TSTP Solution File: LCL036-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL036-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 13:40:23 EDT 2009
% Result : Unsatisfiable 3.5s
% Output : Refutation 3.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 24 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 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 : 105 ( 56 sgn 7 !; 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/LCL036-1.tptp',unknown),
[] ).
cnf(142067608,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/LCL036-1.tptp',unknown),
[] ).
cnf(142058480,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(c0_CAMerideth,plain,
! [A,B,C,D,E] : is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL036-1.tptp',unknown),
[] ).
cnf(142063472,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
inference(rewrite,[status(thm)],[c0_CAMerideth]),
[] ).
cnf(149871416,plain,
( ~ is_a_theorem(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E))
| is_a_theorem(implies(implies(E,A),implies(C,A))) ),
inference(resolution,[status(thm)],[142058480,142063472]),
[] ).
cnf(150713880,plain,
is_a_theorem(implies(implies(implies(implies(B,C),implies(E,C)),implies(C,D)),implies(A,implies(C,D)))),
inference(resolution,[status(thm)],[149871416,142063472]),
[] ).
cnf(152084152,plain,
is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A))),
inference(resolution,[status(thm)],[149871416,150713880]),
[] ).
cnf(152127936,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,D)),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[142058480,152084152]),
[] ).
cnf(152209968,plain,
is_a_theorem(implies(A,implies(C,implies(falsehood,B)))),
inference(resolution,[status(thm)],[152127936,152084152]),
[] ).
cnf(152250280,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(C,implies(falsehood,B))) ),
inference(resolution,[status(thm)],[142058480,152209968]),
[] ).
cnf(152273936,plain,
is_a_theorem(implies(B,implies(falsehood,A))),
inference(resolution,[status(thm)],[152250280,152209968]),
[] ).
cnf(152298688,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(falsehood,B)) ),
inference(resolution,[status(thm)],[142058480,152273936]),
[] ).
cnf(152306808,plain,
is_a_theorem(implies(falsehood,A)),
inference(resolution,[status(thm)],[152298688,152273936]),
[] ).
cnf(152372448,plain,
( ~ is_a_theorem(implies(implies(falsehood,B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142058480,152306808]),
[] ).
cnf(152302464,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142058480,152273936]),
[] ).
cnf(152336656,plain,
is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B))),
inference(resolution,[status(thm)],[152302464,142063472]),
[] ).
cnf(152429872,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142058480,152336656]),
[] ).
cnf(152466000,plain,
is_a_theorem(implies(C,implies(A,implies(D,A)))),
inference(resolution,[status(thm)],[152429872,150713880]),
[] ).
cnf(152521264,plain,
is_a_theorem(implies(B,implies(D,B))),
inference(resolution,[status(thm)],[152372448,152466000]),
[] ).
cnf(152582584,plain,
( ~ is_a_theorem(implies(implies(C,implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142058480,152521264]),
[] ).
cnf(152754880,plain,
is_a_theorem(implies(implies(implies(C,implies(implies(implies(D,E),implies(F,falsehood)),G)),D),implies(F,D))),
inference(resolution,[status(thm)],[152582584,142063472]),
[] ).
cnf(157259968,plain,
is_a_theorem(implies(implies(implies(G,C),A),implies(implies(implies(C,F),implies(G,falsehood)),A))),
inference(resolution,[status(thm)],[149871416,152754880]),
[] ).
cnf(157630768,plain,
is_a_theorem(implies(implies(implies(B,H),implies(implies(falsehood,A),falsehood)),implies(D,B))),
inference(resolution,[status(thm)],[152429872,157259968]),
[] ).
cnf(158499408,plain,
is_a_theorem(implies(implies(implies(F,implies(A,B)),A),implies(C,A))),
inference(resolution,[status(thm)],[149871416,157630768]),
[] ).
cnf(158775480,plain,
is_a_theorem(implies(implies(implies(D,C),A),implies(C,A))),
inference(resolution,[status(thm)],[149871416,158499408]),
[] ).
cnf(159050872,plain,
is_a_theorem(implies(implies(implies(implies(C,falsehood),D),A),implies(C,A))),
inference(resolution,[status(thm)],[149871416,158775480]),
[] ).
cnf(164306888,plain,
( ~ is_a_theorem(implies(implies(implies(C,falsehood),D),A))
| is_a_theorem(implies(C,A)) ),
inference(resolution,[status(thm)],[142058480,159050872]),
[] ).
cnf(164653896,plain,
is_a_theorem(implies(implies(D,falsehood),implies(D,B))),
inference(resolution,[status(thm)],[164306888,159050872]),
[] ).
cnf(165083168,plain,
is_a_theorem(implies(B,implies(implies(B,falsehood),D))),
inference(resolution,[status(thm)],[164306888,164653896]),
[] ).
cnf(165699144,plain,
( ~ is_a_theorem(implies(implies(C,implies(implies(C,falsehood),E)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142058480,165083168]),
[] ).
cnf(157474312,plain,
is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(C,implies(I,E)))),
inference(resolution,[status(thm)],[152582584,157259968]),
[] ).
cnf(167135040,plain,
is_a_theorem(implies(E,implies(implies(implies(G,J),falsehood),G))),
inference(resolution,[status(thm)],[165699144,157474312]),
[] ).
cnf(174381976,plain,
is_a_theorem(implies(implies(implies(G,J),falsehood),G)),
inference(resolution,[status(thm)],[152372448,167135040]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[142067608,174381976]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 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/LCL036-1.tptp',unknown),[]).
