TSTP Solution File: KRS157+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS157+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 13:30:06 EDT 2009
% Result : Theorem 0.8s
% Output : Refutation 0.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 19 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 199 ( 88 ~; 94 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_215,plain,
cc12xcomp(iv3102),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182742160,plain,
cc12xcomp(iv3102),
inference(rewrite,[status(thm)],[axiom_215]),
[] ).
fof(axiom_44,plain,
! [A] :
( ( cc12xcomp(A)
| ~ cc14(A) )
& ( cc2xcomp(A)
| ~ cc14(A) )
& ( cc14(A)
| ~ cc2xcomp(A)
| ~ cc12xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(167477280,plain,
( cc14(A)
| ~ cc2xcomp(A)
| ~ cc12xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_44]),
[] ).
fof(axiom_203,plain,
cc2xcomp(iv3102),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182340800,plain,
cc2xcomp(iv3102),
inference(rewrite,[status(thm)],[axiom_203]),
[] ).
cnf(197320072,plain,
cc14(iv3102),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182742160,167477280,182340800]),
[] ).
fof(axiom_210,plain,
cc16xcomp(iv3102),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182576608,plain,
cc16xcomp(iv3102),
inference(rewrite,[status(thm)],[axiom_210]),
[] ).
fof(axiom_131,plain,
! [A] :
( ( cc26xcomp(A)
| ~ cc28(A) )
& ( cc16xcomp(A)
| ~ cc28(A) )
& ( cc28(A)
| ~ cc16xcomp(A)
| ~ cc26xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(175941984,plain,
( cc28(A)
| ~ cc16xcomp(A)
| ~ cc26xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_131]),
[] ).
fof(axiom_206,plain,
cc26xcomp(iv3102),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182444480,plain,
cc26xcomp(iv3102),
inference(rewrite,[status(thm)],[axiom_206]),
[] ).
cnf(197467864,plain,
cc28(iv3102),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182576608,175941984,182444480]),
[] ).
fof(axiom_201,plain,
! [A] :
( ( cc46(A)
| ~ ctest(A) )
& ( cc216(A)
| ~ ctest(A) )
& ( ctest(A)
| ~ cc216(A)
| ~ cc46(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182269128,plain,
( cc46(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_201]),
[] ).
fof(axiom_202,plain,
ctest(iv3102),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(182307632,plain,
ctest(iv3102),
inference(rewrite,[status(thm)],[axiom_202]),
[] ).
cnf(197199064,plain,
cc46(iv3102),
inference(resolution,[status(thm)],[182269128,182307632]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cc14(iv3102)
| ~ cc44(iv3102)
| ~ cc216(iv3102)
| ~ cc64(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| ~ cowlthing(iv3102)
| ~ cc30(iv3102)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cc14(iv3102)
| ~ cc44(iv3102)
| ~ cc216(iv3102)
| ~ cc64(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| ~ cowlthing(iv3102)
| ~ cc30(iv3102)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cc14(iv3102)
| ~ cc44(iv3102)
| ~ cc216(iv3102)
| ~ cc64(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| ~ cowlthing(iv3102)
| ~ cc30(iv3102)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cc14(iv3102)
| ~ cc44(iv3102)
| ~ cc216(iv3102)
| ~ cc64(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| ~ cowlthing(iv3102)
| ~ cc30(iv3102)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
fof(axiom_132,plain,
! [A] :
( ( cc14(A)
| ~ cc30(A) )
& ( cc28(A)
| ~ cc30(A) )
& ( cc30(A)
| ~ cc28(A)
| ~ cc14(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(176060816,plain,
( cc30(A)
| ~ cc28(A)
| ~ cc14(A) ),
inference(rewrite,[status(thm)],[axiom_132]),
[] ).
fof(axiom_121,plain,
! [A] :
( ( cc214xcomp(A)
| ~ cc216(A) )
& ( cc64(A)
| ~ cc216(A) )
& ( cc216(A)
| ~ cc64(A)
| ~ cc214xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(175120672,plain,
( cc64(A)
| ~ cc216(A) ),
inference(rewrite,[status(thm)],[axiom_121]),
[] ).
fof(axiom_148,plain,
! [A] :
( ( cc44(A)
| ~ cc46(A) )
& ( cc30(A)
| ~ cc46(A) )
& ( cc46(A)
| ~ cc30(A)
| ~ cc44(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(177581864,plain,
( cc44(A)
| ~ cc46(A) ),
inference(rewrite,[status(thm)],[axiom_148]),
[] ).
fof(axiom_1,plain,
! [A] :
( ( ~ xsd_string(A)
| ~ xsd_integer(A) )
& ( xsd_string(A)
| xsd_integer(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(163058976,plain,
( xsd_string(A)
| xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),
[] ).
cnf(163023360,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(183022480,plain,
( xsd_string(x)
| ~ cc14(iv3102)
| ~ cc216(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,176060816,175120672,177581864,163058976,163023360]),
[] ).
cnf(182230192,plain,
( cc216(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_201]),
[] ).
cnf(197148800,plain,
cc216(iv3102),
inference(resolution,[status(thm)],[182230192,182307632]),
[] ).
cnf(198822448,plain,
( xsd_string(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[197320072,197467864,197199064,183022480,197148800]),
[] ).
cnf(162976880,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(200904208,plain,
xsd_string(x),
inference(resolution,[status(thm)],[198822448,162976880]),
[] ).
cnf(183071512,plain,
( xsd_integer(x)
| ~ cc14(iv3102)
| ~ cc216(iv3102)
| ~ cc46(iv3102)
| ~ cc28(iv3102)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,183022480,176060816,175120672,177581864,163023360]),
[] ).
cnf(198855352,plain,
( xsd_integer(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[197320072,197467864,197199064,183071512,197148800]),
[] ).
cnf(200932336,plain,
xsd_integer(x),
inference(resolution,[status(thm)],[198855352,162976880]),
[] ).
cnf(163094656,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[200904208,200932336,163094656]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_215,plain,(cc12xcomp(iv3102)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182742160,plain,(cc12xcomp(iv3102)),inference(rewrite,[status(thm)],[axiom_215]),[]).
