TSTP Solution File: KRS132+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : KRS132+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 13:28:40 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   73 (  13 unt;   0 def)
%            Number of atoms       :  532 (   0 equ)
%            Maximal formula atoms :  336 (   7 avg)
%            Number of connectives :  717 ( 258   ~; 396   |;  63   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   55 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (  12 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_10,plain,
    ! [A,B] :
      ( ( ~ cnotb(A)
        | ~ rr(A,B)
        | cnothing(B) )
      & ( ~ cnothing(y(A,B))
        | cnotb(A) )
      & ( rr(A,y(A,B))
        | cnotb(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(155044824,plain,
    ( ~ cnotb(A)
    | ~ rr(A,B)
    | cnothing(B) ),
    inference(rewrite,[status(thm)],[axiom_10]),
    [] ).

fof(the_axiom,plain,
    ( ( ~ caorb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_integer(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_integer(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ cb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | ~ ca(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ~ caorb(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( ~ caorb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) )
    & ( cb(x)
      | ca(x)
      | caorb(x)
      | ~ xsd_string(x_nn_1)
      | xsd_string(x_nn_1)
      | ~ cowlthing(x_nn_2)
      | cowlnothing(x_nn_2) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+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/KRS132+1.tptp',unknown),
    [] ).

cnf(154859256,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/KRS132+1.tptp',unknown),
    [] ).

cnf(154852152,plain,
    cowlthing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(155716680,plain,
    ( ~ caorb(x)
    | ~ ca(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),
    [] ).

cnf(155765840,plain,
    ( ~ caorb(x)
    | ~ ca(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155716680,154852152]),
    [] ).

cnf(154843072,plain,
    ~ cowlnothing(A),
    inference(rewrite,[status(thm)],[axiom_0]),
    [] ).

cnf(187799032,plain,
    ( ~ caorb(x)
    | ~ ca(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[155765840,154843072]),
    [] ).

cnf(187777672,plain,
    ( ~ caorb(x)
    | ~ ca(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[155716680,154843072]),
    [] ).

cnf(154870512,plain,
    ( ~ xsd_string(A)
    | ~ xsd_integer(A) ),
    inference(rewrite,[status(thm)],[axiom_1]),
    [] ).

cnf(188180760,plain,
    ( ~ caorb(x)
    | ~ ca(x) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[187799032,187777672,154870512]),
    [] ).

fof(axiom_2,plain,
    ! [A,C] :
      ( ( cowlthing(y_nn_1(A))
        | ~ ca(A) )
      & ( rq(A,y_nn_1(A))
        | ~ ca(A) )
      & ( ca(A)
        | ~ rq(A,C)
        | ~ cowlthing(C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154876976,plain,
    ( ca(A)
    | ~ rq(A,C) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_2,154852152]),
    [] ).

fof(axiom_7,plain,
    ! [A,B] :
      ( ( ~ cnota(A)
        | ~ rq(A,B)
        | cnothing(B) )
      & ( ~ cnothing(y(A,B))
        | cnota(A) )
      & ( rq(A,y(A,B))
        | cnota(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154943352,plain,
    ( rq(A,y(A,B))
    | cnota(A) ),
    inference(rewrite,[status(thm)],[axiom_7]),
    [] ).

cnf(187837136,plain,
    ( ca(A)
    | cnota(A) ),
    inference(resolution,[status(thm)],[154876976,154943352]),
    [] ).

cnf(188242672,plain,
    ( ~ caorb(x)
    | cnota(x) ),
    inference(resolution,[status(thm)],[188180760,187837136]),
    [] ).

fof(axiom_3,plain,
    ! [A,C] :
      ( ( cowlthing(y_nn_1(A))
        | ~ caorb(A) )
      & ( rs(A,y_nn_1(A))
        | ~ caorb(A) )
      & ( caorb(A)
        | ~ rs(A,C)
        | ~ cowlthing(C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154895392,plain,
    ( caorb(A)
    | ~ rs(A,C) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,154852152]),
    [] ).

fof(axiom_8,plain,
    ! [A,B] :
      ( ( ~ cnotaorb(A)
        | ~ rs(A,B)
        | cnothing(B) )
      & ( ~ cnothing(y(A,B))
        | cnotaorb(A) )
      & ( rs(A,y(A,B))
        | cnotaorb(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154973040,plain,
    ( rs(A,y(A,B))
    | cnotaorb(A) ),
    inference(rewrite,[status(thm)],[axiom_8]),
    [] ).

