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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRA160^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:01:12 AM UTC 2026

% Result   : Unsatisfiable 85.55s 12.75s
% Output   : Refutation 86.57s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_1,type,
    s: $i > $i ).

thf(func_def_2,type,
    r: $i > $i > $o ).

thf(func_def_3,type,
    b: $i > $i > $o ).

thf(f1,axiom,
    ! [X0: $i] :
      ( ( s @ X0 )
     != z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).

thf(f2,axiom,
    ! [X1: $i,X0: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).

thf(f3,axiom,
    ! [X0: $i] :
      ~ ( r @ X0 @ X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).

thf(f4,axiom,
    ! [X0: $i] :
      ~ ( b @ X0 @ X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).

thf(f5,axiom,
    ! [X1: $i,X0: $i] :
      ( ( r @ X0 @ X1 )
      | ( b @ X0 @ X1 )
      | ( X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).

thf(f6,axiom,
    ! [X1: $i,X2: $i,X0: $i,X3: $i] :
      ( ~ ( r @ X0 @ X2 )
      | ~ ( r @ X1 @ X2 )
      | ~ ( r @ X1 @ X3 )
      | ~ ( r @ X0 @ X1 )
      | ~ ( r @ X2 @ X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).

thf(f7,axiom,
    ! [X3: $i,X0: $i,X4: $i,X1: $i,X2: $i] :
      ( ~ ( b @ X1 @ X4 )
      | ~ ( b @ X0 @ X1 )
      | ~ ( b @ X0 @ X2 )
      | ~ ( b @ X0 @ X4 )
      | ~ ( b @ X2 @ X3 )
      | ~ ( b @ X3 @ X4 )
      | ~ ( b @ X1 @ X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).

thf(f8,plain,
    ! [X0: $i] :
      ~ ( b @ X0 @ X0 ),
    inference(rectify,[],[f4]) ).

thf(f9,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(fool_elimination,[],[f8]) ).

thf(f10,plain,
    ! [X0: $i,X1: $i] :
      ( ( r @ X1 @ X0 )
      | ( b @ X1 @ X0 )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f5]) ).

thf(f11,plain,
    ! [X1: $i,X0: $i] :
      ( ( X0 = X1 )
      | ( $true
        = ( r @ X1 @ X0 ) )
      | ( ( b @ X1 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f10]) ).

thf(f12,plain,
    ! [X0: $i] :
      ~ ( r @ X0 @ X0 ),
    inference(rectify,[],[f3]) ).

thf(f13,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(fool_elimination,[],[f12]) ).

thf(f14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( b @ X3 @ X2 )
      | ~ ( b @ X1 @ X3 )
      | ~ ( b @ X1 @ X4 )
      | ~ ( b @ X1 @ X2 )
      | ~ ( b @ X4 @ X0 )
      | ~ ( b @ X0 @ X2 )
      | ~ ( b @ X3 @ X4 ) ),
    inference(rectify,[],[f7]) ).

thf(f15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( b @ X3 @ X2 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X1 @ X4 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X4 @ X0 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X3 @ X4 )
       != $true ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r @ X2 @ X1 )
      | ~ ( r @ X0 @ X1 )
      | ~ ( r @ X0 @ X3 )
      | ~ ( r @ X2 @ X0 )
      | ~ ( r @ X1 @ X3 ) ),
    inference(rectify,[],[f6]) ).

thf(f17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( r @ X2 @ X1 )
       != $true )
      | ( ( r @ X0 @ X1 )
       != $true )
      | ( $true
       != ( r @ X0 @ X3 ) )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X1 @ X3 )
       != $true ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f18,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f9]) ).

thf(f19,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f13]) ).

thf(f20,plain,
    ! [X1: $i,X3: $i,X4: $i,X2: $i,X0: $i] :
      ( ( ( b @ X3 @ X4 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X3 @ X2 )
       != $true )
      | ( ( b @ X4 @ X0 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X1 @ X4 )
       != $true ) ),
    inference(flattening,[],[f15]) ).

thf(f21,plain,
    ! [X1: $i,X2: $i,X0: $i,X3: $i] :
      ( ( ( r @ X0 @ X1 )
       != $true )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X1 @ X3 )
       != $true )
      | ( $true
       != ( r @ X0 @ X3 ) )
      | ( ( r @ X2 @ X1 )
       != $true ) ),
    inference(flattening,[],[f17]) ).

thf(f22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ X0 @ X3 ) )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( $true
       != ( r @ X1 @ X0 ) ) ),
    inference(rectify,[],[f21]) ).

thf(f23,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X2 @ X4 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X4 @ X3 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true ) ),
    inference(rectify,[],[f20]) ).

thf(f25,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( ( b @ X0 @ X1 )
        = $true ) ),
    inference(rectify,[],[f11]) ).

thf(f26,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( r @ X1 @ X0 ) )
      | ( ( r @ X2 @ X0 )
       != $true )
      | ( ( r @ X2 @ X3 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( $true
       != ( r @ X0 @ X3 ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f27,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f28,plain,
    ! [X0: $i] :
      ( ( s @ X0 )
     != z ),
    inference(cnf_transformation,[],[f1]) ).

thf(f29,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f18]) ).

thf(f30,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f19]) ).

thf(f31,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
      ( ( ( b @ X4 @ X3 )
       != $true )
      | ( ( b @ X0 @ X1 )
       != $true )
      | ( ( b @ X2 @ X4 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X0 @ X3 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f32,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X0 @ X1 )
        = $true )
      | ( ( r @ X0 @ X1 )
        = $true )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f35,plain,
    ! [X0: $i] :
      ( ( $true
        = ( r @ ( s @ X0 ) @ z ) )
      | ( ( b @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(extensionality_resolution,[],[f32,f28]) ).

thf(f36,plain,
    ! [X0: $i] :
      ( ( ( b @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f32,f28]) ).

thf(f37,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
        = $true )
      | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f32,f27]) ).

thf(f42,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ X1 @ z )
       != $true )
      | ( ( b @ ( s @ X0 ) @ z )
        = $true )
      | ( $true != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ X0 ) @ X1 )
       != $true )
      | ( ( r @ z @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f26,f35]) ).

thf(f43,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ X0 ) @ X1 )
       != $true )
      | ( ( r @ z @ X2 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ X0 ) @ z )
        = $true )
      | ( ( r @ X1 @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f42]) ).

thf(f47,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X3 @ z )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( b @ X2 @ ( s @ X0 ) ) )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true ) ),
    inference(constrained_superposition,[],[f31,f36]) ).

thf(f48,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X2 @ ( s @ X0 ) ) )
      | ( ( b @ X3 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f47]) ).

thf(f50,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( $true
       != ( b @ X2 @ ( s @ X0 ) ) )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f48,f36]) ).

thf(f52,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true
       != ( b @ X2 @ ( s @ X0 ) ) )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f50]) ).

thf(f53,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X2 @ ( s @ X0 ) ) )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X1 @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f52]) ).

thf(f59,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f37,f28]) ).

thf(f60,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f37,f28]) ).

thf(f61,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
        = $true )
      | ( X0 = X1 )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f37,f27]) ).

thf(f70,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f48,f59]) ).

thf(f71,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f59]) ).

thf(f72,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ z ) )
        = $true )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f70]) ).

thf(f73,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X1 @ X3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f71]) ).

thf(f76,definition,
    ( spl0_1
  <=> ( ( r @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f77,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f76]) ).

thf(f79,definition,
    ( spl0_2
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f80,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f79]) ).

thf(f81,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f72,f79,f76]) ).

thf(f97,definition,
    ( spl0_4
  <=> ( ( b @ ( s @ z ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f98,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_4 ),
    inference(avatar_component_clause,[],[f97]) ).

thf(f100,definition,
    ( spl0_5
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

thf(f101,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f100]) ).

thf(f118,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f73,f36]) ).

thf(f122,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X2 @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f118]) ).

thf(f124,definition,
    ( spl0_6
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

thf(f125,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f124]) ).

thf(f127,definition,
    ( spl0_7
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f128,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f127]) ).

thf(f129,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f122,f127,f124]) ).

thf(f130,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_6 ),
    inference(constrained_superposition,[],[f43,f125]) ).

thf(f131,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_6 ),
    inference(constrained_superposition,[],[f26,f125]) ).

thf(f132,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f130]) ).

thf(f133,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f131]) ).

thf(f136,definition,
    ( spl0_8
  <=> ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f137,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f136]) ).

thf(f139,definition,
    ( spl0_9
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f140,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f139]) ).

thf(f143,definition,
    ( spl0_10
  <=> ( ( r @ ( s @ z ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f144,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | spl0_10 ),
    inference(avatar_component_clause,[],[f143]) ).

thf(f145,plain,
    ( spl0_8
    | ~ spl0_10
    | spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f132,f124,f139,f143,f136]) ).

thf(f146,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
      = $true )
    | spl0_10 ),
    inference(constrained_superposition,[],[f144,f35]) ).

thf(f147,plain,
    ( ( ( b @ ( s @ z ) @ z )
      = $true )
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f146]) ).

thf(f166,definition,
    ( spl0_11
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

thf(f167,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f166]) ).

thf(f173,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_6 ),
    inference(constrained_superposition,[],[f133,f35]) ).

thf(f175,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f173]) ).

thf(f178,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f175,f77]) ).

thf(f179,plain,
    ( spl0_9
    | spl0_8
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f178,f124,f76,f136,f139]) ).

thf(f189,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f31,f137]) ).

thf(f191,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f189]) ).

thf(f194,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f191,f36]) ).

thf(f198,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f194]) ).

thf(f199,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f198]) ).

thf(f201,definition,
    ( spl0_12
  <=> ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

thf(f202,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f201]) ).

thf(f203,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f199,f136,f201,f166]) ).

thf(f208,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f73,f60]) ).

thf(f209,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true ) ),
    inference(constrained_superposition,[],[f53,f60]) ).

thf(f211,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X3 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f60]) ).

thf(f212,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f208]) ).

thf(f213,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f212]) ).

thf(f214,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f209]) ).

thf(f216,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X3 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f211]) ).

thf(f220,definition,
    ( spl0_13
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

thf(f221,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f220]) ).

thf(f223,definition,
    ( spl0_14
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

thf(f224,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f223]) ).

thf(f225,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f213,f223,f220]) ).

thf(f226,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ z @ X1 )
         != $true ) )
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f214,f147]) ).

thf(f228,definition,
    ( spl0_15
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

thf(f229,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f228]) ).

thf(f231,definition,
    ( spl0_16
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

thf(f232,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ z @ X1 )
         != $true ) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f231]) ).

thf(f233,plain,
    ( spl0_15
    | spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f226,f143,f231,f228]) ).

thf(f234,plain,
    ( spl0_15
    | ~ spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f214,f231,f97,f228]) ).

thf(f236,definition,
    ( spl0_17
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

thf(f237,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f236]) ).

thf(f238,plain,
    ( ( ( b @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f97]) ).

thf(f259,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f216,f60]) ).

thf(f262,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ z ) @ X2 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f259]) ).

thf(f263,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ ( s @ z ) @ X2 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f262]) ).

thf(f278,definition,
    ( spl0_19
  <=> ( ( b @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

thf(f279,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_19 ),
    inference(avatar_component_clause,[],[f278]) ).

thf(f281,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_19 ),
    inference(constrained_superposition,[],[f279,f36]) ).

thf(f283,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_19 ),
    inference(trivial_inequality_removal,[],[f281]) ).

thf(f285,plain,
    ( spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f283,f278,f76]) ).

thf(f287,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f26,f77]) ).

thf(f288,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f287]) ).

thf(f331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f43,f221]) ).

thf(f333,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f331]) ).

thf(f346,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f61,f27]) ).

thf(f348,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f61,f28]) ).

thf(f349,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f61,f28]) ).

thf(f371,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true ) ),
    inference(constrained_superposition,[],[f216,f348]) ).

thf(f373,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
        = $true ) ),
    inference(constrained_superposition,[],[f73,f348]) ).

thf(f374,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
       != $true )
      | ( ( b @ z @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f53,f348]) ).

thf(f375,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f48,f348]) ).

thf(f376,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f348]) ).

thf(f377,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f373]) ).

thf(f378,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ z @ X1 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f374]) ).

thf(f379,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f371]) ).

thf(f381,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f376]) ).

thf(f384,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f375]) ).

thf(f387,definition,
    ( spl0_20
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

thf(f388,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f387]) ).

thf(f390,definition,
    ( spl0_21
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

thf(f391,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f390]) ).

thf(f392,plain,
    ( spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f377,f390,f387]) ).

thf(f394,definition,
    ( spl0_22
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ z @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

thf(f395,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f394]) ).

thf(f397,definition,
    ( spl0_23
  <=> ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

thf(f398,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f397]) ).

thf(f399,plain,
    ( spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f378,f397,f394]) ).

thf(f401,definition,
    ( spl0_24
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

thf(f402,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f401]) ).

thf(f404,definition,
    ( spl0_25
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

thf(f405,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f404]) ).

thf(f406,plain,
    ( spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f379,f404,f401]) ).

thf(f408,definition,
    ( spl0_26
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

thf(f409,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f408]) ).

thf(f416,definition,
    ( spl0_28
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

thf(f417,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f416]) ).

thf(f418,plain,
    ( spl0_28
    | spl0_23 ),
    inference(avatar_split_clause,[],[f384,f397,f416]) ).

thf(f420,definition,
    ( spl0_29
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

thf(f421,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f420]) ).

thf(f438,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f140,f402]) ).

thf(f445,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f438]) ).

thf(f450,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f445,f398]) ).

thf(f451,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f450]) ).

thf(f454,definition,
    ( spl0_30
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

thf(f455,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f454]) ).

thf(f456,plain,
    ( spl0_30
    | ~ spl0_10
    | spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f333,f220,f139,f143,f454]) ).

thf(f458,definition,
    ( spl0_31
  <=> ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

thf(f459,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f458]) ).

thf(f462,plain,
    ( ( ( b @ ( s @ z ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_10 ),
    inference(constrained_superposition,[],[f144,f35]) ).

thf(f463,plain,
    ( ( ( b @ ( s @ z ) @ z )
      = $true )
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f462]) ).

thf(f490,definition,
    ( spl0_32
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

thf(f491,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | spl0_32 ),
    inference(avatar_component_clause,[],[f490]) ).

thf(f493,definition,
    ( spl0_33
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

thf(f494,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f493]) ).

thf(f496,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(constrained_superposition,[],[f491,f59]) ).

thf(f498,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(constrained_superposition,[],[f491,f32]) ).

thf(f500,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(trivial_inequality_removal,[],[f496]) ).

thf(f501,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(trivial_inequality_removal,[],[f498]) ).

thf(f507,definition,
    ( spl0_34
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

thf(f508,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f507]) ).

thf(f511,definition,
    ( spl0_35
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

thf(f512,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f511]) ).

thf(f515,plain,
    ( spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f500,f490,f387]) ).

thf(f517,definition,
    ( spl0_36
  <=> ( ( s @ ( s @ z ) )
      = ( s @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

thf(f518,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f517]) ).

thf(f519,plain,
    ( spl0_20
    | spl0_36
    | spl0_32 ),
    inference(avatar_split_clause,[],[f501,f490,f517,f387]) ).

thf(f521,definition,
    ( spl0_37
  <=> ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

thf(f522,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_37 ),
    inference(avatar_component_clause,[],[f521]) ).

thf(f524,definition,
    ( spl0_38
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

thf(f525,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f524]) ).

thf(f534,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_31 ),
    inference(avatar_component_clause,[],[f458]) ).

thf(f537,plain,
    ( spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f463,f143,f97]) ).

thf(f540,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | spl0_31 ),
    inference(constrained_superposition,[],[f534,f32]) ).

thf(f541,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f540]) ).

thf(f542,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f541,f28]) ).

thf(f551,definition,
    ( spl0_41
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

thf(f552,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f551]) ).

thf(f556,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f26,f221]) ).

thf(f558,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f556]) ).

thf(f588,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_26 ),
    inference(constrained_superposition,[],[f409,f59]) ).

thf(f593,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f588]) ).

thf(f595,plain,
    ( spl0_33
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f593,f408,f493]) ).

thf(f617,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_7 ),
    inference(constrained_superposition,[],[f128,f59]) ).

thf(f621,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true ) )
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f617]) ).

thf(f632,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f558,f35]) ).

thf(f634,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f632]) ).

thf(f683,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f381,f36]) ).

thf(f690,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f683]) ).

thf(f693,definition,
    ( spl0_42
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

thf(f694,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f693]) ).

thf(f696,definition,
    ( spl0_43
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

thf(f697,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f696]) ).

thf(f698,plain,
    ( spl0_42
    | spl0_43 ),
    inference(avatar_split_clause,[],[f690,f696,f693]) ).

thf(f700,definition,
    ( spl0_44
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

thf(f701,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f700]) ).

thf(f721,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(constrained_superposition,[],[f558,f701]) ).

thf(f723,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_44 ),
    inference(constrained_superposition,[],[f43,f701]) ).

thf(f730,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f723]) ).

thf(f732,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f721]) ).

thf(f733,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f732]) ).

thf(f736,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f730,f542]) ).

thf(f737,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | spl0_20 ),
    inference(avatar_component_clause,[],[f387]) ).

thf(f739,definition,
    ( spl0_46
  <=> ! [X0: $i] :
        ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

thf(f740,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f739]) ).

thf(f742,definition,
    ( spl0_47
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

thf(f743,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f742]) ).

thf(f744,plain,
    ( ~ spl0_20
    | spl0_46
    | spl0_47
    | ~ spl0_13
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f733,f700,f220,f742,f739,f387]) ).

thf(f748,definition,
    ( spl0_48
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

thf(f749,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f748]) ).

thf(f750,plain,
    ( spl0_38
    | spl0_48
    | spl0_31
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f736,f700,f458,f748,f524]) ).

thf(f772,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(constrained_superposition,[],[f552,f494]) ).

thf(f776,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true ) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f772]) ).

thf(f781,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f776,f221]) ).

thf(f784,definition,
    ( spl0_49
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

thf(f785,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f784]) ).

thf(f787,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(constrained_superposition,[],[f781,f35]) ).

thf(f788,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f787]) ).

thf(f789,plain,
    ( spl0_49
    | ~ spl0_13
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f788,f551,f493,f220,f784]) ).

thf(f817,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f381,f349]) ).

thf(f821,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X1 )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f263,f349]) ).

thf(f826,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f31,f349]) ).

thf(f827,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f826]) ).

thf(f832,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f817]) ).

thf(f833,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f832]) ).

thf(f837,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X1 )
       != $true )
      | ( ( b @ ( s @ z ) @ X1 )
       != $true )
      | ( ( b @ X1 @ ( s @ z ) )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f821]) ).

thf(f844,definition,
    ( spl0_51
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

thf(f845,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f844]) ).

thf(f847,definition,
    ( spl0_52
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

thf(f848,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f847]) ).

thf(f849,plain,
    ( spl0_51
    | spl0_52 ),
    inference(avatar_split_clause,[],[f833,f847,f844]) ).

thf(f855,definition,
    ( spl0_54
  <=> ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

thf(f856,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f855]) ).

thf(f858,definition,
    ( spl0_55
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

thf(f859,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f858]) ).

thf(f860,plain,
    ( ~ spl0_32
    | spl0_54
    | spl0_55 ),
    inference(avatar_split_clause,[],[f837,f858,f855,f490]) ).

thf(f869,definition,
    ( spl0_58
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

thf(f870,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f869]) ).

thf(f878,definition,
    ( spl0_60
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

thf(f879,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f878]) ).

thf(f885,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | spl0_31 ),
    inference(constrained_superposition,[],[f534,f32]) ).

thf(f886,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f885]) ).

thf(f887,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f886,f28]) ).

thf(f891,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_31 ),
    inference(constrained_superposition,[],[f26,f887]) ).

thf(f894,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f891]) ).

thf(f900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f26,f388]) ).

thf(f901,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f900]) ).

thf(f913,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_60 ),
    inference(constrained_superposition,[],[f879,f32]) ).

thf(f923,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_60 ),
    inference(trivial_inequality_removal,[],[f913]) ).

thf(f938,definition,
    ( spl0_61
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

thf(f939,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f938]) ).

thf(f945,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f856,f32]) ).

thf(f948,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true ) )
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f945]) ).

thf(f1017,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_58 ),
    inference(constrained_superposition,[],[f870,f60]) ).

thf(f1020,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_58 ),
    inference(trivial_inequality_removal,[],[f1017]) ).

thf(f1025,definition,
    ( spl0_62
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

thf(f1026,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_62 ),
    inference(avatar_component_clause,[],[f1025]) ).

thf(f1027,plain,
    ( ~ spl0_62
    | spl0_44
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1020,f869,f700,f1025]) ).

thf(f1029,definition,
    ( spl0_63
  <=> ( ( b @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

thf(f1030,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_63 ),
    inference(avatar_component_clause,[],[f1029]) ).

thf(f1032,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_63 ),
    inference(constrained_superposition,[],[f1030,f36]) ).

thf(f1035,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_63 ),
    inference(trivial_inequality_removal,[],[f1032]) ).

thf(f1036,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_62 ),
    inference(constrained_superposition,[],[f1026,f60]) ).

thf(f1041,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_62 ),
    inference(trivial_inequality_removal,[],[f1036]) ).

thf(f1044,plain,
    ( spl0_24
    | spl0_62 ),
    inference(avatar_split_clause,[],[f1041,f1025,f401]) ).

thf(f1045,plain,
    ( spl0_23
    | spl0_63 ),
    inference(avatar_split_clause,[],[f1035,f1029,f397]) ).

thf(f1086,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f827,f349]) ).

thf(f1090,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f1086]) ).

thf(f1091,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f1090]) ).

thf(f1135,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f43,f697]) ).

thf(f1141,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_43 ),
    inference(constrained_superposition,[],[f26,f697]) ).

thf(f1144,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1141]) ).

thf(f1151,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1135]) ).

thf(f1155,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f1151,f887]) ).

thf(f1157,definition,
    ( spl0_65
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

thf(f1158,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f1157]) ).

thf(f1160,plain,
    ( spl0_65
    | spl0_38
    | spl0_31
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1155,f696,f458,f524,f1157]) ).

thf(f1176,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(constrained_superposition,[],[f1144,f785]) ).

thf(f1181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(trivial_inequality_removal,[],[f1176]) ).

thf(f1185,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_24
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f1181,f402]) ).

thf(f1186,plain,
    ( spl0_47
    | spl0_65
    | ~ spl0_24
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1185,f784,f696,f401,f1157,f742]) ).

thf(f1194,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_65 ),
    inference(constrained_superposition,[],[f31,f1158]) ).

thf(f1196,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_65 ),
    inference(trivial_inequality_removal,[],[f1194]) ).

thf(f1204,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_65 ),
    inference(constrained_superposition,[],[f1196,f36]) ).

thf(f1214,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_65 ),
    inference(duplicate_literal_removal,[],[f1204]) ).

thf(f1215,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_65 ),
    inference(trivial_inequality_removal,[],[f1214]) ).

thf(f1217,definition,
    ( spl0_66
  <=> ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

thf(f1218,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f1217]) ).

thf(f1219,plain,
    ( spl0_11
    | spl0_66
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1215,f1157,f1217,f166]) ).

thf(f1268,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_60 ),
    inference(constrained_superposition,[],[f923,f37]) ).

thf(f1274,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ z )
         != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
          = $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_60 ),
    inference(trivial_inequality_removal,[],[f1268]) ).

thf(f1279,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f558,f845]) ).

thf(f1281,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f43,f845]) ).

thf(f1290,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f1279]) ).

thf(f1300,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f1281]) ).

thf(f1304,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1290,f388]) ).

thf(f1308,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | spl0_31
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f1300,f887]) ).

thf(f1311,plain,
    ( spl0_55
    | spl0_47
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1304,f844,f387,f220,f742,f858]) ).

thf(f1314,definition,
    ( spl0_67
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

thf(f1315,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f1314]) ).

thf(f1317,plain,
    ( spl0_67
    | spl0_38
    | spl0_31
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1308,f844,f458,f524,f1314]) ).

thf(f1564,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(constrained_superposition,[],[f525,f388]) ).

thf(f1567,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(trivial_inequality_removal,[],[f1564]) ).

thf(f1572,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1567,f77]) ).

thf(f1573,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(avatar_contradiction_clause,[],[f1572]) ).

thf(f1849,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(constrained_superposition,[],[f558,f859]) ).

thf(f1851,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_55 ),
    inference(constrained_superposition,[],[f43,f859]) ).

thf(f1857,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_55 ),
    inference(constrained_superposition,[],[f26,f859]) ).

thf(f1862,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(trivial_inequality_removal,[],[f1849]) ).

thf(f1866,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_55 ),
    inference(trivial_inequality_removal,[],[f1851]) ).

thf(f1867,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_55 ),
    inference(trivial_inequality_removal,[],[f1857]) ).

thf(f1870,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f1862,f221]) ).

thf(f1872,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | spl0_31
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f1866,f534]) ).

thf(f1999,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f894,f1315]) ).

thf(f2000,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f558,f1315]) ).

thf(f2008,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f26,f1315]) ).

thf(f2013,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f1999]) ).

thf(f2017,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2000]) ).

thf(f2019,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2008]) ).

thf(f2023,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2013,f35]) ).

thf(f2026,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | spl0_31
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2023,f221]) ).

thf(f2027,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | spl0_31
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2026]) ).

thf(f2030,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2027,f77]) ).

thf(f2031,plain,
    ( spl0_48
    | ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2030,f1314,f458,f220,f76,f748]) ).

thf(f2056,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2019,f749]) ).

thf(f2061,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_48 ),
    inference(constrained_superposition,[],[f26,f749]) ).

thf(f2064,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_48 ),
    inference(trivial_inequality_removal,[],[f2061]) ).

thf(f2070,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f2056]) ).

thf(f2071,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2070]) ).

thf(f2074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2071,f388]) ).

thf(f2096,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2064,f1315]) ).

thf(f2100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f2096]) ).

thf(f2101,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2100]) ).

thf(f2106,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2101,f402]) ).

thf(f2108,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2106,f35]) ).

thf(f2111,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f2108]) ).

thf(f2112,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2111]) ).

thf(f2113,plain,
    ( ! [X0: $i] :
        ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2112,f887]) ).

thf(f2120,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f31,f2113]) ).

thf(f2122,plain,
    ( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
        ( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ X3 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X3 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2120]) ).

thf(f2194,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2122,f36]) ).

thf(f2200,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f2194]) ).

thf(f2201,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2200]) ).

thf(f2206,plain,
    ( spl0_66
    | spl0_11
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2201,f1314,f748,f458,f401,f166,f1217]) ).

thf(f2210,definition,
    ( spl0_72
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

thf(f2211,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f2210]) ).

thf(f2212,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_24 ),
    inference(avatar_component_clause,[],[f401]) ).

thf(f2213,plain,
    ( spl0_72
    | ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2101,f1314,f748,f401,f2210]) ).

thf(f2236,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_23 ),
    inference(avatar_component_clause,[],[f397]) ).

thf(f2239,definition,
    ( spl0_78
  <=> ! [X0: $i] :
        ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

thf(f2240,plain,
    ( ! [X0: $i] :
        ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f2239]) ).

thf(f2411,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f232,f32]) ).

thf(f2414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f2411]) ).

thf(f2433,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(constrained_superposition,[],[f2074,f35]) ).

thf(f2436,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f2433]) ).

thf(f2437,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(trivial_inequality_removal,[],[f2436]) ).

thf(f2438,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f417,f348]) ).

thf(f2451,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f2438]) ).

thf(f2452,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f2451]) ).

thf(f2456,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_25 ),
    inference(constrained_superposition,[],[f405,f348]) ).

thf(f2471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f2456]) ).

thf(f2472,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_25 ),
    inference(trivial_inequality_removal,[],[f2471]) ).

thf(f2487,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( z = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
          = $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f2414,f32]) ).

thf(f2488,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f2487]) ).

thf(f2645,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f512,f845]) ).

thf(f2647,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f552,f845]) ).

thf(f2648,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f26,f845]) ).

thf(f2652,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true ) )
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2647]) ).

thf(f2653,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2645]) ).

thf(f2657,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2648]) ).

thf(f2658,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f2652,f859]) ).

thf(f2659,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f2653,f859]) ).

thf(f2666,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f2657,f221]) ).

thf(f2668,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f2666]) ).

thf(f2676,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f948,f32]) ).

thf(f2679,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true ) )
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f2676]) ).

thf(f2802,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_54 ),
    inference(constrained_superposition,[],[f2679,f32]) ).

thf(f2807,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true ) )
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2802]) ).

thf(f2808,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_54 ),
    inference(trivial_inequality_removal,[],[f2807]) ).

thf(f2995,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f346,f28]) ).

thf(f2996,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f346,f28]) ).

thf(f3305,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f827,f2995]) ).

thf(f3306,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f381,f2995]) ).

thf(f3309,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f216,f2995]) ).

thf(f3313,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X1 @ X3 )
       != $true ) ),
    inference(constrained_superposition,[],[f31,f2995]) ).

thf(f3314,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f3306]) ).

thf(f3315,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f3305]) ).

thf(f3316,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f3309]) ).

thf(f3322,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f3313]) ).

thf(f3327,definition,
    ( spl0_83
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

thf(f3328,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f3327]) ).

thf(f3330,definition,
    ( spl0_84
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

thf(f3331,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f3330]) ).

thf(f3332,plain,
    ( spl0_83
    | spl0_84 ),
    inference(avatar_split_clause,[],[f3314,f3330,f3327]) ).

thf(f3334,definition,
    ( spl0_85
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

thf(f3335,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f3334]) ).

thf(f3337,definition,
    ( spl0_86
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

thf(f3338,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f3337]) ).

thf(f3339,plain,
    ( spl0_85
    | spl0_86 ),
    inference(avatar_split_clause,[],[f3315,f3337,f3334]) ).

thf(f3341,definition,
    ( spl0_87
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

thf(f3342,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f3341]) ).

thf(f3344,definition,
    ( spl0_88
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

thf(f3345,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f3344]) ).

thf(f3346,plain,
    ( spl0_87
    | spl0_88 ),
    inference(avatar_split_clause,[],[f3316,f3344,f3341]) ).

thf(f3351,definition,
    ( spl0_90
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

thf(f3352,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f3351]) ).

thf(f3366,definition,
    ( spl0_94
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

thf(f3367,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f3366]) ).

thf(f3370,definition,
    ( spl0_95
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

thf(f3371,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_95 ),
    inference(avatar_component_clause,[],[f3370]) ).

thf(f3385,definition,
    ( spl0_99
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

thf(f3386,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_99 ),
    inference(avatar_component_clause,[],[f3385]) ).

thf(f3413,definition,
    ( spl0_100
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

thf(f3414,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f3413]) ).

thf(f3417,definition,
    ( spl0_101
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

thf(f3418,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f3417]) ).

thf(f3420,definition,
    ( spl0_102
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

thf(f3421,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f3420]) ).

thf(f3425,definition,
    ( spl0_103
  <=> ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

thf(f3426,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f3425]) ).

thf(f3432,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_99 ),
    inference(constrained_superposition,[],[f3386,f32]) ).

thf(f3436,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_99 ),
    inference(trivial_inequality_removal,[],[f3432]) ).

thf(f3440,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3436,f28]) ).

thf(f3442,plain,
    ( spl0_100
    | spl0_99 ),
    inference(avatar_split_clause,[],[f3440,f3385,f3413]) ).

thf(f3473,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f2658,f3414]) ).

thf(f3474,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f1872,f3414]) ).

thf(f3481,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f26,f3414]) ).

thf(f3482,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f3481]) ).

thf(f3484,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f3474]) ).

thf(f3486,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f3473]) ).

thf(f3492,plain,
    ( spl0_87
    | spl0_103
    | spl0_31
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3484,f3413,f858,f458,f3425,f3341]) ).

thf(f3493,plain,
    ( spl0_86
    | ~ spl0_41
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3486,f3413,f858,f844,f551,f3337]) ).

thf(f3494,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2659,f3367]) ).

thf(f3509,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f3494]) ).

thf(f3517,plain,
    ( spl0_86
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f3509,f3366,f858,f844,f511,f3337]) ).

thf(f3519,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_95 ),
    inference(constrained_superposition,[],[f3371,f59]) ).

thf(f3521,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_95 ),
    inference(constrained_superposition,[],[f3371,f32]) ).

thf(f3522,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_95 ),
    inference(trivial_inequality_removal,[],[f3521]) ).

thf(f3524,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_95 ),
    inference(trivial_inequality_removal,[],[f3519]) ).

thf(f3525,plain,
    ( spl0_101
    | spl0_94
    | spl0_95 ),
    inference(avatar_split_clause,[],[f3522,f3370,f3366,f3417]) ).

thf(f3527,plain,
    ( spl0_94
    | spl0_95 ),
    inference(avatar_split_clause,[],[f3524,f3370,f3366]) ).

thf(f3534,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f43,f3328]) ).

thf(f3535,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f512,f3328]) ).

thf(f3536,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f508,f3328]) ).

thf(f3539,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f3535]) ).

thf(f3541,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f3534]) ).

thf(f3548,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f3536]) ).

thf(f3549,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_87 ),
    inference(avatar_component_clause,[],[f3341]) ).

thf(f3550,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_94 ),
    inference(avatar_component_clause,[],[f3366]) ).

thf(f3551,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_35
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3539,f3327,f511,f3366,f3341]) ).

thf(f3552,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f3541,f887]) ).

thf(f3555,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f3385]) ).

thf(f3556,plain,
    ( spl0_99
    | spl0_38
    | spl0_31
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3552,f3327,f458,f524,f3385]) ).

thf(f3567,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f1274,f3555]) ).

thf(f3573,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f2488,f3555]) ).

thf(f3574,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f31,f3555]) ).

thf(f3576,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f3574]) ).

thf(f3577,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f3573]) ).

thf(f3589,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f3567]) ).

thf(f3592,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3577,f28]) ).

thf(f3594,definition,
    ( spl0_104
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

thf(f3595,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_104 ),
    inference(avatar_component_clause,[],[f3594]) ).

thf(f3604,definition,
    ( spl0_106
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

thf(f3605,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f3604]) ).

thf(f3607,plain,
    ( spl0_101
    | spl0_87
    | spl0_90
    | ~ spl0_16
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f3592,f3385,f231,f3351,f3341,f3417]) ).

thf(f3609,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f140,f3342]) ).

thf(f3617,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f26,f3342]) ).

thf(f3618,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f3617]) ).

thf(f3625,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f3609]) ).

thf(f3628,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_28 ),
    inference(constrained_superposition,[],[f417,f2996]) ).

thf(f3638,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f31,f2996]) ).

thf(f3640,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ X3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f3638]) ).

thf(f3645,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_28 ),
    inference(trivial_inequality_removal,[],[f3628]) ).

thf(f3663,definition,
    ( spl0_110
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

thf(f3664,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_110 ),
    inference(avatar_component_clause,[],[f3663]) ).

thf(f3709,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_110 ),
    inference(constrained_superposition,[],[f3664,f348]) ).

thf(f3712,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_110 ),
    inference(constrained_superposition,[],[f3664,f32]) ).

thf(f3714,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_110 ),
    inference(trivial_inequality_removal,[],[f3712]) ).

thf(f3716,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_110 ),
    inference(trivial_inequality_removal,[],[f3709]) ).

thf(f3725,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f3426,f3367]) ).

thf(f3734,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f3725]) ).

thf(f3739,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_94
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f3734,f77]) ).

thf(f3740,plain,
    ( ~ spl0_1
    | ~ spl0_94
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f3739]) ).

thf(f3834,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f3482,f3328]) ).

thf(f3835,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_51
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f3482,f845]) ).

thf(f3842,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f3834]) ).

thf(f3845,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_51
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f3835]) ).

thf(f3854,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3842,f887]) ).

thf(f3855,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_51
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3845,f887]) ).

thf(f3856,plain,
    ( spl0_38
    | spl0_31
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3854,f3413,f3327,f458,f524]) ).

thf(f3857,plain,
    ( spl0_38
    | spl0_86
    | spl0_31
    | ~ spl0_51
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3855,f3413,f844,f458,f3337,f524]) ).

thf(f3858,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_90 ),
    inference(avatar_component_clause,[],[f3351]) ).

thf(f3859,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_100 ),
    inference(avatar_component_clause,[],[f3413]) ).

thf(f3860,plain,
    ( ~ spl0_90
    | ~ spl0_100
    | ~ spl0_34
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3548,f3327,f507,f3413,f3351]) ).

thf(f3861,plain,
    ( ~ spl0_90
    | ~ spl0_9
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f3625,f3341,f139,f3351]) ).

thf(f3890,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f3618,f3328]) ).

thf(f3891,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_51
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f3618,f845]) ).

thf(f3899,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_51
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f3891]) ).

thf(f3905,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f3890]) ).

thf(f3908,definition,
    ( spl0_117
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

thf(f3909,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f3908]) ).

thf(f3910,plain,
    ( spl0_86
    | spl0_117
    | ~ spl0_51
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f3899,f3341,f844,f3908,f3337]) ).

thf(f3911,plain,
    ( spl0_117
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f3905,f3341,f3327,f3908]) ).

thf(f3913,definition,
    ( spl0_118
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

thf(f3914,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f3913]) ).

thf(f3915,plain,
    ( spl0_118
    | spl0_83
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f3645,f416,f3327,f3913]) ).

thf(f3916,plain,
    ( spl0_102
    | spl0_83
    | spl0_110 ),
    inference(avatar_split_clause,[],[f3714,f3663,f3327,f3420]) ).

thf(f3919,definition,
    ( spl0_119
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

thf(f3920,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f3919]) ).

thf(f3928,plain,
    ( spl0_83
    | spl0_110 ),
    inference(avatar_split_clause,[],[f3716,f3663,f3327]) ).

thf(f3930,definition,
    ( spl0_121
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

thf(f3931,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f3930]) ).

thf(f3933,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_20
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f901,f3338]) ).

thf(f3957,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f3933]) ).

thf(f3990,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_121 ),
    inference(constrained_superposition,[],[f3931,f59]) ).

thf(f4007,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_121 ),
    inference(trivial_inequality_removal,[],[f3990]) ).

thf(f4015,definition,
    ( spl0_122
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

thf(f4016,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f4015]) ).

thf(f4017,plain,
    ( spl0_122
    | ~ spl0_94
    | ~ spl0_20
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f3957,f3337,f387,f3366,f4015]) ).

thf(f4044,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f4016,f845]) ).

thf(f4060,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f4044]) ).

thf(f4210,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f3576,f36]) ).

thf(f4217,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_99 ),
    inference(duplicate_literal_removal,[],[f4210]) ).

thf(f4218,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f4217]) ).

thf(f4229,plain,
    ( ~ spl0_62
    | spl0_94
    | ~ spl0_4
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f4007,f3930,f97,f3366,f1025]) ).

thf(f4239,plain,
    ( spl0_78
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2437,f1314,f748,f387,f143,f2239]) ).

thf(f4247,plain,
    ( spl0_11
    | spl0_90
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f4218,f3385,f3351,f166]) ).

thf(f4265,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f3589,f28]) ).

thf(f4271,plain,
    ( spl0_87
    | spl0_83
    | spl0_102
    | ~ spl0_60
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f4265,f3385,f878,f3420,f3327,f3341]) ).

thf(f4279,definition,
    ( spl0_130
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

thf(f4280,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f4279]) ).

thf(f4295,definition,
    ( spl0_132
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

thf(f4296,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f4295]) ).

thf(f4297,plain,
    ( ~ spl0_20
    | spl0_132
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2071,f1314,f748,f4295,f387]) ).

thf(f4299,plain,
    ( ~ spl0_32
    | spl0_58
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f2472,f404,f869,f490]) ).

thf(f4308,definition,
    ( spl0_134
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

thf(f4309,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f4308]) ).

thf(f4378,plain,
    ( ( $true
      = ( b @ ( s @ z ) @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_36 ),
    inference(constrained_superposition,[],[f59,f518]) ).

thf(f4525,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f4378,f29]) ).

thf(f4561,plain,
    ( $false
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f4525,f30]) ).

thf(f4562,plain,
    ~ spl0_36,
    inference(avatar_contradiction_clause,[],[f4561]) ).

thf(f4569,definition,
    ( spl0_145
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

thf(f4570,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_145 ),
    inference(avatar_component_clause,[],[f4569]) ).

thf(f4602,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f1867,f3352]) ).

thf(f4611,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f4602]) ).

thf(f4613,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[],[f4611,f887]) ).

thf(f4614,plain,
    ( spl0_103
    | spl0_87
    | spl0_31
    | ~ spl0_55
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f4613,f3351,f858,f458,f3341,f3425]) ).

thf(f4615,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_13
    | spl0_20 ),
    inference(constrained_superposition,[],[f737,f221]) ).

thf(f4618,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_13
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f4615]) ).

thf(f4621,plain,
    ( $false
    | ~ spl0_13
    | spl0_20
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f4618,f2212]) ).

thf(f4622,plain,
    ( ~ spl0_13
    | spl0_20
    | spl0_24 ),
    inference(avatar_contradiction_clause,[],[f4621]) ).

thf(f4623,plain,
    ( spl0_24
    | ~ spl0_13
    | spl0_20 ),
    inference(avatar_split_clause,[],[f4618,f387,f220,f401]) ).

thf(f4628,plain,
    ( spl0_86
    | ~ spl0_24
    | ~ spl0_51
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f4060,f4015,f844,f401,f3337]) ).

thf(f4635,definition,
    ( spl0_149
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

thf(f4636,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f4635]) ).

thf(f4637,plain,
    ( spl0_149
    | spl0_24
    | ~ spl0_13
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2017,f1314,f220,f401,f4635]) ).

thf(f4643,definition,
    ( spl0_150
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

thf(f4644,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f4643]) ).

thf(f4645,plain,
    ( spl0_150
    | spl0_24
    | ~ spl0_13
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1870,f858,f220,f401,f4643]) ).

thf(f4651,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f288,f402]) ).

thf(f4654,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f26,f402]) ).

thf(f4656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f4651]) ).

thf(f4658,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f4654]) ).

thf(f4664,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_104 ),
    inference(constrained_superposition,[],[f3595,f36]) ).

thf(f4666,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_104 ),
    inference(trivial_inequality_removal,[],[f4664]) ).

thf(f4672,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_13
    | spl0_94 ),
    inference(constrained_superposition,[],[f3550,f221]) ).

thf(f4673,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_94 ),
    inference(trivial_inequality_removal,[],[f4672]) ).

thf(f4674,plain,
    ( $false
    | ~ spl0_13
    | spl0_87
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f4673,f3549]) ).

thf(f4675,plain,
    ( ~ spl0_13
    | spl0_87
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f4674]) ).

thf(f4676,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_24
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f2668,f402]) ).

thf(f4681,plain,
    ( spl0_55
    | spl0_47
    | ~ spl0_13
    | ~ spl0_24
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f4676,f844,f401,f220,f742,f858]) ).

thf(f4723,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f167,f3555]) ).

thf(f4730,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f4723]) ).

thf(f4746,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f4730,f60]) ).

thf(f4747,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f4746]) ).

thf(f4758,plain,
    ( spl0_90
    | spl0_104 ),
    inference(avatar_split_clause,[],[f4666,f3594,f3351]) ).

thf(f4760,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f4747,f238]) ).

thf(f4761,plain,
    ( spl0_87
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f4760,f3385,f166,f97,f3341]) ).

thf(f4804,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f4656,f3328]) ).

thf(f4811,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f4804]) ).

thf(f4823,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f848,f36]) ).

thf(f4831,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f4823]) ).

thf(f4834,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) )
    | spl0_23
    | ~ spl0_52 ),
    inference(forward_subsumption_resolution,[],[f4831,f2236]) ).

thf(f4839,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | spl0_23
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f4834,f348]) ).

thf(f4842,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | spl0_23
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f4839]) ).

thf(f4861,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | spl0_23
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f4842,f36]) ).

thf(f4863,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | spl0_23
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f4861]) ).

thf(f4865,plain,
    ( spl0_43
    | spl0_23
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f4863,f847,f397,f696]) ).

thf(f4915,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_72 ),
    inference(constrained_superposition,[],[f2211,f35]) ).

thf(f4925,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_72 ),
    inference(duplicate_literal_removal,[],[f4915]) ).

