TSTP Solution File: KRS149+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:39:27 EDT 2023

% Result   : Theorem 2.19s 2.27s
% Output   : CNFRefutation 2.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 01:21:14 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 2.19/2.24  %-------------------------------------------
% 2.19/2.24  % File        :CSE---1.6
% 2.19/2.24  % Problem     :theBenchmark
% 2.19/2.24  % Transform   :cnf
% 2.19/2.24  % Format      :tptp:raw
% 2.19/2.24  % Command     :java -jar mcs_scs.jar %d %s
% 2.19/2.24  
% 2.19/2.24  % Result      :Theorem 1.590000s
% 2.19/2.24  % Output      :CNFRefutation 1.590000s
% 2.19/2.24  %-------------------------------------------
% 2.19/2.24  %------------------------------------------------------------------------------
% 2.19/2.24  % File     : KRS149+1 : TPTP v8.1.2. Released v3.1.0.
% 2.19/2.24  % Domain   : Knowledge Representation (Semantic Web)
% 2.19/2.24  % Problem  : DL Test: k_grz ABox test from DL98 systems comparison
% 2.19/2.24  % Version  : Especial.
% 2.19/2.24  % English  :
% 2.19/2.24  
% 2.19/2.24  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 2.19/2.24  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 2.19/2.24  % Source   : [Bec03]
% 2.19/2.24  % Names    : positive_description-logic-Manifest204 [Bec03]
% 2.19/2.24  
% 2.19/2.24  % Status   : Theorem
% 2.19/2.24  % Rating   : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.13 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.00 v3.2.0, 0.11 v3.1.0
% 2.19/2.24  % Syntax   : Number of formulae    :  126 (  12 unt;   0 def)
% 2.19/2.24  %            Number of atoms       :  356 (   0 equ)
% 2.19/2.24  %            Maximal formula atoms :   12 (   2 avg)
% 2.19/2.24  %            Number of connectives :  322 (  92   ~;   0   |; 117   &)
% 2.19/2.24  %                                         ( 108 <=>;   5  =>;   0  <=;   0 <~>)
% 2.19/2.24  %            Maximal formula depth :   10 (   5 avg)
% 2.19/2.24  %            Maximal term depth    :    1 (   1 avg)
% 2.19/2.24  %            Number of predicates  :  115 ( 115 usr;   0 prp; 1-2 aty)
% 2.19/2.24  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 2.19/2.24  %            Number of variables   :  169 ( 115   !;  54   ?)
% 2.19/2.24  % SPC      : FOF_THM_RFO_NEQ
% 2.19/2.24  
% 2.19/2.24  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 2.19/2.24  %            datatypes, so this problem may not be perfect. At least it's
% 2.19/2.24  %            still representative of the type of reasoning required for OWL.
% 2.19/2.24  %------------------------------------------------------------------------------
% 2.19/2.24  %----Thing and Nothing
% 2.19/2.24  fof(axiom_0,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cowlThing(X)
% 2.19/2.24        & ~ cowlNothing(X) ) ).
% 2.19/2.24  
% 2.19/2.24  %----String and Integer disjoint
% 2.19/2.24  fof(axiom_1,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( xsd_string(X)
% 2.19/2.24      <=> ~ xsd_integer(X) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC10
% 2.19/2.24  fof(axiom_2,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC10(X)
% 2.19/2.24      <=> ( ~ cC8(X)
% 2.19/2.24          & ~ cC2(X) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC100
% 2.19/2.24  fof(axiom_3,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC100(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & ~ cC98(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC102
% 2.19/2.24  fof(axiom_4,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC102(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & ~ cC16(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC104
% 2.19/2.24  fof(axiom_5,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC104(X)
% 2.19/2.24      <=> ( cC102(X)
% 2.19/2.24          & cC16(X) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC106
% 2.19/2.24  fof(axiom_6,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC106(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & cC104(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC108
% 2.19/2.24  fof(axiom_7,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC108(X)
% 2.19/2.24      <=> ( ~ cC106(X)
% 2.19/2.24          & ~ cC16(X) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC110
% 2.19/2.24  fof(axiom_8,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC110(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & ~ cC16(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC112
% 2.19/2.24  fof(axiom_9,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC112(X)
% 2.19/2.24      <=> ( cC110(X)
% 2.19/2.24          & cC16(X) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC114
% 2.19/2.24  fof(axiom_10,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC114(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & cC112(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC116
% 2.19/2.24  fof(axiom_11,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC116(X)
% 2.19/2.24      <=> ( ~ cC16(X)
% 2.19/2.24          & ~ cC114(X) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC118
% 2.19/2.24  fof(axiom_12,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC118(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & cC116(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC12
% 2.19/2.24  fof(axiom_13,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC12(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & cC10(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC120
% 2.19/2.24  fof(axiom_14,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC120(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & cC118(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.24  %----Equality cC122
% 2.19/2.24  fof(axiom_15,axiom,
% 2.19/2.24      ! [X] :
% 2.19/2.24        ( cC122(X)
% 2.19/2.24      <=> ? [Y] :
% 2.19/2.24            ( rR1(X,Y)
% 2.19/2.24            & ~ cC16(Y) ) ) ).
