TSTP Solution File: LCL115-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL115-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:42:50 EDT 2009
% Result : Unsatisfiable 54.9s
% Output : Refutation 54.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 24 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 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; 2 con; 0-2 aty)
% Number of variables : 78 ( 15 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_mv_39,plain,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144477264,plain,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
inference(rewrite,[status(thm)],[prove_mv_39]),
[] ).
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144452728,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(mv_5,plain,
! [A,B] : is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144473432,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[mv_5]),
[] ).
cnf(152331216,plain,
( ~ is_a_theorem(implies(not(A),not(B)))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[144452728,144473432]),
[] ).
fof(mv_1,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144457512,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[mv_1]),
[] ).
cnf(152240336,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[144452728,144457512]),
[] ).
cnf(152704488,plain,
( ~ is_a_theorem(A)
| ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[152240336,144452728]),
[] ).
fof(mv_3,plain,
! [A,B] : is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144465648,plain,
is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))),
inference(rewrite,[status(thm)],[mv_3]),
[] ).
cnf(156840744,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(implies(A,B),B)) ),
inference(resolution,[status(thm)],[152704488,144465648]),
[] ).
cnf(152259728,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[144452728,144457512]),
[] ).
fof(mv_2,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),
[] ).
cnf(144461640,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[mv_2]),
[] ).
cnf(152927280,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[152259728,144461640]),
[] ).
cnf(154672936,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[152927280,144452728]),
[] ).
cnf(152626128,plain,
( ~ is_a_theorem(implies(implies(A,B),B))
| is_a_theorem(implies(implies(B,A),A)) ),
inference(resolution,[status(thm)],[144452728,144465648]),
[] ).
cnf(152671152,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[152240336,144457512]),
[] ).
cnf(158127120,plain,
is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A)),
inference(resolution,[status(thm)],[152626128,152671152]),
[] ).
cnf(165258688,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[154672936,158127120]),
[] ).
cnf(165367920,plain,
is_a_theorem(implies(implies(implies(B,B),A),A)),
inference(resolution,[status(thm)],[156840744,165258688]),
[] ).
cnf(165548560,plain,
( ~ is_a_theorem(implies(implies(implies(implies(C,C),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[144452728,165367920]),
[] ).
cnf(152588384,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[144452728,144461640]),
[] ).
cnf(152350560,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[144452728,144473432]),
[] ).
cnf(158986672,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[152350560,152927280]),
[] ).
cnf(159509296,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(not(B),C))),
inference(resolution,[status(thm)],[158986672,152588384]),
[] ).
cnf(168792800,plain,
is_a_theorem(implies(not(not(A)),implies(B,A))),
inference(resolution,[status(thm)],[152350560,159509296]),
[] ).
cnf(169518352,plain,
is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A))),
inference(resolution,[status(thm)],[152588384,168792800]),
[] ).
cnf(257096280,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[165548560,169518352]),
[] ).
cnf(257737704,plain,
is_a_theorem(implies(A,not(not(A)))),
inference(resolution,[status(thm)],[152331216,257096280]),
[] ).
cnf(258312912,plain,
( ~ is_a_theorem(implies(implies(B,not(not(B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[144452728,257737704]),
[] ).
cnf(260223216,plain,
is_a_theorem(implies(not(not(A)),not(not(implies(B,A))))),
inference(resolution,[status(thm)],[258312912,169518352]),
[] ).
cnf(359012720,plain,
is_a_theorem(implies(not(implies(B,A)),not(A))),
inference(resolution,[status(thm)],[152331216,260223216]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[144477264,359012720]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 54 seconds
% START OF PROOF SEQUENCE
% fof(prove_mv_39,plain,(~is_a_theorem(implies(not(implies(a,b)),not(b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144477264,plain,(~is_a_theorem(implies(not(implies(a,b)),not(b)))),inference(rewrite,[status(thm)],[prove_mv_39]),[]).
%
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144452728,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(mv_5,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144473432,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[mv_5]),[]).
%
% cnf(152331216,plain,(~is_a_theorem(implies(not(A),not(B)))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[144452728,144473432]),[]).
%
% fof(mv_1,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144457512,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[mv_1]),[]).
%
% cnf(152240336,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[144452728,144457512]),[]).
%
% cnf(152704488,plain,(~is_a_theorem(A)|~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[152240336,144452728]),[]).
%
% fof(mv_3,plain,(is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144465648,plain,(is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A)))),inference(rewrite,[status(thm)],[mv_3]),[]).
%
% cnf(156840744,plain,(~is_a_theorem(A)|is_a_theorem(implies(implies(A,B),B))),inference(resolution,[status(thm)],[152704488,144465648]),[]).
%
% cnf(152259728,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[144452728,144457512]),[]).
%
% fof(mv_2,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL115-1.tptp',unknown),[]).
%
% cnf(144461640,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[mv_2]),[]).
%
% cnf(152927280,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[152259728,144461640]),[]).
%
% cnf(154672936,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[152927280,144452728]),[]).
%
% cnf(152626128,plain,(~is_a_theorem(implies(implies(A,B),B))|is_a_theorem(implies(implies(B,A),A))),inference(resolution,[status(thm)],[144452728,144465648]),[]).
%
% cnf(152671152,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[152240336,144457512]),[]).
%
% cnf(158127120,plain,(is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A))),inference(resolution,[status(thm)],[152626128,152671152]),[]).
%
% cnf(165258688,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[154672936,158127120]),[]).
%
% cnf(165367920,plain,(is_a_theorem(implies(implies(implies(B,B),A),A))),inference(resolution,[status(thm)],[156840744,165258688]),[]).
%
% cnf(165548560,plain,(~is_a_theorem(implies(implies(implies(implies(C,C),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[144452728,165367920]),[]).
%
% cnf(152588384,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[144452728,144461640]),[]).
%
% cnf(152350560,plain,(~is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[144452728,144473432]),[]).
%
% cnf(158986672,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[152350560,152927280]),[]).
%
% cnf(159509296,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(not(B),C)))),inference(resolution,[status(thm)],[158986672,152588384]),[]).
%
% cnf(168792800,plain,(is_a_theorem(implies(not(not(A)),implies(B,A)))),inference(resolution,[status(thm)],[152350560,159509296]),[]).
%
% cnf(169518352,plain,(is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A)))),inference(resolution,[status(thm)],[152588384,168792800]),[]).
%
% cnf(257096280,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[165548560,169518352]),[]).
%
% cnf(257737704,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[152331216,257096280]),[]).
%
% cnf(258312912,plain,(~is_a_theorem(implies(implies(B,not(not(B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[144452728,257737704]),[]).
%
% cnf(260223216,plain,(is_a_theorem(implies(not(not(A)),not(not(implies(B,A)))))),inference(resolution,[status(thm)],[258312912,169518352]),[]).
%
% cnf(359012720,plain,(is_a_theorem(implies(not(implies(B,A)),not(A)))),inference(resolution,[status(thm)],[152331216,260223216]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[144477264,359012720]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------