thf(f4926,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_72 ),
    inference(trivial_inequality_removal,[],[f4925]) ).

thf(f4934,plain,
    ( ! [X0: $i] :
        ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
        = $true )
    | spl0_31
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f4926,f887]) ).

thf(f4935,plain,
    ( spl0_78
    | spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f4934,f2210,f458,f2239]) ).

thf(f5105,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_24
    | spl0_31 ),
    inference(constrained_superposition,[],[f4658,f887]) ).

thf(f5117,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_24
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f5105]) ).

thf(f5122,plain,
    ( spl0_41
    | ~ spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f5117,f458,f401,f551]) ).

thf(f5181,plain,
    ( ~ spl0_94
    | ~ spl0_90
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f4811,f3327,f401,f76,f3351,f3366]) ).

thf(f5183,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(constrained_superposition,[],[f3909,f3352]) ).

thf(f5187,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f26,f3352]) ).

thf(f5188,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(trivial_inequality_removal,[],[f5183]) ).

thf(f5189,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f5187]) ).

thf(f5203,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
    | ~ spl0_66 ),
    inference(constrained_superposition,[],[f26,f1218]) ).

thf(f5206,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_66 ),
    inference(trivial_inequality_removal,[],[f5203]) ).

thf(f5214,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f26,f3367]) ).

thf(f5218,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f5214]) ).

thf(f5260,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_119 ),
    inference(constrained_superposition,[],[f3920,f60]) ).

thf(f5264,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_119 ),
    inference(trivial_inequality_removal,[],[f5260]) ).

thf(f5270,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_87
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f5264,f3549]) ).

thf(f5272,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | spl0_87
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f5270,f238]) ).

thf(f5273,plain,
    ( ~ spl0_62
    | ~ spl0_4
    | spl0_87
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f5272,f3919,f3341,f97,f1025]) ).

thf(f5311,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_66 ),
    inference(constrained_superposition,[],[f5206,f749]) ).

thf(f5323,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_48
    | ~ spl0_66 ),
    inference(trivial_inequality_removal,[],[f5311]) ).

thf(f5502,definition,
    ( spl0_156
  <=> ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

thf(f5503,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true ) )
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f5502]) ).

thf(f5560,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_156 ),
    inference(constrained_superposition,[],[f5503,f60]) ).

thf(f5567,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_156 ),
    inference(trivial_inequality_removal,[],[f5560]) ).

thf(f5571,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f5567,f238]) ).

thf(f5572,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | spl0_87
    | ~ spl0_156 ),
    inference(forward_subsumption_resolution,[],[f5571,f3549]) ).

thf(f5579,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_4
    | spl0_87
    | ~ spl0_156 ),
    inference(constrained_superposition,[],[f5572,f349]) ).

thf(f5581,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | spl0_87
    | ~ spl0_156 ),
    inference(trivial_inequality_removal,[],[f5579]) ).

thf(f5804,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_145 ),
    inference(constrained_superposition,[],[f4570,f60]) ).

thf(f5805,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | spl0_145 ),
    inference(constrained_superposition,[],[f4570,f37]) ).

thf(f5807,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_145 ),
    inference(trivial_inequality_removal,[],[f5804]) ).

thf(f5809,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | spl0_145 ),
    inference(trivial_inequality_removal,[],[f5805]) ).

thf(f5810,plain,
    ( $false
    | spl0_87
    | spl0_145 ),
    inference(forward_subsumption_resolution,[],[f5807,f3549]) ).

thf(f5811,plain,
    ( spl0_87
    | spl0_145 ),
    inference(avatar_contradiction_clause,[],[f5810]) ).

thf(f5813,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | spl0_87
    | spl0_145 ),
    inference(forward_subsumption_resolution,[],[f5809,f3549]) ).

thf(f5815,plain,
    ( $false
    | spl0_87
    | spl0_145 ),
    inference(forward_subsumption_resolution,[],[f5813,f28]) ).

thf(f5816,plain,
    ( spl0_87
    | spl0_145 ),
    inference(avatar_contradiction_clause,[],[f5815]) ).

thf(f5933,definition,
    ( spl0_163
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

thf(f5934,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_163 ),
    inference(avatar_component_clause,[],[f5933]) ).

thf(f5956,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_88 ),
    inference(constrained_superposition,[],[f3345,f2995]) ).

thf(f5974,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_88 ),
    inference(duplicate_literal_removal,[],[f5956]) ).

thf(f5975,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_88 ),
    inference(trivial_inequality_removal,[],[f5974]) ).

thf(f5980,definition,
    ( spl0_165
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

thf(f5981,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f5980]) ).

thf(f5982,plain,
    ( spl0_165
    | ~ spl0_95
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f5975,f3344,f3370,f5980]) ).

thf(f6006,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_163 ),
    inference(constrained_superposition,[],[f5934,f349]) ).

thf(f6008,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_163 ),
    inference(constrained_superposition,[],[f5934,f37]) ).

thf(f6010,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_163 ),
    inference(trivial_inequality_removal,[],[f6008]) ).

thf(f6013,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_163 ),
    inference(trivial_inequality_removal,[],[f6006]) ).

thf(f6014,plain,
    ( spl0_36
    | spl0_86
    | spl0_163 ),
    inference(avatar_split_clause,[],[f6010,f5933,f3337,f517]) ).

thf(f6017,plain,
    ( spl0_86
    | spl0_163 ),
    inference(avatar_split_clause,[],[f6013,f5933,f3337]) ).

thf(f6020,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f525,f3338]) ).

thf(f6033,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f6020]) ).

thf(f6044,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_86
    | ~ spl0_90 ),
    inference(forward_subsumption_resolution,[],[f6033,f3352]) ).

thf(f6045,plain,
    ( ~ spl0_38
    | ~ spl0_86
    | ~ spl0_90 ),
    inference(avatar_contradiction_clause,[],[f6044]) ).

thf(f6058,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f4280,f3352]) ).

thf(f6066,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f6058]) ).

thf(f6069,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f6066,f77]) ).

thf(f6072,plain,
    ( $false
    | ~ spl0_1
    | spl0_31
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f6069,f887]) ).

thf(f6073,plain,
    ( ~ spl0_1
    | spl0_31
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f6072]) ).

thf(f6074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_85 ),
    inference(constrained_superposition,[],[f3335,f2995]) ).

thf(f6088,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true ) )
    | ~ spl0_85 ),
    inference(duplicate_literal_removal,[],[f6074]) ).

thf(f6089,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_85 ),
    inference(trivial_inequality_removal,[],[f6088]) ).

thf(f6097,plain,
    ( spl0_165
    | ~ spl0_110
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f6089,f3334,f3663,f5980]) ).

thf(f6151,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f3640,f2996]) ).

thf(f6154,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f6151]) ).

thf(f6155,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f6154]) ).

thf(f6499,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f5189,f845]) ).

thf(f6515,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_51
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f6499]) ).

thf(f6520,definition,
    ( spl0_171
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

thf(f6521,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f6520]) ).

thf(f6522,plain,
    ( spl0_86
    | spl0_171
    | ~ spl0_51
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f6515,f3351,f844,f6520,f3337]) ).

thf(f6589,definition,
    ( spl0_172
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

thf(f6590,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f6589]) ).

thf(f6592,plain,
    ( ~ spl0_31
    | spl0_58
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f2452,f416,f869,f458]) ).

thf(f6615,plain,
    ( ~ spl0_31
    | ~ spl0_62
    | spl0_86
    | ~ spl0_4
    | spl0_87
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f5581,f5502,f3341,f97,f3337,f1025,f458]) ).

thf(f6643,plain,
    ( ~ spl0_23
    | ~ spl0_10
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f5188,f3908,f3351,f143,f397]) ).

thf(f6668,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | spl0_31 ),
    inference(constrained_superposition,[],[f534,f32]) ).

thf(f6669,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f6668]) ).

thf(f6670,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f6669,f28]) ).

thf(f6671,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_13
    | spl0_31 ),
    inference(constrained_superposition,[],[f558,f6670]) ).

thf(f6673,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | spl0_31 ),
    inference(constrained_superposition,[],[f26,f6670]) ).

thf(f6674,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f6671]) ).

thf(f6677,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f6673]) ).

thf(f6696,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f939,f36]) ).

thf(f6702,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f6696]) ).

thf(f6709,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f237,f388]) ).

thf(f6711,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_17
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f6709]) ).

thf(f6720,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_17
    | ~ spl0_20
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f6711,f6670]) ).

thf(f6721,plain,
    ( spl0_23
    | ~ spl0_4
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f6702,f938,f97,f397]) ).

thf(f6722,plain,
    ( ~ spl0_23
    | ~ spl0_17
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f6720,f458,f387,f236,f397]) ).

thf(f6730,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f5218,f3328]) ).

thf(f6732,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f558,f3328]) ).

thf(f6741,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f6730]) ).

thf(f6743,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f6732]) ).

thf(f6745,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f6741,f388]) ).

thf(f6746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_83 ),
    inference(forward_subsumption_resolution,[],[f6743,f388]) ).

thf(f6747,plain,
    ( spl0_47
    | ~ spl0_20
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6745,f3366,f3327,f387,f742]) ).

thf(f6748,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_83
    | spl0_87 ),
    inference(forward_subsumption_resolution,[],[f6746,f3549]) ).

thf(f6749,plain,
    ( spl0_47
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_83
    | spl0_87 ),
    inference(avatar_split_clause,[],[f6748,f3341,f3327,f387,f220,f742]) ).

thf(f6899,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_42 ),
    inference(constrained_superposition,[],[f694,f348]) ).

thf(f6900,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_42 ),
    inference(constrained_superposition,[],[f694,f60]) ).

thf(f6902,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_42 ),
    inference(trivial_inequality_removal,[],[f6899]) ).

thf(f6903,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_42 ),
    inference(trivial_inequality_removal,[],[f6900]) ).

thf(f7248,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f43,f494]) ).

thf(f7251,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f26,f494]) ).

thf(f7254,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f7251]) ).

thf(f7255,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f7248]) ).

thf(f7267,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f7254,f35]) ).

thf(f7277,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f7267]) ).

thf(f7567,definition,
    ( spl0_184
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

thf(f7568,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f7567]) ).

thf(f8380,plain,
    ( spl0_38
    | spl0_49
    | ~ spl0_23
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f7277,f493,f397,f784,f524]) ).

thf(f8382,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f7255,f6670]) ).

thf(f8383,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_48
    | ~ spl0_66 ),
    inference(forward_subsumption_resolution,[],[f5323,f77]) ).

thf(f8386,plain,
    ( spl0_49
    | spl0_38
    | spl0_31
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f8382,f493,f458,f524,f784]) ).

thf(f8387,plain,
    ( spl0_132
    | ~ spl0_1
    | ~ spl0_48
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f8383,f1217,f748,f76,f4295]) ).

thf(f8401,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f8403,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f8401]) ).

thf(f8422,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f7568,f3367]) ).

thf(f8423,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_13
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f7568,f221]) ).

thf(f8429,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f8423]) ).

thf(f8431,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f8422]) ).

thf(f8432,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f8429,f388]) ).

thf(f8433,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f8431,f388]) ).

thf(f8434,plain,
    ( ~ spl0_20
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(avatar_contradiction_clause,[],[f8433]) ).

thf(f8435,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_20
    | spl0_87
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f8432,f3549]) ).

thf(f8436,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_87
    | ~ spl0_184 ),
    inference(avatar_contradiction_clause,[],[f8435]) ).

thf(f8474,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f8403,f388]) ).

thf(f8479,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f8474]) ).

thf(f8486,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f8479,f3328]) ).

thf(f8499,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f8486]) ).

thf(f8501,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f8499,f3367]) ).

thf(f8503,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f8501,f3352]) ).

thf(f8504,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f8503]) ).

thf(f8507,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f6903,f238]) ).

thf(f8508,plain,
    ( spl0_24
    | spl0_60
    | ~ spl0_4
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f8507,f693,f97,f878,f401]) ).

thf(f8566,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_119 ),
    inference(constrained_superposition,[],[f3920,f60]) ).

thf(f8570,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_119 ),
    inference(trivial_inequality_removal,[],[f8566]) ).

thf(f9346,definition,
    ( spl0_191
  <=> ! [X2: $i,X0: $i] :
        ( ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

thf(f9347,plain,
    ( ! [X2: $i,X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
         != $true )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f9346]) ).

thf(f9353,definition,
    ( spl0_192
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

thf(f9354,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_192 ),
    inference(avatar_component_clause,[],[f9353]) ).

thf(f9357,definition,
    ( spl0_193
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

thf(f9358,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f9357]) ).

thf(f9360,definition,
    ( spl0_194
  <=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

thf(f9361,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_194 ),
    inference(avatar_component_clause,[],[f9360]) ).

thf(f9369,definition,
    ( spl0_195
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

thf(f9370,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_195 ),
    inference(avatar_component_clause,[],[f9369]) ).

thf(f9373,definition,
    ( spl0_196
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

thf(f9374,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_196 ),
    inference(avatar_component_clause,[],[f9373]) ).

thf(f9378,definition,
    ( spl0_197
  <=> ! [X2: $i,X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

thf(f9379,plain,
    ( ! [X2: $i,X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X2 )
         != $true )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f9378]) ).

thf(f9382,definition,
    ( spl0_198
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

thf(f9383,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f9382]) ).

thf(f9387,definition,
    ( spl0_199
  <=> ! [X2: $i,X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

thf(f9388,plain,
    ( ! [X2: $i,X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X2 )
         != $true ) )
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f9387]) ).

thf(f9396,definition,
    ( spl0_200
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

thf(f9397,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f9396]) ).

thf(f9401,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_196 ),
    inference(avatar_component_clause,[],[f9373]) ).

thf(f9404,definition,
    ( spl0_201
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

thf(f9405,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f9404]) ).

thf(f9407,definition,
    ( spl0_202
  <=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

thf(f9408,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f9407]) ).

thf(f9411,definition,
    ( spl0_203
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

thf(f9412,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_203 ),
    inference(avatar_component_clause,[],[f9411]) ).

thf(f9421,definition,
    ( spl0_205
  <=> ! [X1: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

thf(f9422,plain,
    ( ! [X1: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X1 ) ) ) ) @ z )
        = $true )
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f9421]) ).

thf(f9426,definition,
    ( spl0_206
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

thf(f9427,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f9426]) ).

thf(f9784,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f8570,f238]) ).

thf(f9793,plain,
    ( ~ spl0_62
    | spl0_87
    | ~ spl0_4
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f9784,f3919,f97,f3341,f1025]) ).

thf(f9819,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f288,f3342]) ).

thf(f9821,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f6521,f3342]) ).

thf(f9824,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f26,f3342]) ).

thf(f9825,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f9819]) ).

thf(f9827,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f9824]) ).

thf(f9829,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f9821]) ).

thf(f9832,plain,
    ( spl0_191
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f9827,f3341,f9346]) ).

thf(f9838,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f26,f3328]) ).

thf(f9839,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f9838]) ).

thf(f9845,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f939,f32]) ).

thf(f9847,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f939,f37]) ).

thf(f9848,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f939,f61]) ).

thf(f9849,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f939,f348]) ).

thf(f9851,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( z = X0 )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f9848]) ).

thf(f9852,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f9845]) ).

thf(f9855,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f9849]) ).

thf(f9856,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f9847]) ).

thf(f9857,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( $true != $true ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f167,f32]) ).

thf(f9861,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f167,f3555]) ).

thf(f9862,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f167,f238]) ).

thf(f9864,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f9861]) ).

thf(f9867,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9857]) ).

thf(f9868,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9862]) ).

thf(f9869,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9868,f32]) ).

thf(f9871,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ z ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9868,f37]) ).

thf(f9872,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9868,f59]) ).

thf(f9873,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9869]) ).

thf(f9875,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ X0 ) @ z )
         != $true )
        | ( z = X0 )
        | ( ( r @ ( s @ X0 ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9871]) ).

thf(f9876,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9872]) ).

thf(f9877,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f9864,f32]) ).

thf(f9880,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f9864,f61]) ).

thf(f9888,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f9880]) ).

thf(f9890,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f9877]) ).

thf(f9897,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9876,f32]) ).

thf(f9900,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f9897]) ).

thf(f9903,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f9900,f28]) ).

thf(f9908,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f848,f348]) ).

thf(f9909,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f848,f60]) ).

thf(f9911,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f9909]) ).

thf(f9914,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f9908]) ).

thf(f9924,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f9855,f60]) ).

thf(f9928,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f9924]) ).

thf(f9930,plain,
    ( spl0_44
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f9928,f938,f700]) ).

thf(f10018,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f785,f9876]) ).

thf(f10024,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(constrained_superposition,[],[f26,f10018]) ).

thf(f10027,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(trivial_inequality_removal,[],[f10024]) ).

thf(f10071,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9873,f32]) ).

thf(f10074,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f9873,f3555]) ).

thf(f10076,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f10074]) ).

thf(f10077,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10071]) ).

thf(f10096,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f9347,f10018]) ).

thf(f10099,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f10096]) ).

thf(f10173,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true != $true )
        | ( ( s @ X0 )
          = z )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ X0 ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9875,f32]) ).

thf(f10174,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( s @ X0 )
          = z )
        | ( z = X0 )
        | ( ( r @ ( s @ X0 ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10173]) ).

thf(f10178,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10174,f28]) ).

thf(f10211,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( r @ X1 @ z )
          = $true )
        | ( z = X0 )
        | ( z = X1 ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9867,f32]) ).

thf(f10214,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f9867,f3555]) ).

thf(f10215,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f9867,f238]) ).

thf(f10217,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f10214]) ).

thf(f10218,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10215]) ).

thf(f10220,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X1 )
        | ( z = X0 )
        | ( ( r @ X1 @ z )
          = $true ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10211]) ).

thf(f10221,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( z
          = ( s @ ( s @ X0 ) ) ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f10218,f60]) ).

thf(f10223,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( z = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f10218,f32]) ).

thf(f10224,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10223]) ).

thf(f10226,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( z
          = ( s @ ( s @ X0 ) ) ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10221]) ).

thf(f10228,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10226,f28]) ).

thf(f10230,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( z = X0 ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f140,f10224]) ).

thf(f10258,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10230]) ).

thf(f10270,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ X0 )
          = z )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f10217,f37]) ).

thf(f10271,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( z = X0 ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f10217,f32]) ).

thf(f10274,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f10271]) ).

thf(f10277,plain,
    ( ! [X0: $i] :
        ( ( ( s @ X0 )
          = z )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f10270]) ).

thf(f10280,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f10277,f28]) ).

thf(f10315,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ X0 @ X1 )
          = $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( X0 = X1 )
        | ( $true != $true )
        | ( z = X1 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f10220,f32]) ).

thf(f10316,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ X1 ) @ z )
          = $true )
        | ( z
          = ( s @ X1 ) )
        | ( ( s @ X0 )
          = z )
        | ( $true != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
          = $true )
        | ( X0 = X1 ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f10220,f37]) ).

thf(f10332,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( z
          = ( s @ X1 ) )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( s @ X0 )
          = z )
        | ( X0 = X1 )
        | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
          = $true )
        | ( ( r @ ( s @ X1 ) @ z )
          = $true ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10316]) ).

thf(f10333,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
          = ( r @ X0 @ z ) )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( r @ X0 @ X1 )
          = $true )
        | ( z = X1 )
        | ( X0 = X1 )
        | ( z = X0 ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10315]) ).

thf(f10339,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( s @ X0 )
          = z )
        | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
          = $true )
        | ( X0 = X1 )
        | ( ( r @ ( s @ X1 ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10332,f28]) ).

thf(f10344,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
          = $true )
        | ( X0 = X1 )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ X1 ) @ z )
          = $true ) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10339,f28]) ).

thf(f10512,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f26,f9903]) ).

thf(f10518,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10512]) ).

thf(f10564,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f288,f10228]) ).

thf(f10581,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f26,f10228]) ).

thf(f10583,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10581]) ).

thf(f10593,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10564]) ).

thf(f10635,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f10583,f9903]) ).

thf(f10656,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f10635]) ).

thf(f10657,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f10656]) ).

thf(f11266,definition,
    ( spl0_217
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

thf(f11267,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f11266]) ).

thf(f11283,definition,
    ( spl0_219
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

thf(f11284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f11283]) ).

thf(f11338,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_1
    | ~ spl0_195 ),
    inference(constrained_superposition,[],[f288,f9370]) ).

thf(f11350,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_195 ),
    inference(constrained_superposition,[],[f26,f9370]) ).

thf(f11351,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_195 ),
    inference(trivial_inequality_removal,[],[f11350]) ).

thf(f11353,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_195 ),
    inference(trivial_inequality_removal,[],[f11338]) ).

thf(f11367,plain,
    ( spl0_197
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f11351,f9369,f9378]) ).

thf(f11368,plain,
    ( spl0_203
    | ~ spl0_1
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f11353,f9369,f76,f9411]) ).

thf(f11607,definition,
    ( spl0_221
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

thf(f11608,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_221 ),
    inference(avatar_component_clause,[],[f11607]) ).

thf(f11781,definition,
    ( spl0_222
  <=> ! [X2: $i,X1: $i] :
        ( ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

thf(f11782,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_222 ),
    inference(avatar_component_clause,[],[f11781]) ).

thf(f11805,definition,
    ( spl0_223
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

thf(f11806,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f11805]) ).

thf(f11966,definition,
    ( spl0_224
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

thf(f11967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_224 ),
    inference(avatar_component_clause,[],[f11966]) ).

thf(f12211,definition,
    ( spl0_225
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
          = $true )
        | ( ( s @ X1 )
          = ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

thf(f12212,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
          = $true )
        | ( ( s @ X1 )
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_225 ),
    inference(avatar_component_clause,[],[f12211]) ).

thf(f12232,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_225 ),
    inference(constrained_superposition,[],[f26,f12212]) ).

thf(f12235,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) )
    | ~ spl0_225 ),
    inference(trivial_inequality_removal,[],[f12232]) ).

thf(f12367,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( z = X0 )
        | ( z
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( $true != $true ) )
    | ~ spl0_11
    | spl0_100 ),
    inference(constrained_superposition,[],[f3859,f10333]) ).

thf(f12392,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_11
    | spl0_100 ),
    inference(trivial_inequality_removal,[],[f12367]) ).

thf(f12412,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
          = $true ) )
    | ~ spl0_11
    | spl0_100 ),
    inference(forward_subsumption_resolution,[],[f12392,f28]) ).

thf(f12417,definition,
    ( spl0_227
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
          = $true )
        | ( z = X1 )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

thf(f12418,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
          = $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X1 )
        | ( z = X1 ) )
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f12417]) ).

thf(f12426,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f9852,f32]) ).

thf(f12429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f12426]) ).

thf(f12508,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
          = $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f9856,f37]) ).

thf(f12512,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f12508]) ).

thf(f12513,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f9890,f32]) ).

thf(f12517,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( z = X0 )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f12513]) ).

thf(f13032,definition,
    ( spl0_239
  <=> ! [X2: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).

thf(f13033,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) )
    | ~ spl0_239 ),
    inference(avatar_component_clause,[],[f13032]) ).

thf(f13075,definition,
    ( spl0_242
  <=> ! [X2: $i,X1: $i] :
        ( ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

thf(f13076,plain,
    ( ! [X2: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f13075]) ).

thf(f13116,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f26,f9405]) ).

thf(f13125,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f13116]) ).

thf(f13128,plain,
    ( spl0_239
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f13125,f9404,f13032]) ).

thf(f13144,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
        | ( ( r @ z @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_205 ),
    inference(constrained_superposition,[],[f26,f9422]) ).

thf(f13147,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) )
    | ~ spl0_205 ),
    inference(trivial_inequality_removal,[],[f13144]) ).

thf(f13446,definition,
    ( spl0_243
  <=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

thf(f13447,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f13446]) ).

thf(f13545,plain,
    ( ( $true
      = ( b @ ( s @ z ) @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_243 ),
    inference(constrained_superposition,[],[f59,f13447]) ).

thf(f13814,plain,
    ( ( ( s @ z )
     != ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_101 ),
    inference(avatar_component_clause,[],[f3417]) ).

thf(f13870,definition,
    ( spl0_246
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).

thf(f13871,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_246 ),
    inference(avatar_component_clause,[],[f13870]) ).

thf(f13880,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_243 ),
    inference(forward_subsumption_resolution,[],[f13545,f29]) ).

thf(f13961,plain,
    ( $false
    | ~ spl0_243 ),
    inference(forward_subsumption_resolution,[],[f13880,f30]) ).

thf(f13962,plain,
    ~ spl0_243,
    inference(avatar_contradiction_clause,[],[f13961]) ).

thf(f14005,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f26,f9397]) ).

thf(f14021,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f14005]) ).

thf(f14024,plain,
    ( spl0_199
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f14021,f9396,f9387]) ).

thf(f14125,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_199 ),
    inference(constrained_superposition,[],[f9388,f10018]) ).

thf(f14152,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_199 ),
    inference(trivial_inequality_removal,[],[f14125]) ).

thf(f14155,definition,
    ( spl0_247
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).

thf(f14156,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f14155]) ).

thf(f14158,plain,
    ( spl0_224
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f14152,f9387,f784,f166,f97,f11966]) ).

thf(f14241,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_197 ),
    inference(constrained_superposition,[],[f9379,f10018]) ).

thf(f14266,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_197 ),
    inference(trivial_inequality_removal,[],[f14241]) ).

thf(f14270,definition,
    ( spl0_248
  <=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).

thf(f14271,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_248 ),
    inference(avatar_component_clause,[],[f14270]) ).

thf(f14273,definition,
    ( spl0_249
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

thf(f14274,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_249 ),
    inference(avatar_component_clause,[],[f14273]) ).

thf(f14276,definition,
    ( spl0_250
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

thf(f14277,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_250 ),
    inference(avatar_component_clause,[],[f14276]) ).

thf(f14280,plain,
    ( spl0_250
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f14266,f9378,f784,f166,f97,f14276]) ).

thf(f15024,plain,
    ( spl0_227
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f10274,f3385,f166,f12417]) ).

thf(f15044,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f10518,f12517]) ).

thf(f15060,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f743,f12517]) ).

thf(f15064,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f15060]) ).

thf(f15098,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( z
          = ( s @ ( s @ X0 ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(duplicate_literal_removal,[],[f15044]) ).

thf(f15099,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f15098]) ).

thf(f15152,plain,
    ( spl0_227
    | ~ spl0_11
    | spl0_100 ),
    inference(avatar_split_clause,[],[f12412,f3413,f166,f12417]) ).

thf(f15207,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_227 ),
    inference(constrained_superposition,[],[f10657,f12418]) ).

thf(f15231,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_227 ),
    inference(duplicate_literal_removal,[],[f15207]) ).

thf(f15232,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( z
          = ( s @ ( s @ X0 ) ) )
        | ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_227 ),
    inference(trivial_inequality_removal,[],[f15231]) ).

thf(f15267,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f9851,f60]) ).

thf(f15272,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f15267]) ).

thf(f15298,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( z = X0 )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(constrained_superposition,[],[f43,f15272]) ).

thf(f15321,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( z = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_61 ),
    inference(trivial_inequality_removal,[],[f15298]) ).

thf(f15343,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | spl0_31
    | ~ spl0_61 ),
    inference(forward_subsumption_resolution,[],[f15321,f6670]) ).

thf(f15352,definition,
    ( spl0_251
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( z = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

thf(f15353,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( z = X0 )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_251 ),
    inference(avatar_component_clause,[],[f15352]) ).

thf(f15354,plain,
    ( spl0_251
    | spl0_38
    | spl0_31
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f15343,f938,f458,f524,f15352]) ).

thf(f16283,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f10657,f10280]) ).

thf(f16296,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(duplicate_literal_removal,[],[f16283]) ).

thf(f16297,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f16296]) ).

thf(f17200,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true ) )
    | ~ spl0_44 ),
    inference(constrained_superposition,[],[f26,f701]) ).

thf(f17226,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ X1 @ X2 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X2 )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_44 ),
    inference(trivial_inequality_removal,[],[f17200]) ).

thf(f17298,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f232,f32]) ).

thf(f17305,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f17298]) ).

thf(f17381,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_44
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f17226,f9405]) ).

thf(f17442,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_44
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f17381]) ).

thf(f18057,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( z = X0 )
        | ( ( r @ z @ X0 )
          = $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f17305,f32]) ).

thf(f18058,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f18057]) ).

thf(f18752,plain,
    ( ( ( s @ ( s @ z ) )
     != ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_102 ),
    inference(avatar_component_clause,[],[f3420]) ).

thf(f19531,definition,
    ( spl0_273
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).

thf(f19532,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f19531]) ).

thf(f19550,definition,
    ( spl0_274
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).

thf(f19551,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_274 ),
    inference(avatar_component_clause,[],[f19550]) ).

thf(f19554,definition,
    ( spl0_275
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).

thf(f19555,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f19554]) ).

thf(f19559,definition,
    ( spl0_276
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).

thf(f19560,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_276 ),
    inference(avatar_component_clause,[],[f19559]) ).

thf(f19628,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_247 ),
    inference(constrained_superposition,[],[f348,f14156]) ).

thf(f20072,definition,
    ( spl0_279
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).

thf(f20073,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279 ),
    inference(avatar_component_clause,[],[f20072]) ).

thf(f20154,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_247 ),
    inference(forward_subsumption_resolution,[],[f19628,f30]) ).

thf(f20234,plain,
    ( $false
    | ~ spl0_247 ),
    inference(forward_subsumption_resolution,[],[f20154,f29]) ).

thf(f20235,plain,
    ~ spl0_247,
    inference(avatar_contradiction_clause,[],[f20234]) ).

thf(f20348,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_249 ),
    inference(constrained_superposition,[],[f2996,f14274]) ).

thf(f20866,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_249 ),
    inference(forward_subsumption_resolution,[],[f20348,f29]) ).

thf(f20944,plain,
    ( $false
    | ~ spl0_249 ),
    inference(forward_subsumption_resolution,[],[f20866,f30]) ).

thf(f20945,plain,
    ~ spl0_249,
    inference(avatar_contradiction_clause,[],[f20944]) ).

thf(f20976,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f9388,f19532]) ).

thf(f20982,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f10027,f19532]) ).

thf(f21026,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f20976]) ).

thf(f21030,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f20982]) ).

thf(f21041,plain,
    ( spl0_275
    | ~ spl0_199
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f21026,f19531,f9387,f19554]) ).

thf(f21042,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f21030,f10018]) ).

thf(f21048,plain,
    ( spl0_122
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f21042,f19531,f784,f166,f97,f4015]) ).

thf(f21057,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f9379,f19551]) ).

thf(f21063,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f10027,f19551]) ).

thf(f21100,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f21063]) ).

thf(f21110,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f21057]) ).

thf(f21120,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_274 ),
    inference(forward_subsumption_resolution,[],[f21100,f10018]) ).

thf(f21124,plain,
    ( spl0_276
    | ~ spl0_197
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f21110,f19550,f9378,f19559]) ).

thf(f21128,plain,
    ( spl0_122
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f21120,f19550,f784,f166,f97,f4015]) ).

thf(f23335,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_101 ),
    inference(extensionality_resolution,[],[f346,f13814]) ).

thf(f23336,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_101 ),
    inference(extensionality_resolution,[],[f346,f13814]) ).

thf(f23347,definition,
    ( spl0_301
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

thf(f23348,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_301 ),
    inference(avatar_component_clause,[],[f23347]) ).

thf(f23350,definition,
    ( spl0_302
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

thf(f23351,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_302 ),
    inference(avatar_component_clause,[],[f23350]) ).

thf(f23352,plain,
    ( spl0_301
    | spl0_302
    | spl0_101 ),
    inference(avatar_split_clause,[],[f23336,f3417,f23350,f23347]) ).

thf(f23354,definition,
    ( spl0_303
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).

thf(f23355,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_303 ),
    inference(avatar_component_clause,[],[f23354]) ).

thf(f23357,definition,
    ( spl0_304
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

thf(f23358,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f23357]) ).

thf(f23359,plain,
    ( spl0_303
    | spl0_304
    | spl0_101 ),
    inference(avatar_split_clause,[],[f23335,f3417,f23357,f23354]) ).

thf(f23494,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f348,f3418]) ).

thf(f23924,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[],[f23494,f30]) ).

thf(f24006,plain,
    ( $false
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[],[f23924,f29]) ).

thf(f24007,plain,
    ~ spl0_101,
    inference(avatar_contradiction_clause,[],[f24006]) ).

thf(f24031,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_101 ),
    inference(extensionality_resolution,[],[f10344,f13814]) ).

thf(f24032,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_101 ),
    inference(extensionality_resolution,[],[f10344,f13814]) ).

thf(f24070,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f405,f23348]) ).

thf(f24072,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_28
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f417,f23348]) ).

thf(f24082,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f391,f23348]) ).

thf(f24103,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f24082]) ).

thf(f24107,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f24070]) ).

thf(f24112,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_28
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f24072]) ).

thf(f24125,definition,
    ( spl0_305
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).

thf(f24126,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_305 ),
    inference(avatar_component_clause,[],[f24125]) ).

thf(f24128,definition,
    ( spl0_306
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).

thf(f24129,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_306 ),
    inference(avatar_component_clause,[],[f24128]) ).

thf(f24133,definition,
    ( spl0_307
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).

thf(f24134,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_307 ),
    inference(avatar_component_clause,[],[f24133]) ).

thf(f24136,definition,
    ( spl0_308
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).

thf(f24137,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_308 ),
    inference(avatar_component_clause,[],[f24136]) ).

thf(f24139,definition,
    ( spl0_309
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).

thf(f24140,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f24139]) ).

thf(f24141,plain,
    ( spl0_307
    | ~ spl0_308
    | spl0_309
    | ~ spl0_21
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f24103,f23347,f390,f24139,f24136,f24133]) ).

thf(f24143,definition,
    ( spl0_310
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).

thf(f24144,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_310 ),
    inference(avatar_component_clause,[],[f24143]) ).

thf(f24146,definition,
    ( spl0_311
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).

thf(f24147,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_311 ),
    inference(avatar_component_clause,[],[f24146]) ).

thf(f24149,definition,
    ( spl0_312
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).

thf(f24150,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_312 ),
    inference(avatar_component_clause,[],[f24149]) ).

thf(f24153,definition,
    ( spl0_313
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).

thf(f24154,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_313 ),
    inference(avatar_component_clause,[],[f24153]) ).

thf(f24156,definition,
    ( spl0_314
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

thf(f24157,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_314 ),
    inference(avatar_component_clause,[],[f24156]) ).

thf(f24158,plain,
    ( ~ spl0_313
    | spl0_314
    | spl0_306
    | ~ spl0_25
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f24107,f23347,f404,f24128,f24156,f24153]) ).

thf(f24160,definition,
    ( spl0_315
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).

thf(f24161,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_315 ),
    inference(avatar_component_clause,[],[f24160]) ).

thf(f24163,definition,
    ( spl0_316
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).

thf(f24164,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_316 ),
    inference(avatar_component_clause,[],[f24163]) ).

thf(f24166,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_206 ),
    inference(avatar_component_clause,[],[f9426]) ).

thf(f24167,plain,
    ( spl0_306
    | ~ spl0_206
    | spl0_314
    | ~ spl0_28
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f24112,f23347,f416,f24156,f9426,f24128]) ).

thf(f24170,definition,
    ( spl0_317
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).

thf(f24171,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_317 ),
    inference(avatar_component_clause,[],[f24170]) ).

thf(f24174,definition,
    ( spl0_318
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).

thf(f24175,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_318 ),
    inference(avatar_component_clause,[],[f24174]) ).

thf(f24186,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_313 ),
    inference(constrained_superposition,[],[f24154,f37]) ).

thf(f24187,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_313 ),
    inference(constrained_superposition,[],[f24154,f32]) ).

thf(f24189,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_313 ),
    inference(trivial_inequality_removal,[],[f24186]) ).

thf(f24190,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_313 ),
    inference(trivial_inequality_removal,[],[f24187]) ).

thf(f24194,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_305 ),
    inference(constrained_superposition,[],[f24126,f348]) ).

thf(f24197,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_305 ),
    inference(constrained_superposition,[],[f24126,f32]) ).

thf(f24199,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_305 ),
    inference(trivial_inequality_removal,[],[f24194]) ).

thf(f24201,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_305 ),
    inference(trivial_inequality_removal,[],[f24197]) ).

thf(f24203,plain,
    ( spl0_309
    | spl0_305 ),
    inference(avatar_split_clause,[],[f24199,f24125,f24139]) ).

thf(f24205,plain,
    ( spl0_247
    | spl0_309
    | spl0_305 ),
    inference(avatar_split_clause,[],[f24201,f24125,f24139,f14155]) ).

thf(f24213,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_47
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f743,f24161]) ).

thf(f24283,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f24213]) ).

thf(f24304,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f24283,f9397]) ).

thf(f24305,plain,
    ( ~ spl0_47
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f24304]) ).

thf(f24319,definition,
    ( spl0_319
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).

thf(f24320,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_319 ),
    inference(avatar_component_clause,[],[f24319]) ).

thf(f24346,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_308 ),
    inference(constrained_superposition,[],[f24137,f37]) ).

thf(f24347,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | spl0_308 ),
    inference(constrained_superposition,[],[f24137,f32]) ).

thf(f24348,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_308 ),
    inference(trivial_inequality_removal,[],[f24347]) ).

thf(f24349,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_308 ),
    inference(trivial_inequality_removal,[],[f24346]) ).

thf(f24356,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f9839,f24144]) ).

thf(f24429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_83
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f24356]) ).

thf(f24450,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_309 ),
    inference(avatar_component_clause,[],[f24139]) ).

thf(f24452,definition,
    ( spl0_320
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).

thf(f24453,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_320 ),
    inference(avatar_component_clause,[],[f24452]) ).

thf(f24454,plain,
    ( ~ spl0_309
    | spl0_320
    | ~ spl0_83
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f24429,f24143,f3327,f24452,f24139]) ).

thf(f24459,definition,
    ( spl0_321
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).

thf(f24460,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_321 ),
    inference(avatar_component_clause,[],[f24459]) ).

thf(f24498,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_225
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f12235,f24129]) ).

thf(f24501,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f43,f24129]) ).

thf(f24532,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_225
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f24498]) ).

thf(f24535,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f24501]) ).

thf(f24540,definition,
    ( spl0_322
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).

thf(f24541,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_322 ),
    inference(avatar_component_clause,[],[f24540]) ).

thf(f24545,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_31
    | ~ spl0_225
    | ~ spl0_306 ),
    inference(forward_subsumption_resolution,[],[f24532,f6670]) ).

thf(f24548,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_306 ),
    inference(forward_subsumption_resolution,[],[f24535,f6670]) ).

thf(f24551,plain,
    ( spl0_38
    | spl0_249
    | spl0_31
    | ~ spl0_225
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f24545,f24128,f12211,f458,f14273,f524]) ).

thf(f24554,definition,
    ( spl0_323
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).

thf(f24555,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_323 ),
    inference(avatar_component_clause,[],[f24554]) ).

thf(f24556,plain,
    ( spl0_38
    | spl0_323
    | spl0_31
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f24548,f24128,f458,f24554,f524]) ).

thf(f24580,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_312 ),
    inference(constrained_superposition,[],[f24150,f61]) ).

thf(f24581,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | spl0_312 ),
    inference(constrained_superposition,[],[f24150,f37]) ).

thf(f24584,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_312 ),
    inference(trivial_inequality_removal,[],[f24581]) ).

thf(f24586,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_312 ),
    inference(trivial_inequality_removal,[],[f24580]) ).

thf(f24589,definition,
    ( spl0_324
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).

thf(f24590,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_324 ),
    inference(avatar_component_clause,[],[f24589]) ).

thf(f24591,plain,
    ( spl0_249
    | spl0_324
    | spl0_312 ),
    inference(avatar_split_clause,[],[f24584,f24149,f24589,f14273]) ).

thf(f24593,plain,
    ( spl0_324
    | spl0_243
    | spl0_312 ),
    inference(avatar_split_clause,[],[f24586,f24149,f13446,f24589]) ).

thf(f24595,definition,
    ( spl0_325
  <=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).

thf(f24596,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_325 ),
    inference(avatar_component_clause,[],[f24595]) ).

thf(f24624,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_205
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f13147,f23351]) ).

thf(f24704,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_205
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f24624]) ).

thf(f24717,definition,
    ( spl0_326
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).

thf(f24718,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f24717]) ).

thf(f24736,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_205
    | ~ spl0_302 ),
    inference(forward_subsumption_resolution,[],[f24704,f9422]) ).

thf(f24750,definition,
    ( spl0_327
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).

thf(f24751,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_327 ),
    inference(avatar_component_clause,[],[f24750]) ).

thf(f24762,plain,
    ( spl0_319
    | ~ spl0_205
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f24736,f23350,f9421,f24319]) ).

thf(f25011,definition,
    ( spl0_335
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).

thf(f25012,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_335 ),
    inference(avatar_component_clause,[],[f25011]) ).

thf(f25022,definition,
    ( spl0_337
  <=> ! [X0: $i] :
        ( ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).

thf(f25023,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_337 ),
    inference(avatar_component_clause,[],[f25022]) ).

thf(f25038,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_118
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f3914,f9427]) ).

thf(f25045,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f395,f9427]) ).

thf(f25063,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_118
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f25038]) ).

thf(f25086,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f25045]) ).

thf(f25089,definition,
    ( spl0_339
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).

thf(f25090,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_339 ),
    inference(avatar_component_clause,[],[f25089]) ).

thf(f25091,plain,
    ( spl0_339
    | spl0_310
    | ~ spl0_118
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f25063,f9426,f3913,f24143,f25089]) ).

thf(f25094,definition,
    ( spl0_340
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).

thf(f25095,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_340 ),
    inference(avatar_component_clause,[],[f25094]) ).

thf(f25101,definition,
    ( spl0_341
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).

thf(f25102,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_341 ),
    inference(avatar_component_clause,[],[f25101]) ).

thf(f25105,plain,
    ( spl0_340
    | spl0_309
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f25086,f9426,f394,f24139,f25094]) ).

thf(f25107,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_197 ),
    inference(constrained_superposition,[],[f9379,f9358]) ).

thf(f25117,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f26,f9358]) ).

thf(f25119,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_197 ),
    inference(trivial_inequality_removal,[],[f25107]) ).

thf(f25124,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f25117]) ).

thf(f25130,plain,
    ( spl0_242
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f25124,f9357,f13075]) ).

thf(f25188,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_22
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f395,f24555]) ).

thf(f25206,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_22
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f25188]) ).

thf(f25231,definition,
    ( spl0_342
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).

thf(f25232,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_342 ),
    inference(avatar_component_clause,[],[f25231]) ).

thf(f25233,plain,
    ( spl0_306
    | spl0_342
    | ~ spl0_22
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f25206,f24554,f394,f25231,f24128]) ).

thf(f25239,definition,
    ( spl0_343
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).

thf(f25240,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_343 ),
    inference(avatar_component_clause,[],[f25239]) ).

thf(f25250,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_44
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f17226,f19532]) ).

thf(f25280,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_44
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f25250]) ).

thf(f25297,definition,
    ( spl0_344
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).

thf(f25298,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_344 ),
    inference(avatar_component_clause,[],[f25297]) ).

thf(f25300,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_44
    | ~ spl0_83
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f25280,f3328]) ).

thf(f25303,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f17442,f398]) ).

thf(f25306,definition,
    ( spl0_345
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).

thf(f25307,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_345 ),
    inference(avatar_component_clause,[],[f25306]) ).

thf(f25313,plain,
    ( spl0_184
    | spl0_200
    | ~ spl0_44
    | ~ spl0_83
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f25300,f19531,f3327,f700,f9396,f7567]) ).

thf(f25315,plain,
    ( spl0_200
    | spl0_38
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f25303,f9404,f700,f397,f524,f9396]) ).

thf(f25321,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_206 ),
    inference(constrained_superposition,[],[f24166,f32]) ).

thf(f25322,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_206 ),
    inference(trivial_inequality_removal,[],[f25321]) ).

thf(f25372,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_44
    | spl0_309 ),
    inference(constrained_superposition,[],[f24450,f701]) ).

thf(f25374,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_309 ),
    inference(constrained_superposition,[],[f24450,f15272]) ).

thf(f25380,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_309 ),
    inference(constrained_superposition,[],[f24450,f12429]) ).