% 2.19/2.24  
% 2.19/2.25  %----Equality cC124
% 2.19/2.25  fof(axiom_16,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC124(X)
% 2.19/2.25      <=> ( cC122(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC126
% 2.19/2.25  fof(axiom_17,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC126(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC124(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC128
% 2.19/2.25  fof(axiom_18,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC128(X)
% 2.19/2.25      <=> ( ~ cC16(X)
% 2.19/2.25          & ~ cC126(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC130
% 2.19/2.25  fof(axiom_19,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC130(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC128(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC132
% 2.19/2.25  fof(axiom_20,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC132(X)
% 2.19/2.25      <=> ( ~ cC130(X)
% 2.19/2.25          & cC120(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC134
% 2.19/2.25  fof(axiom_21,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC134(X)
% 2.19/2.25      <=> ( ~ cC132(X)
% 2.19/2.25          & ~ cC108(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC136
% 2.19/2.25  fof(axiom_22,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC136(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC138
% 2.19/2.25  fof(axiom_23,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC138(X)
% 2.19/2.25      <=> ( cC136(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC14
% 2.19/2.25  fof(axiom_24,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC14(X)
% 2.19/2.25      <=> ( ~ cC12(X)
% 2.19/2.25          & ~ cC2(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC140
% 2.19/2.25  fof(axiom_25,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC140(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC138(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC142
% 2.19/2.25  fof(axiom_26,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC142(X)
% 2.19/2.25      <=> ( ~ cC140(X)
% 2.19/2.25          & ~ cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC144
% 2.19/2.25  fof(axiom_27,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC144(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC146
% 2.19/2.25  fof(axiom_28,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC146(X)
% 2.19/2.25      <=> ( cC144(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC148
% 2.19/2.25  fof(axiom_29,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC148(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC146(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC150
% 2.19/2.25  fof(axiom_30,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC150(X)
% 2.19/2.25      <=> ( ~ cC16(X)
% 2.19/2.25          & ~ cC148(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC152
% 2.19/2.25  fof(axiom_31,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC152(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC150(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC154
% 2.19/2.25  fof(axiom_32,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC154(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC152(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC156
% 2.19/2.25  fof(axiom_33,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC156(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC158
% 2.19/2.25  fof(axiom_34,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC158(X)
% 2.19/2.25      <=> ( cC156(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC160
% 2.19/2.25  fof(axiom_35,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC160(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC158(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC162
% 2.19/2.25  fof(axiom_36,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC162(X)
% 2.19/2.25      <=> ( ~ cC16(X)
% 2.19/2.25          & ~ cC160(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC164
% 2.19/2.25  fof(axiom_37,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC164(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC162(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC166
% 2.19/2.25  fof(axiom_38,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC166(X)
% 2.19/2.25      <=> ( cC154(X)
% 2.19/2.25          & ~ cC164(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC168
% 2.19/2.25  fof(axiom_39,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC168(X)
% 2.19/2.25      <=> ( ~ cC166(X)
% 2.19/2.25          & ~ cC142(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC170
% 2.19/2.25  fof(axiom_40,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC170(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC168(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC172
% 2.19/2.25  fof(axiom_41,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC172(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC174
% 2.19/2.25  fof(axiom_42,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC174(X)
% 2.19/2.25      <=> ( cC172(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC176
% 2.19/2.25  fof(axiom_43,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC176(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC174(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC178
% 2.19/2.25  fof(axiom_44,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC178(X)
% 2.19/2.25      <=> ( ~ cC16(X)
% 2.19/2.25          & ~ cC176(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC18
% 2.19/2.25  fof(axiom_45,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC18(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC180
% 2.19/2.25  fof(axiom_46,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC180(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC182
% 2.19/2.25  fof(axiom_47,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC182(X)
% 2.19/2.25      <=> ( cC16(X)
% 2.19/2.25          & cC180(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC184
% 2.19/2.25  fof(axiom_48,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC184(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC182(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC186
% 2.19/2.25  fof(axiom_49,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC186(X)
% 2.19/2.25      <=> ( ~ cC16(X)
% 2.19/2.25          & ~ cC184(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC188
% 2.19/2.25  fof(axiom_50,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC188(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC186(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC190
% 2.19/2.25  fof(axiom_51,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC190(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & cC188(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC192
% 2.19/2.25  fof(axiom_52,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC192(X)
% 2.19/2.25      <=> ? [Y] :
% 2.19/2.25            ( rR1(X,Y)
% 2.19/2.25            & ~ cC16(Y) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC194
% 2.19/2.25  fof(axiom_53,axiom,
% 2.19/2.25      ! [X] :
% 2.19/2.25        ( cC194(X)
% 2.19/2.25      <=> ( cC192(X)
% 2.19/2.25          & cC16(X) ) ) ).
% 2.19/2.25  
% 2.19/2.25  %----Equality cC196
% 2.19/2.26  fof(axiom_54,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC196(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC194(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC198
% 2.19/2.26  fof(axiom_55,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC198(X)
% 2.19/2.26      <=> ( ~ cC196(X)
% 2.19/2.26          & ~ cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC20
% 2.19/2.26  fof(axiom_56,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC20(X)
% 2.19/2.26      <=> ( cC18(X)
% 2.19/2.26          & cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC200
% 2.19/2.26  fof(axiom_57,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC200(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC198(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC202
% 2.19/2.26  fof(axiom_58,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC202(X)
% 2.19/2.26      <=> ( cC190(X)
% 2.19/2.26          & ~ cC200(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC204
% 2.19/2.26  fof(axiom_59,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC204(X)
% 2.19/2.26      <=> ( ~ cC178(X)
% 2.19/2.26          & ~ cC202(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC206
% 2.19/2.26  fof(axiom_60,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC206(X)
% 2.19/2.26      <=> ( cC170(X)
% 2.19/2.26          & cC204(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC208
% 2.19/2.26  fof(axiom_61,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC208(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC206(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC210
% 2.19/2.26  fof(axiom_62,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC210(X)
% 2.19/2.26      <=> ( ~ cC208(X)
% 2.19/2.26          & ~ cC134(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC212
% 2.19/2.26  fof(axiom_63,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC212(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC210(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC214
% 2.19/2.26  fof(axiom_64,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC214(X)
% 2.19/2.26      <=> ( cC100(X)
% 2.19/2.26          & ~ cC212(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC216
% 2.19/2.26  fof(axiom_65,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC216(X)
% 2.19/2.26      <=> ( ~ cC214(X)
% 2.19/2.26          & cC64(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC22
% 2.19/2.26  fof(axiom_66,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC22(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC20(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC24
% 2.19/2.26  fof(axiom_67,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC24(X)
% 2.19/2.26      <=> ( ~ cC22(X)
% 2.19/2.26          & ~ cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC26
% 2.19/2.26  fof(axiom_68,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC26(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC24(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC28
