TSTP Solution File: HWV028-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV028-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:19:25 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_26,plain,
! [A] :
( ~ p_reset(A)
| $equal(int_level(plus(A,n1)),n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157580504,plain,
( ~ p_reset(A)
| $equal(int_level(plus(A,n1)),n0) ),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
fof(quest_1,plain,
p_reset(t_139),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(158141888,plain,
p_reset(t_139),
inference(rewrite,[status(thm)],[quest_1]),
[] ).
cnf(171472320,plain,
$equal(int_level(plus(t_139,n1)),n0),
inference(resolution,[status(thm)],[157580504,158141888]),
[] ).
fof(axiom_24,plain,
! [A] :
( ~ $equal(n0,int_level(A))
| p_empty(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157563056,plain,
( ~ $equal(n0,int_level(A))
| p_empty(A) ),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(174878752,plain,
p_empty(plus(t_139,n1)),
inference(paramodulation,[status(thm)],[171472320,157563056,theory(equality)]),
[] ).
fof(axiom_25,plain,
! [A] :
( $equal(n0,int_level(A))
| ~ p_empty(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157573536,plain,
( $equal(n0,int_level(A))
| ~ p_empty(A) ),
inference(rewrite,[status(thm)],[axiom_25]),
[] ).
fof(quest_3,plain,
gt(fifo_length,n0),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(158154576,plain,
gt(fifo_length,n0),
inference(rewrite,[status(thm)],[quest_3]),
[] ).
cnf(172665464,plain,
( ~ p_empty(A)
| gt(fifo_length,int_level(A)) ),
inference(paramodulation,[status(thm)],[157573536,158154576,theory(equality)]),
[] ).
fof(axiom_21,plain,
! [A] : $equal(int_level(A),level(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157540832,plain,
$equal(int_level(A),level(A)),
inference(rewrite,[status(thm)],[axiom_21]),
[] ).
cnf(173547128,plain,
( ~ p_empty(A)
| gt(fifo_length,level(A)) ),
inference(paramodulation,[status(thm)],[172665464,157540832,theory(equality)]),
[] ).
cnf(175017280,plain,
gt(fifo_length,level(plus(t_139,n1))),
inference(resolution,[status(thm)],[174878752,173547128]),
[] ).
fof(quest_2,plain,
gt(level(plus(t_139,n1)),fifo_length),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(158150448,plain,
gt(level(plus(t_139,n1)),fifo_length),
inference(rewrite,[status(thm)],[quest_2]),
[] ).
fof(axiom_13,plain,
! [A,B,C] :
( ~ gt(A,B)
| gt(A,C)
| ~ gt(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157479352,plain,
( ~ gt(A,B)
| gt(A,C)
| ~ gt(B,C) ),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
fof(axiom_17,plain,
! [A] : ~ gt(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),
[] ).
cnf(157514240,plain,
~ gt(A,A),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(180135592,plain,
( ~ gt(A,B)
| ~ gt(B,A) ),
inference(resolution,[status(thm)],[157479352,157514240]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[175017280,158150448,180135592]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_26,plain,(~p_reset(A)|$equal(int_level(plus(A,n1)),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157580504,plain,(~p_reset(A)|$equal(int_level(plus(A,n1)),n0)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% fof(quest_1,plain,(p_reset(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(158141888,plain,(p_reset(t_139)),inference(rewrite,[status(thm)],[quest_1]),[]).
%
% cnf(171472320,plain,($equal(int_level(plus(t_139,n1)),n0)),inference(resolution,[status(thm)],[157580504,158141888]),[]).
%
% fof(axiom_24,plain,(~$equal(n0,int_level(A))|p_empty(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157563056,plain,(~$equal(n0,int_level(A))|p_empty(A)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(174878752,plain,(p_empty(plus(t_139,n1))),inference(paramodulation,[status(thm)],[171472320,157563056,theory(equality)]),[]).
%
% fof(axiom_25,plain,($equal(n0,int_level(A))|~p_empty(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157573536,plain,($equal(n0,int_level(A))|~p_empty(A)),inference(rewrite,[status(thm)],[axiom_25]),[]).
%
% fof(quest_3,plain,(gt(fifo_length,n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(158154576,plain,(gt(fifo_length,n0)),inference(rewrite,[status(thm)],[quest_3]),[]).
%
% cnf(172665464,plain,(~p_empty(A)|gt(fifo_length,int_level(A))),inference(paramodulation,[status(thm)],[157573536,158154576,theory(equality)]),[]).
%
% fof(axiom_21,plain,($equal(int_level(A),level(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157540832,plain,($equal(int_level(A),level(A))),inference(rewrite,[status(thm)],[axiom_21]),[]).
%
% cnf(173547128,plain,(~p_empty(A)|gt(fifo_length,level(A))),inference(paramodulation,[status(thm)],[172665464,157540832,theory(equality)]),[]).
%
% cnf(175017280,plain,(gt(fifo_length,level(plus(t_139,n1)))),inference(resolution,[status(thm)],[174878752,173547128]),[]).
%
% fof(quest_2,plain,(gt(level(plus(t_139,n1)),fifo_length)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(158150448,plain,(gt(level(plus(t_139,n1)),fifo_length)),inference(rewrite,[status(thm)],[quest_2]),[]).
%
% fof(axiom_13,plain,(~gt(A,B)|gt(A,C)|~gt(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157479352,plain,(~gt(A,B)|gt(A,C)|~gt(B,C)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% fof(axiom_17,plain,(~gt(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV028-1.tptp',unknown),[]).
%
% cnf(157514240,plain,(~gt(A,A)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(180135592,plain,(~gt(A,B)|~gt(B,A)),inference(resolution,[status(thm)],[157479352,157514240]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[175017280,158150448,180135592]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------