TSTP Solution File: LCL257-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL257-1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:47:32 EDT 2009
% Result : Unsatisfiable 13.6s
% Output : Refutation 13.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 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 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),
[] ).
cnf(164054536,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(yql,plain,
! [A,B,C] : is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),
[] ).
cnf(164059392,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C)))),
inference(rewrite,[status(thm)],[yql]),
[] ).
cnf(171842920,plain,
( ~ is_a_theorem(equivalent(A,B))
| is_a_theorem(equivalent(equivalent(C,B),equivalent(A,C))) ),
inference(resolution,[status(thm)],[164054536,164059392]),
[] ).
cnf(171954080,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(equivalent(C,B))
| is_a_theorem(equivalent(A,C)) ),
inference(resolution,[status(thm)],[171842920,164054536]),
[] ).
cnf(172114008,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))),
inference(resolution,[status(thm)],[171954080,164059392]),
[] ).
cnf(172210048,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[172114008,164054536]),
[] ).
cnf(171862552,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),equivalent(B,D))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[164054536,164059392]),
[] ).
cnf(172228376,plain,
is_a_theorem(equivalent(equivalent(C,equivalent(A,B)),equivalent(equivalent(A,B),C))),
inference(resolution,[status(thm)],[172114008,171842920]),
[] ).
cnf(173467480,plain,
is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(A,C)),equivalent(A,B))),
inference(resolution,[status(thm)],[171862552,172228376]),
[] ).
cnf(174551032,plain,
is_a_theorem(equivalent(A,A)),
inference(resolution,[status(thm)],[172210048,173467480]),
[] ).
cnf(174598800,plain,
is_a_theorem(equivalent(equivalent(B,A),equivalent(A,B))),
inference(resolution,[status(thm)],[171842920,174551032]),
[] ).
cnf(174617816,plain,
( ~ is_a_theorem(equivalent(B,A))
| is_a_theorem(equivalent(A,B)) ),
inference(resolution,[status(thm)],[164054536,174598800]),
[] ).
cnf(174503200,plain,
( ~ is_a_theorem(equivalent(equivalent(C,B),equivalent(A,C)))
| is_a_theorem(equivalent(A,B)) ),
inference(resolution,[status(thm)],[164054536,173467480]),
[] ).
cnf(172102288,plain,
( ~ is_a_theorem(equivalent(A,equivalent(equivalent(D,C),equivalent(B,D))))
| is_a_theorem(equivalent(equivalent(B,C),A)) ),
inference(resolution,[status(thm)],[171954080,164059392]),
[] ).
cnf(174463864,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))),
inference(resolution,[status(thm)],[172102288,172228376]),
[] ).
cnf(175104504,plain,
is_a_theorem(equivalent(equivalent(equivalent(B,A),B),A)),
inference(resolution,[status(thm)],[174503200,174463864]),
[] ).
cnf(175296432,plain,
is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B))),
inference(resolution,[status(thm)],[174617816,175104504]),
[] ).
cnf(175457816,plain,
is_a_theorem(equivalent(equivalent(B,equivalent(equivalent(C,A),C)),equivalent(A,B))),
inference(resolution,[status(thm)],[171842920,175296432]),
[] ).
cnf(185228624,plain,
( ~ is_a_theorem(equivalent(B,equivalent(equivalent(C,A),C)))
| is_a_theorem(equivalent(A,B)) ),
inference(resolution,[status(thm)],[164054536,175457816]),
[] ).
cnf(185674744,plain,
is_a_theorem(equivalent(A,equivalent(equivalent(C,B),equivalent(equivalent(B,A),C)))),
inference(resolution,[status(thm)],[185228624,173467480]),
[] ).
fof(prove_xhn,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),
[] ).
cnf(164063608,plain,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
inference(rewrite,[status(thm)],[prove_xhn]),
[] ).
cnf(172151184,plain,
( ~ is_a_theorem(equivalent(x,A))
| ~ is_a_theorem(equivalent(equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)),A)) ),
inference(resolution,[status(thm)],[171954080,164063608]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[185674744,172151184,174551032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 13 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),[]).
