TSTP Solution File: LCL208-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL208-1 : 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 13:46:17 EDT 2009
% Result : Unsatisfiable 361.7s
% Output : Refutation 361.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 46 ( 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 : 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 : 62 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),
[] ).
cnf(164117464,plain,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
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/LCL208-1.tptp',unknown),
[] ).
cnf(164112992,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_4,plain,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),
[] ).
cnf(164057528,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(172026648,plain,
( theorem(or(not(or(B,C)),A))
| ~ theorem(or(not(or(C,B)),A)) ),
inference(resolution,[status(thm)],[164112992,164057528]),
[] ).
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),
[] ).
cnf(164097304,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/LCL208-1.tptp',unknown),
[] ).
cnf(164061488,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(172167432,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[164097304,164061488]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),
[] ).
cnf(164053688,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(171957344,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[164112992,164053688]),
[] ).
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/LCL208-1.tptp',unknown),
[] ).
cnf(164069680,plain,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(rewrite,[status(thm)],[axiom_1_6]),
[] ).
cnf(185713424,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)],[164112992,164069680]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),
[] ).
cnf(164080032,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/LCL208-1.tptp',unknown),
[] ).
cnf(164049520,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(171880688,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[164080032,164049520]),
[] ).
cnf(172095416,plain,
( theorem(A)
| ~ axiom(or(not(or(not(or(B,B)),B)),A)) ),
inference(resolution,[status(thm)],[164097304,171880688]),
[] ).
cnf(177339456,plain,
theorem(or(not(or(B,or(A,A))),or(B,A))),
inference(resolution,[status(thm)],[172095416,164069680]),
[] ).
cnf(198250848,plain,
theorem(or(not(or(not(A),B)),or(not(or(B,A)),B))),
inference(resolution,[status(thm)],[185713424,177339456]),
[] ).
cnf(300781240,plain,
theorem(or(not(or(A,not(B))),or(not(or(A,B)),A))),
inference(resolution,[status(thm)],[172026648,198250848]),
[] ).
cnf(539851056,plain,
theorem(or(not(not(B)),or(not(or(A,B)),A))),
inference(resolution,[status(thm)],[171957344,300781240]),
[] ).
cnf(539940480,plain,
theorem(or(not(or(A,B)),or(not(not(B)),A))),
inference(resolution,[status(thm)],[172167432,539851056]),
[] ).
cnf(541152728,plain,
theorem(or(not(or(A,B)),or(not(not(A)),B))),
inference(resolution,[status(thm)],[172026648,539940480]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164117464,541152728]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 361 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(or(p,q)),or(not(not(p)),q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),[]).
%
% cnf(164117464,plain,(~theorem(or(not(or(p,q)),or(not(not(p)),q)))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% 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/LCL208-1.tptp',unknown),[]).
%
% cnf(164112992,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_4,plain,(axiom(or(not(or(A,B)),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),[]).
%
% cnf(164057528,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(172026648,plain,(theorem(or(not(or(B,C)),A))|~theorem(or(not(or(C,B)),A))),inference(resolution,[status(thm)],[164112992,164057528]),[]).
%
% fof(rule_2,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),[]).
%
% cnf(164097304,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/LCL208-1.tptp',unknown),[]).
%
% cnf(164061488,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(172167432,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[164097304,164061488]),[]).
%
% fof(axiom_1_3,plain,(axiom(or(not(A),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),[]).
%
% cnf(164053688,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(171957344,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[164112992,164053688]),[]).
%
% 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/LCL208-1.tptp',unknown),[]).
%
% cnf(164069680,plain,(axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))),inference(rewrite,[status(thm)],[axiom_1_6]),[]).
%
% cnf(185713424,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)],[164112992,164069680]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL208-1.tptp',unknown),[]).
%
% cnf(164080032,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/LCL208-1.tptp',unknown),[]).
%
% cnf(164049520,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(171880688,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[164080032,164049520]),[]).
%
% cnf(172095416,plain,(theorem(A)|~axiom(or(not(or(not(or(B,B)),B)),A))),inference(resolution,[status(thm)],[164097304,171880688]),[]).
%
% cnf(177339456,plain,(theorem(or(not(or(B,or(A,A))),or(B,A)))),inference(resolution,[status(thm)],[172095416,164069680]),[]).
%
% cnf(198250848,plain,(theorem(or(not(or(not(A),B)),or(not(or(B,A)),B)))),inference(resolution,[status(thm)],[185713424,177339456]),[]).
%
% cnf(300781240,plain,(theorem(or(not(or(A,not(B))),or(not(or(A,B)),A)))),inference(resolution,[status(thm)],[172026648,198250848]),[]).
%
% cnf(539851056,plain,(theorem(or(not(not(B)),or(not(or(A,B)),A)))),inference(resolution,[status(thm)],[171957344,300781240]),[]).
%
% cnf(539940480,plain,(theorem(or(not(or(A,B)),or(not(not(B)),A)))),inference(resolution,[status(thm)],[172167432,539851056]),[]).
%
% cnf(541152728,plain,(theorem(or(not(or(A,B)),or(not(not(A)),B)))),inference(resolution,[status(thm)],[172026648,539940480]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164117464,541152728]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------