TSTP Solution File: LCL076-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL076-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:41:14 EDT 2009
% Result : Unsatisfiable 2.0s
% Output : Refutation 2.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 23 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 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 : 71 ( 11 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_40,plain,
~ is_a_theorem(implies(a,not(not(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-1.tptp',unknown),
[] ).
cnf(162494136,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(rewrite,[status(thm)],[prove_cn_40]),
[] ).
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/LCL076-1.tptp',unknown),
[] ).
cnf(162473576,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
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/LCL076-1.tptp',unknown),
[] ).
cnf(162486344,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[cn_49]),
[] ).
cnf(170342552,plain,
( ~ is_a_theorem(implies(not(A),not(B)))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[162473576,162486344]),
[] ).
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/LCL076-1.tptp',unknown),
[] ).
cnf(162482440,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_35]),
[] ).
cnf(170571104,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)],[162473576,162482440]),
[] ).
cnf(170551728,plain,
( ~ is_a_theorem(implies(A,implies(B,C)))
| is_a_theorem(implies(implies(A,B),implies(A,C))) ),
inference(resolution,[status(thm)],[162473576,162482440]),
[] ).
fof(cn_18,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-1.tptp',unknown),
[] ).
cnf(162478328,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[cn_18]),
[] ).
cnf(170252408,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[162473576,162478328]),
[] ).
cnf(170271768,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[162473576,162478328]),
[] ).
cnf(170878648,plain,
is_a_theorem(implies(implies(A,B),implies(A,A))),
inference(resolution,[status(thm)],[170271768,162482440]),
[] ).
cnf(170938320,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[170878648,170271768]),
[] ).
cnf(170952648,plain,
is_a_theorem(implies(B,implies(A,A))),
inference(resolution,[status(thm)],[170938320,170252408]),
[] ).
cnf(171025024,plain,
( ~ is_a_theorem(implies(implies(B,implies(A,A)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[170952648,162473576]),
[] ).
cnf(170972624,plain,
( ~ is_a_theorem(implies(implies(A,A),B))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[170938320,162473576]),
[] ).
cnf(172505784,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B))),
inference(resolution,[status(thm)],[170972624,162482440]),
[] ).
cnf(184565568,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(resolution,[status(thm)],[171025024,172505784]),
[] ).
cnf(184764696,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(resolution,[status(thm)],[170252408,184565568]),
[] ).
cnf(185729528,plain,
is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B))),
inference(resolution,[status(thm)],[170551728,184764696]),
[] ).
cnf(189399216,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(resolution,[status(thm)],[170571104,185729528]),
[] ).
cnf(189927888,plain,
( ~ is_a_theorem(implies(A,implies(A,B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[162473576,189399216]),
[] ).
cnf(170654152,plain,
is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))),
inference(resolution,[status(thm)],[170252408,162486344]),
[] ).
cnf(184464536,plain,
is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[170551728,170654152]),
[] ).
cnf(198193864,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[170271768,184464536]),
[] ).
cnf(198850592,plain,
( ~ is_a_theorem(implies(implies(not(C),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[162473576,198193864]),
[] ).
cnf(199148960,plain,
is_a_theorem(implies(not(not(A)),implies(B,A))),
inference(resolution,[status(thm)],[198850592,184464536]),
[] ).
cnf(199697296,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[189927888,199148960]),
[] ).
cnf(199918504,plain,
is_a_theorem(implies(A,not(not(A)))),
inference(resolution,[status(thm)],[170342552,199697296]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[162494136,199918504]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_40,plain,(~is_a_theorem(implies(a,not(not(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-1.tptp',unknown),[]).
%
% cnf(162494136,plain,(~is_a_theorem(implies(a,not(not(a))))),inference(rewrite,[status(thm)],[prove_cn_40]),[]).
%
% 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/LCL076-1.tptp',unknown),[]).
%
% cnf(162473576,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% 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/LCL076-1.tptp',unknown),[]).
%
% cnf(162486344,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[cn_49]),[]).
%
% cnf(170342552,plain,(~is_a_theorem(implies(not(A),not(B)))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[162473576,162486344]),[]).
%
% 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/LCL076-1.tptp',unknown),[]).
%
% cnf(162482440,plain,(is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C))))),inference(rewrite,[status(thm)],[cn_35]),[]).
%
% cnf(170571104,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)],[162473576,162482440]),[]).
%
% cnf(170551728,plain,(~is_a_theorem(implies(A,implies(B,C)))|is_a_theorem(implies(implies(A,B),implies(A,C)))),inference(resolution,[status(thm)],[162473576,162482440]),[]).
%
% fof(cn_18,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL076-1.tptp',unknown),[]).
%
% cnf(162478328,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[cn_18]),[]).
%
% cnf(170252408,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[162473576,162478328]),[]).
%
% cnf(170271768,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[162473576,162478328]),[]).
%
% cnf(170878648,plain,(is_a_theorem(implies(implies(A,B),implies(A,A)))),inference(resolution,[status(thm)],[170271768,162482440]),[]).
%
% cnf(170938320,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[170878648,170271768]),[]).
%
% cnf(170952648,plain,(is_a_theorem(implies(B,implies(A,A)))),inference(resolution,[status(thm)],[170938320,170252408]),[]).
%
% cnf(171025024,plain,(~is_a_theorem(implies(implies(B,implies(A,A)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[170952648,162473576]),[]).
%
% cnf(170972624,plain,(~is_a_theorem(implies(implies(A,A),B))|is_a_theorem(B)),inference(resolution,[status(thm)],[170938320,162473576]),[]).
%
% cnf(172505784,plain,(is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,B),B)))),inference(resolution,[status(thm)],[170972624,162482440]),[]).
%
% cnf(184565568,plain,(is_a_theorem(implies(implies(implies(A,A),B),B))),inference(resolution,[status(thm)],[171025024,172505784]),[]).
%
% cnf(184764696,plain,(is_a_theorem(implies(A,implies(implies(implies(B,B),C),C)))),inference(resolution,[status(thm)],[170252408,184565568]),[]).
%
% cnf(185729528,plain,(is_a_theorem(implies(implies(A,implies(implies(C,C),B)),implies(A,B)))),inference(resolution,[status(thm)],[170551728,184764696]),[]).
%
% cnf(189399216,plain,(is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B)))),inference(resolution,[status(thm)],[170571104,185729528]),[]).
%
% cnf(189927888,plain,(~is_a_theorem(implies(A,implies(A,B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[162473576,189399216]),[]).
%
% cnf(170654152,plain,(is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B))))),inference(resolution,[status(thm)],[170252408,162486344]),[]).
%
% cnf(184464536,plain,(is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[170551728,170654152]),[]).
%
% cnf(198193864,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[170271768,184464536]),[]).
%
% cnf(198850592,plain,(~is_a_theorem(implies(implies(not(C),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[162473576,198193864]),[]).
%
% cnf(199148960,plain,(is_a_theorem(implies(not(not(A)),implies(B,A)))),inference(resolution,[status(thm)],[198850592,184464536]),[]).
%
% cnf(199697296,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[189927888,199148960]),[]).
%
% cnf(199918504,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[170342552,199697296]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162494136,199918504]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------