TSTP Solution File: LCL112-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL112-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 13:42:38 EDT 2009
% Result : Unsatisfiable 15.4s
% Output : Refutation 15.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 22 unt; 0 def)
% Number of atoms : 46 ( 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 : 69 ( 12 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_mv_29,plain,
~ is_a_theorem(implies(a,not(not(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL112-1.tptp',unknown),
[] ).
cnf(168760512,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(rewrite,[status(thm)],[prove_mv_29]),
[] ).
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/LCL112-1.tptp',unknown),
[] ).
cnf(168736152,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/LCL112-1.tptp',unknown),
[] ).
cnf(168752704,plain,
is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))),
inference(rewrite,[status(thm)],[mv_5]),
[] ).
cnf(176840168,plain,
( ~ is_a_theorem(implies(not(A),not(B)))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[168736152,168752704]),
[] ).
fof(mv_1,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL112-1.tptp',unknown),
[] ).
cnf(168740904,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[mv_1]),
[] ).
cnf(176538152,plain,
( ~ is_a_theorem(implies(implies(B,implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[168736152,168740904]),
[] ).
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/LCL112-1.tptp',unknown),
[] ).
cnf(168745000,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[mv_2]),
[] ).
cnf(177145480,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[176538152,168745000]),
[] ).
cnf(178427616,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[177145480,168736152]),
[] ).
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/LCL112-1.tptp',unknown),
[] ).
cnf(168749008,plain,
is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))),
inference(rewrite,[status(thm)],[mv_3]),
[] ).
cnf(176647048,plain,
( ~ is_a_theorem(implies(implies(A,B),B))
| is_a_theorem(implies(implies(B,A),A)) ),
inference(resolution,[status(thm)],[168736152,168749008]),
[] ).
cnf(176518792,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[168736152,168740904]),
[] ).
cnf(176916248,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[176518792,168740904]),
[] ).
cnf(179673608,plain,
is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A)),
inference(resolution,[status(thm)],[176647048,176916248]),
[] ).
cnf(188813696,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[178427616,179673608]),
[] ).
cnf(179630256,plain,
( is_a_theorem(implies(implies(B,A),A))
| ~ is_a_theorem(B) ),
inference(resolution,[status(thm)],[176647048,176518792]),
[] ).
cnf(189093888,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(resolution,[status(thm)],[188813696,179630256]),
[] ).
cnf(191062904,plain,
( ~ is_a_theorem(implies(implies(implies(implies(A,A),B),B),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[189093888,168736152]),
[] ).
cnf(176876304,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[168736152,168745000]),
[] ).
cnf(176863584,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[168736152,168752704]),
[] ).
cnf(188499816,plain,
is_a_theorem(implies(not(B),implies(B,A))),
inference(resolution,[status(thm)],[178427616,168752704]),
[] ).
cnf(189810896,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(not(B),C))),
inference(resolution,[status(thm)],[188499816,176876304]),
[] ).
cnf(198502360,plain,
is_a_theorem(implies(not(not(A)),implies(B,A))),
inference(resolution,[status(thm)],[176863584,189810896]),
[] ).
cnf(199231208,plain,
is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A))),
inference(resolution,[status(thm)],[176876304,198502360]),
[] ).
cnf(281878536,plain,
is_a_theorem(implies(not(not(B)),B)),
inference(resolution,[status(thm)],[191062904,199231208]),
[] ).
cnf(282600880,plain,
is_a_theorem(implies(A,not(not(A)))),
inference(resolution,[status(thm)],[176840168,281878536]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168760512,282600880]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 16 seconds
% START OF PROOF SEQUENCE
% fof(prove_mv_29,plain,(~is_a_theorem(implies(a,not(not(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL112-1.tptp',unknown),[]).
%
% cnf(168760512,plain,(~is_a_theorem(implies(a,not(not(a))))),inference(rewrite,[status(thm)],[prove_mv_29]),[]).
%
% 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/LCL112-1.tptp',unknown),[]).
%
% cnf(168736152,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/LCL112-1.tptp',unknown),[]).
%
% cnf(168752704,plain,(is_a_theorem(implies(implies(not(A),not(B)),implies(B,A)))),inference(rewrite,[status(thm)],[mv_5]),[]).
%
% cnf(176840168,plain,(~is_a_theorem(implies(not(A),not(B)))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[168736152,168752704]),[]).
%
% fof(mv_1,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL112-1.tptp',unknown),[]).
%
% cnf(168740904,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[mv_1]),[]).
%
% cnf(176538152,plain,(~is_a_theorem(implies(implies(B,implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[168736152,168740904]),[]).
%
% 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/LCL112-1.tptp',unknown),[]).
%
% cnf(168745000,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[mv_2]),[]).
%
% cnf(177145480,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[176538152,168745000]),[]).
%
% cnf(178427616,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[177145480,168736152]),[]).
%
% 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/LCL112-1.tptp',unknown),[]).
%
% cnf(168749008,plain,(is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A)))),inference(rewrite,[status(thm)],[mv_3]),[]).
%
% cnf(176647048,plain,(~is_a_theorem(implies(implies(A,B),B))|is_a_theorem(implies(implies(B,A),A))),inference(resolution,[status(thm)],[168736152,168749008]),[]).
%
% cnf(176518792,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[168736152,168740904]),[]).
%
% cnf(176916248,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[176518792,168740904]),[]).
%
% cnf(179673608,plain,(is_a_theorem(implies(implies(implies(B,implies(C,B)),A),A))),inference(resolution,[status(thm)],[176647048,176916248]),[]).
%
% cnf(188813696,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[178427616,179673608]),[]).
%
% cnf(179630256,plain,(is_a_theorem(implies(implies(B,A),A))|~is_a_theorem(B)),inference(resolution,[status(thm)],[176647048,176518792]),[]).
%
% cnf(189093888,plain,(is_a_theorem(implies(implies(implies(A,A),B),B))),inference(resolution,[status(thm)],[188813696,179630256]),[]).
%
% cnf(191062904,plain,(~is_a_theorem(implies(implies(implies(implies(A,A),B),B),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[189093888,168736152]),[]).
%
% cnf(176876304,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[168736152,168745000]),[]).
%
% cnf(176863584,plain,(~is_a_theorem(implies(implies(implies(not(B),not(C)),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[168736152,168752704]),[]).
%
% cnf(188499816,plain,(is_a_theorem(implies(not(B),implies(B,A)))),inference(resolution,[status(thm)],[178427616,168752704]),[]).
%
% cnf(189810896,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(not(B),C)))),inference(resolution,[status(thm)],[188499816,176876304]),[]).
%
% cnf(198502360,plain,(is_a_theorem(implies(not(not(A)),implies(B,A)))),inference(resolution,[status(thm)],[176863584,189810896]),[]).
%
% cnf(199231208,plain,(is_a_theorem(implies(implies(implies(C,B),A),implies(not(not(B)),A)))),inference(resolution,[status(thm)],[176876304,198502360]),[]).
%
% cnf(281878536,plain,(is_a_theorem(implies(not(not(B)),B))),inference(resolution,[status(thm)],[191062904,199231208]),[]).
%
% cnf(282600880,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[176840168,281878536]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168760512,282600880]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------