TSTP Solution File: LCL034-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL034-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 13:40:20 EDT 2009
% Result : Unsatisfiable 56.5s
% Output : Refutation 56.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 31 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 137 ( 71 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/LCL034-1.tptp',unknown),
[] ).
cnf(143012056,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/LCL034-1.tptp',unknown),
[] ).
cnf(143017080,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(150829952,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)],[143012056,143017080]),
[] ).
cnf(151967768,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)],[150829952,143017080]),
[] ).
cnf(152985672,plain,
is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A))),
inference(resolution,[status(thm)],[150829952,151967768]),
[] ).
cnf(153029496,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,D)),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[143012056,152985672]),
[] ).
cnf(153111480,plain,
is_a_theorem(implies(A,implies(C,implies(falsehood,B)))),
inference(resolution,[status(thm)],[153029496,152985672]),
[] ).
cnf(153152000,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(C,implies(falsehood,B))) ),
inference(resolution,[status(thm)],[143012056,153111480]),
[] ).
cnf(153175344,plain,
is_a_theorem(implies(B,implies(falsehood,A))),
inference(resolution,[status(thm)],[153152000,153111480]),
[] ).
cnf(153204016,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,153175344]),
[] ).
cnf(153238168,plain,
is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B))),
inference(resolution,[status(thm)],[153204016,143017080]),
[] ).
cnf(153331400,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,153238168]),
[] ).
cnf(153200304,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(falsehood,B)) ),
inference(resolution,[status(thm)],[143012056,153175344]),
[] ).
cnf(153208168,plain,
is_a_theorem(implies(falsehood,A)),
inference(resolution,[status(thm)],[153200304,153175344]),
[] ).
cnf(153274008,plain,
( ~ is_a_theorem(implies(implies(falsehood,B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,153208168]),
[] ).
cnf(153367632,plain,
is_a_theorem(implies(C,implies(A,implies(D,A)))),
inference(resolution,[status(thm)],[153331400,151967768]),
[] ).
cnf(153422864,plain,
is_a_theorem(implies(B,implies(D,B))),
inference(resolution,[status(thm)],[153274008,153367632]),
[] ).
cnf(153484088,plain,
( ~ is_a_theorem(implies(implies(C,implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,153422864]),
[] ).
cnf(153656368,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)],[153484088,143017080]),
[] ).
cnf(158163592,plain,
is_a_theorem(implies(implies(implies(G,C),A),implies(implies(implies(C,F),implies(G,falsehood)),A))),
inference(resolution,[status(thm)],[150829952,153656368]),
[] ).
cnf(158534480,plain,
is_a_theorem(implies(implies(implies(B,H),implies(implies(falsehood,A),falsehood)),implies(D,B))),
inference(resolution,[status(thm)],[153331400,158163592]),
[] ).
cnf(159403072,plain,
is_a_theorem(implies(implies(implies(F,implies(A,B)),A),implies(C,A))),
inference(resolution,[status(thm)],[150829952,158534480]),
[] ).
cnf(159679152,plain,
is_a_theorem(implies(implies(implies(D,C),A),implies(C,A))),
inference(resolution,[status(thm)],[150829952,159403072]),
[] ).
cnf(159954520,plain,
is_a_theorem(implies(implies(implies(implies(C,falsehood),D),A),implies(C,A))),
inference(resolution,[status(thm)],[150829952,159679152]),
[] ).
cnf(165358728,plain,
is_a_theorem(implies(implies(implies(A,C),A),implies(B,A))),
inference(resolution,[status(thm)],[150829952,159954520]),
[] ).
cnf(171010376,plain,
( ~ is_a_theorem(implies(implies(implies(implies(B,D),B),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,165358728]),
[] ).
cnf(165216752,plain,
( ~ is_a_theorem(implies(implies(implies(C,falsehood),D),A))
| is_a_theorem(implies(C,A)) ),
inference(resolution,[status(thm)],[143012056,159954520]),
[] ).
cnf(165569216,plain,
is_a_theorem(implies(implies(D,falsehood),implies(D,B))),
inference(resolution,[status(thm)],[165216752,159954520]),
[] ).
cnf(165810976,plain,
( ~ is_a_theorem(implies(implies(implies(E,falsehood),implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,165569216]),
[] ).
cnf(158378008,plain,
is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(C,implies(I,E)))),
inference(resolution,[status(thm)],[153484088,158163592]),
[] ).
cnf(166052464,plain,
is_a_theorem(implies(F,implies(C,C))),
inference(resolution,[status(thm)],[165810976,158378008]),
[] ).
