TSTP Solution File: LCL200-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL200-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:45:56 EDT 2009
% Result : Unsatisfiable 1.3s
% Output : Refutation 1.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 34 ( 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 : 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 : 34 ( 4 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(not(or(p,q))),not(q))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL200-1.tptp',unknown),
[] ).
cnf(172750928,plain,
~ theorem(or(not(not(or(p,q))),not(q))),
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/LCL200-1.tptp',unknown),
[] ).
cnf(172730808,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/LCL200-1.tptp',unknown),
[] ).
cnf(172691024,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(180695760,plain,
( theorem(or(B,A))
| ~ theorem(or(A,B)) ),
inference(resolution,[status(thm)],[172730808,172691024]),
[] ).
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/LCL200-1.tptp',unknown),
[] ).
cnf(172746496,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/LCL200-1.tptp',unknown),
[] ).
cnf(172687184,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(180590808,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[172746496,172687184]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL200-1.tptp',unknown),
[] ).
cnf(172713536,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/LCL200-1.tptp',unknown),
[] ).
cnf(172683016,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(180514152,plain,
theorem(or(not(or(A,A)),A)),
inference(resolution,[status(thm)],[172713536,172683016]),
[] ).
cnf(180637544,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[180590808,180514152]),
[] ).
cnf(186876592,plain,
theorem(or(A,not(A))),
inference(resolution,[status(thm)],[180637544,180695760]),
[] ).
cnf(193274544,plain,
theorem(or(not(A),not(not(or(B,A))))),
inference(resolution,[status(thm)],[180590808,186876592]),
[] ).
cnf(197391248,plain,
theorem(or(not(not(or(B,A))),not(A))),
inference(resolution,[status(thm)],[180695760,193274544]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[172750928,197391248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(not(or(p,q))),not(q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL200-1.tptp',unknown),[]).
%
% cnf(172750928,plain,(~theorem(or(not(not(or(p,q))),not(q)))),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/LCL200-1.tptp',unknown),[]).
%
% cnf(172730808,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/LCL200-1.tptp',unknown),[]).
%
% cnf(172691024,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(180695760,plain,(theorem(or(B,A))|~theorem(or(A,B))),inference(resolution,[status(thm)],[172730808,172691024]),[]).
%
% 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/LCL200-1.tptp',unknown),[]).
%
% cnf(172746496,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/LCL200-1.tptp',unknown),[]).
%
% cnf(172687184,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(180590808,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[172746496,172687184]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL200-1.tptp',unknown),[]).
%
% cnf(172713536,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/LCL200-1.tptp',unknown),[]).
%
% cnf(172683016,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(180514152,plain,(theorem(or(not(or(A,A)),A))),inference(resolution,[status(thm)],[172713536,172683016]),[]).
%
% cnf(180637544,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[180590808,180514152]),[]).
%
% cnf(186876592,plain,(theorem(or(A,not(A)))),inference(resolution,[status(thm)],[180637544,180695760]),[]).
%
% cnf(193274544,plain,(theorem(or(not(A),not(not(or(B,A)))))),inference(resolution,[status(thm)],[180590808,186876592]),[]).
%
% cnf(197391248,plain,(theorem(or(not(not(or(B,A))),not(A)))),inference(resolution,[status(thm)],[180695760,193274544]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172750928,197391248]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------