% 2.19/2.26  fof(axiom_69,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC28(X)
% 2.19/2.26      <=> ( ~ cC26(X)
% 2.19/2.26          & ~ cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC30
% 2.19/2.26  fof(axiom_70,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC30(X)
% 2.19/2.26      <=> ( cC14(X)
% 2.19/2.26          & cC28(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC34
% 2.19/2.26  fof(axiom_71,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC34(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC32(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC36
% 2.19/2.26  fof(axiom_72,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC36(X)
% 2.19/2.26      <=> ( cC32(X)
% 2.19/2.26          & cC34(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC38
% 2.19/2.26  fof(axiom_73,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC38(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC36(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC4
% 2.19/2.26  fof(axiom_74,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC4(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC2(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC40
% 2.19/2.26  fof(axiom_75,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC40(X)
% 2.19/2.26      <=> ( ~ cC38(X)
% 2.19/2.26          & ~ cC32(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC42
% 2.19/2.26  fof(axiom_76,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC42(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC40(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC44
% 2.19/2.26  fof(axiom_77,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC44(X)
% 2.19/2.26      <=> ( ~ cC32(X)
% 2.19/2.26          & ~ cC42(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC46
% 2.19/2.26  fof(axiom_78,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC46(X)
% 2.19/2.26      <=> ( cC30(X)
% 2.19/2.26          & cC44(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC48
% 2.19/2.26  fof(axiom_79,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC48(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC16(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC50
% 2.19/2.26  fof(axiom_80,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC50(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC16(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC52
% 2.19/2.26  fof(axiom_81,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC52(X)
% 2.19/2.26      <=> ( cC50(X)
% 2.19/2.26          & cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC54
% 2.19/2.26  fof(axiom_82,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC54(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC52(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC56
% 2.19/2.26  fof(axiom_83,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC56(X)
% 2.19/2.26      <=> ( ~ cC16(X)
% 2.19/2.26          & ~ cC54(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC58
% 2.19/2.26  fof(axiom_84,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC58(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC56(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC6
% 2.19/2.26  fof(axiom_85,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC6(X)
% 2.19/2.26      <=> ( cC2(X)
% 2.19/2.26          & cC4(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC60
% 2.19/2.26  fof(axiom_86,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC60(X)
% 2.19/2.26      <=> ( cC48(X)
% 2.19/2.26          & ~ cC58(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC62
% 2.19/2.26  fof(axiom_87,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC62(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC60(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC64
% 2.19/2.26  fof(axiom_88,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC64(X)
% 2.19/2.26      <=> ( ~ cC62(X)
% 2.19/2.26          & cTOP(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC66
% 2.19/2.26  fof(axiom_89,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC66(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC16(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC68
% 2.19/2.26  fof(axiom_90,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC68(X)
% 2.19/2.26      <=> ( cC66(X)
% 2.19/2.26          & cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC70
% 2.19/2.26  fof(axiom_91,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC70(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC68(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC72
% 2.19/2.26  fof(axiom_92,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC72(X)
% 2.19/2.26      <=> ( ~ cC70(X)
% 2.19/2.26          & ~ cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC74
% 2.19/2.26  fof(axiom_93,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC74(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC16(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC76
% 2.19/2.26  fof(axiom_94,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC76(X)
% 2.19/2.26      <=> ( cC74(X)
% 2.19/2.26          & cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC78
% 2.19/2.26  fof(axiom_95,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC78(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC76(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC8
% 2.19/2.26  fof(axiom_96,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC8(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC6(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC80
% 2.19/2.26  fof(axiom_97,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC80(X)
% 2.19/2.26      <=> ( ~ cC16(X)
% 2.19/2.26          & ~ cC78(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC82
% 2.19/2.26  fof(axiom_98,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC82(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC80(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC84
% 2.19/2.26  fof(axiom_99,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC84(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC82(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC86
% 2.19/2.26  fof(axiom_100,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC86(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & ~ cC16(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC88
% 2.19/2.26  fof(axiom_101,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC88(X)
% 2.19/2.26      <=> ( cC86(X)
% 2.19/2.26          & cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC90
% 2.19/2.26  fof(axiom_102,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC90(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC88(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC92
% 2.19/2.26  fof(axiom_103,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC92(X)
% 2.19/2.26      <=> ( ~ cC90(X)
% 2.19/2.26          & ~ cC16(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC94
% 2.19/2.26  fof(axiom_104,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC94(X)
% 2.19/2.26      <=> ? [Y] :
% 2.19/2.26            ( rR1(X,Y)
% 2.19/2.26            & cC92(Y) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC96
% 2.19/2.26  fof(axiom_105,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC96(X)
% 2.19/2.26      <=> ( cC84(X)
% 2.19/2.26          & ~ cC94(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cC98
% 2.19/2.26  fof(axiom_106,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cC98(X)
% 2.19/2.26      <=> ( ~ cC72(X)
% 2.19/2.26          & ~ cC96(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----Equality cTEST
% 2.19/2.26  fof(axiom_107,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( cTEST(X)
% 2.19/2.26      <=> ( cC216(X)
% 2.19/2.26          & cC46(X) ) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_108,axiom,
% 2.19/2.26      cTEST(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_109,axiom,
% 2.19/2.26      cowlThing(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_110,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( rR1(iV3102,X)
% 2.19/2.26       => ~ cC60(X) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_111,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( rR1(iV3102,X)
% 2.19/2.26       => ~ cC10(X) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_112,axiom,
% 2.19/2.26      cTOP(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_113,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( rR1(iV3102,X)
% 2.19/2.26       => ~ cC24(X) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_114,axiom,
% 2.19/2.26      ~ cC42(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_115,axiom,
% 2.19/2.26      ~ cC12(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_116,axiom,
% 2.19/2.26      ~ cC26(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_117,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( rR1(iV3102,X)
% 2.19/2.26       => cC98(X) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_118,axiom,
% 2.19/2.26      ~ cC214(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_119,axiom,
% 2.19/2.26      ~ cC62(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_120,axiom,
% 2.19/2.26      ! [X] :
% 2.19/2.26        ( rR1(iV3102,X)
% 2.19/2.26       => ~ cC40(X) ) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_121,axiom,
% 2.19/2.26      ~ cC16(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_122,axiom,
% 2.19/2.26      ~ cC2(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_123,axiom,
% 2.19/2.26      ~ cC32(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(axiom_124,axiom,
% 2.19/2.26      ~ cC100(iV3102) ).
% 2.19/2.26  
% 2.19/2.26  %----Thing and Nothing
% 2.19/2.26  %----String and Integer disjoint
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  %----iV3102
% 2.19/2.26  fof(the_axiom,conjecture,
% 2.19/2.27      ( ! [X] :
% 2.19/2.27          ( cowlThing(X)
% 2.19/2.27          & ~ cowlNothing(X) )
% 2.19/2.27      & ! [X] :
% 2.19/2.27          ( xsd_string(X)
% 2.19/2.27        <=> ~ xsd_integer(X) )
% 2.19/2.27      & cC216(iV3102)
% 2.19/2.27      & cC46(iV3102)
% 2.19/2.27      & cC30(iV3102)
% 2.19/2.27      & cC44(iV3102)
% 2.19/2.27      & cC28(iV3102)
% 2.19/2.27      & cC64(iV3102)
% 2.19/2.27      & cC14(iV3102)
% 2.19/2.27      & cowlThing(iV3102) ) ).
