TSTP Solution File: KRS084+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS084+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:26:36 EDT 2009
% Result : Unsatisfiable 3.6s
% Output : Refutation 3.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 113 ( 51 ~; 51 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_8,plain,
cunsatisfiable(i2003_11_14_17_19_35232),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151713920,plain,
cunsatisfiable(i2003_11_14_17_19_35232),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_2,plain,
! [A,C,E,G] :
( ( cd(z_nn_4(A,C))
| ~ rinvr(A,C)
| ~ cunsatisfiable(A) )
& ( rinvf(C,z_nn_4(A,C))
| ~ rinvr(A,C)
| ~ cunsatisfiable(A) )
& ( ~ cc(A)
| ~ cunsatisfiable(A) )
& ( rinvf(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cd(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rinvr(A,y(A,C,E))
| cc(A)
| ~ rinvf(A,E)
| ~ cd(E)
| cunsatisfiable(A) )
& ( ~ rinvf(y(A,C,E),G)
| ~ cd(G)
| cc(A)
| ~ rinvf(A,E)
| ~ cd(E)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151622432,plain,
( cd(z_nn_4(A,C))
| ~ rinvr(A,C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_6,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151366096,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_9,plain,
! [A,B] :
( ~ rf(A,B)
| rr(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151723240,plain,
( ~ rf(A,B)
| rr(A,B) ),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvf(A,B)
| rf(B,A) )
& ( rinvf(A,B)
| ~ rf(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151688384,plain,
( ~ rinvf(A,B)
| rf(B,A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(151580312,plain,
( rinvf(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(156965640,plain,
rinvf(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[151580312,151713920]),
[] ).
cnf(157261136,plain,
rf(y_nn_3(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolution,[status(thm)],[151688384,156965640]),
[] ).
cnf(157299960,plain,
rr(y_nn_3(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolution,[status(thm)],[151723240,157261136]),
[] ).
cnf(157346936,plain,
rinvr(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[151366096,157299960]),
[] ).
cnf(157423040,plain,
cd(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151713920,151622432,157346936]),
[] ).
cnf(151607360,plain,
( rinvf(C,z_nn_4(A,C))
| ~ rinvr(A,C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(157433360,plain,
rinvf(y_nn_3(i2003_11_14_17_19_35232),z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151713920,151607360,157346936]),
[] ).
cnf(172386512,plain,
rf(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),y_nn_3(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[157433360,151688384]),
[] ).
fof(axiom_4,plain,
! [A,B,C] :
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151672520,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(cd_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cd(A)
| cd(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151394176,plain,
( ~ $equal(B,A)
| ~ cd(A)
| cd(B) ),
inference(rewrite,[status(thm)],[cd_substitution_1]),
[] ).
cnf(151573312,plain,
( cd(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(156938144,plain,
cd(y_nn_3(i2003_11_14_17_19_35232)),
inference(resolution,[status(thm)],[151573312,151713920]),
[] ).
cnf(157077880,plain,
( ~ $equal(A,y_nn_3(i2003_11_14_17_19_35232))
| cd(A) ),
inference(resolution,[status(thm)],[151394176,156938144]),
[] ).
cnf(161709504,plain,
( ~ rf(A,y_nn_3(i2003_11_14_17_19_35232))
| ~ rf(A,B)
| cd(B) ),
inference(resolution,[status(thm)],[151672520,157077880]),
[] ).
fof(axiom_3,plain,
! [A,C] :
( ( cc(A)
| ~ cd(A) )
& ( rf(A,y_nn_1(A))
| ~ cd(A) )
& ( ~ cc(y_nn_1(A))
| ~ cd(A) )
& ( cd(A)
| ~ rf(A,C)
| cc(C)
| ~ cc(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),
[] ).
cnf(151653112,plain,
( rf(A,y_nn_1(A))
| ~ cd(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(160159568,plain,
rf(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),y_nn_1(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)))),
inference(resolution,[status(thm)],[157423040,151653112]),
[] ).
cnf(244341288,plain,
cd(y_nn_1(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172386512,161709504,160159568]),
[] ).
