TSTP Solution File: SYN012-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN012-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:37:50 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 2 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 37 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_5,plain,
! [A,B] :
( big_f(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147062280,plain,
( big_f(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_6,plain,
! [A,B] :
( big_g(A,B)
| big_g(g(A,B),g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147072520,plain,
( big_g(A,B)
| big_g(g(A,B),g(A,B)) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(170540712,plain,
( big_f(A,B)
| big_g(A,B) ),
inference(resolution,[status(thm)],[147062280,147072520]),
[] ).
fof(clause_1,plain,
! [A,B] :
( ~ big_f(A,B)
| ~ big_f(A,g(A,B))
| big_g(B,g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147034936,plain,
( ~ big_f(A,B)
| ~ big_f(A,g(A,B))
| big_g(B,g(A,B)) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(170579352,plain,
( ~ big_f(A,g(A,B))
| big_g(B,g(A,B))
| big_g(A,B) ),
inference(resolution,[status(thm)],[147034936,170540712]),
[] ).
cnf(170779280,plain,
( big_g(B,g(A,B))
| big_g(A,B)
| big_g(A,g(A,B)) ),
inference(resolution,[status(thm)],[170579352,170540712]),
[] ).
fof(clause_2,plain,
! [A,B] :
( ~ big_f(A,B)
| big_f(A,g(A,B))
| ~ big_g(B,g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147045648,plain,
( ~ big_f(A,B)
| big_f(A,g(A,B))
| ~ big_g(B,g(A,B)) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(170957112,plain,
( big_g(A,A)
| big_f(A,g(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170540712,170779280,147045648]),
[] ).
cnf(171029792,plain,
( big_g(A,A)
| big_g(A,g(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170540712,170957112,147034936]),
[] ).
fof(clause_7,plain,
! [A,B] :
( ~ big_g(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147078936,plain,
( ~ big_g(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(170546792,plain,
( ~ big_g(A,B)
| big_f(g(A,B),g(A,B)) ),
inference(resolution,[status(thm)],[147078936,170540712]),
[] ).
fof(clause_3,plain,
! [A,B] :
( ~ big_f(A,B)
| ~ big_f(g(A,B),g(A,B))
| big_g(g(A,B),g(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),
[] ).
cnf(147051408,plain,
( ~ big_f(A,B)
| ~ big_f(g(A,B),g(A,B))
| big_g(g(A,B),g(A,B)) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(171380696,plain,
( ~ big_f(A,B)
| ~ big_g(A,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170546792,147051408,147078936]),
[] ).
cnf(171444224,plain,
big_g(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171029792,171380696,170957112]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[171444224,171444224,147078936]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(big_f(A,B)|~big_g(g(A,B),g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147062280,plain,(big_f(A,B)|~big_g(g(A,B),g(A,B))),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_6,plain,(big_g(A,B)|big_g(g(A,B),g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147072520,plain,(big_g(A,B)|big_g(g(A,B),g(A,B))),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(170540712,plain,(big_f(A,B)|big_g(A,B)),inference(resolution,[status(thm)],[147062280,147072520]),[]).
%
% fof(clause_1,plain,(~big_f(A,B)|~big_f(A,g(A,B))|big_g(B,g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147034936,plain,(~big_f(A,B)|~big_f(A,g(A,B))|big_g(B,g(A,B))),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(170579352,plain,(~big_f(A,g(A,B))|big_g(B,g(A,B))|big_g(A,B)),inference(resolution,[status(thm)],[147034936,170540712]),[]).
%
% cnf(170779280,plain,(big_g(B,g(A,B))|big_g(A,B)|big_g(A,g(A,B))),inference(resolution,[status(thm)],[170579352,170540712]),[]).
%
% fof(clause_2,plain,(~big_f(A,B)|big_f(A,g(A,B))|~big_g(B,g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147045648,plain,(~big_f(A,B)|big_f(A,g(A,B))|~big_g(B,g(A,B))),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(170957112,plain,(big_g(A,A)|big_f(A,g(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[170540712,170779280,147045648]),[]).
%
% cnf(171029792,plain,(big_g(A,A)|big_g(A,g(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[170540712,170957112,147034936]),[]).
%
% fof(clause_7,plain,(~big_g(A,B)|~big_g(g(A,B),g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147078936,plain,(~big_g(A,B)|~big_g(g(A,B),g(A,B))),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(170546792,plain,(~big_g(A,B)|big_f(g(A,B),g(A,B))),inference(resolution,[status(thm)],[147078936,170540712]),[]).
%
% fof(clause_3,plain,(~big_f(A,B)|~big_f(g(A,B),g(A,B))|big_g(g(A,B),g(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN012-1.tptp',unknown),[]).
%
% cnf(147051408,plain,(~big_f(A,B)|~big_f(g(A,B),g(A,B))|big_g(g(A,B),g(A,B))),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(171380696,plain,(~big_f(A,B)|~big_g(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170546792,147051408,147078936]),[]).
%
% cnf(171444224,plain,(big_g(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171029792,171380696,170957112]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[171444224,171444224,147078936]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------