TSTP Solution File: KRS089+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS089+1 : TPTP v3.4.2. Released v3.1.0.
% 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 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:26:48 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 74 ( 34 ~; 32 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 33 ( 4 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
cunsatisfiable(i2003_11_14_17_19_53168),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(166027616,plain,
cunsatisfiable(i2003_11_14_17_19_53168),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(rinvP_substitution_1,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rinvp(A,C)
| rinvp(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(165850688,plain,
( ~ $equal(B,A)
| ~ rinvp(A,C)
| rinvp(B,C) ),
inference(rewrite,[status(thm)],[rinvP_substitution_1]),
[] ).
fof(axiom_3,plain,
! [A] :
( ( $equal(ispy,y(A))
| ~ cowlthing(A) )
& ( rp(A,y(A))
| ~ cowlthing(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(165922256,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(165992600,plain,
$equal(ispy,y(A)),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,165922256]),
[] ).
cnf(171439592,plain,
( ~ rinvp(y(B),A)
| rinvp(ispy,A) ),
inference(resolution,[status(thm)],[165850688,165992600]),
[] ).
fof(axiom_4,plain,
! [A,B] :
( ( ~ rp(A,B)
| rinvp(B,A) )
& ( rp(A,B)
| ~ rinvp(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(166009232,plain,
( ~ rp(A,B)
| rinvp(B,A) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(165987528,plain,
rp(A,y(A)),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,165922256]),
[] ).
cnf(171331296,plain,
rinvp(y(A),A),
inference(resolution,[status(thm)],[166009232,165987528]),
[] ).
cnf(171565088,plain,
rinvp(ispy,A),
inference(resolution,[status(thm)],[171439592,171331296]),
[] ).
fof(axiom_5,plain,
! [A,B,C] :
( ~ rinvp(ispy,A)
| ~ rinvp(ispy,B)
| ~ rinvp(ispy,C)
| $equal(B,A)
| $equal(C,A)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(166022608,plain,
( ~ rinvp(ispy,A)
| ~ rinvp(ispy,B)
| ~ rinvp(ispy,C)
| $equal(B,A)
| $equal(C,A)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(171604760,plain,
( $equal(B,A)
| $equal(C,A)
| $equal(C,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171565088,166022608,171565088]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( rr(A,y1(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y2(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y1(A),y0(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y2(A),y0(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y2(A),y1(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y0(A))
| ~ cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),
[] ).
cnf(165956376,plain,
( ~ $equal(y2(A),y1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(171287144,plain,
~ $equal(y2(i2003_11_14_17_19_53168),y1(i2003_11_14_17_19_53168)),
inference(resolution,[status(thm)],[165956376,166027616]),
[] ).
cnf(172866632,plain,
( $equal(A,y1(i2003_11_14_17_19_53168))
| $equal(y2(i2003_11_14_17_19_53168),A) ),
inference(resolution,[status(thm)],[171604760,171287144]),
[] ).
cnf(165805128,plain,
( ~ $equal(y2(A),y0(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(171305120,plain,
~ $equal(y2(i2003_11_14_17_19_53168),y0(i2003_11_14_17_19_53168)),
inference(resolution,[status(thm)],[165805128,166027616]),
[] ).
cnf(178142480,plain,
$equal(y0(i2003_11_14_17_19_53168),y1(i2003_11_14_17_19_53168)),
inference(resolution,[status(thm)],[172866632,171305120]),
[] ).
cnf(165968056,plain,
( ~ $equal(y1(A),y0(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166027616,178142480,165968056,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(cunsatisfiable(i2003_11_14_17_19_53168)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(166027616,plain,(cunsatisfiable(i2003_11_14_17_19_53168)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(rinvP_substitution_1,plain,(~$equal(B,A)|~rinvp(A,C)|rinvp(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(165850688,plain,(~$equal(B,A)|~rinvp(A,C)|rinvp(B,C)),inference(rewrite,[status(thm)],[rinvP_substitution_1]),[]).
%
% fof(axiom_3,plain,((($equal(ispy,y(A))|~cowlthing(A))&(rp(A,y(A))|~cowlthing(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(165922256,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(165992600,plain,($equal(ispy,y(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,165922256]),[]).
%
% cnf(171439592,plain,(~rinvp(y(B),A)|rinvp(ispy,A)),inference(resolution,[status(thm)],[165850688,165992600]),[]).
%
% fof(axiom_4,plain,(((~rp(A,B)|rinvp(B,A))&(rp(A,B)|~rinvp(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(166009232,plain,(~rp(A,B)|rinvp(B,A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(165987528,plain,(rp(A,y(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,165922256]),[]).
%
% cnf(171331296,plain,(rinvp(y(A),A)),inference(resolution,[status(thm)],[166009232,165987528]),[]).
%
% cnf(171565088,plain,(rinvp(ispy,A)),inference(resolution,[status(thm)],[171439592,171331296]),[]).
%
% fof(axiom_5,plain,(~rinvp(ispy,A)|~rinvp(ispy,B)|~rinvp(ispy,C)|$equal(B,A)|$equal(C,A)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(166022608,plain,(~rinvp(ispy,A)|~rinvp(ispy,B)|~rinvp(ispy,C)|$equal(B,A)|$equal(C,A)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(171604760,plain,($equal(B,A)|$equal(C,A)|$equal(C,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171565088,166022608,171565088]),[]).
%
% fof(axiom_2,plain,(((rr(A,y1(A))|~cunsatisfiable(A))&(rr(A,y2(A))|~cunsatisfiable(A))&(~$equal(y1(A),y0(A))|~cunsatisfiable(A))&(~$equal(y2(A),y0(A))|~cunsatisfiable(A))&(~$equal(y2(A),y1(A))|~cunsatisfiable(A))&(rr(A,y0(A))|~cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS089+1.tptp',unknown),[]).
%
% cnf(165956376,plain,(~$equal(y2(A),y1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(171287144,plain,(~$equal(y2(i2003_11_14_17_19_53168),y1(i2003_11_14_17_19_53168))),inference(resolution,[status(thm)],[165956376,166027616]),[]).
%
% cnf(172866632,plain,($equal(A,y1(i2003_11_14_17_19_53168))|$equal(y2(i2003_11_14_17_19_53168),A)),inference(resolution,[status(thm)],[171604760,171287144]),[]).
%
% cnf(165805128,plain,(~$equal(y2(A),y0(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(171305120,plain,(~$equal(y2(i2003_11_14_17_19_53168),y0(i2003_11_14_17_19_53168))),inference(resolution,[status(thm)],[165805128,166027616]),[]).
%
% cnf(178142480,plain,($equal(y0(i2003_11_14_17_19_53168),y1(i2003_11_14_17_19_53168))),inference(resolution,[status(thm)],[172866632,171305120]),[]).
%
% cnf(165968056,plain,(~$equal(y1(A),y0(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166027616,178142480,165968056,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------