% 2.19/2.27  
% 2.19/2.27  %------------------------------------------------------------------------------
% 2.19/2.27  %-------------------------------------------
% 2.19/2.27  % Proof found
% 2.19/2.27  % SZS status Theorem for theBenchmark
% 2.19/2.27  % SZS output start Proof
% 2.19/2.27  %ClaNum:339(EqnAxiom:0)
% 2.19/2.27  %VarNum:865(SingletonVarNum:380)
% 2.19/2.27  %MaxLitNum:10
% 2.19/2.27  %MaxfuncDepth:1
% 2.19/2.27  %SharedTerms:26
% 2.19/2.27  %goalClause: 338 339
% 2.19/2.27  [1]P1(a1)
% 2.19/2.27  [2]P2(a1)
% 2.19/2.27  [3]~P3(a1)
% 2.19/2.27  [4]~P4(a1)
% 2.19/2.27  [5]~P6(a1)
% 2.19/2.27  [6]~P7(a1)
% 2.19/2.27  [7]~P59(a1)
% 2.19/2.27  [8]~P68(a1)
% 2.19/2.27  [9]~P72(a1)
% 2.19/2.27  [10]~P75(a1)
% 2.19/2.27  [11]~P81(a1)
% 2.19/2.27  [12]~P111(x121)
% 2.19/2.27  [13]P113(x131)+P112(x131)
% 2.19/2.27  [14]~P82(x141)+P3(x141)
% 2.19/2.27  [15]~P59(x151)+P4(x151)
% 2.19/2.27  [16]~P9(x161)+P8(x161)
% 2.19/2.27  [17]~P9(x171)+P6(x171)
% 2.19/2.27  [18]~P10(x181)+P6(x181)
% 2.19/2.27  [19]~P17(x191)+P6(x191)
% 2.19/2.27  [20]~P20(x201)+P6(x201)
% 2.19/2.27  [21]~P27(x211)+P6(x211)
% 2.19/2.27  [22]~P32(x221)+P6(x221)
% 2.19/2.27  [23]~P38(x231)+P6(x231)
% 2.19/2.27  [24]~P46(x241)+P6(x241)
% 2.19/2.27  [25]~P51(x251)+P6(x251)
% 2.19/2.27  [26]~P60(x261)+P6(x261)
% 2.19/2.27  [27]~P83(x271)+P6(x271)
% 2.19/2.27  [28]~P92(x281)+P6(x281)
% 2.19/2.27  [29]~P95(x291)+P6(x291)
% 2.19/2.27  [30]~P99(x301)+P6(x301)
% 2.19/2.27  [31]~P10(x311)+P11(x311)
% 2.19/2.27  [32]~P21(x321)+P18(x321)
% 2.19/2.27  [33]~P17(x331)+P19(x331)
% 2.19/2.27  [34]~P20(x341)+P25(x341)
% 2.19/2.27  [35]~P73(x351)+P28(x351)
% 2.19/2.27  [36]~P27(x361)+P29(x361)
% 2.19/2.27  [37]~P39(x371)+P33(x371)
% 2.19/2.27  [38]~P32(x381)+P37(x381)
% 2.19/2.27  [39]~P61(x391)+P43(x391)
% 2.19/2.27  [40]~P38(x401)+P45(x401)
% 2.19/2.27  [41]~P60(x411)+P47(x411)
% 2.19/2.27  [42]~P46(x421)+P50(x421)
% 2.19/2.27  [43]~P62(x431)+P52(x431)
% 2.19/2.27  [44]~P51(x441)+P56(x441)
% 2.19/2.27  [45]~P61(x451)+P64(x451)
% 2.19/2.27  [46]~P2(x461)+P69(x461)
% 2.19/2.27  [47]~P69(x471)+P93(x471)
% 2.19/2.27  [48]~P73(x481)+P74(x481)
% 2.19/2.27  [49]~P84(x491)+P73(x491)
% 2.19/2.27  [50]~P77(x501)+P76(x501)
% 2.19/2.27  [51]~P77(x511)+P72(x511)
% 2.19/2.27  [52]~P82(x521)+P78(x521)
% 2.19/2.27  [53]~P84(x531)+P85(x531)
% 2.19/2.27  [54]~P2(x541)+P84(x541)
% 2.19/2.27  [55]~P91(x551)+P86(x551)
% 2.19/2.27  [56]~P83(x561)+P87(x561)
% 2.19/2.27  [57]~P93(x571)+P1(x571)
% 2.19/2.27  [58]~P92(x581)+P94(x581)
% 2.19/2.27  [59]~P95(x591)+P96(x591)
% 2.19/2.27  [60]~P106(x601)+P100(x601)
% 2.19/2.27  [61]~P99(x611)+P105(x611)
% 2.19/2.27  [86]~P113(x861)+~P112(x861)
% 2.19/2.27  [87]~P101(x871)+~P5(x871)
% 2.19/2.27  [88]~P3(x881)+~P5(x881)
% 2.19/2.27  [89]~P28(x891)+~P3(x891)
% 2.19/2.27  [90]~P97(x901)+~P110(x901)
% 2.19/2.27  [91]~P106(x911)+~P110(x911)
% 2.19/2.27  [92]~P13(x921)+~P6(x921)
% 2.19/2.27  [93]~P15(x931)+~P6(x931)
% 2.19/2.27  [94]~P23(x941)+~P6(x941)
% 2.19/2.27  [95]~P31(x951)+~P6(x951)
% 2.19/2.27  [96]~P35(x961)+~P6(x961)
% 2.19/2.27  [97]~P41(x971)+~P6(x971)
% 2.19/2.27  [98]~P49(x981)+~P6(x981)
% 2.19/2.27  [99]~P54(x991)+~P6(x991)
% 2.19/2.27  [100]~P58(x1001)+~P6(x1001)
% 2.19/2.27  [101]~P71(x1011)+~P6(x1011)
% 2.19/2.27  [102]~P74(x1021)+~P6(x1021)
% 2.19/2.27  [103]~P89(x1031)+~P6(x1031)
% 2.19/2.27  [104]~P97(x1041)+~P6(x1041)
% 2.19/2.27  [105]~P103(x1051)+~P6(x1051)
% 2.19/2.27  [106]~P108(x1061)+~P6(x1061)
% 2.19/2.27  [107]~P13(x1071)+~P12(x1071)
% 2.19/2.27  [108]~P26(x1081)+~P13(x1081)
% 2.19/2.27  [109]~P15(x1091)+~P14(x1091)
% 2.19/2.27  [110]~P28(x1101)+~P7(x1101)
% 2.19/2.27  [111]~P23(x1111)+~P22(x1111)
% 2.19/2.27  [112]~P21(x1121)+~P24(x1121)
% 2.19/2.27  [113]~P26(x1131)+~P21(x1131)
