%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN334-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:49:55 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% 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 : 50 ( 23 ~; 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(clause5,plain,
! [A,B] :
( ~ g(z(A,B),z(A,B))
| f(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162063440,plain,
( ~ g(z(A,B),z(A,B))
| f(A,B) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
fof(clause6,plain,
! [A,B] :
( g(A,B)
| g(z(A,B),z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162073744,plain,
( g(A,B)
| g(z(A,B),z(A,B)) ),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(185541976,plain,
( f(A,B)
| g(A,B) ),
inference(resolution,[status(thm)],[162063440,162073744]),
[] ).
fof(clause2,plain,
! [A,B] :
( ~ f(A,B)
| ~ f(A,z(A,B))
| g(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162043600,plain,
( ~ f(A,B)
| ~ f(A,z(A,B))
| g(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(185679336,plain,
( ~ f(A,z(A,B))
| g(B,z(A,B))
| g(A,B) ),
inference(resolution,[status(thm)],[162043600,185541976]),
[] ).
fof(clause1,plain,
! [A,B] :
( ~ f(A,B)
| f(A,z(A,B))
| ~ g(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162036992,plain,
( ~ f(A,B)
| f(A,z(A,B))
| ~ g(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(185588416,plain,
( ~ f(A,B)
| f(A,z(A,B))
| f(B,z(A,B)) ),
inference(resolution,[status(thm)],[162036992,185541976]),
[] ).
cnf(186089608,plain,
( g(A,z(A,A))
| g(A,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185541976,185679336,185588416]),
[] ).
cnf(186151600,plain,
( g(A,A)
| f(A,z(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185541976,186089608,162036992]),
[] ).
fof(clause7,plain,
! [A,B] :
( ~ g(A,B)
| ~ g(z(A,B),z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162079344,plain,
( ~ g(A,B)
| ~ g(z(A,B),z(A,B)) ),
inference(rewrite,[status(thm)],[clause7]),
[] ).
cnf(185548056,plain,
( ~ g(A,B)
| f(z(A,B),z(A,B)) ),
inference(resolution,[status(thm)],[162079344,185541976]),
[] ).
fof(clause3,plain,
! [A,B] :
( ~ f(z(A,B),z(A,B))
| g(z(A,B),z(A,B))
| ~ f(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),
[] ).
cnf(162051000,plain,
( ~ f(z(A,B),z(A,B))
| g(z(A,B),z(A,B))
| ~ f(A,B) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(186408008,plain,
( ~ f(A,B)
| ~ g(A,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[185548056,162051000,162079344]),
[] ).
cnf(186475360,plain,
g(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186151600,186408008,186089608]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[186475360,186475360,162079344]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause5,plain,(~g(z(A,B),z(A,B))|f(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162063440,plain,(~g(z(A,B),z(A,B))|f(A,B)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% fof(clause6,plain,(g(A,B)|g(z(A,B),z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162073744,plain,(g(A,B)|g(z(A,B),z(A,B))),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(185541976,plain,(f(A,B)|g(A,B)),inference(resolution,[status(thm)],[162063440,162073744]),[]).
%
% fof(clause2,plain,(~f(A,B)|~f(A,z(A,B))|g(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162043600,plain,(~f(A,B)|~f(A,z(A,B))|g(B,z(A,B))),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(185679336,plain,(~f(A,z(A,B))|g(B,z(A,B))|g(A,B)),inference(resolution,[status(thm)],[162043600,185541976]),[]).
%
% fof(clause1,plain,(~f(A,B)|f(A,z(A,B))|~g(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162036992,plain,(~f(A,B)|f(A,z(A,B))|~g(B,z(A,B))),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(185588416,plain,(~f(A,B)|f(A,z(A,B))|f(B,z(A,B))),inference(resolution,[status(thm)],[162036992,185541976]),[]).
%
% cnf(186089608,plain,(g(A,z(A,A))|g(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[185541976,185679336,185588416]),[]).
%
% cnf(186151600,plain,(g(A,A)|f(A,z(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[185541976,186089608,162036992]),[]).
%
% fof(clause7,plain,(~g(A,B)|~g(z(A,B),z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162079344,plain,(~g(A,B)|~g(z(A,B),z(A,B))),inference(rewrite,[status(thm)],[clause7]),[]).
%
% cnf(185548056,plain,(~g(A,B)|f(z(A,B),z(A,B))),inference(resolution,[status(thm)],[162079344,185541976]),[]).
%
% fof(clause3,plain,(~f(z(A,B),z(A,B))|g(z(A,B),z(A,B))|~f(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN334-1.tptp',unknown),[]).
%
% cnf(162051000,plain,(~f(z(A,B),z(A,B))|g(z(A,B),z(A,B))|~f(A,B)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(186408008,plain,(~f(A,B)|~g(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[185548056,162051000,162079344]),[]).
%
% cnf(186475360,plain,(g(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186151600,186408008,186089608]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[186475360,186475360,162079344]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------