%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS158+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 13:30:09 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 211 ( 94 ~; 102 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
! [A] :
( ( cc8(A)
| ~ cc16(A) )
& ( cc14(A)
| ~ cc16(A) )
& ( cc16(A)
| ~ cc14(A)
| ~ cc8(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146283728,plain,
( cc8(A)
| ~ cc16(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_8,plain,
! [A] :
( ( cc16(A)
| ~ cc18(A) )
& ( ctop(A)
| ~ cc18(A) )
& ( cc18(A)
| ~ ctop(A)
| ~ cc16(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146315312,plain,
( cc16(A)
| ~ cc18(A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_16,plain,
! [A] :
( ( cc18(A)
| ~ ctest(A) )
& ( ctop(A)
| ~ ctest(A) )
& ( ctest(A)
| ~ ctop(A)
| ~ cc18(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146496264,plain,
( cc18(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_16]),
[] ).
fof(axiom_18,plain,
ctest(iv16560),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146504952,plain,
ctest(iv16560),
inference(rewrite,[status(thm)],[axiom_18]),
[] ).
cnf(157511168,plain,
cc18(iv16560),
inference(resolution,[status(thm)],[146496264,146504952]),
[] ).
cnf(157689688,plain,
cc16(iv16560),
inference(resolution,[status(thm)],[146315312,157511168]),
[] ).
cnf(157747680,plain,
cc8(iv16560),
inference(resolution,[status(thm)],[146283728,157689688]),
[] ).
fof(axiom_28,plain,
cc10xcomp(iv16562),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146559152,plain,
cc10xcomp(iv16562),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
fof(axiom_5,plain,
! [A] :
( ( cc2xcomp(A)
| ~ cc12(A) )
& ( cc10xcomp(A)
| ~ cc12(A) )
& ( cc12(A)
| ~ cc10xcomp(A)
| ~ cc2xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146203624,plain,
( cc12(A)
| ~ cc10xcomp(A)
| ~ cc2xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_29,plain,
cc2xcomp(iv16562),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146572160,plain,
cc2xcomp(iv16562),
inference(rewrite,[status(thm)],[axiom_29]),
[] ).
cnf(157635352,plain,
cc12(iv16562),
inference(forward_subsumption_resolution__resolution,[status(thm)],[146559152,146203624,146572160]),
[] ).
fof(axiom_25,plain,
cc2xcomp(iv16561),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146544432,plain,
cc2xcomp(iv16561),
inference(rewrite,[status(thm)],[axiom_25]),
[] ).
fof(axiom_14,plain,
! [A] :
( ( cc2xcomp(A)
| ~ cc6(A) )
& ( cc4xcomp(A)
| ~ cc6(A) )
& ( cc6(A)
| ~ cc4xcomp(A)
| ~ cc2xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146427552,plain,
( cc6(A)
| ~ cc4xcomp(A)
| ~ cc2xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(axiom_24,plain,
cc4xcomp(iv16561),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146539616,plain,
cc4xcomp(iv16561),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(157535688,plain,
cc6(iv16561),
inference(forward_subsumption_resolution__resolution,[status(thm)],[146544432,146427552,146539616]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc16(iv16560)
| ~ cowlthing(iv16560)
| ~ cc6(iv16561)
| ~ cowlthing(iv16561)
| ~ cc12(iv16562)
| ~ cowlthing(iv16562)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc16(iv16560)
| ~ cowlthing(iv16560)
| ~ cc6(iv16561)
| ~ cowlthing(iv16561)
| ~ cc12(iv16562)
| ~ cowlthing(iv16562)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc16(iv16560)
| ~ cowlthing(iv16560)
| ~ cc6(iv16561)
| ~ cowlthing(iv16561)
| ~ cc12(iv16562)
| ~ cowlthing(iv16562)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc16(iv16560)
| ~ cowlthing(iv16560)
| ~ cc6(iv16561)
| ~ cowlthing(iv16561)
| ~ cc12(iv16562)
| ~ cowlthing(iv16562)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),
[] ).
cnf(146082488,plain,
( cc16(A)
| ~ cc14(A)
| ~ cc8(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
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/KRS158+1.tptp',unknown),
[] ).
cnf(146110808,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/KRS158+1.tptp',unknown),
[] ).
cnf(146099200,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(146769232,plain,
( xsd_string(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc6(iv16561)
| ~ cc12(iv16562)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,146082488,146110808,146099200]),
[] ).
cnf(146794208,plain,
( xsd_integer(x)
| ~ cc18(iv16560)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| ~ cc6(iv16561)
| ~ cc12(iv16562)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,146769232,146082488,146099200]),
[] ).
cnf(157714712,plain,
( xsd_integer(x)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157635352,157535688,146794208,157511168]),
[] ).
cnf(146276168,plain,
( cc14(A)
| ~ cc16(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(157737904,plain,
cc14(iv16560),
inference(resolution,[status(thm)],[146276168,157689688]),
[] ).
cnf(165613944,plain,
( xsd_integer(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157747680,157714712,157737904]),
[] ).
cnf(146085392,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(165623336,plain,
xsd_integer(x),
inference(resolution,[status(thm)],[165613944,146085392]),
[] ).
cnf(157700760,plain,
( xsd_string(x)
| ~ cc14(iv16560)
| ~ cc8(iv16560)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157635352,157535688,146769232,157511168]),
[] ).
