TSTP Solution File: LCL083-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL083-2 : TPTP v3.4.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 13:41:38 EDT 2009
% Result : Unsatisfiable 1.3s
% Output : Refutation 1.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 37 sgn 7 !; 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/LCL083-2.tptp',unknown),
[] ).
cnf(148104296,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(ic_JLukasiewicz,plain,
! [A,B,C,D] : is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),
[] ).
cnf(148109152,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
inference(rewrite,[status(thm)],[ic_JLukasiewicz]),
[] ).
cnf(156124696,plain,
( ~ is_a_theorem(implies(implies(A,B),C))
| is_a_theorem(implies(implies(C,A),implies(D,A))) ),
inference(resolution,[status(thm)],[148104296,148109152]),
[] ).
fof(ic_1,plain,
! [A] : is_a_theorem(implies(A,A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),
[] ).
cnf(148113240,plain,
is_a_theorem(implies(A,A)),
inference(rewrite,[status(thm)],[ic_1]),
[] ).
cnf(155893112,plain,
( ~ is_a_theorem(implies(implies(B,B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148104296,148113240]),
[] ).
cnf(156241808,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))),
inference(resolution,[status(thm)],[155893112,148109152]),
[] ).
cnf(156277136,plain,
( ~ is_a_theorem(implies(implies(A,B),A))
| is_a_theorem(implies(C,A)) ),
inference(resolution,[status(thm)],[156241808,148104296]),
[] ).
cnf(156417920,plain,
is_a_theorem(implies(B,implies(A,A))),
inference(resolution,[status(thm)],[156277136,156241808]),
[] ).
cnf(156440416,plain,
( ~ is_a_theorem(implies(implies(B,implies(A,A)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[156417920,148104296]),
[] ).
cnf(156855032,plain,
is_a_theorem(implies(implies(implies(A,A),B),implies(D,B))),
inference(resolution,[status(thm)],[156440416,148109152]),
[] ).
cnf(156915376,plain,
( ~ is_a_theorem(implies(implies(A,A),B))
| is_a_theorem(implies(D,B)) ),
inference(resolution,[status(thm)],[156855032,148104296]),
[] ).
cnf(157890048,plain,
is_a_theorem(implies(B,implies(implies(implies(C,D),C),implies(E,C)))),
inference(resolution,[status(thm)],[156915376,148109152]),
[] ).
cnf(160519896,plain,
is_a_theorem(implies(implies(implies(implies(implies(E,F),E),implies(G,E)),A),implies(C,A))),
inference(resolution,[status(thm)],[156124696,157890048]),
[] ).
cnf(161091320,plain,
( ~ is_a_theorem(implies(implies(implies(implies(E,F),E),implies(G,E)),A))
| is_a_theorem(implies(C,A)) ),
inference(resolution,[status(thm)],[148104296,160519896]),
[] ).
cnf(156148280,plain,
( ~ is_a_theorem(implies(implies(implies(implies(B,C),D),implies(implies(D,B),implies(E,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148104296,148109152]),
[] ).
cnf(160439808,plain,
is_a_theorem(implies(implies(implies(D,A),implies(A,C)),implies(B,implies(A,C)))),
inference(resolution,[status(thm)],[156124696,156241808]),
[] ).
cnf(160776840,plain,
is_a_theorem(implies(implies(implies(C,implies(B,D)),implies(E,B)),implies(A,implies(E,B)))),
inference(resolution,[status(thm)],[156124696,160439808]),
[] ).
cnf(161561560,plain,
is_a_theorem(implies(D,implies(implies(implies(implies(C,A),E),A),implies(C,A)))),
inference(resolution,[status(thm)],[156148280,160776840]),
[] ).
cnf(161659616,plain,
is_a_theorem(implies(implies(implies(implies(D,B),E),B),implies(D,B))),
inference(resolution,[status(thm)],[155893112,161561560]),
[] ).
cnf(161788936,plain,
is_a_theorem(implies(implies(implies(E,A),implies(implies(E,A),F)),implies(B,implies(implies(E,A),F)))),
inference(resolution,[status(thm)],[156124696,161659616]),
[] ).
cnf(172180288,plain,
is_a_theorem(implies(B,implies(F,implies(implies(implies(D,E),D),D)))),
inference(resolution,[status(thm)],[161091320,161788936]),
[] ).
cnf(156349760,plain,
( is_a_theorem(implies(C,A))
| ~ is_a_theorem(implies(implies(D,D),implies(implies(A,B),A))) ),
inference(resolution,[status(thm)],[156277136,155893112]),
[] ).
fof(prove_ic_3,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),
[] ).
cnf(148117056,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(rewrite,[status(thm)],[prove_ic_3]),
[] ).
cnf(155911704,plain,
~ is_a_theorem(implies(implies(A,A),implies(implies(implies(a,b),a),a))),
inference(resolution,[status(thm)],[155893112,148117056]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[172180288,156349760,155911704]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 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/LCL083-2.tptp',unknown),[]).
