TSTP Solution File: PUZ011-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ011-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 15:10:33 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(indian_somalia,plain,
borders(indian,somalia),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154288144,plain,
borders(indian,somalia),
inference(rewrite,[status(thm)],[indian_somalia]),
[] ).
fof(india,plain,
asian(india),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154341752,plain,
asian(india),
inference(rewrite,[status(thm)],[india]),
[] ).
fof(indian,plain,
ocean(indian),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154235304,plain,
ocean(indian),
inference(rewrite,[status(thm)],[indian]),
[] ).
fof(prove_there_is_a_common_ocean,plain,
! [A,B,C] :
( ~ ocean(A)
| ~ borders(A,B)
| ~ african(B)
| ~ borders(A,C)
| ~ asian(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154380536,plain,
( ~ ocean(A)
| ~ borders(A,B)
| ~ african(B)
| ~ borders(A,C)
| ~ asian(C) ),
inference(rewrite,[status(thm)],[prove_there_is_a_common_ocean]),
[] ).
fof(indian_india,plain,
borders(indian,india),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154272064,plain,
borders(indian,india),
inference(rewrite,[status(thm)],[indian_india]),
[] ).
cnf(162660904,plain,
( ~ borders(indian,A)
| ~ african(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154341752,154235304,154380536,154272064]),
[] ).
fof(somalia,plain,
african(somalia),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),
[] ).
cnf(154329632,plain,
african(somalia),
inference(rewrite,[status(thm)],[somalia]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[154288144,162660904,154329632]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(indian_somalia,plain,(borders(indian,somalia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154288144,plain,(borders(indian,somalia)),inference(rewrite,[status(thm)],[indian_somalia]),[]).
%
% fof(india,plain,(asian(india)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154341752,plain,(asian(india)),inference(rewrite,[status(thm)],[india]),[]).
%
% fof(indian,plain,(ocean(indian)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154235304,plain,(ocean(indian)),inference(rewrite,[status(thm)],[indian]),[]).
%
% fof(prove_there_is_a_common_ocean,plain,(~ocean(A)|~borders(A,B)|~african(B)|~borders(A,C)|~asian(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154380536,plain,(~ocean(A)|~borders(A,B)|~african(B)|~borders(A,C)|~asian(C)),inference(rewrite,[status(thm)],[prove_there_is_a_common_ocean]),[]).
%
% fof(indian_india,plain,(borders(indian,india)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154272064,plain,(borders(indian,india)),inference(rewrite,[status(thm)],[indian_india]),[]).
%
% cnf(162660904,plain,(~borders(indian,A)|~african(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154341752,154235304,154380536,154272064]),[]).
%
% fof(somalia,plain,(african(somalia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ011-1.tptp',unknown),[]).
%
% cnf(154329632,plain,(african(somalia)),inference(rewrite,[status(thm)],[somalia]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[154288144,162660904,154329632]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------