TSTP Solution File: LCL059-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL059-1 : 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 13:40:55 EDT 2009
% Result : Unsatisfiable 132.2s
% Output : Refutation 132.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 26 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 21 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/LCL059-1.tptp',unknown),
[] ).
cnf(155657840,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_1,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/LCL059-1.tptp',unknown),
[] ).
cnf(155662696,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(163572824,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[155657840,155662696]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),
[] ).
cnf(155670600,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(163521360,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[155657840,155670600]),
[] ).
cnf(164619832,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[163521360,155662696]),
[] ).
cnf(170683544,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[155657840,164619832]),
[] ).
cnf(165372072,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[163572824,155662696]),
[] ).
cnf(176059896,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[170683544,165372072]),
[] ).
cnf(176310280,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[163572824,176059896]),
[] ).
cnf(284528952,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[155657840,176310280]),
[] ).
cnf(175710752,plain,
( ~ is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[155657840,165372072]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),
[] ).
cnf(155666688,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(163468968,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[155657840,155666688]),
[] ).
cnf(164210152,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[163468968,155662696]),
[] ).
cnf(166688648,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[164210152,163572824]),
[] ).
cnf(182807960,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[155657840,166688648]),
[] ).
cnf(170661304,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[155657840,164619832]),
[] ).
cnf(163502136,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[155657840,155670600]),
[] ).
cnf(170716080,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[163468968,164619832]),
[] ).
cnf(170884432,plain,
is_a_theorem(implies(not(implies(B,B)),A)),
inference(resolution,[status(thm)],[163502136,170716080]),
[] ).
cnf(170988824,plain,
is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[163572824,170884432]),
[] ).
cnf(172810872,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[170661304,170988824]),
[] ).
cnf(172943960,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[163572824,172810872]),
[] ).
cnf(183908784,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[182807960,172943960]),
[] ).
cnf(184516696,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[155657840,183908784]),
[] ).
cnf(184767760,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[184516696,164210152]),
[] ).
cnf(185362624,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[163572824,184767760]),
[] ).
cnf(215375360,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[175710752,185362624]),
[] ).
cnf(336882256,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[284528952,215375360]),
[] ).
fof(prove_cn_49,plain,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),
[] ).
cnf(155678472,plain,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
inference(rewrite,[status(thm)],[prove_cn_49]),
[] ).
cnf(164188512,plain,
~ is_a_theorem(implies(implies(implies(not(A),A),A),implies(implies(not(a),not(b)),implies(b,a)))),
inference(resolution,[status(thm)],[163468968,155678472]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[336882256,164188512,163572824]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 131 seconds
% START OF PROOF SEQUENCE
% 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/LCL059-1.tptp',unknown),[]).
%
% cnf(155657840,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),[]).
%
% cnf(155662696,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(163572824,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[155657840,155662696]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),[]).
%
% cnf(155670600,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(163521360,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[155657840,155670600]),[]).
%
% cnf(164619832,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[163521360,155662696]),[]).
%
% cnf(170683544,plain,(~is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[155657840,164619832]),[]).
%
% cnf(165372072,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[163572824,155662696]),[]).
%
% cnf(176059896,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[170683544,165372072]),[]).
%
% cnf(176310280,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[163572824,176059896]),[]).
%
% cnf(284528952,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[155657840,176310280]),[]).
%
% cnf(175710752,plain,(~is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[155657840,165372072]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),[]).
%
% cnf(155666688,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(163468968,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[155657840,155666688]),[]).
%
% cnf(164210152,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[163468968,155662696]),[]).
%
% cnf(166688648,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[164210152,163572824]),[]).
%
% cnf(182807960,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[155657840,166688648]),[]).
%
% cnf(170661304,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[155657840,164619832]),[]).
%
% cnf(163502136,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[155657840,155670600]),[]).
%
% cnf(170716080,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[163468968,164619832]),[]).
%
% cnf(170884432,plain,(is_a_theorem(implies(not(implies(B,B)),A))),inference(resolution,[status(thm)],[163502136,170716080]),[]).
%
% cnf(170988824,plain,(is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[163572824,170884432]),[]).
%
% cnf(172810872,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[170661304,170988824]),[]).
%
% cnf(172943960,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[163572824,172810872]),[]).
%
% cnf(183908784,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[182807960,172943960]),[]).
%
% cnf(184516696,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[155657840,183908784]),[]).
%
% cnf(184767760,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[184516696,164210152]),[]).
%
% cnf(185362624,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[163572824,184767760]),[]).
%
% cnf(215375360,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[175710752,185362624]),[]).
%
% cnf(336882256,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[284528952,215375360]),[]).
%
% fof(prove_cn_49,plain,(~is_a_theorem(implies(implies(not(a),not(b)),implies(b,a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL059-1.tptp',unknown),[]).
%
% cnf(155678472,plain,(~is_a_theorem(implies(implies(not(a),not(b)),implies(b,a)))),inference(rewrite,[status(thm)],[prove_cn_49]),[]).
%
% cnf(164188512,plain,(~is_a_theorem(implies(implies(implies(not(A),A),A),implies(implies(not(a),not(b)),implies(b,a))))),inference(resolution,[status(thm)],[163468968,155678472]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[336882256,164188512,163572824]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------