TSTP Solution File: PUZ038-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ038-1 : TPTP v3.4.2. Released v2.4.0.
% 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 15:12:34 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 56 ( 21 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(v3_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)
| state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),
[] ).
cnf(146553520,plain,
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)
| state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L) ),
inference(rewrite,[status(thm)],[v3_down]),
[] ).
fof(goal_state,plain,
! [A,B,C,D,E,F,G,H,I,J,K] : ~ state(A,B,C,v3(s(s(s(o))),o),D,E,F,G,H,I,J,K),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),
[] ).
cnf(146681760,plain,
~ state(A,B,C,v3(s(s(s(o))),o),D,E,F,G,H,I,J,K),
inference(rewrite,[status(thm)],[goal_state]),
[] ).
cnf(154558408,plain,
~ state(A,B,C,v3(s(s(o)),o),D,E,F,G,H,I,e1(s(s(s(s(o)))),o),J),
inference(resolution,[status(thm)],[146553520,146681760]),
[] ).
fof(initial_state,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),
[] ).
cnf(146681144,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(rewrite,[status(thm)],[initial_state]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[154558408,146681144]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(v3_down,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)|state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),[]).
%
% cnf(146553520,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)|state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L)),inference(rewrite,[status(thm)],[v3_down]),[]).
%
% fof(goal_state,plain,(~state(A,B,C,v3(s(s(s(o))),o),D,E,F,G,H,I,J,K)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),[]).
%
% cnf(146681760,plain,(~state(A,B,C,v3(s(s(s(o))),o),D,E,F,G,H,I,J,K)),inference(rewrite,[status(thm)],[goal_state]),[]).
%
% cnf(154558408,plain,(~state(A,B,C,v3(s(s(o)),o),D,E,F,G,H,I,e1(s(s(s(s(o)))),o),J)),inference(resolution,[status(thm)],[146553520,146681760]),[]).
%
% fof(initial_state,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ038-1.tptp',unknown),[]).
%
% cnf(146681144,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))),inference(rewrite,[status(thm)],[initial_state]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[154558408,146681144]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------