TSTP Solution File: LCL455+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL455+1 : TPTP v3.4.2. Released v3.3.0.
% 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 13:50:48 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 : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 0 con; 2-2 aty)
% Number of variables : 10 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(or_2,plain,
! [B,A] :
( ( ~ or_2
| is_a_theorem(implies(B,or(A,B))) )
& ( or_2
| ~ is_a_theorem(implies(y(A,B),or(x(A,B),y(A,B)))) ) ),
file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),
[] ).
cnf(159048904,plain,
( ~ or_2
| is_a_theorem(implies(B,or(A,B))) ),
inference(rewrite,[status(thm)],[or_2]),
[] ).
fof(hilbert_or_2,plain,
or_2,
file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),
[] ).
cnf(159771760,plain,
or_2,
inference(rewrite,[status(thm)],[hilbert_or_2]),
[] ).
cnf(168347352,plain,
is_a_theorem(implies(B,or(A,B))),
inference(resolution,[status(thm)],[159048904,159771760]),
[] ).
fof(r2,plain,
! [B,A] :
( ( ~ r2
| is_a_theorem(implies(B,or(A,B))) )
& ( r2
| ~ is_a_theorem(implies(q(A,B),or(p(A,B),q(A,B)))) ) ),
file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),
[] ).
cnf(159417344,plain,
( r2
| ~ is_a_theorem(implies(q(A,B),or(p(A,B),q(A,B)))) ),
inference(rewrite,[status(thm)],[r2]),
[] ).
fof(principia_r2,plain,
~ r2,
file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),
[] ).
cnf(159870440,plain,
~ r2,
inference(rewrite,[status(thm)],[principia_r2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168347352,159417344,159870440]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(or_2,plain,(((~or_2|is_a_theorem(implies(B,or(A,B))))&(or_2|~is_a_theorem(implies(y(A,B),or(x(A,B),y(A,B))))))),file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),[]).
%
% cnf(159048904,plain,(~or_2|is_a_theorem(implies(B,or(A,B)))),inference(rewrite,[status(thm)],[or_2]),[]).
%
% fof(hilbert_or_2,plain,(or_2),file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),[]).
%
% cnf(159771760,plain,(or_2),inference(rewrite,[status(thm)],[hilbert_or_2]),[]).
%
% cnf(168347352,plain,(is_a_theorem(implies(B,or(A,B)))),inference(resolution,[status(thm)],[159048904,159771760]),[]).
%
% fof(r2,plain,(((~r2|is_a_theorem(implies(B,or(A,B))))&(r2|~is_a_theorem(implies(q(A,B),or(p(A,B),q(A,B))))))),file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),[]).
%
% cnf(159417344,plain,(r2|~is_a_theorem(implies(q(A,B),or(p(A,B),q(A,B))))),inference(rewrite,[status(thm)],[r2]),[]).
%
% fof(principia_r2,plain,(~r2),file('/tmp/SystemOnTPTP5743/LCL455+1.p',unknown),[]).
%
% cnf(159870440,plain,(~r2),inference(rewrite,[status(thm)],[principia_r2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168347352,159417344,159870440]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------