cnf(165602088,plain,
( xsd_string(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157747680,157700760,157737904]),
[] ).
cnf(165607376,plain,
xsd_string(x),
inference(resolution,[status(thm)],[165602088,146085392]),
[] ).
cnf(146118392,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165623336,165607376,146118392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(((cc8(A)|~cc16(A))&(cc14(A)|~cc16(A))&(cc16(A)|~cc14(A)|~cc8(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146283728,plain,(cc8(A)|~cc16(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_8,plain,(((cc16(A)|~cc18(A))&(ctop(A)|~cc18(A))&(cc18(A)|~ctop(A)|~cc16(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146315312,plain,(cc16(A)|~cc18(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_16,plain,(((cc18(A)|~ctest(A))&(ctop(A)|~ctest(A))&(ctest(A)|~ctop(A)|~cc18(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146496264,plain,(cc18(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_16]),[]).
%
% fof(axiom_18,plain,(ctest(iv16560)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146504952,plain,(ctest(iv16560)),inference(rewrite,[status(thm)],[axiom_18]),[]).
%
% cnf(157511168,plain,(cc18(iv16560)),inference(resolution,[status(thm)],[146496264,146504952]),[]).
%
% cnf(157689688,plain,(cc16(iv16560)),inference(resolution,[status(thm)],[146315312,157511168]),[]).
%
% cnf(157747680,plain,(cc8(iv16560)),inference(resolution,[status(thm)],[146283728,157689688]),[]).
%
% fof(axiom_28,plain,(cc10xcomp(iv16562)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146559152,plain,(cc10xcomp(iv16562)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% fof(axiom_5,plain,(((cc2xcomp(A)|~cc12(A))&(cc10xcomp(A)|~cc12(A))&(cc12(A)|~cc10xcomp(A)|~cc2xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146203624,plain,(cc12(A)|~cc10xcomp(A)|~cc2xcomp(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_29,plain,(cc2xcomp(iv16562)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146572160,plain,(cc2xcomp(iv16562)),inference(rewrite,[status(thm)],[axiom_29]),[]).
%
% cnf(157635352,plain,(cc12(iv16562)),inference(forward_subsumption_resolution__resolution,[status(thm)],[146559152,146203624,146572160]),[]).
%
% fof(axiom_25,plain,(cc2xcomp(iv16561)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146544432,plain,(cc2xcomp(iv16561)),inference(rewrite,[status(thm)],[axiom_25]),[]).
%
% fof(axiom_14,plain,(((cc2xcomp(A)|~cc6(A))&(cc4xcomp(A)|~cc6(A))&(cc6(A)|~cc4xcomp(A)|~cc2xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146427552,plain,(cc6(A)|~cc4xcomp(A)|~cc2xcomp(A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(axiom_24,plain,(cc4xcomp(iv16561)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146539616,plain,(cc4xcomp(iv16561)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(157535688,plain,(cc6(iv16561)),inference(forward_subsumption_resolution__resolution,[status(thm)],[146544432,146427552,146539616]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc16(iv16560)|~cowlthing(iv16560)|~cc6(iv16561)|~cowlthing(iv16561)|~cc12(iv16562)|~cowlthing(iv16562)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc16(iv16560)|~cowlthing(iv16560)|~cc6(iv16561)|~cowlthing(iv16561)|~cc12(iv16562)|~cowlthing(iv16562)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc16(iv16560)|~cowlthing(iv16560)|~cc6(iv16561)|~cowlthing(iv16561)|~cc12(iv16562)|~cowlthing(iv16562)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc16(iv16560)|~cowlthing(iv16560)|~cc6(iv16561)|~cowlthing(iv16561)|~cc12(iv16562)|~cowlthing(iv16562)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS158+1.tptp',unknown),[]).
%
% cnf(146082488,plain,(cc16(A)|~cc14(A)|~cc8(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% 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/KRS158+1.tptp',unknown),[]).
%
% cnf(146110808,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/KRS158+1.tptp',unknown),[]).
%
% cnf(146099200,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(146769232,plain,(xsd_string(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc6(iv16561)|~cc12(iv16562)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,146082488,146110808,146099200]),[]).
%
% cnf(146794208,plain,(xsd_integer(x)|~cc18(iv16560)|~cc14(iv16560)|~cc8(iv16560)|~cc6(iv16561)|~cc12(iv16562)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,146769232,146082488,146099200]),[]).
%
% cnf(157714712,plain,(xsd_integer(x)|~cc14(iv16560)|~cc8(iv16560)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157635352,157535688,146794208,157511168]),[]).
%
% cnf(146276168,plain,(cc14(A)|~cc16(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(157737904,plain,(cc14(iv16560)),inference(resolution,[status(thm)],[146276168,157689688]),[]).
%
% cnf(165613944,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157747680,157714712,157737904]),[]).
%
% cnf(146085392,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(165623336,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[165613944,146085392]),[]).
%
% cnf(157700760,plain,(xsd_string(x)|~cc14(iv16560)|~cc8(iv16560)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157635352,157535688,146769232,157511168]),[]).
%
% cnf(165602088,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[157747680,157700760,157737904]),[]).
%
% cnf(165607376,plain,(xsd_string(x)),inference(resolution,[status(thm)],[165602088,146085392]),[]).
%
% cnf(146118392,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[165623336,165607376,146118392]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------