cnf(151641992,plain,
( ~ cc(y_nn_1(A))
| ~ cd(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(151664320,plain,
( cc(A)
| ~ cd(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(157793216,plain,
( ~ cd(A)
| ~ cd(y_nn_1(A)) ),
inference(resolution,[status(thm)],[151641992,151664320]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157423040,244341288,157793216]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_19_35232)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151713920,plain,(cunsatisfiable(i2003_11_14_17_19_35232)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_2,plain,(((cd(z_nn_4(A,C))|~rinvr(A,C)|~cunsatisfiable(A))&(rinvf(C,z_nn_4(A,C))|~rinvr(A,C)|~cunsatisfiable(A))&(~cc(A)|~cunsatisfiable(A))&(rinvf(A,y_nn_3(A))|~cunsatisfiable(A))&(cd(y_nn_3(A))|~cunsatisfiable(A))&(rinvr(A,y(A,C,E))|cc(A)|~rinvf(A,E)|~cd(E)|cunsatisfiable(A))&(~rinvf(y(A,C,E),G)|~cd(G)|cc(A)|~rinvf(A,E)|~cd(E)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151622432,plain,(cd(z_nn_4(A,C))|~rinvr(A,C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_6,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151366096,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_9,plain,(~rf(A,B)|rr(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151723240,plain,(~rf(A,B)|rr(A,B)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% fof(axiom_5,plain,(((~rinvf(A,B)|rf(B,A))&(rinvf(A,B)|~rf(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151688384,plain,(~rinvf(A,B)|rf(B,A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(151580312,plain,(rinvf(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(156965640,plain,(rinvf(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[151580312,151713920]),[]).
%
% cnf(157261136,plain,(rf(y_nn_3(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[151688384,156965640]),[]).
%
% cnf(157299960,plain,(rr(y_nn_3(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[151723240,157261136]),[]).
%
% cnf(157346936,plain,(rinvr(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[151366096,157299960]),[]).
%
% cnf(157423040,plain,(cd(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151713920,151622432,157346936]),[]).
%
% cnf(151607360,plain,(rinvf(C,z_nn_4(A,C))|~rinvr(A,C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(157433360,plain,(rinvf(y_nn_3(i2003_11_14_17_19_35232),z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151713920,151607360,157346936]),[]).
%
% cnf(172386512,plain,(rf(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),y_nn_3(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[157433360,151688384]),[]).
%
% fof(axiom_4,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151672520,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(cd_substitution_1,plain,(~$equal(B,A)|~cd(A)|cd(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151394176,plain,(~$equal(B,A)|~cd(A)|cd(B)),inference(rewrite,[status(thm)],[cd_substitution_1]),[]).
%
% cnf(151573312,plain,(cd(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(156938144,plain,(cd(y_nn_3(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[151573312,151713920]),[]).
%
% cnf(157077880,plain,(~$equal(A,y_nn_3(i2003_11_14_17_19_35232))|cd(A)),inference(resolution,[status(thm)],[151394176,156938144]),[]).
%
% cnf(161709504,plain,(~rf(A,y_nn_3(i2003_11_14_17_19_35232))|~rf(A,B)|cd(B)),inference(resolution,[status(thm)],[151672520,157077880]),[]).
%
% fof(axiom_3,plain,(((cc(A)|~cd(A))&(rf(A,y_nn_1(A))|~cd(A))&(~cc(y_nn_1(A))|~cd(A))&(cd(A)|~rf(A,C)|cc(C)|~cc(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS084+1.tptp',unknown),[]).
%
% cnf(151653112,plain,(rf(A,y_nn_1(A))|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(160159568,plain,(rf(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232)),y_nn_1(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))))),inference(resolution,[status(thm)],[157423040,151653112]),[]).
%
% cnf(244341288,plain,(cd(y_nn_1(z_nn_4(i2003_11_14_17_19_35232,y_nn_3(i2003_11_14_17_19_35232))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[172386512,161709504,160159568]),[]).
%
% cnf(151641992,plain,(~cc(y_nn_1(A))|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(151664320,plain,(cc(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(157793216,plain,(~cd(A)|~cd(y_nn_1(A))),inference(resolution,[status(thm)],[151641992,151664320]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[157423040,244341288,157793216]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------