cnf(187847496,plain,
    ( caorb(A)
    | cnotaorb(A) ),
    inference(resolution,[status(thm)],[154895392,154973040]),
    [] ).

fof(axiom_9,plain,
    ! [A] :
      ( ( cnota(A)
        | ~ cnotaorb(A) )
      & ( cnotb(A)
        | ~ cnotaorb(A) )
      & ( cnotaorb(A)
        | ~ cnotb(A)
        | ~ cnota(A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(155019280,plain,
    ( cnota(A)
    | ~ cnotaorb(A) ),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

cnf(187859888,plain,
    ( caorb(A)
    | cnota(A) ),
    inference(resolution,[status(thm)],[187847496,155019280]),
    [] ).

cnf(188321872,plain,
    cnota(x),
    inference(resolution,[status(thm)],[188242672,187859888]),
    [] ).

cnf(155001032,plain,
    ( cnotaorb(A)
    | ~ cnotb(A)
    | ~ cnota(A) ),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

fof(axiom_4,plain,
    ! [A,C] :
      ( ( cowlthing(y_nn_1(A))
        | ~ cb(A) )
      & ( rr(A,y_nn_1(A))
        | ~ cb(A) )
      & ( cb(A)
        | ~ rr(A,C)
        | ~ cowlthing(C) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154913696,plain,
    ( cb(A)
    | ~ rr(A,C) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_4,154852152]),
    [] ).

cnf(155025560,plain,
    ( rr(A,y(A,B))
    | cnotb(A) ),
    inference(rewrite,[status(thm)],[axiom_10]),
    [] ).

cnf(187870304,plain,
    ( cb(A)
    | cnotb(A) ),
    inference(resolution,[status(thm)],[154913696,155025560]),
    [] ).

cnf(187957632,plain,
    ( cnotaorb(A)
    | ~ cnota(A)
    | cb(A) ),
    inference(resolution,[status(thm)],[155001032,187870304]),
    [] ).

cnf(188336944,plain,
    ( cnotaorb(x)
    | cb(x) ),
    inference(resolution,[status(thm)],[188321872,187957632]),
    [] ).

cnf(155008144,plain,
    ( cnotb(A)
    | ~ cnotaorb(A) ),
    inference(rewrite,[status(thm)],[axiom_9]),
    [] ).

cnf(188354448,plain,
    ( cb(x)
    | cnotb(x) ),
    inference(resolution,[status(thm)],[188336944,155008144]),
    [] ).

cnf(155740000,plain,
    ( ~ caorb(x)
    | ~ cb(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),
    [] ).

cnf(155784008,plain,
    ( ~ caorb(x)
    | ~ cb(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155740000,154852152]),
    [] ).

cnf(187804064,plain,
    ( ~ caorb(x)
    | ~ cb(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[155784008,154843072]),
    [] ).

cnf(187782888,plain,
    ( ~ caorb(x)
    | ~ cb(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[155740000,154843072]),
    [] ).

cnf(188583456,plain,
    ( ~ caorb(x)
    | ~ cb(x) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[187804064,187782888,154870512]),
    [] ).

cnf(187853720,plain,
    ( caorb(A)
    | cnotb(A) ),
    inference(resolution,[status(thm)],[187847496,155008144]),
    [] ).

cnf(188653984,plain,
    cnotb(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[188354448,188583456,187853720]),
    [] ).

cnf(189536824,plain,
    ( ~ rr(x,A)
    | cnothing(A) ),
    inference(resolution,[status(thm)],[155044824,188653984]),
    [] ).

cnf(154836112,plain,
    ( ~ cnotaorb(A)
    | ~ rs(A,B)
    | cnothing(B) ),
    inference(rewrite,[status(thm)],[axiom_8]),
    [] ).

cnf(188644880,plain,
    cnotaorb(x),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[188336944,188583456,187847496]),
    [] ).

cnf(189125152,plain,
    ( ~ rs(x,A)
    | cnothing(A) ),
    inference(resolution,[status(thm)],[154836112,188644880]),
    [] ).

fof(axiom_6,plain,
    ! [A,B] :
      ( ~ cnothing(A)
      | ~ rp(A,B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154937616,plain,
    ( ~ cnothing(A)
    | ~ rp(A,B) ),
    inference(rewrite,[status(thm)],[axiom_6]),
    [] ).