% 2.19/2.27  [114]~P66(x1141)+~P26(x1141)
% 2.19/2.27  [115]~P31(x1151)+~P30(x1151)
% 2.19/2.27  [116]~P44(x1161)+~P31(x1161)
% 2.19/2.27  [117]~P35(x1171)+~P34(x1171)
% 2.19/2.27  [118]~P41(x1181)+~P40(x1181)
% 2.19/2.27  [119]~P39(x1191)+~P42(x1191)
% 2.19/2.27  [120]~P44(x1201)+~P39(x1201)
% 2.19/2.27  [121]~P49(x1211)+~P48(x1211)
% 2.19/2.27  [122]~P64(x1221)+~P49(x1221)
% 2.19/2.27  [123]~P54(x1231)+~P53(x1231)
% 2.19/2.27  [124]~P58(x1241)+~P57(x1241)
% 2.19/2.27  [125]~P62(x1251)+~P63(x1251)
% 2.19/2.27  [126]~P64(x1261)+~P62(x1261)
% 2.19/2.27  [127]~P66(x1271)+~P65(x1271)
% 2.19/2.27  [128]~P59(x1281)+~P67(x1281)
% 2.19/2.27  [129]~P69(x1291)+~P59(x1291)
% 2.19/2.27  [130]~P81(x1301)+~P93(x1301)
% 2.19/2.27  [131]~P71(x1311)+~P70(x1311)
% 2.19/2.27  [132]~P74(x1321)+~P68(x1321)
% 2.19/2.27  [133]~P80(x1331)+~P72(x1331)
% 2.19/2.27  [134]~P85(x1341)+~P72(x1341)
% 2.19/2.27  [135]~P80(x1351)+~P79(x1351)
% 2.19/2.27  [136]~P85(x1361)+~P75(x1361)
% 2.19/2.27  [137]~P89(x1371)+~P88(x1371)
% 2.19/2.27  [138]~P91(x1381)+~P90(x1381)
% 2.19/2.27  [139]~P97(x1391)+~P98(x1391)
% 2.19/2.27  [140]~P103(x1401)+~P102(x1401)
% 2.19/2.27  [141]~P108(x1411)+~P107(x1411)
% 2.19/2.27  [142]~P106(x1421)+~P109(x1421)
% 2.19/2.27  [225]P110(x2251)+~P114(a1,x2251)
% 2.19/2.27  [226]~P5(x2261)+~P114(a1,x2261)
% 2.19/2.27  [227]~P71(x2271)+~P114(a1,x2271)
% 2.19/2.27  [228]~P80(x2281)+~P114(a1,x2281)
% 2.19/2.27  [229]~P91(x2291)+~P114(a1,x2291)
% 2.19/2.27  [151]~P7(x1511)+P5(f2(x1511))
% 2.19/2.27  [152]~P12(x1521)+P9(f3(x1521))
% 2.19/2.27  [153]~P14(x1531)+P10(f36(x1531))
% 2.19/2.27  [154]~P16(x1541)+P15(f55(x1541))
% 2.19/2.27  [155]~P18(x1551)+P16(f56(x1551))
% 2.19/2.27  [156]~P22(x1561)+P17(f4(x1561))
% 2.19/2.27  [157]~P24(x1571)+P23(f5(x1571))
% 2.19/2.27  [158]~P30(x1581)+P20(f6(x1581))
% 2.19/2.27  [159]~P34(x1591)+P27(f8(x1591))
% 2.19/2.27  [160]~P36(x1601)+P35(f10(x1601))
% 2.19/2.27  [161]~P33(x1611)+P36(f11(x1611))
% 2.19/2.27  [162]~P40(x1621)+P32(f12(x1621))
% 2.19/2.27  [163]~P42(x1631)+P41(f14(x1631))
% 2.19/2.27  [164]~P48(x1641)+P38(f16(x1641))
% 2.19/2.27  [165]~P53(x1651)+P46(f19(x1651))
% 2.19/2.27  [166]~P55(x1661)+P54(f22(x1661))
% 2.19/2.27  [167]~P52(x1671)+P55(f23(x1671))
% 2.19/2.27  [168]~P57(x1681)+P51(f24(x1681))
% 2.19/2.27  [169]~P63(x1691)+P58(f27(x1691))
% 2.19/2.27  [170]~P70(x1701)+P60(f28(x1701))
% 2.19/2.27  [171]~P65(x1711)+P61(f29(x1711))
% 2.19/2.27  [172]~P67(x1721)+P66(f30(x1721))
% 2.19/2.27  [173]~P68(x1731)+P71(f31(x1731))
% 2.19/2.27  [174]~P79(x1741)+P77(f32(x1741))
% 2.19/2.27  [175]~P75(x1751)+P80(f34(x1751))
% 2.19/2.27  [176]~P88(x1761)+P83(f37(x1761))
% 2.19/2.27  [177]~P90(x1771)+P89(f40(x1771))
% 2.19/2.27  [178]~P101(x1781)+P82(f41(x1781))
% 2.19/2.27  [179]~P81(x1791)+P91(f42(x1791))
% 2.19/2.27  [180]~P98(x1801)+P92(f43(x1801))
% 2.19/2.27  [181]~P102(x1811)+P95(f45(x1811))
% 2.19/2.27  [182]~P104(x1821)+P103(f47(x1821))
% 2.19/2.27  [183]~P100(x1831)+P104(f49(x1831))
% 2.19/2.27  [184]~P107(x1841)+P99(f50(x1841))
% 2.19/2.27  [185]~P109(x1851)+P108(f52(x1851))
% 2.19/2.27  [206]~P4(x2061)+~P110(f15(x2061))
% 2.19/2.27  [207]~P8(x2071)+~P6(f25(x2071))
% 2.19/2.27  [208]~P11(x2081)+~P6(f48(x2081))
% 2.19/2.27  [209]~P19(x2091)+~P6(f57(x2091))
% 2.19/2.27  [210]~P25(x2101)+~P6(f7(x2101))
% 2.19/2.27  [211]~P29(x2111)+~P6(f9(x2111))
% 2.19/2.27  [212]~P37(x2121)+~P6(f13(x2121))
% 2.19/2.27  [213]~P43(x2131)+~P44(f17(x2131))
% 2.19/2.27  [214]~P45(x2141)+~P6(f18(x2141))
% 2.19/2.27  [215]~P47(x2151)+~P6(f20(x2151))
% 2.19/2.27  [216]~P50(x2161)+~P6(f21(x2161))
% 2.19/2.27  [217]~P56(x2171)+~P6(f26(x2171))
% 2.19/2.27  [218]~P76(x2181)+~P72(f33(x2181))
% 2.19/2.27  [219]~P78(x2191)+~P3(f35(x2191))
% 2.19/2.27  [220]~P86(x2201)+~P6(f38(x2201))
