%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN352-1 : 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 17:51:01 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 2 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 10 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause7,plain,
! [A,B] :
( ~ f(A,B)
| f(A,z(A,B))
| f(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),
[] ).
cnf(158513728,plain,
( ~ f(A,B)
| f(A,z(A,B))
| f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause7]),
[] ).
fof(clause3,plain,
! [A,B] :
( f(A,B)
| f(z(A,B),z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),
[] ).
cnf(158479136,plain,
( f(A,B)
| f(z(A,B),z(A,B)) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(182218848,plain,
( f(z(A,B),z(z(A,B),z(A,B)))
| f(A,B) ),
inference(resolution,[status(thm)],[158513728,158479136]),
[] ).
fof(clause6,plain,
! [A,B] :
( ~ f(A,B)
| ~ f(A,z(A,B))
| ~ f(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),
[] ).
cnf(158508224,plain,
( ~ f(A,B)
| ~ f(A,z(A,B))
| ~ f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(182346576,plain,
f(A,B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182218848,158508224,158479136]),
[] ).
fof(clause2,plain,
! [A,B] :
( ~ f(A,B)
| f(b,z(A,B))
| f(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),
[] ).
cnf(158473296,plain,
( ~ f(A,B)
| f(b,z(A,B))
| f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182346576,158508224,158473296]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause7,plain,(~f(A,B)|f(A,z(A,B))|f(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),[]).
%
% cnf(158513728,plain,(~f(A,B)|f(A,z(A,B))|f(B,z(A,B))),inference(rewrite,[status(thm)],[clause7]),[]).
%
% fof(clause3,plain,(f(A,B)|f(z(A,B),z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),[]).
%
% cnf(158479136,plain,(f(A,B)|f(z(A,B),z(A,B))),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(182218848,plain,(f(z(A,B),z(z(A,B),z(A,B)))|f(A,B)),inference(resolution,[status(thm)],[158513728,158479136]),[]).
%
% fof(clause6,plain,(~f(A,B)|~f(A,z(A,B))|~f(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),[]).
%
% cnf(158508224,plain,(~f(A,B)|~f(A,z(A,B))|~f(B,z(A,B))),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(182346576,plain,(f(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182218848,158508224,158479136]),[]).
%
% fof(clause2,plain,(~f(A,B)|f(b,z(A,B))|f(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN352-1.tptp',unknown),[]).
%
% cnf(158473296,plain,(~f(A,B)|f(b,z(A,B))|f(B,z(A,B))),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182346576,158508224,158473296]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------