TSTP Solution File: SYN727+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN727+1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 18:20:33 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 29 ( 11 ~; 10 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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; 0-4 aty)
% Number of variables : 12 ( 6 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm68,plain,
! [D,A,B,C] :
( ( ~ likes(D,v(A,B,C,D))
| likes(lyle,B) )
& ( ~ likes(B,C)
| likes(lyle,B) )
& ( likes(A,bruce)
| likes(lyle,B) )
& ( ~ likes(D,v(A,B,C,D))
| likes(A,bruce) )
& ( ~ likes(B,C)
| likes(A,bruce) )
& ( likes(A,bruce)
| likes(A,bruce) )
& ( ~ likes(D,v(A,B,C,D))
| ~ likes(D,v(A,B,C,D)) )
& ( ~ likes(B,C)
| ~ likes(D,v(A,B,C,D)) )
& ( likes(A,bruce)
| ~ likes(D,v(A,B,C,D)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN727+1.tptp',unknown),
[] ).
cnf(141339328,plain,
( ~ likes(B,C)
| likes(lyle,B) ),
inference(rewrite,[status(thm)],[thm68]),
[] ).
cnf(141329472,plain,
likes(A,bruce),
inference(rewrite,[status(thm)],[thm68]),
[] ).
cnf(159605696,plain,
likes(lyle,B),
inference(resolution,[status(thm)],[141339328,141329472]),
[] ).
cnf(141325808,plain,
~ likes(D,v(A,B,C,D)),
inference(rewrite,[status(thm)],[thm68]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[159605696,141325808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm68,plain,(((~likes(D,v(A,B,C,D))|likes(lyle,B))&(~likes(B,C)|likes(lyle,B))&(likes(A,bruce)|likes(lyle,B))&(~likes(D,v(A,B,C,D))|likes(A,bruce))&(~likes(B,C)|likes(A,bruce))&(likes(A,bruce)|likes(A,bruce))&(~likes(D,v(A,B,C,D))|~likes(D,v(A,B,C,D)))&(~likes(B,C)|~likes(D,v(A,B,C,D)))&(likes(A,bruce)|~likes(D,v(A,B,C,D))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN727+1.tptp',unknown),[]).
%
% cnf(141339328,plain,(~likes(B,C)|likes(lyle,B)),inference(rewrite,[status(thm)],[thm68]),[]).
%
% cnf(141329472,plain,(likes(A,bruce)),inference(rewrite,[status(thm)],[thm68]),[]).
%
% cnf(159605696,plain,(likes(lyle,B)),inference(resolution,[status(thm)],[141339328,141329472]),[]).
%
% cnf(141325808,plain,(~likes(D,v(A,B,C,D))),inference(rewrite,[status(thm)],[thm68]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159605696,141325808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------