TSTP Solution File: LCL075-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL075-1 : 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 13:41:12 EDT 2009
% Result : Unsatisfiable 17.1s
% Output : Refutation 17.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 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; 2 con; 0-2 aty)
% Number of variables : 57 ( 18 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_3,plain,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL075-1.tptp',unknown),
[] ).
cnf(160086792,plain,
~ is_a_theorem(implies(a,implies(not(a),b))),
inference(rewrite,[status(thm)],[prove_cn_3]),
[] ).
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/LCL075-1.tptp',unknown),
[] ).
cnf(160073528,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_CAMerideth,plain,
! [A,B,C,D,E] : is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL075-1.tptp',unknown),
[] ).
cnf(160078592,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A)))),
inference(rewrite,[status(thm)],[cn_CAMerideth]),
[] ).
cnf(168031632,plain,
( ~ is_a_theorem(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E))
| is_a_theorem(implies(implies(E,A),implies(D,A))) ),
inference(resolution,[status(thm)],[160073528,160078592]),
[] ).
cnf(169567328,plain,
is_a_theorem(implies(implies(implies(implies(A,C),implies(E,C)),implies(C,D)),implies(B,implies(C,D)))),
inference(resolution,[status(thm)],[168031632,160078592]),
[] ).
cnf(169636160,plain,
is_a_theorem(implies(implies(implies(C,implies(not(B),D)),A),implies(B,A))),
inference(resolution,[status(thm)],[168031632,169567328]),
[] ).
cnf(170106944,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(D,A))),
inference(resolution,[status(thm)],[168031632,169636160]),
[] ).
cnf(170516424,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(D,A)) ),
inference(resolution,[status(thm)],[160073528,170106944]),
[] ).
cnf(170676320,plain,
is_a_theorem(implies(B,implies(E,implies(D,D)))),
inference(resolution,[status(thm)],[170516424,170106944]),
[] ).
cnf(171121976,plain,
( ~ is_a_theorem(implies(implies(C,implies(F,implies(E,E))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160073528,170676320]),
[] ).
cnf(171235080,plain,
is_a_theorem(implies(implies(implies(D,implies(C,C)),E),implies(H,E))),
inference(resolution,[status(thm)],[171121976,160078592]),
[] ).
cnf(175506728,plain,
is_a_theorem(implies(implies(implies(H,C),A),implies(C,A))),
inference(resolution,[status(thm)],[168031632,171235080]),
[] ).
cnf(175585480,plain,
( ~ is_a_theorem(implies(implies(implies(implies(I,D),B),implies(D,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160073528,175506728]),
[] ).
cnf(175892824,plain,
is_a_theorem(implies(implies(implies(implies(not(C),not(D)),C),A),implies(D,A))),
inference(resolution,[status(thm)],[168031632,175506728]),
[] ).
cnf(215129448,plain,
is_a_theorem(implies(H,implies(not(H),A))),
inference(resolution,[status(thm)],[175585480,175892824]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160086792,215129448]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 17 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_3,plain,(~is_a_theorem(implies(a,implies(not(a),b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL075-1.tptp',unknown),[]).
%
% cnf(160086792,plain,(~is_a_theorem(implies(a,implies(not(a),b)))),inference(rewrite,[status(thm)],[prove_cn_3]),[]).
%
% 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/LCL075-1.tptp',unknown),[]).
%
% cnf(160073528,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_CAMerideth,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL075-1.tptp',unknown),[]).
%
% cnf(160078592,plain,(is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E),implies(implies(E,A),implies(D,A))))),inference(rewrite,[status(thm)],[cn_CAMerideth]),[]).
%
% cnf(168031632,plain,(~is_a_theorem(implies(implies(implies(implies(A,B),implies(not(C),not(D))),C),E))|is_a_theorem(implies(implies(E,A),implies(D,A)))),inference(resolution,[status(thm)],[160073528,160078592]),[]).
%
% cnf(169567328,plain,(is_a_theorem(implies(implies(implies(implies(A,C),implies(E,C)),implies(C,D)),implies(B,implies(C,D))))),inference(resolution,[status(thm)],[168031632,160078592]),[]).
%
% cnf(169636160,plain,(is_a_theorem(implies(implies(implies(C,implies(not(B),D)),A),implies(B,A)))),inference(resolution,[status(thm)],[168031632,169567328]),[]).
%
% cnf(170106944,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(D,A)))),inference(resolution,[status(thm)],[168031632,169636160]),[]).
%
% cnf(170516424,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(D,A))),inference(resolution,[status(thm)],[160073528,170106944]),[]).
%
% cnf(170676320,plain,(is_a_theorem(implies(B,implies(E,implies(D,D))))),inference(resolution,[status(thm)],[170516424,170106944]),[]).
%
% cnf(171121976,plain,(~is_a_theorem(implies(implies(C,implies(F,implies(E,E))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160073528,170676320]),[]).
%
% cnf(171235080,plain,(is_a_theorem(implies(implies(implies(D,implies(C,C)),E),implies(H,E)))),inference(resolution,[status(thm)],[171121976,160078592]),[]).
%
% cnf(175506728,plain,(is_a_theorem(implies(implies(implies(H,C),A),implies(C,A)))),inference(resolution,[status(thm)],[168031632,171235080]),[]).
%
% cnf(175585480,plain,(~is_a_theorem(implies(implies(implies(implies(I,D),B),implies(D,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160073528,175506728]),[]).
%
% cnf(175892824,plain,(is_a_theorem(implies(implies(implies(implies(not(C),not(D)),C),A),implies(D,A)))),inference(resolution,[status(thm)],[168031632,175506728]),[]).
%
% cnf(215129448,plain,(is_a_theorem(implies(H,implies(not(H),A)))),inference(resolution,[status(thm)],[175585480,175892824]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160086792,215129448]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------