TSTP Solution File: LCL118-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL118-1 : TPTP v3.4.2. Released v1.0.0.
% 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 13:43:02 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 : 26 ( 14 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 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 : 64 ( 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/LCL118-1.tptp',unknown),
[] ).
cnf(142467784,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(wo,plain,
! [A,B,C] : is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(B,A)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL118-1.tptp',unknown),
[] ).
cnf(142472640,plain,
is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(B,A)))),
inference(rewrite,[status(thm)],[wo]),
[] ).
cnf(150252096,plain,
( ~ is_a_theorem(equivalent(A,equivalent(B,C)))
| is_a_theorem(equivalent(C,equivalent(B,A))) ),
inference(resolution,[status(thm)],[142467784,142472640]),
[] ).
cnf(150396048,plain,
( ~ is_a_theorem(equivalent(A,equivalent(B,C)))
| ~ is_a_theorem(C)
| is_a_theorem(equivalent(B,A)) ),
inference(resolution,[status(thm)],[150252096,142467784]),
[] ).
cnf(150423336,plain,
is_a_theorem(equivalent(equivalent(C,B),equivalent(A,equivalent(B,equivalent(C,A))))),
inference(resolution,[status(thm)],[150252096,142472640]),
[] ).
cnf(150466088,plain,
( ~ is_a_theorem(equivalent(C,B))
| is_a_theorem(equivalent(A,equivalent(B,equivalent(C,A)))) ),
inference(resolution,[status(thm)],[150423336,142467784]),
[] ).
cnf(150848664,plain,
( ~ is_a_theorem(equivalent(C,A))
| is_a_theorem(equivalent(B,A))
| ~ is_a_theorem(equivalent(C,B)) ),
inference(resolution,[status(thm)],[150396048,150466088]),
[] ).
cnf(153824504,plain,
( ~ is_a_theorem(equivalent(equivalent(B,equivalent(C,D)),A))
| is_a_theorem(equivalent(equivalent(D,equivalent(C,B)),A)) ),
inference(resolution,[status(thm)],[150848664,142472640]),
[] ).
cnf(150485464,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(A,equivalent(B,equivalent(C,A)))),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[150423336,142467784]),
[] ).
cnf(150271696,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(D,equivalent(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142467784,142472640]),
[] ).
cnf(150584928,plain,
( ~ is_a_theorem(equivalent(C,B))
| is_a_theorem(equivalent(equivalent(C,A),equivalent(B,A))) ),
inference(resolution,[status(thm)],[150466088,150252096]),
[] ).
cnf(151877408,plain,
is_a_theorem(equivalent(equivalent(equivalent(D,C),A),equivalent(equivalent(B,equivalent(C,equivalent(D,B))),A))),
inference(resolution,[status(thm)],[150584928,150423336]),
[] ).
cnf(156211472,plain,
is_a_theorem(equivalent(equivalent(D,equivalent(equivalent(B,C),equivalent(A,D))),equivalent(C,equivalent(B,A)))),
inference(resolution,[status(thm)],[150271696,151877408]),
[] ).
cnf(159754080,plain,
is_a_theorem(equivalent(C,equivalent(B,equivalent(B,C)))),
inference(resolution,[status(thm)],[150485464,156211472]),
[] ).
cnf(160094688,plain,
is_a_theorem(equivalent(equivalent(B,A),equivalent(B,A))),
inference(resolution,[status(thm)],[150252096,159754080]),
[] ).
cnf(160376744,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142467784,160094688]),
[] ).
cnf(160444112,plain,
is_a_theorem(equivalent(equivalent(C,equivalent(A,equivalent(B,C))),equivalent(B,A))),
inference(resolution,[status(thm)],[160376744,151877408]),
[] ).
cnf(162682896,plain,
is_a_theorem(equivalent(equivalent(equivalent(C,A),equivalent(B,A)),equivalent(C,B))),
inference(resolution,[status(thm)],[153824504,160444112]),
[] ).
cnf(162545416,plain,
is_a_theorem(equivalent(A,A)),
inference(resolution,[status(thm)],[150485464,160444112]),
[] ).
cnf(165764152,plain,
( is_a_theorem(equivalent(B,A))
| ~ is_a_theorem(equivalent(A,B)) ),
inference(resolution,[status(thm)],[162545416,150848664]),
[] ).
fof(prove_yqm,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL118-1.tptp',unknown),
[] ).
cnf(142476888,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
inference(rewrite,[status(thm)],[prove_yqm]),
[] ).
cnf(150311864,plain,
~ is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b)))),
inference(resolution,[status(thm)],[150252096,142476888]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[162682896,165764152,150311864]),
[] ).
