%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL465+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 13:51:01 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 6 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 0 con; 2-3 aty)
% Number of variables : 15 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cn1,plain,
! [A,B,C] :
( ( ~ cn1
| is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) )
& ( cn1
| ~ is_a_theorem(implies(implies(p(A,B,C),q(A,B,C)),implies(implies(q(A,B,C),r(A,B,C)),implies(p(A,B,C),r(A,B,C))))) ) ),
file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),
[] ).
cnf(163671072,plain,
( ~ cn1
| is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) ),
inference(rewrite,[status(thm)],[cn1]),
[] ).
fof(luka_cn1,plain,
cn1,
file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),
[] ).
cnf(164035200,plain,
cn1,
inference(rewrite,[status(thm)],[luka_cn1]),
[] ).
cnf(172499984,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(resolution,[status(thm)],[163671072,164035200]),
[] ).
fof(implies_3,plain,
! [A,B,C] :
( ( ~ implies_3
| is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))) )
& ( implies_3
| ~ is_a_theorem(implies(implies(x(A,B,C),y(A,B,C)),implies(implies(y(A,B,C),z(A,B,C)),implies(x(A,B,C),z(A,B,C))))) ) ),
file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),
[] ).
cnf(163221096,plain,
( implies_3
| ~ is_a_theorem(implies(implies(x(A,B,C),y(A,B,C)),implies(implies(y(A,B,C),z(A,B,C)),implies(x(A,B,C),z(A,B,C))))) ),
inference(rewrite,[status(thm)],[implies_3]),
[] ).
fof(hilbert_implies_3,plain,
~ implies_3,
file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),
[] ).
cnf(164100616,plain,
~ implies_3,
inference(rewrite,[status(thm)],[hilbert_implies_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[172499984,163221096,164100616]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cn1,plain,(((~cn1|is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))))&(cn1|~is_a_theorem(implies(implies(p(A,B,C),q(A,B,C)),implies(implies(q(A,B,C),r(A,B,C)),implies(p(A,B,C),r(A,B,C)))))))),file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),[]).
%
% cnf(163671072,plain,(~cn1|is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn1]),[]).
%
% fof(luka_cn1,plain,(cn1),file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),[]).
%
% cnf(164035200,plain,(cn1),inference(rewrite,[status(thm)],[luka_cn1]),[]).
%
% cnf(172499984,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(resolution,[status(thm)],[163671072,164035200]),[]).
%
% fof(implies_3,plain,(((~implies_3|is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))))&(implies_3|~is_a_theorem(implies(implies(x(A,B,C),y(A,B,C)),implies(implies(y(A,B,C),z(A,B,C)),implies(x(A,B,C),z(A,B,C)))))))),file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),[]).
%
% cnf(163221096,plain,(implies_3|~is_a_theorem(implies(implies(x(A,B,C),y(A,B,C)),implies(implies(y(A,B,C),z(A,B,C)),implies(x(A,B,C),z(A,B,C)))))),inference(rewrite,[status(thm)],[implies_3]),[]).
%
% fof(hilbert_implies_3,plain,(~implies_3),file('/tmp/SystemOnTPTP5859/LCL465+1.p',unknown),[]).
%
% cnf(164100616,plain,(~implies_3),inference(rewrite,[status(thm)],[hilbert_implies_3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[172499984,163221096,164100616]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------