TSTP Solution File: SYN317+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN317+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 17:48:49 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(church_46_2_3,plain,
! [D,B,C] :
( ( big_f(D)
| big_f(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_f(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| ~ big_g(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_f(B)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_f(B)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_f(B)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_f(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_f(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| ~ big_g(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| ~ big_g(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_f(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_f(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_f(x_nn_3) )
& ( big_f(D)
| big_f(D)
| big_f(B)
| big_f(B) )
& ( ~ big_g(D)
| big_f(D)
| big_f(B)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_f(B)
| big_f(B) )
& ( big_f(D)
| ~ big_g(D)
| big_f(B)
| big_f(B) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_f(B)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_f(B)
| big_f(B) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_f(B)
| big_f(B) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_f(B)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_f(B)
| big_f(B) )
& ( big_f(D)
| big_f(D)
| ~ big_g(C)
| big_f(B) )
& ( ~ big_g(D)
| big_f(D)
| ~ big_g(C)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| ~ big_g(C)
| big_f(B) )
& ( big_f(D)
| ~ big_g(D)
| ~ big_g(C)
| big_f(B) )
& ( ~ big_g(D)
| ~ big_g(D)
| ~ big_g(C)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| ~ big_g(C)
| big_f(B) )
& ( big_f(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| big_f(B) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| ~ big_g(C)
| big_f(B) )
& ( big_f(D)
| big_f(D)
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_g(D)
| big_f(D)
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_g(x_nn_3)
| big_f(B) )
& ( big_f(D)
| ~ big_g(D)
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_g(x_nn_3)
| big_f(B) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| big_f(B) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_g(x_nn_3)
| big_f(B) )
& ( big_f(D)
| big_f(D)
| big_f(B)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_f(D)
| big_f(B)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_f(B)
| ~ big_g(C) )
& ( big_f(D)
| ~ big_g(D)
| big_f(B)
| ~ big_g(C) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_f(B)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_f(B)
| ~ big_g(C) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_f(B)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_f(B)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_f(B)
| ~ big_g(C) )
& ( big_f(D)
| big_f(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_f(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( big_f(D)
| ~ big_g(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_g(D)
| ~ big_g(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| ~ big_g(C)
| ~ big_g(C) )
& ( big_f(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| ~ big_g(C)
| ~ big_g(C) )
& ( big_f(D)
| big_f(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_f(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_f(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( big_f(D)
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_g(D)
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| ~ big_g(D)
| big_g(x_nn_3)
| ~ big_g(C) )
& ( big_f(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_g(D)
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_g(C) )
& ( ~ big_f(x(B,C,D))
| big_g(y(B,C,D))
| big_g(x_nn_3)
| ~ big_g(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN317+1.tptp',unknown),
[] ).
cnf(171689992,plain,
( ~ big_g(D)
| ~ big_g(C) ),
inference(rewrite,[status(thm)],[church_46_2_3]),
[] ).
cnf(171747080,plain,
( big_f(D)
| big_f(B) ),
inference(rewrite,[status(thm)],[church_46_2_3]),
[] ).
cnf(171757680,plain,
( ~ big_g(D)
| big_g(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_2_3,171747080]),
[] ).
cnf(171753448,plain,
( big_g(y(B,C,D))
| big_g(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_2_3,171747080]),
[] ).
cnf(239946312,plain,
big_g(x_nn_3),