thf(f25385,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_309 ),
    inference(trivial_inequality_removal,[],[f25374]) ).

thf(f25387,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_44
    | spl0_309 ),
    inference(trivial_inequality_removal,[],[f25372]) ).

thf(f25389,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_61
    | spl0_309 ),
    inference(trivial_inequality_removal,[],[f25380]) ).

thf(f25400,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f4016,f3328]) ).

thf(f25424,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f25400]) ).

thf(f25457,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f10099,f24590]) ).

thf(f25458,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_117
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f3909,f24590]) ).

thf(f25466,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_117
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f25458]) ).

thf(f25476,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f25457]) ).

thf(f25483,definition,
    ( spl0_346
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).

thf(f25484,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_346 ),
    inference(avatar_component_clause,[],[f25483]) ).

thf(f25485,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_306 ),
    inference(avatar_component_clause,[],[f24128]) ).

thf(f25486,plain,
    ( ~ spl0_346
    | ~ spl0_306
    | ~ spl0_117
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f25466,f24589,f3908,f24128,f25483]) ).

thf(f25488,definition,
    ( spl0_347
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).

thf(f25489,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_347 ),
    inference(avatar_component_clause,[],[f25488]) ).

thf(f25491,definition,
    ( spl0_348
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).

thf(f25492,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_348 ),
    inference(avatar_component_clause,[],[f25491]) ).

thf(f25494,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f25476,f10018]) ).

thf(f25498,plain,
    ( ~ spl0_346
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f25494,f24589,f9346,f784,f166,f97,f25483]) ).

thf(f25499,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_346 ),
    inference(avatar_component_clause,[],[f25483]) ).

thf(f25563,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_44
    | spl0_306 ),
    inference(constrained_superposition,[],[f25485,f701]) ).

thf(f25568,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_61
    | spl0_306 ),
    inference(constrained_superposition,[],[f25485,f12512]) ).

thf(f25575,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_44
    | spl0_306 ),
    inference(trivial_inequality_removal,[],[f25563]) ).

thf(f25576,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_306 ),
    inference(trivial_inequality_removal,[],[f25568]) ).

thf(f25584,definition,
    ( spl0_350
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).

thf(f25585,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_350 ),
    inference(avatar_component_clause,[],[f25584]) ).

thf(f25587,definition,
    ( spl0_351
  <=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).

thf(f25588,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_351 ),
    inference(avatar_component_clause,[],[f25587]) ).

thf(f25590,plain,
    ( spl0_346
    | ~ spl0_44
    | spl0_306 ),
    inference(avatar_split_clause,[],[f25575,f24128,f700,f25483]) ).

thf(f25721,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_351 ),
    inference(constrained_superposition,[],[f2995,f25588]) ).

thf(f26056,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_351 ),
    inference(forward_subsumption_resolution,[],[f25721,f29]) ).

thf(f26158,plain,
    ( $false
    | ~ spl0_351 ),
    inference(forward_subsumption_resolution,[],[f26056,f30]) ).

thf(f26159,plain,
    ~ spl0_351,
    inference(avatar_contradiction_clause,[],[f26158]) ).

thf(f26224,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_350 ),
    inference(constrained_superposition,[],[f349,f25585]) ).

thf(f26605,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_350 ),
    inference(forward_subsumption_resolution,[],[f26224,f30]) ).

thf(f26673,plain,
    ( $false
    | ~ spl0_350 ),
    inference(forward_subsumption_resolution,[],[f26605,f29]) ).

thf(f26674,plain,
    ~ spl0_350,
    inference(avatar_contradiction_clause,[],[f26673]) ).

thf(f26807,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_44
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f17226,f25492]) ).

thf(f26808,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f558,f25492]) ).

thf(f26817,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f26808]) ).

thf(f26821,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_44
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f26807]) ).

thf(f26826,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f26821,f398]) ).

thf(f26827,plain,
    ( spl0_346
    | spl0_38
    | ~ spl0_23
    | ~ spl0_44
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f26826,f25491,f700,f397,f524,f25483]) ).

thf(f26927,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ( $true
      = ( b @ ( s @ z ) @ ( s @ z ) ) )
    | ~ spl0_248 ),
    inference(constrained_superposition,[],[f60,f14271]) ).

thf(f27297,plain,
    ( ( $true
      = ( b @ ( s @ z ) @ ( s @ z ) ) )
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[],[f26927,f30]) ).

thf(f27400,plain,
    ( $false
    | ~ spl0_248 ),
    inference(forward_subsumption_resolution,[],[f27297,f29]) ).

thf(f27401,plain,
    ~ spl0_248,
    inference(avatar_contradiction_clause,[],[f27400]) ).

thf(f27439,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_306 ),
    inference(forward_subsumption_resolution,[],[f25576,f28]) ).

thf(f27440,plain,
    ( spl0_346
    | spl0_248
    | ~ spl0_61
    | spl0_306 ),
    inference(avatar_split_clause,[],[f27439,f24128,f938,f14270,f25483]) ).

thf(f27483,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_224
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f11967,f23351]) ).

thf(f27484,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f11267,f23351]) ).

thf(f27486,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f2064,f23351]) ).

thf(f27498,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_48
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f27486]) ).

thf(f27502,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f27484]) ).

thf(f27503,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f27483]) ).

thf(f27520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_48
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27498,f25499]) ).

thf(f27521,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_302
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f27502,f25492]) ).

thf(f27522,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27503,f25499]) ).

thf(f27529,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_48
    | spl0_206
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27520,f24166]) ).

thf(f27530,plain,
    ( $false
    | ~ spl0_217
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f27521,f25499]) ).

thf(f27531,plain,
    ( ~ spl0_217
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(avatar_contradiction_clause,[],[f27530]) ).

thf(f27532,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_224
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27522,f10018]) ).

thf(f27533,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_224
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f27532]) ).

thf(f27538,plain,
    ( spl0_327
    | ~ spl0_48
    | spl0_206
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f27529,f25483,f23350,f9426,f748,f24750]) ).

thf(f27540,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_201 ),
    inference(avatar_component_clause,[],[f9404]) ).

thf(f27548,plain,
    ( spl0_200
    | spl0_247
    | spl0_243
    | ~ spl0_61
    | spl0_309 ),
    inference(avatar_split_clause,[],[f25389,f24139,f938,f13446,f14155,f9396]) ).

thf(f27554,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_61
    | spl0_309 ),
    inference(forward_subsumption_resolution,[],[f25385,f28]) ).

thf(f27556,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_206 ),
    inference(forward_subsumption_resolution,[],[f25322,f28]) ).

thf(f27558,plain,
    ( spl0_200
    | ~ spl0_44
    | spl0_309 ),
    inference(avatar_split_clause,[],[f25387,f24139,f700,f9396]) ).

thf(f27562,plain,
    ( spl0_200
    | ~ spl0_61
    | spl0_309 ),
    inference(avatar_split_clause,[],[f27554,f24139,f938,f9396]) ).

thf(f27564,plain,
    ( spl0_201
    | spl0_206 ),
    inference(avatar_split_clause,[],[f27556,f9426,f9404]) ).

thf(f27569,definition,
    ( spl0_358
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).

thf(f27570,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_358 ),
    inference(avatar_component_clause,[],[f27569]) ).

thf(f27581,plain,
    ( ~ spl0_24
    | ~ spl0_83
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f25424,f4015,f3327,f401]) ).

thf(f27582,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f9829,f77]) ).

thf(f27585,plain,
    ( spl0_61
    | spl0_24
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f9911,f847,f401,f938]) ).

thf(f27593,definition,
    ( spl0_360
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).

thf(f27594,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_360 ),
    inference(avatar_component_clause,[],[f27593]) ).

thf(f27599,plain,
    ( ~ spl0_24
    | ~ spl0_1
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f27582,f6520,f3341,f76,f401]) ).

thf(f27614,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f346,f18752]) ).

thf(f27615,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f346,f18752]) ).

thf(f27616,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f61,f18752]) ).

thf(f27617,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f61,f18752]) ).

thf(f27624,definition,
    ( spl0_361
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).

thf(f27625,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_361 ),
    inference(avatar_component_clause,[],[f27624]) ).

thf(f27627,definition,
    ( spl0_362
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).

thf(f27628,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_362 ),
    inference(avatar_component_clause,[],[f27627]) ).

thf(f27629,plain,
    ( spl0_361
    | spl0_362
    | spl0_102 ),
    inference(avatar_split_clause,[],[f27615,f3420,f27627,f27624]) ).

thf(f27631,definition,
    ( spl0_363
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).

thf(f27632,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_363 ),
    inference(avatar_component_clause,[],[f27631]) ).

thf(f27634,definition,
    ( spl0_364
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).

thf(f27635,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_364 ),
    inference(avatar_component_clause,[],[f27634]) ).

thf(f27636,plain,
    ( spl0_363
    | spl0_364
    | spl0_102 ),
    inference(avatar_split_clause,[],[f27614,f3420,f27634,f27631]) ).

thf(f27639,definition,
    ( spl0_365
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).

thf(f27640,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_365 ),
    inference(avatar_component_clause,[],[f27639]) ).

thf(f27642,definition,
    ( spl0_366
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).

thf(f27643,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_366 ),
    inference(avatar_component_clause,[],[f27642]) ).

thf(f27644,plain,
    ( spl0_365
    | spl0_366
    | spl0_102 ),
    inference(avatar_split_clause,[],[f27617,f3420,f27642,f27639]) ).

thf(f27647,definition,
    ( spl0_367
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).

thf(f27648,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_367 ),
    inference(avatar_component_clause,[],[f27647]) ).

thf(f27650,definition,
    ( spl0_368
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).

thf(f27651,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_368 ),
    inference(avatar_component_clause,[],[f27650]) ).

thf(f27652,plain,
    ( spl0_367
    | spl0_368
    | spl0_102 ),
    inference(avatar_split_clause,[],[f27616,f3420,f27650,f27647]) ).

thf(f27662,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f26,f402]) ).

thf(f27668,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f27662]) ).

thf(f27672,plain,
    ( spl0_279
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f27668,f401,f20072]) ).

thf(f27705,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f24320,f10018]) ).

thf(f27707,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f24320,f221]) ).

thf(f27717,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f27707]) ).

thf(f27719,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f27705]) ).

thf(f27724,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f27717,f77]) ).

thf(f27725,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f27719,f77]) ).

thf(f27726,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_319 ),
    inference(avatar_contradiction_clause,[],[f27725]) ).

thf(f27727,plain,
    ( spl0_200
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f27724,f24319,f220,f76,f9396]) ).

thf(f27728,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_313 ),
    inference(forward_subsumption_resolution,[],[f24189,f28]) ).

thf(f27730,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_308 ),
    inference(forward_subsumption_resolution,[],[f24349,f28]) ).

thf(f27737,plain,
    ( ! [X0: $i] :
        ( ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f16297,f3342]) ).

thf(f27739,definition,
    ( spl0_370
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).

thf(f27740,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_370 ),
    inference(avatar_component_clause,[],[f27739]) ).

thf(f27741,plain,
    ( spl0_243
    | spl0_370
    | spl0_313 ),
    inference(avatar_split_clause,[],[f24190,f24153,f27739,f13446]) ).

thf(f27743,definition,
    ( spl0_371
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).

thf(f27744,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_371 ),
    inference(avatar_component_clause,[],[f27743]) ).

thf(f27745,plain,
    ( spl0_351
    | spl0_371
    | spl0_308 ),
    inference(avatar_split_clause,[],[f24348,f24136,f27743,f25587]) ).

thf(f27746,plain,
    ( spl0_370
    | spl0_313 ),
    inference(avatar_split_clause,[],[f27728,f24153,f27739]) ).

thf(f27748,plain,
    ( spl0_371
    | spl0_308 ),
    inference(avatar_split_clause,[],[f27730,f24136,f27743]) ).

thf(f27812,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_251
    | spl0_346 ),
    inference(constrained_superposition,[],[f25484,f15353]) ).

thf(f27824,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_346 ),
    inference(constrained_superposition,[],[f25484,f10344]) ).

thf(f27825,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_346 ),
    inference(constrained_superposition,[],[f25484,f10224]) ).

thf(f27827,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f27825]) ).

thf(f27836,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_11
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f27824]) ).

thf(f27840,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_251
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f27812]) ).

thf(f27856,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_251
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27840,f28]) ).

thf(f27867,plain,
    ( spl0_323
    | ~ spl0_251
    | spl0_346 ),
    inference(avatar_split_clause,[],[f27856,f25483,f15352,f24554]) ).

thf(f27898,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_25
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f405,f27640]) ).

thf(f27927,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_25
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f27898]) ).

thf(f27943,definition,
    ( spl0_372
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).

thf(f27944,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_372 ),
    inference(avatar_component_clause,[],[f27943]) ).

thf(f27946,definition,
    ( spl0_373
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).

thf(f27947,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_373 ),
    inference(avatar_component_clause,[],[f27946]) ).

thf(f27951,definition,
    ( spl0_374
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).

thf(f27952,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_374 ),
    inference(avatar_component_clause,[],[f27951]) ).

thf(f27955,definition,
    ( spl0_375
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).

thf(f27956,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_375 ),
    inference(avatar_component_clause,[],[f27955]) ).

thf(f27959,definition,
    ( spl0_376
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).

thf(f27960,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_376 ),
    inference(avatar_component_clause,[],[f27959]) ).

thf(f27962,definition,
    ( spl0_377
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).

thf(f27963,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_377 ),
    inference(avatar_component_clause,[],[f27962]) ).

thf(f27964,plain,
    ( spl0_376
    | spl0_377
    | ~ spl0_313
    | ~ spl0_25
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f27927,f27639,f404,f24153,f27962,f27959]) ).

thf(f27966,definition,
    ( spl0_378
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).

thf(f27967,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_378 ),
    inference(avatar_component_clause,[],[f27966]) ).

thf(f27973,definition,
    ( spl0_379
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).

thf(f27974,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(avatar_component_clause,[],[f27973]) ).

thf(f27977,definition,
    ( spl0_380
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).

thf(f27978,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_380 ),
    inference(avatar_component_clause,[],[f27977]) ).

thf(f27981,definition,
    ( spl0_381
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).

thf(f27982,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_381 ),
    inference(avatar_component_clause,[],[f27981]) ).

thf(f27984,definition,
    ( spl0_382
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).

thf(f27985,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_382 ),
    inference(avatar_component_clause,[],[f27984]) ).

thf(f27988,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_381 ),
    inference(constrained_superposition,[],[f27982,f59]) ).

thf(f27990,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_381 ),
    inference(constrained_superposition,[],[f27982,f32]) ).

thf(f27992,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_381 ),
    inference(trivial_inequality_removal,[],[f27990]) ).

thf(f27993,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_381 ),
    inference(trivial_inequality_removal,[],[f27988]) ).

thf(f27996,definition,
    ( spl0_383
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).

thf(f27997,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_383 ),
    inference(avatar_component_clause,[],[f27996]) ).

thf(f27998,plain,
    ( spl0_248
    | spl0_383
    | spl0_381 ),
    inference(avatar_split_clause,[],[f27992,f27981,f27996,f14270]) ).

thf(f27999,plain,
    ( spl0_383
    | spl0_381 ),
    inference(avatar_split_clause,[],[f27993,f27981,f27996]) ).

thf(f28018,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_197
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f9379,f27963]) ).

thf(f28022,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f43,f27963]) ).

thf(f28027,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f28022]) ).

thf(f28028,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f28018]) ).

thf(f28036,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | spl0_31
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f28027,f6670]) ).

thf(f28037,plain,
    ( spl0_335
    | ~ spl0_197
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f28028,f27962,f9378,f25011]) ).

thf(f28038,plain,
    ( spl0_38
    | spl0_223
    | spl0_31
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f28036,f27962,f458,f11805,f524]) ).

thf(f28066,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_372 ),
    inference(constrained_superposition,[],[f27944,f2995]) ).

thf(f28068,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_372 ),
    inference(constrained_superposition,[],[f27944,f61]) ).

thf(f28069,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_372 ),
    inference(constrained_superposition,[],[f27944,f37]) ).

thf(f28071,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_372 ),
    inference(trivial_inequality_removal,[],[f28069]) ).

thf(f28074,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_372 ),
    inference(trivial_inequality_removal,[],[f28066]) ).

thf(f28075,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_372 ),
    inference(trivial_inequality_removal,[],[f28068]) ).

thf(f28076,plain,
    ( spl0_247
    | spl0_274
    | spl0_372 ),
    inference(avatar_split_clause,[],[f28071,f27943,f19550,f14155]) ).

thf(f28079,plain,
    ( spl0_274
    | spl0_372 ),
    inference(avatar_split_clause,[],[f28074,f27943,f19550]) ).

thf(f28080,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_101
    | spl0_372 ),
    inference(forward_subsumption_resolution,[],[f28075,f13814]) ).

thf(f28081,plain,
    ( spl0_274
    | spl0_101
    | spl0_372 ),
    inference(avatar_split_clause,[],[f28080,f27943,f3417,f19550]) ).

thf(f28084,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f558,f19551]) ).

thf(f28085,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f10518,f19551]) ).

thf(f28090,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f10657,f19551]) ).

thf(f28093,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f28085]) ).

thf(f28096,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f28084]) ).

thf(f28098,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f28090]) ).

thf(f28122,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f558,f27643]) ).

thf(f28123,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f10518,f27643]) ).

thf(f28127,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_198
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f9383,f27643]) ).

thf(f28131,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f28122]) ).

thf(f28132,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f28123]) ).

thf(f28135,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f28127]) ).

thf(f28154,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f10657,f27651]) ).

thf(f28167,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f28154]) ).

thf(f28178,plain,
    ( spl0_219
    | ~ spl0_193
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f25119,f9378,f9357,f11283]) ).

thf(f28183,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f28167,f9397]) ).

thf(f28185,definition,
    ( spl0_385
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).

thf(f28186,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_385 ),
    inference(avatar_component_clause,[],[f28185]) ).

thf(f28188,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | spl0_193 ),
    inference(avatar_component_clause,[],[f9357]) ).

thf(f28190,definition,
    ( spl0_386
  <=> ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).

thf(f28191,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_386 ),
    inference(avatar_component_clause,[],[f28190]) ).

thf(f28196,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | ~ spl0_274 ),
    inference(forward_subsumption_resolution,[],[f28093,f3367]) ).

thf(f28198,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_370 ),
    inference(avatar_component_clause,[],[f27739]) ).

thf(f28200,definition,
    ( spl0_387
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).

thf(f28201,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_387 ),
    inference(avatar_component_clause,[],[f28200]) ).

thf(f28202,plain,
    ( ~ spl0_370
    | spl0_387
    | spl0_193
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f28132,f27642,f166,f97,f9357,f28200,f27739]) ).

thf(f28203,plain,
    ( spl0_193
    | ~ spl0_370
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f28183,f27650,f9396,f166,f97,f27739,f9357]) ).

thf(f28206,plain,
    ( spl0_193
    | spl0_122
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f28196,f19550,f3366,f166,f97,f4015,f9357]) ).

thf(f28279,definition,
    ( spl0_388
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).

thf(f28280,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_388 ),
    inference(avatar_component_clause,[],[f28279]) ).

thf(f28287,definition,
    ( spl0_389
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).

thf(f28288,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_389 ),
    inference(avatar_component_clause,[],[f28287]) ).

thf(f28290,plain,
    ( spl0_387
    | spl0_195
    | ~ spl0_370
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f28131,f27642,f220,f27739,f9369,f28200]) ).

thf(f28292,definition,
    ( spl0_390
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).

thf(f28293,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_390 ),
    inference(avatar_component_clause,[],[f28292]) ).

thf(f28296,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_274 ),
    inference(forward_subsumption_resolution,[],[f28096,f3367]) ).

thf(f28298,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_377 ),
    inference(avatar_component_clause,[],[f27962]) ).

thf(f28299,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_195 ),
    inference(avatar_component_clause,[],[f9369]) ).

thf(f28301,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_274 ),
    inference(forward_subsumption_resolution,[],[f28098,f3859]) ).

thf(f28304,plain,
    ( spl0_122
    | spl0_195
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f28296,f19550,f3366,f220,f9369,f4015]) ).

thf(f28305,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_383 ),
    inference(avatar_component_clause,[],[f27996]) ).

thf(f28306,plain,
    ( ~ spl0_195
    | ~ spl0_383
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f28301,f19550,f3413,f166,f97,f27996,f9369]) ).

thf(f28322,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_194 ),
    inference(constrained_superposition,[],[f2996,f9361]) ).

thf(f28536,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_194 ),
    inference(forward_subsumption_resolution,[],[f28322,f29]) ).

thf(f28554,plain,
    ( $false
    | ~ spl0_194 ),
    inference(forward_subsumption_resolution,[],[f28536,f30]) ).

thf(f28555,plain,
    ~ spl0_194,
    inference(avatar_contradiction_clause,[],[f28554]) ).

thf(f28573,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_13
    | spl0_383 ),
    inference(constrained_superposition,[],[f28305,f221]) ).

thf(f28579,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_383 ),
    inference(trivial_inequality_removal,[],[f28573]) ).

thf(f28582,plain,
    ( spl0_195
    | ~ spl0_13
    | spl0_383 ),
    inference(avatar_split_clause,[],[f28579,f27996,f220,f9369]) ).

thf(f28609,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f405,f27648]) ).

thf(f28611,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_28
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f417,f27648]) ).

thf(f28633,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_25
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f28609]) ).

thf(f28646,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_28
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f28611]) ).

thf(f28653,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_25
    | spl0_309
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f28633,f24450]) ).

thf(f28655,definition,
    ( spl0_391
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).

thf(f28656,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_391 ),
    inference(avatar_component_clause,[],[f28655]) ).

thf(f28658,definition,
    ( spl0_392
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).

thf(f28659,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_392 ),
    inference(avatar_component_clause,[],[f28658]) ).

thf(f28663,definition,
    ( spl0_393
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).

thf(f28664,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_393 ),
    inference(avatar_component_clause,[],[f28663]) ).

thf(f28667,definition,
    ( spl0_394
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).

thf(f28668,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_394 ),
    inference(avatar_component_clause,[],[f28667]) ).

thf(f28670,definition,
    ( spl0_395
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).

thf(f28671,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_395 ),
    inference(avatar_component_clause,[],[f28670]) ).

thf(f28673,definition,
    ( spl0_396
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).

thf(f28674,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_396 ),
    inference(avatar_component_clause,[],[f28673]) ).

thf(f28677,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_28
    | spl0_309
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f28646,f24450]) ).

thf(f28682,definition,
    ( spl0_397
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).

thf(f28683,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_397 ),
    inference(avatar_component_clause,[],[f28682]) ).

thf(f28685,plain,
    ( spl0_376
    | ~ spl0_381
    | ~ spl0_25
    | spl0_309
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f28653,f27647,f24139,f404,f27981,f27959]) ).

thf(f28687,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | spl0_223 ),
    inference(avatar_component_clause,[],[f11805]) ).

thf(f28688,plain,
    ( spl0_376
    | ~ spl0_223
    | ~ spl0_28
    | spl0_309
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f28677,f27647,f24139,f416,f11805,f27959]) ).

thf(f28690,definition,
    ( spl0_398
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).

thf(f28691,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_398 ),
    inference(avatar_component_clause,[],[f28690]) ).

thf(f28694,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_223 ),
    inference(constrained_superposition,[],[f28687,f32]) ).

thf(f28695,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_223 ),
    inference(trivial_inequality_removal,[],[f28694]) ).

thf(f28697,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | spl0_393 ),
    inference(constrained_superposition,[],[f28664,f348]) ).

thf(f28698,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_393 ),
    inference(constrained_superposition,[],[f28664,f61]) ).

thf(f28699,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_393 ),
    inference(constrained_superposition,[],[f28664,f37]) ).

thf(f28701,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_393 ),
    inference(trivial_inequality_removal,[],[f28697]) ).

thf(f28703,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_393 ),
    inference(trivial_inequality_removal,[],[f28698]) ).

thf(f28704,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_393 ),
    inference(trivial_inequality_removal,[],[f28699]) ).

thf(f28705,plain,
    ( $false
    | spl0_377
    | spl0_393 ),
    inference(forward_subsumption_resolution,[],[f28701,f28298]) ).

thf(f28706,plain,
    ( spl0_377
    | spl0_393 ),
    inference(avatar_contradiction_clause,[],[f28705]) ).

thf(f28708,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_377
    | spl0_393 ),
    inference(forward_subsumption_resolution,[],[f28703,f28298]) ).

thf(f28709,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_377
    | spl0_393 ),
    inference(forward_subsumption_resolution,[],[f28704,f28298]) ).

thf(f28711,plain,
    ( $false
    | spl0_377
    | spl0_393 ),
    inference(forward_subsumption_resolution,[],[f28708,f28]) ).

thf(f28712,plain,
    ( spl0_377
    | spl0_393 ),
    inference(avatar_contradiction_clause,[],[f28711]) ).

thf(f28713,plain,
    ( spl0_243
    | spl0_377
    | spl0_393 ),
    inference(avatar_split_clause,[],[f28709,f28663,f27962,f13446]) ).

thf(f28767,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f348,f3421]) ).

thf(f28964,definition,
    ( spl0_399
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).

thf(f28965,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_399 ),
    inference(avatar_component_clause,[],[f28964]) ).

thf(f28990,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f28767,f29]) ).

thf(f28996,plain,
    ( $false
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f28990,f30]) ).

thf(f28997,plain,
    ~ spl0_102,
    inference(avatar_contradiction_clause,[],[f28996]) ).

thf(f28998,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_102 ),
    inference(extensionality_resolution,[],[f10344,f18752]) ).

thf(f28999,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | spl0_102 ),
    inference(extensionality_resolution,[],[f10344,f18752]) ).

thf(f29000,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f346,f18752]) ).

thf(f29001,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f346,f18752]) ).

thf(f29002,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f61,f18752]) ).

thf(f29003,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_102 ),
    inference(extensionality_resolution,[],[f61,f18752]) ).

thf(f29009,plain,
    ( spl0_362
    | spl0_361
    | spl0_102 ),
    inference(avatar_split_clause,[],[f29001,f3420,f27624,f27627]) ).

thf(f29010,plain,
    ( spl0_367
    | spl0_368
    | spl0_102 ),
    inference(avatar_split_clause,[],[f29002,f3420,f27650,f27647]) ).

thf(f29011,plain,
    ( spl0_363
    | spl0_364
    | spl0_102 ),
    inference(avatar_split_clause,[],[f29000,f3420,f27634,f27631]) ).

thf(f29026,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_195 ),
    inference(constrained_superposition,[],[f28299,f10344]) ).

thf(f29027,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_195 ),
    inference(constrained_superposition,[],[f28299,f10224]) ).

thf(f29028,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f29026]) ).

thf(f29030,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f29027]) ).

thf(f29049,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f9839,f28671]) ).

thf(f29057,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f10657,f28671]) ).

thf(f29064,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f29049]) ).

thf(f29067,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f29057]) ).

thf(f29079,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_383
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f27997]) ).

thf(f29081,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f221]) ).

thf(f29089,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_383
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f29079]) ).

thf(f29090,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f29081]) ).

thf(f29100,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_383
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f29089,f77]) ).

thf(f29101,plain,
    ( ~ spl0_1
    | ~ spl0_383
    | ~ spl0_386 ),
    inference(avatar_contradiction_clause,[],[f29100]) ).

thf(f29102,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f29090,f77]) ).

thf(f29103,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13
    | spl0_195
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f29102,f28299]) ).

thf(f29104,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_195
    | ~ spl0_386 ),
    inference(avatar_contradiction_clause,[],[f29103]) ).

thf(f29107,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_195 ),
    inference(forward_subsumption_resolution,[],[f29028,f28]) ).

thf(f29108,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_223 ),
    inference(forward_subsumption_resolution,[],[f28695,f28]) ).

thf(f29109,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_195 ),
    inference(forward_subsumption_resolution,[],[f29030,f28]) ).

thf(f29110,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f29067,f3342]) ).

thf(f29111,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_10
    | ~ spl0_11
    | spl0_195 ),
    inference(forward_subsumption_resolution,[],[f29107,f144]) ).

thf(f29112,plain,
    ( spl0_193
    | spl0_223 ),
    inference(avatar_split_clause,[],[f29108,f11805,f9357]) ).

thf(f29113,plain,
    ( spl0_248
    | spl0_193
    | ~ spl0_4
    | ~ spl0_11
    | spl0_195 ),
    inference(avatar_split_clause,[],[f29109,f9369,f166,f97,f9357,f14270]) ).

thf(f29114,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f29110,f3367]) ).

thf(f29115,plain,
    ( spl0_193
    | spl0_10
    | ~ spl0_11
    | spl0_195 ),
    inference(avatar_split_clause,[],[f29111,f9369,f166,f143,f9357]) ).

thf(f29116,plain,
    ( spl0_193
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f29114,f28670,f3366,f3341,f166,f97,f9357]) ).

thf(f29118,definition,
    ( spl0_401
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).

thf(f29119,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_401 ),
    inference(avatar_component_clause,[],[f29118]) ).

thf(f29120,plain,
    ( spl0_401
    | ~ spl0_377
    | ~ spl0_83
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f29064,f28670,f3327,f27962,f29118]) ).

thf(f29121,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f28135,f27997]) ).

thf(f29122,plain,
    ( ~ spl0_192
    | ~ spl0_198
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f29121,f27996,f27642,f9382,f9353]) ).

thf(f29123,plain,
    ( spl0_365
    | spl0_366
    | spl0_102 ),
    inference(avatar_split_clause,[],[f29003,f3420,f27642,f27639]) ).

thf(f29125,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f558,f9358]) ).

thf(f29130,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f29125]) ).

thf(f29145,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f9888,f11806]) ).

thf(f29160,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f29145]) ).

thf(f29183,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99
    | spl0_101
    | ~ spl0_223 ),
    inference(forward_subsumption_resolution,[],[f29160,f13814]) ).

thf(f29194,plain,
    ( spl0_274
    | ~ spl0_11
    | ~ spl0_99
    | spl0_101
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f29183,f11805,f3417,f3385,f166,f19550]) ).

thf(f29197,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f9353]) ).

thf(f29207,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f395,f9427]) ).

thf(f29222,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f18058,f9427]) ).

thf(f29232,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f29222]) ).

thf(f29243,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f29207]) ).

thf(f29257,plain,
    ( spl0_309
    | spl0_340
    | ~ spl0_22
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f29243,f9426,f394,f25094,f24139]) ).

thf(f29271,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_388 ),
    inference(constrained_superposition,[],[f28280,f36]) ).

thf(f29274,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_388 ),
    inference(trivial_inequality_removal,[],[f29271]) ).

thf(f29276,plain,
    ( spl0_192
    | spl0_388 ),
    inference(avatar_split_clause,[],[f29274,f28279,f9353]) ).

thf(f29295,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_319
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f24320,f27740]) ).

thf(f29302,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_319
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f29295]) ).

thf(f29311,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_319
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f29302,f77]) ).

thf(f29312,plain,
    ( ~ spl0_1
    | ~ spl0_319
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f29311]) ).

thf(f29344,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_202 ),
    inference(constrained_superposition,[],[f2996,f9408]) ).

thf(f29570,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_202 ),
    inference(forward_subsumption_resolution,[],[f29344,f29]) ).

thf(f29589,plain,
    ( $false
    | ~ spl0_202 ),
    inference(forward_subsumption_resolution,[],[f29570,f30]) ).

thf(f29590,plain,
    ~ spl0_202,
    inference(avatar_contradiction_clause,[],[f29589]) ).

thf(f29600,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(forward_subsumption_resolution,[],[f29232,f28]) ).

thf(f29603,plain,
    ( spl0_243
    | spl0_200
    | spl0_196
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f29600,f9426,f231,f9373,f9396,f13446]) ).

thf(f29608,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f10258,f9401]) ).

thf(f29619,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f29608]) ).

thf(f29623,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196
    | spl0_201 ),
    inference(forward_subsumption_resolution,[],[f29619,f27540]) ).

thf(f29626,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196
    | spl0_201 ),
    inference(forward_subsumption_resolution,[],[f29623,f28]) ).

thf(f29627,plain,
    ( spl0_243
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196
    | spl0_201 ),
    inference(avatar_split_clause,[],[f29626,f9404,f9373,f166,f139,f97,f13446]) ).

thf(f29641,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_345 ),
    inference(constrained_superposition,[],[f25307,f36]) ).

thf(f29644,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_345 ),
    inference(trivial_inequality_removal,[],[f29641]) ).

thf(f29646,plain,
    ( $false
    | spl0_196
    | spl0_345 ),
    inference(forward_subsumption_resolution,[],[f29644,f9374]) ).

thf(f29647,plain,
    ( spl0_196
    | spl0_345 ),
    inference(avatar_contradiction_clause,[],[f29646]) ).

thf(f29677,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_9
    | ~ spl0_195 ),
    inference(constrained_superposition,[],[f140,f9370]) ).

thf(f29688,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_195 ),
    inference(trivial_inequality_removal,[],[f29677]) ).

thf(f29697,plain,
    ( ~ spl0_192
    | ~ spl0_9
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f29688,f9369,f139,f9353]) ).

thf(f29723,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_117
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f3909,f19532]) ).

thf(f29734,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_117
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f29723]) ).

thf(f29741,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_117
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f29734,f24140]) ).

thf(f29767,plain,
    ( $false
    | ~ spl0_117
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f9397,f29741]) ).

thf(f29768,plain,
    ( ~ spl0_117
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(avatar_contradiction_clause,[],[f29767]) ).

thf(f29773,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f634,f77]) ).

thf(f29774,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f26817,f77]) ).

thf(f29780,plain,
    ( spl0_9
    | spl0_30
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f29773,f220,f76,f454,f139]) ).

thf(f29781,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | spl0_346
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f29774,f25484]) ).

thf(f29787,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_13
    | spl0_346
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f29781,f25491,f25483,f220,f76,f139]) ).

thf(f29788,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_10
    | ~ spl0_11
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27836,f144]) ).

thf(f29789,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f27827,f28]) ).

thf(f29791,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_193 ),
    inference(forward_subsumption_resolution,[],[f29130,f77]) ).

thf(f29793,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_10
    | ~ spl0_11
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f29788,f28]) ).

thf(f29794,plain,
    ( spl0_348
    | spl0_351
    | ~ spl0_4
    | ~ spl0_11
    | spl0_346 ),
    inference(avatar_split_clause,[],[f29789,f25483,f166,f97,f25587,f25491]) ).

thf(f29795,plain,
    ( spl0_195
    | spl0_9
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f29791,f9357,f220,f76,f139,f9369]) ).

thf(f29796,plain,
    ( spl0_348
    | spl0_10
    | ~ spl0_11
    | spl0_346 ),
    inference(avatar_split_clause,[],[f29793,f25483,f166,f143,f25491]) ).

thf(f29853,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_100
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f9347,f3414]) ).

thf(f29854,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f5218,f3414]) ).

thf(f29857,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f26,f3414]) ).

thf(f29858,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f29857]) ).

thf(f29862,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f29854]) ).

thf(f29863,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_100
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f29853]) ).

thf(f29864,plain,
    ( spl0_222
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f29858,f3413,f11781]) ).

thf(f29865,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_94
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f29862,f77]) ).

thf(f29866,plain,
    ( spl0_221
    | ~ spl0_100
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f29863,f9346,f3413,f11607]) ).

thf(f29867,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_94
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f29865,f3413,f3366,f76,f139]) ).

thf(f29871,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f10076,f13814]) ).

thf(f29873,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f15099,f28]) ).

thf(f29875,plain,
    ( spl0_225
    | ~ spl0_94
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f27737,f3385,f3341,f166,f97,f3366,f12211]) ).

thf(f29878,plain,
    ( spl0_94
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99
    | spl0_101 ),
    inference(avatar_split_clause,[],[f29871,f3417,f3385,f166,f97,f3366]) ).

thf(f29879,plain,
    ( spl0_122
    | ~ spl0_94
    | spl0_337
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f29873,f3385,f166,f97,f25022,f3366,f4015]) ).

thf(f29900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f26,f3367]) ).

thf(f29905,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f29900]) ).

thf(f29944,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f9890,f9427]) ).

thf(f29951,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f29944]) ).

thf(f29965,plain,
    ( spl0_273
    | spl0_202
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f29951,f9426,f3385,f166,f9407,f19531]) ).

thf(f30032,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f9888,f24555]) ).

thf(f30057,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f30032]) ).

thf(f30067,plain,
    ( spl0_243
    | spl0_324
    | ~ spl0_11
    | ~ spl0_99
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f30057,f24554,f3385,f166,f24589,f13446]) ).

thf(f30070,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f558,f19532]) ).

thf(f30080,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f30070]) ).

thf(f30090,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f30080,f3367]) ).

thf(f30092,plain,
    ( spl0_122
    | spl0_200
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f30090,f19531,f3366,f220,f9396,f4015]) ).

thf(f30104,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_200 ),
    inference(avatar_component_clause,[],[f9396]) ).

thf(f30109,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_370 ),
    inference(constrained_superposition,[],[f28198,f221]) ).

thf(f30114,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_370 ),
    inference(trivial_inequality_removal,[],[f30109]) ).

thf(f30118,plain,
    ( spl0_200
    | ~ spl0_13
    | spl0_370 ),
    inference(avatar_split_clause,[],[f30114,f27739,f220,f9396]) ).

thf(f30171,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_396 ),
    inference(constrained_superposition,[],[f28674,f2995]) ).

thf(f30173,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_396 ),
    inference(constrained_superposition,[],[f28674,f61]) ).

thf(f30174,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_396 ),
    inference(constrained_superposition,[],[f28674,f37]) ).

thf(f30176,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | spl0_396 ),
    inference(trivial_inequality_removal,[],[f30173]) ).

thf(f30177,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_396 ),
    inference(trivial_inequality_removal,[],[f30171]) ).

thf(f30178,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_396 ),
    inference(trivial_inequality_removal,[],[f30174]) ).

thf(f30237,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_387 ),
    inference(constrained_superposition,[],[f28201,f19532]) ).

thf(f30245,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_387 ),
    inference(trivial_inequality_removal,[],[f30237]) ).

thf(f30253,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_273
    | ~ spl0_387 ),
    inference(forward_subsumption_resolution,[],[f30245,f3342]) ).

thf(f30254,plain,
    ( ~ spl0_87
    | ~ spl0_273
    | ~ spl0_387 ),
    inference(avatar_contradiction_clause,[],[f30253]) ).

thf(f30264,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_21
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f391,f27640]) ).

thf(f30289,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f30264]) ).

thf(f30298,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_21
    | spl0_309
    | ~ spl0_365 ),
    inference(forward_subsumption_resolution,[],[f30289,f24450]) ).

thf(f30303,plain,
    ( ~ spl0_381
    | spl0_382
    | ~ spl0_21
    | spl0_309
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f30298,f27639,f24139,f390,f27984,f27981]) ).

thf(f30352,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f10518,f24590]) ).

thf(f30356,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f10657,f24590]) ).

thf(f30363,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f30352]) ).

thf(f30365,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f30356]) ).

thf(f30367,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f30363,f3367]) ).

thf(f30368,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f30365,f25499]) ).

thf(f30370,plain,
    ( spl0_348
    | spl0_122
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f30367,f24589,f3366,f166,f97,f4015,f25491]) ).

thf(f30371,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f30368,f27744]) ).

thf(f30372,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f30371,f3859]) ).

thf(f30373,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(avatar_contradiction_clause,[],[f30372]) ).

thf(f30414,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_201
    | ~ spl0_320 ),
    inference(constrained_superposition,[],[f24453,f9405]) ).

thf(f30415,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_320 ),
    inference(constrained_superposition,[],[f24453,f35]) ).

thf(f30427,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_320 ),
    inference(trivial_inequality_removal,[],[f30415]) ).

thf(f30431,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_201
    | ~ spl0_320 ),
    inference(trivial_inequality_removal,[],[f30414]) ).

thf(f30437,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_31
    | ~ spl0_320 ),
    inference(forward_subsumption_resolution,[],[f30427,f6670]) ).

thf(f30438,plain,
    ( $false
    | spl0_31
    | ~ spl0_201
    | ~ spl0_320 ),
    inference(forward_subsumption_resolution,[],[f30431,f6670]) ).

thf(f30439,plain,
    ( spl0_31
    | ~ spl0_201
    | ~ spl0_320 ),
    inference(avatar_contradiction_clause,[],[f30438]) ).

thf(f30441,plain,
    ( $false
    | spl0_31
    | spl0_206
    | ~ spl0_320 ),
    inference(forward_subsumption_resolution,[],[f30437,f24166]) ).

thf(f30442,plain,
    ( spl0_31
    | spl0_206
    | ~ spl0_320 ),
    inference(avatar_contradiction_clause,[],[f30441]) ).

thf(f30462,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f552,f27963]) ).

thf(f30471,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f30462]) ).

thf(f30479,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f30471,f9358]) ).

thf(f30480,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_193
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f30479,f9370]) ).

thf(f30481,plain,
    ( ~ spl0_41
    | ~ spl0_193
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f30480]) ).

thf(f30483,definition,
    ( spl0_411
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).

thf(f30484,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_411 ),
    inference(avatar_component_clause,[],[f30483]) ).

thf(f30488,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_309
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f24320,f24140]) ).

thf(f30492,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f43,f24140]) ).

thf(f30499,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f30492]) ).

thf(f30505,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_309
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f30488]) ).

thf(f30510,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_309
    | ~ spl0_319 ),
    inference(forward_subsumption_resolution,[],[f30505,f398]) ).

thf(f30511,plain,
    ( ~ spl0_23
    | ~ spl0_309
    | ~ spl0_319 ),
    inference(avatar_contradiction_clause,[],[f30510]) ).

thf(f30515,plain,
    ( spl0_310
    | spl0_201
    | spl0_100
    | ~ spl0_11
    | spl0_102 ),
    inference(avatar_split_clause,[],[f28998,f3420,f166,f3413,f9404,f24143]) ).

thf(f30518,definition,
    ( spl0_412
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).

thf(f30519,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_412 ),
    inference(avatar_component_clause,[],[f30518]) ).

thf(f30521,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f6674,f77]) ).

thf(f30526,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f30499,f6670]) ).

thf(f30529,plain,
    ( spl0_24
    | spl0_9
    | ~ spl0_1
    | ~ spl0_13
    | spl0_31 ),
    inference(avatar_split_clause,[],[f30521,f458,f220,f76,f139,f401]) ).

thf(f30530,plain,
    ( spl0_38
    | spl0_206
    | spl0_31
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f30526,f24139,f458,f9426,f524]) ).

thf(f30696,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_200 ),
    inference(constrained_superposition,[],[f30104,f10344]) ).

thf(f30697,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_200 ),
    inference(constrained_superposition,[],[f30104,f10224]) ).

thf(f30698,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_200 ),
    inference(trivial_inequality_removal,[],[f30697]) ).

thf(f30701,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_200 ),
    inference(trivial_inequality_removal,[],[f30696]) ).

thf(f30702,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_200 ),
    inference(forward_subsumption_resolution,[],[f30698,f28]) ).

thf(f30706,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_200 ),
    inference(forward_subsumption_resolution,[],[f30701,f28]) ).

thf(f30710,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_10
    | ~ spl0_11
    | spl0_200 ),
    inference(forward_subsumption_resolution,[],[f30706,f144]) ).

thf(f30715,plain,
    ( spl0_273
    | spl0_396 ),
    inference(avatar_split_clause,[],[f30177,f28673,f19531]) ).

thf(f30717,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | spl0_100
    | spl0_102 ),
    inference(forward_subsumption_resolution,[],[f28999,f3859]) ).

thf(f30718,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_102
    | spl0_396 ),
    inference(forward_subsumption_resolution,[],[f30178,f18752]) ).

thf(f30719,plain,
    ( spl0_273
    | spl0_36
    | spl0_396 ),
    inference(avatar_split_clause,[],[f30176,f28673,f517,f19531]) ).

thf(f30721,plain,
    ( spl0_201
    | spl0_243
    | ~ spl0_4
    | ~ spl0_11
    | spl0_200 ),
    inference(avatar_split_clause,[],[f30702,f9396,f166,f97,f13446,f9404]) ).

thf(f30722,plain,
    ( spl0_201
    | spl0_10
    | ~ spl0_11
    | spl0_200 ),
    inference(avatar_split_clause,[],[f30710,f9396,f166,f143,f9404]) ).

