TSTP Solution File: LCL043-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL043-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 13:40:31 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 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 : 25 ( 4 sgn 8 !; 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/LCL043-1.tptp',unknown),
[] ).
cnf(142974048,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/LCL043-1.tptp',unknown),
[] ).
cnf(142945896,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),
[] ).
cnf(142950648,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(150910552,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142945896,142950648]),
[] ).
fof(cn_18,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),
[] ).
cnf(142954656,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[cn_18]),
[] ).
cnf(150751688,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142945896,142954656]),
[] ).
fof(cn_54,plain,
! [A,B] : is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),
[] ).
cnf(142970424,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B))),
inference(rewrite,[status(thm)],[cn_54]),
[] ).
cnf(152472288,plain,
is_a_theorem(implies(implies(not(A),implies(B,A)),implies(B,A))),
inference(resolution,[status(thm)],[150751688,142970424]),
[] ).
cnf(167935400,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[150910552,152472288]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[142974048,167935400]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 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/LCL043-1.tptp',unknown),[]).
%
% cnf(142974048,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/LCL043-1.tptp',unknown),[]).
%
% cnf(142945896,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),[]).
%
% cnf(142950648,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(150910552,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142945896,142950648]),[]).
%
% fof(cn_18,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),[]).
%
% cnf(142954656,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[cn_18]),[]).
%
% cnf(150751688,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142945896,142954656]),[]).
%
% fof(cn_54,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL043-1.tptp',unknown),[]).
%
% cnf(142970424,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),B),B)))),inference(rewrite,[status(thm)],[cn_54]),[]).
%
% cnf(152472288,plain,(is_a_theorem(implies(implies(not(A),implies(B,A)),implies(B,A)))),inference(resolution,[status(thm)],[150751688,142970424]),[]).
%
% cnf(167935400,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[150910552,152472288]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[142974048,167935400]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------