%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL110-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 13:42:29 EDT 2009
% Result : Unsatisfiable 13.3s
% Output : Refutation 13.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 21 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 69 ( 13 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_mv_24,plain,
~ is_a_theorem(implies(not(not(a)),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL110-1.tptp',unknown),
[] ).
cnf(169759976,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(rewrite,[status(thm)],[prove_mv_24]),
[] ).
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/LCL110-1.tptp',unknown),
[] ).
cnf(169735616,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(mv_1,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL110-1.tptp',unknown),
[] ).
cnf(169740368,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[mv_1]),
[] ).
cnf(177518256,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[169735616,169740368]),
[] ).
cnf(177814232,plain,
( ~ is_a_theorem(A)
| ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[177518256,169735616]),
[] ).
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/LCL110-1.tptp',unknown),
[] ).
cnf(169748472,plain,
is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))),
inference(rewrite,[status(thm)],[mv_3]),
[] ).
cnf(180950936,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(implies(A,B),B)) ),
inference(resolution,[status(thm)],[177814232,169748472]),
[] ).
cnf(177537616,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169735616,169740368]),
[] ).
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/LCL110-1.tptp',unknown),
[] ).
cnf(169744464,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[mv_2]),
[] ).
cnf(178473336,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[177537616,169744464]),
[] ).
cnf(181289808,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[178473336,169735616]),
[] ).
cnf(177739240,plain,
( ~ is_a_theorem(implies(implies(A,B),B))
| is_a_theorem(implies(implies(B,A),A)) ),
inference(resolution,[status(thm)],[169735616,169748472]),
[] ).
cnf(177780088,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[177518256,169740368]),
[] ).
cnf(182972592,plain,
is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A)),
inference(resolution,[status(thm)],[177739240,177780088]),
[] ).
cnf(188911768,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[181289808,182972592]),
[] ).
cnf(189018384,plain,
is_a_theorem(implies(implies(implies(B,B),A),A)),
inference(resolution,[status(thm)],[180950936,188911768]),
[] ).
cnf(189202216,plain,
( ~ is_a_theorem(implies(implies(implies(implies(C,C),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169735616,189018384]),
[] ).
cnf(177701416,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[169735616,169744464]),
[] ).
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/LCL110-1.tptp',unknown),
[] ).
cnf(169752168,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[mv_5]),
[] ).
cnf(177677944,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169735616,169752168]),
[] ).
cnf(188136352,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[177677944,178473336]),
[] ).
cnf(188275736,plain,
is_a_theorem(implies(implies(implies(C,B),A),implies(not(C),A))),
inference(resolution,[status(thm)],[177701416,188136352]),
[] ).
cnf(193615488,plain,
is_a_theorem(implies(not(not(A)),implies(B,A))),
inference(resolution,[status(thm)],[177677944,188275736]),
[] ).
cnf(194373320,plain,
is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A))),
inference(resolution,[status(thm)],[177701416,193615488]),
[] ).
cnf(274943640,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[189202216,194373320]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169759976,274943640]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 13 seconds
% START OF PROOF SEQUENCE
% fof(prove_mv_24,plain,(~is_a_theorem(implies(not(not(a)),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL110-1.tptp',unknown),[]).
%
% cnf(169759976,plain,(~is_a_theorem(implies(not(not(a)),a))),inference(rewrite,[status(thm)],[prove_mv_24]),[]).
%
% 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/LCL110-1.tptp',unknown),[]).
%
% cnf(169735616,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(mv_1,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL110-1.tptp',unknown),[]).
%
% cnf(169740368,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[mv_1]),[]).
%
% cnf(177518256,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[169735616,169740368]),[]).
%
% cnf(177814232,plain,(~is_a_theorem(A)|~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[177518256,169735616]),[]).
%
% 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/LCL110-1.tptp',unknown),[]).
%
% cnf(169748472,plain,(is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A)))),inference(rewrite,[status(thm)],[mv_3]),[]).
%
% cnf(180950936,plain,(~is_a_theorem(A)|is_a_theorem(implies(implies(A,B),B))),inference(resolution,[status(thm)],[177814232,169748472]),[]).
%
% cnf(177537616,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169735616,169740368]),[]).
%
% 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/LCL110-1.tptp',unknown),[]).
%
% cnf(169744464,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[mv_2]),[]).
%
% cnf(178473336,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[177537616,169744464]),[]).
%
% cnf(181289808,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[178473336,169735616]),[]).
%
% cnf(177739240,plain,(~is_a_theorem(implies(implies(A,B),B))|is_a_theorem(implies(implies(B,A),A))),inference(resolution,[status(thm)],[169735616,169748472]),[]).
%
% cnf(177780088,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[177518256,169740368]),[]).
%
% cnf(182972592,plain,(is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A))),inference(resolution,[status(thm)],[177739240,177780088]),[]).
%
% cnf(188911768,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[181289808,182972592]),[]).
%
% cnf(189018384,plain,(is_a_theorem(implies(implies(implies(B,B),A),A))),inference(resolution,[status(thm)],[180950936,188911768]),[]).
%
% cnf(189202216,plain,(~is_a_theorem(implies(implies(implies(implies(C,C),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169735616,189018384]),[]).
%
% cnf(177701416,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[169735616,169744464]),[]).
%
% 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/LCL110-1.tptp',unknown),[]).
%
% cnf(169752168,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[mv_5]),[]).
%
% cnf(177677944,plain,(~is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169735616,169752168]),[]).
%
% cnf(188136352,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[177677944,178473336]),[]).
%
% cnf(188275736,plain,(is_a_theorem(implies(implies(implies(C,B),A),implies(not(C),A)))),inference(resolution,[status(thm)],[177701416,188136352]),[]).
%
% cnf(193615488,plain,(is_a_theorem(implies(not(not(A)),implies(B,A)))),inference(resolution,[status(thm)],[177677944,188275736]),[]).
%
% cnf(194373320,plain,(is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A)))),inference(resolution,[status(thm)],[177701416,193615488]),[]).
%
% cnf(274943640,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[189202216,194373320]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169759976,274943640]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------