TSTP Solution File: LCL182-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL182-1 : 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 13:45:08 EDT 2009
% Result : Unsatisfiable 342.5s
% Output : Refutation 342.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 19 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 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 : 60 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(or(not(p),q)),or(not(not(q)),not(p)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),
[] ).
cnf(145588080,plain,
~ theorem(or(not(or(not(p),q)),or(not(not(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/LCL182-1.tptp',unknown),
[] ).
cnf(145567936,plain,
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
inference(rewrite,[status(thm)],[rule_2]),
[] ).
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/LCL182-1.tptp',unknown),
[] ).
cnf(145536200,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(153847384,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[145567936,145536200]),
[] ).
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/LCL182-1.tptp',unknown),
[] ).
cnf(145583624,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/LCL182-1.tptp',unknown),
[] ).
cnf(145524312,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(165105816,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[145583624,145524312]),
[] ).
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/LCL182-1.tptp',unknown),
[] ).
cnf(145532224,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(165166320,plain,
( theorem(or(not(or(B,C)),A))
| ~ theorem(or(not(or(C,B)),A)) ),
inference(resolution,[status(thm)],[145583624,145532224]),
[] ).
fof(axiom_1_6,plain,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),
[] ).
cnf(145544392,plain,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(rewrite,[status(thm)],[axiom_1_6]),
[] ).
cnf(153655832,plain,
( theorem(or(not(or(not(B),C)),A))
| ~ theorem(or(not(or(not(or(D,B)),or(D,C))),A)) ),
inference(resolution,[status(thm)],[145583624,145544392]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),
[] ).
cnf(145550664,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/LCL182-1.tptp',unknown),
[] ).
cnf(145520144,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(153351368,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[145550664,145520144]),
[] ).
cnf(153763400,plain,
( theorem(A)
| ~ axiom(or(not(or(not(or(B,B)),B)),A)) ),
inference(resolution,[status(thm)],[145567936,153351368]),
[] ).
cnf(160863632,plain,
theorem(or(not(or(B,or(A,A))),or(B,A))),
inference(resolution,[status(thm)],[153763400,145544392]),
[] ).
cnf(179221792,plain,
theorem(or(not(or(not(A),B)),or(not(or(B,A)),B))),
inference(resolution,[status(thm)],[153655832,160863632]),
[] ).
cnf(275699328,plain,
theorem(or(not(or(A,not(B))),or(not(or(A,B)),A))),
inference(resolution,[status(thm)],[165166320,179221792]),
[] ).
cnf(468605552,plain,
theorem(or(not(not(B)),or(not(or(A,B)),A))),
inference(resolution,[status(thm)],[165105816,275699328]),
[] ).
cnf(468681544,plain,
theorem(or(not(or(A,B)),or(not(not(B)),A))),
inference(resolution,[status(thm)],[153847384,468605552]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[145588080,468681544]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 342 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(or(not(p),q)),or(not(not(q)),not(p))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),[]).
%
% cnf(145588080,plain,(~theorem(or(not(or(not(p),q)),or(not(not(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/LCL182-1.tptp',unknown),[]).
%
% cnf(145567936,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),inference(rewrite,[status(thm)],[rule_2]),[]).
%
% 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/LCL182-1.tptp',unknown),[]).
%
% cnf(145536200,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(153847384,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[145567936,145536200]),[]).
%
% 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/LCL182-1.tptp',unknown),[]).
%
% cnf(145583624,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/LCL182-1.tptp',unknown),[]).
%
% cnf(145524312,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(165105816,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[145583624,145524312]),[]).
%
% fof(axiom_1_4,plain,(axiom(or(not(or(A,B)),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),[]).
%
% cnf(145532224,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(165166320,plain,(theorem(or(not(or(B,C)),A))|~theorem(or(not(or(C,B)),A))),inference(resolution,[status(thm)],[145583624,145532224]),[]).
%
% fof(axiom_1_6,plain,(axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),[]).
%
% cnf(145544392,plain,(axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))),inference(rewrite,[status(thm)],[axiom_1_6]),[]).
%
% cnf(153655832,plain,(theorem(or(not(or(not(B),C)),A))|~theorem(or(not(or(not(or(D,B)),or(D,C))),A))),inference(resolution,[status(thm)],[145583624,145544392]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL182-1.tptp',unknown),[]).
%
% cnf(145550664,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/LCL182-1.tptp',unknown),[]).
%
% cnf(145520144,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(153351368,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[145550664,145520144]),[]).
%
% cnf(153763400,plain,(theorem(A)|~axiom(or(not(or(not(or(B,B)),B)),A))),inference(resolution,[status(thm)],[145567936,153351368]),[]).
%
% cnf(160863632,plain,(theorem(or(not(or(B,or(A,A))),or(B,A)))),inference(resolution,[status(thm)],[153763400,145544392]),[]).
%
% cnf(179221792,plain,(theorem(or(not(or(not(A),B)),or(not(or(B,A)),B)))),inference(resolution,[status(thm)],[153655832,160863632]),[]).
%
% cnf(275699328,plain,(theorem(or(not(or(A,not(B))),or(not(or(A,B)),A)))),inference(resolution,[status(thm)],[165166320,179221792]),[]).
%
% cnf(468605552,plain,(theorem(or(not(not(B)),or(not(or(A,B)),A)))),inference(resolution,[status(thm)],[165105816,275699328]),[]).
%
% cnf(468681544,plain,(theorem(or(not(or(A,B)),or(not(not(B)),A)))),inference(resolution,[status(thm)],[153847384,468605552]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[145588080,468681544]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------