%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL206-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 13:46:11 EDT 2009
% Result : Unsatisfiable 23.6s
% Output : Refutation 23.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 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 : 50 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),
[] ).
cnf(143040712,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/LCL206-1.tptp',unknown),
[] ).
cnf(143005016,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(151162128,plain,
( theorem(or(B,A))
| ~ theorem(or(A,B)) ),
inference(resolution,[status(thm)],[143040712,143005016]),
[] ).
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/LCL206-1.tptp',unknown),
[] ).
cnf(143056400,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/LCL206-1.tptp',unknown),
[] ).
cnf(143001160,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(150900848,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[143056400,143001160]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),
[] ).
cnf(143023440,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/LCL206-1.tptp',unknown),
[] ).
cnf(142992920,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(150824176,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[143023440,142992920]),
[] ).
cnf(150972936,plain,
( theorem(or(not(A),B))
| ~ axiom(or(not(A),or(B,B))) ),
inference(resolution,[status(thm)],[143056400,150824176]),
[] ).
cnf(150990440,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[150972936,143001160]),
[] ).
cnf(155503272,plain,
theorem(or(A,not(A))),
inference(resolution,[status(thm)],[150990440,151162128]),
[] ).
cnf(162512896,plain,
theorem(or(not(A),not(not(or(B,A))))),
inference(resolution,[status(thm)],[150900848,155503272]),
[] ).
cnf(166736744,plain,
theorem(or(not(not(or(B,A))),not(A))),
inference(resolution,[status(thm)],[151162128,162512896]),
[] ).
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/LCL206-1.tptp',unknown),
[] ).
cnf(143008976,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(151065456,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[143040712,143008976]),
[] ).
cnf(150881560,plain,
( theorem(or(B,A))
| ~ theorem(A) ),
inference(resolution,[status(thm)],[143040712,143001160]),
[] ).
cnf(156099840,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(B,C)) ),
inference(resolution,[status(thm)],[151065456,150881560]),
[] ).
fof(prove_this,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),
[] ).
cnf(143060856,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[166736744,156099840,143060856]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 24 seconds
% START OF PROOF SEQUENCE
% fof(rule_2,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),[]).
%
% cnf(143040712,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/LCL206-1.tptp',unknown),[]).
%
% cnf(143005016,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(151162128,plain,(theorem(or(B,A))|~theorem(or(A,B))),inference(resolution,[status(thm)],[143040712,143005016]),[]).
%
% 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/LCL206-1.tptp',unknown),[]).
%
% cnf(143056400,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/LCL206-1.tptp',unknown),[]).
%
% cnf(143001160,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(150900848,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[143056400,143001160]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),[]).
%
% cnf(143023440,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/LCL206-1.tptp',unknown),[]).
%
% cnf(142992920,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(150824176,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[143023440,142992920]),[]).
%
% cnf(150972936,plain,(theorem(or(not(A),B))|~axiom(or(not(A),or(B,B)))),inference(resolution,[status(thm)],[143056400,150824176]),[]).
%
% cnf(150990440,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[150972936,143001160]),[]).
%
% cnf(155503272,plain,(theorem(or(A,not(A)))),inference(resolution,[status(thm)],[150990440,151162128]),[]).
%
% cnf(162512896,plain,(theorem(or(not(A),not(not(or(B,A)))))),inference(resolution,[status(thm)],[150900848,155503272]),[]).
%
% cnf(166736744,plain,(theorem(or(not(not(or(B,A))),not(A)))),inference(resolution,[status(thm)],[151162128,162512896]),[]).
%
% 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/LCL206-1.tptp',unknown),[]).
%
% cnf(143008976,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(151065456,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[143040712,143008976]),[]).
%
% cnf(150881560,plain,(theorem(or(B,A))|~theorem(A)),inference(resolution,[status(thm)],[143040712,143001160]),[]).
%
% cnf(156099840,plain,(theorem(or(B,or(A,C)))|~theorem(or(B,C))),inference(resolution,[status(thm)],[151065456,150881560]),[]).
%
% fof(prove_this,plain,(~theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL206-1.tptp',unknown),[]).
%
% cnf(143060856,plain,(~theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q))))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166736744,156099840,143060856]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------