%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS119+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:28:08 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 92 ( 42 ~; 39 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_10,plain,
! [A,B,C] :
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146185216,plain,
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(axiom_6,plain,
! [A,C] :
( ( ca_ax2(y_nn_1(A))
| ~ ca_vx3(A) )
& ( rr(A,y_nn_1(A))
| ~ ca_vx3(A) )
& ( ca_vx3(A)
| ~ rr(A,C)
| ~ ca_ax2(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146128544,plain,
( rr(A,y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A,C] :
( ( cp1(A)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( ca_vx3(y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rr(A,C)
| ~ ca_vx3(C)
| ~ cp1(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146018992,plain,
( ca_vx3(y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_11,plain,
cunsatisfiable(i2003_11_14_17_21_44786),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146189488,plain,
cunsatisfiable(i2003_11_14_17_21_44786),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(151443904,plain,
ca_vx3(y_nn_1(i2003_11_14_17_21_44786)),
inference(resolution,[status(thm)],[146018992,146189488]),
[] ).
cnf(151562376,plain,
rr(y_nn_1(i2003_11_14_17_21_44786),y_nn_1(y_nn_1(i2003_11_14_17_21_44786))),
inference(resolution,[status(thm)],[146128544,151443904]),
[] ).
cnf(151931416,plain,
( ~ rr(A,y_nn_1(i2003_11_14_17_21_44786))
| rr(A,y_nn_1(y_nn_1(i2003_11_14_17_21_44786))) ),
inference(resolution,[status(thm)],[146185216,151562376]),
[] ).
cnf(146030176,plain,
( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(151454768,plain,
rr(i2003_11_14_17_21_44786,y_nn_1(i2003_11_14_17_21_44786)),
inference(resolution,[status(thm)],[146030176,146189488]),
[] ).
cnf(151940696,plain,
rr(i2003_11_14_17_21_44786,y_nn_1(y_nn_1(i2003_11_14_17_21_44786))),
inference(resolution,[status(thm)],[151931416,151454768]),
[] ).
fof(axiom_9,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146167760,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| cp1xcomp(B)
| ~ ca_ax2(A) )
& ( cp1(A)
| ~ ca_ax2(A) )
& ( rinvr(A,y(A,B))
| ~ cp1(A)
| ca_ax2(A) )
& ( ~ cp1xcomp(y(A,B))
| ~ cp1(A)
| ca_ax2(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146110248,plain,
( ~ rinvr(A,B)
| cp1xcomp(B)
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(146135736,plain,
( ca_ax2(y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(151551400,plain,
ca_ax2(y_nn_1(y_nn_1(i2003_11_14_17_21_44786))),
inference(resolution,[status(thm)],[146135736,151443904]),
[] ).
cnf(151776760,plain,
( ~ rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_44786)),A)
| cp1xcomp(A) ),
inference(resolution,[status(thm)],[146110248,151551400]),
[] ).
fof(axiom_4,plain,
! [A,C] :
( ( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cp1xcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146075624,plain,
( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp1(A)
| ~ ra_px1(A,B) )
& ( cp1(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),
[] ).
cnf(146053896,plain,
( ~ cp1(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(146037304,plain,
( cp1(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(150222624,plain,
cp1(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[146037304,146189488]),
[] ).
cnf(151490064,plain,
~ ra_px1(i2003_11_14_17_21_44786,A),
inference(resolution,[status(thm)],[146053896,150222624]),
[] ).
cnf(151688296,plain,
~ cp1xcomp(i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[146075624,151490064]),
[] ).
cnf(151791072,plain,
~ rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_44786)),i2003_11_14_17_21_44786),
inference(resolution,[status(thm)],[151776760,151688296]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151940696,146167760,151791072]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_10,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146185216,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(axiom_6,plain,(((ca_ax2(y_nn_1(A))|~ca_vx3(A))&(rr(A,y_nn_1(A))|~ca_vx3(A))&(ca_vx3(A)|~rr(A,C)|~ca_ax2(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146128544,plain,(rr(A,y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(((cp1(A)|~cunsatisfiable(A))&(rr(A,y_nn_1(A))|~cunsatisfiable(A))&(ca_vx3(y_nn_1(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rr(A,C)|~ca_vx3(C)|~cp1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146018992,plain,(ca_vx3(y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_11,plain,(cunsatisfiable(i2003_11_14_17_21_44786)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146189488,plain,(cunsatisfiable(i2003_11_14_17_21_44786)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(151443904,plain,(ca_vx3(y_nn_1(i2003_11_14_17_21_44786))),inference(resolution,[status(thm)],[146018992,146189488]),[]).
%
% cnf(151562376,plain,(rr(y_nn_1(i2003_11_14_17_21_44786),y_nn_1(y_nn_1(i2003_11_14_17_21_44786)))),inference(resolution,[status(thm)],[146128544,151443904]),[]).
%
% cnf(151931416,plain,(~rr(A,y_nn_1(i2003_11_14_17_21_44786))|rr(A,y_nn_1(y_nn_1(i2003_11_14_17_21_44786)))),inference(resolution,[status(thm)],[146185216,151562376]),[]).
%
% cnf(146030176,plain,(rr(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(151454768,plain,(rr(i2003_11_14_17_21_44786,y_nn_1(i2003_11_14_17_21_44786))),inference(resolution,[status(thm)],[146030176,146189488]),[]).
%
% cnf(151940696,plain,(rr(i2003_11_14_17_21_44786,y_nn_1(y_nn_1(i2003_11_14_17_21_44786)))),inference(resolution,[status(thm)],[151931416,151454768]),[]).
%
% fof(axiom_9,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146167760,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% fof(axiom_5,plain,(((~rinvr(A,B)|cp1xcomp(B)|~ca_ax2(A))&(cp1(A)|~ca_ax2(A))&(rinvr(A,y(A,B))|~cp1(A)|ca_ax2(A))&(~cp1xcomp(y(A,B))|~cp1(A)|ca_ax2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146110248,plain,(~rinvr(A,B)|cp1xcomp(B)|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(146135736,plain,(ca_ax2(y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(151551400,plain,(ca_ax2(y_nn_1(y_nn_1(i2003_11_14_17_21_44786)))),inference(resolution,[status(thm)],[146135736,151443904]),[]).
%
% cnf(151776760,plain,(~rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_44786)),A)|cp1xcomp(A)),inference(resolution,[status(thm)],[146110248,151551400]),[]).
%
% fof(axiom_4,plain,(((~cp1xcomp(A)|ra_px1(A,y0_nn_1(A)))&(cp1xcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146075624,plain,(~cp1xcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_3,plain,(((~cp1(A)|~ra_px1(A,B))&(cp1(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS119+1.tptp',unknown),[]).
%
% cnf(146053896,plain,(~cp1(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(146037304,plain,(cp1(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(150222624,plain,(cp1(i2003_11_14_17_21_44786)),inference(resolution,[status(thm)],[146037304,146189488]),[]).
%
% cnf(151490064,plain,(~ra_px1(i2003_11_14_17_21_44786,A)),inference(resolution,[status(thm)],[146053896,150222624]),[]).
%
% cnf(151688296,plain,(~cp1xcomp(i2003_11_14_17_21_44786)),inference(resolution,[status(thm)],[146075624,151490064]),[]).
%
% cnf(151791072,plain,(~rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_44786)),i2003_11_14_17_21_44786)),inference(resolution,[status(thm)],[151776760,151688296]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151940696,146167760,151791072]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------