nn_5)),inference(resolution,[status(thm)],[169443432,169439200]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169375744,237631912]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------