TSTP Solution File: LCL178-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL178-1 : TPTP v3.4.2. Released v1.1.0.
% 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 13:44:57 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(p),not(not(p)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167657560,plain,
~ theorem(or(not(p),not(not(p)))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167633464,plain,
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
inference(rewrite,[status(thm)],[rule_2]),
[] ).
fof(axiom_1_4,plain,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167597896,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(176149184,plain,
( theorem(or(B,A))
| ~ theorem(or(A,B)) ),
inference(resolution,[status(thm)],[167633464,167597896]),
[] ).
fof(rule_3,plain,
! [A,B,C] :
( theorem(or(not(A),B))
| ~ axiom(or(not(A),C))
| ~ theorem(or(not(C),B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167653208,plain,
( theorem(or(not(A),B))
| ~ axiom(or(not(A),C))
| ~ theorem(or(not(C),B)) ),
inference(rewrite,[status(thm)],[rule_3]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167594056,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(175728064,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[167653208,167594056]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167616224,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
fof(axiom_1_2,plain,
! [A] : axiom(or(not(or(A,A)),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),
[] ).
cnf(167589920,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(175415792,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[167616224,167589920]),
[] ).
cnf(175785880,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[175728064,175415792]),
[] ).
cnf(176174424,plain,
theorem(or(A,not(A))),
inference(resolution,[status(thm)],[176149184,175785880]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167657560,176174424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(p),not(not(p))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167657560,plain,(~theorem(or(not(p),not(not(p))))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_2,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167633464,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),inference(rewrite,[status(thm)],[rule_2]),[]).
%
% fof(axiom_1_4,plain,(axiom(or(not(or(A,B)),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167597896,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(176149184,plain,(theorem(or(B,A))|~theorem(or(A,B))),inference(resolution,[status(thm)],[167633464,167597896]),[]).
%
% fof(rule_3,plain,(theorem(or(not(A),B))|~axiom(or(not(A),C))|~theorem(or(not(C),B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167653208,plain,(theorem(or(not(A),B))|~axiom(or(not(A),C))|~theorem(or(not(C),B))),inference(rewrite,[status(thm)],[rule_3]),[]).
%
% fof(axiom_1_3,plain,(axiom(or(not(A),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167594056,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(175728064,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[167653208,167594056]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167616224,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% fof(axiom_1_2,plain,(axiom(or(not(or(A,A)),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL178-1.tptp',unknown),[]).
%
% cnf(167589920,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(175415792,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[167616224,167589920]),[]).
%
% cnf(175785880,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[175728064,175415792]),[]).
%
% cnf(176174424,plain,(theorem(or(A,not(A)))),inference(resolution,[status(thm)],[176149184,175785880]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167657560,176174424]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------