%
% fof(axiom_44,plain,(((cc12xcomp(A)|~cc14(A))&(cc2xcomp(A)|~cc14(A))&(cc14(A)|~cc2xcomp(A)|~cc12xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(167477280,plain,(cc14(A)|~cc2xcomp(A)|~cc12xcomp(A)),inference(rewrite,[status(thm)],[axiom_44]),[]).
%
% fof(axiom_203,plain,(cc2xcomp(iv3102)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182340800,plain,(cc2xcomp(iv3102)),inference(rewrite,[status(thm)],[axiom_203]),[]).
%
% cnf(197320072,plain,(cc14(iv3102)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182742160,167477280,182340800]),[]).
%
% fof(axiom_210,plain,(cc16xcomp(iv3102)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182576608,plain,(cc16xcomp(iv3102)),inference(rewrite,[status(thm)],[axiom_210]),[]).
%
% fof(axiom_131,plain,(((cc26xcomp(A)|~cc28(A))&(cc16xcomp(A)|~cc28(A))&(cc28(A)|~cc16xcomp(A)|~cc26xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(175941984,plain,(cc28(A)|~cc16xcomp(A)|~cc26xcomp(A)),inference(rewrite,[status(thm)],[axiom_131]),[]).
%
% fof(axiom_206,plain,(cc26xcomp(iv3102)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182444480,plain,(cc26xcomp(iv3102)),inference(rewrite,[status(thm)],[axiom_206]),[]).
%
% cnf(197467864,plain,(cc28(iv3102)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182576608,175941984,182444480]),[]).
%
% fof(axiom_201,plain,(((cc46(A)|~ctest(A))&(cc216(A)|~ctest(A))&(ctest(A)|~cc216(A)|~cc46(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182269128,plain,(cc46(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_201]),[]).
%
% fof(axiom_202,plain,(ctest(iv3102)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(182307632,plain,(ctest(iv3102)),inference(rewrite,[status(thm)],[axiom_202]),[]).
%
% cnf(197199064,plain,(cc46(iv3102)),inference(resolution,[status(thm)],[182269128,182307632]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cc14(iv3102)|~cc44(iv3102)|~cc216(iv3102)|~cc64(iv3102)|~cc46(iv3102)|~cc28(iv3102)|~cowlthing(iv3102)|~cc30(iv3102)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cc14(iv3102)|~cc44(iv3102)|~cc216(iv3102)|~cc64(iv3102)|~cc46(iv3102)|~cc28(iv3102)|~cowlthing(iv3102)|~cc30(iv3102)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cc14(iv3102)|~cc44(iv3102)|~cc216(iv3102)|~cc64(iv3102)|~cc46(iv3102)|~cc28(iv3102)|~cowlthing(iv3102)|~cc30(iv3102)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cc14(iv3102)|~cc44(iv3102)|~cc216(iv3102)|~cc64(iv3102)|~cc46(iv3102)|~cc28(iv3102)|~cowlthing(iv3102)|~cc30(iv3102)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% fof(axiom_132,plain,(((cc14(A)|~cc30(A))&(cc28(A)|~cc30(A))&(cc30(A)|~cc28(A)|~cc14(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(176060816,plain,(cc30(A)|~cc28(A)|~cc14(A)),inference(rewrite,[status(thm)],[axiom_132]),[]).
%
% fof(axiom_121,plain,(((cc214xcomp(A)|~cc216(A))&(cc64(A)|~cc216(A))&(cc216(A)|~cc64(A)|~cc214xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(175120672,plain,(cc64(A)|~cc216(A)),inference(rewrite,[status(thm)],[axiom_121]),[]).
%
% fof(axiom_148,plain,(((cc44(A)|~cc46(A))&(cc30(A)|~cc46(A))&(cc46(A)|~cc30(A)|~cc44(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(177581864,plain,(cc44(A)|~cc46(A)),inference(rewrite,[status(thm)],[axiom_148]),[]).
%
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(163058976,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS157+1.tptp',unknown),[]).
%
% cnf(163023360,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(183022480,plain,(xsd_string(x)|~cc14(iv3102)|~cc216(iv3102)|~cc46(iv3102)|~cc28(iv3102)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,176060816,175120672,177581864,163058976,163023360]),[]).
%
% cnf(182230192,plain,(cc216(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_201]),[]).
%
% cnf(197148800,plain,(cc216(iv3102)),inference(resolution,[status(thm)],[182230192,182307632]),[]).
%
% cnf(198822448,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[197320072,197467864,197199064,183022480,197148800]),[]).
%
% cnf(162976880,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(200904208,plain,(xsd_string(x)),inference(resolution,[status(thm)],[198822448,162976880]),[]).
%
% cnf(183071512,plain,(xsd_integer(x)|~cc14(iv3102)|~cc216(iv3102)|~cc46(iv3102)|~cc28(iv3102)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,183022480,176060816,175120672,177581864,163023360]),[]).
%
% cnf(198855352,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[197320072,197467864,197199064,183071512,197148800]),[]).
%
% cnf(200932336,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[198855352,162976880]),[]).
%
% cnf(163094656,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[200904208,200932336,163094656]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------