thf(f30724,plain,
    ( spl0_273
    | spl0_201
    | ~ spl0_11
    | spl0_100
    | spl0_102 ),
    inference(avatar_split_clause,[],[f30717,f3420,f3413,f166,f9404,f19531]) ).

thf(f30725,plain,
    ( spl0_273
    | spl0_102
    | spl0_396 ),
    inference(avatar_split_clause,[],[f30718,f28673,f3420,f19531]) ).

thf(f30730,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ X1 @ X2 )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( $true != $true )
        | ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true ) )
    | ~ spl0_225 ),
    inference(constrained_superposition,[],[f26,f12212]) ).

thf(f30735,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
        | ( ( r @ X1 @ z )
         != $true )
        | ( ( r @ z @ X2 )
         != $true )
        | ( ( s @ X0 )
          = ( s @ ( s @ z ) ) )
        | ( ( r @ X1 @ X2 )
         != $true ) )
    | ~ spl0_225 ),
    inference(trivial_inequality_removal,[],[f30730]) ).

thf(f30743,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_20 ),
    inference(constrained_superposition,[],[f737,f9903]) ).

thf(f30751,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_20 ),
    inference(trivial_inequality_removal,[],[f30743]) ).

thf(f30765,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_13
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f558,f9405]) ).

thf(f30770,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f30765]) ).

thf(f30772,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f30770,f77]) ).

thf(f30773,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | spl0_200
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f30772,f30104]) ).

thf(f30774,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_13
    | spl0_200
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f30773,f9404,f9396,f220,f76,f139]) ).

thf(f30811,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f26,f3328]) ).

thf(f30817,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f30811]) ).

thf(f30889,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_191
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f9347,f24144]) ).

thf(f30891,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f10518,f24144]) ).

thf(f30899,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f30891]) ).

thf(f30902,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_191
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f30889]) ).

thf(f30907,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f30899,f27740]) ).

thf(f30908,plain,
    ( spl0_275
    | ~ spl0_191
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f30902,f24143,f9346,f19554]) ).

thf(f30910,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f30907,f3859]) ).

thf(f30912,plain,
    ( spl0_387
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f30910,f27739,f24143,f3413,f166,f97,f28200]) ).

thf(f30918,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f552,f24129]) ).

thf(f30926,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f30918]) ).

thf(f30935,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f30926,f25499]) ).

thf(f30936,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_41
    | ~ spl0_225
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f30935,f12212]) ).

thf(f30937,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f30935,f35]) ).

thf(f30939,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_41
    | ~ spl0_225
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f30936]) ).

thf(f30941,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f30937]) ).

thf(f30942,plain,
    ( spl0_249
    | ~ spl0_41
    | ~ spl0_225
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f30939,f25483,f24128,f12211,f551,f14273]) ).

thf(f30944,plain,
    ( spl0_323
    | ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f30941,f25483,f24128,f551,f24554]) ).

thf(f30945,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | spl0_348 ),
    inference(avatar_component_clause,[],[f25491]) ).

thf(f30946,plain,
    ( ~ spl0_348
    | ~ spl0_346
    | ~ spl0_41
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f30926,f24128,f551,f25483,f25491]) ).

thf(f31040,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_309
    | ~ spl0_387 ),
    inference(constrained_superposition,[],[f28201,f24140]) ).

thf(f31059,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_309
    | ~ spl0_387 ),
    inference(trivial_inequality_removal,[],[f31040]) ).

thf(f31060,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_309
    | ~ spl0_387 ),
    inference(forward_subsumption_resolution,[],[f31059,f402]) ).

thf(f31061,plain,
    ( ~ spl0_24
    | ~ spl0_309
    | ~ spl0_387 ),
    inference(avatar_contradiction_clause,[],[f31060]) ).

thf(f31062,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_85
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f3335,f27640]) ).

thf(f31063,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_88
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f3345,f27640]) ).

thf(f31089,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_85
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f31062]) ).

thf(f31090,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_88
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f31063]) ).

thf(f31106,plain,
    ( spl0_274
    | spl0_375
    | ~ spl0_313
    | ~ spl0_88
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f31090,f27639,f3344,f24153,f27955,f19550]) ).

thf(f31113,definition,
    ( spl0_414
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).

thf(f31114,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_414 ),
    inference(avatar_component_clause,[],[f31113]) ).

thf(f31167,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_88
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f3345,f23348]) ).

thf(f31180,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f263,f23348]) ).

thf(f31189,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_88
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f31167]) ).

thf(f31191,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f31180]) ).

thf(f31209,definition,
    ( spl0_415
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).

thf(f31210,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_415 ),
    inference(avatar_component_clause,[],[f31209]) ).

thf(f31211,plain,
    ( spl0_324
    | spl0_415
    | ~ spl0_313
    | ~ spl0_88
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f31189,f23347,f3344,f24153,f31209,f24589]) ).

thf(f31212,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | spl0_200
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f31191,f30104]) ).

thf(f31220,definition,
    ( spl0_416
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).

thf(f31221,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_416 ),
    inference(avatar_component_clause,[],[f31220]) ).

thf(f31222,plain,
    ( spl0_416
    | ~ spl0_308
    | spl0_200
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f31212,f23347,f9396,f24136,f31220]) ).

thf(f31223,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f558,f23355]) ).

thf(f31226,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f43,f23355]) ).

thf(f31233,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f31226]) ).

thf(f31234,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f31223]) ).

thf(f31237,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f31233,f25492]) ).

thf(f31238,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | spl0_200
    | ~ spl0_303 ),
    inference(forward_subsumption_resolution,[],[f31234,f30104]) ).

thf(f31239,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f31237,f24166]) ).

thf(f31240,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_371 ),
    inference(avatar_component_clause,[],[f27743]) ).

thf(f31242,definition,
    ( spl0_417
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_417])],[avatar_definition]) ).

thf(f31243,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_417 ),
    inference(avatar_component_clause,[],[f31242]) ).

thf(f31244,plain,
    ( ~ spl0_371
    | spl0_417
    | ~ spl0_13
    | spl0_200
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f31238,f23354,f9396,f220,f31242,f27743]) ).

thf(f31275,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f31239,f27744]) ).

thf(f31277,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f31239,f221]) ).

thf(f31284,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f31277]) ).

thf(f31292,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f31275]) ).

thf(f31297,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | spl0_346
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f31284,f25484]) ).

thf(f31298,plain,
    ( $false
    | ~ spl0_1
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f31292,f77]) ).

thf(f31299,plain,
    ( ~ spl0_1
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(avatar_contradiction_clause,[],[f31298]) ).

thf(f31300,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | spl0_346
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f31297,f77]) ).

thf(f31301,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | spl0_346
    | ~ spl0_348 ),
    inference(avatar_contradiction_clause,[],[f31300]) ).

thf(f31302,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_85
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f3335,f23358]) ).

thf(f31311,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f391,f23358]) ).

thf(f31332,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f31311]) ).

thf(f31337,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_85
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f31302]) ).

thf(f31348,definition,
    ( spl0_418
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).

thf(f31349,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_418 ),
    inference(avatar_component_clause,[],[f31348]) ).

thf(f31351,definition,
    ( spl0_419
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).

thf(f31352,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_419 ),
    inference(avatar_component_clause,[],[f31351]) ).

thf(f31355,definition,
    ( spl0_420
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).

thf(f31356,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_420 ),
    inference(avatar_component_clause,[],[f31355]) ).

thf(f31359,definition,
    ( spl0_421
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_421])],[avatar_definition]) ).

thf(f31360,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | spl0_421 ),
    inference(avatar_component_clause,[],[f31359]) ).

thf(f31361,plain,
    ( spl0_415
    | spl0_273
    | ~ spl0_421
    | ~ spl0_85
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f31337,f23357,f3334,f31359,f19531,f31209]) ).

thf(f31363,definition,
    ( spl0_422
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).

thf(f31364,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_422 ),
    inference(avatar_component_clause,[],[f31363]) ).

thf(f31369,definition,
    ( spl0_423
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).

thf(f31370,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_423 ),
    inference(avatar_component_clause,[],[f31369]) ).

thf(f31379,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f6677,f31349]) ).

thf(f31389,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f31379]) ).

thf(f31398,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f31389,f25492]) ).

thf(f31401,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_191
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f9347,f31356]) ).

thf(f31403,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f10518,f31356]) ).

thf(f31411,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f31403]) ).

thf(f31415,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_191
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f31401]) ).

thf(f31417,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f31411,f27744]) ).

thf(f31419,plain,
    ( spl0_347
    | ~ spl0_191
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f31415,f31355,f9346,f25488]) ).

thf(f31420,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f31417,f3859]) ).

thf(f31422,plain,
    ( spl0_417
    | ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f31420,f31355,f27743,f3413,f166,f97,f31242]) ).

thf(f31427,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | spl0_31
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f31398,f27744]) ).

thf(f31429,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_31
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f31398,f221]) ).

thf(f31443,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | spl0_31
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f31429]) ).

thf(f31448,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | spl0_31
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f31427]) ).

thf(f31449,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | spl0_31
    | spl0_346
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f31443,f25484]) ).

thf(f31450,plain,
    ( $false
    | ~ spl0_1
    | spl0_31
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f31448,f77]) ).

thf(f31451,plain,
    ( ~ spl0_1
    | spl0_31
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_418 ),
    inference(avatar_contradiction_clause,[],[f31450]) ).

thf(f31452,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | spl0_346
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f31449,f77]) ).

thf(f31453,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | spl0_346
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(avatar_contradiction_clause,[],[f31452]) ).

thf(f31463,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_306
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f24129]) ).

thf(f31474,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f31463]) ).

thf(f31480,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_306
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f31474,f402]) ).

thf(f31481,plain,
    ( ~ spl0_24
    | ~ spl0_306
    | ~ spl0_417 ),
    inference(avatar_contradiction_clause,[],[f31480]) ).

thf(f31486,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_321
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f24460,f27740]) ).

thf(f31488,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f24460,f221]) ).

thf(f31492,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_309
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f24460,f24140]) ).

thf(f31502,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_321
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f31486]) ).

thf(f31503,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_309
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f31492]) ).

thf(f31504,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f31488]) ).

thf(f31510,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_321
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f31502,f3367]) ).

thf(f31511,plain,
    ( ~ spl0_94
    | ~ spl0_321
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f31510]) ).

thf(f31512,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_309
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f31503,f3328]) ).

thf(f31513,plain,
    ( ~ spl0_83
    | ~ spl0_309
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f31512]) ).

thf(f31514,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f31504,f3367]) ).

thf(f31515,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_94
    | spl0_200
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f31514,f30104]) ).

thf(f31516,plain,
    ( ~ spl0_13
    | ~ spl0_94
    | spl0_200
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f31515]) ).

thf(f31517,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_340 ),
    inference(constrained_superposition,[],[f25095,f23358]) ).

thf(f31527,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_340 ),
    inference(trivial_inequality_removal,[],[f31517]) ).

thf(f31534,definition,
    ( spl0_424
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).

thf(f31535,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_424 ),
    inference(avatar_component_clause,[],[f31534]) ).

thf(f31536,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | spl0_323 ),
    inference(avatar_component_clause,[],[f24554]) ).

thf(f31537,plain,
    ( ~ spl0_424
    | ~ spl0_323
    | ~ spl0_304
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f31527,f25094,f23357,f24554,f31534]) ).

thf(f31540,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_323 ),
    inference(constrained_superposition,[],[f31536,f32]) ).

thf(f31541,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_323 ),
    inference(trivial_inequality_removal,[],[f31540]) ).

thf(f31579,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f43,f27632]) ).

thf(f31587,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f31579]) ).

thf(f31591,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f31587,f25492]) ).

thf(f31592,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f31591,f28687]) ).

thf(f31597,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f31592,f27744]) ).

thf(f31608,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f31597]) ).

thf(f31621,plain,
    ( $false
    | ~ spl0_1
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f31608,f77]) ).

thf(f31622,plain,
    ( ~ spl0_1
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | ~ spl0_371 ),
    inference(avatar_contradiction_clause,[],[f31621]) ).

thf(f31626,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_85
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f3335,f27635]) ).

thf(f31628,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_52
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f9914,f27635]) ).

thf(f31635,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_21
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f391,f27635]) ).

thf(f31640,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f263,f27635]) ).

thf(f31647,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_52
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f31628]) ).

thf(f31658,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f31635]) ).

thf(f31663,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f31640]) ).

thf(f31664,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_85
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f31626]) ).

thf(f31668,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_52
    | ~ spl0_364
    | spl0_377 ),
    inference(forward_subsumption_resolution,[],[f31647,f28298]) ).

thf(f31670,definition,
    ( spl0_425
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).

thf(f31671,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_425 ),
    inference(avatar_component_clause,[],[f31670]) ).

thf(f31674,definition,
    ( spl0_426
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).

thf(f31675,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_426 ),
    inference(avatar_component_clause,[],[f31674]) ).

thf(f31681,definition,
    ( spl0_427
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).

thf(f31682,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_427 ),
    inference(avatar_component_clause,[],[f31681]) ).

thf(f31684,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_346
    | ~ spl0_364 ),
    inference(forward_subsumption_resolution,[],[f31663,f25484]) ).

thf(f31685,plain,
    ( spl0_425
    | ~ spl0_421
    | spl0_274
    | ~ spl0_85
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f31664,f27634,f3334,f19550,f31359,f31670]) ).

thf(f31687,plain,
    ( ~ spl0_421
    | ~ spl0_52
    | ~ spl0_364
    | spl0_377 ),
    inference(avatar_split_clause,[],[f31668,f27962,f27634,f847,f31359]) ).

thf(f31688,plain,
    ( ~ spl0_381
    | spl0_414
    | spl0_346
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f31684,f27634,f25483,f31113,f27981]) ).

thf(f31689,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | spl0_421 ),
    inference(constrained_superposition,[],[f31360,f348]) ).

thf(f31691,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | spl0_421 ),
    inference(constrained_superposition,[],[f31360,f37]) ).

thf(f31692,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_421 ),
    inference(constrained_superposition,[],[f31360,f32]) ).

thf(f31693,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_421 ),
    inference(trivial_inequality_removal,[],[f31689]) ).

thf(f31694,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_421 ),
    inference(trivial_inequality_removal,[],[f31691]) ).

thf(f31696,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_421 ),
    inference(trivial_inequality_removal,[],[f31692]) ).

thf(f31803,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_219
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f11284,f27625]) ).

thf(f31812,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_219
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f31803]) ).

thf(f31861,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_327
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f24751,f25492]) ).

thf(f31862,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_225
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f24751,f12212]) ).

thf(f31865,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_327
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f24751,f27744]) ).

thf(f31867,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f24751,f221]) ).

thf(f31869,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_327
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f24751,f27625]) ).

thf(f31871,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_306
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f24751,f24129]) ).

thf(f31875,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_225
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f31862]) ).

thf(f31880,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_327
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f31861]) ).

thf(f31881,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_327
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f31865]) ).

thf(f31883,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f31867]) ).

thf(f31885,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_327
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f31869]) ).

thf(f31888,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_306
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f31871]) ).

thf(f31889,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_201
    | ~ spl0_225
    | ~ spl0_327 ),
    inference(forward_subsumption_resolution,[],[f31875,f9405]) ).

thf(f31890,plain,
    ( $false
    | ~ spl0_201
    | ~ spl0_327
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f31880,f9405]) ).

thf(f31891,plain,
    ( ~ spl0_201
    | ~ spl0_327
    | ~ spl0_348 ),
    inference(avatar_contradiction_clause,[],[f31890]) ).

thf(f31892,plain,
    ( $false
    | ~ spl0_327
    | ~ spl0_370
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f31881,f27740]) ).

thf(f31893,plain,
    ( ~ spl0_327
    | ~ spl0_370
    | ~ spl0_371 ),
    inference(avatar_contradiction_clause,[],[f31892]) ).

thf(f31894,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | ~ spl0_327
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f31883,f27740]) ).

thf(f31896,plain,
    ( $false
    | ~ spl0_327
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f31885,f27651]) ).

thf(f31897,plain,
    ( ~ spl0_327
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(avatar_contradiction_clause,[],[f31896]) ).

thf(f31899,plain,
    ( $false
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_327 ),
    inference(forward_subsumption_resolution,[],[f31888,f24140]) ).

thf(f31900,plain,
    ( ~ spl0_306
    | ~ spl0_309
    | ~ spl0_327 ),
    inference(avatar_contradiction_clause,[],[f31899]) ).

thf(f31901,plain,
    ( spl0_249
    | ~ spl0_201
    | ~ spl0_225
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f31889,f24750,f12211,f9404,f14273]) ).

thf(f31902,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_327
    | spl0_346
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f31894,f25484]) ).

thf(f31903,plain,
    ( ~ spl0_13
    | ~ spl0_327
    | spl0_346
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f31902]) ).

thf(f31927,definition,
    ( spl0_428
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_428])],[avatar_definition]) ).

thf(f31928,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_428 ),
    inference(avatar_component_clause,[],[f31927]) ).

thf(f31930,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_428 ),
    inference(constrained_superposition,[],[f31928,f60]) ).

thf(f31932,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | spl0_428 ),
    inference(constrained_superposition,[],[f31928,f32]) ).

thf(f31933,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_428 ),
    inference(trivial_inequality_removal,[],[f31932]) ).

thf(f31934,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_428 ),
    inference(trivial_inequality_removal,[],[f31930]) ).

thf(f31936,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_346
    | spl0_428 ),
    inference(forward_subsumption_resolution,[],[f31933,f25484]) ).

thf(f31937,plain,
    ( $false
    | spl0_346
    | spl0_428 ),
    inference(forward_subsumption_resolution,[],[f31934,f25484]) ).

thf(f31938,plain,
    ( spl0_346
    | spl0_428 ),
    inference(avatar_contradiction_clause,[],[f31937]) ).

thf(f31940,plain,
    ( spl0_351
    | spl0_346
    | spl0_428 ),
    inference(avatar_split_clause,[],[f31936,f31927,f25483,f25587]) ).

thf(f31951,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f14277,f27625]) ).

thf(f31972,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f31951]) ).

thf(f32062,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_416 ),
    inference(constrained_superposition,[],[f31221,f348]) ).

thf(f32076,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_416 ),
    inference(trivial_inequality_removal,[],[f32062]) ).

thf(f32084,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_343 ),
    inference(constrained_superposition,[],[f25240,f2996]) ).

thf(f32094,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_343 ),
    inference(trivial_inequality_removal,[],[f32084]) ).

thf(f32153,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ z ) )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_225
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f12212]) ).

thf(f32177,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = ( s @ z ) )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_225
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f32153]) ).

thf(f32236,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_322 ),
    inference(constrained_superposition,[],[f24541,f10344]) ).

thf(f32238,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(constrained_superposition,[],[f24541,f12418]) ).

thf(f32244,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_322 ),
    inference(trivial_inequality_removal,[],[f32236]) ).

thf(f32247,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(trivial_inequality_removal,[],[f32238]) ).

thf(f32325,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_382 ),
    inference(constrained_superposition,[],[f27985,f348]) ).

thf(f32336,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_382 ),
    inference(trivial_inequality_removal,[],[f32325]) ).

thf(f32340,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | spl0_377
    | ~ spl0_382 ),
    inference(forward_subsumption_resolution,[],[f32336,f28298]) ).

thf(f32342,definition,
    ( spl0_429
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).

thf(f32343,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_429 ),
    inference(avatar_component_clause,[],[f32342]) ).

thf(f32344,plain,
    ( ~ spl0_429
    | ~ spl0_32
    | spl0_377
    | ~ spl0_382 ),
    inference(avatar_split_clause,[],[f32340,f27984,f27962,f490,f32342]) ).

thf(f32345,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_429 ),
    inference(constrained_superposition,[],[f32343,f349]) ).

thf(f32348,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_429 ),
    inference(constrained_superposition,[],[f32343,f32]) ).

thf(f32349,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_429 ),
    inference(trivial_inequality_removal,[],[f32345]) ).

thf(f32350,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_429 ),
    inference(trivial_inequality_removal,[],[f32348]) ).

thf(f32353,plain,
    ( spl0_315
    | spl0_429 ),
    inference(avatar_split_clause,[],[f32349,f32342,f24160]) ).

thf(f32354,plain,
    ( spl0_315
    | spl0_247
    | spl0_429 ),
    inference(avatar_split_clause,[],[f32350,f32342,f14155,f24160]) ).

thf(f32360,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_385 ),
    inference(constrained_superposition,[],[f28186,f27625]) ).

thf(f32378,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_385 ),
    inference(trivial_inequality_removal,[],[f32360]) ).

thf(f32398,definition,
    ( spl0_430
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).

thf(f32399,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_430 ),
    inference(avatar_component_clause,[],[f32398]) ).

thf(f32403,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_430 ),
    inference(constrained_superposition,[],[f32399,f61]) ).

thf(f32405,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_430 ),
    inference(constrained_superposition,[],[f32399,f32]) ).

thf(f32406,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_430 ),
    inference(trivial_inequality_removal,[],[f32403]) ).

thf(f32410,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_430 ),
    inference(trivial_inequality_removal,[],[f32405]) ).

thf(f32411,plain,
    ( spl0_243
    | spl0_420
    | spl0_430 ),
    inference(avatar_split_clause,[],[f32406,f32398,f31355,f13446]) ).

thf(f32415,plain,
    ( spl0_420
    | spl0_325
    | spl0_430 ),
    inference(avatar_split_clause,[],[f32410,f32398,f24595,f31355]) ).

thf(f32431,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f558,f24590]) ).

thf(f32444,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f32431]) ).

thf(f32456,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f32444,f3367]) ).

thf(f32457,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_324
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f32456,f25484]) ).

thf(f32458,plain,
    ( spl0_122
    | ~ spl0_13
    | ~ spl0_94
    | ~ spl0_324
    | spl0_346 ),
    inference(avatar_split_clause,[],[f32457,f25483,f24589,f3366,f220,f4015]) ).

thf(f32459,plain,
    ( spl0_306
    | spl0_350
    | spl0_421 ),
    inference(avatar_split_clause,[],[f31696,f31359,f25584,f24128]) ).

thf(f32461,definition,
    ( spl0_431
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).

thf(f32462,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_431 ),
    inference(avatar_component_clause,[],[f32461]) ).

thf(f32463,plain,
    ( ~ spl0_381
    | spl0_306
    | spl0_431
    | ~ spl0_21
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f31658,f27634,f390,f32461,f24128,f27981]) ).

thf(f32464,plain,
    ( spl0_306
    | spl0_421 ),
    inference(avatar_split_clause,[],[f31693,f31359,f24128]) ).

thf(f32466,plain,
    ( spl0_306
    | spl0_248
    | spl0_421 ),
    inference(avatar_split_clause,[],[f31694,f31359,f14270,f24128]) ).

thf(f32467,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f32247,f28]) ).

thf(f32468,plain,
    ( ~ spl0_346
    | ~ spl0_348
    | ~ spl0_219
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f31812,f27624,f11283,f25491,f25483]) ).

thf(f32469,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 ) )
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f32244,f552]) ).

thf(f32471,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f31972,f27744]) ).

thf(f32472,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_302 ),
    inference(avatar_component_clause,[],[f23350]) ).

thf(f32473,plain,
    ( ~ spl0_302
    | ~ spl0_346
    | ~ spl0_361
    | ~ spl0_385 ),
    inference(avatar_split_clause,[],[f32378,f28185,f27624,f25483,f23350]) ).

thf(f32475,definition,
    ( spl0_432
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).

thf(f32476,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_432 ),
    inference(avatar_component_clause,[],[f32475]) ).

thf(f32479,definition,
    ( spl0_433
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).

thf(f32480,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_433 ),
    inference(avatar_component_clause,[],[f32479]) ).

thf(f32482,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_323 ),
    inference(forward_subsumption_resolution,[],[f31541,f28]) ).

thf(f32483,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_324 ),
    inference(avatar_component_clause,[],[f24589]) ).

thf(f32485,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f32467,f3328]) ).

thf(f32487,definition,
    ( spl0_434
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_434])],[avatar_definition]) ).

thf(f32488,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 ) )
    | ~ spl0_434 ),
    inference(avatar_component_clause,[],[f32487]) ).

thf(f32489,plain,
    ( spl0_348
    | spl0_434
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f32469,f24540,f551,f166,f32487,f25491]) ).

thf(f32490,plain,
    ( ~ spl0_346
    | ~ spl0_250
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f32471,f27743,f27624,f14276,f25483]) ).

thf(f32491,plain,
    ( spl0_348
    | spl0_323 ),
    inference(avatar_split_clause,[],[f32482,f24554,f25491]) ).

thf(f32492,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f32485,f3342]) ).

thf(f32493,plain,
    ( spl0_348
    | spl0_325
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_227
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f32492,f24540,f12417,f3341,f3327,f24595,f25491]) ).

thf(f32506,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_13
    | spl0_371 ),
    inference(constrained_superposition,[],[f31240,f221]) ).

thf(f32514,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_13
    | spl0_371 ),
    inference(trivial_inequality_removal,[],[f32506]) ).

thf(f32515,plain,
    ( spl0_346
    | ~ spl0_13
    | spl0_371 ),
    inference(avatar_split_clause,[],[f32514,f27743,f220,f25483]) ).

thf(f32622,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_362
    | ~ spl0_416 ),
    inference(constrained_superposition,[],[f31221,f27628]) ).

thf(f32656,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_416 ),
    inference(trivial_inequality_removal,[],[f32622]) ).

thf(f32670,definition,
    ( spl0_435
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).

thf(f32671,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_435 ),
    inference(avatar_component_clause,[],[f32670]) ).

thf(f32674,definition,
    ( spl0_436
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).

thf(f32675,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_436 ),
    inference(avatar_component_clause,[],[f32674]) ).

thf(f32676,plain,
    ( ~ spl0_436
    | ~ spl0_381
    | ~ spl0_362
    | ~ spl0_416 ),
    inference(avatar_split_clause,[],[f32656,f31220,f27627,f27981,f32674]) ).

thf(f32688,definition,
    ( spl0_438
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_438])],[avatar_definition]) ).

thf(f32689,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_438 ),
    inference(avatar_component_clause,[],[f32688]) ).

thf(f32719,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_394 ),
    inference(constrained_superposition,[],[f28668,f27648]) ).

thf(f32721,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_88
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f3345,f27648]) ).

thf(f32722,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f9914,f27648]) ).

thf(f32729,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f391,f27648]) ).

thf(f32741,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_88
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f32721]) ).

thf(f32744,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f32729]) ).

thf(f32754,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_394 ),
    inference(trivial_inequality_removal,[],[f32719]) ).

thf(f32758,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_52
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f32722]) ).

thf(f32763,plain,
    ( ~ spl0_381
    | spl0_273
    | spl0_375
    | ~ spl0_88
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f32741,f27647,f3344,f27955,f19531,f27981]) ).

thf(f32768,definition,
    ( spl0_439
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).

thf(f32769,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_439 ),
    inference(avatar_component_clause,[],[f32768]) ).

thf(f32770,plain,
    ( ~ spl0_372
    | ~ spl0_439
    | ~ spl0_367
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f32754,f28667,f27647,f32768,f27943]) ).

thf(f32774,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | spl0_439 ),
    inference(constrained_superposition,[],[f32769,f2996]) ).

thf(f32776,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_439 ),
    inference(constrained_superposition,[],[f32769,f61]) ).

thf(f32777,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_439 ),
    inference(constrained_superposition,[],[f32769,f37]) ).

thf(f32778,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_439 ),
    inference(constrained_superposition,[],[f32769,f32]) ).

thf(f32780,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_439 ),
    inference(trivial_inequality_removal,[],[f32776]) ).

thf(f32781,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_439 ),
    inference(trivial_inequality_removal,[],[f32778]) ).

thf(f32782,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_439 ),
    inference(trivial_inequality_removal,[],[f32777]) ).

thf(f32783,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_439 ),
    inference(trivial_inequality_removal,[],[f32774]) ).

thf(f32785,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_101
    | spl0_439 ),
    inference(forward_subsumption_resolution,[],[f32780,f13814]) ).

thf(f32786,plain,
    ( spl0_194
    | spl0_395
    | spl0_439 ),
    inference(avatar_split_clause,[],[f32781,f32768,f28670,f9360]) ).

thf(f32787,plain,
    ( spl0_395
    | spl0_247
    | spl0_439 ),
    inference(avatar_split_clause,[],[f32782,f32768,f14155,f28670]) ).

thf(f32788,plain,
    ( spl0_395
    | spl0_439 ),
    inference(avatar_split_clause,[],[f32783,f32768,f28670]) ).

thf(f32789,plain,
    ( spl0_395
    | spl0_101
    | spl0_439 ),
    inference(avatar_split_clause,[],[f32785,f32768,f3417,f28670]) ).

thf(f32790,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f29905,f28671]) ).

thf(f32798,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f25012,f28671]) ).

thf(f32799,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f14277,f28671]) ).

thf(f32810,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f32798]) ).

thf(f32813,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f32799]) ).

thf(f32819,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f32790]) ).

thf(f32821,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32810,f3328]) ).

thf(f32822,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32813,f3367]) ).

thf(f32825,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32819,f27997]) ).

thf(f32827,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32821,f3342]) ).

thf(f32828,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f32827]) ).

thf(f32829,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32822,f3342]) ).

thf(f32830,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f32829]) ).

thf(f32897,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_94
    | ~ spl0_377
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f32825,f27963]) ).

thf(f32919,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_377
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f32897]) ).

thf(f32925,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_94
    | ~ spl0_377
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f32919,f402]) ).

thf(f32926,plain,
    ( ~ spl0_24
    | ~ spl0_94
    | ~ spl0_377
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f32925]) ).

thf(f32927,plain,
    ( ~ spl0_393
    | spl0_309
    | ~ spl0_52
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f32758,f27647,f847,f24139,f28663]) ).

thf(f32930,plain,
    ( spl0_375
    | spl0_274
    | ~ spl0_305
    | ~ spl0_85
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f31089,f27639,f3334,f24125,f19550,f27955]) ).

thf(f32934,definition,
    ( spl0_440
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).

thf(f32935,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_440 ),
    inference(avatar_component_clause,[],[f32934]) ).

thf(f32941,definition,
    ( spl0_441
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).

thf(f32942,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_441 ),
    inference(avatar_component_clause,[],[f32941]) ).

thf(f32944,plain,
    ( spl0_441
    | ~ spl0_313
    | spl0_306
    | ~ spl0_21
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f31332,f23357,f390,f24128,f24153,f32941]) ).

thf(f32955,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_9
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f140,f9397]) ).

thf(f32956,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f288,f9397]) ).

thf(f32967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f32956]) ).

thf(f32973,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f32955]) ).

thf(f32986,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f11608,f19532]) ).

thf(f32995,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f32986]) ).

thf(f33004,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_201
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f32995,f9405]) ).

thf(f33005,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_201
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f33004,f9397]) ).

thf(f33006,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(avatar_contradiction_clause,[],[f33005]) ).

thf(f33007,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f20073,f28659]) ).

thf(f33014,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_225
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f30735,f28659]) ).

thf(f33033,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f33007]) ).

thf(f33034,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = ( s @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_225
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f33014]) ).

thf(f33040,plain,
    ( spl0_335
    | ~ spl0_279
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f33033,f28658,f20072,f25011]) ).

thf(f33041,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = ( s @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_225
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f33034,f9358]) ).

thf(f33044,plain,
    ( spl0_386
    | spl0_36
    | ~ spl0_193
    | ~ spl0_225
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f33041,f28658,f12211,f9357,f517,f28190]) ).

thf(f33150,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f25298,f23351]) ).

thf(f33161,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f33150]) ).

thf(f33168,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_193
    | ~ spl0_401 ),
    inference(constrained_superposition,[],[f29119,f9358]) ).

thf(f33170,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_401 ),
    inference(constrained_superposition,[],[f29119,f35]) ).

thf(f33182,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_401 ),
    inference(trivial_inequality_removal,[],[f33170]) ).

thf(f33184,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_193
    | ~ spl0_401 ),
    inference(trivial_inequality_removal,[],[f33168]) ).

thf(f33194,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | spl0_31
    | ~ spl0_401 ),
    inference(forward_subsumption_resolution,[],[f33182,f6670]) ).

thf(f33195,plain,
    ( $false
    | spl0_31
    | ~ spl0_193
    | ~ spl0_401 ),
    inference(forward_subsumption_resolution,[],[f33184,f6670]) ).

thf(f33196,plain,
    ( spl0_31
    | ~ spl0_193
    | ~ spl0_401 ),
    inference(avatar_contradiction_clause,[],[f33195]) ).

thf(f33199,plain,
    ( $false
    | spl0_31
    | spl0_223
    | ~ spl0_401 ),
    inference(forward_subsumption_resolution,[],[f33194,f28687]) ).

thf(f33200,plain,
    ( spl0_31
    | spl0_223
    | ~ spl0_401 ),
    inference(avatar_contradiction_clause,[],[f33199]) ).

thf(f33214,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f391,f27628]) ).

thf(f33224,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f10220,f27628]) ).

thf(f33234,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_21
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f33214]) ).

thf(f33237,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f33224]) ).

thf(f33255,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_88
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f3345,f27635]) ).

thf(f33283,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_88
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f33255]) ).

thf(f33300,plain,
    ( spl0_425
    | spl0_274
    | ~ spl0_308
    | ~ spl0_88
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f33283,f27634,f3344,f24136,f19550,f31670]) ).

thf(f33306,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_423 ),
    inference(constrained_superposition,[],[f31370,f23358]) ).

thf(f33309,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_423 ),
    inference(constrained_superposition,[],[f31370,f348]) ).

thf(f33316,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_423 ),
    inference(trivial_inequality_removal,[],[f33306]) ).

thf(f33322,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_423 ),
    inference(trivial_inequality_removal,[],[f33309]) ).

thf(f33325,plain,
    ( ~ spl0_308
    | ~ spl0_428
    | ~ spl0_304
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f33316,f31369,f23357,f31927,f24136]) ).

thf(f33456,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_373 ),
    inference(constrained_superposition,[],[f27947,f27635]) ).

thf(f33464,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_373 ),
    inference(trivial_inequality_removal,[],[f33456]) ).

thf(f33474,plain,
    ( ~ spl0_312
    | ~ spl0_430
    | ~ spl0_364
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f33464,f27946,f27634,f32398,f24149]) ).

thf(f33476,definition,
    ( spl0_442
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).

thf(f33477,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_442 ),
    inference(avatar_component_clause,[],[f33476]) ).

thf(f33479,plain,
    ( ~ spl0_306
    | ~ spl0_346
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f33161,f25297,f23350,f25483,f24128]) ).

thf(f33480,plain,
    ( ~ spl0_196
    | ~ spl0_9
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f32973,f9396,f139,f9373]) ).

thf(f33492,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f288,f25499]) ).

thf(f33497,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f26,f25499]) ).

thf(f33498,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f33492]) ).

thf(f33505,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f33497]) ).

thf(f33596,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f33498,f27632]) ).

thf(f33606,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f33596]) ).

thf(f33618,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_376 ),
    inference(constrained_superposition,[],[f27960,f36]) ).

thf(f33622,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_376 ),
    inference(constrained_superposition,[],[f27960,f27628]) ).

thf(f33628,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_376 ),
    inference(trivial_inequality_removal,[],[f33622]) ).

thf(f33634,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_376 ),
    inference(trivial_inequality_removal,[],[f33618]) ).

thf(f33637,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_301 ),
    inference(avatar_component_clause,[],[f23347]) ).

thf(f33638,plain,
    ( ~ spl0_301
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f33628,f27959,f27627,f31359,f23347]) ).

thf(f33639,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_192
    | ~ spl0_376 ),
    inference(forward_subsumption_resolution,[],[f33634,f9354]) ).

thf(f33640,plain,
    ( ~ spl0_345
    | ~ spl0_63
    | spl0_192
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f33639,f27959,f9353,f1029,f25306]) ).

thf(f33676,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_227
    | ~ spl0_326 ),
    inference(constrained_superposition,[],[f24718,f12418]) ).

thf(f33685,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_227
    | ~ spl0_326 ),
    inference(trivial_inequality_removal,[],[f33676]) ).

thf(f33704,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_375 ),
    inference(constrained_superposition,[],[f27956,f349]) ).

thf(f33713,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_375 ),
    inference(trivial_inequality_removal,[],[f33704]) ).

thf(f33718,plain,
    ( ~ spl0_163
    | spl0_392
    | ~ spl0_429
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f33713,f27955,f32342,f28658,f5933]) ).

thf(f33721,definition,
    ( spl0_443
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).

thf(f33722,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_443 ),
    inference(avatar_component_clause,[],[f33721]) ).

thf(f33750,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_311
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f24147,f27628]) ).

thf(f33759,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_311
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f33750]) ).

thf(f33767,plain,
    ( ~ spl0_372
    | ~ spl0_439
    | ~ spl0_311
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f33759,f27627,f24146,f32768,f27943]) ).

thf(f33771,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f521]) ).

thf(f33776,plain,
    ( spl0_377
    | spl0_398
    | ~ spl0_313
    | ~ spl0_21
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f32744,f27647,f390,f24153,f28690,f27962]) ).

thf(f33781,plain,
    ( spl0_41
    | spl0_36
    | ~ spl0_225
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f32177,f20072,f12211,f517,f551]) ).

thf(f33782,plain,
    ( spl0_37
    | ~ spl0_4
    | ~ spl0_11
    | spl0_20 ),
    inference(avatar_split_clause,[],[f30751,f387,f166,f97,f521]) ).

thf(f33784,plain,
    ( spl0_438
    | ~ spl0_308
    | spl0_377
    | ~ spl0_21
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f33234,f27627,f390,f27962,f24136,f32688]) ).

thf(f33806,definition,
    ( spl0_449
  <=> ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ z )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).

thf(f33807,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_449 ),
    inference(avatar_component_clause,[],[f33806]) ).

thf(f33809,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_87
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f15064,f3342]) ).

thf(f33822,definition,
    ( spl0_451
  <=> ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( z = X1 )
        | ( ( s @ ( s @ z ) )
          = X1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).

thf(f33823,plain,
    ( ! [X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( ( r @ X1 @ z )
          = $true )
        | ( z = X1 ) )
    | ~ spl0_451 ),
    inference(avatar_component_clause,[],[f33822]) ).

thf(f33828,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_87
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f33809,f28]) ).

thf(f33837,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_87
    | ~ spl0_99
    | spl0_102 ),
    inference(forward_subsumption_resolution,[],[f33828,f18752]) ).

thf(f33839,plain,
    ( spl0_37
    | ~ spl0_11
    | ~ spl0_47
    | ~ spl0_87
    | ~ spl0_99
    | spl0_102 ),
    inference(avatar_split_clause,[],[f33837,f3420,f3385,f3341,f742,f166,f521]) ).

thf(f33840,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_343 ),
    inference(forward_subsumption_resolution,[],[f32094,f3555]) ).

thf(f33842,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f785,f9876]) ).

thf(f33843,plain,
    ( spl0_309
    | ~ spl0_62
    | ~ spl0_32
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f33322,f31369,f490,f1025,f24139]) ).

thf(f33845,plain,
    ( ~ spl0_62
    | ~ spl0_32
    | spl0_306
    | ~ spl0_416 ),
    inference(avatar_split_clause,[],[f32076,f31220,f24128,f490,f1025]) ).

thf(f33846,plain,
    ( ~ spl0_110
    | spl0_420
    | ~ spl0_99
    | ~ spl0_343 ),
    inference(avatar_split_clause,[],[f33840,f25239,f3385,f31355,f3663]) ).

thf(f33854,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f33860,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f33854]) ).

thf(f33901,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f558,f33771]) ).

thf(f33908,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f33901]) ).

thf(f33919,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f26,f388]) ).

thf(f33928,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f33919]) ).

thf(f33938,plain,
    ( ( $true != $true )
    | ~ spl0_46
    | spl0_195 ),
    inference(constrained_superposition,[],[f28299,f740]) ).

thf(f33972,plain,
    ( $false
    | ~ spl0_46
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f33938]) ).

thf(f33973,plain,
    ( ~ spl0_46
    | spl0_195 ),
    inference(avatar_contradiction_clause,[],[f33972]) ).

thf(f33981,definition,
    ( spl0_453
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).

thf(f33982,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_453 ),
    inference(avatar_component_clause,[],[f33981]) ).

thf(f33984,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f33606,f27997]) ).

thf(f33986,definition,
    ( spl0_454
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).

thf(f33987,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_454 ),
    inference(avatar_component_clause,[],[f33986]) ).

thf(f33997,plain,
    ( ~ spl0_192
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f33984,f27996,f27631,f25483,f76,f9353]) ).

thf(f33998,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f30817,f3414]) ).

thf(f34001,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f558,f3414]) ).

thf(f34007,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f34001]) ).

thf(f34009,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f33998]) ).

thf(f34011,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f34009,f398]) ).

thf(f34012,plain,
    ( spl0_38
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f34011,f3413,f3327,f397,f524]) ).

thf(f34017,plain,
    ( ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_371 ),
    inference(constrained_superposition,[],[f31240,f33842]) ).

thf(f34046,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_371 ),
    inference(trivial_inequality_removal,[],[f34017]) ).

thf(f34047,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_371 ),
    inference(avatar_contradiction_clause,[],[f34046]) ).

thf(f34054,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_47
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f743,f3338]) ).

thf(f34062,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f9825,f3338]) ).

thf(f34068,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f34062]) ).

thf(f34070,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f34054]) ).

thf(f34078,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f34068,f388]) ).

thf(f34079,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f34070,f3342]) ).

thf(f34080,plain,
    ( ~ spl0_47
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f34079]) ).

thf(f34083,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f34078,f398]) ).

thf(f34084,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(avatar_contradiction_clause,[],[f34083]) ).

thf(f34162,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_29
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f421,f24555]) ).

thf(f34172,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_29
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f34162]) ).

thf(f34185,plain,
    ( spl0_306
    | spl0_343
    | ~ spl0_29
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f34172,f24554,f420,f25239,f24128]) ).

thf(f34205,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f508,f27963]) ).

thf(f34217,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f34205]) ).

thf(f34220,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_192
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f34217,f29197]) ).

thf(f34222,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f34220,f9358]) ).

thf(f34223,plain,
    ( ~ spl0_34
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f34222]) ).

thf(f34224,plain,
    ( spl0_198
    | ~ spl0_1
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f32967,f9396,f76,f9382]) ).

thf(f34229,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f167,f459]) ).

thf(f34239,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f34229]) ).

thf(f34241,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_443 ),
    inference(constrained_superposition,[],[f33722,f60]) ).

thf(f34243,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_443 ),
    inference(constrained_superposition,[],[f33722,f32]) ).

thf(f34245,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_443 ),
    inference(trivial_inequality_removal,[],[f34243]) ).

thf(f34246,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_443 ),
    inference(trivial_inequality_removal,[],[f34241]) ).

thf(f34252,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f34239,f60]) ).

thf(f34255,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f34252]) ).

thf(f34259,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_11
    | spl0_24
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f34255,f2212]) ).

thf(f34260,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | spl0_24
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f34259,f238]) ).

thf(f34261,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_24
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f34260]) ).

thf(f34271,definition,
    ( spl0_459
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_459])],[avatar_definition]) ).

thf(f34272,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_459 ),
    inference(avatar_component_clause,[],[f34271]) ).

thf(f34275,definition,
    ( spl0_460
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).

thf(f34276,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_460 ),
    inference(avatar_component_clause,[],[f34275]) ).

thf(f34308,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f10583,f27963]) ).

thf(f34313,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f26,f27963]) ).

thf(f34319,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f34313]) ).

thf(f34321,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f34308]) ).

thf(f34323,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f34321,f28188]) ).

thf(f34324,plain,
    ( spl0_335
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f34323,f27962,f9357,f166,f97,f25011]) ).

thf(f34411,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f33237,f28]) ).

thf(f34422,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_11
    | spl0_193
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f34411,f28188]) ).

thf(f34424,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_193
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f34422,f28]) ).

thf(f34425,plain,
    ( spl0_348
    | ~ spl0_11
    | spl0_193
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f34424,f27627,f9357,f166,f25491]) ).

thf(f34426,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ X0 ) )
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_227 ),
    inference(forward_subsumption_resolution,[],[f15232,f28]) ).

thf(f34428,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_227
    | ~ spl0_326 ),
    inference(forward_subsumption_resolution,[],[f33685,f28]) ).

