TSTP Solution File: SYN065+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN065+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:40:22 EDT 2009
% Result : Theorem 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 27 ( 13 ~; 11 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel36_3,plain,
! [B,C,A] :
( ( ~ big_g(B,C)
| big_h(A,C)
| ~ big_f(A,B) )
& ( ~ big_f(B,C)
| big_h(A,C)
| ~ big_f(A,B) )
& ( ~ big_g(B,C)
| big_h(A,C)
| ~ big_g(A,B) )
& ( ~ big_f(B,C)
| big_h(A,C)
| ~ big_g(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
[] ).
cnf(173441264,plain,
( ~ big_f(B,C)
| big_h(A,C)
| ~ big_g(A,B) ),
inference(rewrite,[status(thm)],[pel36_3]),
[] ).
fof(pel36_1,plain,
! [A] : big_f(A,y(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
[] ).
cnf(173424976,plain,
big_f(A,y(A)),
inference(rewrite,[status(thm)],[pel36_1]),
[] ).
cnf(181287392,plain,
( big_h(A,y(B))
| ~ big_g(A,B) ),
inference(resolution,[status(thm)],[173441264,173424976]),
[] ).
fof(pel36_2,plain,
! [A] : big_g(A,y(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
[] ).
cnf(173429768,plain,
big_g(A,y(A)),
inference(rewrite,[status(thm)],[pel36_2]),
[] ).
cnf(181335872,plain,
big_h(A,y(y(A))),
inference(resolution,[status(thm)],[181287392,173429768]),
[] ).
fof(pel36,plain,
! [B] : ~ big_h(x,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),
[] ).
cnf(173496184,plain,
~ big_h(x,B),
inference(rewrite,[status(thm)],[pel36]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181335872,173496184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel36_3,plain,(((~big_g(B,C)|big_h(A,C)|~big_f(A,B))&(~big_f(B,C)|big_h(A,C)|~big_f(A,B))&(~big_g(B,C)|big_h(A,C)|~big_g(A,B))&(~big_f(B,C)|big_h(A,C)|~big_g(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
%
% cnf(173441264,plain,(~big_f(B,C)|big_h(A,C)|~big_g(A,B)),inference(rewrite,[status(thm)],[pel36_3]),[]).
%
% fof(pel36_1,plain,(big_f(A,y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
%
% cnf(173424976,plain,(big_f(A,y(A))),inference(rewrite,[status(thm)],[pel36_1]),[]).
%
% cnf(181287392,plain,(big_h(A,y(B))|~big_g(A,B)),inference(resolution,[status(thm)],[173441264,173424976]),[]).
%
% fof(pel36_2,plain,(big_g(A,y(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
%
% cnf(173429768,plain,(big_g(A,y(A))),inference(rewrite,[status(thm)],[pel36_2]),[]).
%
% cnf(181335872,plain,(big_h(A,y(y(A)))),inference(resolution,[status(thm)],[181287392,173429768]),[]).
%
% fof(pel36,plain,(~big_h(x,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN065+1.tptp',unknown),[]).
%
% cnf(173496184,plain,(~big_h(x,B)),inference(rewrite,[status(thm)],[pel36]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181335872,173496184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------