fof(axiom_5,plain,
    ! [A] :
      ( ~ cnothing(A)
      | rp(A,y0(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),
    [] ).

cnf(154927864,plain,
    ( ~ cnothing(A)
    | rp(A,y0(A)) ),
    inference(rewrite,[status(thm)],[axiom_5]),
    [] ).

cnf(187938840,plain,
    ~ cnothing(A),
    inference(resolution,[status(thm)],[154937616,154927864]),
    [] ).

cnf(189144296,plain,
    ~ rs(x,A),
    inference(resolution,[status(thm)],[189125152,187938840]),
    [] ).

cnf(154962776,plain,
    ( ~ cnota(A)
    | ~ rq(A,B)
    | cnothing(B) ),
    inference(rewrite,[status(thm)],[axiom_7]),
    [] ).

cnf(188839008,plain,
    ( ~ rq(x,A)
    | cnothing(A) ),
    inference(resolution,[status(thm)],[154962776,188321872]),
    [] ).

cnf(188853224,plain,
    ~ rq(x,A),
    inference(resolution,[status(thm)],[188839008,187938840]),
    [] ).

cnf(154884344,plain,
    ( rq(A,y_nn_1(A))
    | ~ ca(A) ),
    inference(rewrite,[status(thm)],[axiom_2]),
    [] ).

cnf(188880080,plain,
    ~ ca(x),
    inference(resolution,[status(thm)],[188853224,154884344]),
    [] ).

cnf(155691040,plain,
    ( cb(x)
    | ca(x)
    | caorb(x)
    | xsd_string(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),
    [] ).

cnf(155751384,plain,
    ( cb(x)
    | ca(x)
    | caorb(x)
    | xsd_integer(x_nn_1)
    | cowlnothing(x_nn_2) ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155691040,154852152]),
    [] ).

cnf(187789904,plain,
    ( cb(x)
    | ca(x)
    | caorb(x)
    | xsd_integer(x_nn_1) ),
    inference(resolution,[status(thm)],[155751384,154843072]),
    [] ).

cnf(187768352,plain,
    ( cb(x)
    | ca(x)
    | caorb(x)
    | xsd_string(x_nn_1) ),
    inference(resolution,[status(thm)],[155691040,154843072]),
    [] ).

cnf(188054136,plain,
    ( cb(x)
    | ca(x)
    | caorb(x) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[187789904,187768352,154870512]),
    [] ).

cnf(188888288,plain,
    ( cb(x)
    | caorb(x) ),
    inference(resolution,[status(thm)],[188880080,188054136]),
    [] ).

cnf(154902680,plain,
    ( rs(A,y_nn_1(A))
    | ~ caorb(A) ),
    inference(rewrite,[status(thm)],[axiom_3]),
    [] ).

cnf(188897232,plain,
    ( cb(x)
    | rs(x,y_nn_1(x)) ),
    inference(resolution,[status(thm)],[188888288,154902680]),
    [] ).

cnf(189197672,plain,
    cb(x),
    inference(resolution,[status(thm)],[189144296,188897232]),
    [] ).

cnf(154836504,plain,
    ( rr(A,y_nn_1(A))
    | ~ cb(A) ),
    inference(rewrite,[status(thm)],[axiom_4]),
    [] ).

cnf(189207576,plain,
    rr(x,y_nn_1(x)),
    inference(resolution,[status(thm)],[189197672,154836504]),
    [] ).

