%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS160+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 13:30:16 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 105 ( 45 ~; 51 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_20,plain,
cc2(iv21081),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
cnf(162541168,plain,
cc2(iv21081),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( cc2(A)
| ~ cc10(A) )
& ( cc4(A)
| ~ cc10(A) )
& ( cc10(A)
| ~ cc4(A)
| ~ cc2(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
cnf(162254056,plain,
( cc10(A)
| ~ cc4(A)
| ~ cc2(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_18,plain,
cc4(iv21081),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
cnf(162527576,plain,
cc4(iv21081),
inference(rewrite,[status(thm)],[axiom_18]),
[] ).
cnf(173365920,plain,
cc10(iv21081),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162541168,162254056,162527576]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cowlthing(iv21080)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| ~ cowlthing(iv21081)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
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/KRS160+1.tptp',unknown),
[] ).
cnf(162234408,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/KRS160+1.tptp',unknown),
[] ).
cnf(162227112,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(162685744,plain,
( xsd_string(x)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,162234408,162227112]),
[] ).
fof(axiom_12,plain,
! [A] :
( ( cc12(A)
| ~ ctest(A) )
& ( cc8xcomp(A)
| ~ ctest(A) )
& ( ctest(A)
| ~ cc8xcomp(A)
| ~ cc12(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
cnf(162492992,plain,
( cc12(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
fof(axiom_13,plain,
ctest(iv21080),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),
[] ).
cnf(162501936,plain,
ctest(iv21080),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(173341984,plain,
cc12(iv21080),
inference(resolution,[status(thm)],[162492992,162501936]),
[] ).
cnf(173455352,plain,
( xsd_string(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173365920,162685744,173341984]),
[] ).
cnf(162217744,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(173614960,plain,
xsd_string(x),
inference(resolution,[status(thm)],[173455352,162217744]),
[] ).
cnf(162245856,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(162696696,plain,
( xsd_integer(x)
| ~ cc12(iv21080)
| ~ cc10(iv21081)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,162685744,162227112]),
[] ).
cnf(173454264,plain,
( xsd_integer(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173365920,162696696,173341984]),
[] ).
cnf(173609672,plain,
xsd_integer(x),
inference(resolution,[status(thm)],[173454264,162217744]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173614960,162245856,173609672]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_20,plain,(cc2(iv21081)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% cnf(162541168,plain,(cc2(iv21081)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% fof(axiom_2,plain,(((cc2(A)|~cc10(A))&(cc4(A)|~cc10(A))&(cc10(A)|~cc4(A)|~cc2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% cnf(162254056,plain,(cc10(A)|~cc4(A)|~cc2(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_18,plain,(cc4(iv21081)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% cnf(162527576,plain,(cc4(iv21081)),inference(rewrite,[status(thm)],[axiom_18]),[]).
%
% cnf(173365920,plain,(cc10(iv21081)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162541168,162254056,162527576]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cowlthing(iv21080)|~cc12(iv21080)|~cc10(iv21081)|~cowlthing(iv21081)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% 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/KRS160+1.tptp',unknown),[]).
%
% cnf(162234408,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/KRS160+1.tptp',unknown),[]).
%
% cnf(162227112,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(162685744,plain,(xsd_string(x)|~cc12(iv21080)|~cc10(iv21081)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,162234408,162227112]),[]).
%
% fof(axiom_12,plain,(((cc12(A)|~ctest(A))&(cc8xcomp(A)|~ctest(A))&(ctest(A)|~cc8xcomp(A)|~cc12(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% cnf(162492992,plain,(cc12(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% fof(axiom_13,plain,(ctest(iv21080)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS160+1.tptp',unknown),[]).
%
% cnf(162501936,plain,(ctest(iv21080)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(173341984,plain,(cc12(iv21080)),inference(resolution,[status(thm)],[162492992,162501936]),[]).
%
% cnf(173455352,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173365920,162685744,173341984]),[]).
%
% cnf(162217744,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(173614960,plain,(xsd_string(x)),inference(resolution,[status(thm)],[173455352,162217744]),[]).
%
% cnf(162245856,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(162696696,plain,(xsd_integer(x)|~cc12(iv21080)|~cc10(iv21081)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,162685744,162227112]),[]).
%
% cnf(173454264,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173365920,162696696,173341984]),[]).
%
% cnf(173609672,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[173454264,162217744]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173614960,162245856,173609672]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------