TSTP Solution File: LCL033-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL033-1 : 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 13:40:18 EDT 2009
% Result : Unsatisfiable 1.8s
% Output : Refutation 1.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 33 ( 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; 3 con; 0-2 aty)
% Number of variables : 60 ( 34 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_c0_2,plain,
~ is_a_theorem(implies(a,implies(b,a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL033-1.tptp',unknown),
[] ).
cnf(150577384,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(rewrite,[status(thm)],[prove_c0_2]),
[] ).
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/LCL033-1.tptp',unknown),
[] ).
cnf(150568264,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/LCL033-1.tptp',unknown),
[] ).
cnf(150573288,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(158385984,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)],[150568264,150573288]),
[] ).
cnf(159228872,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)],[158385984,150573288]),
[] ).
cnf(161617120,plain,
is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A))),
inference(resolution,[status(thm)],[158385984,159228872]),
[] ).
cnf(161660792,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,D)),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[150568264,161617120]),
[] ).
cnf(161742792,plain,
is_a_theorem(implies(A,implies(C,implies(falsehood,B)))),
inference(resolution,[status(thm)],[161660792,161617120]),
[] ).
cnf(161783256,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(C,implies(falsehood,B))) ),
inference(resolution,[status(thm)],[150568264,161742792]),
[] ).
cnf(161806656,plain,
is_a_theorem(implies(B,implies(falsehood,A))),
inference(resolution,[status(thm)],[161783256,161742792]),
[] ).
cnf(161831656,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(falsehood,B)) ),
inference(resolution,[status(thm)],[150568264,161806656]),
[] ).
cnf(161839704,plain,
is_a_theorem(implies(falsehood,A)),
inference(resolution,[status(thm)],[161831656,161806656]),
[] ).
cnf(161905344,plain,
( ~ is_a_theorem(implies(implies(falsehood,B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[150568264,161839704]),
[] ).
cnf(161835352,plain,
( ~ is_a_theorem(implies(implies(C,implies(falsehood,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[150568264,161806656]),
[] ).
cnf(161869512,plain,
is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B))),
inference(resolution,[status(thm)],[161835352,150573288]),
[] ).
cnf(161962728,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[150568264,161869512]),
[] ).
cnf(161999672,plain,
is_a_theorem(implies(C,implies(A,implies(D,A)))),
inference(resolution,[status(thm)],[161962728,159228872]),
[] ).
cnf(162054984,plain,
is_a_theorem(implies(B,implies(D,B))),
inference(resolution,[status(thm)],[161905344,161999672]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[150577384,162054984]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(prove_c0_2,plain,(~is_a_theorem(implies(a,implies(b,a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL033-1.tptp',unknown),[]).
%
% cnf(150577384,plain,(~is_a_theorem(implies(a,implies(b,a)))),inference(rewrite,[status(thm)],[prove_c0_2]),[]).
%
% 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/LCL033-1.tptp',unknown),[]).
%
% cnf(150568264,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/LCL033-1.tptp',unknown),[]).
%
% cnf(150573288,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(158385984,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)],[150568264,150573288]),[]).
%
% cnf(159228872,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)],[158385984,150573288]),[]).
%
% cnf(161617120,plain,(is_a_theorem(implies(implies(implies(C,implies(falsehood,D)),A),implies(B,A)))),inference(resolution,[status(thm)],[158385984,159228872]),[]).
%
% cnf(161660792,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,D)),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[150568264,161617120]),[]).
%
% cnf(161742792,plain,(is_a_theorem(implies(A,implies(C,implies(falsehood,B))))),inference(resolution,[status(thm)],[161660792,161617120]),[]).
%
% cnf(161783256,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(falsehood,B)))),inference(resolution,[status(thm)],[150568264,161742792]),[]).
%
% cnf(161806656,plain,(is_a_theorem(implies(B,implies(falsehood,A)))),inference(resolution,[status(thm)],[161783256,161742792]),[]).
%
% cnf(161831656,plain,(~is_a_theorem(A)|is_a_theorem(implies(falsehood,B))),inference(resolution,[status(thm)],[150568264,161806656]),[]).
%
% cnf(161839704,plain,(is_a_theorem(implies(falsehood,A))),inference(resolution,[status(thm)],[161831656,161806656]),[]).
%
% cnf(161905344,plain,(~is_a_theorem(implies(implies(falsehood,B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[150568264,161839704]),[]).
%
% cnf(161835352,plain,(~is_a_theorem(implies(implies(C,implies(falsehood,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[150568264,161806656]),[]).
%
% cnf(161869512,plain,(is_a_theorem(implies(implies(implies(falsehood,A),B),implies(D,B)))),inference(resolution,[status(thm)],[161835352,150573288]),[]).
%
% cnf(161962728,plain,(~is_a_theorem(implies(implies(implies(implies(falsehood,B),C),implies(E,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[150568264,161869512]),[]).
%
% cnf(161999672,plain,(is_a_theorem(implies(C,implies(A,implies(D,A))))),inference(resolution,[status(thm)],[161962728,159228872]),[]).
%
% cnf(162054984,plain,(is_a_theorem(implies(B,implies(D,B)))),inference(resolution,[status(thm)],[161905344,161999672]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[150577384,162054984]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------