%
% cnf(142067608,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/LCL036-1.tptp',unknown),[]).
%
% cnf(142058480,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(c0_CAMerideth,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL036-1.tptp',unknown),[]).
%
% cnf(142063472,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A))))),inference(rewrite,[status(thm)],[c0_CAMerideth]),[]).
%
% cnf(149871416,plain,(~is_a_theorem(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E))|is_a_theorem(implies(implies(E,A),implies(C,A)))),inference(resolution,[status(thm)],[142058480,142063472]),[]).
%
% cnf(150713880,plain,(is_a_theorem(implies(implies(implies(implies(B,C),implies(E,C)),implies(C,D)),implies(A,implies(C,D))))),inference(resolution,[status(thm)],[149871416,142063472]),[]).
%
% cnf(152084152,plain,(is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A)))),inference(resolution,[status(thm)],[149871416,150713880]),[]).
%
% cnf(152127936,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,D)),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[142058480,152084152]),[]).
%
% cnf(152209968,plain,(is_a_theorem(implies(A,implies(C,implies(falsehood,B))))),inference(resolution,[status(thm)],[152127936,152084152]),[]).
%
% cnf(152250280,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(falsehood,B)))),inference(resolution,[status(thm)],[142058480,152209968]),[]).
%
% cnf(152273936,plain,(is_a_theorem(implies(B,implies(falsehood,A)))),inference(resolution,[status(thm)],[152250280,152209968]),[]).
%
% cnf(152298688,plain,(~is_a_theorem(A)|is_a_theorem(implies(falsehood,B))),inference(resolution,[status(thm)],[142058480,152273936]),[]).
%
% cnf(152306808,plain,(is_a_theorem(implies(falsehood,A))),inference(resolution,[status(thm)],[152298688,152273936]),[]).
%
% cnf(152372448,plain,(~is_a_theorem(implies(implies(falsehood,B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142058480,152306808]),[]).
%
% cnf(152302464,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142058480,152273936]),[]).
%
% cnf(152336656,plain,(is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B)))),inference(resolution,[status(thm)],[152302464,142063472]),[]).
%
% cnf(152429872,plain,(~is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142058480,152336656]),[]).
%
% cnf(152466000,plain,(is_a_theorem(implies(C,implies(A,implies(D,A))))),inference(resolution,[status(thm)],[152429872,150713880]),[]).
%
% cnf(152521264,plain,(is_a_theorem(implies(B,implies(D,B)))),inference(resolution,[status(thm)],[152372448,152466000]),[]).
%
% cnf(152582584,plain,(~is_a_theorem(implies(implies(C,implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142058480,152521264]),[]).
%
% cnf(152754880,plain,(is_a_theorem(implies(implies(implies(C,implies(implies(implies(D,E),implies(F,falsehood)),G)),D),implies(F,D)))),inference(resolution,[status(thm)],[152582584,142063472]),[]).
%
% cnf(157259968,plain,(is_a_theorem(implies(implies(implies(G,C),A),implies(implies(implies(C,F),implies(G,falsehood)),A)))),inference(resolution,[status(thm)],[149871416,152754880]),[]).
%
% cnf(157630768,plain,(is_a_theorem(implies(implies(implies(B,H),implies(implies(falsehood,A),falsehood)),implies(D,B)))),inference(resolution,[status(thm)],[152429872,157259968]),[]).
%
% cnf(158499408,plain,(is_a_theorem(implies(implies(implies(F,implies(A,B)),A),implies(C,A)))),inference(resolution,[status(thm)],[149871416,157630768]),[]).
%
% cnf(158775480,plain,(is_a_theorem(implies(implies(implies(D,C),A),implies(C,A)))),inference(resolution,[status(thm)],[149871416,158499408]),[]).
%
% cnf(159050872,plain,(is_a_theorem(implies(implies(implies(implies(C,falsehood),D),A),implies(C,A)))),inference(resolution,[status(thm)],[149871416,158775480]),[]).
%
% cnf(164306888,plain,(~is_a_theorem(implies(implies(implies(C,falsehood),D),A))|is_a_theorem(implies(C,A))),inference(resolution,[status(thm)],[142058480,159050872]),[]).
%
% cnf(164653896,plain,(is_a_theorem(implies(implies(D,falsehood),implies(D,B)))),inference(resolution,[status(thm)],[164306888,159050872]),[]).
%
% cnf(165083168,plain,(is_a_theorem(implies(B,implies(implies(B,falsehood),D)))),inference(resolution,[status(thm)],[164306888,164653896]),[]).
%
% cnf(165699144,plain,(~is_a_theorem(implies(implies(C,implies(implies(C,falsehood),E)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142058480,165083168]),[]).
%
% cnf(157474312,plain,(is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(C,implies(I,E))))),inference(resolution,[status(thm)],[152582584,157259968]),[]).
%
% cnf(167135040,plain,(is_a_theorem(implies(E,implies(implies(implies(G,J),falsehood),G)))),inference(resolution,[status(thm)],[165699144,157474312]),[]).
%
% cnf(174381976,plain,(is_a_theorem(implies(implies(implies(G,J),falsehood),G))),inference(resolution,[status(thm)],[152372448,167135040]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[142067608,174381976]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------