thf(f34429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f33908,f77]) ).

thf(f34431,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f34007,f77]) ).

thf(f34434,plain,
    ( ~ spl0_87
    | spl0_337
    | ~ spl0_94
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f34426,f12417,f166,f97,f3366,f25022,f3341]) ).

thf(f34435,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_310 ),
    inference(avatar_component_clause,[],[f24143]) ).

thf(f34436,plain,
    ( spl0_325
    | ~ spl0_310
    | spl0_348
    | ~ spl0_87
    | ~ spl0_227
    | ~ spl0_326 ),
    inference(avatar_split_clause,[],[f34428,f24717,f12417,f3341,f25491,f24143,f24595]) ).

thf(f34437,plain,
    ( spl0_9
    | spl0_24
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f34429,f521,f220,f76,f401,f139]) ).

thf(f34438,plain,
    ( spl0_9
    | spl0_87
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f34431,f3413,f220,f76,f3341,f139]) ).

thf(f34597,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f9914,f27640]) ).

thf(f34619,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f34597]) ).

thf(f34643,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_122
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f4016,f31356]) ).

thf(f34655,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_122
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f34643]) ).

thf(f34663,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f34655,f25499]) ).

thf(f34664,plain,
    ( ~ spl0_122
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(avatar_contradiction_clause,[],[f34663]) ).

thf(f34709,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_301 ),
    inference(constrained_superposition,[],[f33637,f61]) ).

thf(f34712,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_301 ),
    inference(trivial_inequality_removal,[],[f34709]) ).

thf(f34716,plain,
    ( spl0_247
    | spl0_302
    | spl0_301 ),
    inference(avatar_split_clause,[],[f34712,f23347,f23350,f14155]) ).

thf(f34742,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_387 ),
    inference(constrained_superposition,[],[f28201,f23355]) ).

thf(f34759,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_387 ),
    inference(trivial_inequality_removal,[],[f34742]) ).

thf(f34764,plain,
    ( $false
    | ~ spl0_303
    | ~ spl0_346
    | ~ spl0_387 ),
    inference(forward_subsumption_resolution,[],[f34759,f25499]) ).

thf(f34765,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_387 ),
    inference(avatar_contradiction_clause,[],[f34764]) ).

thf(f34809,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f10518,f27625]) ).

thf(f34810,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f10583,f27625]) ).

thf(f34814,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f10657,f27625]) ).

thf(f34818,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f34810]) ).

thf(f34822,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f34814]) ).

thf(f34823,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f34809]) ).

thf(f34827,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f34822,f28188]) ).

thf(f34828,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f34823,f27997]) ).

thf(f34830,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_346
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f34827,f25499]) ).

thf(f34835,definition,
    ( spl0_465
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_465])],[avatar_definition]) ).

thf(f34836,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_465 ),
    inference(avatar_component_clause,[],[f34835]) ).

thf(f34837,plain,
    ( spl0_348
    | spl0_465
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f34828,f27996,f27624,f166,f97,f34835,f25491]) ).

thf(f34839,plain,
    ( spl0_433
    | spl0_348
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f34818,f27624,f166,f97,f25491,f32479]) ).

thf(f34842,definition,
    ( spl0_466
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).

thf(f34843,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_466 ),
    inference(avatar_component_clause,[],[f34842]) ).

thf(f34845,plain,
    ( ~ spl0_371
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_346
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f34830,f27624,f25483,f9357,f166,f97,f27743]) ).

thf(f35085,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f33928,f33771]) ).

thf(f35086,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f33928,f35]) ).

thf(f35095,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( s @ ( s @ z ) )
          = X1 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( z = X1 ) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f33928,f10333]) ).

thf(f35096,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f35085]) ).

thf(f35104,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( z = X1 )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X1 ) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f35095]) ).

thf(f35107,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f35086]) ).

thf(f35110,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f35096,f77]) ).

thf(f35111,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( z = X1 )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( z
          = ( s @ ( s @ z ) ) ) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f35104,f77]) ).

thf(f35112,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_20
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f35107,f534]) ).

thf(f35113,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f35110,f521,f387,f76,f139]) ).

thf(f35114,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( z = X1 )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true ) )
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f35111,f28]) ).

thf(f35115,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_20
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f35112,f77]) ).

thf(f35116,plain,
    ( spl0_451
    | spl0_9
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f35114,f387,f166,f76,f139,f33822]) ).

thf(f35117,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f35115,f458,f387,f76,f139]) ).

thf(f35128,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(constrained_superposition,[],[f32488,f27963]) ).

thf(f35139,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(trivial_inequality_removal,[],[f35128]) ).

thf(f35140,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(forward_subsumption_resolution,[],[f35139,f9370]) ).

thf(f35157,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_195
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(constrained_superposition,[],[f27640,f35140]) ).

thf(f35362,plain,
    ( $false
    | ~ spl0_195
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(forward_subsumption_resolution,[],[f35157,f29]) ).

thf(f35363,plain,
    ( ~ spl0_195
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(avatar_contradiction_clause,[],[f35362]) ).

thf(f35456,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( z = X1 ) )
    | ~ spl0_11
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f10333]) ).

thf(f35458,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( ( r @ X1 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X1 )
        | ( z = X1 )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f35456]) ).

thf(f35470,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(constrained_superposition,[],[f24541,f23355]) ).

thf(f35478,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(trivial_inequality_removal,[],[f35470]) ).

thf(f35514,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f870,f27640]) ).

thf(f35519,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_58
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f35514]) ).

thf(f35548,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_394 ),
    inference(constrained_superposition,[],[f28668,f348]) ).

thf(f35558,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_394 ),
    inference(trivial_inequality_removal,[],[f35548]) ).

thf(f35563,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_309
    | ~ spl0_394 ),
    inference(forward_subsumption_resolution,[],[f35558,f24450]) ).

thf(f35564,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_309
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f35563,f28667,f24139,f5933,f3663]) ).

thf(f35566,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_122
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f4016,f28671]) ).

thf(f35582,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_122
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f35566]) ).

thf(f35592,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f35582,f9370]) ).

thf(f35593,plain,
    ( ~ spl0_122
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f35592]) ).

thf(f35594,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f3338]) ).

thf(f35595,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_23
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f33860,f3338]) ).

thf(f35600,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true ) )
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f43,f3338]) ).

thf(f35601,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(constrained_superposition,[],[f11608,f3338]) ).

thf(f35606,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f35595]) ).

thf(f35607,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(trivial_inequality_removal,[],[f35601]) ).

thf(f35609,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f35594]) ).

thf(f35612,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f35600]) ).

thf(f35618,plain,
    ( spl0_171
    | ~ spl0_23
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f35606,f3337,f397,f6520]) ).

thf(f35619,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_24
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(forward_subsumption_resolution,[],[f35607,f402]) ).

thf(f35620,plain,
    ( spl0_117
    | ~ spl0_86
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f35609,f20072,f3337,f3908]) ).

thf(f35622,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | spl0_31
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[],[f35612,f534]) ).

thf(f35623,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(forward_subsumption_resolution,[],[f35619,f33771]) ).

thf(f35624,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(avatar_contradiction_clause,[],[f35623]) ).

thf(f35626,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_86
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f35622,f3414]) ).

thf(f35627,plain,
    ( spl0_103
    | spl0_31
    | ~ spl0_86
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f35626,f3413,f3337,f458,f3425]) ).

thf(f35698,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_191
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f9347,f28671]) ).

thf(f35701,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_191
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f35698]) ).

thf(f35717,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_303
    | ~ spl0_433 ),
    inference(constrained_superposition,[],[f32480,f23355]) ).

thf(f35725,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_433 ),
    inference(trivial_inequality_removal,[],[f35717]) ).

thf(f35732,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[],[f35725,f9397]) ).

thf(f35753,definition,
    ( spl0_468
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition]) ).

thf(f35754,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_468 ),
    inference(avatar_component_clause,[],[f35753]) ).

thf(f35757,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_311 ),
    inference(constrained_superposition,[],[f24147,f348]) ).

thf(f35765,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_311 ),
    inference(trivial_inequality_removal,[],[f35757]) ).

thf(f35771,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_306
    | ~ spl0_311 ),
    inference(forward_subsumption_resolution,[],[f35765,f25485]) ).

thf(f35772,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_306
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f35771,f24146,f24128,f5933,f3663]) ).

thf(f35792,definition,
    ( spl0_469
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_469])],[avatar_definition]) ).

thf(f35793,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_469 ),
    inference(avatar_component_clause,[],[f35792]) ).

thf(f35795,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_469 ),
    inference(constrained_superposition,[],[f35793,f2996]) ).

thf(f35796,plain,
    ( ( z
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(constrained_superposition,[],[f35793,f346]) ).

thf(f35797,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(constrained_superposition,[],[f35793,f61]) ).

thf(f35800,plain,
    ( ( z
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(trivial_inequality_removal,[],[f35796]) ).

thf(f35803,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(trivial_inequality_removal,[],[f35795]) ).

thf(f35804,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(trivial_inequality_removal,[],[f35797]) ).

thf(f35805,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_469 ),
    inference(forward_subsumption_resolution,[],[f35800,f28]) ).

thf(f35808,plain,
    ( $false
    | spl0_310
    | spl0_469 ),
    inference(forward_subsumption_resolution,[],[f35803,f34435]) ).

thf(f35809,plain,
    ( spl0_310
    | spl0_469 ),
    inference(avatar_contradiction_clause,[],[f35808]) ).

thf(f35810,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | spl0_310
    | spl0_469 ),
    inference(forward_subsumption_resolution,[],[f35804,f34435]) ).

thf(f35811,plain,
    ( $false
    | spl0_310
    | spl0_469 ),
    inference(forward_subsumption_resolution,[],[f35805,f34435]) ).

thf(f35812,plain,
    ( spl0_310
    | spl0_469 ),
    inference(avatar_contradiction_clause,[],[f35811]) ).

thf(f35816,plain,
    ( spl0_36
    | spl0_310
    | spl0_469 ),
    inference(avatar_split_clause,[],[f35810,f35792,f24143,f517]) ).

thf(f35825,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = ( s @ z ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f34319,f10077]) ).

thf(f35828,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = ( s @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f35825]) ).

thf(f35839,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = ( s @ z ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f35828,f28188]) ).

thf(f35845,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = ( s @ z ) )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f35839,f402]) ).

thf(f35850,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = ( s @ z ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_193
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f35845,f28]) ).

thf(f35853,plain,
    ( spl0_47
    | spl0_248
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_193
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f35850,f27962,f9357,f401,f166,f97,f14270,f742]) ).

thf(f35857,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(constrained_superposition,[],[f743,f10344]) ).

thf(f35866,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(trivial_inequality_removal,[],[f35857]) ).

thf(f35872,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_199
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f9388,f9405]) ).

thf(f35878,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_199
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f9388,f23355]) ).

thf(f35884,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f35872]) ).

thf(f35887,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f35878]) ).

thf(f35890,plain,
    ( spl0_217
    | ~ spl0_199
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f35884,f9404,f9387,f11266]) ).

thf(f35900,plain,
    ( spl0_37
    | spl0_449
    | ~ spl0_11
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f35866,f742,f166,f33806,f521]) ).

thf(f35906,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
          = $true )
        | ( z = X1 )
        | ( ( r @ X1 @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X1 ) )
    | ~ spl0_11
    | ~ spl0_279 ),
    inference(forward_subsumption_resolution,[],[f35458,f28]) ).

thf(f35907,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f35478,f9397]) ).

thf(f35915,plain,
    ( spl0_276
    | ~ spl0_191
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f35701,f28670,f9346,f19559]) ).

thf(f35919,plain,
    ( spl0_451
    | spl0_41
    | ~ spl0_11
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f35906,f20072,f166,f551,f33822]) ).

thf(f35920,plain,
    ( ~ spl0_309
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f35907,f24540,f23354,f9396,f24139]) ).

thf(f35922,plain,
    ( ~ spl0_305
    | spl0_377
    | ~ spl0_52
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f34619,f27639,f847,f27962,f24125]) ).

thf(f35923,plain,
    ( ~ spl0_393
    | spl0_309
    | ~ spl0_58
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f35519,f27639,f869,f24139,f28663]) ).

thf(f35924,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[],[f27651,f35732]) ).

thf(f35925,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_433 ),
    inference(avatar_contradiction_clause,[],[f35924]) ).

thf(f35935,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f9873,f459]) ).

thf(f35944,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f35935]) ).

thf(f35949,plain,
    ( spl0_36
    | spl0_20
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f35944,f458,f166,f97,f387,f517]) ).

thf(f35952,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( $true != $true )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | spl0_37 ),
    inference(constrained_superposition,[],[f522,f10333]) ).

thf(f35953,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z
          = ( s @ ( s @ z ) ) )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_11
    | spl0_37 ),
    inference(trivial_inequality_removal,[],[f35952]) ).

thf(f35956,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true ) )
    | ~ spl0_11
    | spl0_37 ),
    inference(forward_subsumption_resolution,[],[f35953,f28]) ).

thf(f35957,plain,
    ( spl0_451
    | ~ spl0_11
    | spl0_37 ),
    inference(avatar_split_clause,[],[f35956,f521,f166,f33822]) ).

thf(f35959,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f388]) ).

thf(f35966,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f35959]) ).

thf(f35976,plain,
    ( spl0_35
    | ~ spl0_20
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f35966,f20072,f387,f511]) ).

thf(f36000,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f9388,f24140]) ).

thf(f36001,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_239
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f13033,f24140]) ).

thf(f36003,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f558,f24140]) ).

thf(f36009,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f10657,f24140]) ).

thf(f36011,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f26,f24140]) ).

thf(f36014,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36011]) ).

thf(f36015,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36000]) ).

thf(f36017,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36001]) ).

thf(f36021,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36009]) ).

thf(f36023,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36003]) ).

thf(f36024,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ~ spl0_11
    | spl0_377 ),
    inference(constrained_superposition,[],[f28298,f10344]) ).

thf(f36025,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_377 ),
    inference(trivial_inequality_removal,[],[f36024]) ).

thf(f36026,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_193
    | spl0_377 ),
    inference(forward_subsumption_resolution,[],[f36025,f28188]) ).

thf(f36027,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_11
    | spl0_37
    | spl0_193
    | spl0_377 ),
    inference(forward_subsumption_resolution,[],[f36026,f522]) ).

thf(f36028,plain,
    ( spl0_243
    | ~ spl0_11
    | spl0_37
    | spl0_193
    | spl0_377 ),
    inference(avatar_split_clause,[],[f36027,f27962,f9357,f521,f166,f13446]) ).

thf(f36030,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_239
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f36017,f24139,f13032,f524,f521]) ).

thf(f36052,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_9
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f140,f25499]) ).

thf(f36066,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_9
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f36052]) ).

thf(f36105,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_436 ),
    inference(constrained_superposition,[],[f32675,f60]) ).

thf(f36107,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_436 ),
    inference(constrained_superposition,[],[f32675,f32]) ).

thf(f36108,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_436 ),
    inference(trivial_inequality_removal,[],[f36105]) ).

thf(f36110,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | spl0_436 ),
    inference(trivial_inequality_removal,[],[f36107]) ).

thf(f36131,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f743,f28659]) ).

thf(f36150,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f36131]) ).

thf(f36153,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f36150,f9370]) ).

thf(f36154,plain,
    ( ~ spl0_47
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f36153]) ).

thf(f36343,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_221
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f11608,f24590]) ).

thf(f36359,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_221
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f36343]) ).

thf(f36360,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_221
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f36359,f25492]) ).

thf(f36361,plain,
    ( $false
    | ~ spl0_221
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f36360,f25499]) ).

thf(f36362,plain,
    ( ~ spl0_221
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(avatar_contradiction_clause,[],[f36361]) ).

thf(f36366,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f10583,f3338]) ).

thf(f36374,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f36366]) ).

thf(f36383,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_37
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[],[f36374,f522]) ).

thf(f36384,plain,
    ( spl0_117
    | ~ spl0_4
    | ~ spl0_11
    | spl0_37
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f36383,f3337,f521,f166,f97,f3908]) ).

thf(f36435,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f512,f24140]) ).

thf(f36446,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f36435]) ).

thf(f36454,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f9914,f27628]) ).

thf(f36460,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_58
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f870,f27628]) ).

thf(f36474,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_58
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f36460]) ).

thf(f36490,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f36454]) ).

thf(f36537,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f11267,f24144]) ).

thf(f36545,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f36537]) ).

thf(f36551,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f36545,f3414]) ).

thf(f36552,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_100
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f36551,f3342]) ).

thf(f36553,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f36552]) ).

thf(f36559,plain,
    ( spl0_326
    | ~ spl0_199
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f35887,f23354,f9387,f24717]) ).

thf(f36594,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f263,f27640]) ).

thf(f36596,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f73,f27640]) ).

thf(f36615,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f36596]) ).

thf(f36617,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f36594]) ).

thf(f36661,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f11284,f28671]) ).

thf(f36671,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f36661]) ).

thf(f36677,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_87
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f36671,f3342]) ).

thf(f36678,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_100
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f36677,f3414]) ).

thf(f36679,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f36678]) ).

thf(f36729,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_274
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f19551]) ).

thf(f36744,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f36729]) ).

thf(f36748,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_274
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f36744,f3352]) ).

thf(f36749,plain,
    ( ~ spl0_90
    | ~ spl0_274
    | ~ spl0_386 ),
    inference(avatar_contradiction_clause,[],[f36748]) ).

thf(f36760,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f9412,f28671]) ).

thf(f36765,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f36760]) ).

thf(f36776,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f36765,f3352]) ).

thf(f36778,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_94
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f36776,f3367]) ).

thf(f36779,plain,
    ( ~ spl0_90
    | ~ spl0_94
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f36778]) ).

thf(f36783,plain,
    ( spl0_377
    | ~ spl0_421
    | ~ spl0_58
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f36474,f27627,f869,f31359,f27962]) ).

thf(f36784,plain,
    ( spl0_306
    | ~ spl0_393
    | ~ spl0_52
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f36490,f27627,f847,f28663,f24128]) ).

thf(f36877,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f512,f24129]) ).

thf(f36881,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f26,f24129]) ).

thf(f36889,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f36881]) ).

thf(f36890,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f36877]) ).

thf(f36945,plain,
    ( ~ spl0_370
    | ~ spl0_200
    | spl0_37
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f36021,f24139,f166,f97,f521,f9396,f27739]) ).

thf(f36946,plain,
    ( spl0_344
    | ~ spl0_199
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f36015,f24139,f9387,f25297]) ).

thf(f36947,plain,
    ( spl0_47
    | ~ spl0_20
    | spl0_200
    | ~ spl0_13
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f36023,f24139,f220,f9396,f387,f742]) ).

thf(f36956,plain,
    ( spl0_370
    | spl0_374
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f36615,f27639,f27951,f27739]) ).

thf(f36958,plain,
    ( spl0_200
    | spl0_443 ),
    inference(avatar_split_clause,[],[f34246,f33721,f9396]) ).

thf(f36959,plain,
    ( ~ spl0_381
    | spl0_200
    | spl0_414
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f36617,f27639,f31113,f9396,f27981]) ).

thf(f36963,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f36890,f25499]) ).

thf(f36964,plain,
    ( spl0_200
    | spl0_243
    | spl0_443 ),
    inference(avatar_split_clause,[],[f34245,f33721,f13446,f9396]) ).

thf(f36967,plain,
    ( ~ spl0_200
    | ~ spl0_370
    | ~ spl0_35
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f36446,f24139,f511,f27739,f9396]) ).

thf(f36977,plain,
    ( ~ spl0_371
    | ~ spl0_35
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f36963,f25483,f24128,f511,f27743]) ).

thf(f36981,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(constrained_superposition,[],[f534,f32]) ).

thf(f36982,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f36981]) ).

thf(f36983,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f36982,f28]) ).

thf(f36984,plain,
    ( spl0_37
    | spl0_31 ),
    inference(avatar_split_clause,[],[f36983,f458,f521]) ).

thf(f36985,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_37
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f33771]) ).

thf(f36988,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f26,f33771]) ).

thf(f36989,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f36988]) ).

thf(f36991,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_37
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f36985]) ).

thf(f36994,plain,
    ( spl0_41
    | ~ spl0_37
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f36991,f20072,f521,f551]) ).

thf(f37130,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f20073,f24161]) ).

thf(f37135,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f11267,f24161]) ).

thf(f37144,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f37135]) ).

thf(f37152,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_279
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f37130]) ).

thf(f37155,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_37
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f37144,f33771]) ).

thf(f37157,plain,
    ( spl0_344
    | ~ spl0_279
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f37152,f24160,f20072,f25297]) ).

thf(f37159,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f37155,f402]) ).

thf(f37160,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f37159]) ).

thf(f37165,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_42
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f6902,f24555]) ).

thf(f37166,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_52
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f9914,f24555]) ).

thf(f37171,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f167,f24555]) ).

thf(f37173,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f9873,f24555]) ).

thf(f37181,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37166]) ).

thf(f37182,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37171]) ).

thf(f37185,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37173]) ).

thf(f37186,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_42
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37165]) ).

thf(f37189,plain,
    ( spl0_371
    | spl0_351
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f37185,f24554,f166,f97,f25587,f27743]) ).

thf(f37229,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_13
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f558,f31356]) ).

thf(f37244,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f37229]) ).

thf(f37246,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_13
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f37244,f27744]) ).

thf(f37247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_13
    | spl0_87
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f37246,f3549]) ).

thf(f37248,plain,
    ( spl0_417
    | ~ spl0_13
    | spl0_87
    | ~ spl0_371
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f37247,f31355,f27743,f3341,f220,f31242]) ).

thf(f37326,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f37182,f349]) ).

thf(f37327,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f37182,f60]) ).

thf(f37329,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37326]) ).

thf(f37333,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f37327]) ).

thf(f37339,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f552,f3328]) ).

thf(f37346,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f37339]) ).

thf(f37351,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_83
    | ~ spl0_87 ),
    inference(forward_subsumption_resolution,[],[f37346,f3342]) ).

thf(f37352,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f37351,f3414]) ).

thf(f37353,plain,
    ( ~ spl0_41
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f37352]) ).

thf(f37440,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_325 ),
    inference(constrained_superposition,[],[f2996,f24596]) ).

thf(f37615,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_325 ),
    inference(forward_subsumption_resolution,[],[f37440,f30]) ).

thf(f37631,plain,
    ( $false
    | ~ spl0_325 ),
    inference(forward_subsumption_resolution,[],[f37615,f29]) ).

thf(f37632,plain,
    ~ spl0_325,
    inference(avatar_contradiction_clause,[],[f37631]) ).

thf(f37655,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f10518,f23351]) ).

thf(f37656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f10583,f23351]) ).

thf(f37665,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f37656]) ).

thf(f37667,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f37655]) ).

thf(f37673,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f37665,f30945]) ).

thf(f37674,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f37667,f27740]) ).

thf(f37675,plain,
    ( spl0_326
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348 ),
    inference(avatar_split_clause,[],[f37673,f25491,f23350,f166,f97,f24717]) ).

thf(f37676,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f37674,f30945]) ).

thf(f37677,plain,
    ( spl0_387
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f37676,f27739,f25491,f23350,f166,f97,f28200]) ).

thf(f37678,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f37667,f30945]) ).

thf(f37679,plain,
    ( spl0_387
    | ~ spl0_370
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348 ),
    inference(avatar_split_clause,[],[f37678,f25491,f23350,f166,f97,f27739,f28200]) ).

thf(f37810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f26,f27740]) ).

thf(f37814,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f37810]) ).

thf(f37930,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_414 ),
    inference(constrained_superposition,[],[f31114,f348]) ).

thf(f37940,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_414 ),
    inference(trivial_inequality_removal,[],[f37930]) ).

thf(f37946,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_377
    | ~ spl0_414 ),
    inference(forward_subsumption_resolution,[],[f37940,f28298]) ).

thf(f37947,plain,
    ( ~ spl0_62
    | ~ spl0_32
    | spl0_377
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f37946,f31113,f27962,f490,f1025]) ).

thf(f38000,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f26,f27997]) ).

thf(f38003,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f38000]) ).

thf(f38011,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f3426,f3328]) ).

thf(f38018,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f38011]) ).

thf(f38022,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f38018,f398]) ).

thf(f38023,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f38022]) ).

thf(f38058,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_84
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f3331,f27648]) ).

thf(f38060,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f6155,f27648]) ).

thf(f38062,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f1091,f27648]) ).

thf(f38066,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f263,f27648]) ).

thf(f38068,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f73,f27648]) ).

thf(f38069,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f53,f27648]) ).

thf(f38070,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f48,f27648]) ).

thf(f38071,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f10220,f27648]) ).

thf(f38072,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f31,f27648]) ).

thf(f38074,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38072]) ).

thf(f38076,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38062]) ).

thf(f38079,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38069]) ).

thf(f38080,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_84
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38058]) ).

thf(f38084,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38060]) ).

thf(f38086,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38071]) ).

thf(f38087,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38070]) ).

thf(f38088,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38066]) ).

thf(f38090,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f38068]) ).

thf(f38094,plain,
    ( ~ spl0_396
    | spl0_394
    | spl0_395
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38084,f27647,f28670,f28667,f28673]) ).

thf(f38115,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f26,f24590]) ).

thf(f38121,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f38115]) ).

thf(f38124,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_342
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f25232,f27628]) ).

thf(f38159,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_342
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f38124]) ).

thf(f38236,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_367
    | ~ spl0_389 ),
    inference(constrained_superposition,[],[f28288,f27648]) ).

thf(f38246,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_367
    | ~ spl0_389 ),
    inference(trivial_inequality_removal,[],[f38236]) ).

thf(f38344,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f37814,f23355]) ).

thf(f38361,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f38344]) ).

thf(f38362,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_370
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f38361,f27744]) ).

thf(f38363,plain,
    ( spl0_417
    | ~ spl0_303
    | ~ spl0_370
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f38362,f27743,f27739,f23354,f31242]) ).

thf(f38396,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f26,f27740]) ).

thf(f38402,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f38396]) ).

thf(f38422,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f38402,f9405]) ).

thf(f38445,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f38422]) ).

thf(f38490,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f38003,f9358]) ).

thf(f38491,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f38003,f35]) ).

thf(f38501,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f38491]) ).

thf(f38506,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f38490]) ).

thf(f38580,definition,
    ( spl0_477
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_477])],[avatar_definition]) ).

thf(f38581,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_477 ),
    inference(avatar_component_clause,[],[f38580]) ).

thf(f38614,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f36014,f23355]) ).

thf(f38622,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f38614]) ).

thf(f38629,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f38622,f24129]) ).

thf(f38635,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f38629,f24590]) ).

thf(f38640,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f38635]) ).

thf(f38648,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f38640,f3338]) ).

thf(f38649,plain,
    ( ~ spl0_86
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_324 ),
    inference(avatar_contradiction_clause,[],[f38648]) ).

thf(f38653,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_394 ),
    inference(constrained_superposition,[],[f28668,f23358]) ).

thf(f38694,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_394 ),
    inference(trivial_inequality_removal,[],[f38653]) ).

thf(f38727,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_433 ),
    inference(constrained_superposition,[],[f32480,f10344]) ).

thf(f38732,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) ) )
    | ~ spl0_11
    | ~ spl0_433 ),
    inference(trivial_inequality_removal,[],[f38727]) ).

thf(f38737,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_219
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[],[f38732,f11284]) ).

thf(f38778,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_415 ),
    inference(constrained_superposition,[],[f31210,f36]) ).

thf(f38785,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_415 ),
    inference(constrained_superposition,[],[f31210,f349]) ).

thf(f38794,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_415 ),
    inference(trivial_inequality_removal,[],[f38778]) ).

thf(f38795,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_415 ),
    inference(trivial_inequality_removal,[],[f38785]) ).

thf(f38797,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_360
    | ~ spl0_415 ),
    inference(forward_subsumption_resolution,[],[f38794,f27594]) ).

thf(f38798,plain,
    ( ~ spl0_429
    | ~ spl0_163
    | spl0_418
    | ~ spl0_415 ),
    inference(avatar_split_clause,[],[f38795,f31209,f31348,f5933,f32342]) ).

thf(f38799,plain,
    ( ~ spl0_104
    | ~ spl0_345
    | spl0_360
    | ~ spl0_415 ),
    inference(avatar_split_clause,[],[f38797,f31209,f27593,f25306,f3594]) ).

thf(f38819,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_83 ),
    inference(avatar_component_clause,[],[f3327]) ).

thf(f38856,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_425 ),
    inference(constrained_superposition,[],[f31671,f36]) ).

thf(f38861,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_425 ),
    inference(constrained_superposition,[],[f31671,f23358]) ).

thf(f38867,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_425 ),
    inference(trivial_inequality_removal,[],[f38856]) ).

thf(f38868,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_425 ),
    inference(trivial_inequality_removal,[],[f38861]) ).

thf(f38875,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_360
    | ~ spl0_425 ),
    inference(forward_subsumption_resolution,[],[f38867,f27594]) ).

thf(f38876,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_367
    | ~ spl0_425 ),
    inference(forward_subsumption_resolution,[],[f38868,f27648]) ).

thf(f38878,plain,
    ( ~ spl0_388
    | ~ spl0_104
    | spl0_360
    | ~ spl0_425 ),
    inference(avatar_split_clause,[],[f38875,f31670,f27593,f3594,f28279]) ).

thf(f38879,plain,
    ( ~ spl0_396
    | ~ spl0_304
    | ~ spl0_367
    | ~ spl0_425 ),
    inference(avatar_split_clause,[],[f38876,f31670,f27647,f23357,f28673]) ).

thf(f38902,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f9379,f27997]) ).

thf(f38912,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f38902]) ).

thf(f38917,plain,
    ( spl0_250
    | ~ spl0_197
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f38912,f27996,f9378,f14276]) ).

thf(f38942,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f38121,f24129]) ).

thf(f38950,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f38942]) ).

thf(f38956,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f38950,f3338]) ).

thf(f38957,plain,
    ( spl0_184
    | ~ spl0_86
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f38956,f24589,f24128,f3337,f7567]) ).

thf(f38958,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f7568,f3414]) ).

thf(f38959,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f7568,f35]) ).

thf(f38969,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f38959]) ).

thf(f38971,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f38958]) ).

thf(f38973,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_99
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f38969,f3386]) ).

thf(f38974,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_100
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f38971,f33771]) ).

thf(f38975,plain,
    ( ~ spl0_37
    | ~ spl0_100
    | ~ spl0_184 ),
    inference(avatar_contradiction_clause,[],[f38974]) ).

thf(f38977,plain,
    ( $false
    | ~ spl0_37
    | spl0_99
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f38973,f33771]) ).

thf(f38978,plain,
    ( ~ spl0_37
    | spl0_99
    | ~ spl0_184 ),
    inference(avatar_contradiction_clause,[],[f38977]) ).

thf(f38984,plain,
    ( ~ spl0_312
    | ~ spl0_430
    | ~ spl0_304
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f38694,f28667,f23357,f32398,f24149]) ).

thf(f38992,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_171
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f6521,f19532]) ).

thf(f38995,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f26,f19532]) ).

thf(f39001,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f38995]) ).

thf(f39004,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_171
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f38992]) ).

thf(f39047,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f3426,f31356]) ).

thf(f39059,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f26,f31356]) ).

thf(f39065,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f39059]) ).

thf(f39068,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f39047]) ).

thf(f39096,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_302
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f36889,f23351]) ).

thf(f39119,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_302
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f39096]) ).

thf(f39120,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f39119,f24140]) ).

thf(f39121,plain,
    ( spl0_320
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f39120,f24139,f24128,f23350,f24452]) ).

thf(f39122,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_11
    | spl0_302 ),
    inference(constrained_superposition,[],[f32472,f10344]) ).

thf(f39123,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | spl0_302 ),
    inference(trivial_inequality_removal,[],[f39122]) ).

thf(f39124,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_342 ),
    inference(constrained_superposition,[],[f25232,f23348]) ).

thf(f39143,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f10220,f23348]) ).

thf(f39145,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f39143]) ).

thf(f39159,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_342 ),
    inference(trivial_inequality_removal,[],[f39124]) ).

thf(f39237,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f39001,f24140]) ).

thf(f39250,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f39237]) ).

thf(f39253,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_86 ),
    inference(avatar_component_clause,[],[f3337]) ).

thf(f39254,plain,
    ( spl0_184
    | ~ spl0_86
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f39250,f24139,f19531,f3337,f7567]) ).

thf(f39255,plain,
    ( ~ spl0_360
    | ~ spl0_9
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f36066,f25483,f139,f27593]) ).

thf(f39257,definition,
    ( spl0_478
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_478])],[avatar_definition]) ).

thf(f39258,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_478 ),
    inference(avatar_component_clause,[],[f39257]) ).

thf(f39259,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_360 ),
    inference(avatar_component_clause,[],[f27593]) ).

thf(f39261,plain,
    ( ~ spl0_360
    | ~ spl0_103
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f39068,f31355,f3425,f27593]) ).

thf(f39263,definition,
    ( spl0_479
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_479])],[avatar_definition]) ).

thf(f39264,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_479 ),
    inference(avatar_component_clause,[],[f39263]) ).

thf(f39288,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_54
    | spl0_86 ),
    inference(constrained_superposition,[],[f39253,f2808]) ).

thf(f39289,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_54
    | spl0_86 ),
    inference(trivial_inequality_removal,[],[f39288]) ).

thf(f39292,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_54
    | spl0_86
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f39289,f3550]) ).

thf(f39294,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_54
    | spl0_86
    | spl0_94
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f39292,f13814]) ).

thf(f39296,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_54
    | spl0_86
    | spl0_87
    | spl0_94
    | spl0_101 ),
    inference(forward_subsumption_resolution,[],[f39294,f3549]) ).

thf(f39298,plain,
    ( $false
    | ~ spl0_54
    | spl0_86
    | spl0_87
    | spl0_94
    | spl0_101
    | spl0_102 ),
    inference(forward_subsumption_resolution,[],[f39296,f18752]) ).

thf(f39299,plain,
    ( ~ spl0_54
    | spl0_86
    | spl0_87
    | spl0_94
    | spl0_101
    | spl0_102 ),
    inference(avatar_contradiction_clause,[],[f39298]) ).

thf(f39320,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_38
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f525,f31349]) ).

thf(f39324,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_418
    | ~ spl0_433 ),
    inference(constrained_superposition,[],[f32480,f31349]) ).

thf(f39331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f26,f31349]) ).

thf(f39334,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_418
    | ~ spl0_433 ),
    inference(trivial_inequality_removal,[],[f39324]) ).

thf(f39338,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f39331]) ).

thf(f39343,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f39320]) ).

thf(f39391,definition,
    ( spl0_480
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_480])],[avatar_definition]) ).

thf(f39392,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_480 ),
    inference(avatar_component_clause,[],[f39391]) ).

thf(f39507,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f27628]) ).

thf(f39520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f39507]) ).

thf(f39526,definition,
    ( spl0_481
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_481])],[avatar_definition]) ).

thf(f39527,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_481 ),
    inference(avatar_component_clause,[],[f39526]) ).

thf(f39529,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(forward_subsumption_resolution,[],[f39520,f23348]) ).

thf(f39532,definition,
    ( spl0_482
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_482])],[avatar_definition]) ).

thf(f39533,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_482 ),
    inference(avatar_component_clause,[],[f39532]) ).

thf(f39537,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_424 ),
    inference(constrained_superposition,[],[f31535,f36]) ).

thf(f39538,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_424 ),
    inference(constrained_superposition,[],[f31535,f32]) ).

thf(f39539,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_424 ),
    inference(trivial_inequality_removal,[],[f39537]) ).

thf(f39540,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_424 ),
    inference(trivial_inequality_removal,[],[f39538]) ).

thf(f39541,plain,
    ( $false
    | spl0_360
    | spl0_424 ),
    inference(forward_subsumption_resolution,[],[f39539,f27594]) ).

thf(f39542,plain,
    ( spl0_360
    | spl0_424 ),
    inference(avatar_contradiction_clause,[],[f39541]) ).

thf(f39543,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_360
    | spl0_424 ),
    inference(forward_subsumption_resolution,[],[f39540,f27594]) ).

thf(f39544,plain,
    ( $false
    | spl0_360
    | spl0_424 ),
    inference(forward_subsumption_resolution,[],[f39543,f28]) ).

thf(f39545,plain,
    ( spl0_360
    | spl0_424 ),
    inference(avatar_contradiction_clause,[],[f39544]) ).

thf(f39561,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f39338,f23355]) ).

thf(f39565,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f26,f23355]) ).

thf(f39567,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f39561]) ).

thf(f39581,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f39565]) ).

thf(f39586,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_315 ),
    inference(avatar_component_clause,[],[f24160]) ).

thf(f39587,plain,
    ( ~ spl0_315
    | spl0_327
    | ~ spl0_303
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f39567,f31348,f23354,f24750,f24160]) ).

thf(f39591,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_340
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f25095,f27648]) ).

thf(f39599,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_340
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f39591]) ).

thf(f39626,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_367
    | ~ spl0_482 ),
    inference(constrained_superposition,[],[f39533,f27648]) ).

thf(f39640,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_367
    | ~ spl0_482 ),
    inference(trivial_inequality_removal,[],[f39626]) ).

thf(f39646,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_481 ),
    inference(constrained_superposition,[],[f39527,f59]) ).

thf(f39653,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_481 ),
    inference(trivial_inequality_removal,[],[f39646]) ).

thf(f39659,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f39529,f27628]) ).

thf(f39671,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f39659]) ).

thf(f39678,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f39581,f25499]) ).

thf(f39689,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f39678]) ).

thf(f39721,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(constrained_superposition,[],[f30484,f23348]) ).

thf(f39735,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(trivial_inequality_removal,[],[f39721]) ).

thf(f39738,plain,
    ( spl0_415
    | ~ spl0_312
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f39735,f30483,f23347,f24149,f31209]) ).

thf(f39740,definition,
    ( spl0_483
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_483])],[avatar_definition]) ).

thf(f39741,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_483 ),
    inference(avatar_component_clause,[],[f39740]) ).

thf(f39745,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f27635]) ).

thf(f39757,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f39745]) ).

thf(f39763,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(forward_subsumption_resolution,[],[f39757,f24555]) ).

thf(f39765,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f39763,f36]) ).

thf(f39776,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f39765]) ).

thf(f39782,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_323
    | spl0_360
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(forward_subsumption_resolution,[],[f39776,f27594]) ).

thf(f39783,plain,
    ( ~ spl0_388
    | ~ spl0_345
    | ~ spl0_323
    | spl0_360
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f39782,f33476,f27634,f27593,f24554,f25306,f28279]) ).

thf(f39795,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f33505,f27632]) ).

thf(f39796,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f39065,f27632]) ).

thf(f39800,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f39581,f27632]) ).

thf(f39805,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f39800]) ).

thf(f39814,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f39796]) ).

thf(f39815,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f39795]) ).

thf(f39825,definition,
    ( spl0_484
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_484])],[avatar_definition]) ).

thf(f39826,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_484 ),
    inference(avatar_component_clause,[],[f39825]) ).

thf(f39827,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_368 ),
    inference(avatar_component_clause,[],[f27650]) ).

thf(f39828,plain,
    ( spl0_484
    | ~ spl0_368
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f39805,f27631,f23354,f27650,f39825]) ).

thf(f39829,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_392 ),
    inference(avatar_component_clause,[],[f28658]) ).

thf(f39832,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_395 ),
    inference(avatar_component_clause,[],[f28670]) ).

thf(f39833,plain,
    ( ~ spl0_395
    | spl0_484
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f39814,f31355,f27631,f39825,f28670]) ).

thf(f39834,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f39815,f9370]) ).

thf(f39836,plain,
    ( spl0_484
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f39834,f27631,f25483,f9369,f39825]) ).

thf(f39841,plain,
    ( ~ spl0_360
    | ~ spl0_38
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f39343,f31348,f524,f27593]) ).

thf(f39845,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f38445,f77]) ).

thf(f39847,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f38506,f77]) ).

thf(f39852,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f39845,f27739,f9404,f76,f139]) ).

thf(f39854,plain,
    ( spl0_9
    | ~ spl0_1
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f39847,f27996,f9357,f76,f139]) ).

thf(f39863,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_454 ),
    inference(forward_subsumption_resolution,[],[f39671,f27648]) ).

thf(f39864,plain,
    ( ~ spl0_468
    | ~ spl0_223
    | ~ spl0_367
    | ~ spl0_482 ),
    inference(avatar_split_clause,[],[f39640,f39532,f27647,f11805,f35753]) ).

thf(f39865,plain,
    ( ~ spl0_388
    | ~ spl0_223
    | ~ spl0_342
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f38159,f27627,f25231,f11805,f28279]) ).

thf(f39866,plain,
    ( ~ spl0_223
    | ~ spl0_388
    | ~ spl0_340
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f39599,f27647,f25094,f28279,f11805]) ).

thf(f39867,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f38501,f77]) ).

thf(f39869,plain,
    ( ~ spl0_223
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f39863,f33986,f27647,f27627,f23347,f11805]) ).

thf(f39870,plain,
    ( spl0_9
    | spl0_223
    | ~ spl0_1
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f39867,f27996,f76,f11805,f139]) ).

thf(f39878,plain,
    ( ~ spl0_392
    | ~ spl0_24
    | ~ spl0_418
    | ~ spl0_433 ),
    inference(avatar_split_clause,[],[f39334,f32479,f31348,f401,f28658]) ).

thf(f39879,plain,
    ( ~ spl0_370
    | spl0_417
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f39689,f25483,f23354,f31242,f27739]) ).

thf(f39881,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_481 ),
    inference(forward_subsumption_resolution,[],[f39653,f238]) ).

thf(f39889,plain,
    ( ~ spl0_95
    | spl0_370
    | ~ spl0_4
    | ~ spl0_481 ),
    inference(avatar_split_clause,[],[f39881,f39526,f97,f27739,f3370]) ).

thf(f39953,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f36989,f24161]) ).

thf(f39954,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f525,f24161]) ).

thf(f39961,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f26,f24161]) ).

thf(f39966,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f39954]) ).

thf(f39967,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f39953]) ).

thf(f39970,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f39961]) ).

thf(f39972,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_201
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f39967,f9405]) ).

thf(f39974,plain,
    ( spl0_319
    | ~ spl0_37
    | ~ spl0_201
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f39972,f24160,f9404,f521,f24319]) ).

thf(f39991,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_468 ),
    inference(constrained_superposition,[],[f35754,f349]) ).

thf(f39994,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_468 ),
    inference(constrained_superposition,[],[f35754,f32]) ).

thf(f39995,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_468 ),
    inference(trivial_inequality_removal,[],[f39994]) ).

thf(f39998,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_468 ),
    inference(trivial_inequality_removal,[],[f39991]) ).

thf(f39999,plain,
    ( spl0_249
    | spl0_392
    | spl0_468 ),
    inference(avatar_split_clause,[],[f39995,f35753,f28658,f14273]) ).

thf(f40002,plain,
    ( spl0_392
    | spl0_468 ),
    inference(avatar_split_clause,[],[f39998,f35753,f28658]) ).

thf(f40004,definition,
    ( spl0_486
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_486])],[avatar_definition]) ).

thf(f40005,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_486 ),
    inference(avatar_component_clause,[],[f40004]) ).

thf(f40007,plain,
    ( ~ spl0_196
    | ~ spl0_38
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f39966,f24160,f524,f9373]) ).

thf(f40008,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f39004,f24140]) ).

thf(f40010,plain,
    ( ~ spl0_196
    | ~ spl0_171
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f40008,f24139,f19531,f6520,f9373]) ).

thf(f40046,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f26,f24144]) ).

thf(f40047,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f40046]) ).

thf(f40079,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f24320,f19532]) ).

thf(f40086,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f40079]) ).

thf(f40094,plain,
    ( ~ spl0_90
    | ~ spl0_273
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f40086,f24319,f19531,f3351]) ).

thf(f40097,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_197
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f9379,f27643]) ).

thf(f40112,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f40097]) ).

thf(f40117,plain,
    ( spl0_385
    | ~ spl0_197
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f40112,f27642,f9378,f28185]) ).

thf(f40141,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_368 ),
    inference(constrained_superposition,[],[f39827,f10344]) ).

thf(f40142,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | spl0_368 ),
    inference(trivial_inequality_removal,[],[f40141]) ).

