TSTP Solution File: SYN906-1 by DarwinFM---1.4.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : DarwinFM---1.4.5
% Problem  : SYN906-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s

% Computer : n022.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  : 0s
% DateTime : Thu Jul 21 04:10:12 EDT 2022

% Result   : Satisfiable 0.39s 0.62s
% Output   : FiniteModel 0.47s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
fof(interpretation_domain,fi_domain,
    ! [X] :
      ( X = e1
      | X = e2 ) ).

fof(interpretation_domain_distinct,fi_domain,
    e1 != e2 ).

fof(interpretation_terms,fi_functors,
    ( skc21 = e1
    & skc22 = e1
    & skc23 = e1
    & skc24 = e1
    & skc25 = e1
    & skc26 = e1
    & skc27 = e1
    & skc28 = e1
    & skc29 = e1
    & skc30 = e1
    & skc31 = e1
    & skc32 = e1
    & skc33 = e1
    & skc34 = e1
    & skc35 = e1
    & skc36 = e1
    & skc37 = e1
    & skc38 = e1
    & skc39 = e1
    & skc40 = e1
    & skc41 = e1
    & ! [X0] : skf35(X0) = e1
    & ! [X0,X1] :
        ( skf36(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf37(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf38(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf39(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf40(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf41(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf42(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( skf43(X0) = X1
      <=> ( ( X1 = e1
            & X0 != e1 )
          | ( X0 = e1
            & X1 = e2 ) ) )
    & ! [X0] : skf44(X0) = e1
    & ! [X0] : skf45(X0) = e1
    & ! [X0] : skf46(X0) = e1
    & ! [X0] : skf47(X0) = e1
    & ! [X0] : skf48(X0) = e1
    & ! [X0] : skf49(X0) = e1
    & ! [X0] : skf50(X0) = e1
    & ! [X0] : skf51(X0) = e1
    & ! [X0] : skf52(X0) = e1
    & ! [X0] : skf53(X0) = e1
    & ! [X0] : skf54(X0) = e1
    & ! [X0] : skf55(X0) = e1
    & ! [X0] : skf56(X0) = e1
    & ! [X0] : skf57(X0) = e1
    & ! [X0] : skf58(X0) = e1
    & ! [X0] : skf59(X0) = e1
    & ! [X0] : skf60(X0) = e1
    & ! [X0] : skf61(X0) = e1
    & ! [X0] : skf62(X0) = e1
    & ! [X0] : skf63(X0) = e1
    & ! [X0] : skf64(X0) = e1
    & ! [X0] : skf65(X0) = e1
    & ! [X0] : skf66(X0) = e1
    & ! [X0] : skf67(X0) = e1
    & ! [X0] : skf68(X0) = e1
    & ! [X0] : skf69(X0) = e1 ) ).

