TSTP Solution File: LCL197-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL197-1 : 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 13:45:47 EDT 2009
% Result : Unsatisfiable 11.3s
% Output : Refutation 11.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 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 : 37 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(or(q,or(p,q))),or(p,q))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),
[] ).
cnf(173760264,plain,
~ theorem(or(not(or(q,or(p,q))),or(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/LCL197-1.tptp',unknown),
[] ).
cnf(173755792,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_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/LCL197-1.tptp',unknown),
[] ).
cnf(173704280,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(194838360,plain,
( theorem(or(not(or(B,or(C,D))),A))
| ~ theorem(or(not(or(C,or(B,D))),A)) ),
inference(resolution,[status(thm)],[173755792,173704280]),
[] ).
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),
[] ).
cnf(173740104,plain,
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
inference(rewrite,[status(thm)],[rule_2]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),
[] ).
cnf(173722832,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/LCL197-1.tptp',unknown),
[] ).
cnf(173692312,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(181523424,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[173722832,173692312]),
[] ).
cnf(181667360,plain,
( theorem(A)
| ~ axiom(or(not(or(not(or(B,B)),B)),A)) ),
inference(resolution,[status(thm)],[173740104,181523424]),
[] ).
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/LCL197-1.tptp',unknown),
[] ).
cnf(173712472,plain,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(rewrite,[status(thm)],[axiom_1_6]),
[] ).
cnf(186926192,plain,
theorem(or(not(or(B,or(A,A))),or(B,A))),
inference(resolution,[status(thm)],[181667360,173712472]),
[] ).
cnf(206661952,plain,
theorem(or(not(or(A,or(B,A))),or(B,A))),
inference(resolution,[status(thm)],[194838360,186926192]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[173760264,206661952]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 11 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(or(q,or(p,q))),or(p,q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),[]).
%
% cnf(173760264,plain,(~theorem(or(not(or(q,or(p,q))),or(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/LCL197-1.tptp',unknown),[]).
%
% cnf(173755792,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_5,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),[]).
%
% cnf(173704280,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(194838360,plain,(theorem(or(not(or(B,or(C,D))),A))|~theorem(or(not(or(C,or(B,D))),A))),inference(resolution,[status(thm)],[173755792,173704280]),[]).
%
% fof(rule_2,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),[]).
%
% cnf(173740104,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),inference(rewrite,[status(thm)],[rule_2]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL197-1.tptp',unknown),[]).
%
% cnf(173722832,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/LCL197-1.tptp',unknown),[]).
%
% cnf(173692312,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(181523424,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[173722832,173692312]),[]).
%
% cnf(181667360,plain,(theorem(A)|~axiom(or(not(or(not(or(B,B)),B)),A))),inference(resolution,[status(thm)],[173740104,181523424]),[]).
%
% 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/LCL197-1.tptp',unknown),[]).
%
% cnf(173712472,plain,(axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))),inference(rewrite,[status(thm)],[axiom_1_6]),[]).
%
% cnf(186926192,plain,(theorem(or(not(or(B,or(A,A))),or(B,A)))),inference(resolution,[status(thm)],[181667360,173712472]),[]).
%
% cnf(206661952,plain,(theorem(or(not(or(A,or(B,A))),or(B,A)))),inference(resolution,[status(thm)],[194838360,186926192]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173760264,206661952]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------