thf(f40181,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f33505,f23355]) ).

thf(f40182,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f10657,f23355]) ).

thf(f40187,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f40182]) ).

thf(f40197,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f40181]) ).

thf(f40202,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_201
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f24460,f9405]) ).

thf(f40203,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_321 ),
    inference(constrained_superposition,[],[f24460,f35]) ).

thf(f40216,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_201
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f40202]) ).

thf(f40218,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_321 ),
    inference(trivial_inequality_removal,[],[f40203]) ).

thf(f40223,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_201
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f40216,f3414]) ).

thf(f40224,plain,
    ( ~ spl0_100
    | ~ spl0_201
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f40223]) ).

thf(f40225,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_206
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f40218,f24166]) ).

thf(f40227,plain,
    ( $false
    | ~ spl0_100
    | spl0_206
    | ~ spl0_321 ),
    inference(forward_subsumption_resolution,[],[f40225,f3414]) ).

thf(f40228,plain,
    ( ~ spl0_100
    | spl0_206
    | ~ spl0_321 ),
    inference(avatar_contradiction_clause,[],[f40227]) ).

thf(f40253,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f26,f31356]) ).

thf(f40265,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f40253]) ).

thf(f40415,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f27635]) ).

thf(f40430,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f40415]) ).

thf(f40431,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[],[f40430,f24555]) ).

thf(f40432,plain,
    ( ~ spl0_424
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f40431,f28292,f27634,f24554,f31534]) ).

thf(f40604,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_201
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f39970,f9405]) ).

thf(f40622,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_201
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f40604]) ).

thf(f40627,definition,
    ( spl0_487
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_487])],[avatar_definition]) ).

thf(f40628,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_487 ),
    inference(avatar_component_clause,[],[f40627]) ).

thf(f40630,plain,
    ( spl0_487
    | ~ spl0_201
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f40622,f24160,f9404,f40627]) ).

thf(f40736,definition,
    ( spl0_488
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_488])],[avatar_definition]) ).

thf(f40737,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_488 ),
    inference(avatar_component_clause,[],[f40736]) ).

thf(f40853,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f40265,f23355]) ).

thf(f40863,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f40853]) ).

thf(f40867,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_310
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f40863,f24144]) ).

thf(f40868,plain,
    ( spl0_327
    | ~ spl0_303
    | ~ spl0_310
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f40867,f31355,f24143,f23354,f24750]) ).

thf(f40869,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f40187,f30945]) ).

thf(f40879,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_301
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f39145,f30945]) ).

thf(f40882,definition,
    ( spl0_491
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_491])],[avatar_definition]) ).

thf(f40883,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_491 ),
    inference(avatar_component_clause,[],[f40882]) ).

thf(f40886,plain,
    ( spl0_412
    | spl0_383
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38090,f27647,f27996,f30518]) ).

thf(f40896,plain,
    ( spl0_327
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f40197,f25483,f23354,f9396,f24750]) ).

thf(f40900,definition,
    ( spl0_493
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_493])],[avatar_definition]) ).

thf(f40901,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_493 ),
    inference(avatar_component_clause,[],[f40900]) ).

thf(f40910,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | spl0_302
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f39123,f30945]) ).

thf(f40916,plain,
    ( ~ spl0_63
    | spl0_306
    | ~ spl0_52
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f37181,f24554,f847,f24128,f1029]) ).

thf(f40918,definition,
    ( spl0_495
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_495])],[avatar_definition]) ).

thf(f40919,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_495 ),
    inference(avatar_component_clause,[],[f40918]) ).

thf(f40930,plain,
    ( ~ spl0_206
    | ~ spl0_345
    | ~ spl0_301
    | ~ spl0_342 ),
    inference(avatar_split_clause,[],[f39159,f25231,f23347,f25306,f9426]) ).

thf(f40938,definition,
    ( spl0_499
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_499])],[avatar_definition]) ).

thf(f40939,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_499 ),
    inference(avatar_component_clause,[],[f40938]) ).

thf(f40941,plain,
    ( ~ spl0_370
    | ~ spl0_200
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303
    | spl0_348 ),
    inference(avatar_split_clause,[],[f40869,f25491,f23354,f166,f97,f9396,f27739]) ).

thf(f40942,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_301
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f40879,f28]) ).

thf(f40949,plain,
    ( spl0_194
    | spl0_201
    | ~ spl0_11
    | spl0_302
    | spl0_348 ),
    inference(avatar_split_clause,[],[f40910,f25491,f23350,f166,f9404,f9360]) ).

thf(f40954,definition,
    ( spl0_500
  <=> ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_500])],[avatar_definition]) ).

thf(f40955,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_500 ),
    inference(avatar_component_clause,[],[f40954]) ).

thf(f40958,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_301
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f40942,f28]) ).

thf(f40960,plain,
    ( spl0_201
    | ~ spl0_11
    | ~ spl0_301
    | spl0_348 ),
    inference(avatar_split_clause,[],[f40958,f25491,f23347,f166,f9404]) ).

thf(f41035,plain,
    ( $false
    | ~ spl0_46
    | spl0_87 ),
    inference(forward_subsumption_resolution,[],[f3549,f740]) ).

thf(f41036,plain,
    ( ~ spl0_46
    | spl0_87 ),
    inference(avatar_contradiction_clause,[],[f41035]) ).

thf(f41053,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f167,f9427]) ).

thf(f41058,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f41053]) ).

thf(f41109,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f40047,f27740]) ).

thf(f41121,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f41109]) ).

thf(f41124,plain,
    ( spl0_499
    | ~ spl0_310
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f41121,f27739,f24143,f40938]) ).

thf(f41229,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f41058,f60]) ).

thf(f41236,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f41229]) ).

thf(f41349,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f9383,f23351]) ).

thf(f41355,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f10657,f23351]) ).

thf(f41356,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f10593,f23351]) ).

thf(f41359,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f41356]) ).

thf(f41360,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f41349]) ).

thf(f41363,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f41355]) ).

thf(f41373,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f41363,f25499]) ).

thf(f41377,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f41373,f27744]) ).

thf(f41384,definition,
    ( spl0_501
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_501])],[avatar_definition]) ).

thf(f41385,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_501 ),
    inference(avatar_component_clause,[],[f41384]) ).

thf(f41387,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f41359,f27744]) ).

thf(f41391,definition,
    ( spl0_502
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_502])],[avatar_definition]) ).

thf(f41392,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_502 ),
    inference(avatar_component_clause,[],[f41391]) ).

thf(f41393,plain,
    ( spl0_274
    | ~ spl0_305
    | spl0_502
    | ~ spl0_84
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38080,f27647,f3330,f41391,f24125,f19550]) ).

thf(f41394,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(forward_subsumption_resolution,[],[f41236,f238]) ).

thf(f41395,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_302
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f41360,f27744]) ).

thf(f41404,plain,
    ( spl0_201
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f41377,f27743,f25483,f23350,f166,f97,f9404]) ).

thf(f41411,plain,
    ( spl0_201
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f41387,f27743,f23350,f166,f97,f76,f27593,f9404]) ).

thf(f41412,plain,
    ( spl0_200
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f41394,f9426,f166,f97,f9396]) ).

thf(f41413,plain,
    ( ~ spl0_360
    | ~ spl0_198
    | ~ spl0_302
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f41395,f27743,f23350,f9382,f27593]) ).

thf(f41415,definition,
    ( spl0_505
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_505])],[avatar_definition]) ).

thf(f41416,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_505 ),
    inference(avatar_component_clause,[],[f41415]) ).

thf(f41419,definition,
    ( spl0_506
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_506])],[avatar_definition]) ).

thf(f41420,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_506 ),
    inference(avatar_component_clause,[],[f41419]) ).

thf(f41424,definition,
    ( spl0_507
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_507])],[avatar_definition]) ).

thf(f41425,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_507 ),
    inference(avatar_component_clause,[],[f41424]) ).

thf(f41426,plain,
    ( spl0_306
    | spl0_507
    | ~ spl0_42
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f37186,f24554,f693,f41424,f24128]) ).

thf(f41427,plain,
    ( ~ spl0_305
    | ~ spl0_206
    | ~ spl0_367
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f38246,f28287,f27647,f9426,f24125]) ).

thf(f41634,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_344
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f25298,f27643]) ).

thf(f41645,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_344
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f41634]) ).

thf(f41652,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_344
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f41645,f9370]) ).

thf(f41653,plain,
    ( $false
    | ~ spl0_195
    | ~ spl0_344
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f41652,f27963]) ).

thf(f41654,plain,
    ( ~ spl0_195
    | ~ spl0_344
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f41653]) ).

thf(f41777,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_362
    | ~ spl0_389 ),
    inference(constrained_superposition,[],[f28288,f27628]) ).

thf(f41779,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_84
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f3331,f27628]) ).

thf(f41796,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_84
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f41779]) ).

thf(f41799,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_389 ),
    inference(trivial_inequality_removal,[],[f41777]) ).

thf(f41822,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f37182,f27635]) ).

thf(f41823,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_343
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f25240,f27635]) ).

thf(f41841,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_11
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f41822]) ).

thf(f41846,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_343
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f41823]) ).

thf(f41876,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_371
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f27744]) ).

thf(f41879,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f24590]) ).

thf(f41881,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f10077]) ).

thf(f41886,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_371
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f41876]) ).

thf(f41887,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f41881]) ).

thf(f41891,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f41879]) ).

thf(f41897,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_500 ),
    inference(constrained_superposition,[],[f40955,f24129]) ).

thf(f41906,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_306
    | ~ spl0_500 ),
    inference(trivial_inequality_removal,[],[f41897]) ).

thf(f41909,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_500 ),
    inference(forward_subsumption_resolution,[],[f41906,f25499]) ).

thf(f41911,plain,
    ( spl0_194
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_500 ),
    inference(avatar_split_clause,[],[f41909,f40954,f25483,f24128,f9360]) ).

thf(f42015,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_371
    | ~ spl0_484 ),
    inference(constrained_superposition,[],[f39826,f27744]) ).

thf(f42019,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_484 ),
    inference(constrained_superposition,[],[f39826,f24129]) ).

thf(f42020,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_484 ),
    inference(constrained_superposition,[],[f39826,f10077]) ).

thf(f42022,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_484 ),
    inference(trivial_inequality_removal,[],[f42019]) ).

thf(f42024,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_484 ),
    inference(trivial_inequality_removal,[],[f42020]) ).

thf(f42026,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_371
    | ~ spl0_484 ),
    inference(trivial_inequality_removal,[],[f42015]) ).

thf(f42031,plain,
    ( $false
    | ~ spl0_306
    | ~ spl0_377
    | ~ spl0_484 ),
    inference(forward_subsumption_resolution,[],[f42022,f27963]) ).

thf(f42032,plain,
    ( ~ spl0_306
    | ~ spl0_377
    | ~ spl0_484 ),
    inference(avatar_contradiction_clause,[],[f42031]) ).

thf(f42034,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(forward_subsumption_resolution,[],[f42024,f27997]) ).

thf(f42035,plain,
    ( $false
    | ~ spl0_371
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(forward_subsumption_resolution,[],[f42026,f27997]) ).

thf(f42036,plain,
    ( ~ spl0_371
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(avatar_contradiction_clause,[],[f42035]) ).

thf(f42041,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(forward_subsumption_resolution,[],[f42034,f28]) ).

thf(f42046,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(forward_subsumption_resolution,[],[f42041,f30945]) ).

thf(f42049,plain,
    ( spl0_351
    | ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f42046,f39825,f27996,f25491,f166,f97,f25587]) ).

thf(f42084,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_483 ),
    inference(constrained_superposition,[],[f39741,f349]) ).

thf(f42090,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_483 ),
    inference(trivial_inequality_removal,[],[f42084]) ).

thf(f42162,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_339 ),
    inference(constrained_superposition,[],[f25090,f36]) ).

thf(f42169,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_339 ),
    inference(constrained_superposition,[],[f25090,f60]) ).

thf(f42173,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_339 ),
    inference(trivial_inequality_removal,[],[f42169]) ).

thf(f42177,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_339 ),
    inference(trivial_inequality_removal,[],[f42162]) ).

thf(f42179,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_200
    | ~ spl0_339 ),
    inference(forward_subsumption_resolution,[],[f42173,f30104]) ).

thf(f42180,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_196
    | ~ spl0_339 ),
    inference(forward_subsumption_resolution,[],[f42177,f9374]) ).

thf(f42181,plain,
    ( ~ spl0_62
    | ~ spl0_145
    | spl0_200
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f42179,f25089,f9396,f4569,f1025]) ).

thf(f42182,plain,
    ( ~ spl0_104
    | ~ spl0_63
    | spl0_196
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f42180,f25089,f9373,f1029,f3594]) ).

thf(f42286,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_362
    | ~ spl0_502 ),
    inference(constrained_superposition,[],[f41392,f27628]) ).

thf(f42291,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_502 ),
    inference(trivial_inequality_removal,[],[f42286]) ).

thf(f42306,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_431 ),
    inference(constrained_superposition,[],[f32462,f2996]) ).

thf(f42317,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_431 ),
    inference(trivial_inequality_removal,[],[f42306]) ).

thf(f42318,plain,
    ( ~ spl0_372
    | spl0_420
    | ~ spl0_95
    | ~ spl0_431 ),
    inference(avatar_split_clause,[],[f42317,f32461,f3370,f31355,f27943]) ).

thf(f42343,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_389 ),
    inference(forward_subsumption_resolution,[],[f41799,f24555]) ).

thf(f42344,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_304 ),
    inference(avatar_component_clause,[],[f23357]) ).

thf(f42345,plain,
    ( ~ spl0_421
    | ~ spl0_304
    | ~ spl0_362
    | ~ spl0_502 ),
    inference(avatar_split_clause,[],[f42291,f41391,f27627,f23357,f31359]) ).

thf(f42352,definition,
    ( spl0_509
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_509])],[avatar_definition]) ).

thf(f42353,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_509 ),
    inference(avatar_component_clause,[],[f42352]) ).

thf(f42354,plain,
    ( spl0_509
    | ~ spl0_421
    | spl0_274
    | ~ spl0_84
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f41796,f27627,f3330,f19550,f31359,f42352]) ).

thf(f42356,definition,
    ( spl0_510
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_510])],[avatar_definition]) ).

thf(f42357,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_510 ),
    inference(avatar_component_clause,[],[f42356]) ).

thf(f42359,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_493 ),
    inference(forward_subsumption_resolution,[],[f41887,f28]) ).

thf(f42361,definition,
    ( spl0_511
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_511])],[avatar_definition]) ).

thf(f42362,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_511 ),
    inference(avatar_component_clause,[],[f42361]) ).

thf(f42365,plain,
    ( ~ spl0_86
    | ~ spl0_324
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f41891,f40900,f24589,f3337]) ).

thf(f42368,plain,
    ( ~ spl0_20
    | ~ spl0_371
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f41886,f40900,f27743,f387]) ).

thf(f42370,plain,
    ( ~ spl0_421
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f42343,f28287,f27627,f24554,f31359]) ).

thf(f42372,definition,
    ( spl0_512
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_512])],[avatar_definition]) ).

thf(f42373,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_512 ),
    inference(avatar_component_clause,[],[f42372]) ).

thf(f42375,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_493 ),
    inference(forward_subsumption_resolution,[],[f42359,f30945]) ).

thf(f42378,plain,
    ( ~ spl0_20
    | spl0_351
    | ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f42375,f40900,f25491,f166,f97,f25587,f387]) ).

thf(f42380,plain,
    ( ~ spl0_163
    | spl0_315
    | ~ spl0_32
    | ~ spl0_483 ),
    inference(avatar_split_clause,[],[f42090,f39740,f490,f24160,f5933]) ).

thf(f42516,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_324
    | ~ spl0_477 ),
    inference(constrained_superposition,[],[f38581,f24590]) ).

thf(f42525,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_324
    | ~ spl0_477 ),
    inference(trivial_inequality_removal,[],[f42516]) ).

thf(f42546,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_482 ),
    inference(constrained_superposition,[],[f39533,f59]) ).

thf(f42553,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_482 ),
    inference(trivial_inequality_removal,[],[f42546]) ).

thf(f42563,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f24751,f24590]) ).

thf(f42570,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f42563]) ).

thf(f42575,plain,
    ( $false
    | ~ spl0_273
    | ~ spl0_324
    | ~ spl0_327 ),
    inference(forward_subsumption_resolution,[],[f42570,f19532]) ).

thf(f42576,plain,
    ( ~ spl0_273
    | ~ spl0_324
    | ~ spl0_327 ),
    inference(avatar_contradiction_clause,[],[f42575]) ).

thf(f42644,plain,
    ( spl0_392
    | spl0_506
    | ~ spl0_305
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38076,f27647,f24125,f41419,f28658]) ).

thf(f42646,definition,
    ( spl0_513
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_513])],[avatar_definition]) ).

thf(f42647,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_513 ),
    inference(avatar_component_clause,[],[f42646]) ).

thf(f42649,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_482 ),
    inference(forward_subsumption_resolution,[],[f42553,f238]) ).

thf(f42657,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
        = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f785,f9876]) ).

thf(f42660,plain,
    ( ~ spl0_32
    | spl0_370
    | ~ spl0_4
    | ~ spl0_482 ),
    inference(avatar_split_clause,[],[f42649,f39532,f97,f27739,f490]) ).

thf(f42673,plain,
    ( ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_94 ),
    inference(constrained_superposition,[],[f3550,f42657]) ).

thf(f42687,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_94 ),
    inference(trivial_inequality_removal,[],[f42673]) ).

thf(f42688,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f42687]) ).

thf(f42703,definition,
    ( spl0_515
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_515])],[avatar_definition]) ).

thf(f42704,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_515 ),
    inference(avatar_component_clause,[],[f42703]) ).

thf(f42709,definition,
    ( spl0_516
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_516])],[avatar_definition]) ).

thf(f42710,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_516 ),
    inference(avatar_component_clause,[],[f42709]) ).

thf(f42712,plain,
    ( ~ spl0_31
    | spl0_418
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f37329,f24554,f166,f31348,f458]) ).

thf(f42726,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_418 ),
    inference(avatar_component_clause,[],[f31348]) ).

thf(f42727,plain,
    ( ~ spl0_348
    | ~ spl0_418
    | ~ spl0_324
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f42525,f38580,f24589,f31348,f25491]) ).

thf(f42728,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(forward_subsumption_resolution,[],[f37333,f238]) ).

thf(f42734,definition,
    ( spl0_521
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_521])],[avatar_definition]) ).

thf(f42735,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true ) )
    | ~ spl0_521 ),
    inference(avatar_component_clause,[],[f42734]) ).

thf(f42736,plain,
    ( spl0_348
    | spl0_521
    | ~ spl0_11
    | ~ spl0_219
    | ~ spl0_433 ),
    inference(avatar_split_clause,[],[f38737,f32479,f11283,f166,f42734,f25491]) ).

thf(f42738,plain,
    ( spl0_346
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f42728,f24554,f166,f97,f25483]) ).

thf(f42741,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | spl0_101
    | spl0_309 ),
    inference(forward_subsumption_resolution,[],[f24032,f24450]) ).

thf(f42743,definition,
    ( spl0_522
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_522])],[avatar_definition]) ).

thf(f42744,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_522 ),
    inference(avatar_component_clause,[],[f42743]) ).

thf(f42746,plain,
    ( spl0_195
    | spl0_248
    | spl0_436 ),
    inference(avatar_split_clause,[],[f36110,f32674,f14270,f9369]) ).

thf(f42750,plain,
    ( spl0_201
    | spl0_315
    | spl0_37
    | ~ spl0_11
    | spl0_101 ),
    inference(avatar_split_clause,[],[f24031,f3417,f166,f521,f24160,f9404]) ).

thf(f42755,plain,
    ( spl0_195
    | spl0_436 ),
    inference(avatar_split_clause,[],[f36108,f32674,f9369]) ).

thf(f42757,definition,
    ( spl0_524
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_524])],[avatar_definition]) ).

thf(f42758,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_524 ),
    inference(avatar_component_clause,[],[f42757]) ).

thf(f42767,plain,
    ( spl0_37
    | spl0_201
    | ~ spl0_11
    | spl0_101
    | spl0_309 ),
    inference(avatar_split_clause,[],[f42741,f24139,f3417,f166,f9404,f521]) ).

thf(f42780,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f26,f33771]) ).

thf(f42783,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f42780]) ).

thf(f42802,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(constrained_superposition,[],[f40939,f9401]) ).

thf(f42810,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(trivial_inequality_removal,[],[f42802]) ).

thf(f42812,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(forward_subsumption_resolution,[],[f42810,f3414]) ).

thf(f42813,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(forward_subsumption_resolution,[],[f42812,f77]) ).

thf(f42814,plain,
    ( ~ spl0_1
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(avatar_contradiction_clause,[],[f42813]) ).

thf(f42816,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f421,f9427]) ).

thf(f42817,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_42
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f6902,f9427]) ).

thf(f42823,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f167,f9427]) ).

thf(f42829,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f42816]) ).

thf(f42831,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_42
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f42817]) ).

thf(f42836,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f42823]) ).

thf(f42953,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_348
    | ~ spl0_495 ),
    inference(constrained_superposition,[],[f40919,f25492]) ).

thf(f42957,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_348
    | ~ spl0_495 ),
    inference(trivial_inequality_removal,[],[f42953]) ).

thf(f42962,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_348
    | ~ spl0_495 ),
    inference(forward_subsumption_resolution,[],[f42957,f3414]) ).

thf(f42963,plain,
    ( ~ spl0_100
    | ~ spl0_348
    | ~ spl0_495 ),
    inference(avatar_contradiction_clause,[],[f42962]) ).

thf(f42967,definition,
    ( spl0_526
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_526])],[avatar_definition]) ).

thf(f42968,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_526 ),
    inference(avatar_component_clause,[],[f42967]) ).

thf(f42969,plain,
    ( spl0_526
    | spl0_309
    | ~ spl0_42
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f42831,f9426,f693,f24139,f42967]) ).

thf(f42971,plain,
    ( spl0_341
    | spl0_309
    | ~ spl0_29
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f42829,f9426,f420,f24139,f25101]) ).

thf(f43009,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f26,f29197]) ).

thf(f43010,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f43009]) ).

thf(f43046,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f26,f24140]) ).

thf(f43053,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f43046]) ).

thf(f43078,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f288,f25499]) ).

thf(f43088,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f43078]) ).

thf(f43174,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f42836,f27640]) ).

thf(f43176,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_84
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f3331,f27640]) ).

thf(f43199,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_84
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f43176]) ).

thf(f43209,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f43174]) ).

thf(f43213,definition,
    ( spl0_527
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_527])],[avatar_definition]) ).

thf(f43214,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_527 ),
    inference(avatar_component_clause,[],[f43213]) ).

thf(f43215,plain,
    ( ~ spl0_393
    | spl0_527
    | spl0_273
    | ~ spl0_84
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f43199,f27639,f3330,f19531,f43213,f28663]) ).

thf(f43232,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_222
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f11782,f31356]) ).

thf(f43251,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f43232]) ).

thf(f43255,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_348
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f43251,f25492]) ).

thf(f43257,plain,
    ( spl0_466
    | ~ spl0_222
    | ~ spl0_348
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f43255,f31355,f25491,f11781,f34842]) ).

thf(f43289,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_371
    | ~ spl0_466 ),
    inference(constrained_superposition,[],[f34843,f27744]) ).

thf(f43292,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_466 ),
    inference(constrained_superposition,[],[f34843,f24590]) ).

thf(f43296,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_466 ),
    inference(trivial_inequality_removal,[],[f43292]) ).

thf(f43303,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_371
    | ~ spl0_466 ),
    inference(trivial_inequality_removal,[],[f43289]) ).

thf(f43304,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_324
    | ~ spl0_466 ),
    inference(forward_subsumption_resolution,[],[f43296,f3352]) ).

thf(f43305,plain,
    ( ~ spl0_90
    | ~ spl0_324
    | ~ spl0_466 ),
    inference(avatar_contradiction_clause,[],[f43304]) ).

thf(f43306,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_466 ),
    inference(forward_subsumption_resolution,[],[f43303,f77]) ).

thf(f43307,plain,
    ( ~ spl0_1
    | ~ spl0_371
    | ~ spl0_466 ),
    inference(avatar_contradiction_clause,[],[f43306]) ).

thf(f43373,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f10583,f19532]) ).

thf(f43376,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_273
    | ~ spl0_477 ),
    inference(constrained_superposition,[],[f38581,f19532]) ).

thf(f43384,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f43373]) ).

thf(f43386,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_477 ),
    inference(trivial_inequality_removal,[],[f43376]) ).

thf(f43394,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f525,f28659]) ).

thf(f43405,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f43394]) ).

thf(f43413,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_192
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f43405,f29197]) ).

thf(f43414,plain,
    ( ~ spl0_38
    | ~ spl0_192
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f43413]) ).

thf(f43417,plain,
    ( ~ spl0_393
    | ~ spl0_223
    | ~ spl0_343
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f41846,f27634,f25239,f11805,f28663]) ).

thf(f43419,plain,
    ( ~ spl0_223
    | ~ spl0_11
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f41841,f27634,f24554,f166,f11805]) ).

thf(f43420,plain,
    ( ~ spl0_223
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f43209,f27639,f9426,f166,f11805]) ).

thf(f43505,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_122
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f4016,f24144]) ).

thf(f43508,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_122
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f43505]) ).

thf(f43516,plain,
    ( $false
    | ~ spl0_122
    | ~ spl0_200
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f43508,f9397]) ).

thf(f43517,plain,
    ( ~ spl0_122
    | ~ spl0_200
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f43516]) ).

thf(f43574,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f42836,f23348]) ).

thf(f43603,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f43574]) ).

thf(f43609,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_323 ),
    inference(forward_subsumption_resolution,[],[f43603,f24555]) ).

thf(f43610,plain,
    ( ~ spl0_11
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_323 ),
    inference(avatar_contradiction_clause,[],[f43609]) ).

thf(f43612,plain,
    ( ~ spl0_315
    | ~ spl0_201
    | ~ spl0_273
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f43386,f38580,f19531,f9404,f24160]) ).

thf(f43614,plain,
    ( spl0_201
    | spl0_275
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f43384,f19531,f166,f97,f19554,f9404]) ).

thf(f43704,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f37182,f23358]) ).

thf(f43735,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f43704]) ).

thf(f43751,plain,
    ( ~ spl0_206
    | ~ spl0_11
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f43735,f24554,f23357,f166,f9426]) ).

thf(f43829,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_304
    | ~ spl0_482 ),
    inference(constrained_superposition,[],[f39533,f23358]) ).

thf(f43837,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_482 ),
    inference(trivial_inequality_removal,[],[f43829]) ).

thf(f43846,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_482 ),
    inference(forward_subsumption_resolution,[],[f43837,f24555]) ).

thf(f43847,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_482 ),
    inference(constrained_superposition,[],[f43846,f349]) ).

thf(f43851,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_482 ),
    inference(trivial_inequality_removal,[],[f43847]) ).

thf(f43868,plain,
    ( spl0_418
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_482 ),
    inference(avatar_split_clause,[],[f43851,f39532,f24554,f23357,f31348]) ).

thf(f43986,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_11
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f25298,f10344]) ).

thf(f43991,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( $true
          = ( r @ ( s @ X0 ) @ z ) )
        | ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f43986]) ).

thf(f44144,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_505 ),
    inference(constrained_superposition,[],[f41416,f2995]) ).

thf(f44147,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_505 ),
    inference(constrained_superposition,[],[f41416,f59]) ).

thf(f44151,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_505 ),
    inference(trivial_inequality_removal,[],[f44147]) ).

thf(f44153,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_505 ),
    inference(trivial_inequality_removal,[],[f44144]) ).

thf(f44211,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f870,f27635]) ).

thf(f44228,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f44211]) ).

thf(f44231,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | spl0_306
    | ~ spl0_364 ),
    inference(forward_subsumption_resolution,[],[f44228,f25485]) ).

thf(f44232,plain,
    ( ~ spl0_393
    | ~ spl0_58
    | spl0_306
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f44231,f27634,f24128,f869,f28663]) ).

thf(f44233,plain,
    ( ~ spl0_62
    | ~ spl0_32
    | spl0_383
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f44151,f41415,f27996,f490,f1025]) ).

thf(f44272,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f26,f24590]) ).

thf(f44277,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f44272]) ).

thf(f44287,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_301
    | ~ spl0_339 ),
    inference(constrained_superposition,[],[f25090,f23348]) ).

thf(f44288,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_301
    | ~ spl0_341 ),
    inference(constrained_superposition,[],[f25102,f23348]) ).

thf(f44306,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_341 ),
    inference(trivial_inequality_removal,[],[f44288]) ).

thf(f44323,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_339 ),
    inference(trivial_inequality_removal,[],[f44287]) ).

thf(f44328,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_301
    | ~ spl0_323
    | ~ spl0_341 ),
    inference(forward_subsumption_resolution,[],[f44306,f24555]) ).

thf(f44333,plain,
    ( ~ spl0_312
    | ~ spl0_421
    | ~ spl0_301
    | ~ spl0_339 ),
    inference(avatar_split_clause,[],[f44323,f25089,f23347,f31359,f24149]) ).

thf(f44334,plain,
    ( ~ spl0_421
    | ~ spl0_301
    | ~ spl0_323
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f44328,f25101,f24554,f23347,f31359]) ).

thf(f44423,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_364
    | ~ spl0_527 ),
    inference(constrained_superposition,[],[f43214,f27635]) ).

thf(f44438,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_527 ),
    inference(trivial_inequality_removal,[],[f44423]) ).

thf(f44440,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_527 ),
    inference(forward_subsumption_resolution,[],[f44438,f23348]) ).

thf(f44441,plain,
    ( ~ spl0_421
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_527 ),
    inference(avatar_split_clause,[],[f44440,f43213,f27634,f23347,f31359]) ).

thf(f44447,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( z
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f43053,f10178]) ).

thf(f44459,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f44447]) ).

thf(f44523,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f9388,f27740]) ).

thf(f44536,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f44523]) ).

thf(f44540,plain,
    ( spl0_224
    | ~ spl0_199
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f44536,f27739,f9387,f11966]) ).

thf(f44555,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_509 ),
    inference(constrained_superposition,[],[f42353,f23348]) ).

thf(f44562,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_323
    | ~ spl0_509 ),
    inference(constrained_superposition,[],[f42353,f24555]) ).

thf(f44566,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_509 ),
    inference(trivial_inequality_removal,[],[f44562]) ).

thf(f44571,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_509 ),
    inference(trivial_inequality_removal,[],[f44555]) ).

thf(f44574,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_522 ),
    inference(constrained_superposition,[],[f42744,f36]) ).

thf(f44587,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_522 ),
    inference(trivial_inequality_removal,[],[f44574]) ).

thf(f44614,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_192
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f43010,f9358]) ).

thf(f44617,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_192
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f43010,f27997]) ).

thf(f44624,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f44617]) ).

thf(f44628,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f44614]) ).

thf(f44632,plain,
    ( spl0_203
    | ~ spl0_192
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f44624,f27996,f9353,f9411]) ).

thf(f44636,definition,
    ( spl0_528
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_528])],[avatar_definition]) ).

thf(f44637,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_528 ),
    inference(avatar_component_clause,[],[f44636]) ).

thf(f44639,plain,
    ( spl0_528
    | ~ spl0_192
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f44628,f9357,f9353,f44636]) ).

thf(f44766,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f44277,f27625]) ).

thf(f44770,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f44766]) ).

thf(f44781,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f44770,f19551]) ).

thf(f44782,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f44781,f9358]) ).

thf(f44783,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f44781,f35]) ).

thf(f44794,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f44782]) ).

thf(f44799,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f44783]) ).

thf(f44801,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f44794,f3414]) ).

thf(f44802,plain,
    ( ~ spl0_100
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(avatar_contradiction_clause,[],[f44801]) ).

thf(f44803,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_100
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f44799,f3414]) ).

thf(f44805,plain,
    ( $false
    | ~ spl0_100
    | spl0_223
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f44803,f28687]) ).

thf(f44806,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(avatar_contradiction_clause,[],[f44805]) ).

thf(f44817,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_513 ),
    inference(constrained_superposition,[],[f42647,f27628]) ).

thf(f44819,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_512 ),
    inference(constrained_superposition,[],[f42373,f27628]) ).

thf(f44824,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f27628]) ).

thf(f44844,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_512 ),
    inference(trivial_inequality_removal,[],[f44819]) ).

thf(f44850,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f44824]) ).

thf(f44861,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_513 ),
    inference(trivial_inequality_removal,[],[f44817]) ).

thf(f44869,plain,
    ( ~ spl0_468
    | ~ spl0_393
    | ~ spl0_362
    | ~ spl0_512 ),
    inference(avatar_split_clause,[],[f44844,f42372,f27627,f28663,f35753]) ).

thf(f44870,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(forward_subsumption_resolution,[],[f44850,f23348]) ).

thf(f44873,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_365
    | ~ spl0_513 ),
    inference(forward_subsumption_resolution,[],[f44861,f27640]) ).

thf(f44876,plain,
    ( spl0_516
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f44870,f33986,f27627,f23347,f42709]) ).

thf(f44877,plain,
    ( ~ spl0_393
    | ~ spl0_362
    | ~ spl0_365
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f44873,f42646,f27639,f27627,f28663]) ).

thf(f44967,definition,
    ( spl0_529
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_529])],[avatar_definition]) ).

thf(f44968,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_529 ),
    inference(avatar_component_clause,[],[f44967]) ).

thf(f44975,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_529 ),
    inference(constrained_superposition,[],[f44968,f27640]) ).

thf(f44986,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_529 ),
    inference(trivial_inequality_removal,[],[f44975]) ).

thf(f44990,plain,
    ( ~ spl0_439
    | ~ spl0_393
    | ~ spl0_365
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f44986,f44967,f27639,f28663,f32768]) ).

thf(f45051,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f3426,f24144]) ).

thf(f45076,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f45051]) ).

thf(f45108,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(constrained_superposition,[],[f31370,f27648]) ).

thf(f45126,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(trivial_inequality_removal,[],[f45108]) ).

thf(f45163,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_398 ),
    inference(constrained_superposition,[],[f28691,f349]) ).

thf(f45173,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_398 ),
    inference(trivial_inequality_removal,[],[f45163]) ).

thf(f45184,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_376 ),
    inference(constrained_superposition,[],[f27960,f60]) ).

thf(f45186,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_376 ),
    inference(trivial_inequality_removal,[],[f45184]) ).

thf(f45197,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_527 ),
    inference(constrained_superposition,[],[f43214,f2995]) ).

thf(f45200,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_527 ),
    inference(constrained_superposition,[],[f43214,f59]) ).

thf(f45207,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_527 ),
    inference(trivial_inequality_removal,[],[f45197]) ).

thf(f45210,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_527 ),
    inference(trivial_inequality_removal,[],[f45200]) ).

thf(f45308,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f27635]) ).

thf(f45319,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f45308]) ).

thf(f45326,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(forward_subsumption_resolution,[],[f45319,f24555]) ).

thf(f45334,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f45326,f2996]) ).

thf(f45335,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f45326,f349]) ).

thf(f45341,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f45335]) ).

thf(f45343,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f45334]) ).

thf(f45353,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f34272,f27628]) ).

thf(f45362,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f45353]) ).

thf(f45368,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(forward_subsumption_resolution,[],[f45362,f23348]) ).

thf(f45370,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f45368,f27628]) ).

thf(f45372,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f45368,f348]) ).

thf(f45379,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f45370]) ).

thf(f45385,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f45372]) ).

thf(f45412,definition,
    ( spl0_530
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_530])],[avatar_definition]) ).

thf(f45413,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_530 ),
    inference(avatar_component_clause,[],[f45412]) ).

thf(f45416,definition,
    ( spl0_531
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_531])],[avatar_definition]) ).

thf(f45417,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_531 ),
    inference(avatar_component_clause,[],[f45416]) ).

thf(f45443,plain,
    ( ~ spl0_196
    | ~ spl0_103
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f45076,f24143,f3425,f9373]) ).

thf(f45446,definition,
    ( spl0_532
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_532])],[avatar_definition]) ).

thf(f45447,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_532 ),
    inference(avatar_component_clause,[],[f45446]) ).

thf(f45450,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_195
    | ~ spl0_376 ),
    inference(forward_subsumption_resolution,[],[f45186,f28299]) ).

thf(f45454,definition,
    ( spl0_533
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_533])],[avatar_definition]) ).

thf(f45455,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_533 ),
    inference(avatar_component_clause,[],[f45454]) ).

thf(f45457,plain,
    ( ~ spl0_62
    | ~ spl0_443
    | spl0_195
    | ~ spl0_376 ),
    inference(avatar_split_clause,[],[f45450,f27959,f9369,f33721,f1025]) ).

thf(f45458,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_429
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f45341,f33476,f27634,f24554,f32342,f35753,f31348]) ).

thf(f45459,plain,
    ( spl0_274
    | ~ spl0_110
    | ~ spl0_469
    | ~ spl0_527 ),
    inference(avatar_split_clause,[],[f45207,f43213,f35792,f3663,f19550]) ).

thf(f45460,plain,
    ( ~ spl0_163
    | ~ spl0_110
    | spl0_274
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f44153,f41415,f19550,f3663,f5933]) ).

thf(f45474,plain,
    ( spl0_420
    | ~ spl0_439
    | ~ spl0_469
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f45343,f33476,f27634,f24554,f35792,f32768,f31355]) ).

thf(f45597,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_274
    | ~ spl0_465 ),
    inference(constrained_superposition,[],[f34836,f19551]) ).

thf(f45604,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f26,f19551]) ).

thf(f45610,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_465 ),
    inference(trivial_inequality_removal,[],[f45597]) ).

thf(f45614,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f45604]) ).

thf(f45627,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f27640]) ).

thf(f45629,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_505 ),
    inference(constrained_superposition,[],[f41416,f27640]) ).

thf(f45648,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f10220,f27640]) ).

thf(f45650,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f45648]) ).

thf(f45654,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_442 ),
    inference(duplicate_literal_removal,[],[f45627]) ).

thf(f45655,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f45654]) ).

thf(f45661,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_505 ),
    inference(trivial_inequality_removal,[],[f45629]) ).

thf(f45714,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_304 ),
    inference(constrained_superposition,[],[f42344,f61]) ).

thf(f45720,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_304 ),
    inference(trivial_inequality_removal,[],[f45714]) ).

thf(f45724,plain,
    ( spl0_303
    | spl0_247
    | spl0_304 ),
    inference(avatar_split_clause,[],[f45720,f23357,f14155,f23354]) ).

thf(f45737,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f43088,f23355]) ).

thf(f45740,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f10593,f23355]) ).

thf(f45741,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f26,f23355]) ).

thf(f45747,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f45737]) ).

thf(f45750,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f45741]) ).

thf(f45751,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f45740]) ).

thf(f45772,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f35]) ).

thf(f45788,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f45772]) ).

thf(f45816,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_532 ),
    inference(constrained_superposition,[],[f45447,f36]) ).

thf(f45821,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_532 ),
    inference(constrained_superposition,[],[f45447,f27640]) ).

thf(f45828,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_532 ),
    inference(trivial_inequality_removal,[],[f45816]) ).

thf(f45830,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_532 ),
    inference(trivial_inequality_removal,[],[f45821]) ).

thf(f45835,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_196
    | ~ spl0_532 ),
    inference(forward_subsumption_resolution,[],[f45828,f9374]) ).

thf(f45836,plain,
    ( ~ spl0_393
    | ~ spl0_436
    | ~ spl0_365
    | ~ spl0_532 ),
    inference(avatar_split_clause,[],[f45830,f45446,f27639,f32674,f28663]) ).

thf(f45837,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | spl0_196
    | ~ spl0_532 ),
    inference(forward_subsumption_resolution,[],[f45835,f238]) ).

thf(f45838,plain,
    ( ~ spl0_63
    | ~ spl0_4
    | spl0_196
    | ~ spl0_532 ),
    inference(avatar_split_clause,[],[f45837,f45446,f9373,f97,f1029]) ).

thf(f45845,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_367
    | ~ spl0_533 ),
    inference(constrained_superposition,[],[f45455,f27648]) ).

thf(f45846,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_533 ),
    inference(constrained_superposition,[],[f45455,f2995]) ).

thf(f45859,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_533 ),
    inference(trivial_inequality_removal,[],[f45845]) ).

thf(f45860,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_533 ),
    inference(trivial_inequality_removal,[],[f45846]) ).

thf(f46126,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f45750,f25499]) ).

thf(f46132,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f46126]) ).

thf(f46162,definition,
    ( spl0_535
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_535])],[avatar_definition]) ).

thf(f46163,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_535 ),
    inference(avatar_component_clause,[],[f46162]) ).

thf(f46174,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_535 ),
    inference(constrained_superposition,[],[f46163,f60]) ).

thf(f46182,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_535 ),
    inference(trivial_inequality_removal,[],[f46174]) ).

thf(f46185,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_535 ),
    inference(forward_subsumption_resolution,[],[f46182,f238]) ).

thf(f46186,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_200
    | ~ spl0_535 ),
    inference(forward_subsumption_resolution,[],[f46185,f30104]) ).

thf(f46187,plain,
    ( ~ spl0_145
    | ~ spl0_4
    | spl0_200
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f46186,f46162,f9396,f97,f4569]) ).

thf(f46212,definition,
    ( spl0_536
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_536])],[avatar_definition]) ).

thf(f46213,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_536 ),
    inference(avatar_component_clause,[],[f46212]) ).

thf(f46215,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_536 ),
    inference(constrained_superposition,[],[f46213,f27648]) ).

thf(f46227,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_536 ),
    inference(trivial_inequality_removal,[],[f46215]) ).

thf(f46231,plain,
    ( ~ spl0_393
    | ~ spl0_436
    | ~ spl0_367
    | ~ spl0_536 ),
    inference(avatar_split_clause,[],[f46227,f46212,f27647,f32674,f28663]) ).

thf(f46236,definition,
    ( spl0_537
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_537])],[avatar_definition]) ).

thf(f46237,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_537 ),
    inference(avatar_component_clause,[],[f46236]) ).

thf(f46239,plain,
    ( spl0_454
    | spl0_192
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38087,f27647,f9353,f33986]) ).

thf(f46242,plain,
    ( ~ spl0_381
    | ~ spl0_468
    | ~ spl0_367
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f45859,f45454,f27647,f35753,f27981]) ).

thf(f46244,plain,
    ( ~ spl0_381
    | ~ spl0_436
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f45126,f31369,f27647,f32674,f27981]) ).

thf(f46247,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_459 ),
    inference(forward_subsumption_resolution,[],[f45379,f27648]) ).

thf(f46249,plain,
    ( ~ spl0_429
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f45661,f41415,f27639,f24125,f32342]) ).

thf(f46250,plain,
    ( ~ spl0_63
    | ~ spl0_388
    | ~ spl0_323
    | ~ spl0_509 ),
    inference(avatar_split_clause,[],[f44566,f42352,f24554,f28279,f1029]) ).

thf(f46254,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_367
    | ~ spl0_509 ),
    inference(forward_subsumption_resolution,[],[f44571,f27648]) ).

thf(f46256,plain,
    ( ~ spl0_87
    | ~ spl0_274
    | ~ spl0_465 ),
    inference(avatar_split_clause,[],[f45610,f34835,f19550,f3341]) ).

thf(f46263,plain,
    ( ~ spl0_305
    | spl0_392
    | ~ spl0_32
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f45173,f28690,f490,f28658,f24125]) ).

thf(f46264,plain,
    ( ~ spl0_370
    | spl0_417
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f46132,f25483,f23354,f31242,f27739]) ).

thf(f46265,plain,
    ( ~ spl0_32
    | spl0_306
    | ~ spl0_305
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f45385,f34271,f27627,f23347,f24125,f24128,f490]) ).

thf(f46269,plain,
    ( ~ spl0_381
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f46247,f34271,f27647,f27627,f23347,f27981]) ).

thf(f46272,plain,
    ( ~ spl0_305
    | ~ spl0_301
    | ~ spl0_367
    | ~ spl0_509 ),
    inference(avatar_split_clause,[],[f46254,f42352,f27647,f23347,f24125]) ).

thf(f46275,definition,
    ( spl0_538
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_538])],[avatar_definition]) ).

thf(f46276,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_538 ),
    inference(avatar_component_clause,[],[f46275]) ).

