TSTP Solution File: LCL190-3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL190-3 : TPTP v3.4.2. Released v2.3.0.
% 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 13:45:33 EDT 2009
% Result : Unsatisfiable 18.2s
% Output : Refutation 18.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 5 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ theorem(implies(B,A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173128952,plain,
( theorem(A)
| ~ theorem(implies(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/LCL190-3.tptp',unknown),
[] ).
cnf(173110072,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
cnf(181324008,plain,
( theorem(A)
| ~ theorem(B)
| ~ axiom(implies(B,A)) ),
inference(resolution,[status(thm)],[173128952,173110072]),
[] ).
cnf(185093824,plain,
( theorem(A)
| ~ axiom(implies(B,A))
| ~ axiom(B) ),
inference(resolution,[status(thm)],[181324008,173110072]),
[] ).
cnf(204735520,plain,
( theorem(A)
| ~ theorem(B)
| ~ axiom(implies(C,implies(B,A)))
| ~ axiom(C) ),
inference(resolution,[status(thm)],[173128952,185093824]),
[] ).
fof(axiom_1_6,plain,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173098864,plain,
axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
inference(rewrite,[status(thm)],[axiom_1_6]),
[] ).
cnf(205342536,plain,
( theorem(or(C,B))
| ~ theorem(or(C,A))
| ~ axiom(implies(A,B)) ),
inference(resolution,[status(thm)],[204735520,173098864]),
[] ).
cnf(205461704,plain,
( theorem(or(A,implies(or(D,B),or(D,C))))
| ~ theorem(or(A,implies(B,C))) ),
inference(resolution,[status(thm)],[205342536,173098864]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(implies(A,or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173083016,plain,
axiom(implies(A,or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(181091440,plain,
theorem(implies(A,or(B,A))),
inference(resolution,[status(thm)],[173110072,173083016]),
[] ).
cnf(181342176,plain,
( theorem(or(B,A))
| ~ theorem(A) ),
inference(resolution,[status(thm)],[173128952,181091440]),
[] ).
fof(axiom_1_4,plain,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173086744,plain,
axiom(implies(or(A,B),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_4]),
[] ).
cnf(181099056,plain,
theorem(implies(or(A,B),or(B,A))),
inference(resolution,[status(thm)],[173110072,173086744]),
[] ).
cnf(181801760,plain,
theorem(or(A,implies(or(B,C),or(C,B)))),
inference(resolution,[status(thm)],[181342176,181099056]),
[] ).
cnf(206803200,plain,
theorem(or(A,implies(or(B,or(C,D)),or(B,or(D,C))))),
inference(resolution,[status(thm)],[205461704,181801760]),
[] ).
fof(axiom_1_2,plain,
! [A] : axiom(implies(or(A,A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173078760,plain,
axiom(implies(or(A,A),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(180931672,plain,
theorem(implies(or(A,A),A)),
inference(resolution,[status(thm)],[173110072,173078760]),
[] ).
cnf(180963296,plain,
( theorem(A)
| ~ theorem(implies(implies(or(B,B),B),A)) ),
inference(resolution,[status(thm)],[173128952,180931672]),
[] ).
fof(implies_definition,plain,
! [A,B] : $equal(or(not(A),B),implies(A,B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173103552,plain,
$equal(or(not(A),B),implies(A,B)),
inference(rewrite,[status(thm)],[implies_definition]),
[] ).
cnf(183129320,plain,
( theorem(A)
| ~ theorem(or(not(implies(or(B,B),B)),A)) ),
inference(paramodulation,[status(thm)],[180963296,173103552,theory(equality)]),
[] ).
fof(prove_this,plain,
~ theorem(implies(or(p,or(q,r)),or(p,or(r,q)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),
[] ).
cnf(173137896,plain,
~ theorem(implies(or(p,or(q,r)),or(p,or(r,q)))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[206803200,183129320,173137896]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 17 seconds
% START OF PROOF SEQUENCE
% fof(rule_2,plain,(theorem(A)|~theorem(implies(B,A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173128952,plain,(theorem(A)|~theorem(implies(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/LCL190-3.tptp',unknown),[]).
%
% cnf(173110072,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% cnf(181324008,plain,(theorem(A)|~theorem(B)|~axiom(implies(B,A))),inference(resolution,[status(thm)],[173128952,173110072]),[]).
%
% cnf(185093824,plain,(theorem(A)|~axiom(implies(B,A))|~axiom(B)),inference(resolution,[status(thm)],[181324008,173110072]),[]).
%
% cnf(204735520,plain,(theorem(A)|~theorem(B)|~axiom(implies(C,implies(B,A)))|~axiom(C)),inference(resolution,[status(thm)],[173128952,185093824]),[]).
%
% fof(axiom_1_6,plain,(axiom(implies(implies(A,B),implies(or(C,A),or(C,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173098864,plain,(axiom(implies(implies(A,B),implies(or(C,A),or(C,B))))),inference(rewrite,[status(thm)],[axiom_1_6]),[]).
%
% cnf(205342536,plain,(theorem(or(C,B))|~theorem(or(C,A))|~axiom(implies(A,B))),inference(resolution,[status(thm)],[204735520,173098864]),[]).
%
% cnf(205461704,plain,(theorem(or(A,implies(or(D,B),or(D,C))))|~theorem(or(A,implies(B,C)))),inference(resolution,[status(thm)],[205342536,173098864]),[]).
%
% fof(axiom_1_3,plain,(axiom(implies(A,or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173083016,plain,(axiom(implies(A,or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(181091440,plain,(theorem(implies(A,or(B,A)))),inference(resolution,[status(thm)],[173110072,173083016]),[]).
%
% cnf(181342176,plain,(theorem(or(B,A))|~theorem(A)),inference(resolution,[status(thm)],[173128952,181091440]),[]).
%
% fof(axiom_1_4,plain,(axiom(implies(or(A,B),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173086744,plain,(axiom(implies(or(A,B),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_4]),[]).
%
% cnf(181099056,plain,(theorem(implies(or(A,B),or(B,A)))),inference(resolution,[status(thm)],[173110072,173086744]),[]).
%
% cnf(181801760,plain,(theorem(or(A,implies(or(B,C),or(C,B))))),inference(resolution,[status(thm)],[181342176,181099056]),[]).
%
% cnf(206803200,plain,(theorem(or(A,implies(or(B,or(C,D)),or(B,or(D,C)))))),inference(resolution,[status(thm)],[205461704,181801760]),[]).
%
% fof(axiom_1_2,plain,(axiom(implies(or(A,A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173078760,plain,(axiom(implies(or(A,A),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(180931672,plain,(theorem(implies(or(A,A),A))),inference(resolution,[status(thm)],[173110072,173078760]),[]).
%
% cnf(180963296,plain,(theorem(A)|~theorem(implies(implies(or(B,B),B),A))),inference(resolution,[status(thm)],[173128952,180931672]),[]).
%
% fof(implies_definition,plain,($equal(or(not(A),B),implies(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173103552,plain,($equal(or(not(A),B),implies(A,B))),inference(rewrite,[status(thm)],[implies_definition]),[]).
%
% cnf(183129320,plain,(theorem(A)|~theorem(or(not(implies(or(B,B),B)),A))),inference(paramodulation,[status(thm)],[180963296,173103552,theory(equality)]),[]).
%
% fof(prove_this,plain,(~theorem(implies(or(p,or(q,r)),or(p,or(r,q))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL190-3.tptp',unknown),[]).
%
% cnf(173137896,plain,(~theorem(implies(or(p,or(q,r)),or(p,or(r,q))))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[206803200,183129320,173137896]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------