TSTP Solution File: LCL077-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL077-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 13:41:19 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 22 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 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 : 68 ( 11 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_39,plain,
~ is_a_theorem(implies(not(not(a)),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),
[] ).
cnf(153765600,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(rewrite,[status(thm)],[prove_cn_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/LCL077-1.tptp',unknown),
[] ).
cnf(153745040,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_35,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),
[] ).
cnf(153753904,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_35]),
[] ).
cnf(161713872,plain,
( ~ is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[153745040,153753904]),
[] ).
cnf(161694472,plain,
( ~ is_a_theorem(implies(A,implies(B,C)))
| is_a_theorem(implies(implies(A,B),implies(A,C))) ),
inference(resolution,[status(thm)],[153745040,153753904]),
[] ).
fof(cn_18,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),
[] ).
cnf(153749792,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[cn_18]),
[] ).
cnf(161523592,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[153745040,153749792]),
[] ).
cnf(161542944,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[153745040,153749792]),
[] ).
cnf(162408952,plain,
is_a_theorem(implies(implies(A,B),implies(A,A))),
inference(resolution,[status(thm)],[161542944,153753904]),
[] ).
cnf(162516840,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[162408952,161542944]),
[] ).
cnf(162531168,plain,
is_a_theorem(implies(B,implies(A,A))),
inference(resolution,[status(thm)],[162516840,161523592]),
[] ).
cnf(162609648,plain,
( ~ is_a_theorem(implies(implies(B,implies(A,A)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[162531168,153745040]),
[] ).
cnf(162551144,plain,
( ~ is_a_theorem(implies(implies(A,A),B))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[162516840,153745040]),
[] ).
cnf(164550968,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))),
inference(resolution,[status(thm)],[162551144,153753904]),
[] ).
cnf(171979032,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(resolution,[status(thm)],[162609648,164550968]),
[] ).
cnf(172242872,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(resolution,[status(thm)],[161523592,171979032]),
[] ).
cnf(172840336,plain,
is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B))),
inference(resolution,[status(thm)],[161694472,172242872]),
[] ).
cnf(181746752,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(resolution,[status(thm)],[161713872,172840336]),
[] ).
cnf(182389488,plain,
( ~ is_a_theorem(implies(A,implies(A,B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[153745040,181746752]),
[] ).
fof(cn_49,plain,
! [A,B] : is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),
[] ).
cnf(153757808,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[cn_49]),
[] ).
cnf(161807760,plain,
is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))),
inference(resolution,[status(thm)],[161523592,153757808]),
[] ).
cnf(170716840,plain,
is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[161694472,161807760]),
[] ).
cnf(185230656,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[161542944,170716840]),
[] ).
cnf(185865392,plain,
( ~ is_a_theorem(implies(implies(not(C),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[153745040,185230656]),
[] ).
cnf(186170144,plain,
is_a_theorem(implies(not(not(A)),implies(B,A))),
inference(resolution,[status(thm)],[185865392,170716840]),
[] ).
cnf(186722552,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[182389488,186170144]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[153765600,186722552]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_39,plain,(~is_a_theorem(implies(not(not(a)),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),[]).
%
% cnf(153765600,plain,(~is_a_theorem(implies(not(not(a)),a))),inference(rewrite,[status(thm)],[prove_cn_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/LCL077-1.tptp',unknown),[]).
%
% cnf(153745040,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_35,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),[]).
%
% cnf(153753904,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),inference(rewrite,[status(thm)],[cn_35]),[]).
%
% cnf(161713872,plain,(~is_a_theorem(implies(implies(implies(B,implies(C,D)),implies(implies(B,C),implies(B,D))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[153745040,153753904]),[]).
%
% cnf(161694472,plain,(~is_a_theorem(implies(A,implies(B,C)))|is_a_theorem(implies(implies(A,B),implies(A,C)))),inference(resolution,[status(thm)],[153745040,153753904]),[]).
%
% fof(cn_18,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),[]).
%
% cnf(153749792,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[cn_18]),[]).
%
% cnf(161523592,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[153745040,153749792]),[]).
%
% cnf(161542944,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[153745040,153749792]),[]).
%
% cnf(162408952,plain,(is_a_theorem(implies(implies(A,B),implies(A,A)))),inference(resolution,[status(thm)],[161542944,153753904]),[]).
%
% cnf(162516840,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[162408952,161542944]),[]).
%
% cnf(162531168,plain,(is_a_theorem(implies(B,implies(A,A)))),inference(resolution,[status(thm)],[162516840,161523592]),[]).
%
% cnf(162609648,plain,(~is_a_theorem(implies(implies(B,implies(A,A)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[162531168,153745040]),[]).
%
% cnf(162551144,plain,(~is_a_theorem(implies(implies(A,A),B))|is_a_theorem(B)),inference(resolution,[status(thm)],[162516840,153745040]),[]).
%
% cnf(164550968,plain,(is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B)))),inference(resolution,[status(thm)],[162551144,153753904]),[]).
%
% cnf(171979032,plain,(is_a_theorem(implies(implies(implies(A,A),B),B))),inference(resolution,[status(thm)],[162609648,164550968]),[]).
%
% cnf(172242872,plain,(is_a_theorem(implies(A,implies(implies(implies(B,B),C),C)))),inference(resolution,[status(thm)],[161523592,171979032]),[]).
%
% cnf(172840336,plain,(is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B)))),inference(resolution,[status(thm)],[161694472,172242872]),[]).
%
% cnf(181746752,plain,(is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B)))),inference(resolution,[status(thm)],[161713872,172840336]),[]).
%
% cnf(182389488,plain,(~is_a_theorem(implies(A,implies(A,B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[153745040,181746752]),[]).
%
% fof(cn_49,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL077-1.tptp',unknown),[]).
%
% cnf(153757808,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[cn_49]),[]).
%
% cnf(161807760,plain,(is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B))))),inference(resolution,[status(thm)],[161523592,153757808]),[]).
%
% cnf(170716840,plain,(is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[161694472,161807760]),[]).
%
% cnf(185230656,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[161542944,170716840]),[]).
%
% cnf(185865392,plain,(~is_a_theorem(implies(implies(not(C),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[153745040,185230656]),[]).
%
% cnf(186170144,plain,(is_a_theorem(implies(not(not(A)),implies(B,A)))),inference(resolution,[status(thm)],[185865392,170716840]),[]).
%
% cnf(186722552,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[182389488,186170144]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[153765600,186722552]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------