TSTP Solution File: LCL188-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL188-1 : 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 13:45:22 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 30 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_2,plain,
! [A,B] :
( theorem(A)
| ~ axiom(or(not(B),A))
| ~ theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),
[] ).
cnf(142461344,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/LCL188-1.tptp',unknown),
[] ).
cnf(142439984,plain,
( theorem(A)
| ~ axiom(A) ),
inference(rewrite,[status(thm)],[rule_1]),
[] ).
fof(axiom_1_3,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),
[] ).
cnf(142417720,plain,
axiom(or(not(A),or(B,A))),
inference(rewrite,[status(thm)],[axiom_1_3]),
[] ).
cnf(150300240,plain,
theorem(or(not(A),or(B,A))),
inference(resolution,[status(thm)],[142439984,142417720]),
[] ).
cnf(150412824,plain,
( theorem(A)
| ~ axiom(or(not(or(not(B),or(C,B))),A)) ),
inference(resolution,[status(thm)],[142461344,150300240]),
[] ).
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/LCL188-1.tptp',unknown),
[] ).
cnf(142425520,plain,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(rewrite,[status(thm)],[axiom_1_5]),
[] ).
cnf(157138336,plain,
theorem(or(B,or(not(A),A))),
inference(resolution,[status(thm)],[150412824,142425520]),
[] ).
fof(axiom_1_2,plain,
! [A] : axiom(or(not(or(A,A)),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),
[] ).
cnf(142413552,plain,
axiom(or(not(or(A,A)),A)),
inference(rewrite,[status(thm)],[axiom_1_2]),
[] ).
cnf(150268464,plain,
( theorem(A)
| ~ theorem(or(A,A)) ),
inference(resolution,[status(thm)],[142461344,142413552]),
[] ).
cnf(157233984,plain,
theorem(or(not(A),A)),
inference(resolution,[status(thm)],[157138336,150268464]),
[] ).
cnf(150489480,plain,
( theorem(or(B,or(A,C)))
| ~ theorem(or(A,or(B,C))) ),
inference(resolution,[status(thm)],[142461344,142425520]),
[] ).
fof(prove_this,plain,
~ theorem(or(p,or(not(or(p,q)),q))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),
[] ).
cnf(142481464,plain,
~ theorem(or(p,or(not(or(p,q)),q))),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157233984,150489480,142481464]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_2,plain,(theorem(A)|~axiom(or(not(B),A))|~theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),[]).
%
% cnf(142461344,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/LCL188-1.tptp',unknown),[]).
%
% cnf(142439984,plain,(theorem(A)|~axiom(A)),inference(rewrite,[status(thm)],[rule_1]),[]).
%
% fof(axiom_1_3,plain,(axiom(or(not(A),or(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),[]).
%
% cnf(142417720,plain,(axiom(or(not(A),or(B,A)))),inference(rewrite,[status(thm)],[axiom_1_3]),[]).
%
% cnf(150300240,plain,(theorem(or(not(A),or(B,A)))),inference(resolution,[status(thm)],[142439984,142417720]),[]).
%
% cnf(150412824,plain,(theorem(A)|~axiom(or(not(or(not(B),or(C,B))),A))),inference(resolution,[status(thm)],[142461344,150300240]),[]).
%
% 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/LCL188-1.tptp',unknown),[]).
%
% cnf(142425520,plain,(axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))),inference(rewrite,[status(thm)],[axiom_1_5]),[]).
%
% cnf(157138336,plain,(theorem(or(B,or(not(A),A)))),inference(resolution,[status(thm)],[150412824,142425520]),[]).
%
% fof(axiom_1_2,plain,(axiom(or(not(or(A,A)),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),[]).
%
% cnf(142413552,plain,(axiom(or(not(or(A,A)),A))),inference(rewrite,[status(thm)],[axiom_1_2]),[]).
%
% cnf(150268464,plain,(theorem(A)|~theorem(or(A,A))),inference(resolution,[status(thm)],[142461344,142413552]),[]).
%
% cnf(157233984,plain,(theorem(or(not(A),A))),inference(resolution,[status(thm)],[157138336,150268464]),[]).
%
% cnf(150489480,plain,(theorem(or(B,or(A,C)))|~theorem(or(A,or(B,C)))),inference(resolution,[status(thm)],[142461344,142425520]),[]).
%
% fof(prove_this,plain,(~theorem(or(p,or(not(or(p,q)),q)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL188-1.tptp',unknown),[]).
%
% cnf(142481464,plain,(~theorem(or(p,or(not(or(p,q)),q)))),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157233984,150489480,142481464]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------