% 2.19/2.27  [221]~P87(x2211)+~P6(f39(x2211))
% 2.19/2.27  [222]~P94(x2221)+~P6(f44(x2221))
% 2.19/2.27  [223]~P96(x2231)+~P6(f46(x2231))
% 2.19/2.27  [224]~P105(x2241)+~P6(f51(x2241))
% 2.19/2.27  [230]~P4(x2301)+P114(x2301,f15(x2301))
% 2.19/2.27  [231]~P8(x2311)+P114(x2311,f25(x2311))
% 2.19/2.27  [232]~P12(x2321)+P114(x2321,f3(x2321))
% 2.19/2.27  [233]~P11(x2331)+P114(x2331,f48(x2331))
% 2.19/2.27  [234]~P14(x2341)+P114(x2341,f36(x2341))
% 2.19/2.27  [235]~P16(x2351)+P114(x2351,f55(x2351))
% 2.19/2.27  [236]~P7(x2361)+P114(x2361,f2(x2361))
% 2.19/2.27  [237]~P18(x2371)+P114(x2371,f56(x2371))
% 2.19/2.27  [238]~P19(x2381)+P114(x2381,f57(x2381))
% 2.19/2.27  [239]~P22(x2391)+P114(x2391,f4(x2391))
% 2.19/2.27  [240]~P24(x2401)+P114(x2401,f5(x2401))
% 2.19/2.27  [241]~P25(x2411)+P114(x2411,f7(x2411))
% 2.19/2.27  [242]~P30(x2421)+P114(x2421,f6(x2421))
% 2.19/2.27  [243]~P29(x2431)+P114(x2431,f9(x2431))
% 2.19/2.27  [244]~P34(x2441)+P114(x2441,f8(x2441))
% 2.19/2.27  [245]~P36(x2451)+P114(x2451,f10(x2451))
% 2.19/2.27  [246]~P33(x2461)+P114(x2461,f11(x2461))
% 2.19/2.27  [247]~P37(x2471)+P114(x2471,f13(x2471))
% 2.19/2.27  [248]~P40(x2481)+P114(x2481,f12(x2481))
% 2.19/2.27  [249]~P42(x2491)+P114(x2491,f14(x2491))
% 2.19/2.27  [250]~P43(x2501)+P114(x2501,f17(x2501))
% 2.19/2.27  [251]~P45(x2511)+P114(x2511,f18(x2511))
% 2.19/2.27  [252]~P48(x2521)+P114(x2521,f16(x2521))
% 2.19/2.27  [253]~P47(x2531)+P114(x2531,f20(x2531))
% 2.19/2.27  [254]~P50(x2541)+P114(x2541,f21(x2541))
% 2.19/2.27  [255]~P53(x2551)+P114(x2551,f19(x2551))
% 2.19/2.27  [256]~P55(x2561)+P114(x2561,f22(x2561))
% 2.19/2.27  [257]~P52(x2571)+P114(x2571,f23(x2571))
% 2.19/2.27  [258]~P56(x2581)+P114(x2581,f26(x2581))
% 2.19/2.27  [259]~P57(x2591)+P114(x2591,f24(x2591))
% 2.19/2.27  [260]~P63(x2601)+P114(x2601,f27(x2601))
% 2.19/2.27  [261]~P65(x2611)+P114(x2611,f29(x2611))
% 2.19/2.27  [262]~P67(x2621)+P114(x2621,f30(x2621))
% 2.19/2.27  [263]~P70(x2631)+P114(x2631,f28(x2631))
% 2.19/2.27  [264]~P68(x2641)+P114(x2641,f31(x2641))
% 2.19/2.27  [265]~P76(x2651)+P114(x2651,f33(x2651))
% 2.19/2.27  [266]~P79(x2661)+P114(x2661,f32(x2661))
% 2.19/2.27  [267]~P78(x2671)+P114(x2671,f35(x2671))
% 2.19/2.27  [268]~P75(x2681)+P114(x2681,f34(x2681))
% 2.19/2.27  [269]~P86(x2691)+P114(x2691,f38(x2691))
% 2.19/2.27  [270]~P87(x2701)+P114(x2701,f39(x2701))
% 2.19/2.27  [271]~P88(x2711)+P114(x2711,f37(x2711))
% 2.19/2.27  [272]~P90(x2721)+P114(x2721,f40(x2721))
% 2.19/2.27  [273]~P81(x2731)+P114(x2731,f42(x2731))
% 2.19/2.27  [274]~P94(x2741)+P114(x2741,f44(x2741))
% 2.19/2.27  [275]~P98(x2751)+P114(x2751,f43(x2751))
% 2.19/2.27  [276]~P96(x2761)+P114(x2761,f46(x2761))
% 2.19/2.27  [277]~P102(x2771)+P114(x2771,f45(x2771))
% 2.19/2.27  [278]~P101(x2781)+P114(x2781,f41(x2781))
% 2.19/2.27  [279]~P104(x2791)+P114(x2791,f47(x2791))
% 2.19/2.27  [280]~P100(x2801)+P114(x2801,f49(x2801))
% 2.19/2.27  [281]~P105(x2811)+P114(x2811,f51(x2811))
% 2.19/2.27  [282]~P107(x2821)+P114(x2821,f50(x2821))
% 2.19/2.27  [283]~P109(x2831)+P114(x2831,f52(x2831))
% 2.19/2.27  [62]P101(x621)+P3(x621)+P5(x621)
% 2.19/2.27  [63]P7(x631)+P28(x631)+P3(x631)
% 2.19/2.27  [64]P97(x641)+P106(x641)+P110(x641)
% 2.19/2.27  [65]P12(x651)+P13(x651)+P6(x651)
% 2.19/2.27  [66]P14(x661)+P15(x661)+P6(x661)
% 2.19/2.27  [67]P22(x671)+P23(x671)+P6(x671)
% 2.19/2.27  [68]P30(x681)+P31(x681)+P6(x681)
% 2.19/2.27  [69]P34(x691)+P35(x691)+P6(x691)
% 2.19/2.27  [70]P40(x701)+P41(x701)+P6(x701)
% 2.19/2.27  [71]P48(x711)+P49(x711)+P6(x711)
% 2.19/2.27  [72]P53(x721)+P54(x721)+P6(x721)
% 2.19/2.27  [73]P57(x731)+P58(x731)+P6(x731)
% 2.19/2.27  [74]P70(x741)+P71(x741)+P6(x741)
% 2.19/2.27  [75]P68(x751)+P74(x751)+P6(x751)
% 2.19/2.27  [76]P88(x761)+P89(x761)+P6(x761)