thf(f46283,plain,
    ( spl0_348
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f45751,f23354,f166,f97,f76,f27739,f9373,f25491]) ).

thf(f46287,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_360
    | ~ spl0_522 ),
    inference(forward_subsumption_resolution,[],[f44587,f27594]) ).

thf(f46293,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_37
    | ~ spl0_493 ),
    inference(forward_subsumption_resolution,[],[f45788,f33771]) ).

thf(f46304,plain,
    ( ~ spl0_62
    | ~ spl0_443
    | spl0_383
    | ~ spl0_527 ),
    inference(avatar_split_clause,[],[f45210,f43213,f27996,f33721,f1025]) ).

thf(f46316,plain,
    ( ~ spl0_196
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f45747,f25483,f23354,f76,f27739,f9373]) ).

thf(f46320,plain,
    ( ~ spl0_223
    | ~ spl0_63
    | spl0_360
    | ~ spl0_522 ),
    inference(avatar_split_clause,[],[f46287,f42743,f27593,f1029,f11805]) ).

thf(f46321,plain,
    ( spl0_323
    | ~ spl0_37
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f46293,f40900,f521,f24554]) ).

thf(f46466,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_337 ),
    inference(constrained_superposition,[],[f2995,f25023]) ).

thf(f46532,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_303
    | ~ spl0_337 ),
    inference(constrained_superposition,[],[f23355,f25023]) ).

thf(f46538,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_337
    | spl0_360 ),
    inference(constrained_superposition,[],[f27594,f25023]) ).

thf(f46869,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_337 ),
    inference(forward_subsumption_resolution,[],[f46466,f30]) ).

thf(f46902,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_193
    | ~ spl0_337
    | spl0_360 ),
    inference(forward_subsumption_resolution,[],[f46538,f28188]) ).

thf(f46904,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_193
    | ~ spl0_303
    | ~ spl0_337 ),
    inference(forward_subsumption_resolution,[],[f46532,f28188]) ).

thf(f46910,definition,
    ( spl0_543
  <=> ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_543])],[avatar_definition]) ).

thf(f46911,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_543 ),
    inference(avatar_component_clause,[],[f46910]) ).

thf(f46927,plain,
    ( ! [X0: $i] :
        ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
        = $true )
    | ~ spl0_337 ),
    inference(forward_subsumption_resolution,[],[f46869,f29]) ).

thf(f46949,plain,
    ( $false
    | spl0_193
    | ~ spl0_196
    | ~ spl0_337
    | spl0_360 ),
    inference(forward_subsumption_resolution,[],[f46902,f9401]) ).

thf(f46950,plain,
    ( spl0_193
    | ~ spl0_196
    | ~ spl0_337
    | spl0_360 ),
    inference(avatar_contradiction_clause,[],[f46949]) ).

thf(f46952,plain,
    ( $false
    | spl0_193
    | ~ spl0_303
    | ~ spl0_337 ),
    inference(forward_subsumption_resolution,[],[f46904,f30]) ).

thf(f46953,plain,
    ( spl0_193
    | ~ spl0_303
    | ~ spl0_337 ),
    inference(avatar_contradiction_clause,[],[f46952]) ).

thf(f46964,plain,
    ( spl0_205
    | ~ spl0_337 ),
    inference(avatar_split_clause,[],[f46927,f25022,f9421]) ).

thf(f46966,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_527 ),
    inference(constrained_superposition,[],[f43214,f11806]) ).

thf(f46968,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f421,f11806]) ).

thf(f46977,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f9873,f11806]) ).

thf(f46984,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f46977]) ).

thf(f46985,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f46968]) ).

thf(f46986,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_527 ),
    inference(trivial_inequality_removal,[],[f46966]) ).

thf(f46994,plain,
    ( spl0_248
    | spl0_383
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f46984,f11805,f166,f97,f27996,f14270]) ).

thf(f46995,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_29
    | ~ spl0_223
    | spl0_377 ),
    inference(forward_subsumption_resolution,[],[f46985,f28298]) ).

thf(f46998,plain,
    ( spl0_389
    | ~ spl0_29
    | ~ spl0_223
    | spl0_377 ),
    inference(avatar_split_clause,[],[f46995,f27962,f11805,f420,f28287]) ).

thf(f47098,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_303
    | ~ spl0_319 ),
    inference(constrained_superposition,[],[f24320,f23355]) ).

thf(f47110,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_319 ),
    inference(trivial_inequality_removal,[],[f47098]) ).

thf(f47111,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f3426,f28671]) ).

thf(f47127,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f47111]) ).

thf(f47189,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_466 ),
    inference(constrained_superposition,[],[f34843,f23351]) ).

thf(f47205,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_466 ),
    inference(trivial_inequality_removal,[],[f47189]) ).

thf(f47216,plain,
    ( ~ spl0_360
    | ~ spl0_303
    | ~ spl0_319 ),
    inference(avatar_split_clause,[],[f47110,f24319,f23354,f27593]) ).

thf(f47218,plain,
    ( ~ spl0_192
    | ~ spl0_103
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f47127,f28670,f3425,f9353]) ).

thf(f47219,plain,
    ( ~ spl0_95
    | ~ spl0_163
    | spl0_273
    | ~ spl0_533 ),
    inference(avatar_split_clause,[],[f45860,f45454,f19531,f5933,f3370]) ).

thf(f47220,plain,
    ( ~ spl0_345
    | ~ spl0_63
    | ~ spl0_223
    | ~ spl0_527 ),
    inference(avatar_split_clause,[],[f46986,f43213,f11805,f1029,f25306]) ).

thf(f47221,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_466 ),
    inference(avatar_split_clause,[],[f47205,f34842,f23350,f9373]) ).

thf(f47233,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f288,f402]) ).

thf(f47243,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f47233]) ).

thf(f47296,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(constrained_superposition,[],[f44637,f28659]) ).

thf(f47307,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(trivial_inequality_removal,[],[f47296]) ).

thf(f47310,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_37
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[],[f47307,f33771]) ).

thf(f47311,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[],[f47310,f398]) ).

thf(f47312,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(avatar_contradiction_clause,[],[f47311]) ).

thf(f47384,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f47243,f24140]) ).

thf(f47390,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f47384]) ).

thf(f47396,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f552,f24140]) ).

thf(f47404,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_41
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f47396]) ).

thf(f47411,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_84
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f3331,f23348]) ).

thf(f47440,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_84
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f47411]) ).

thf(f47450,plain,
    ( spl0_513
    | spl0_273
    | ~ spl0_421
    | ~ spl0_84
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f47440,f23347,f3330,f31359,f19531,f42646]) ).

thf(f47456,definition,
    ( spl0_544
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_544])],[avatar_definition]) ).

thf(f47457,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_544 ),
    inference(avatar_component_clause,[],[f47456]) ).

thf(f47458,plain,
    ( spl0_544
    | ~ spl0_206
    | ~ spl0_365
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f45655,f33476,f27639,f9426,f47456]) ).

thf(f47460,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f47390,f24139,f401,f76,f9373,f27739]) ).

thf(f47464,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f38086,f28]) ).

thf(f47470,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(forward_subsumption_resolution,[],[f45650,f28]) ).

thf(f47472,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ ( s @ z ) @ ( s @ X0 ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_344 ),
    inference(forward_subsumption_resolution,[],[f43991,f552]) ).

thf(f47475,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f44459,f28]) ).

thf(f47476,plain,
    ( spl0_201
    | spl0_193
    | spl0_202
    | ~ spl0_11
    | spl0_368 ),
    inference(avatar_split_clause,[],[f40142,f27650,f166,f9407,f9357,f9404]) ).

thf(f47478,plain,
    ( ~ spl0_201
    | ~ spl0_200
    | ~ spl0_41
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f47404,f24139,f551,f9396,f9404]) ).

thf(f47483,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f47464,f28]) ).

thf(f47487,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(forward_subsumption_resolution,[],[f47470,f28]) ).

thf(f47488,plain,
    ( spl0_201
    | spl0_500
    | ~ spl0_11
    | ~ spl0_41
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f47472,f25297,f551,f166,f40954,f9404]) ).

thf(f47489,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f47475,f402]) ).

thf(f47491,plain,
    ( spl0_193
    | spl0_201
    | ~ spl0_11
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f47483,f27647,f166,f9404,f9357]) ).

thf(f47493,plain,
    ( spl0_193
    | spl0_201
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f47487,f27639,f166,f9404,f9357]) ).

thf(f47494,plain,
    ( spl0_201
    | spl0_47
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f47489,f24139,f401,f166,f97,f742,f9404]) ).

thf(f47504,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f9873,f9427]) ).

thf(f47514,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f47504]) ).

thf(f47518,plain,
    ( spl0_370
    | spl0_243
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f47514,f9426,f166,f97,f13446,f27739]) ).

thf(f47640,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f10657,f19532]) ).

thf(f47648,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f47640]) ).

thf(f47765,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f45750,f31356]) ).

thf(f47778,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f47765]) ).

thf(f47780,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f47778,f19532]) ).

thf(f47781,plain,
    ( spl0_495
    | ~ spl0_273
    | ~ spl0_303
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f47780,f31355,f23354,f19531,f40918]) ).

thf(f47860,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f27625]) ).

thf(f47870,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f47860]) ).

thf(f47878,plain,
    ( $false
    | ~ spl0_195
    | ~ spl0_361
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f47870,f9370]) ).

thf(f47879,plain,
    ( ~ spl0_195
    | ~ spl0_361
    | ~ spl0_417 ),
    inference(avatar_contradiction_clause,[],[f47878]) ).

thf(f47886,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_326
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f24718,f27632]) ).

thf(f47895,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_326
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f47886]) ).

thf(f47908,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_477 ),
    inference(constrained_superposition,[],[f38581,f19551]) ).

thf(f47918,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_274
    | ~ spl0_477 ),
    inference(trivial_inequality_removal,[],[f47908]) ).

thf(f47920,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_524 ),
    inference(constrained_superposition,[],[f42758,f27648]) ).

thf(f47936,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_524 ),
    inference(trivial_inequality_removal,[],[f47920]) ).

thf(f47954,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_365
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f27640]) ).

thf(f47968,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f47954]) ).

thf(f47970,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_365
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[],[f47968,f9427]) ).

thf(f47971,plain,
    ( ~ spl0_345
    | ~ spl0_206
    | ~ spl0_365
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f47970,f28292,f27639,f9426,f25306]) ).

thf(f48005,plain,
    ( ~ spl0_366
    | ~ spl0_195
    | ~ spl0_326
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f47895,f27631,f24717,f9369,f27642]) ).

thf(f48006,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_477 ),
    inference(forward_subsumption_resolution,[],[f47918,f9358]) ).

thf(f48007,plain,
    ( ~ spl0_392
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_477 ),
    inference(avatar_split_clause,[],[f48006,f38580,f19550,f9357,f28658]) ).

thf(f48057,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_366
    | ~ spl0_487 ),
    inference(constrained_superposition,[],[f40628,f27643]) ).

thf(f48058,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_366
    | ~ spl0_488 ),
    inference(constrained_superposition,[],[f40737,f27643]) ).

thf(f48065,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_487 ),
    inference(trivial_inequality_removal,[],[f48057]) ).

thf(f48071,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_366
    | ~ spl0_488 ),
    inference(trivial_inequality_removal,[],[f48058]) ).

thf(f48077,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_487 ),
    inference(forward_subsumption_resolution,[],[f48065,f9358]) ).

thf(f48078,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_488 ),
    inference(forward_subsumption_resolution,[],[f48071,f9358]) ).

thf(f48080,plain,
    ( $false
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_392
    | ~ spl0_487 ),
    inference(forward_subsumption_resolution,[],[f48077,f28659]) ).

thf(f48081,plain,
    ( ~ spl0_193
    | ~ spl0_366
    | ~ spl0_392
    | ~ spl0_487 ),
    inference(avatar_contradiction_clause,[],[f48080]) ).

thf(f48082,plain,
    ( ~ spl0_395
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_488 ),
    inference(avatar_split_clause,[],[f48078,f40736,f27642,f9357,f28670]) ).

thf(f48130,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f47648,f27740]) ).

thf(f48138,plain,
    ( ~ spl0_200
    | spl0_100
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f48130,f27739,f19531,f166,f97,f3413,f9396]) ).

thf(f48140,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f421,f3555]) ).

thf(f48141,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f6902,f3555]) ).

thf(f48152,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_42
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f48141]) ).

thf(f48156,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_29
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f48140]) ).

thf(f48162,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_42
    | spl0_83
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f48152,f38819]) ).

thf(f48163,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_29
    | spl0_83
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f48156,f38819]) ).

thf(f48167,plain,
    ( spl0_121
    | ~ spl0_42
    | spl0_83
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f48162,f3385,f3327,f693,f3930]) ).

thf(f48168,plain,
    ( spl0_119
    | ~ spl0_29
    | spl0_83
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f48163,f3385,f3327,f420,f3919]) ).

thf(f48174,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f288,f3342]) ).

thf(f48180,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f48174]) ).

thf(f48185,plain,
    ( spl0_543
    | ~ spl0_1
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f48180,f3341,f76,f46910]) ).

thf(f48358,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f53,f27640]) ).

thf(f48361,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f31,f27640]) ).

thf(f48366,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f48358]) ).

thf(f48370,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f48361]) ).

thf(f48408,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f26,f24590]) ).

thf(f48415,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f48408]) ).

thf(f48450,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_543 ),
    inference(constrained_superposition,[],[f46911,f19532]) ).

thf(f48461,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_543 ),
    inference(trivial_inequality_removal,[],[f48450]) ).

thf(f48507,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_495 ),
    inference(constrained_superposition,[],[f40919,f27625]) ).

thf(f48517,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_361
    | ~ spl0_495 ),
    inference(trivial_inequality_removal,[],[f48507]) ).

thf(f48523,plain,
    ( ~ spl0_395
    | ~ spl0_361
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f48517,f40918,f27624,f28670]) ).

thf(f48527,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_83
    | ~ spl0_500 ),
    inference(constrained_superposition,[],[f40955,f3328]) ).

thf(f48541,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_83
    | ~ spl0_500 ),
    inference(trivial_inequality_removal,[],[f48527]) ).

thf(f48545,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_500 ),
    inference(forward_subsumption_resolution,[],[f48541,f3342]) ).

thf(f48546,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_87
    | spl0_102
    | ~ spl0_500 ),
    inference(forward_subsumption_resolution,[],[f48545,f18752]) ).

thf(f48547,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | spl0_102
    | ~ spl0_500 ),
    inference(avatar_contradiction_clause,[],[f48546]) ).

thf(f48633,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_414 ),
    inference(constrained_superposition,[],[f31114,f27640]) ).

thf(f48645,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_414 ),
    inference(trivial_inequality_removal,[],[f48633]) ).

thf(f48994,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f10583,f24129]) ).

thf(f49001,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f26,f24129]) ).

thf(f49006,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f49001]) ).

thf(f49011,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f48994]) ).

thf(f49022,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_524 ),
    inference(constrained_superposition,[],[f42758,f23358]) ).

thf(f49055,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_524 ),
    inference(trivial_inequality_removal,[],[f49022]) ).

thf(f49097,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f48,f27628]) ).

thf(f49108,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f49097]) ).

thf(f49122,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f27635]) ).

thf(f49147,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f49122]) ).

thf(f49291,plain,
    ( ~ spl0_313
    | ~ spl0_443
    | ~ spl0_365
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f48645,f31113,f27639,f33721,f24153]) ).

thf(f49313,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f45614,f27997]) ).

thf(f49319,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f26,f27997]) ).

thf(f49320,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f49319]) ).

thf(f49326,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f49313]) ).

thf(f49558,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_311 ),
    inference(constrained_superposition,[],[f24147,f23348]) ).

thf(f49573,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_311 ),
    inference(trivial_inequality_removal,[],[f49558]) ).

thf(f49586,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_522 ),
    inference(constrained_superposition,[],[f42744,f60]) ).

thf(f49590,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_522 ),
    inference(trivial_inequality_removal,[],[f49586]) ).

thf(f49622,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f49006,f27744]) ).

thf(f49624,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f49006,f10178]) ).

thf(f49633,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f49622]) ).

thf(f49638,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f49624]) ).

thf(f49760,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f48415,f27744]) ).

thf(f49776,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f49760]) ).

thf(f49781,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f36]) ).

thf(f49787,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f2996]) ).

thf(f49788,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f349]) ).

thf(f49789,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_454 ),
    inference(constrained_superposition,[],[f33987,f60]) ).

thf(f49794,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f49789]) ).

thf(f49796,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f49788]) ).

thf(f49799,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f49781]) ).

thf(f49800,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_454 ),
    inference(trivial_inequality_removal,[],[f49787]) ).

thf(f49807,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_364
    | ~ spl0_479 ),
    inference(constrained_superposition,[],[f39264,f27635]) ).

thf(f49819,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_479 ),
    inference(trivial_inequality_removal,[],[f49807]) ).

thf(f49822,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(forward_subsumption_resolution,[],[f49819,f27640]) ).

thf(f49824,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(constrained_superposition,[],[f49822,f27635]) ).

thf(f49833,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(trivial_inequality_removal,[],[f49824]) ).

thf(f49842,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f28656,f36]) ).

thf(f49847,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f28656,f27628]) ).

thf(f49854,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f49842]) ).

thf(f49859,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f49847]) ).

thf(f49862,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_391 ),
    inference(forward_subsumption_resolution,[],[f49859,f23348]) ).

thf(f49956,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f49862,f27628]) ).

thf(f49972,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f49956]) ).

thf(f49973,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_391 ),
    inference(forward_subsumption_resolution,[],[f49972,f27648]) ).

thf(f49974,plain,
    ( ~ spl0_393
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_391 ),
    inference(avatar_split_clause,[],[f49973,f28655,f27647,f27627,f23347,f28663]) ).

thf(f49978,plain,
    ( ~ spl0_62
    | spl0_346
    | ~ spl0_381
    | ~ spl0_522 ),
    inference(avatar_split_clause,[],[f49590,f42743,f27981,f25483,f1025]) ).

thf(f49980,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(forward_subsumption_resolution,[],[f49833,f23358]) ).

thf(f49985,plain,
    ( ~ spl0_428
    | ~ spl0_323
    | ~ spl0_304
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f49055,f42757,f23357,f24554,f31927]) ).

thf(f49988,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_543 ),
    inference(avatar_split_clause,[],[f48461,f46910,f19531,f9373,f27739]) ).

thf(f49996,definition,
    ( spl0_548
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_548])],[avatar_definition]) ).

thf(f49997,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_548 ),
    inference(avatar_component_clause,[],[f49996]) ).

thf(f49998,plain,
    ( spl0_548
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f49147,f33476,f27634,f24554,f49996]) ).

thf(f50000,definition,
    ( spl0_549
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_549])],[avatar_definition]) ).

thf(f50001,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_549 ),
    inference(avatar_component_clause,[],[f50000]) ).

thf(f50005,plain,
    ( ~ spl0_323
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f49980,f39263,f27639,f27634,f23357,f24554]) ).

thf(f50015,plain,
    ( spl0_322
    | spl0_348
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f49011,f24128,f166,f97,f25491,f24540]) ).

thf(f50041,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f50045,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f50041]) ).

thf(f50105,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_7
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f621,f24555]) ).

thf(f50112,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_7
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f50105]) ).

thf(f50127,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_225
    | spl0_348 ),
    inference(constrained_superposition,[],[f30945,f12212]) ).

thf(f50131,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_225
    | spl0_348 ),
    inference(trivial_inequality_removal,[],[f50127]) ).

thf(f50133,plain,
    ( spl0_249
    | ~ spl0_225
    | spl0_348 ),
    inference(avatar_split_clause,[],[f50131,f25491,f12211,f14273]) ).

thf(f50147,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f26,f27963]) ).

thf(f50155,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f50147]) ).

thf(f50166,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_428 ),
    inference(constrained_superposition,[],[f31928,f60]) ).

thf(f50170,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_428 ),
    inference(trivial_inequality_removal,[],[f50166]) ).

thf(f50173,plain,
    ( spl0_346
    | spl0_428 ),
    inference(avatar_split_clause,[],[f50170,f31927,f25483]) ).

thf(f50184,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f26,f25499]) ).

thf(f50192,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f50184]) ).

thf(f50261,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_197
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f9379,f27632]) ).

thf(f50282,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_197
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f50261]) ).

thf(f50285,plain,
    ( spl0_433
    | ~ spl0_197
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f50282,f27631,f9378,f32479]) ).

thf(f50417,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_532 ),
    inference(constrained_superposition,[],[f45447,f2996]) ).

thf(f50420,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_532 ),
    inference(trivial_inequality_removal,[],[f50417]) ).

thf(f50430,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_310
    | ~ spl0_532 ),
    inference(forward_subsumption_resolution,[],[f50420,f34435]) ).

thf(f50431,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_310
    | ~ spl0_532 ),
    inference(avatar_split_clause,[],[f50430,f45446,f24143,f4569,f3663]) ).

thf(f50491,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_506 ),
    inference(constrained_superposition,[],[f41420,f59]) ).

thf(f50496,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_506 ),
    inference(trivial_inequality_removal,[],[f50491]) ).

thf(f50532,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_529 ),
    inference(constrained_superposition,[],[f44968,f60]) ).

thf(f50533,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_529 ),
    inference(trivial_inequality_removal,[],[f50532]) ).

thf(f50543,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_200
    | ~ spl0_529 ),
    inference(forward_subsumption_resolution,[],[f50533,f30104]) ).

thf(f50544,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_200
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f50543,f44967,f9396,f3370,f1025]) ).

thf(f50550,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_549 ),
    inference(constrained_superposition,[],[f50001,f59]) ).

thf(f50559,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_549 ),
    inference(trivial_inequality_removal,[],[f50550]) ).

thf(f50667,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f50045,f9405]) ).

thf(f50683,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_196
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f50667]) ).

thf(f50690,definition,
    ( spl0_552
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_552])],[avatar_definition]) ).

thf(f50691,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_552 ),
    inference(avatar_component_clause,[],[f50690]) ).

thf(f50693,plain,
    ( spl0_552
    | ~ spl0_196
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f50683,f9404,f9373,f50690]) ).

thf(f50745,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f50155,f27997]) ).

thf(f50750,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f50155,f27632]) ).

thf(f50758,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f50750]) ).

thf(f50759,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f50745]) ).

thf(f50765,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f50758,f24129]) ).

thf(f50767,plain,
    ( spl0_493
    | ~ spl0_306
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f50765,f27962,f27631,f24128,f40900]) ).

thf(f50864,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f34272,f36]) ).

thf(f50878,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f50864]) ).

thf(f50905,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_440 ),
    inference(constrained_superposition,[],[f32935,f27640]) ).

thf(f50913,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_440 ),
    inference(duplicate_literal_removal,[],[f50905]) ).

thf(f50914,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_440 ),
    inference(trivial_inequality_removal,[],[f50913]) ).

thf(f50967,definition,
    ( spl0_553
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_553])],[avatar_definition]) ).

thf(f50968,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_553 ),
    inference(avatar_component_clause,[],[f50967]) ).

thf(f50971,definition,
    ( spl0_554
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_554])],[avatar_definition]) ).

thf(f50972,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_554 ),
    inference(avatar_component_clause,[],[f50971]) ).

thf(f50975,definition,
    ( spl0_555
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_555])],[avatar_definition]) ).

thf(f50976,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_555 ),
    inference(avatar_component_clause,[],[f50975]) ).

thf(f51022,definition,
    ( spl0_556
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_556])],[avatar_definition]) ).

thf(f51023,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_556 ),
    inference(avatar_component_clause,[],[f51022]) ).

thf(f51026,definition,
    ( spl0_557
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_557])],[avatar_definition]) ).

thf(f51027,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_557 ),
    inference(avatar_component_clause,[],[f51026]) ).

thf(f51029,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_557 ),
    inference(constrained_superposition,[],[f51027,f27648]) ).

thf(f51039,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_557 ),
    inference(trivial_inequality_removal,[],[f51029]) ).

thf(f51072,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_394 ),
    inference(constrained_superposition,[],[f28668,f59]) ).

thf(f51076,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_394 ),
    inference(trivial_inequality_removal,[],[f51072]) ).

thf(f51107,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_478 ),
    inference(constrained_superposition,[],[f39258,f36]) ).

thf(f51123,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_478 ),
    inference(trivial_inequality_removal,[],[f51107]) ).

thf(f51125,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | spl0_360
    | ~ spl0_478 ),
    inference(forward_subsumption_resolution,[],[f51123,f27594]) ).

thf(f51126,plain,
    ( spl0_390
    | ~ spl0_388
    | spl0_360
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f51125,f39257,f27593,f28279,f28292]) ).

thf(f51148,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f2995]) ).

thf(f51151,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f59]) ).

thf(f51156,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f51151]) ).

thf(f51159,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f51148]) ).

thf(f51186,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f48370,f36]) ).

thf(f51190,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f48370,f27648]) ).

thf(f51192,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f48370,f2996]) ).

thf(f51193,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f48370,f349]) ).

thf(f51195,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f51186]) ).

thf(f51199,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(duplicate_literal_removal,[],[f51190]) ).

thf(f51200,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f51199]) ).

thf(f51202,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f51192]) ).

thf(f51205,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f51193]) ).

thf(f51207,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_365
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f51205,f39829]) ).

thf(f51209,plain,
    ( spl0_501
    | ~ spl0_365
    | spl0_392 ),
    inference(avatar_split_clause,[],[f51207,f28658,f27639,f41384]) ).

thf(f51211,plain,
    ( ~ spl0_469
    | ~ spl0_396
    | ~ spl0_301
    | ~ spl0_311 ),
    inference(avatar_split_clause,[],[f49573,f24146,f23347,f28673,f35792]) ).

thf(f51212,plain,
    ( spl0_192
    | spl0_340
    | ~ spl0_345
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f49799,f33986,f25306,f25094,f9353]) ).

thf(f51213,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f49776,f27743,f24589,f4015,f3341]) ).

thf(f51214,plain,
    ( spl0_47
    | ~ spl0_24
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f50759,f27996,f27962,f401,f742]) ).

thf(f51216,plain,
    ( spl0_192
    | ~ spl0_345
    | spl0_537
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f50878,f34271,f46236,f25306,f9353]) ).

thf(f51217,plain,
    ( spl0_453
    | spl0_192
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f49108,f27627,f9353,f33981]) ).

thf(f51227,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f49633,f27743,f24128,f742,f401]) ).

thf(f51229,definition,
    ( spl0_558
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_558])],[avatar_definition]) ).

thf(f51230,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_558 ),
    inference(avatar_component_clause,[],[f51229]) ).

thf(f51232,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | spl0_370
    | ~ spl0_394 ),
    inference(avatar_split_clause,[],[f51076,f28667,f27739,f4569,f3370]) ).

thf(f51233,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f49638,f30945]) ).

thf(f51234,plain,
    ( ~ spl0_32
    | spl0_370
    | ~ spl0_62
    | ~ spl0_506 ),
    inference(avatar_split_clause,[],[f50496,f41419,f1025,f27739,f490]) ).

thf(f51236,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f49326,f27996,f19550,f4015,f3341]) ).

thf(f51239,definition,
    ( spl0_559
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_559])],[avatar_definition]) ).

thf(f51240,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_559 ),
    inference(avatar_component_clause,[],[f51239]) ).

thf(f51242,plain,
    ( spl0_544
    | ~ spl0_313
    | ~ spl0_365
    | ~ spl0_440 ),
    inference(avatar_split_clause,[],[f50914,f32934,f27639,f24153,f47456]) ).

thf(f51243,plain,
    ( ~ spl0_95
    | ~ spl0_62
    | spl0_370
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f50559,f50000,f27739,f1025,f3370]) ).

thf(f51250,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306
    | spl0_348 ),
    inference(forward_subsumption_resolution,[],[f51233,f28]) ).

thf(f51254,plain,
    ( spl0_47
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306
    | spl0_348 ),
    inference(avatar_split_clause,[],[f51250,f25491,f24128,f166,f97,f401,f742]) ).

thf(f51258,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f288,f402]) ).

thf(f51268,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f51258]) ).

thf(f51487,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f51268,f27963]) ).

thf(f51498,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f51487]) ).

thf(f51500,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f51498,f29197]) ).

thf(f51501,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f51500,f27997]) ).

thf(f51502,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(avatar_contradiction_clause,[],[f51501]) ).

thf(f51504,plain,
    ( spl0_395
    | spl0_411
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f51202,f27639,f30483,f28670]) ).

thf(f51511,plain,
    ( spl0_392
    | spl0_501
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f51205,f27639,f41384,f28658]) ).

thf(f51513,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_486 ),
    inference(forward_subsumption_resolution,[],[f51156,f238]) ).

thf(f51515,definition,
    ( spl0_560
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_560])],[avatar_definition]) ).

thf(f51516,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_560 ),
    inference(avatar_component_clause,[],[f51515]) ).

thf(f51517,plain,
    ( spl0_192
    | spl0_560
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f51195,f27639,f51515,f9353]) ).

thf(f51519,plain,
    ( spl0_482
    | spl0_392
    | ~ spl0_429
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f49796,f33986,f32342,f28658,f39532]) ).

thf(f51522,plain,
    ( spl0_395
    | ~ spl0_469
    | spl0_481
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f49800,f33986,f39526,f35792,f28670]) ).

thf(f51523,plain,
    ( ~ spl0_436
    | ~ spl0_223
    | ~ spl0_367
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f47936,f42757,f27647,f11805,f32674]) ).

thf(f51527,plain,
    ( ~ spl0_436
    | ~ spl0_372
    | ~ spl0_367
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f51039,f51026,f27647,f27943,f32674]) ).

thf(f51528,plain,
    ( spl0_196
    | ~ spl0_223
    | spl0_390
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f48366,f27639,f28292,f11805,f9373]) ).

thf(f51532,definition,
    ( spl0_561
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_561])],[avatar_definition]) ).

thf(f51533,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_561 ),
    inference(avatar_component_clause,[],[f51532]) ).

thf(f51534,plain,
    ( spl0_371
    | spl0_561
    | ~ spl0_4
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f51513,f40004,f97,f51532,f27743]) ).

thf(f51540,definition,
    ( spl0_562
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_562])],[avatar_definition]) ).

thf(f51541,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_562 ),
    inference(avatar_component_clause,[],[f51540]) ).

thf(f51545,plain,
    ( spl0_195
    | ~ spl0_443
    | spl0_524
    | ~ spl0_454 ),
    inference(avatar_split_clause,[],[f49794,f33986,f42757,f33721,f9369]) ).

thf(f51569,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_380 ),
    inference(constrained_superposition,[],[f27978,f11806]) ).

thf(f51576,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f31,f11806]) ).

thf(f51577,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f51576]) ).

thf(f51580,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_380 ),
    inference(trivial_inequality_removal,[],[f51569]) ).

thf(f51585,plain,
    ( ~ spl0_63
    | spl0_562
    | ~ spl0_223
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f51580,f27977,f11805,f51540,f1029]) ).

thf(f51723,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f43053,f23355]) ).

thf(f51738,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f51723]) ).

thf(f51762,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_363
    | ~ spl0_401 ),
    inference(constrained_superposition,[],[f29119,f27632]) ).

thf(f51779,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_363
    | ~ spl0_401 ),
    inference(trivial_inequality_removal,[],[f51762]) ).

thf(f51792,plain,
    ( ~ spl0_418
    | ~ spl0_363
    | ~ spl0_401 ),
    inference(avatar_split_clause,[],[f51779,f29118,f27631,f31348]) ).

thf(f51812,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_544 ),
    inference(constrained_superposition,[],[f47457,f36]) ).

thf(f51818,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_544 ),
    inference(constrained_superposition,[],[f47457,f349]) ).

thf(f51821,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_544 ),
    inference(trivial_inequality_removal,[],[f51818]) ).

thf(f51828,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_544 ),
    inference(trivial_inequality_removal,[],[f51812]) ).

thf(f51847,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_484 ),
    inference(constrained_superposition,[],[f39826,f23351]) ).

thf(f51849,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_484 ),
    inference(trivial_inequality_removal,[],[f51847]) ).

thf(f51857,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_553 ),
    inference(constrained_superposition,[],[f50968,f27648]) ).

thf(f51869,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_553 ),
    inference(trivial_inequality_removal,[],[f51857]) ).

thf(f51877,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f51200,f349]) ).

thf(f51878,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f51200,f60]) ).

thf(f51880,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f51877]) ).

thf(f51882,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f51878]) ).

thf(f51888,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | spl0_315
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f51880,f39586]) ).

thf(f51889,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | spl0_200
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f51882,f30104]) ).

thf(f51891,plain,
    ( spl0_399
    | spl0_315
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f51888,f27647,f27639,f24160,f28964]) ).

thf(f51898,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | spl0_200
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f51889,f2996]) ).

thf(f51899,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_200
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f51889,f349]) ).

thf(f51902,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_200
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f51898]) ).

thf(f51907,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_200
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f51899]) ).

thf(f51910,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_200
    | spl0_310
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f51902,f34435]) ).

thf(f51911,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | spl0_200
    | spl0_315
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f51907,f39586]) ).

thf(f51912,plain,
    ( ~ spl0_95
    | spl0_200
    | spl0_310
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f51910,f27647,f27639,f24143,f9396,f3370]) ).

thf(f51913,plain,
    ( ~ spl0_32
    | spl0_200
    | spl0_315
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f51911,f27647,f27639,f24160,f9396,f490]) ).

thf(f51914,plain,
    ( ~ spl0_366
    | ~ spl0_302
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f51849,f39825,f23350,f27642]) ).

thf(f51915,plain,
    ( ~ spl0_396
    | ~ spl0_206
    | ~ spl0_367
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f51869,f50967,f27647,f9426,f28673]) ).

thf(f51918,plain,
    ( spl0_192
    | spl0_340
    | ~ spl0_206
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38079,f27647,f9426,f25094,f9353]) ).

thf(f51919,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f51828,f47456,f25306,f9353]) ).

thf(f51920,plain,
    ( ~ spl0_306
    | spl0_493
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f51738,f24139,f23354,f40900,f24128]) ).

thf(f51922,plain,
    ( ~ spl0_429
    | spl0_392
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f51821,f47456,f28658,f32342]) ).

thf(f51923,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f51924,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f51923]) ).

thf(f51970,plain,
    ( $false
    | ~ spl0_66
    | spl0_196 ),
    inference(forward_subsumption_resolution,[],[f9374,f1218]) ).

thf(f51971,plain,
    ( ~ spl0_66
    | spl0_196 ),
    inference(avatar_contradiction_clause,[],[f51970]) ).

thf(f51973,definition,
    ( spl0_563
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_563])],[avatar_definition]) ).

thf(f51974,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_563 ),
    inference(avatar_component_clause,[],[f51973]) ).

thf(f51975,plain,
    ( spl0_563
    | spl0_192
    | ~ spl0_345
    | ~ spl0_391 ),
    inference(avatar_split_clause,[],[f49854,f28655,f25306,f9353,f51973]) ).

thf(f51978,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f621,f9427]) ).

thf(f51985,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_7
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f51978]) ).

thf(f51988,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_250 ),
    inference(constrained_superposition,[],[f14277,f29197]) ).

thf(f51993,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f26,f29197]) ).

thf(f51994,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f51993]) ).

thf(f51999,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_250 ),
    inference(trivial_inequality_removal,[],[f51988]) ).

thf(f52025,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(constrained_superposition,[],[f50691,f24161]) ).

thf(f52032,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(trivial_inequality_removal,[],[f52025]) ).

thf(f52035,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_23
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(forward_subsumption_resolution,[],[f52032,f398]) ).

thf(f52036,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(forward_subsumption_resolution,[],[f52035,f33771]) ).

thf(f52037,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(avatar_contradiction_clause,[],[f52036]) ).

thf(f52072,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_487 ),
    inference(constrained_superposition,[],[f40628,f24144]) ).

thf(f52079,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_310
    | ~ spl0_487 ),
    inference(trivial_inequality_removal,[],[f52072]) ).

thf(f52142,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_399 ),
    inference(constrained_superposition,[],[f28965,f60]) ).

thf(f52149,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_399 ),
    inference(trivial_inequality_removal,[],[f52142]) ).

thf(f52151,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_200
    | ~ spl0_399 ),
    inference(forward_subsumption_resolution,[],[f52149,f30104]) ).

thf(f52152,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f52151,f28964,f9396,f1025]) ).

thf(f52163,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_480 ),
    inference(constrained_superposition,[],[f39392,f19532]) ).

thf(f52169,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_480 ),
    inference(trivial_inequality_removal,[],[f52163]) ).

thf(f52190,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f27628]) ).

thf(f52192,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_544 ),
    inference(constrained_superposition,[],[f47457,f27628]) ).

thf(f52193,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(constrained_superposition,[],[f28683,f27628]) ).

thf(f52213,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f52190]) ).

thf(f52220,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(trivial_inequality_removal,[],[f52193]) ).

thf(f52226,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_544 ),
    inference(trivial_inequality_removal,[],[f52192]) ).

thf(f52238,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_84
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f3331,f27635]) ).

thf(f52248,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f73,f27635]) ).

thf(f52268,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_84
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f52238]) ).

thf(f52269,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f52248]) ).

thf(f52278,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f23351]) ).

thf(f52279,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f52278]) ).

thf(f52283,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_315
    | ~ spl0_493 ),
    inference(forward_subsumption_resolution,[],[f52279,f24161]) ).

thf(f52284,plain,
    ( ~ spl0_302
    | ~ spl0_315
    | ~ spl0_493 ),
    inference(avatar_contradiction_clause,[],[f52283]) ).

thf(f52327,definition,
    ( spl0_564
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_564])],[avatar_definition]) ).

thf(f52328,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_564 ),
    inference(avatar_component_clause,[],[f52327]) ).

thf(f52332,definition,
    ( spl0_565
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_565])],[avatar_definition]) ).

thf(f52333,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_565 ),
    inference(avatar_component_clause,[],[f52332]) ).

thf(f52358,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_495 ),
    inference(constrained_superposition,[],[f40919,f23351]) ).

thf(f52362,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_495 ),
    inference(trivial_inequality_removal,[],[f52358]) ).

thf(f52364,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_310
    | ~ spl0_495 ),
    inference(forward_subsumption_resolution,[],[f52362,f24144]) ).

thf(f52365,plain,
    ( ~ spl0_302
    | ~ spl0_310
    | ~ spl0_495 ),
    inference(avatar_contradiction_clause,[],[f52364]) ).

thf(f52373,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_389 ),
    inference(constrained_superposition,[],[f28288,f2996]) ).

thf(f52375,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_389 ),
    inference(constrained_superposition,[],[f28288,f60]) ).

thf(f52383,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_389 ),
    inference(trivial_inequality_removal,[],[f52373]) ).

thf(f52385,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_389 ),
    inference(trivial_inequality_removal,[],[f52375]) ).

thf(f52388,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f51924,f24161]) ).

thf(f52391,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f52388]) ).

thf(f52392,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_302
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f52391,f23351]) ).

thf(f52393,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_315
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f52391,f27643]) ).

thf(f52397,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_302
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f52392]) ).

thf(f52398,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_315
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f52393]) ).

thf(f52400,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f52397,f24129]) ).

thf(f52401,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_315
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f52398,f29197]) ).

thf(f52402,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f52400,f39259]) ).

thf(f52403,plain,
    ( ~ spl0_23
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315
    | ~ spl0_360 ),
    inference(avatar_contradiction_clause,[],[f52402]) ).

thf(f52404,plain,
    ( ~ spl0_377
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_315
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f52401,f27642,f24160,f9353,f397,f27962]) ).

thf(f52407,definition,
    ( spl0_566
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_566])],[avatar_definition]) ).

thf(f52408,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_566 ),
    inference(avatar_component_clause,[],[f52407]) ).

thf(f52409,plain,
    ( spl0_566
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f52220,f28682,f27627,f23347,f52407]) ).

thf(f52411,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f52226,f47456,f27627,f23347]) ).

thf(f52414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_362
    | ~ spl0_486 ),
    inference(forward_subsumption_resolution,[],[f52213,f11806]) ).

thf(f52415,plain,
    ( spl0_548
    | ~ spl0_223
    | ~ spl0_362
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f52414,f40004,f27627,f11805,f49996]) ).

thf(f52437,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_276
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f19560,f28659]) ).

thf(f52439,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_219
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f11284,f28659]) ).

thf(f52444,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_219
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f52439]) ).

thf(f52446,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_276
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f52437]) ).

thf(f52464,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f23348]) ).

thf(f52475,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f263,f23348]) ).

thf(f52482,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f52475]) ).

thf(f52494,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(duplicate_literal_removal,[],[f52464]) ).

thf(f52495,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f52494]) ).

thf(f52501,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(forward_subsumption_resolution,[],[f52495,f9427]) ).

thf(f52508,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_389 ),
    inference(forward_subsumption_resolution,[],[f52385,f238]) ).

thf(f52509,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_37
    | ~ spl0_219
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f52444,f33771]) ).

thf(f52510,plain,
    ( ~ spl0_86
    | ~ spl0_24
    | ~ spl0_276
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f52446,f28658,f19559,f401,f3337]) ).

thf(f52512,plain,
    ( spl0_522
    | spl0_324
    | ~ spl0_393
    | ~ spl0_84
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f52268,f27634,f3330,f28663,f24589,f42743]) ).

thf(f52514,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_395
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f52383,f28287,f28670,f3663,f3385]) ).

thf(f52515,plain,
    ( ~ spl0_86
    | ~ spl0_100
    | ~ spl0_310
    | ~ spl0_487 ),
    inference(avatar_split_clause,[],[f52079,f40627,f24143,f3413,f3337]) ).

thf(f52525,plain,
    ( ~ spl0_99
    | spl0_415
    | spl0_324
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f51159,f40004,f24589,f31209,f3385]) ).

thf(f52527,plain,
    ( spl0_195
    | ~ spl0_62
    | ~ spl0_4
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f52508,f28287,f97,f1025,f9369]) ).

thf(f52528,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_219
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f52509,f28658,f11283,f521,f401]) ).

thf(f52547,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_7
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f621,f3555]) ).

thf(f52553,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_7
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f52547]) ).

thf(f52561,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f52563,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f52561]) ).

thf(f52605,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_184
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f7568,f28671]) ).

thf(f52606,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f52605]) ).

thf(f52609,plain,
    ( $false
    | ~ spl0_184
    | ~ spl0_392
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f52606,f28659]) ).

thf(f52610,plain,
    ( ~ spl0_184
    | ~ spl0_392
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f52609]) ).

thf(f52616,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f52617,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f52616]) ).

thf(f52624,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_346
    | ~ spl0_449 ),
    inference(constrained_superposition,[],[f33807,f25499]) ).

thf(f52625,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_346
    | ~ spl0_449 ),
    inference(trivial_inequality_removal,[],[f52624]) ).

thf(f52626,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_346
    | spl0_348
    | ~ spl0_449 ),
    inference(forward_subsumption_resolution,[],[f52625,f30945]) ).

thf(f52627,plain,
    ( spl0_248
    | ~ spl0_346
    | spl0_348
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f52626,f33806,f25491,f25483,f14270]) ).

thf(f52663,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_7
    | spl0_94
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f52553,f3550]) ).

thf(f52666,definition,
    ( spl0_568
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_568])],[avatar_definition]) ).

thf(f52667,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_568 ),
    inference(avatar_component_clause,[],[f52666]) ).

thf(f52668,plain,
    ( spl0_371
    | spl0_568
    | ~ spl0_7
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f50112,f24554,f127,f52666,f27743]) ).

thf(f52669,plain,
    ( spl0_371
    | spl0_374
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f52269,f27634,f27951,f27743]) ).

thf(f52672,plain,
    ( spl0_200
    | ~ spl0_308
    | spl0_416
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f52482,f23347,f31220,f24136,f9396]) ).

thf(f52674,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_7
    | ~ spl0_206
    | spl0_370 ),
    inference(forward_subsumption_resolution,[],[f51985,f28198]) ).

thf(f52676,plain,
    ( spl0_106
    | ~ spl0_7
    | spl0_94
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f52663,f3385,f3366,f127,f3604]) ).

thf(f52705,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f50192,f31349]) ).

thf(f52707,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f52705]) ).

thf(f52712,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f52707,f402]) ).

thf(f52713,plain,
    ( spl0_493
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f52712,f31348,f25483,f401,f40900]) ).