%
% cnf(148104296,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(ic_JLukasiewicz,plain,(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),[]).
%
% cnf(148109152,plain,(is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A))))),inference(rewrite,[status(thm)],[ic_JLukasiewicz]),[]).
%
% cnf(156124696,plain,(~is_a_theorem(implies(implies(A,B),C))|is_a_theorem(implies(implies(C,A),implies(D,A)))),inference(resolution,[status(thm)],[148104296,148109152]),[]).
%
% fof(ic_1,plain,(is_a_theorem(implies(A,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),[]).
%
% cnf(148113240,plain,(is_a_theorem(implies(A,A))),inference(rewrite,[status(thm)],[ic_1]),[]).
%
% cnf(155893112,plain,(~is_a_theorem(implies(implies(B,B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148104296,148113240]),[]).
%
% cnf(156241808,plain,(is_a_theorem(implies(implies(implies(A,B),A),implies(C,A)))),inference(resolution,[status(thm)],[155893112,148109152]),[]).
%
% cnf(156277136,plain,(~is_a_theorem(implies(implies(A,B),A))|is_a_theorem(implies(C,A))),inference(resolution,[status(thm)],[156241808,148104296]),[]).
%
% cnf(156417920,plain,(is_a_theorem(implies(B,implies(A,A)))),inference(resolution,[status(thm)],[156277136,156241808]),[]).
%
% cnf(156440416,plain,(~is_a_theorem(implies(implies(B,implies(A,A)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[156417920,148104296]),[]).
%
% cnf(156855032,plain,(is_a_theorem(implies(implies(implies(A,A),B),implies(D,B)))),inference(resolution,[status(thm)],[156440416,148109152]),[]).
%
% cnf(156915376,plain,(~is_a_theorem(implies(implies(A,A),B))|is_a_theorem(implies(D,B))),inference(resolution,[status(thm)],[156855032,148104296]),[]).
%
% cnf(157890048,plain,(is_a_theorem(implies(B,implies(implies(implies(C,D),C),implies(E,C))))),inference(resolution,[status(thm)],[156915376,148109152]),[]).
%
% cnf(160519896,plain,(is_a_theorem(implies(implies(implies(implies(implies(E,F),E),implies(G,E)),A),implies(C,A)))),inference(resolution,[status(thm)],[156124696,157890048]),[]).
%
% cnf(161091320,plain,(~is_a_theorem(implies(implies(implies(implies(E,F),E),implies(G,E)),A))|is_a_theorem(implies(C,A))),inference(resolution,[status(thm)],[148104296,160519896]),[]).
%
% cnf(156148280,plain,(~is_a_theorem(implies(implies(implies(implies(B,C),D),implies(implies(D,B),implies(E,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148104296,148109152]),[]).
%
% cnf(160439808,plain,(is_a_theorem(implies(implies(implies(D,A),implies(A,C)),implies(B,implies(A,C))))),inference(resolution,[status(thm)],[156124696,156241808]),[]).
%
% cnf(160776840,plain,(is_a_theorem(implies(implies(implies(C,implies(B,D)),implies(E,B)),implies(A,implies(E,B))))),inference(resolution,[status(thm)],[156124696,160439808]),[]).
%
% cnf(161561560,plain,(is_a_theorem(implies(D,implies(implies(implies(implies(C,A),E),A),implies(C,A))))),inference(resolution,[status(thm)],[156148280,160776840]),[]).
%
% cnf(161659616,plain,(is_a_theorem(implies(implies(implies(implies(D,B),E),B),implies(D,B)))),inference(resolution,[status(thm)],[155893112,161561560]),[]).
%
% cnf(161788936,plain,(is_a_theorem(implies(implies(implies(E,A),implies(implies(E,A),F)),implies(B,implies(implies(E,A),F))))),inference(resolution,[status(thm)],[156124696,161659616]),[]).
%
% cnf(172180288,plain,(is_a_theorem(implies(B,implies(F,implies(implies(implies(D,E),D),D))))),inference(resolution,[status(thm)],[161091320,161788936]),[]).
%
% cnf(156349760,plain,(is_a_theorem(implies(C,A))|~is_a_theorem(implies(implies(D,D),implies(implies(A,B),A)))),inference(resolution,[status(thm)],[156277136,155893112]),[]).
%
% fof(prove_ic_3,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL083-2.tptp',unknown),[]).
%
% cnf(148117056,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),inference(rewrite,[status(thm)],[prove_ic_3]),[]).
%
% cnf(155911704,plain,(~is_a_theorem(implies(implies(A,A),implies(implies(implies(a,b),a),a)))),inference(resolution,[status(thm)],[155893112,148117056]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[172180288,156349760,155911704]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------