% 2.19/2.27  [77]P98(x771)+P97(x771)+P6(x771)
% 2.19/2.27  [78]P102(x781)+P103(x781)+P6(x781)
% 2.19/2.27  [79]P107(x791)+P108(x791)+P6(x791)
% 2.19/2.27  [80]P21(x801)+P26(x801)+P13(x801)
% 2.19/2.27  [81]P65(x811)+P66(x811)+P26(x811)
% 2.19/2.27  [82]P39(x821)+P44(x821)+P31(x821)
% 2.19/2.27  [83]P62(x831)+P64(x831)+P49(x831)
% 2.19/2.27  [84]P79(x841)+P80(x841)+P72(x841)
% 2.19/2.27  [85]P75(x851)+P85(x851)+P72(x851)
% 2.19/2.27  [143]P21(x1431)+~P18(x1431)+P24(x1431)
% 2.19/2.27  [144]P39(x1441)+~P33(x1441)+P42(x1441)
% 2.19/2.27  [145]P62(x1451)+~P52(x1451)+P63(x1451)
% 2.19/2.27  [146]P59(x1461)+~P4(x1461)+P67(x1461)
% 2.19/2.27  [147]P69(x1471)+~P93(x1471)+P59(x1471)
% 2.19/2.27  [148]P81(x1481)+~P1(x1481)+P93(x1481)
% 2.19/2.27  [149]P91(x1491)+~P86(x1491)+P90(x1491)
% 2.19/2.27  [150]P106(x1501)+~P100(x1501)+P109(x1501)
% 2.19/2.27  [186]~P8(x1861)+~P6(x1861)+P9(x1861)
% 2.19/2.27  [187]~P6(x1871)+~P11(x1871)+P10(x1871)
% 2.19/2.27  [188]~P6(x1881)+~P19(x1881)+P17(x1881)
% 2.19/2.27  [189]~P6(x1891)+~P25(x1891)+P20(x1891)
% 2.19/2.27  [190]~P6(x1901)+~P29(x1901)+P27(x1901)
% 2.19/2.27  [191]~P6(x1911)+~P37(x1911)+P32(x1911)
% 2.19/2.27  [192]~P6(x1921)+~P45(x1921)+P38(x1921)
% 2.19/2.27  [193]~P6(x1931)+~P50(x1931)+P46(x1931)
% 2.19/2.27  [194]~P6(x1941)+~P56(x1941)+P51(x1941)
% 2.19/2.27  [195]~P6(x1951)+~P47(x1951)+P60(x1951)
% 2.19/2.27  [196]~P43(x1961)+~P64(x1961)+P61(x1961)
% 2.19/2.27  [197]~P28(x1971)+~P74(x1971)+P73(x1971)
% 2.19/2.27  [198]~P76(x1981)+~P72(x1981)+P77(x1981)
% 2.19/2.27  [199]~P73(x1991)+~P85(x1991)+P84(x1991)
% 2.19/2.27  [200]~P6(x2001)+~P87(x2001)+P83(x2001)
% 2.19/2.27  [201]~P3(x2011)+~P78(x2011)+P82(x2011)
% 2.19/2.27  [202]~P6(x2021)+~P94(x2021)+P92(x2021)
% 2.19/2.27  [203]~P6(x2031)+~P96(x2031)+P95(x2031)
% 2.19/2.27  [204]~P6(x2041)+~P105(x2041)+P99(x2041)
% 2.19/2.27  [205]~P69(x2051)+~P84(x2051)+P2(x2051)
% 2.19/2.27  [284]~P114(x2842,x2841)+P3(x2841)+P78(x2842)
% 2.19/2.27  [285]~P114(x2851,x2852)+P4(x2851)+P110(x2852)
% 2.19/2.27  [286]~P114(x2861,x2862)+P8(x2861)+P6(x2862)
% 2.19/2.27  [287]~P114(x2872,x2871)+P6(x2871)+P11(x2872)
% 2.19/2.27  [288]~P114(x2882,x2881)+P6(x2881)+P19(x2882)
% 2.19/2.27  [289]~P114(x2892,x2891)+P6(x2891)+P25(x2892)
% 2.19/2.27  [290]~P114(x2902,x2901)+P6(x2901)+P29(x2902)
% 2.19/2.27  [291]~P114(x2912,x2911)+P6(x2911)+P37(x2912)
% 2.19/2.27  [292]~P114(x2922,x2921)+P6(x2921)+P45(x2922)
% 2.19/2.27  [293]~P114(x2932,x2931)+P6(x2931)+P47(x2932)
% 2.19/2.27  [294]~P114(x2942,x2941)+P6(x2941)+P50(x2942)
% 2.19/2.27  [295]~P114(x2952,x2951)+P6(x2951)+P56(x2952)
% 2.19/2.27  [296]~P114(x2962,x2961)+P6(x2961)+P86(x2962)
% 2.19/2.27  [297]~P114(x2972,x2971)+P6(x2971)+P87(x2972)
% 2.19/2.27  [298]~P114(x2982,x2981)+P6(x2981)+P94(x2982)
% 2.19/2.27  [299]~P114(x2992,x2991)+P6(x2991)+P96(x2992)
% 2.19/2.27  [300]~P114(x3002,x3001)+P6(x3001)+P105(x3002)
% 2.19/2.27  [301]~P114(x3012,x3011)+P44(x3011)+P43(x3012)
% 2.19/2.27  [302]~P114(x3021,x3022)+P76(x3021)+P72(x3022)
% 2.19/2.27  [303]~P114(x3031,x3032)+P101(x3031)+~P82(x3032)
% 2.19/2.27  [304]~P114(x3041,x3042)+P12(x3041)+~P9(x3042)
% 2.19/2.27  [305]~P114(x3051,x3052)+P14(x3051)+~P10(x3052)
% 2.19/2.27  [306]~P114(x3061,x3062)+P16(x3061)+~P15(x3062)
% 2.19/2.27  [307]~P114(x3071,x3072)+P7(x3071)+~P5(x3072)
% 2.19/2.27  [308]~P114(x3081,x3082)+P18(x3081)+~P16(x3082)
% 2.19/2.27  [309]~P114(x3091,x3092)+P22(x3091)+~P17(x3092)
% 2.19/2.27  [310]~P114(x3101,x3102)+P24(x3101)+~P23(x3102)
% 2.19/2.27  [311]~P114(x3111,x3112)+P30(x3111)+~P20(x3112)
% 2.19/2.27  [312]~P114(x3121,x3122)+P34(x3121)+~P27(x3122)
% 2.19/2.27  [313]~P114(x3131,x3132)+P36(x3131)+~P35(x3132)
% 2.19/2.27  [314]~P114(x3141,x3142)+P33(x3141)+~P36(x3142)
% 2.19/2.27  [315]~P114(x3151,x3152)+P40(x3151)+~P32(x3152)
