%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL029-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:40:14 EDT 2009
% Result : Unsatisfiable 11.4s
% Output : Refutation 11.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 19 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 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 : 60 ( 21 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_c0_5,plain,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),
[] ).
cnf(169226616,plain,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
inference(rewrite,[status(thm)],[prove_c0_5]),
[] ).
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/LCL029-1.tptp',unknown),
[] ).
cnf(169232312,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(c0_3,plain,
! [A,B] : is_a_theorem(implies(implies(implies(A,B),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),
[] ).
cnf(169245080,plain,
is_a_theorem(implies(implies(implies(A,B),A),A)),
inference(rewrite,[status(thm)],[c0_3]),
[] ).
cnf(177194456,plain,
( ~ is_a_theorem(implies(implies(implies(implies(B,C),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169232312,169245080]),
[] ).
fof(c0_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/LCL029-1.tptp',unknown),
[] ).
cnf(169237136,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[c0_1]),
[] ).
cnf(177262120,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[169232312,169237136]),
[] ).
cnf(177175168,plain,
( ~ is_a_theorem(implies(implies(A,B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169232312,169245080]),
[] ).
fof(c0_2,plain,
! [A,B] : is_a_theorem(implies(A,implies(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),
[] ).
cnf(169241248,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(rewrite,[status(thm)],[c0_2]),
[] ).
cnf(177048560,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[169232312,169241248]),
[] ).
fof(c0_4,plain,
! [A] : is_a_theorem(implies(falsehood,A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),
[] ).
cnf(169248632,plain,
is_a_theorem(implies(falsehood,A)),
inference(rewrite,[status(thm)],[c0_4]),
[] ).
cnf(177086248,plain,
is_a_theorem(implies(A,implies(falsehood,B))),
inference(resolution,[status(thm)],[177048560,169248632]),
[] ).
cnf(177106456,plain,
( ~ is_a_theorem(implies(implies(B,implies(falsehood,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169232312,177086248]),
[] ).
cnf(177158856,plain,
is_a_theorem(implies(implies(implies(falsehood,B),C),implies(A,C))),
inference(resolution,[status(thm)],[177106456,169237136]),
[] ).
cnf(182466872,plain,
is_a_theorem(implies(implies(implies(B,D),A),implies(implies(implies(falsehood,C),D),A))),
inference(resolution,[status(thm)],[177262120,177158856]),
[] ).
cnf(201449688,plain,
is_a_theorem(implies(implies(implies(falsehood,B),A),A)),
inference(resolution,[status(thm)],[177175168,182466872]),
[] ).
cnf(202037584,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(falsehood,C),A),B))),
inference(resolution,[status(thm)],[177262120,201449688]),
[] ).
cnf(205017072,plain,
is_a_theorem(implies(implies(implies(falsehood,C),implies(implies(A,B),A)),A)),
inference(resolution,[status(thm)],[177194456,202037584]),
[] ).
cnf(207738808,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,D),implies(implies(B,C),B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[169232312,205017072]),
[] ).
cnf(182404864,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[177262120,169237136]),
[] ).
cnf(252374952,plain,
is_a_theorem(implies(implies(implies(A,B),falsehood),A)),
inference(resolution,[status(thm)],[207738808,182404864]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169226616,252374952]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 11 seconds
% START OF PROOF SEQUENCE
% fof(prove_c0_5,plain,(~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),[]).
%
% cnf(169226616,plain,(~is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a))),inference(rewrite,[status(thm)],[prove_c0_5]),[]).
%
% 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/LCL029-1.tptp',unknown),[]).
%
% cnf(169232312,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(c0_3,plain,(is_a_theorem(implies(implies(implies(A,B),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),[]).
%
% cnf(169245080,plain,(is_a_theorem(implies(implies(implies(A,B),A),A))),inference(rewrite,[status(thm)],[c0_3]),[]).
%
% cnf(177194456,plain,(~is_a_theorem(implies(implies(implies(implies(B,C),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169232312,169245080]),[]).
%
% fof(c0_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/LCL029-1.tptp',unknown),[]).
%
% cnf(169237136,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[c0_1]),[]).
%
% cnf(177262120,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[169232312,169237136]),[]).
%
% cnf(177175168,plain,(~is_a_theorem(implies(implies(A,B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169232312,169245080]),[]).
%
% fof(c0_2,plain,(is_a_theorem(implies(A,implies(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),[]).
%
% cnf(169241248,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(rewrite,[status(thm)],[c0_2]),[]).
%
% cnf(177048560,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[169232312,169241248]),[]).
%
% fof(c0_4,plain,(is_a_theorem(implies(falsehood,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL029-1.tptp',unknown),[]).
%
% cnf(169248632,plain,(is_a_theorem(implies(falsehood,A))),inference(rewrite,[status(thm)],[c0_4]),[]).
%
% cnf(177086248,plain,(is_a_theorem(implies(A,implies(falsehood,B)))),inference(resolution,[status(thm)],[177048560,169248632]),[]).
%
% cnf(177106456,plain,(~is_a_theorem(implies(implies(B,implies(falsehood,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169232312,177086248]),[]).
%
% cnf(177158856,plain,(is_a_theorem(implies(implies(implies(falsehood,B),C),implies(A,C)))),inference(resolution,[status(thm)],[177106456,169237136]),[]).
%
% cnf(182466872,plain,(is_a_theorem(implies(implies(implies(B,D),A),implies(implies(implies(falsehood,C),D),A)))),inference(resolution,[status(thm)],[177262120,177158856]),[]).
%
% cnf(201449688,plain,(is_a_theorem(implies(implies(implies(falsehood,B),A),A))),inference(resolution,[status(thm)],[177175168,182466872]),[]).
%
% cnf(202037584,plain,(is_a_theorem(implies(implies(A,B),implies(implies(implies(falsehood,C),A),B)))),inference(resolution,[status(thm)],[177262120,201449688]),[]).
%
% cnf(205017072,plain,(is_a_theorem(implies(implies(implies(falsehood,C),implies(implies(A,B),A)),A))),inference(resolution,[status(thm)],[177194456,202037584]),[]).
%
% cnf(207738808,plain,(~is_a_theorem(implies(implies(implies(implies(falsehood,D),implies(implies(B,C),B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[169232312,205017072]),[]).
%
% cnf(182404864,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[177262120,169237136]),[]).
%
% cnf(252374952,plain,(is_a_theorem(implies(implies(implies(A,B),falsehood),A))),inference(resolution,[status(thm)],[207738808,182404864]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169226616,252374952]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------