TSTP Solution File: MSC012+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MSC012+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 14:19:25 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 25 ~; 25 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 29 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(left_to_right,plain,
! [A,B] :
( ~ p(A)
| ~ less(A,B)
| ~ p(B)
| goal ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),
[] ).
cnf(154606576,plain,
( ~ p(A)
| ~ less(A,B)
| ~ p(B)
| goal ),
inference(rewrite,[status(thm)],[left_to_right]),
[] ).
fof(goal_to_be_proved,plain,
~ goal,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),
[] ).
cnf(154645064,plain,
~ goal,
inference(rewrite,[status(thm)],[goal_to_be_proved]),
[] ).
cnf(162416264,plain,
( ~ p(A)
| ~ less(A,B)
| ~ p(B) ),
inference(resolution,[status(thm)],[154606576,154645064]),
[] ).
fof(serial_less,plain,
! [A] : less(A,b(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),
[] ).
cnf(154631320,plain,
less(A,b(A)),
inference(rewrite,[status(thm)],[serial_less]),
[] ).
cnf(162462856,plain,
( ~ p(A)
| ~ p(b(A)) ),
inference(resolution,[status(thm)],[162416264,154631320]),
[] ).
fof(right_to_left,plain,
! [A] :
( ( p(b(A))
| p(A) )
& ( less(A,b(A))
| p(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),
[] ).
cnf(154619488,plain,
( p(b(A))
| p(A) ),
inference(rewrite,[status(thm)],[right_to_left]),
[] ).
cnf(162526712,plain,
( ~ p(A)
| ~ less(A,B)
| p(b(B)) ),
inference(resolution,[status(thm)],[162416264,154619488]),
[] ).
cnf(164270248,plain,
( ~ p(A)
| p(b(b(A))) ),
inference(resolution,[status(thm)],[162526712,154631320]),
[] ).
fof(transitive_less,plain,
! [A,B,C] :
( ~ less(A,B)
| ~ less(B,C)
| less(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),
[] ).
cnf(154627576,plain,
( ~ less(A,B)
| ~ less(B,C)
| less(A,C) ),
inference(rewrite,[status(thm)],[transitive_less]),
[] ).
cnf(162436952,plain,
( ~ less(b(A),B)
| less(A,B) ),
inference(resolution,[status(thm)],[154627576,154631320]),
[] ).
cnf(154613096,plain,
( less(A,b(A))
| p(A) ),
inference(rewrite,[status(thm)],[right_to_left]),
[] ).
cnf(163060208,plain,
( less(A,b(b(A)))
| p(b(A)) ),
inference(resolution,[status(thm)],[162436952,154613096]),
[] ).
cnf(164931352,plain,
~ p(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162462856,164270248,163060208,162416264]),
[] ).
cnf(162572496,plain,
( ~ p(b(b(A)))
| p(A) ),
inference(resolution,[status(thm)],[162462856,154619488]),
[] ).
cnf(162480600,plain,
( ~ less(b(B),A)
| ~ p(A)
| p(B) ),
inference(resolution,[status(thm)],[162416264,154619488]),
[] ).
cnf(164952240,plain,
p(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154619488,162572496,163060208,162480600]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164931352,164952240]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(left_to_right,plain,(~p(A)|~less(A,B)|~p(B)|goal),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),[]).
%
% cnf(154606576,plain,(~p(A)|~less(A,B)|~p(B)|goal),inference(rewrite,[status(thm)],[left_to_right]),[]).
%
% fof(goal_to_be_proved,plain,(~goal),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),[]).
%
% cnf(154645064,plain,(~goal),inference(rewrite,[status(thm)],[goal_to_be_proved]),[]).
%
% cnf(162416264,plain,(~p(A)|~less(A,B)|~p(B)),inference(resolution,[status(thm)],[154606576,154645064]),[]).
%
% fof(serial_less,plain,(less(A,b(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),[]).
%
% cnf(154631320,plain,(less(A,b(A))),inference(rewrite,[status(thm)],[serial_less]),[]).
%
% cnf(162462856,plain,(~p(A)|~p(b(A))),inference(resolution,[status(thm)],[162416264,154631320]),[]).
%
% fof(right_to_left,plain,(((p(b(A))|p(A))&(less(A,b(A))|p(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),[]).
%
% cnf(154619488,plain,(p(b(A))|p(A)),inference(rewrite,[status(thm)],[right_to_left]),[]).
%
% cnf(162526712,plain,(~p(A)|~less(A,B)|p(b(B))),inference(resolution,[status(thm)],[162416264,154619488]),[]).
%
% cnf(164270248,plain,(~p(A)|p(b(b(A)))),inference(resolution,[status(thm)],[162526712,154631320]),[]).
%
% fof(transitive_less,plain,(~less(A,B)|~less(B,C)|less(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MSC/MSC012+1.tptp',unknown),[]).
%
% cnf(154627576,plain,(~less(A,B)|~less(B,C)|less(A,C)),inference(rewrite,[status(thm)],[transitive_less]),[]).
%
% cnf(162436952,plain,(~less(b(A),B)|less(A,B)),inference(resolution,[status(thm)],[154627576,154631320]),[]).
%
% cnf(154613096,plain,(less(A,b(A))|p(A)),inference(rewrite,[status(thm)],[right_to_left]),[]).
%
% cnf(163060208,plain,(less(A,b(b(A)))|p(b(A))),inference(resolution,[status(thm)],[162436952,154613096]),[]).
%
% cnf(164931352,plain,(~p(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162462856,164270248,163060208,162416264]),[]).
%
% cnf(162572496,plain,(~p(b(b(A)))|p(A)),inference(resolution,[status(thm)],[162462856,154619488]),[]).
%
% cnf(162480600,plain,(~less(b(B),A)|~p(A)|p(B)),inference(resolution,[status(thm)],[162416264,154619488]),[]).
%
% cnf(164952240,plain,(p(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154619488,162572496,163060208,162480600]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164931352,164952240]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------