fof(interpretation_atoms,fi_predicates,
    ( ! [X0] :
        ( ssPv1(X0)
      <=> $false )
    & ! [X0] :
        ( ssPv11(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssPv12(X0)
      <=> $false )
    & ! [X0] :
        ( ssPv13(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv14(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv15(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv16(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv17(X0)
      <=> $false )
    & ! [X0] :
        ( ssPv18(X0)
      <=> $false )
    & ! [X0] :
        ( ssPv19(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssPv2(X0)
      <=> $false )
    & ! [X0] :
        ( ssPv20(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] : ssPv3(X0)
    & ! [X0] : ssPv4(X0)
    & ! [X0] :
        ( ssPv5(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv6(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv7(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv8(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssPv9(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssRr(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 ) ) )
    & ( ssSkC0
    <=> $false )
    & ( ssSkC1
    <=> $false )
    & ( ssSkC10
    <=> $false )
    & ( ssSkC11
    <=> $false )
    & ( ssSkC12
    <=> $false )
    & ( ssSkC13
    <=> $false )
    & ( ssSkC14
    <=> $false )
    & ( ssSkC15
    <=> $false )
    & ( ssSkC16
    <=> $false )
    & ( ssSkC17
    <=> $false )
    & ( ssSkC18
    <=> $false )
    & ( ssSkC19
    <=> $false )
    & ( ssSkC2
    <=> $false )
    & ( ssSkC20
    <=> $false )
    & ( ssSkC3
    <=> $false )
    & ( ssSkC4
    <=> $false )
    & ( ssSkC5
    <=> $false )
    & ( ssSkC6
    <=> $false )
    & ( ssSkC7
    <=> $false )
    & ( ssSkC8
    <=> $false )
    & ( ssSkC9
    <=> $false )
    & ! [X0,X1] :
        ( ssSkP0(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP1(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP10(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP100(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP101(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP102(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP103(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP104(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP105(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP106(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP107(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP108(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP109(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP11(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP110(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP111(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP112(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP113(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP114(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP115(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP116(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP117(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP118(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP119(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP12(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP120(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP121(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP122(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP123(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP124(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP125(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP126(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP127(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP128(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP129(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP13(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP130(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP131(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP132(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP133(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP134(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP135(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP136(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP137(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP138(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP139(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP14(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP140(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP141(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP142(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP143(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP144(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP145(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP146(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP147(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP148(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP149(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP15(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP150(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP151(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP152(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP153(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP154(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP155(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP156(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP157(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP158(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP159(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP16(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP160(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP161(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP162(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP163(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP164(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP165(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP166(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP167(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP168(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP169(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP17(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP170(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP171(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP172(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP173(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP174(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP175(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP176(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP177(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP178(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP179(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP18(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP180(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP181(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP182(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP183(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP184(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP185(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP186(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP187(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP188(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP189(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP19(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP190(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP191(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP192(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP193(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP194(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP195(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP196(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP197(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP198(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP199(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP2(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP20(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP200(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP201(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP202(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP203(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP204(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP205(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP206(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP207(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP208(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP209(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP21(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP210(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP211(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP212(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP213(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP214(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP215(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP216(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP217(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP218(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP219(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP22(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP220(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP221(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP222(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP223(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP224(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP225(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP226(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP227(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP228(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP229(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP23(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP230(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP231(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP232(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP233(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP234(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP235(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP236(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP237(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP238(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP239(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP24(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP240(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP241(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP242(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP243(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP244(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP245(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP246(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP247(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP248(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP249(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP25(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP250(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP251(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP252(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP253(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP254(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP255(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP256(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP257(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP258(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP259(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP26(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP260(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP261(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP262(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP263(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP264(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP265(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP266(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP267(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP268(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP269(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP27(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP270(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP271(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP272(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP273(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP274(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP275(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP276(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP277(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP278(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP279(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP28(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP280(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP281(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP282(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP283(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP284(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP285(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP286(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP287(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP288(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP289(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP29(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP290(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP291(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP292(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP293(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP294(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP295(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP296(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP297(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP298(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP299(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP3(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP30(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP300(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP301(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP302(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP303(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP304(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP305(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP306(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP307(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP308(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP309(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP31(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP310(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP311(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP312(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP313(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP314(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP315(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP316(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP317(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP318(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP319(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP32(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP320(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP321(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP322(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP323(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP324(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP325(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP326(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP327(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP328(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP329(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP33(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP330(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP331(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP332(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP333(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP334(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP335(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP336(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP337(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP338(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP339(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP34(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP340(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP341(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP342(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP343(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP344(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP345(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP346(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP347(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP348(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP349(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP35(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP350(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP351(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP352(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP353(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP354(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP355(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP356(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP357(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP358(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP359(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP36(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP360(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP361(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP362(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP363(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP364(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP365(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP366(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP367(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP368(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP369(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP37(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP370(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP371(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP372(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP373(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP374(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP375(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP376(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP377(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP378(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP379(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP38(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP380(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP381(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP382(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP383(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP384(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP385(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP386(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP387(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP388(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP389(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP39(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP390(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP391(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP392(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP393(X0)
      <=> X0 = e2 )
    & ! [X0] :
        ( ssSkP394(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP395(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP396(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP397(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP398(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP399(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP4(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP40(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP400(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP401(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP402(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP403(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP404(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP405(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP406(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP407(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP408(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP409(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0,X1] :
        ( ssSkP41(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP410(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP411(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP412(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0,X1] :
        ( ssSkP413(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP414(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP415(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP416(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP417(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP418(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP419(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP42(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP420(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP421(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP422(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP423(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP424(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP425(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP426(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP427(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP428(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP429(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP43(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP430(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP431(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP432(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP433(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP434(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP435(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP436(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP437(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP438(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP439(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP44(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP440(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP441(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP442(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP443(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP444(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP445(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP446(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP447(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP448(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP449(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP45(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP450(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP451(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP452(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP453(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP454(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP455(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP456(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP457(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP458(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP459(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP46(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP460(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP461(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP462(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP463(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP464(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP465(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP466(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP467(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP468(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP469(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP47(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP470(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP471(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP472(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP473(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP474(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP475(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP476(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP477(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP478(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP479(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP48(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP480(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP481(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP482(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP483(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP484(X0)
      <=> X0 = e1 )
    & ! [X0] :
        ( ssSkP49(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP5(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP50(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP51(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP52(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP53(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP54(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP55(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP56(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP57(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP58(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP59(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP6(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP60(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP61(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0,X1] :
        ( ssSkP62(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP63(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP64(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP65(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP66(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP67(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP68(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP69(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP7(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP70(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP71(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP72(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP73(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP74(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP75(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP76(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP77(X0)
      <=> ( X0 = e1
          | X0 = e2 ) )
    & ! [X0] :
        ( ssSkP78(X0)
      <=> X0 = e1 )
    & ! [X0,X1] :
        ( ssSkP79(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP8(X0)
      <=> $false )
    & ! [X0,X1] :
        ( ssSkP80(X0,X1)
      <=> ( ( X0 = e1
            & X1 = e1 )
          | ( X0 = e1
            & X1 = e2 )
          | ( X0 = e2
            & X1 = e1 )
          | ( X0 = e2
            & X1 = e2 ) ) )
    & ! [X0] :
        ( ssSkP81(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP82(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP83(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP84(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP85(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP86(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP87(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP88(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP89(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP9(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP90(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP91(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP92(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP93(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP94(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP95(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP96(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP97(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP98(X0)
      <=> $false )
    & ! [X0] :
        ( ssSkP99(X0)
      <=> $false ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN906-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : darwin -fd true -ppp true -pl 0 -to %d -pmtptp true %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Mon Jul 11 17:14:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Defaulting to tptp format.
% 0.39/0.62  SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.62  
% 0.39/0.62  MODEL (TPTP):
% 0.39/0.62  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------