TSTP Solution File: LCL207-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL207-1 : 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 13:46:14 EDT 2009
% Result : Unsatisfiable 17.7s
% Output : Refutation 17.7s
% 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 : 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 : 44 ( 8 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(q),p))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL207-1.tptp',unknown),
[] ).
cnf(171077464,plain,
~ theorem(or(not(not(or(not(p),q))),or(not(q),p))),
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/LCL207-1.tptp',unknown),
[] ).
cnf(171057304,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/LCL207-1.tptp',unknown),
[] ).
cnf(171025568,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(179073056,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[171057304,171025568]),
[] ).
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/LCL207-1.tptp',unknown),
[] ).
cnf(171072992,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/LCL207-1.tptp',unknown),
[] ).
cnf(171013680,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(178917224,plain,
( theorem(or(not(A),B))
| ~ theorem(or(not(or(C,A)),B)) ),
inference(resolution,[status(thm)],[171072992,171013680]),
[] ).
fof(rule_1,plain,
! [A] :
( theorem(A)
| ~ axiom(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL207-1.tptp',unknown),
[] ).
cnf(171040032,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
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/LCL207-1.tptp',unknown),
[] ).
cnf(171021592,plain,
axiom(or(not(or(A,B)),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(178929968,plain,
theorem(or(not(or(A,B)),or(B,A))),
inference(resolution,[status(thm)],[171040032,171021592]),
[] ).
cnf(190976168,plain,
theorem(or(not(A),or(A,B))),
inference(resolution,[status(thm)],[178917224,178929968]),
[] ).
cnf(191472920,plain,
theorem(or(A,or(not(A),B))),
inference(resolution,[status(thm)],[179073056,190976168]),
[] ).
cnf(191713608,plain,
theorem(or(not(A),or(not(not(or(B,A))),C))),
inference(resolution,[status(thm)],[178917224,191472920]),
[] ).
cnf(223435912,plain,
theorem(or(not(not(or(C,B))),or(not(B),A))),
inference(resolution,[status(thm)],[179073056,191713608]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[171077464,223435912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 18 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~theorem(or(not(not(or(not(p),q))),or(not(q),p)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL207-1.tptp',unknown),[]).
%
% cnf(171077464,plain,(~theorem(or(not(not(or(not(p),q))),or(not(q),p)))),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/LCL207-1.tptp',unknown),[]).
%
% cnf(171057304,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/LCL207-1.tptp',unknown),[]).
%
% cnf(171025568,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(179073056,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[171057304,171025568]),[]).
%
% 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/LCL207-1.tptp',unknown),[]).
%
% cnf(171072992,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/LCL207-1.tptp',unknown),[]).
%
% cnf(171013680,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(178917224,plain,(theorem(or(not(A),B))|~theorem(or(not(or(C,A)),B))),inference(resolution,[status(thm)],[171072992,171013680]),[]).
%
% fof(rule_1,plain,(theorem(A)|~axiom(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL207-1.tptp',unknown),[]).
%
% cnf(171040032,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% fof(axiom_1_4,plain,(axiom(or(not(or(A,B)),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL207-1.tptp',unknown),[]).
%
% cnf(171021592,plain,(axiom(or(not(or(A,B)),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(178929968,plain,(theorem(or(not(or(A,B)),or(B,A)))),inference(resolution,[status(thm)],[171040032,171021592]),[]).
%
% cnf(190976168,plain,(theorem(or(not(A),or(A,B)))),inference(resolution,[status(thm)],[178917224,178929968]),[]).
%
% cnf(191472920,plain,(theorem(or(A,or(not(A),B)))),inference(resolution,[status(thm)],[179073056,190976168]),[]).
%
% cnf(191713608,plain,(theorem(or(not(A),or(not(not(or(B,A))),C)))),inference(resolution,[status(thm)],[178917224,191472920]),[]).
%
% cnf(223435912,plain,(theorem(or(not(not(or(C,B))),or(not(B),A)))),inference(resolution,[status(thm)],[179073056,191713608]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[171077464,223435912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------