inference(resolution,[status(thm)],[171757680,171753448]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[171689992,239946312]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_2_3,plain,(((big_f(D)|big_f(D)|big_f(B)|~big_f(x_nn_3))&(~big_g(D)|big_f(D)|big_f(B)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_f(D)|big_f(B)|~big_f(x_nn_3))&(big_f(D)|~big_g(D)|big_f(B)|~big_f(x_nn_3))&(~big_g(D)|~big_g(D)|big_f(B)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|~big_g(D)|big_f(B)|~big_f(x_nn_3))&(big_f(D)|big_g(y(B,C,D))|big_f(B)|~big_f(x_nn_3))&(~big_g(D)|big_g(y(B,C,D))|big_f(B)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_f(B)|~big_f(x_nn_3))&(big_f(D)|big_f(D)|~big_g(C)|~big_f(x_nn_3))&(~big_g(D)|big_f(D)|~big_g(C)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_f(D)|~big_g(C)|~big_f(x_nn_3))&(big_f(D)|~big_g(D)|~big_g(C)|~big_f(x_nn_3))&(~big_g(D)|~big_g(D)|~big_g(C)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|~big_g(D)|~big_g(C)|~big_f(x_nn_3))&(big_f(D)|big_g(y(B,C,D))|~big_g(C)|~big_f(x_nn_3))&(~big_g(D)|big_g(y(B,C,D))|~big_g(C)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|~big_g(C)|~big_f(x_nn_3))&(big_f(D)|big_f(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_g(D)|big_f(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_f(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(big_f(D)|~big_g(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_g(D)|~big_g(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|~big_g(D)|big_g(x_nn_3)|~big_f(x_nn_3))&(big_f(D)|big_g(y(B,C,D))|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_g(D)|big_g(y(B,C,D))|big_g(x_nn_3)|~big_f(x_nn_3))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_g(x_nn_3)|~big_f(x_nn_3))&(big_f(D)|big_f(D)|big_f(B)|big_f(B))&(~big_g(D)|big_f(D)|big_f(B)|big_f(B))&(~big_f(x(B,C,D))|big_f(D)|big_f(B)|big_f(B))&(big_f(D)|~big_g(D)|big_f(B)|big_f(B))&(~big_g(D)|~big_g(D)|big_f(B)|big_f(B))&(~big_f(x(B,C,D))|~big_g(D)|big_f(B)|big_f(B))&(big_f(D)|big_g(y(B,C,D))|big_f(B)|big_f(B))&(~big_g(D)|big_g(y(B,C,D))|big_f(B)|big_f(B))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_f(B)|big_f(B))&(big_f(D)|big_f(D)|~big_g(C)|big_f(B))&(~big_g(D)|big_f(D)|~big_g(C)|big_f(B))&(~big_f(x(B,C,D))|big_f(D)|~big_g(C)|big_f(B))&(big_f(D)|~big_g(D)|~big_g(C)|big_f(B))&(~big_g(D)|~big_g(D)|~big_g(C)|big_f(B))&(~big_f(x(B,C,D))|~big_g(D)|~big_g(C)|big_f(B))&(big_f(D)|big_g(y(B,C,D))|~big_g(C)|big_f(B))&(~big_g(D)|big_g(y(B,C,D))|~big_g(C)|big_f(B))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|~big_g(C)|big_f(B))&(big_f(D)|big_f(D)|big_g(x_nn_3)|big_f(B))&(~big_g(D)|big_f(D)|big_g(x_nn_3)|big_f(B))&(~big_f(x(B,C,D))|big_f(D)|big_g(x_nn_3)|big_f(B))&(big_f(D)|~big_g(D)|big_g(x_nn_3)|big_f(B))&(~big_g(D)|~big_g(D)|big_g(x_nn_3)|big_f(B))&(~big_f(x(B,C,D))|~big_g(D)|big_g(x_nn_3)|big_f(B))&(big_f(D)|big_g(y(B,C,D))|big_g(x_nn_3)|big_f(B))&(~big_g(D)|big_g(y(B,C,D))|big_g(x_nn_3)|big_f(B))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_g(x_nn_3)|big_f(B))&(big_f(D)|big_f(D)|big_f(B)|~big_g(C))&(~big_g(D)|big_f(D)|big_f(B)|~big_g(C))&(~big_f(x(B,C,D))|big_f(D)|big_f(B)|~big_g(C))&(big_f(D)|~big_g(D)|big_f(B)|~big_g(C))&(~big_g(D)|~big_g(D)|big_f(B)|~big_g(C))&(~big_f(x(B,C,D))|~big_g(D)|big_f(B)|~big_g(C))&(big_f(D)|big_g(y(B,C,D))|big_f(B)|~big_g(C))&(~big_g(D)|big_g(y(B,C,D))|big_f(B)|~big_g(C))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_f(B)|~big_g(C))&(big_f(D)|big_f(D)|~big_g(C)|~big_g(C))&(~big_g(D)|big_f(D)|~big_g(C)|~big_g(C))&(~big_f(x(B,C,D))|big_f(D)|~big_g(C)|~big_g(C))&(big_f(D)|~big_g(D)|~big_g(C)|~big_g(C))&(~big_g(D)|~big_g(D)|~big_g(C)|~big_g(C))&(~big_f(x(B,C,D))|~big_g(D)|~big_g(C)|~big_g(C))&(big_f(D)|big_g(y(B,C,D))|~big_g(C)|~big_g(C))&(~big_g(D)|big_g(y(B,C,D))|~big_g(C)|~big_g(C))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|~big_g(C)|~big_g(C))&(big_f(D)|big_f(D)|big_g(x_nn_3)|~big_g(C))&(~big_g(D)|big_f(D)|big_g(x_nn_3)|~big_g(C))&(~big_f(x(B,C,D))|big_f(D)|big_g(x_nn_3)|~big_g(C))&(big_f(D)|~big_g(D)|big_g(x_nn_3)|~big_g(C))&(~big_g(D)|~big_g(D)|big_g(x_nn_3)|~big_g(C))&(~big_f(x(B,C,D))|~big_g(D)|big_g(x_nn_3)|~big_g(C))&(big_f(D)|big_g(y(B,C,D))|big_g(x_nn_3)|~big_g(C))&(~big_g(D)|big_g(y(B,C,D))|big_g(x_nn_3)|~big_g(C))&(~big_f(x(B,C,D))|big_g(y(B,C,D))|big_g(x_nn_3)|~big_g(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN317+1.tptp',unknown),[]).
%
% cnf(171689992,plain,(~big_g(D)|~big_g(C)),inference(rewrite,[status(thm)],[church_46_2_3]),[]).
%
% cnf(171747080,plain,(big_f(D)|big_f(B)),inference(rewrite,[status(thm)],[church_46_2_3]),[]).
%
% cnf(171757680,plain,(~big_g(D)|big_g(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_2_3,171747080]),[]).
%
% cnf(171753448,plain,(big_g(y(B,C,D))|big_g(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_2_3,171747080]),[]).
%
% cnf(239946312,plain,(big_g(x_nn_3)),inference(resolution,[status(thm)],[171757680,171753448]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[171689992,239946312]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------