TSTP Solution File: SYN323+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN323+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 17:49:12 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 : 297 ( 0 equ)
% Maximal formula atoms : 288 ( 49 avg)
% Number of connectives : 439 ( 148 ~; 220 |; 71 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 79 ( 15 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 5 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(church_46_4_2,plain,
! [B,A,C] :
( ( big_g(B,A)
| big_g(B,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_g(C,A) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_g(C,A) )
& ( big_g(B,A)
| big_g(B,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_g(C,A) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_g(C,A) )
& ( big_g(B,A)
| big_g(B,A)
| big_f(B,A)
| big_f(B,A) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(B,A)
| big_f(B,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(B,A)
| big_f(B,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(B,A)
| big_f(B,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(B,A)
| big_f(B,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(B,A)
| big_f(B,A) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,B)
| big_f(B,A) )
& ( big_g(B,A)
| big_g(B,A)
| big_f(C,A)
| big_f(B,A) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(C,A)
| big_f(B,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(C,A)
| big_f(B,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(C,A)
| big_f(B,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(C,A)
| big_f(B,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(C,A)
| big_f(B,A) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,C)
| big_f(B,A) )
& ( big_g(B,A)
| big_g(B,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(B,A)
| ~ big_f(A,B) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,B)
| ~ big_f(A,B) )
& ( big_g(B,A)
| big_g(B,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( big_f(C,A)
| big_g(B,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| big_g(B,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( big_g(B,A)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( big_f(C,A)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| big_f(C,A)
| ~ big_f(A,B) )
& ( big_g(B,A)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_f(A,B) )
& ( big_f(C,A)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,C)
| ~ big_f(A,B) )
& ( big_g(B,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_f(A,B) )
& ( big_f(C,A)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_f(A,B) )
& ( ~ big_f(A,C)
| ~ big_g(C,A)
| ~ big_f(A,C)
| ~ big_f(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN323+1.tptp',unknown),
[] ).
cnf(156826576,plain,
( ~ big_f(A,C)
| big_g(B,A)
| ~ big_f(A,B) ),
inference(rewrite,[status(thm)],[church_46_4_2]),
[] ).
cnf(156916024,plain,
( ~ big_f(A,C)
| ~ big_f(A,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_4_2,156826576]),
[] ).
cnf(156895080,plain,
( big_g(B,A)
| big_f(B,A) ),
inference(rewrite,[status(thm)],[church_46_4_2]),
[] ).
cnf(156911032,plain,
big_f(C,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_4_2,156895080]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[156916024,156911032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(church_46_4_2,plain,(((big_g(B,A)|big_g(B,A)|big_f(B,A)|~big_g(C,A))&(big_f(C,A)|big_g(B,A)|big_f(B,A)|~big_g(C,A))&(~big_f(A,C)|big_g(B,A)|big_f(B,A)|~big_g(C,A))&(big_g(B,A)|~big_g(C,A)|big_f(B,A)|~big_g(C,A))&(big_f(C,A)|~big_g(C,A)|big_f(B,A)|~big_g(C,A))&(~big_f(A,C)|~big_g(C,A)|big_f(B,A)|~big_g(C,A))&(big_g(B,A)|big_g(B,A)|~big_f(A,B)|~big_g(C,A))&(big_f(C,A)|big_g(B,A)|~big_f(A,B)|~big_g(C,A))&(~big_f(A,C)|big_g(B,A)|~big_f(A,B)|~big_g