TSTP Solution File: SYN347-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN347-1 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 17:50:42 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 : 19 ( 4 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause1,plain,
! [A,B] :
( f(A,y(A,B))
| ~ f(B,y(A,B))
| f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149046256,plain,
( f(A,y(A,B))
| ~ f(B,y(A,B))
| f(a,b) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(clause5,plain,
! [A,B] :
( f(a,y(A,B))
| f(b,y(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149072432,plain,
( f(a,y(A,B))
| f(b,y(A,B)) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(169936672,plain,
( f(A,y(A,a))
| f(a,b)
| f(b,y(A,a)) ),
inference(resolution,[status(thm)],[149046256,149072432]),
[] ).
fof(clause6,plain,
! [A,B] :
( ~ f(a,y(A,B))
| ~ f(b,y(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149082272,plain,
( ~ f(a,y(A,B))
| ~ f(b,y(A,B)) ),
inference(rewrite,[status(thm)],[clause6]),
[] ).
cnf(170100896,plain,
( f(a,b)
| ~ f(a,y(b,a)) ),
inference(resolution,[status(thm)],[169936672,149082272]),
[] ).
fof(clause2,plain,
! [A,B] :
( ~ f(A,y(A,B))
| f(B,y(A,B))
| f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149054672,plain,
( ~ f(A,y(A,B))
| f(B,y(A,B))
| f(a,b) ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
cnf(170128368,plain,
( f(a,b)
| f(a,y(b,a)) ),
inference(resolution,[status(thm)],[169936672,149054672]),
[] ).
cnf(170154096,plain,
f(a,b),
inference(resolution,[status(thm)],[170100896,170128368]),
[] ).
fof(clause4,plain,
! [A,B] :
( f(A,y(A,B))
| f(B,y(A,B))
| ~ f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149067192,plain,
( f(A,y(A,B))
| f(B,y(A,B))
| ~ f(a,b) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(170204856,plain,
~ f(b,y(a,a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170154096,149067192,149082272]),
[] ).
cnf(170231040,plain,
f(a,y(a,a)),
inference(resolution,[status(thm)],[170204856,149072432]),
[] ).
fof(clause3,plain,
! [A,B] :
( ~ f(A,y(A,B))
| ~ f(B,y(A,B))
| ~ f(a,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),
[] ).
cnf(149060896,plain,
( ~ f(A,y(A,B))
| ~ f(B,y(A,B))
| ~ f(a,b) ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[170231040,170154096,149060896,170231040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause1,plain,(f(A,y(A,B))|~f(B,y(A,B))|f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149046256,plain,(f(A,y(A,B))|~f(B,y(A,B))|f(a,b)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(clause5,plain,(f(a,y(A,B))|f(b,y(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149072432,plain,(f(a,y(A,B))|f(b,y(A,B))),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(169936672,plain,(f(A,y(A,a))|f(a,b)|f(b,y(A,a))),inference(resolution,[status(thm)],[149046256,149072432]),[]).
%
% fof(clause6,plain,(~f(a,y(A,B))|~f(b,y(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149082272,plain,(~f(a,y(A,B))|~f(b,y(A,B))),inference(rewrite,[status(thm)],[clause6]),[]).
%
% cnf(170100896,plain,(f(a,b)|~f(a,y(b,a))),inference(resolution,[status(thm)],[169936672,149082272]),[]).
%
% fof(clause2,plain,(~f(A,y(A,B))|f(B,y(A,B))|f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149054672,plain,(~f(A,y(A,B))|f(B,y(A,B))|f(a,b)),inference(rewrite,[status(thm)],[clause2]),[]).
%
% cnf(170128368,plain,(f(a,b)|f(a,y(b,a))),inference(resolution,[status(thm)],[169936672,149054672]),[]).
%
% cnf(170154096,plain,(f(a,b)),inference(resolution,[status(thm)],[170100896,170128368]),[]).
%
% fof(clause4,plain,(f(A,y(A,B))|f(B,y(A,B))|~f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149067192,plain,(f(A,y(A,B))|f(B,y(A,B))|~f(a,b)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(170204856,plain,(~f(b,y(a,a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[170154096,149067192,149082272]),[]).
%
% cnf(170231040,plain,(f(a,y(a,a))),inference(resolution,[status(thm)],[170204856,149072432]),[]).
%
% fof(clause3,plain,(~f(A,y(A,B))|~f(B,y(A,B))|~f(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN347-1.tptp',unknown),[]).
%
% cnf(149060896,plain,(~f(A,y(A,B))|~f(B,y(A,B))|~f(a,b)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[170231040,170154096,149060896,170231040]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------