cnf(166185816,plain,
is_a_theorem(implies(D,D)),
inference(resolution,[status(thm)],[153274008,166052464]),
[] ).
cnf(166454760,plain,
( ~ is_a_theorem(implies(implies(E,E),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,166185816]),
[] ).
cnf(166523472,plain,
is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(I,E))),
inference(resolution,[status(thm)],[166454760,158163592]),
[] ).
cnf(189822640,plain,
( ~ is_a_theorem(implies(implies(E,H),implies(I,falsehood)))
| is_a_theorem(implies(I,E)) ),
inference(resolution,[status(thm)],[143012056,166523472]),
[] ).
cnf(166002600,plain,
is_a_theorem(implies(B,implies(implies(B,falsehood),D))),
inference(resolution,[status(thm)],[165216752,165569216]),
[] ).
cnf(167990744,plain,
is_a_theorem(implies(B,implies(implies(implies(implies(B,falsehood),C),falsehood),F))),
inference(resolution,[status(thm)],[165216752,166002600]),
[] ).
cnf(195745240,plain,
is_a_theorem(implies(implies(implies(implies(implies(E,H),falsehood),J),falsehood),E)),
inference(resolution,[status(thm)],[189822640,167990744]),
[] ).
cnf(220102512,plain,
is_a_theorem(implies(implies(B,implies(B,I)),implies(A,implies(B,I)))),
inference(resolution,[status(thm)],[150829952,195745240]),
[] ).
cnf(265863984,plain,
is_a_theorem(implies(C,implies(implies(implies(A,B),A),A))),
inference(resolution,[status(thm)],[171010376,220102512]),
[] ).
cnf(153470704,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(D,A)) ),
inference(resolution,[status(thm)],[143012056,153422864]),
[] ).
cnf(153538864,plain,
is_a_theorem(implies(C,implies(F,implies(D,implies(G,D))))),
inference(resolution,[status(thm)],[153470704,153367632]),
[] ).
fof(prove_c0_3,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL034-1.tptp',unknown),
[] ).
cnf(143021248,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(rewrite,[status(thm)],[prove_c0_3]),
[] ).
cnf(150801464,plain,
( ~ is_a_theorem(implies(A,implies(implies(implies(a,b),a),a)))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[143012056,143021248]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[265863984,153538864,150801464]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 57 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/LCL034-1.tptp',unknown),[]).
%
% cnf(143012056,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/LCL034-1.tptp',unknown),[]).
%
% cnf(143017080,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(150829952,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)],[143012056,143017080]),[]).
%
% cnf(151967768,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)],[150829952,143017080]),[]).
%
% cnf(152985672,plain,(is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A)))),inference(resolution,[status(thm)],[150829952,151967768]),[]).
%
% cnf(153029496,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,D)),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[143012056,152985672]),[]).
%
% cnf(153111480,plain,(is_a_theorem(implies(A,implies(C,implies(falsehood,B))))),inference(resolution,[status(thm)],[153029496,152985672]),[]).
%
% cnf(153152000,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(falsehood,B)))),inference(resolution,[status(thm)],[143012056,153111480]),[]).
%
% cnf(153175344,plain,(is_a_theorem(implies(B,implies(falsehood,A)))),inference(resolution,[status(thm)],[153152000,153111480]),[]).
%
% cnf(153204016,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,153175344]),[]).
%
% cnf(153238168,plain,(is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B)))),inference(resolution,[status(thm)],[153204016,143017080]),[]).
%
% cnf(153331400,plain,(~is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,153238168]),[]).
%
% cnf(153200304,plain,(~is_a_theorem(A)|is_a_theorem(implies(falsehood,B))),inference(resolution,[status(thm)],[143012056,153175344]),[]).
%
% cnf(153208168,plain,(is_a_theorem(implies(falsehood,A))),inference(resolution,[status(thm)],[153200304,153175344]),[]).
%
% cnf(153274008,plain,(~is_a_theorem(implies(implies(falsehood,B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,153208168]),[]).
%
% cnf(153367632,plain,(is_a_theorem(implies(C,implies(A,implies(D,A))))),inference(resolution,[status(thm)],[153331400,151967768]),[]).
%
% cnf(153422864,plain,(is_a_theorem(implies(B,implies(D,B)))),inference(resolution,[status(thm)],[153274008,153367632]),[]).
%
% cnf(153484088,plain,(~is_a_theorem(implies(implies(C,implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,153422864]),[]).
%
% cnf(153656368,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)],[153484088,143017080]),[]).
%
% cnf(158163592,plain,(is_a_theorem(implies(implies(implies(G,C),A),implies(implies(implies(C,F),implies(G,falsehood)),A)))),inference(resolution,[status(thm)],[150829952,153656368]),[]).