(C,A))&(big_g(B,A)|~big_g(C,A)|~big_f(A,B)|~big_g(C,A))&(big_f(C,A)|~big_g(C,A)|~big_f(A,B)|~big_g(C,A))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,B)|~big_g(C,A))&(big_g(B,A)|big_g(B,A)|big_f(C,A)|~big_g(C,A))&(big_f(C,A)|big_g(B,A)|big_f(C,A)|~big_g(C,A))&(~big_f(A,C)|big_g(B,A)|big_f(C,A)|~big_g(C,A))&(big_g(B,A)|~big_g(C,A)|big_f(C,A)|~big_g(C,A))&(big_f(C,A)|~big_g(C,A)|big_f(C,A)|~big_g(C,A))&(~big_f(A,C)|~big_g(C,A)|big_f(C,A)|~big_g(C,A))&(big_g(B,A)|big_g(B,A)|~big_f(A,C)|~big_g(C,A))&(big_f(C,A)|big_g(B,A)|~big_f(A,C)|~big_g(C,A))&(~big_f(A,C)|big_g(B,A)|~big_f(A,C)|~big_g(C,A))&(big_g(B,A)|~big_g(C,A)|~big_f(A,C)|~big_g(C,A))&(big_f(C,A)|~big_g(C,A)|~big_f(A,C)|~big_g(C,A))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,C)|~big_g(C,A))&(big_g(B,A)|big_g(B,A)|big_f(B,A)|big_f(B,A))&(big_f(C,A)|big_g(B,A)|big_f(B,A)|big_f(B,A))&(~big_f(A,C)|big_g(B,A)|big_f(B,A)|big_f(B,A))&(big_g(B,A)|~big_g(C,A)|big_f(B,A)|big_f(B,A))&(big_f(C,A)|~big_g(C,A)|big_f(B,A)|big_f(B,A))&(~big_f(A,C)|~big_g(C,A)|big_f(B,A)|big_f(B,A))&(big_g(B,A)|big_g(B,A)|~big_f(A,B)|big_f(B,A))&(big_f(C,A)|big_g(B,A)|~big_f(A,B)|big_f(B,A))&(~big_f(A,C)|big_g(B,A)|~big_f(A,B)|big_f(B,A))&(big_g(B,A)|~big_g(C,A)|~big_f(A,B)|big_f(B,A))&(big_f(C,A)|~big_g(C,A)|~big_f(A,B)|big_f(B,A))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,B)|big_f(B,A))&(big_g(B,A)|big_g(B,A)|big_f(C,A)|big_f(B,A))&(big_f(C,A)|big_g(B,A)|big_f(C,A)|big_f(B,A))&(~big_f(A,C)|big_g(B,A)|big_f(C,A)|big_f(B,A))&(big_g(B,A)|~big_g(C,A)|big_f(C,A)|big_f(B,A))&(big_f(C,A)|~big_g(C,A)|big_f(C,A)|big_f(B,A))&(~big_f(A,C)|~big_g(C,A)|big_f(C,A)|big_f(B,A))&(big_g(B,A)|big_g(B,A)|~big_f(A,C)|big_f(B,A))&(big_f(C,A)|big_g(B,A)|~big_f(A,C)|big_f(B,A))&(~big_f(A,C)|big_g(B,A)|~big_f(A,C)|big_f(B,A))&(big_g(B,A)|~big_g(C,A)|~big_f(A,C)|big_f(B,A))&(big_f(C,A)|~big_g(C,A)|~big_f(A,C)|big_f(B,A))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,C)|big_f(B,A))&(big_g(B,A)|big_g(B,A)|big_f(B,A)|~big_f(A,B))&(big_f(C,A)|big_g(B,A)|big_f(B,A)|~big_f(A,B))&(~big_f(A,C)|big_g(B,A)|big_f(B,A)|~big_f(A,B))&(big_g(B,A)|~big_g(C,A)|big_f(B,A)|~big_f(A,B))&(big_f(C,A)|~big_g(C,A)|big_f(B,A)|~big_f(A,B))&(~big_f(A,C)|~big_g(C,A)|big_f(B,A)|~big_f(A,B))&(big_g(B,A)|big_g(B,A)|~big_f(A,B)|~big_f(A,B))&(big_f(C,A)|big_g(B,A)|~big_f(A,B)|~big_f(A,B))&(~big_f(A,C)|big_g(B,A)|~big_f(A,B)|~big_f(A,B))&(big_g(B,A)|~big_g(C,A)|~big_f(A,B)|~big_f(A,B))&(big_f(C,A)|~big_g(C,A)|~big_f(A,B)|~big_f(A,B))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,B)|~big_f(A,B))&(big_g(B,A)|big_g(B,A)|big_f(C,A)|~big_f(A,B))&(big_f(C,A)|big_g(B,A)|big_f(C,A)|~big_f(A,B))&(~big_f(A,C)|big_g(B,A)|big_f(C,A)|~big_f(A,B))&(big_g(B,A)|~big_g(C,A)|big_f(C,A)|~big_f(A,B))&(big_f(C,A)|~big_g(C,A)|big_f(C,A)|~big_f(A,B))&(~big_f(A,C)|~big_g(C,A)|big_f(C,A)|~big_f(A,B))&(big_g(B,A)|big_g(B,A)|~big_f(A,C)|~big_f(A,B))&(big_f(C,A)|big_g(B,A)|~big_f(A,C)|~big_f(A,B))&(~big_f(A,C)|big_g(B,A)|~big_f(A,C)|~big_f(A,B))&(big_g(B,A)|~big_g(C,A)|~big_f(A,C)|~big_f(A,B))&(big_f(C,A)|~big_g(C,A)|~big_f(A,C)|~big_f(A,B))&(~big_f(A,C)|~big_g(C,A)|~big_f(A,C)|~big_f(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN323+1.tptp',unknown),[]).
%
% cnf(156826576,plain,(~big_f(A,C)|big_g(B,A)|~big_f(A,B)),inference(rewrite,[status(thm)],[church_46_4_2]),[]).
%
% cnf(156916024,plain,(~big_f(A,C)|~big_f(A,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_4_2,156826576]),[]).
%
% cnf(156895080,plain,(big_g(B,A)|big_f(B,A)),inference(rewrite,[status(thm)],[church_46_4_2]),[]).
%
% cnf(156911032,plain,(big_f(C,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[church_46_4_2,156895080]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156916024,156911032]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------