TSTP Solution File: SYN070-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN070-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:40:55 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_9,plain,
~ big_g(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166881184,plain,
~ big_g(b),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
fof(clause_5,plain,
! [A] :
( ~ big_f(A)
| big_g(A)
| ~ big_g(a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166839016,plain,
( ~ big_f(A)
| big_g(A)
| ~ big_g(a) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_8,plain,
big_f(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166876416,plain,
big_f(b),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
cnf(177311936,plain,
~ big_g(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166881184,166839016,166876416]),
[] ).
fof(clause_1,plain,
! [A] :
( ~ big_f(A)
| big_f(f(A))
| big_g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166814712,plain,
( ~ big_f(A)
| big_f(f(A))
| big_g(A) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ big_f(A)
| big_g(A)
| big_f(a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166834400,plain,
( ~ big_f(A)
| big_g(A)
| big_f(a) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(177432616,plain,
big_f(a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166876416,166834400,166881184]),
[] ).
cnf(177561896,plain,
( big_f(f(a))
| big_g(a) ),
inference(resolution,[status(thm)],[166814712,177432616]),
[] ).
cnf(177642072,plain,
big_f(f(a)),
inference(resolution,[status(thm)],[177311936,177561896]),
[] ).
fof(clause_6,plain,
! [A,B] :
( ~ big_f(A)
| big_g(A)
| ~ big_f(B)
| big_g(B)
| big_j(a,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166856184,plain,
( ~ big_f(A)
| big_g(A)
| ~ big_f(B)
| big_g(B)
| big_j(a,B) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
fof(clause_3,plain,
! [A] :
( ~ big_f(A)
| ~ big_g(f(A))
| big_g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166827952,plain,
( ~ big_f(A)
| ~ big_g(f(A))
| big_g(A) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(177732888,plain,
~ big_g(f(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177311936,166827952,177432616]),
[] ).
cnf(178685056,plain,
big_j(a,f(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177642072,166856184,177732888]),
[] ).
fof(clause_7,plain,
! [A,B] :
( ~ big_f(A)
| ~ big_f(B)
| ~ big_h(A,B)
| ~ big_j(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166871680,plain,
( ~ big_f(A)
| ~ big_f(B)
| ~ big_h(A,B)
| ~ big_j(B,A) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
fof(clause_2,plain,
! [A] :
( ~ big_f(A)
| big_h(f(A),A)
| big_g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),
[] ).
cnf(166821424,plain,
( ~ big_f(A)
| big_h(f(A),A)
| big_g(A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(177668248,plain,
big_h(f(a),a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177432616,166821424,177311936]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177642072,177432616,178685056,166871680,177668248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_9,plain,(~big_g(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166881184,plain,(~big_g(b)),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% fof(clause_5,plain,(~big_f(A)|big_g(A)|~big_g(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166839016,plain,(~big_f(A)|big_g(A)|~big_g(a)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_8,plain,(big_f(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166876416,plain,(big_f(b)),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% cnf(177311936,plain,(~big_g(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166881184,166839016,166876416]),[]).
%
% fof(clause_1,plain,(~big_f(A)|big_f(f(A))|big_g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166814712,plain,(~big_f(A)|big_f(f(A))|big_g(A)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% fof(clause_4,plain,(~big_f(A)|big_g(A)|big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166834400,plain,(~big_f(A)|big_g(A)|big_f(a)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(177432616,plain,(big_f(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166876416,166834400,166881184]),[]).
%
% cnf(177561896,plain,(big_f(f(a))|big_g(a)),inference(resolution,[status(thm)],[166814712,177432616]),[]).
%
% cnf(177642072,plain,(big_f(f(a))),inference(resolution,[status(thm)],[177311936,177561896]),[]).
%
% fof(clause_6,plain,(~big_f(A)|big_g(A)|~big_f(B)|big_g(B)|big_j(a,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166856184,plain,(~big_f(A)|big_g(A)|~big_f(B)|big_g(B)|big_j(a,B)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% fof(clause_3,plain,(~big_f(A)|~big_g(f(A))|big_g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166827952,plain,(~big_f(A)|~big_g(f(A))|big_g(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(177732888,plain,(~big_g(f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177311936,166827952,177432616]),[]).
%
% cnf(178685056,plain,(big_j(a,f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177642072,166856184,177732888]),[]).
%
% fof(clause_7,plain,(~big_f(A)|~big_f(B)|~big_h(A,B)|~big_j(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166871680,plain,(~big_f(A)|~big_f(B)|~big_h(A,B)|~big_j(B,A)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% fof(clause_2,plain,(~big_f(A)|big_h(f(A),A)|big_g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN070-1.tptp',unknown),[]).
%
% cnf(166821424,plain,(~big_f(A)|big_h(f(A),A)|big_g(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(177668248,plain,(big_h(f(a),a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177432616,166821424,177311936]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177642072,177432616,178685056,166871680,177668248]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------