%------------------------------------------------------------------------------
%----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/LCL118-1.tptp',unknown),[]).
%
% cnf(142467784,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(wo,plain,(is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(B,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL118-1.tptp',unknown),[]).
%
% cnf(142472640,plain,(is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,equivalent(B,A))))),inference(rewrite,[status(thm)],[wo]),[]).
%
% cnf(150252096,plain,(~is_a_theorem(equivalent(A,equivalent(B,C)))|is_a_theorem(equivalent(C,equivalent(B,A)))),inference(resolution,[status(thm)],[142467784,142472640]),[]).
%
% cnf(150396048,plain,(~is_a_theorem(equivalent(A,equivalent(B,C)))|~is_a_theorem(C)|is_a_theorem(equivalent(B,A))),inference(resolution,[status(thm)],[150252096,142467784]),[]).
%
% cnf(150423336,plain,(is_a_theorem(equivalent(equivalent(C,B),equivalent(A,equivalent(B,equivalent(C,A)))))),inference(resolution,[status(thm)],[150252096,142472640]),[]).
%
% cnf(150466088,plain,(~is_a_theorem(equivalent(C,B))|is_a_theorem(equivalent(A,equivalent(B,equivalent(C,A))))),inference(resolution,[status(thm)],[150423336,142467784]),[]).
%
% cnf(150848664,plain,(~is_a_theorem(equivalent(C,A))|is_a_theorem(equivalent(B,A))|~is_a_theorem(equivalent(C,B))),inference(resolution,[status(thm)],[150396048,150466088]),[]).
%
% cnf(153824504,plain,(~is_a_theorem(equivalent(equivalent(B,equivalent(C,D)),A))|is_a_theorem(equivalent(equivalent(D,equivalent(C,B)),A))),inference(resolution,[status(thm)],[150848664,142472640]),[]).
%
% cnf(150485464,plain,(~is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(A,equivalent(B,equivalent(C,A)))),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[150423336,142467784]),[]).
%
% cnf(150271696,plain,(~is_a_theorem(equivalent(equivalent(equivalent(B,equivalent(C,D)),equivalent(D,equivalent(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142467784,142472640]),[]).
%
% cnf(150584928,plain,(~is_a_theorem(equivalent(C,B))|is_a_theorem(equivalent(equivalent(C,A),equivalent(B,A)))),inference(resolution,[status(thm)],[150466088,150252096]),[]).
%
% cnf(151877408,plain,(is_a_theorem(equivalent(equivalent(equivalent(D,C),A),equivalent(equivalent(B,equivalent(C,equivalent(D,B))),A)))),inference(resolution,[status(thm)],[150584928,150423336]),[]).
%
% cnf(156211472,plain,(is_a_theorem(equivalent(equivalent(D,equivalent(equivalent(B,C),equivalent(A,D))),equivalent(C,equivalent(B,A))))),inference(resolution,[status(thm)],[150271696,151877408]),[]).
%
% cnf(159754080,plain,(is_a_theorem(equivalent(C,equivalent(B,equivalent(B,C))))),inference(resolution,[status(thm)],[150485464,156211472]),[]).
%
% cnf(160094688,plain,(is_a_theorem(equivalent(equivalent(B,A),equivalent(B,A)))),inference(resolution,[status(thm)],[150252096,159754080]),[]).
%
% cnf(160376744,plain,(~is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142467784,160094688]),[]).
%
% cnf(160444112,plain,(is_a_theorem(equivalent(equivalent(C,equivalent(A,equivalent(B,C))),equivalent(B,A)))),inference(resolution,[status(thm)],[160376744,151877408]),[]).
%
% cnf(162682896,plain,(is_a_theorem(equivalent(equivalent(equivalent(C,A),equivalent(B,A)),equivalent(C,B)))),inference(resolution,[status(thm)],[153824504,160444112]),[]).
%
% cnf(162545416,plain,(is_a_theorem(equivalent(A,A))),inference(resolution,[status(thm)],[150485464,160444112]),[]).
%
% cnf(165764152,plain,(is_a_theorem(equivalent(B,A))|~is_a_theorem(equivalent(A,B))),inference(resolution,[status(thm)],[162545416,150848664]),[]).
%
% fof(prove_yqm,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL118-1.tptp',unknown),[]).
%
% cnf(142476888,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a))))),inference(rewrite,[status(thm)],[prove_yqm]),[]).
%
% cnf(150311864,plain,(~is_a_theorem(equivalent(equivalent(c,a),equivalent(equivalent(c,b),equivalent(a,b))))),inference(resolution,[status(thm)],[150252096,142476888]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[162682896,165764152,150311864]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------