%
% cnf(158534480,plain,(is_a_theorem(implies(implies(implies(B,H),implies(implies(falsehood,A),falsehood)),implies(D,B)))),inference(resolution,[status(thm)],[153331400,158163592]),[]).
%
% cnf(159403072,plain,(is_a_theorem(implies(implies(implies(F,implies(A,B)),A),implies(C,A)))),inference(resolution,[status(thm)],[150829952,158534480]),[]).
%
% cnf(159679152,plain,(is_a_theorem(implies(implies(implies(D,C),A),implies(C,A)))),inference(resolution,[status(thm)],[150829952,159403072]),[]).
%
% cnf(159954520,plain,(is_a_theorem(implies(implies(implies(implies(C,falsehood),D),A),implies(C,A)))),inference(resolution,[status(thm)],[150829952,159679152]),[]).
%
% cnf(165358728,plain,(is_a_theorem(implies(implies(implies(A,C),A),implies(B,A)))),inference(resolution,[status(thm)],[150829952,159954520]),[]).
%
% cnf(171010376,plain,(~is_a_theorem(implies(implies(implies(implies(B,D),B),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,165358728]),[]).
%
% cnf(165216752,plain,(~is_a_theorem(implies(implies(implies(C,falsehood),D),A))|is_a_theorem(implies(C,A))),inference(resolution,[status(thm)],[143012056,159954520]),[]).
%
% cnf(165569216,plain,(is_a_theorem(implies(implies(D,falsehood),implies(D,B)))),inference(resolution,[status(thm)],[165216752,159954520]),[]).
%
% cnf(165810976,plain,(~is_a_theorem(implies(implies(implies(E,falsehood),implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,165569216]),[]).
%
% cnf(158378008,plain,(is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(C,implies(I,E))))),inference(resolution,[status(thm)],[153484088,158163592]),[]).
%
% cnf(166052464,plain,(is_a_theorem(implies(F,implies(C,C)))),inference(resolution,[status(thm)],[165810976,158378008]),[]).
%
% cnf(166185816,plain,(is_a_theorem(implies(D,D))),inference(resolution,[status(thm)],[153274008,166052464]),[]).
%
% cnf(166454760,plain,(~is_a_theorem(implies(implies(E,E),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,166185816]),[]).
%
% cnf(166523472,plain,(is_a_theorem(implies(implies(implies(E,H),implies(I,falsehood)),implies(I,E)))),inference(resolution,[status(thm)],[166454760,158163592]),[]).
%
% cnf(189822640,plain,(~is_a_theorem(implies(implies(E,H),implies(I,falsehood)))|is_a_theorem(implies(I,E))),inference(resolution,[status(thm)],[143012056,166523472]),[]).
%
% cnf(166002600,plain,(is_a_theorem(implies(B,implies(implies(B,falsehood),D)))),inference(resolution,[status(thm)],[165216752,165569216]),[]).
%
% cnf(167990744,plain,(is_a_theorem(implies(B,implies(implies(implies(implies(B,falsehood),C),falsehood),F)))),inference(resolution,[status(thm)],[165216752,166002600]),[]).
%
% cnf(195745240,plain,(is_a_theorem(implies(implies(implies(implies(implies(E,H),falsehood),J),falsehood),E))),inference(resolution,[status(thm)],[189822640,167990744]),[]).
%
% cnf(220102512,plain,(is_a_theorem(implies(implies(B,implies(B,I)),implies(A,implies(B,I))))),inference(resolution,[status(thm)],[150829952,195745240]),[]).
%
% cnf(265863984,plain,(is_a_theorem(implies(C,implies(implies(implies(A,B),A),A)))),inference(resolution,[status(thm)],[171010376,220102512]),[]).
%
% cnf(153470704,plain,(~is_a_theorem(A)|is_a_theorem(implies(D,A))),inference(resolution,[status(thm)],[143012056,153422864]),[]).
%
% cnf(153538864,plain,(is_a_theorem(implies(C,implies(F,implies(D,implies(G,D)))))),inference(resolution,[status(thm)],[153470704,153367632]),[]).
%
% fof(prove_c0_3,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL034-1.tptp',unknown),[]).
%
% cnf(143021248,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),inference(rewrite,[status(thm)],[prove_c0_3]),[]).
%
% cnf(150801464,plain,(~is_a_theorem(implies(A,implies(implies(implies(a,b),a),a)))|~is_a_theorem(A)),inference(resolution,[status(thm)],[143012056,143021248]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[265863984,153538864,150801464]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------