cnf(189560312,plain,
    cnothing(y_nn_1(x)),
    inference(resolution,[status(thm)],[189536824,189207576]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[189560312,187938840]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_10,plain,(((~cnotb(A)|~rr(A,B)|cnothing(B))&(~cnothing(y(A,B))|cnotb(A))&(rr(A,y(A,B))|cnotb(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(155044824,plain,(~cnotb(A)|~rr(A,B)|cnothing(B)),inference(rewrite,[status(thm)],[axiom_10]),[]).
% 
% fof(the_axiom,plain,(((~caorb(x)|~caorb(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|caorb(x)|~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~cb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|~ca(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|~caorb(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|~caorb(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~caorb(x)|ca(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(cb(x)|ca(x)|caorb(x)|~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+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/KRS132+1.tptp',unknown),[]).
% 
% cnf(154859256,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/KRS132+1.tptp',unknown),[]).
% 
% cnf(154852152,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(155716680,plain,(~caorb(x)|~ca(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),[]).
% 
% cnf(155765840,plain,(~caorb(x)|~ca(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155716680,154852152]),[]).
% 
% cnf(154843072,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
% 
% cnf(187799032,plain,(~caorb(x)|~ca(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[155765840,154843072]),[]).
% 
% cnf(187777672,plain,(~caorb(x)|~ca(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[155716680,154843072]),[]).
% 
% cnf(154870512,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
% 
% cnf(188180760,plain,(~caorb(x)|~ca(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187799032,187777672,154870512]),[]).
% 
% fof(axiom_2,plain,(((cowlthing(y_nn_1(A))|~ca(A))&(rq(A,y_nn_1(A))|~ca(A))&(ca(A)|~rq(A,C)|~cowlthing(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154876976,plain,(ca(A)|~rq(A,C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_2,154852152]),[]).
% 
% fof(axiom_7,plain,(((~cnota(A)|~rq(A,B)|cnothing(B))&(~cnothing(y(A,B))|cnota(A))&(rq(A,y(A,B))|cnota(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154943352,plain,(rq(A,y(A,B))|cnota(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
% 
% cnf(187837136,plain,(ca(A)|cnota(A)),inference(resolution,[status(thm)],[154876976,154943352]),[]).
% 
% cnf(188242672,plain,(~caorb(x)|cnota(x)),inference(resolution,[status(thm)],[188180760,187837136]),[]).
% 
% fof(axiom_3,plain,(((cowlthing(y_nn_1(A))|~caorb(A))&(rs(A,y_nn_1(A))|~caorb(A))&(caorb(A)|~rs(A,C)|~cowlthing(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154895392,plain,(caorb(A)|~rs(A,C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_3,154852152]),[]).
% 
% fof(axiom_8,plain,(((~cnotaorb(A)|~rs(A,B)|cnothing(B))&(~cnothing(y(A,B))|cnotaorb(A))&(rs(A,y(A,B))|cnotaorb(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154973040,plain,(rs(A,y(A,B))|cnotaorb(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
% 
% cnf(187847496,plain,(caorb(A)|cnotaorb(A)),inference(resolution,[status(thm)],[154895392,154973040]),[]).
% 
% fof(axiom_9,plain,(((cnota(A)|~cnotaorb(A))&(cnotb(A)|~cnotaorb(A))&(cnotaorb(A)|~cnotb(A)|~cnota(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(155019280,plain,(cnota(A)|~cnotaorb(A)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% cnf(187859888,plain,(caorb(A)|cnota(A)),inference(resolution,[status(thm)],[187847496,155019280]),[]).
% 
% cnf(188321872,plain,(cnota(x)),inference(resolution,[status(thm)],[188242672,187859888]),[]).
% 
% cnf(155001032,plain,(cnotaorb(A)|~cnotb(A)|~cnota(A)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% fof(axiom_4,plain,(((cowlthing(y_nn_1(A))|~cb(A))&(rr(A,y_nn_1(A))|~cb(A))&(cb(A)|~rr(A,C)|~cowlthing(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154913696,plain,(cb(A)|~rr(A,C)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_4,154852152]),[]).
% 
% cnf(155025560,plain,(rr(A,y(A,B))|cnotb(A)),inference(rewrite,[status(thm)],[axiom_10]),[]).
% 
% cnf(187870304,plain,(cb(A)|cnotb(A)),inference(resolution,[status(thm)],[154913696,155025560]),[]).