%
% cnf(164054536,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(yql,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),[]).
%
% cnf(164059392,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C))))),inference(rewrite,[status(thm)],[yql]),[]).
%
% cnf(171842920,plain,(~is_a_theorem(equivalent(A,B))|is_a_theorem(equivalent(equivalent(C,B),equivalent(A,C)))),inference(resolution,[status(thm)],[164054536,164059392]),[]).
%
% cnf(171954080,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(equivalent(C,B))|is_a_theorem(equivalent(A,C))),inference(resolution,[status(thm)],[171842920,164054536]),[]).
%
% cnf(172114008,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B)))),inference(resolution,[status(thm)],[171954080,164059392]),[]).
%
% cnf(172210048,plain,(~is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,B)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[172114008,164054536]),[]).
%
% cnf(171862552,plain,(~is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(D,C),equivalent(B,D))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[164054536,164059392]),[]).
%
% cnf(172228376,plain,(is_a_theorem(equivalent(equivalent(C,equivalent(A,B)),equivalent(equivalent(A,B),C)))),inference(resolution,[status(thm)],[172114008,171842920]),[]).
%
% cnf(173467480,plain,(is_a_theorem(equivalent(equivalent(equivalent(C,B),equivalent(A,C)),equivalent(A,B)))),inference(resolution,[status(thm)],[171862552,172228376]),[]).
%
% cnf(174551032,plain,(is_a_theorem(equivalent(A,A))),inference(resolution,[status(thm)],[172210048,173467480]),[]).
%
% cnf(174598800,plain,(is_a_theorem(equivalent(equivalent(B,A),equivalent(A,B)))),inference(resolution,[status(thm)],[171842920,174551032]),[]).
%
% cnf(174617816,plain,(~is_a_theorem(equivalent(B,A))|is_a_theorem(equivalent(A,B))),inference(resolution,[status(thm)],[164054536,174598800]),[]).
%
% cnf(174503200,plain,(~is_a_theorem(equivalent(equivalent(C,B),equivalent(A,C)))|is_a_theorem(equivalent(A,B))),inference(resolution,[status(thm)],[164054536,173467480]),[]).
%
% cnf(172102288,plain,(~is_a_theorem(equivalent(A,equivalent(equivalent(D,C),equivalent(B,D))))|is_a_theorem(equivalent(equivalent(B,C),A))),inference(resolution,[status(thm)],[171954080,164059392]),[]).
%
% cnf(174463864,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B))))),inference(resolution,[status(thm)],[172102288,172228376]),[]).
%
% cnf(175104504,plain,(is_a_theorem(equivalent(equivalent(equivalent(B,A),B),A))),inference(resolution,[status(thm)],[174503200,174463864]),[]).
%
% cnf(175296432,plain,(is_a_theorem(equivalent(A,equivalent(equivalent(B,A),B)))),inference(resolution,[status(thm)],[174617816,175104504]),[]).
%
% cnf(175457816,plain,(is_a_theorem(equivalent(equivalent(B,equivalent(equivalent(C,A),C)),equivalent(A,B)))),inference(resolution,[status(thm)],[171842920,175296432]),[]).
%
% cnf(185228624,plain,(~is_a_theorem(equivalent(B,equivalent(equivalent(C,A),C)))|is_a_theorem(equivalent(A,B))),inference(resolution,[status(thm)],[164054536,175457816]),[]).
%
% cnf(185674744,plain,(is_a_theorem(equivalent(A,equivalent(equivalent(C,B),equivalent(equivalent(B,A),C))))),inference(resolution,[status(thm)],[185228624,173467480]),[]).
%
% fof(prove_xhn,plain,(~is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL257-1.tptp',unknown),[]).
%
% cnf(164063608,plain,(~is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))),inference(rewrite,[status(thm)],[prove_xhn]),[]).
%
% cnf(172151184,plain,(~is_a_theorem(equivalent(x,A))|~is_a_theorem(equivalent(equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)),A))),inference(resolution,[status(thm)],[171954080,164063608]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[185674744,172151184,174551032]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------