TSTP Solution File: LCL011-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL011-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:39:47 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),
[] ).
cnf(172446400,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(yqj,plain,
! [A,B,C] : is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(B,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),
[] ).
cnf(172451256,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(B,C)))),
inference(rewrite,[status(thm)],[yqj]),
[] ).
cnf(180229880,plain,
( ~ is_a_theorem(equivalent(A,B))
| is_a_theorem(equivalent(equivalent(C,A),equivalent(B,C))) ),
inference(resolution,[status(thm)],[172446400,172451256]),
[] ).
cnf(180407376,plain,
is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(D,B),equivalent(C,D)),A))),
inference(resolution,[status(thm)],[180229880,172451256]),
[] ).
cnf(180249480,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,B),equivalent(C,D))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[172446400,172451256]),
[] ).
cnf(181999728,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(D,B)),equivalent(equivalent(C,D),A)),equivalent(B,C))),
inference(resolution,[status(thm)],[180407376,180249480]),
[] ).
cnf(183937688,plain,
( ~ is_a_theorem(equivalent(equivalent(A,equivalent(D,B)),equivalent(equivalent(C,D),A)))
| is_a_theorem(equivalent(B,C)) ),
inference(resolution,[status(thm)],[172446400,181999728]),
[] ).
cnf(183999376,plain,
is_a_theorem(equivalent(B,equivalent(C,equivalent(B,C)))),
inference(resolution,[status(thm)],[183937688,180407376]),
[] ).
cnf(184077088,plain,
( ~ is_a_theorem(equivalent(equivalent(C,equivalent(D,equivalent(C,D))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[172446400,183999376]),
[] ).
cnf(184213280,plain,
is_a_theorem(equivalent(equivalent(equivalent(D,C),equivalent(equivalent(B,C),D)),B)),
inference(resolution,[status(thm)],[184077088,180407376]),
[] ).
cnf(184769552,plain,
( ~ is_a_theorem(equivalent(equivalent(D,C),equivalent(equivalent(A,C),D)))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[172446400,184213280]),
[] ).
cnf(184919800,plain,
is_a_theorem(equivalent(C,C)),
inference(resolution,[status(thm)],[184769552,180407376]),
[] ).
cnf(184981944,plain,
is_a_theorem(equivalent(equivalent(B,A),equivalent(A,B))),
inference(resolution,[status(thm)],[180229880,184919800]),
[] ).
cnf(185088232,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(B,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[172446400,184981944]),
[] ).
cnf(185283888,plain,
is_a_theorem(equivalent(equivalent(equivalent(C,A),equivalent(B,C)),equivalent(B,A))),
inference(resolution,[status(thm)],[185088232,180407376]),
[] ).
cnf(180387392,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(equivalent(C,A))
| is_a_theorem(equivalent(B,C)) ),
inference(resolution,[status(thm)],[180229880,172446400]),
[] ).
fof(prove_yqf,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),
[] ).
cnf(172455472,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(rewrite,[status(thm)],[prove_yqf]),
[] ).
cnf(180567320,plain,
( ~ is_a_theorem(equivalent(A,equivalent(a,b)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),A)) ),
inference(resolution,[status(thm)],[180387392,172455472]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[185283888,184981944,180567320]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),[]).
%
% cnf(172446400,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(yqj,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(B,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),[]).
%
% cnf(172451256,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(B,C))))),inference(rewrite,[status(thm)],[yqj]),[]).
%
% cnf(180229880,plain,(~is_a_theorem(equivalent(A,B))|is_a_theorem(equivalent(equivalent(C,A),equivalent(B,C)))),inference(resolution,[status(thm)],[172446400,172451256]),[]).
%
% cnf(180407376,plain,(is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(equivalent(D,B),equivalent(C,D)),A)))),inference(resolution,[status(thm)],[180229880,172451256]),[]).
%
% cnf(180249480,plain,(~is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,B),equivalent(C,D))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[172446400,172451256]),[]).
%
% cnf(181999728,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(D,B)),equivalent(equivalent(C,D),A)),equivalent(B,C)))),inference(resolution,[status(thm)],[180407376,180249480]),[]).
%
% cnf(183937688,plain,(~is_a_theorem(equivalent(equivalent(A,equivalent(D,B)),equivalent(equivalent(C,D),A)))|is_a_theorem(equivalent(B,C))),inference(resolution,[status(thm)],[172446400,181999728]),[]).
%
% cnf(183999376,plain,(is_a_theorem(equivalent(B,equivalent(C,equivalent(B,C))))),inference(resolution,[status(thm)],[183937688,180407376]),[]).
%
% cnf(184077088,plain,(~is_a_theorem(equivalent(equivalent(C,equivalent(D,equivalent(C,D))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[172446400,183999376]),[]).
%
% cnf(184213280,plain,(is_a_theorem(equivalent(equivalent(equivalent(D,C),equivalent(equivalent(B,C),D)),B))),inference(resolution,[status(thm)],[184077088,180407376]),[]).
%
% cnf(184769552,plain,(~is_a_theorem(equivalent(equivalent(D,C),equivalent(equivalent(A,C),D)))|is_a_theorem(A)),inference(resolution,[status(thm)],[172446400,184213280]),[]).
%
% cnf(184919800,plain,(is_a_theorem(equivalent(C,C))),inference(resolution,[status(thm)],[184769552,180407376]),[]).
%
% cnf(184981944,plain,(is_a_theorem(equivalent(equivalent(B,A),equivalent(A,B)))),inference(resolution,[status(thm)],[180229880,184919800]),[]).
%
% cnf(185088232,plain,(~is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(B,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[172446400,184981944]),[]).
%
% cnf(185283888,plain,(is_a_theorem(equivalent(equivalent(equivalent(C,A),equivalent(B,C)),equivalent(B,A)))),inference(resolution,[status(thm)],[185088232,180407376]),[]).
%
% cnf(180387392,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(equivalent(C,A))|is_a_theorem(equivalent(B,C))),inference(resolution,[status(thm)],[180229880,172446400]),[]).
%
% fof(prove_yqf,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL011-1.tptp',unknown),[]).
%
% cnf(172455472,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))),inference(rewrite,[status(thm)],[prove_yqf]),[]).
%
% cnf(180567320,plain,(~is_a_theorem(equivalent(A,equivalent(a,b)))|~is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),A))),inference(resolution,[status(thm)],[180387392,172455472]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[185283888,184981944,180567320]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------