TSTP Solution File: LCL203-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL203-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 13:46:04 EDT 2009
% Result : Unsatisfiable 22.2s
% Output : Refutation 22.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 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 : 58 ( 12 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(not(or(p,q))),or(not(p),not(q)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),
[] ).
cnf(168300344,plain,
~ theorem(or(not(not(or(p,q))),or(not(p),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/LCL203-1.tptp',unknown),
[] ).
cnf(168280184,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/LCL203-1.tptp',unknown),
[] ).
cnf(168248448,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(176528760,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[168280184,168248448]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),
[] ).
cnf(168236552,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(176422328,plain,
( theorem(or(B,A))
| ~ theorem(A) ),
inference(resolution,[status(thm)],[168280184,168236552]),
[] ).
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/LCL203-1.tptp',unknown),
[] ).
cnf(168240392,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(176478600,plain,
( theorem(or(B,A))
| ~ theorem(or(A,B)) ),
inference(resolution,[status(thm)],[168280184,168240392]),
[] ).
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/LCL203-1.tptp',unknown),
[] ).
cnf(168295872,plain,
( theorem(or(not(A),B))
| ~ axiom(or(not(A),C))
| ~ theorem(or(not(C),B)) ),
inference(rewrite,[status(thm)],[rule_3]),
[] ).
cnf(187809312,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[168295872,168236552]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),
[] ).
cnf(168262912,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
cnf(176387960,plain,
theorem(or(not(A),or(B,A))),
inference(resolution,[status(thm)],[168262912,168236552]),
[] ).
cnf(176465880,plain,
( theorem(A)
| ~ axiom(or(not(or(not(B),or(C,B))),A)) ),
inference(resolution,[status(thm)],[168280184,176387960]),
[] ).
cnf(185134040,plain,
theorem(or(B,or(not(A),A))),
inference(resolution,[status(thm)],[176465880,168248448]),
[] ).
fof(axiom_1_2,plain,
! [A] : axiom(or(not(or(A,A)),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),
[] ).
cnf(168232384,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(176087552,plain,
( theorem(A)
| ~ theorem(or(A,A)) ),
inference(resolution,[status(thm)],[168280184,168232384]),
[] ).
cnf(185250784,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[185134040,176087552]),
[] ).
cnf(185537080,plain,
theorem(or(A,not(A))),
inference(resolution,[status(thm)],[185250784,176478600]),
[] ).
cnf(188062992,plain,
theorem(or(not(A),not(not(or(B,A))))),
inference(resolution,[status(thm)],[187809312,185537080]),
[] ).
cnf(195016864,plain,
theorem(or(not(not(or(B,A))),not(A))),
inference(resolution,[status(thm)],[176478600,188062992]),
[] ).
cnf(197245928,plain,
theorem(or(A,or(not(not(or(C,B))),not(B)))),
inference(resolution,[status(thm)],[176422328,195016864]),
[] ).
cnf(231772072,plain,
theorem(or(not(not(or(C,B))),or(A,not(B)))),
inference(resolution,[status(thm)],[176528760,197245928]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[168300344,231772072]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 22 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(not(or(p,q))),or(not(p),not(q))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),[]).
%
% cnf(168300344,plain,(~theorem(or(not(not(or(p,q))),or(not(p),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/LCL203-1.tptp',unknown),[]).
%
% cnf(168280184,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/LCL203-1.tptp',unknown),[]).
%
% cnf(168248448,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(176528760,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[168280184,168248448]),[]).
%
% fof(axiom_1_3,plain,(axiom(or(not(A),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),[]).
%
% cnf(168236552,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(176422328,plain,(theorem(or(B,A))|~theorem(A)),inference(resolution,[status(thm)],[168280184,168236552]),[]).
%
% fof(axiom_1_4,plain,(axiom(or(not(or(A,B)),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),[]).
%
% cnf(168240392,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(176478600,plain,(theorem(or(B,A))|~theorem(or(A,B))),inference(resolution,[status(thm)],[168280184,168240392]),[]).
%
% 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/LCL203-1.tptp',unknown),[]).
%
% cnf(168295872,plain,(theorem(or(not(A),B))|~axiom(or(not(A),C))|~theorem(or(not(C),B))),inference(rewrite,[status(thm)],[rule_3]),[]).
%
% cnf(187809312,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[168295872,168236552]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),[]).
%
% cnf(168262912,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% cnf(176387960,plain,(theorem(or(not(A),or(B,A)))),inference(resolution,[status(thm)],[168262912,168236552]),[]).
%
% cnf(176465880,plain,(theorem(A)|~axiom(or(not(or(not(B),or(C,B))),A))),inference(resolution,[status(thm)],[168280184,176387960]),[]).
%
% cnf(185134040,plain,(theorem(or(B,or(not(A),A)))),inference(resolution,[status(thm)],[176465880,168248448]),[]).
%
% fof(axiom_1_2,plain,(axiom(or(not(or(A,A)),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL203-1.tptp',unknown),[]).
%
% cnf(168232384,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(176087552,plain,(theorem(A)|~theorem(or(A,A))),inference(resolution,[status(thm)],[168280184,168232384]),[]).
%
% cnf(185250784,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[185134040,176087552]),[]).
%
% cnf(185537080,plain,(theorem(or(A,not(A)))),inference(resolution,[status(thm)],[185250784,176478600]),[]).
%
% cnf(188062992,plain,(theorem(or(not(A),not(not(or(B,A)))))),inference(resolution,[status(thm)],[187809312,185537080]),[]).
%
% cnf(195016864,plain,(theorem(or(not(not(or(B,A))),not(A)))),inference(resolution,[status(thm)],[176478600,188062992]),[]).
%
% cnf(197245928,plain,(theorem(or(A,or(not(not(or(C,B))),not(B))))),inference(resolution,[status(thm)],[176422328,195016864]),[]).
%
% cnf(231772072,plain,(theorem(or(not(not(or(C,B))),or(A,not(B))))),inference(resolution,[status(thm)],[176528760,197245928]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[168300344,231772072]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------