% 
% cnf(187957632,plain,(cnotaorb(A)|~cnota(A)|cb(A)),inference(resolution,[status(thm)],[155001032,187870304]),[]).
% 
% cnf(188336944,plain,(cnotaorb(x)|cb(x)),inference(resolution,[status(thm)],[188321872,187957632]),[]).
% 
% cnf(155008144,plain,(cnotb(A)|~cnotaorb(A)),inference(rewrite,[status(thm)],[axiom_9]),[]).
% 
% cnf(188354448,plain,(cb(x)|cnotb(x)),inference(resolution,[status(thm)],[188336944,155008144]),[]).
% 
% cnf(155740000,plain,(~caorb(x)|~cb(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),[]).
% 
% cnf(155784008,plain,(~caorb(x)|~cb(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155740000,154852152]),[]).
% 
% cnf(187804064,plain,(~caorb(x)|~cb(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[155784008,154843072]),[]).
% 
% cnf(187782888,plain,(~caorb(x)|~cb(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[155740000,154843072]),[]).
% 
% cnf(188583456,plain,(~caorb(x)|~cb(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187804064,187782888,154870512]),[]).
% 
% cnf(187853720,plain,(caorb(A)|cnotb(A)),inference(resolution,[status(thm)],[187847496,155008144]),[]).
% 
% cnf(188653984,plain,(cnotb(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[188354448,188583456,187853720]),[]).
% 
% cnf(189536824,plain,(~rr(x,A)|cnothing(A)),inference(resolution,[status(thm)],[155044824,188653984]),[]).
% 
% cnf(154836112,plain,(~cnotaorb(A)|~rs(A,B)|cnothing(B)),inference(rewrite,[status(thm)],[axiom_8]),[]).
% 
% cnf(188644880,plain,(cnotaorb(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[188336944,188583456,187847496]),[]).
% 
% cnf(189125152,plain,(~rs(x,A)|cnothing(A)),inference(resolution,[status(thm)],[154836112,188644880]),[]).
% 
% fof(axiom_6,plain,(~cnothing(A)|~rp(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154937616,plain,(~cnothing(A)|~rp(A,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
% 
% fof(axiom_5,plain,(~cnothing(A)|rp(A,y0(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS132+1.tptp',unknown),[]).
% 
% cnf(154927864,plain,(~cnothing(A)|rp(A,y0(A))),inference(rewrite,[status(thm)],[axiom_5]),[]).
% 
% cnf(187938840,plain,(~cnothing(A)),inference(resolution,[status(thm)],[154937616,154927864]),[]).
% 
% cnf(189144296,plain,(~rs(x,A)),inference(resolution,[status(thm)],[189125152,187938840]),[]).
% 
% cnf(154962776,plain,(~cnota(A)|~rq(A,B)|cnothing(B)),inference(rewrite,[status(thm)],[axiom_7]),[]).
% 
% cnf(188839008,plain,(~rq(x,A)|cnothing(A)),inference(resolution,[status(thm)],[154962776,188321872]),[]).
% 
% cnf(188853224,plain,(~rq(x,A)),inference(resolution,[status(thm)],[188839008,187938840]),[]).
% 
% cnf(154884344,plain,(rq(A,y_nn_1(A))|~ca(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
% 
% cnf(188880080,plain,(~ca(x)),inference(resolution,[status(thm)],[188853224,154884344]),[]).
% 
% cnf(155691040,plain,(cb(x)|ca(x)|caorb(x)|xsd_string(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154859256,154852152]),[]).
% 
% cnf(155751384,plain,(cb(x)|ca(x)|caorb(x)|xsd_integer(x_nn_1)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,155691040,154852152]),[]).
% 
% cnf(187789904,plain,(cb(x)|ca(x)|caorb(x)|xsd_integer(x_nn_1)),inference(resolution,[status(thm)],[155751384,154843072]),[]).
% 
% cnf(187768352,plain,(cb(x)|ca(x)|caorb(x)|xsd_string(x_nn_1)),inference(resolution,[status(thm)],[155691040,154843072]),[]).
% 
% cnf(188054136,plain,(cb(x)|ca(x)|caorb(x)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187789904,187768352,154870512]),[]).
% 
% cnf(188888288,plain,(cb(x)|caorb(x)),inference(resolution,[status(thm)],[188880080,188054136]),[]).
% 
% cnf(154902680,plain,(rs(A,y_nn_1(A))|~caorb(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
% 
% cnf(188897232,plain,(cb(x)|rs(x,y_nn_1(x))),inference(resolution,[status(thm)],[188888288,154902680]),[]).
% 
% cnf(189197672,plain,(cb(x)),inference(resolution,[status(thm)],[189144296,188897232]),[]).
% 
% cnf(154836504,plain,(rr(A,y_nn_1(A))|~cb(A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
% 
% cnf(189207576,plain,(rr(x,y_nn_1(x))),inference(resolution,[status(thm)],[189197672,154836504]),[]).
% 
% cnf(189560312,plain,(cnothing(y_nn_1(x))),inference(resolution,[status(thm)],[189536824,189207576]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[189560312,187938840]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------