% 2.19/2.27  [316]~P114(x3161,x3162)+P42(x3161)+~P41(x3162)
% 2.19/2.27  [317]~P114(x3171,x3172)+P48(x3171)+~P38(x3172)
% 2.19/2.27  [318]~P114(x3181,x3182)+P53(x3181)+~P46(x3182)
% 2.19/2.27  [319]~P114(x3191,x3192)+P55(x3191)+~P54(x3192)
% 2.19/2.27  [320]~P114(x3201,x3202)+P52(x3201)+~P55(x3202)
% 2.19/2.27  [321]~P114(x3211,x3212)+P57(x3211)+~P51(x3212)
% 2.19/2.27  [322]~P114(x3221,x3222)+P63(x3221)+~P58(x3222)
% 2.19/2.27  [323]~P114(x3231,x3232)+P65(x3231)+~P61(x3232)
% 2.19/2.27  [324]~P114(x3241,x3242)+P67(x3241)+~P66(x3242)
% 2.19/2.27  [325]~P114(x3251,x3252)+P70(x3251)+~P60(x3252)
% 2.19/2.27  [326]~P114(x3261,x3262)+P68(x3261)+~P71(x3262)
% 2.19/2.27  [327]~P114(x3271,x3272)+P79(x3271)+~P77(x3272)
% 2.19/2.27  [328]~P114(x3281,x3282)+P75(x3281)+~P80(x3282)
% 2.19/2.27  [329]~P114(x3291,x3292)+P88(x3291)+~P83(x3292)
% 2.19/2.27  [330]~P114(x3301,x3302)+P90(x3301)+~P89(x3302)
% 2.19/2.27  [331]~P114(x3311,x3312)+P81(x3311)+~P91(x3312)
% 2.19/2.27  [332]~P114(x3321,x3322)+P98(x3321)+~P92(x3322)
% 2.19/2.27  [333]~P114(x3331,x3332)+P102(x3331)+~P95(x3332)
% 2.19/2.27  [334]~P114(x3341,x3342)+P104(x3341)+~P103(x3342)
% 2.19/2.27  [335]~P114(x3351,x3352)+P100(x3351)+~P104(x3352)
% 2.19/2.27  [336]~P114(x3361,x3362)+P107(x3361)+~P99(x3362)
% 2.19/2.27  [337]~P114(x3371,x3372)+P109(x3371)+~P108(x3372)
% 2.19/2.27  [338]P111(a53)+P112(a54)+~P113(a54)+~P28(a1)+~P69(a1)+~P93(a1)+~P74(a1)+~P73(a1)+~P85(a1)+~P84(a1)
% 2.19/2.27  [339]P111(a53)+P113(a54)+~P112(a54)+~P28(a1)+~P69(a1)+~P93(a1)+~P74(a1)+~P73(a1)+~P85(a1)+~P84(a1)
% 2.19/2.27  %EqnAxiom
% 2.19/2.27  
% 2.19/2.27  %-------------------------------------------
% 2.19/2.27  cnf(370,plain,
% 2.19/2.27     (P93(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,3,5,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148])).
% 2.19/2.27  cnf(372,plain,
% 2.19/2.27     (P69(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147])).
% 2.19/2.27  cnf(374,plain,
% 2.19/2.27     (P84(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,2,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147,54])).
% 2.19/2.27  cnf(376,plain,
% 2.19/2.27     (P85(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,2,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147,54,53])).
% 2.19/2.27  cnf(378,plain,
% 2.19/2.27     (P73(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,2,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147,54,53,49])).
% 2.19/2.27  cnf(380,plain,
% 2.19/2.27     (P74(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,2,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147,54,53,49,48])).
% 2.19/2.27  cnf(382,plain,
% 2.19/2.27     (P28(a1)),
% 2.19/2.27     inference(scs_inference,[],[1,2,3,5,7,9,11,51,30,29,28,27,26,25,24,23,22,21,20,19,18,17,14,148,147,54,53,49,48,35])).
% 2.19/2.27  cnf(386,plain,
% 2.19/2.27     (~P113(a54)+P112(a54)),
% 2.19/2.27     inference(scs_inference,[],[382,372,370,380,378,376,374,12,338])).
% 2.19/2.27  cnf(387,plain,
% 2.19/2.27     (~P112(a54)+P113(a54)),
% 2.19/2.27     inference(scs_inference,[],[382,372,370,380,378,376,374,12,339])).
% 2.19/2.27  cnf(957,plain,
% 2.19/2.27     (~P113(a54)),
% 2.19/2.27     inference(scs_inference,[],[386,86])).
% 2.19/2.27  cnf(958,plain,
% 2.19/2.27     (~P112(a54)),
% 2.19/2.27     inference(scs_inference,[],[957,387])).
% 2.19/2.27  cnf(959,plain,
% 2.19/2.27     (P112(a54)),
% 2.19/2.27     inference(scs_inference,[],[957,13])).
% 2.19/2.27  cnf(967,plain,
% 2.19/2.27     ($false),
% 2.19/2.27     inference(scs_inference,[],[958,959]),
% 2.19/2.27     ['proof']).
% 2.19/2.27  % SZS output end Proof
% 2.19/2.27  % Total time :1.590000s
%------------------------------------------------------------------------------