TSTP Solution File: SWV280-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV280-2 : TPTP v3.4.2. Released v3.2.0.
% 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 16:30:00 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 3 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Public_ONonce__supply__lemma_0,plain,
! [A,B] :
( ~ c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)
| ~ c_lessequals(v_sko__urx(B),A,tc_nat) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),
[] ).
cnf(166162200,plain,
( ~ c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)
| ~ c_lessequals(v_sko__urx(B),A,tc_nat) ),
inference(rewrite,[status(thm)],[cls_Public_ONonce__supply__lemma_0]),
[] ).
fof(cls_conjecture_0,plain,
! [A] : c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),
[] ).
cnf(166135816,plain,
c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(173967072,plain,
~ c_lessequals(v_sko__urx(v_evs),A,tc_nat),
inference(resolution,[status(thm)],[166162200,166135816]),
[] ).
fof(cls_Nat_Ole__add1_0,plain,
! [A,B] : c_lessequals(A,c_plus(A,B,tc_nat),tc_nat),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),
[] ).
cnf(166140776,plain,
c_lessequals(A,c_plus(A,B,tc_nat),tc_nat),
inference(rewrite,[status(thm)],[cls_Nat_Ole__add1_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[173967072,166140776]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Public_ONonce__supply__lemma_0,plain,(~c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)|~c_lessequals(v_sko__urx(B),A,tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),[]).
%
% cnf(166162200,plain,(~c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)|~c_lessequals(v_sko__urx(B),A,tc_nat)),inference(rewrite,[status(thm)],[cls_Public_ONonce__supply__lemma_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),[]).
%
% cnf(166135816,plain,(c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(173967072,plain,(~c_lessequals(v_sko__urx(v_evs),A,tc_nat)),inference(resolution,[status(thm)],[166162200,166135816]),[]).
%
% fof(cls_Nat_Ole__add1_0,plain,(c_lessequals(A,c_plus(A,B,tc_nat),tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV280-2.tptp',unknown),[]).
%
% cnf(166140776,plain,(c_lessequals(A,c_plus(A,B,tc_nat),tc_nat)),inference(rewrite,[status(thm)],[cls_Nat_Ole__add1_0]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[173967072,166140776]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------