TSTP Solution File: SWV281-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV281-2 : 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 16:30:02 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 10 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
! [B,A] :
( $equal(B,A)
| c_in(c_message_omsg_ononce(B),c_event_oused(v_evs_h),tc_message_omsg)
| c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),
[] ).
cnf(158987704,plain,
( $equal(B,A)
| c_in(c_message_omsg_ononce(B),c_event_oused(v_evs_h),tc_message_omsg)
| c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
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/SWV281-2.tptp',unknown),
[] ).
cnf(159047784,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_Nat_Ole__add2_0,plain,
! [A,B] : c_lessequals(A,c_plus(B,A,tc_nat),tc_nat),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),
[] ).
cnf(158998080,plain,
c_lessequals(A,c_plus(B,A,tc_nat),tc_nat),
inference(rewrite,[status(thm)],[cls_Nat_Ole__add2_0]),
[] ).
cnf(166916920,plain,
~ c_in(c_message_omsg_ononce(c_plus(B,v_sko__urx(A),tc_nat)),c_event_oused(A),tc_message_omsg),
inference(resolution,[status(thm)],[159047784,158998080]),
[] ).
cnf(166942520,plain,
( $equal(c_plus(B,v_sko__urx(v_evs_h),tc_nat),A)
| c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg) ),
inference(resolution,[status(thm)],[158987704,166916920]),
[] ).
cnf(167116856,plain,
$equal(c_plus(A,v_sko__urx(v_evs_h),tc_nat),c_plus(B,v_sko__urx(v_evs),tc_nat)),
inference(resolution,[status(thm)],[166942520,166916920]),
[] ).
fof(cls_Nat_Onat__add__right__cancel_0,plain,
! [C,B,A] :
( ~ $equal(c_plus(C,B,tc_nat),c_plus(A,B,tc_nat))
| $equal(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),
[] ).
cnf(159018016,plain,
( ~ $equal(c_plus(C,B,tc_nat),c_plus(A,B,tc_nat))
| $equal(C,A) ),
inference(rewrite,[status(thm)],[cls_Nat_Onat__add__right__cancel_0]),
[] ).
cnf(167266568,plain,
$equal(C,A),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[167116856,167116856,159018016,theory(equality)]),
[] ).
fof(cls_List_Olist_Odistinct__1_0,plain,
! [A,B,C] : ~ $equal(c_list_olist_ocons(A,B,C),c_list_olist_onil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),
[] ).
cnf(158992960,plain,
~ $equal(c_list_olist_ocons(A,B,C),c_list_olist_onil),
inference(rewrite,[status(thm)],[cls_List_Olist_Odistinct__1_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167266568,158992960]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,($equal(B,A)|c_in(c_message_omsg_ononce(B),c_event_oused(v_evs_h),tc_message_omsg)|c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),[]).
%
% cnf(158987704,plain,($equal(B,A)|c_in(c_message_omsg_ononce(B),c_event_oused(v_evs_h),tc_message_omsg)|c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Public_ONonce__supply__lemma_0,plain,(~c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)|~c_lessequals(v_sko__urx(B),A,tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),[]).
%
% cnf(159047784,plain,(~c_in(c_message_omsg_ononce(A),c_event_oused(B),tc_message_omsg)|~c_lessequals(v_sko__urx(B),A,tc_nat)),inference(rewrite,[status(thm)],[cls_Public_ONonce__supply__lemma_0]),[]).
%
% fof(cls_Nat_Ole__add2_0,plain,(c_lessequals(A,c_plus(B,A,tc_nat),tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),[]).
%
% cnf(158998080,plain,(c_lessequals(A,c_plus(B,A,tc_nat),tc_nat)),inference(rewrite,[status(thm)],[cls_Nat_Ole__add2_0]),[]).
%
% cnf(166916920,plain,(~c_in(c_message_omsg_ononce(c_plus(B,v_sko__urx(A),tc_nat)),c_event_oused(A),tc_message_omsg)),inference(resolution,[status(thm)],[159047784,158998080]),[]).
%
% cnf(166942520,plain,($equal(c_plus(B,v_sko__urx(v_evs_h),tc_nat),A)|c_in(c_message_omsg_ononce(A),c_event_oused(v_evs),tc_message_omsg)),inference(resolution,[status(thm)],[158987704,166916920]),[]).
%
% cnf(167116856,plain,($equal(c_plus(A,v_sko__urx(v_evs_h),tc_nat),c_plus(B,v_sko__urx(v_evs),tc_nat))),inference(resolution,[status(thm)],[166942520,166916920]),[]).
%
% fof(cls_Nat_Onat__add__right__cancel_0,plain,(~$equal(c_plus(C,B,tc_nat),c_plus(A,B,tc_nat))|$equal(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),[]).
%
% cnf(159018016,plain,(~$equal(c_plus(C,B,tc_nat),c_plus(A,B,tc_nat))|$equal(C,A)),inference(rewrite,[status(thm)],[cls_Nat_Onat__add__right__cancel_0]),[]).
%
% cnf(167266568,plain,($equal(C,A)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[167116856,167116856,159018016,theory(equality)]),[]).
%
% fof(cls_List_Olist_Odistinct__1_0,plain,(~$equal(c_list_olist_ocons(A,B,C),c_list_olist_onil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV281-2.tptp',unknown),[]).
%
% cnf(158992960,plain,(~$equal(c_list_olist_ocons(A,B,C),c_list_olist_onil)),inference(rewrite,[status(thm)],[cls_List_Olist_Odistinct__1_0]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167266568,158992960]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------