TSTP Solution File: LCL362-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL362-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 13:48:32 EDT 2009
% Result : Unsatisfiable 1.3s
% Output : Refutation 1.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 19 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 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 : 61 ( 14 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_11,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),
[] ).
cnf(152084416,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(rewrite,[status(thm)],[prove_cn_11]),
[] ).
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/LCL362-1.tptp',unknown),
[] ).
cnf(152063424,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),
[] ).
cnf(152072272,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(159874504,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[152063424,152072272]),
[] ).
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/LCL362-1.tptp',unknown),
[] ).
cnf(152068280,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(160564400,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[159874504,152068280]),
[] ).
cnf(160094640,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[152063424,152068280]),
[] ).
cnf(161682632,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[160564400,160094640]),
[] ).
cnf(171283496,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[152063424,161682632]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),
[] ).
cnf(152076248,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(160043128,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[152063424,152076248]),
[] ).
cnf(160794312,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[160043128,152068280]),
[] ).
cnf(162562816,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[160794312,152063424]),
[] ).
cnf(162627104,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[160794312,159874504]),
[] ).
cnf(160023888,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[152063424,152076248]),
[] ).
cnf(162790936,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[162627104,160023888]),
[] ).
cnf(163088424,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[162790936,160094640]),
[] ).
cnf(168504296,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[162562816,163088424]),
[] ).
cnf(168600768,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[160094640,168504296]),
[] ).
cnf(180960792,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[171283496,168600768]),
[] ).
cnf(181599520,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[152063424,180960792]),
[] ).
cnf(181835632,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[181599520,160564400]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[152084416,181835632]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_11,plain,(~is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),[]).
%
% cnf(152084416,plain,(~is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))),inference(rewrite,[status(thm)],[prove_cn_11]),[]).
%
% 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/LCL362-1.tptp',unknown),[]).
%
% cnf(152063424,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),[]).
%
% cnf(152072272,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(159874504,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[152063424,152072272]),[]).
%
% 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/LCL362-1.tptp',unknown),[]).
%
% cnf(152068280,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(160564400,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[159874504,152068280]),[]).
%
% cnf(160094640,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[152063424,152068280]),[]).
%
% cnf(161682632,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[160564400,160094640]),[]).
%
% cnf(171283496,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[152063424,161682632]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL362-1.tptp',unknown),[]).
%
% cnf(152076248,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(160043128,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[152063424,152076248]),[]).
%
% cnf(160794312,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[160043128,152068280]),[]).
%
% cnf(162562816,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[160794312,152063424]),[]).
%
% cnf(162627104,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[160794312,159874504]),[]).
%
% cnf(160023888,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[152063424,152076248]),[]).
%
% cnf(162790936,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[162627104,160023888]),[]).
%
% cnf(163088424,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[162790936,160094640]),[]).
%
% cnf(168504296,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[162562816,163088424]),[]).
%
% cnf(168600768,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[160094640,168504296]),[]).
%
% cnf(180960792,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[171283496,168600768]),[]).
%
% cnf(181599520,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[152063424,180960792]),[]).
%
% cnf(181835632,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[181599520,160564400]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152084416,181835632]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------