TSTP Solution File: SWC349+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC349+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:16:11 EDT 2009
% Result : Theorem 1.2s
% Output : Refutation 1.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 19 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax42,plain,
! [A] :
( ~ sslist(A)
| frontsegp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),
[] ).
cnf(160674320,plain,
( ~ sslist(A)
| frontsegp(A,A) ),
inference(rewrite,[status(thm)],[ax42]),
[] ).
fof(ax17,plain,
sslist(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),
[] ).
cnf(160151904,plain,
sslist(nil),
inference(rewrite,[status(thm)],[ax17]),
[] ).
cnf(196773552,plain,
frontsegp(nil,nil),
inference(resolution,[status(thm)],[160674320,160151904]),
[] ).
fof(ax45,plain,
! [A] :
( ~ sslist(A)
| frontsegp(A,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),
[] ).
cnf(160758784,plain,
( ~ sslist(A)
| frontsegp(A,nil) ),
inference(rewrite,[status(thm)],[ax45]),
[] ).
fof(ax40,plain,
! [A,B,C] :
( ~ sslist(A)
| ~ sslist(B)
| ~ sslist(C)
| ~ frontsegp(A,B)
| ~ frontsegp(B,C)
| frontsegp(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),
[] ).
cnf(160648136,plain,
( ~ sslist(A)
| ~ sslist(B)
| ~ sslist(C)
| ~ frontsegp(A,B)
| ~ frontsegp(B,C)
| frontsegp(A,C) ),
inference(rewrite,[status(thm)],[ax40]),
[] ).
cnf(197942536,plain,
( ~ sslist(A)
| ~ sslist(B)
| ~ frontsegp(nil,B)
| frontsegp(A,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160758784,160648136,160151904]),
[] ).
fof(co1,plain,
( sslist(u)
& sslist(v)
& sslist(w)
& sslist(x)
& $equal(w,nil)
& $equal(x,v)
& $equal(w,u)
& neq(v,nil)
& ~ frontsegp(v,u) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),
[] ).
cnf(161735992,plain,
sslist(v),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(201131032,plain,
( ~ sslist(A)
| ~ frontsegp(nil,A)
| frontsegp(v,A) ),
inference(resolution,[status(thm)],[197942536,161735992]),
[] ).
cnf(201149880,plain,
frontsegp(v,nil),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196773552,201131032,160151904]),
[] ).
cnf(161707456,plain,
$equal(w,nil),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(214985272,plain,
frontsegp(v,w),
inference(paramodulation,[status(thm)],[201149880,161707456,theory(equality)]),
[] ).
cnf(161659632,plain,
~ frontsegp(v,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(161686824,plain,
$equal(w,u),
inference(rewrite,[status(thm)],[co1]),
[] ).
cnf(214777712,plain,
~ frontsegp(v,w),
inference(paramodulation,[status(thm)],[161659632,161686824,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[214985272,214777712]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(ax42,plain,(~sslist(A)|frontsegp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),[]).
%
% cnf(160674320,plain,(~sslist(A)|frontsegp(A,A)),inference(rewrite,[status(thm)],[ax42]),[]).
%
% fof(ax17,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),[]).
%
% cnf(160151904,plain,(sslist(nil)),inference(rewrite,[status(thm)],[ax17]),[]).
%
% cnf(196773552,plain,(frontsegp(nil,nil)),inference(resolution,[status(thm)],[160674320,160151904]),[]).
%
% fof(ax45,plain,(~sslist(A)|frontsegp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),[]).
%
% cnf(160758784,plain,(~sslist(A)|frontsegp(A,nil)),inference(rewrite,[status(thm)],[ax45]),[]).
%
% fof(ax40,plain,(~sslist(A)|~sslist(B)|~sslist(C)|~frontsegp(A,B)|~frontsegp(B,C)|frontsegp(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),[]).
%
% cnf(160648136,plain,(~sslist(A)|~sslist(B)|~sslist(C)|~frontsegp(A,B)|~frontsegp(B,C)|frontsegp(A,C)),inference(rewrite,[status(thm)],[ax40]),[]).
%
% cnf(197942536,plain,(~sslist(A)|~sslist(B)|~frontsegp(nil,B)|frontsegp(A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160758784,160648136,160151904]),[]).
%
% fof(co1,plain,((sslist(u)&sslist(v)&sslist(w)&sslist(x)&$equal(w,nil)&$equal(x,v)&$equal(w,u)&neq(v,nil)&~frontsegp(v,u))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349+1.tptp',unknown),[]).
%
% cnf(161735992,plain,(sslist(v)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(201131032,plain,(~sslist(A)|~frontsegp(nil,A)|frontsegp(v,A)),inference(resolution,[status(thm)],[197942536,161735992]),[]).
%
% cnf(201149880,plain,(frontsegp(v,nil)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196773552,201131032,160151904]),[]).
%
% cnf(161707456,plain,($equal(w,nil)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(214985272,plain,(frontsegp(v,w)),inference(paramodulation,[status(thm)],[201149880,161707456,theory(equality)]),[]).
%
% cnf(161659632,plain,(~frontsegp(v,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(161686824,plain,($equal(w,u)),inference(rewrite,[status(thm)],[co1]),[]).
%
% cnf(214777712,plain,(~frontsegp(v,w)),inference(paramodulation,[status(thm)],[161659632,161686824,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[214985272,214777712]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------