TSTP Solution File: LCL199-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL199-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:45:53 EDT 2009
% Result : Unsatisfiable 3.4s
% Output : Refutation 3.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 18 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 7 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(not(or(p,q))),not(p))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),
[] ).
cnf(164033800,plain,
~ theorem(or(not(not(or(p,q))),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/LCL199-1.tptp',unknown),
[] ).
cnf(164013680,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/LCL199-1.tptp',unknown),
[] ).
cnf(163973896,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(172072504,plain,
( theorem(or(B,A))
| ~ theorem(or(A,B)) ),
inference(resolution,[status(thm)],[164013680,163973896]),
[] ).
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/LCL199-1.tptp',unknown),
[] ).
cnf(164029368,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/LCL199-1.tptp',unknown),
[] ).
cnf(163970056,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(182061088,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[164029368,163970056]),
[] ).
cnf(182125656,plain,
( theorem(or(not(or(B,C)),A))
| ~ theorem(or(not(or(C,B)),A)) ),
inference(resolution,[status(thm)],[164029368,163973896]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),
[] ).
cnf(163992320,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
cnf(171992680,plain,
theorem(or(not(A),or(B,A))),
inference(resolution,[status(thm)],[163992320,163970056]),
[] ).
cnf(172063864,plain,
( theorem(A)
| ~ axiom(or(not(or(not(B),or(C,B))),A)) ),
inference(resolution,[status(thm)],[164013680,171992680]),
[] ).
fof(axiom_1_5,plain,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),
[] ).
cnf(163977856,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(177420152,plain,
theorem(or(B,or(not(A),A))),
inference(resolution,[status(thm)],[172063864,163977856]),
[] ).
fof(axiom_1_2,plain,
! [A] : axiom(or(not(or(A,A)),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),
[] ).
cnf(163965888,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(171820976,plain,
( theorem(A)
| ~ theorem(or(A,A)) ),
inference(resolution,[status(thm)],[164013680,163965888]),
[] ).
cnf(177500952,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[177420152,171820976]),
[] ).
cnf(177722040,plain,
theorem(or(A,not(A))),
inference(resolution,[status(thm)],[177500952,172072504]),
[] ).
cnf(182211168,plain,
theorem(or(not(or(A,B)),not(not(or(B,A))))),
inference(resolution,[status(thm)],[182125656,177722040]),
[] ).
cnf(205157768,plain,
theorem(or(not(A),not(not(or(A,B))))),
inference(resolution,[status(thm)],[182061088,182211168]),
[] ).
cnf(205263352,plain,
theorem(or(not(not(or(A,B))),not(A))),
inference(resolution,[status(thm)],[172072504,205157768]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164033800,205263352]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(not(or(p,q))),not(p)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),[]).
%
% cnf(164033800,plain,(~theorem(or(not(not(or(p,q))),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/LCL199-1.tptp',unknown),[]).
%
% cnf(164013680,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/LCL199-1.tptp',unknown),[]).
%
% cnf(163973896,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(172072504,plain,(theorem(or(B,A))|~theorem(or(A,B))),inference(resolution,[status(thm)],[164013680,163973896]),[]).
%
% 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/LCL199-1.tptp',unknown),[]).
%
% cnf(164029368,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/LCL199-1.tptp',unknown),[]).
%
% cnf(163970056,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(182061088,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[164029368,163970056]),[]).
%
% cnf(182125656,plain,(theorem(or(not(or(B,C)),A))|~theorem(or(not(or(C,B)),A))),inference(resolution,[status(thm)],[164029368,163973896]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),[]).
%
% cnf(163992320,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% cnf(171992680,plain,(theorem(or(not(A),or(B,A)))),inference(resolution,[status(thm)],[163992320,163970056]),[]).
%
% cnf(172063864,plain,(theorem(A)|~axiom(or(not(or(not(B),or(C,B))),A))),inference(resolution,[status(thm)],[164013680,171992680]),[]).
%
% fof(axiom_1_5,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),[]).
%
% cnf(163977856,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(177420152,plain,(theorem(or(B,or(not(A),A)))),inference(resolution,[status(thm)],[172063864,163977856]),[]).
%
% fof(axiom_1_2,plain,(axiom(or(not(or(A,A)),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL199-1.tptp',unknown),[]).
%
% cnf(163965888,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(171820976,plain,(theorem(A)|~theorem(or(A,A))),inference(resolution,[status(thm)],[164013680,163965888]),[]).
%
% cnf(177500952,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[177420152,171820976]),[]).
%
% cnf(177722040,plain,(theorem(or(A,not(A)))),inference(resolution,[status(thm)],[177500952,172072504]),[]).
%
% cnf(182211168,plain,(theorem(or(not(or(A,B)),not(not(or(B,A)))))),inference(resolution,[status(thm)],[182125656,177722040]),[]).
%
% cnf(205157768,plain,(theorem(or(not(A),not(not(or(A,B)))))),inference(resolution,[status(thm)],[182061088,182211168]),[]).
%
% cnf(205263352,plain,(theorem(or(not(not(or(A,B))),not(A)))),inference(resolution,[status(thm)],[172072504,205157768]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164033800,205263352]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------