TSTP Solution File: SYN038-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN038-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 16:38:35 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] :
( p(A,B)
| ~ q(f(A,B),f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171526880,plain,
( p(A,B)
| ~ q(f(A,B),f(A,B)) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_6,plain,
! [A,B] :
( q(A,B)
| q(f(A,B),f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171537120,plain,
( q(A,B)
| q(f(A,B),f(A,B)) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(195005456,plain,
( p(A,B)
| q(A,B) ),
inference(resolution,[status(thm)],[171526880,171537120]),
[] ).
fof(clause_1,plain,
! [A,B] :
( ~ p(A,f(A,B))
| ~ p(A,B)
| q(B,f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171497896,plain,
( ~ p(A,f(A,B))
| ~ p(A,B)
| q(B,f(A,B)) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(195046536,plain,
( ~ p(A,B)
| q(B,f(A,B))
| q(A,f(A,B)) ),
inference(resolution,[status(thm)],[171497896,195005456]),
[] ).
cnf(195246400,plain,
( q(B,f(A,B))
| q(A,f(A,B))
| q(A,B) ),
inference(resolution,[status(thm)],[195046536,195005456]),
[] ).
fof(clause_2,plain,
! [A,B] :
( ~ p(A,B)
| ~ q(B,f(A,B))
| p(A,f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171509448,plain,
( ~ p(A,B)
| ~ q(B,f(A,B))
| p(A,f(A,B)) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(195422728,plain,
( q(A,A)
| p(A,f(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195005456,195246400,171509448]),
[] ).
cnf(195478488,plain,
( q(A,A)
| q(A,f(A,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195005456,195422728,171497896]),
[] ).
fof(clause_7,plain,
! [A,B] :
( ~ q(A,B)
| ~ q(f(A,B),f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171543536,plain,
( ~ q(A,B)
| ~ q(f(A,B),f(A,B)) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(195011528,plain,
( ~ q(A,B)
| p(f(A,B),f(A,B)) ),
inference(resolution,[status(thm)],[171543536,195005456]),
[] ).
fof(clause_3,plain,
! [A,B] :
( ~ p(A,B)
| ~ p(f(A,B),f(A,B))
| q(f(A,B),f(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),
[] ).
cnf(171516008,plain,
( ~ p(A,B)
| ~ p(f(A,B),f(A,B))
| q(f(A,B),f(A,B)) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(195886296,plain,
( ~ p(A,B)
| ~ q(A,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195011528,171516008,171543536]),
[] ).
cnf(195951520,plain,
q(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195478488,195886296,195422728]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[195951520,195951520,171543536]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(p(A,B)|~q(f(A,B),f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171526880,plain,(p(A,B)|~q(f(A,B),f(A,B))),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_6,plain,(q(A,B)|q(f(A,B),f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171537120,plain,(q(A,B)|q(f(A,B),f(A,B))),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(195005456,plain,(p(A,B)|q(A,B)),inference(resolution,[status(thm)],[171526880,171537120]),[]).
%
% fof(clause_1,plain,(~p(A,f(A,B))|~p(A,B)|q(B,f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171497896,plain,(~p(A,f(A,B))|~p(A,B)|q(B,f(A,B))),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(195046536,plain,(~p(A,B)|q(B,f(A,B))|q(A,f(A,B))),inference(resolution,[status(thm)],[171497896,195005456]),[]).
%
% cnf(195246400,plain,(q(B,f(A,B))|q(A,f(A,B))|q(A,B)),inference(resolution,[status(thm)],[195046536,195005456]),[]).
%
% fof(clause_2,plain,(~p(A,B)|~q(B,f(A,B))|p(A,f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171509448,plain,(~p(A,B)|~q(B,f(A,B))|p(A,f(A,B))),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(195422728,plain,(q(A,A)|p(A,f(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195005456,195246400,171509448]),[]).
%
% cnf(195478488,plain,(q(A,A)|q(A,f(A,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195005456,195422728,171497896]),[]).
%
% fof(clause_7,plain,(~q(A,B)|~q(f(A,B),f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171543536,plain,(~q(A,B)|~q(f(A,B),f(A,B))),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(195011528,plain,(~q(A,B)|p(f(A,B),f(A,B))),inference(resolution,[status(thm)],[171543536,195005456]),[]).
%
% fof(clause_3,plain,(~p(A,B)|~p(f(A,B),f(A,B))|q(f(A,B),f(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN038-1.tptp',unknown),[]).
%
% cnf(171516008,plain,(~p(A,B)|~p(f(A,B),f(A,B))|q(f(A,B),f(A,B))),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(195886296,plain,(~p(A,B)|~q(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[195011528,171516008,171543536]),[]).
%
% cnf(195951520,plain,(q(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[195478488,195886296,195422728]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[195951520,195951520,171543536]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------