thf(f52843,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_274
    | ~ spl0_543 ),
    inference(constrained_superposition,[],[f46911,f19551]) ).

thf(f52848,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_543 ),
    inference(trivial_inequality_removal,[],[f52843]) ).

thf(f52852,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f52848,f29197]) ).

thf(f52853,plain,
    ( $false
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_383
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f52852,f27997]) ).

thf(f52854,plain,
    ( ~ spl0_192
    | ~ spl0_274
    | ~ spl0_383
    | ~ spl0_543 ),
    inference(avatar_contradiction_clause,[],[f52853]) ).

thf(f52908,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f50192,f31356]) ).

thf(f52911,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f52908]) ).

thf(f52914,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_87
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f52911,f3342]) ).

thf(f52915,plain,
    ( spl0_495
    | ~ spl0_87
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f52914,f31355,f25483,f3341,f40918]) ).

thf(f52963,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_206
    | ~ spl0_304
    | spl0_370 ),
    inference(constrained_superposition,[],[f52674,f23358]) ).

thf(f52980,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_7
    | ~ spl0_206
    | ~ spl0_304
    | spl0_370 ),
    inference(trivial_inequality_removal,[],[f52963]) ).

thf(f52982,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_7
    | ~ spl0_206
    | ~ spl0_304
    | ~ spl0_323
    | spl0_370 ),
    inference(forward_subsumption_resolution,[],[f52980,f24555]) ).

thf(f52983,plain,
    ( ~ spl0_308
    | ~ spl0_7
    | ~ spl0_206
    | ~ spl0_304
    | ~ spl0_323
    | spl0_370 ),
    inference(avatar_split_clause,[],[f52982,f27739,f24554,f23357,f9426,f127,f24136]) ).

thf(f53066,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f52501,f27635]) ).

thf(f53078,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f53066]) ).

thf(f53080,plain,
    ( $false
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_486 ),
    inference(forward_subsumption_resolution,[],[f53078,f27640]) ).

thf(f53081,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_486 ),
    inference(avatar_contradiction_clause,[],[f53080]) ).

thf(f53093,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_301
    | ~ spl0_568 ),
    inference(constrained_superposition,[],[f52667,f23348]) ).

thf(f53110,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_568 ),
    inference(trivial_inequality_removal,[],[f53093]) ).

thf(f53112,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_568 ),
    inference(forward_subsumption_resolution,[],[f53110,f9427]) ).

thf(f53113,plain,
    ( ~ spl0_313
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f53112,f52666,f23347,f9426,f24153]) ).

thf(f53116,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f52617,f24161]) ).

thf(f53123,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f53116]) ).

thf(f53124,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f53123,f9397]) ).

thf(f53130,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f53124]) ).

thf(f53134,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f53130,f402]) ).

thf(f53135,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f53134,f77]) ).

thf(f53136,plain,
    ( ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f53135]) ).

thf(f53152,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f59]) ).

thf(f53155,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f53152]) ).

thf(f53198,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_302
    | ~ spl0_487 ),
    inference(constrained_superposition,[],[f40628,f23351]) ).

thf(f53201,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_302
    | ~ spl0_487 ),
    inference(trivial_inequality_removal,[],[f53198]) ).

thf(f53205,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_303
    | ~ spl0_320 ),
    inference(constrained_superposition,[],[f24453,f23355]) ).

thf(f53206,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f43053,f23355]) ).

thf(f53211,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f53206]) ).

thf(f53216,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_320 ),
    inference(trivial_inequality_removal,[],[f53205]) ).

thf(f53219,plain,
    ( ~ spl0_418
    | ~ spl0_303
    | ~ spl0_320 ),
    inference(avatar_split_clause,[],[f53216,f24452,f23354,f31348]) ).

thf(f53231,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f53155,f27648]) ).

thf(f53250,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f53231]) ).

thf(f53342,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f35]) ).

thf(f53346,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true ) )
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f53342]) ).

thf(f53348,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_15
    | spl0_346 ),
    inference(constrained_superposition,[],[f25484,f229]) ).

thf(f53349,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_15
    | spl0_200 ),
    inference(constrained_superposition,[],[f30104,f229]) ).

thf(f53364,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_15
    | spl0_200 ),
    inference(trivial_inequality_removal,[],[f53349]) ).

thf(f53379,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_15
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f53348]) ).

thf(f53416,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_562 ),
    inference(constrained_superposition,[],[f51541,f60]) ).

thf(f53420,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_562 ),
    inference(trivial_inequality_removal,[],[f53416]) ).

thf(f53427,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_562 ),
    inference(forward_subsumption_resolution,[],[f53420,f238]) ).

thf(f53428,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_195
    | ~ spl0_562 ),
    inference(forward_subsumption_resolution,[],[f53427,f28299]) ).

thf(f53429,plain,
    ( ~ spl0_443
    | ~ spl0_4
    | spl0_195
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f53428,f51540,f9369,f97,f33721]) ).

thf(f53446,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_549 ),
    inference(constrained_superposition,[],[f50001,f27648]) ).

thf(f53463,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_549 ),
    inference(trivial_inequality_removal,[],[f53446]) ).

thf(f53565,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_398 ),
    inference(constrained_superposition,[],[f28691,f2996]) ).

thf(f53576,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_398 ),
    inference(trivial_inequality_removal,[],[f53565]) ).

thf(f53603,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_555 ),
    inference(constrained_superposition,[],[f50976,f27648]) ).

thf(f53609,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_555 ),
    inference(trivial_inequality_removal,[],[f53603]) ).

thf(f53625,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_565 ),
    inference(constrained_superposition,[],[f52333,f60]) ).

thf(f53629,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_565 ),
    inference(trivial_inequality_removal,[],[f53625]) ).

thf(f53634,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f53629,f238]) ).

thf(f53636,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_346
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f53634,f25484]) ).

thf(f53638,plain,
    ( ~ spl0_443
    | ~ spl0_4
    | spl0_346
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f53636,f52332,f25483,f97,f33721]) ).

thf(f53691,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_558 ),
    inference(constrained_superposition,[],[f51230,f36]) ).

thf(f53702,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_558 ),
    inference(trivial_inequality_removal,[],[f53691]) ).

thf(f53712,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_561 ),
    inference(constrained_superposition,[],[f51533,f349]) ).

thf(f53714,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_561 ),
    inference(trivial_inequality_removal,[],[f53712]) ).

thf(f53722,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_418
    | ~ spl0_561 ),
    inference(forward_subsumption_resolution,[],[f53714,f42726]) ).

thf(f53724,plain,
    ( ~ spl0_429
    | ~ spl0_32
    | spl0_418
    | ~ spl0_561 ),
    inference(avatar_split_clause,[],[f53722,f51532,f31348,f490,f32342]) ).

thf(f53726,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f52563,f24140]) ).

thf(f53731,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f53726]) ).

thf(f53735,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f53731,f23351]) ).

thf(f53739,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f53735]) ).

thf(f53741,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f53739,f24129]) ).

thf(f53742,plain,
    ( $false
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f53741,f39259]) ).

thf(f53743,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_360 ),
    inference(avatar_contradiction_clause,[],[f53742]) ).

thf(f53745,plain,
    ( ~ spl0_360
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f53741,f24139,f24128,f23350,f9373,f27593]) ).

thf(f53746,plain,
    ( spl0_360
    | ~ spl0_15
    | spl0_346 ),
    inference(avatar_split_clause,[],[f53379,f25483,f228,f27593]) ).

thf(f53750,plain,
    ( spl0_196
    | ~ spl0_15
    | spl0_200 ),
    inference(avatar_split_clause,[],[f53364,f9396,f228,f9373]) ).

thf(f53752,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_274 ),
    inference(avatar_component_clause,[],[f19550]) ).

thf(f53763,plain,
    ( ~ spl0_99
    | ~ spl0_63
    | spl0_360
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f53702,f51229,f27593,f1029,f3385]) ).

thf(f53764,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | ~ spl0_273
    | ~ spl0_480 ),
    inference(avatar_split_clause,[],[f52169,f39391,f19531,f9404,f9373]) ).

thf(f53766,plain,
    ( spl0_493
    | ~ spl0_306
    | ~ spl0_303
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f53211,f24139,f23354,f24128,f40900]) ).

thf(f53770,plain,
    ( ~ spl0_439
    | ~ spl0_393
    | ~ spl0_367
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f53463,f50000,f27647,f28663,f32768]) ).

thf(f53833,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f26,f24161]) ).

thf(f53839,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f53833]) ).

thf(f53939,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_466 ),
    inference(constrained_superposition,[],[f34843,f27625]) ).

thf(f53941,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f9412,f27625]) ).

thf(f53947,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f53941]) ).

thf(f53952,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_466 ),
    inference(trivial_inequality_removal,[],[f53939]) ).

thf(f53955,plain,
    ( $false
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_466 ),
    inference(forward_subsumption_resolution,[],[f53952,f29197]) ).

thf(f53956,plain,
    ( ~ spl0_192
    | ~ spl0_361
    | ~ spl0_466 ),
    inference(avatar_contradiction_clause,[],[f53955]) ).

thf(f53973,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f238]) ).

thf(f53974,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f53973]) ).

thf(f53986,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f53987,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f53986]) ).

thf(f54045,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(constrained_superposition,[],[f508,f402]) ).

thf(f54052,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(trivial_inequality_removal,[],[f54045]) ).

thf(f54066,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_537 ),
    inference(constrained_superposition,[],[f46237,f27648]) ).

thf(f54067,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_537 ),
    inference(constrained_superposition,[],[f46237,f2995]) ).

thf(f54077,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_537 ),
    inference(trivial_inequality_removal,[],[f54067]) ).

thf(f54079,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_537 ),
    inference(trivial_inequality_removal,[],[f54066]) ).

thf(f54161,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_275
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f19555,f24161]) ).

thf(f54166,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_275
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f54161]) ).

thf(f54231,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f53974,f36]) ).

thf(f54236,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f54231]) ).

thf(f54237,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f54236]) ).

thf(f54256,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f53987,f24140]) ).

thf(f54258,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_196
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f53987,f23355]) ).

thf(f54259,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f54258]) ).

thf(f54262,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f54256]) ).

thf(f54276,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f54259,f27632]) ).

thf(f54282,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f54276]) ).

thf(f54283,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f54282,f29197]) ).

thf(f54286,plain,
    ( ~ spl0_366
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f54283,f27631,f23354,f9373,f9353,f27642]) ).

thf(f54287,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_348
    | ~ spl0_487 ),
    inference(forward_subsumption_resolution,[],[f53201,f25492]) ).

thf(f54288,plain,
    ( ~ spl0_418
    | ~ spl0_302
    | ~ spl0_348
    | ~ spl0_487 ),
    inference(avatar_split_clause,[],[f54287,f40627,f25491,f23350,f31348]) ).

thf(f54293,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f26,f3352]) ).

thf(f54296,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f54293]) ).

thf(f54307,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_279
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f20073,f31349]) ).

thf(f54308,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f42783,f31349]) ).

thf(f54310,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f54259,f31349]) ).

thf(f54314,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f54308]) ).

thf(f54318,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f54310]) ).

thf(f54319,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_279
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f54307]) ).

thf(f54322,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f54314,f25492]) ).

thf(f54324,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f54318,f24161]) ).

thf(f54325,plain,
    ( spl0_322
    | ~ spl0_279
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f54319,f31348,f20072,f24540]) ).

thf(f54326,plain,
    ( spl0_466
    | ~ spl0_37
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f54322,f31348,f25491,f521,f34842]) ).

thf(f54328,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f54324,f398]) ).

thf(f54329,plain,
    ( ~ spl0_23
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_418 ),
    inference(avatar_contradiction_clause,[],[f54328]) ).

thf(f54333,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_365
    | ~ spl0_535 ),
    inference(constrained_superposition,[],[f46163,f27640]) ).

thf(f54359,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_535 ),
    inference(trivial_inequality_removal,[],[f54333]) ).

thf(f54364,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_535 ),
    inference(forward_subsumption_resolution,[],[f54359,f11806]) ).

thf(f54365,plain,
    ( ~ spl0_372
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f54364,f46162,f27639,f11805,f27943]) ).

thf(f54372,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_544 ),
    inference(constrained_superposition,[],[f47457,f2996]) ).

thf(f54375,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_544 ),
    inference(trivial_inequality_removal,[],[f54372]) ).

thf(f54464,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_566 ),
    inference(constrained_superposition,[],[f52408,f59]) ).

thf(f54474,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_566 ),
    inference(trivial_inequality_removal,[],[f54464]) ).

thf(f54527,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f53839,f24140]) ).

thf(f54533,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f54527]) ).

thf(f54538,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f54533,f9401]) ).

thf(f54539,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f54538]) ).

thf(f54548,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_37
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f54539,f33771]) ).

thf(f54549,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_275
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f54166,f402]) ).

thf(f54550,plain,
    ( spl0_273
    | ~ spl0_95
    | ~ spl0_104
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f54077,f46236,f3594,f3370,f19531]) ).

thf(f54551,plain,
    ( ~ spl0_396
    | ~ spl0_95
    | spl0_395
    | ~ spl0_398 ),
    inference(avatar_split_clause,[],[f53576,f28690,f28670,f3370,f28673]) ).

thf(f54552,plain,
    ( spl0_395
    | ~ spl0_469
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f54375,f47456,f35792,f28670]) ).

thf(f54553,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f54548,f24160,f24139,f9373,f521,f397]) ).

thf(f54554,plain,
    ( ~ spl0_86
    | ~ spl0_24
    | ~ spl0_275
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f54549,f24160,f19554,f401,f3337]) ).

thf(f54574,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f54296,f3328]) ).

thf(f54582,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f54574]) ).

thf(f54590,plain,
    ( spl0_171
    | ~ spl0_83
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f54582,f3351,f3327,f6520]) ).

thf(f54600,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f26,f3338]) ).

thf(f54602,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f54600]) ).

thf(f54619,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f54296,f28671]) ).

thf(f54630,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f54619]) ).

thf(f54662,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(constrained_superposition,[],[f32480,f31356]) ).

thf(f54673,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(trivial_inequality_removal,[],[f54662]) ).

thf(f54679,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_395
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[],[f54673,f28671]) ).

thf(f54680,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_395
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(forward_subsumption_resolution,[],[f54679,f3342]) ).

thf(f54681,plain,
    ( ~ spl0_87
    | ~ spl0_395
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(avatar_contradiction_clause,[],[f54680]) ).

thf(f54683,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_364
    | ~ spl0_558 ),
    inference(constrained_superposition,[],[f51230,f27635]) ).

thf(f54699,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_558 ),
    inference(trivial_inequality_removal,[],[f54683]) ).

thf(f54711,plain,
    ( ~ spl0_393
    | ~ spl0_439
    | ~ spl0_364
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f54699,f51229,f27634,f32768,f28663]) ).

thf(f54747,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f54630,f9370]) ).

thf(f54754,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f54747]) ).

thf(f54757,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_87
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f54754,f3342]) ).

thf(f54758,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_87
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f54757,f77]) ).

thf(f54759,plain,
    ( ~ spl0_1
    | ~ spl0_87
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f54758]) ).

thf(f54760,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_371
    | ~ spl0_566 ),
    inference(forward_subsumption_resolution,[],[f54474,f31240]) ).

thf(f54765,plain,
    ( ~ spl0_145
    | ~ spl0_313
    | spl0_371
    | ~ spl0_566 ),
    inference(avatar_split_clause,[],[f54760,f52407,f27743,f24153,f4569]) ).

thf(f54790,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f49320,f19551]) ).

thf(f54801,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f54790]) ).

thf(f54821,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_346 ),
    inference(constrained_superposition,[],[f25484,f455]) ).

thf(f54850,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f54821]) ).

thf(f54871,plain,
    ( $false
    | ~ spl0_30
    | spl0_323
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f54850,f31536]) ).

thf(f54872,plain,
    ( ~ spl0_30
    | spl0_323
    | spl0_346 ),
    inference(avatar_contradiction_clause,[],[f54871]) ).

thf(f54911,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_364
    | ~ spl0_505 ),
    inference(constrained_superposition,[],[f41416,f27635]) ).

thf(f54921,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_505 ),
    inference(trivial_inequality_removal,[],[f54911]) ).

thf(f54931,definition,
    ( spl0_569
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_569])],[avatar_definition]) ).

thf(f54932,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_569 ),
    inference(avatar_component_clause,[],[f54931]) ).

thf(f54933,plain,
    ( ~ spl0_569
    | ~ spl0_421
    | ~ spl0_364
    | ~ spl0_505 ),
    inference(avatar_split_clause,[],[f54921,f41415,f27634,f31359,f54931]) ).

thf(f54934,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_569 ),
    inference(constrained_superposition,[],[f54932,f349]) ).

thf(f54937,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | spl0_569 ),
    inference(constrained_superposition,[],[f54932,f32]) ).

thf(f54938,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_569 ),
    inference(trivial_inequality_removal,[],[f54937]) ).

thf(f54941,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_569 ),
    inference(trivial_inequality_removal,[],[f54934]) ).

thf(f54942,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_418
    | spl0_569 ),
    inference(forward_subsumption_resolution,[],[f54938,f42726]) ).

thf(f54945,plain,
    ( $false
    | spl0_418
    | spl0_569 ),
    inference(forward_subsumption_resolution,[],[f54941,f42726]) ).

thf(f54946,plain,
    ( spl0_418
    | spl0_569 ),
    inference(avatar_contradiction_clause,[],[f54945]) ).

thf(f54947,plain,
    ( spl0_350
    | spl0_418
    | spl0_569 ),
    inference(avatar_split_clause,[],[f54942,f54931,f31348,f25584]) ).

thf(f55016,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f49320,f27632]) ).

thf(f55028,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f55016]) ).

thf(f55149,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f54602,f35]) ).

thf(f55151,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f54602,f24144]) ).

thf(f55152,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f55151]) ).

thf(f55153,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f55149]) ).

thf(f55159,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_86
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f55152,f9401]) ).

thf(f55161,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f55159]) ).

thf(f55165,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f55161,f3352]) ).

thf(f55166,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f55165,f33771]) ).

thf(f55167,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f55166]) ).

thf(f55168,plain,
    ( ~ spl0_371
    | spl0_417
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f55028,f27996,f27631,f31242,f27743]) ).

thf(f55169,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_360
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f53947,f39259]) ).

thf(f55170,plain,
    ( ~ spl0_94
    | spl0_122
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f54801,f27996,f19550,f4015,f3366]) ).

thf(f55171,plain,
    ( ~ spl0_371
    | ~ spl0_203
    | ~ spl0_360
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f55169,f27624,f27593,f9411,f27743]) ).

thf(f55188,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f54602,f3367]) ).

thf(f55189,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f54296,f3367]) ).

thf(f55195,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f55189]) ).

thf(f55197,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f55188]) ).

thf(f55198,plain,
    ( spl0_543
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f55195,f3366,f3351,f46910]) ).

thf(f55199,plain,
    ( spl0_130
    | ~ spl0_86
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f55197,f3366,f3337,f4279]) ).

thf(f55200,plain,
    ( ( $true != $true )
    | ~ spl0_12
    | spl0_23 ),
    inference(constrained_superposition,[],[f2236,f202]) ).

thf(f55222,plain,
    ( $false
    | ~ spl0_12
    | spl0_23 ),
    inference(trivial_inequality_removal,[],[f55200]) ).

thf(f55223,plain,
    ( ~ spl0_12
    | spl0_23 ),
    inference(avatar_contradiction_clause,[],[f55222]) ).

thf(f55239,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f54602,f3328]) ).

thf(f55250,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f55239]) ).

thf(f55255,plain,
    ( spl0_134
    | ~ spl0_83
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f55250,f3337,f3327,f4308]) ).

thf(f55267,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f54262,f9397]) ).

thf(f55281,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f55267]) ).

thf(f55286,definition,
    ( spl0_570
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_570])],[avatar_definition]) ).

thf(f55287,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_570 ),
    inference(avatar_component_clause,[],[f55286]) ).

thf(f55290,plain,
    ( spl0_11
    | spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f54237,f97,f76,f166]) ).

thf(f55292,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f54052,f507,f401,f143,f76]) ).

thf(f55293,plain,
    ( ~ spl0_10
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_250 ),
    inference(avatar_split_clause,[],[f51999,f14276,f9353,f76,f143]) ).

thf(f55297,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_309 ),
    inference(forward_subsumption_resolution,[],[f55281,f402]) ).

thf(f55302,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f55297,f24139,f9396,f9373,f401,f76]) ).

thf(f55308,plain,
    ( ~ spl0_388
    | ~ spl0_381
    | ~ spl0_367
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f54079,f46236,f27647,f27981,f28279]) ).

thf(f55310,plain,
    ( spl0_370
    | ~ spl0_381
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f53250,f27647,f223,f27981,f27739]) ).

thf(f55311,plain,
    ( ~ spl0_305
    | ~ spl0_396
    | ~ spl0_367
    | ~ spl0_555 ),
    inference(avatar_split_clause,[],[f53609,f50975,f27647,f28673,f24125]) ).

thf(f55344,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f53987,f27740]) ).

thf(f55350,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f55344]) ).

thf(f55353,plain,
    ( spl0_198
    | ~ spl0_196
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f55350,f27739,f9373,f9382]) ).

thf(f55366,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_192
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f51994,f27963]) ).

thf(f55369,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f26,f27963]) ).

thf(f55370,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f55366]) ).

thf(f55373,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f55369]) ).

thf(f55382,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_86
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f54602,f28671]) ).

thf(f55390,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f55382]) ).

thf(f55405,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_483 ),
    inference(constrained_superposition,[],[f39741,f27640]) ).

thf(f55424,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_483 ),
    inference(trivial_inequality_removal,[],[f55405]) ).

thf(f55434,plain,
    ( ~ spl0_372
    | ~ spl0_381
    | ~ spl0_365
    | ~ spl0_483 ),
    inference(avatar_split_clause,[],[f55424,f39740,f27639,f27981,f27943]) ).

thf(f55470,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_401 ),
    inference(constrained_superposition,[],[f29119,f19551]) ).

thf(f55471,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_401 ),
    inference(trivial_inequality_removal,[],[f55470]) ).

thf(f55475,plain,
    ( $false
    | ~ spl0_86
    | ~ spl0_274
    | ~ spl0_401 ),
    inference(forward_subsumption_resolution,[],[f55471,f3338]) ).

thf(f55476,plain,
    ( ~ spl0_86
    | ~ spl0_274
    | ~ spl0_401 ),
    inference(avatar_contradiction_clause,[],[f55475]) ).

thf(f55514,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_399 ),
    inference(constrained_superposition,[],[f28965,f36]) ).

thf(f55519,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_399 ),
    inference(constrained_superposition,[],[f28965,f2996]) ).

thf(f55522,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_399 ),
    inference(trivial_inequality_removal,[],[f55519]) ).

thf(f55529,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_399 ),
    inference(trivial_inequality_removal,[],[f55514]) ).

thf(f55532,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_392
    | ~ spl0_451 ),
    inference(constrained_superposition,[],[f39829,f33823]) ).

thf(f55533,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_315
    | ~ spl0_451 ),
    inference(constrained_superposition,[],[f39586,f33823]) ).

thf(f55549,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_392
    | ~ spl0_451 ),
    inference(trivial_inequality_removal,[],[f55532]) ).

thf(f55551,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_315
    | ~ spl0_451 ),
    inference(trivial_inequality_removal,[],[f55533]) ).

thf(f55571,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | spl0_392
    | ~ spl0_451 ),
    inference(forward_subsumption_resolution,[],[f55549,f28]) ).

thf(f55572,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_315
    | ~ spl0_451 ),
    inference(forward_subsumption_resolution,[],[f55551,f28]) ).

thf(f55573,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_193
    | spl0_392
    | ~ spl0_451 ),
    inference(forward_subsumption_resolution,[],[f55571,f28188]) ).

thf(f55574,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_201
    | spl0_315
    | ~ spl0_451 ),
    inference(forward_subsumption_resolution,[],[f55572,f27540]) ).

thf(f55575,plain,
    ( spl0_249
    | spl0_193
    | spl0_392
    | ~ spl0_451 ),
    inference(avatar_split_clause,[],[f55573,f33822,f28658,f9357,f14273]) ).

thf(f55576,plain,
    ( spl0_247
    | spl0_201
    | spl0_315
    | ~ spl0_451 ),
    inference(avatar_split_clause,[],[f55574,f33822,f24160,f9404,f14155]) ).

thf(f55691,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_224 ),
    inference(constrained_superposition,[],[f11967,f9401]) ).

thf(f55692,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_196
    | ~ spl0_224 ),
    inference(trivial_inequality_removal,[],[f55691]) ).

thf(f55696,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_224 ),
    inference(forward_subsumption_resolution,[],[f55692,f77]) ).

thf(f55697,plain,
    ( ~ spl0_10
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_224 ),
    inference(avatar_split_clause,[],[f55696,f11966,f9373,f76,f143]) ).

thf(f55736,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f55370,f9370]) ).

thf(f55737,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f55370,f27625]) ).

thf(f55738,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f55370,f28671]) ).

thf(f55740,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f55738]) ).

thf(f55741,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f55737]) ).

thf(f55742,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f55736]) ).

thf(f55745,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f55742,f402]) ).

thf(f55748,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f55745,f77]) ).

thf(f55749,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f55748]) ).

thf(f55750,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f55740,f3352]) ).

thf(f55751,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_310
    | ~ spl0_399 ),
    inference(forward_subsumption_resolution,[],[f55522,f34435]) ).

thf(f55753,plain,
    ( ~ spl0_63
    | spl0_196
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f55529,f28964,f9373,f1029]) ).

thf(f55754,plain,
    ( ~ spl0_83
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f55750,f28670,f27962,f9353,f3351,f3327]) ).

thf(f55755,plain,
    ( ~ spl0_110
    | spl0_310
    | ~ spl0_399 ),
    inference(avatar_split_clause,[],[f55751,f28964,f24143,f3663]) ).

thf(f55761,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f26,f388]) ).

thf(f55763,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f55761]) ).

thf(f55788,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f26,f28659]) ).

thf(f55790,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f55788]) ).

thf(f55810,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_192
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f51994,f27643]) ).

thf(f55821,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f55810]) ).

thf(f55834,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f55763,f28659]) ).

thf(f55837,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f55834]) ).

thf(f55841,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_506 ),
    inference(constrained_superposition,[],[f41420,f27648]) ).

thf(f55854,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_506 ),
    inference(trivial_inequality_removal,[],[f55841]) ).

thf(f55943,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_556 ),
    inference(constrained_superposition,[],[f51023,f27648]) ).

thf(f55958,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_556 ),
    inference(trivial_inequality_removal,[],[f55943]) ).

thf(f55961,plain,
    ( ~ spl0_468
    | ~ spl0_372
    | ~ spl0_367
    | ~ spl0_556 ),
    inference(avatar_split_clause,[],[f55958,f51022,f27647,f27943,f35753]) ).

thf(f55962,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f55821,f27625]) ).

thf(f55966,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f55962]) ).

thf(f56020,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_86
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f55390,f29197]) ).

thf(f56023,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f56020]) ).

thf(f56025,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f56023,f3352]) ).

thf(f56026,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f56025,f33771]) ).

thf(f56027,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f56026]) ).

thf(f56041,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f54296,f24144]) ).

thf(f56051,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f56041]) ).

thf(f56068,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f56051,f27643]) ).

thf(f56070,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f56068]) ).

thf(f56077,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f56070,f29197]) ).

thf(f56078,plain,
    ( ~ spl0_274
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f56077,f27642,f24143,f9353,f3351,f19550]) ).

thf(f56116,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_373 ),
    inference(constrained_superposition,[],[f27947,f59]) ).

thf(f56124,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_373 ),
    inference(trivial_inequality_removal,[],[f56116]) ).

thf(f56130,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_373
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f56124,f28305]) ).

thf(f56131,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | ~ spl0_373
    | spl0_383 ),
    inference(avatar_split_clause,[],[f56130,f27996,f27946,f4569,f3370]) ).

thf(f56138,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_376 ),
    inference(constrained_superposition,[],[f27960,f2996]) ).

thf(f56144,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_376 ),
    inference(trivial_inequality_removal,[],[f56138]) ).

thf(f56236,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f55373,f27632]) ).

thf(f56239,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f56236]) ).

thf(f56306,plain,
    ( ~ spl0_360
    | ~ spl0_302
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f55966,f27642,f27624,f9353,f23350,f27593]) ).

thf(f56410,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_506 ),
    inference(constrained_superposition,[],[f41420,f23358]) ).

thf(f56411,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f23358]) ).

thf(f56439,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_304
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f56411]) ).

thf(f56442,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_506 ),
    inference(trivial_inequality_removal,[],[f56410]) ).

thf(f56446,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_526 ),
    inference(forward_subsumption_resolution,[],[f56439,f24555]) ).

thf(f56448,plain,
    ( ~ spl0_421
    | ~ spl0_569
    | ~ spl0_304
    | ~ spl0_506 ),
    inference(avatar_split_clause,[],[f56442,f41419,f23357,f54931,f31359]) ).

thf(f56449,plain,
    ( ~ spl0_421
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f56446,f42967,f24554,f23357,f31359]) ).

thf(f56528,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_512 ),
    inference(constrained_superposition,[],[f42373,f23348]) ).

thf(f56543,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_512 ),
    inference(trivial_inequality_removal,[],[f56528]) ).

thf(f56547,plain,
    ( ~ spl0_429
    | ~ spl0_305
    | ~ spl0_301
    | ~ spl0_512 ),
    inference(avatar_split_clause,[],[f56543,f42372,f23347,f24125,f32342]) ).

thf(f56549,plain,
    ( spl0_493
    | ~ spl0_306
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f56239,f27962,f27631,f24128,f40900]) ).

thf(f56552,plain,
    ( ~ spl0_306
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_361
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f55741,f27962,f27624,f9353,f27593,f24128]) ).

thf(f56625,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f11967,f23351]) ).

thf(f56626,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_275
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f19555,f23351]) ).

thf(f56634,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f56625]) ).

thf(f56638,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_275
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f56626]) ).

thf(f56665,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f23351]) ).

thf(f56669,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f56665]) ).

thf(f56672,plain,
    ( ~ spl0_200
    | ~ spl0_302
    | ~ spl0_417 ),
    inference(avatar_split_clause,[],[f56669,f31242,f23350,f9396]) ).

thf(f56673,plain,
    ( spl0_465
    | ~ spl0_383
    | ~ spl0_20
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f55837,f28658,f387,f27996,f34835]) ).

thf(f56674,plain,
    ( ~ spl0_468
    | ~ spl0_393
    | ~ spl0_367
    | ~ spl0_506 ),
    inference(avatar_split_clause,[],[f55854,f41419,f27647,f28663,f35753]) ).

thf(f56675,plain,
    ( ~ spl0_371
    | ~ spl0_346
    | ~ spl0_224
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f56634,f23350,f11966,f25483,f27743]) ).

thf(f56676,plain,
    ( ~ spl0_324
    | ~ spl0_346
    | ~ spl0_275
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f56638,f23350,f19554,f25483,f24589]) ).

thf(f56677,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_420 ),
    inference(avatar_component_clause,[],[f31355]) ).

thf(f56749,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_569 ),
    inference(constrained_superposition,[],[f54932,f349]) ).

thf(f56755,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_569 ),
    inference(trivial_inequality_removal,[],[f56749]) ).

thf(f56759,plain,
    ( spl0_418
    | spl0_569 ),
    inference(avatar_split_clause,[],[f56755,f54931,f31348]) ).

thf(f56801,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_465 ),
    inference(constrained_superposition,[],[f34836,f27643]) ).

thf(f56806,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_465 ),
    inference(trivial_inequality_removal,[],[f56801]) ).

thf(f56950,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f6521,f24590]) ).

thf(f56958,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f56950]) ).

thf(f56998,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_134
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f4309,f24590]) ).

thf(f57006,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_134
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f56998]) ).

thf(f57064,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_507 ),
    inference(constrained_superposition,[],[f41425,f27628]) ).

thf(f57079,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_507 ),
    inference(trivial_inequality_removal,[],[f57064]) ).

thf(f57082,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_362
    | ~ spl0_507 ),
    inference(forward_subsumption_resolution,[],[f57079,f11806]) ).

thf(f57083,plain,
    ( ~ spl0_393
    | ~ spl0_223
    | ~ spl0_362
    | ~ spl0_507 ),
    inference(avatar_split_clause,[],[f57082,f41424,f27627,f11805,f28663]) ).

thf(f57084,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f56958,f39259]) ).

thf(f57085,plain,
    ( ~ spl0_418
    | ~ spl0_306
    | ~ spl0_134
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f57006,f24589,f4308,f24128,f31348]) ).

thf(f57086,plain,
    ( ~ spl0_306
    | ~ spl0_171
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f57084,f27593,f24589,f6520,f24128]) ).

thf(f57087,plain,
    ( ~ spl0_200
    | ~ spl0_366
    | ~ spl0_465 ),
    inference(avatar_split_clause,[],[f56806,f34835,f27642,f9396]) ).

thf(f57135,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f26,f24144]) ).

thf(f57139,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f57135]) ).

thf(f57279,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_306
    | ~ spl0_495 ),
    inference(constrained_superposition,[],[f40919,f24129]) ).

thf(f57282,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_495 ),
    inference(trivial_inequality_removal,[],[f57279]) ).

thf(f57285,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_306
    | ~ spl0_495 ),
    inference(forward_subsumption_resolution,[],[f57282,f3328]) ).

thf(f57286,plain,
    ( ~ spl0_83
    | ~ spl0_306
    | ~ spl0_495 ),
    inference(avatar_contradiction_clause,[],[f57285]) ).

thf(f57316,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_307 ),
    inference(constrained_superposition,[],[f24134,f348]) ).

thf(f57325,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_307 ),
    inference(trivial_inequality_removal,[],[f57316]) ).

thf(f57355,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_323
    | ~ spl0_513 ),
    inference(constrained_superposition,[],[f42647,f24555]) ).

thf(f57363,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_513 ),
    inference(trivial_inequality_removal,[],[f57355]) ).

thf(f57366,plain,
    ( ~ spl0_63
    | ~ spl0_345
    | ~ spl0_323
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f57363,f42646,f24554,f25306,f1029]) ).

thf(f57432,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_165
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f5981,f27648]) ).

thf(f57437,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f57432]) ).

thf(f57508,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f51577,f27648]) ).

thf(f57519,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f57508]) ).

thf(f57522,plain,
    ( spl0_560
    | ~ spl0_223
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f57519,f27647,f11805,f51515]) ).

thf(f57580,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_560 ),
    inference(constrained_superposition,[],[f51516,f349]) ).

thf(f57589,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_560 ),
    inference(trivial_inequality_removal,[],[f57580]) ).

thf(f57598,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_548 ),
    inference(constrained_superposition,[],[f49997,f349]) ).

thf(f57600,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_548 ),
    inference(trivial_inequality_removal,[],[f57598]) ).

thf(f57611,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f55790,f27632]) ).

thf(f57612,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f57611]) ).

thf(f57624,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f57612,f39259]) ).

thf(f57627,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f57624]) ).

thf(f57628,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_37
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f57627,f33771]) ).

thf(f57629,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f57628,f29197]) ).

thf(f57630,plain,
    ( ~ spl0_37
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f57629]) ).

thf(f57635,plain,
    ( spl0_477
    | spl0_99
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f55153,f3337,f3385,f38580]) ).

thf(f57640,plain,
    ( ~ spl0_396
    | spl0_274
    | ~ spl0_165
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f57437,f27647,f5980,f19550,f28673]) ).

thf(f57641,plain,
    ( spl0_306
    | ~ spl0_429
    | ~ spl0_32
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f57325,f24133,f490,f32342,f24128]) ).

thf(f57644,plain,
    ( ( z
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | spl0_4 ),
    inference(constrained_superposition,[],[f98,f32]) ).

thf(f57645,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( z
      = ( s @ z ) )
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f57644]) ).

thf(f57646,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f57645,f28]) ).

thf(f57650,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true ) )
    | spl0_4 ),
    inference(constrained_superposition,[],[f26,f57646]) ).

thf(f57651,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f57650]) ).

thf(f57656,plain,
    ( spl0_246
    | spl0_4 ),
    inference(avatar_split_clause,[],[f57651,f97,f13870]) ).

thf(f57661,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f54602,f3414]) ).

thf(f57665,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f57661]) ).

thf(f57669,plain,
    ( spl0_477
    | ~ spl0_86
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f57665,f3413,f3337,f38580]) ).

thf(f57749,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f167,f32]) ).

thf(f57752,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f57749]) ).

thf(f57794,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_171
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f6521,f19551]) ).

thf(f57797,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f26,f19551]) ).

thf(f57798,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f57797]) ).

thf(f57801,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f57794]) ).

thf(f57806,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f57801,f27963]) ).

thf(f57809,plain,
    ( $false
    | ~ spl0_171
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f57806,f29197]) ).

thf(f57810,plain,
    ( ~ spl0_171
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f57809]) ).

thf(f57831,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_5
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f101,f27640]) ).

thf(f57852,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_5
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f57831]) ).

thf(f57890,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_499 ),
    inference(constrained_superposition,[],[f40939,f23351]) ).

thf(f57895,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_499 ),
    inference(trivial_inequality_removal,[],[f57890]) ).

thf(f57914,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_528 ),
    inference(constrained_superposition,[],[f44637,f27625]) ).

thf(f57916,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_528 ),
    inference(trivial_inequality_removal,[],[f57914]) ).

thf(f58013,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f13076,f27632]) ).

thf(f58017,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f58013]) ).

thf(f58127,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f57798,f27963]) ).

thf(f58130,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f58127]) ).

thf(f58134,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f58130,f3338]) ).

thf(f58135,plain,
    ( spl0_184
    | ~ spl0_86
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f58134,f27962,f19550,f3337,f7567]) ).

thf(f58156,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f57139,f19532]) ).

thf(f58161,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_134
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f4309,f19532]) ).

thf(f58163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f26,f19532]) ).

thf(f58164,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f58163]) ).

thf(f58168,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f58156]) ).

thf(f58172,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_134
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f58161]) ).

thf(f58207,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f58168,f9397]) ).

thf(f58212,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f58207]) ).

thf(f58241,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f58164,f27740]) ).

thf(f58248,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f58241]) ).

thf(f58249,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_87
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f58248,f3342]) ).

thf(f58250,plain,
    ( spl0_122
    | ~ spl0_87
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f58249,f27739,f19531,f3341,f4015]) ).

thf(f58251,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_134
    | ~ spl0_273
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f58172,f24161]) ).

thf(f58254,plain,
    ( ~ spl0_94
    | ~ spl0_87
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f58212,f24143,f19531,f9396,f3341,f3366]) ).

thf(f58259,plain,
    ( ~ spl0_381
    | spl0_370
    | ~ spl0_5
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f57852,f27639,f100,f27739,f27981]) ).

thf(f58261,plain,
    ( ~ spl0_309
    | ~ spl0_134
    | ~ spl0_273
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f58251,f24160,f19531,f4308,f24139]) ).

thf(f58283,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_17
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f237,f27997]) ).

thf(f58288,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_17
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f58283]) ).

thf(f58290,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_17
    | ~ spl0_192
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f58288,f29197]) ).

thf(f58291,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f58290,f9358]) ).

thf(f58292,plain,
    ( ~ spl0_17
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(avatar_contradiction_clause,[],[f58291]) ).

thf(f58294,plain,
    ( ~ spl0_360
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f57916,f44636,f27624,f25491,f27593]) ).

thf(f58297,plain,
    ( ~ spl0_348
    | spl0_466
    | ~ spl0_242
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f58017,f27631,f13075,f34842,f25491]) ).

thf(f58301,plain,
    ( ~ spl0_468
    | ~ spl0_429
    | spl0_418
    | ~ spl0_548 ),
    inference(avatar_split_clause,[],[f57600,f49996,f31348,f32342,f35753]) ).

thf(f58327,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f55287,f32]) ).

thf(f58330,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f55287,f59]) ).

thf(f58331,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f58330]) ).

thf(f58334,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f58327]) ).

thf(f58411,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(constrained_superposition,[],[f743,f33771]) ).

thf(f58413,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(trivial_inequality_removal,[],[f58411]) ).

thf(f58426,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f26,f27963]) ).

thf(f58430,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f58426]) ).

thf(f58506,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_37
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f42783,f31349]) ).

thf(f58508,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_326
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f24718,f31349]) ).

thf(f58510,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f58506]) ).

thf(f58515,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_326
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f58508]) ).

thf(f58520,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f58331,f36]) ).

thf(f58523,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f58520]) ).

thf(f58525,plain,
    ( spl0_6
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f58523,f55286,f124]) ).

thf(f58535,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_377
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f27963]) ).

thf(f58540,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_377
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f58535]) ).

thf(f58601,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f3640,f23358]) ).

thf(f58614,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f58601]) ).

thf(f58654,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_531 ),
    inference(constrained_superposition,[],[f45417,f27628]) ).

thf(f58672,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_531 ),
    inference(trivial_inequality_removal,[],[f58654]) ).

thf(f58685,plain,
    ( ~ spl0_421
    | ~ spl0_430
    | ~ spl0_362
    | ~ spl0_531 ),
    inference(avatar_split_clause,[],[f58672,f45416,f27627,f32398,f31359]) ).

thf(f58690,plain,
    ( ~ spl0_420
    | ~ spl0_371
    | ~ spl0_302
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f57895,f40938,f23350,f27743,f31355]) ).

thf(f58691,plain,
    ( spl0_420
    | spl0_422
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f58614,f23357,f31363,f31355]) ).

thf(f58693,plain,
    ( ~ spl0_23
    | ~ spl0_377
    | ~ spl0_386 ),
    inference(avatar_split_clause,[],[f58540,f28190,f27962,f397]) ).

thf(f58696,plain,
    ( ~ spl0_348
    | spl0_466
    | ~ spl0_37
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f58510,f31348,f521,f34842,f25491]) ).

thf(f58701,plain,
    ( ~ spl0_10
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f58413,f742,f521,f143]) ).

thf(f58705,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_326
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f58515,f402]) ).

thf(f58707,plain,
    ( ~ spl0_315
    | ~ spl0_24
    | ~ spl0_326
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f58705,f31348,f24717,f401,f24160]) ).

thf(f58886,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f58164,f23355]) ).

thf(f58892,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f58886]) ).

thf(f58906,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f512,f27963]) ).

thf(f58909,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f58906]) ).

thf(f58997,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_5 ),
    inference(constrained_superposition,[],[f101,f348]) ).

thf(f59014,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f58997]) ).

thf(f59044,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f11967,f24161]) ).

thf(f59045,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f59044]) ).

thf(f59050,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f59045,f388]) ).

thf(f59051,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f59050,f402]) ).

thf(f59052,plain,
    ( ~ spl0_20
    | ~ spl0_24
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f59051]) ).

thf(f59064,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_242
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f13076,f27997]) ).

thf(f59067,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f26,f27997]) ).

thf(f59068,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f59067]) ).

thf(f59069,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f59064]) ).

thf(f59074,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_47 ),
    inference(constrained_superposition,[],[f743,f35]) ).

thf(f59076,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_47 ),
    inference(trivial_inequality_removal,[],[f59074]) ).

thf(f59096,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f26,f23351]) ).

thf(f59101,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f59096]) ).

thf(f59142,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_506 ),
    inference(constrained_superposition,[],[f41420,f2995]) ).

thf(f59156,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_506 ),
    inference(trivial_inequality_removal,[],[f59142]) ).

thf(f59209,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_367
    | ~ spl0_554 ),
    inference(constrained_superposition,[],[f50972,f27648]) ).

thf(f59214,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_554 ),
    inference(trivial_inequality_removal,[],[f59209]) ).

thf(f59267,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_512 ),
    inference(constrained_superposition,[],[f42373,f2995]) ).

thf(f59277,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_512 ),
    inference(trivial_inequality_removal,[],[f59267]) ).

thf(f59282,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_324
    | ~ spl0_512 ),
    inference(forward_subsumption_resolution,[],[f59277,f32483]) ).

thf(f59283,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_324
    | ~ spl0_512 ),
    inference(avatar_split_clause,[],[f59282,f42372,f24589,f5933,f3663]) ).

thf(f59291,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_538 ),
    inference(constrained_superposition,[],[f46276,f349]) ).

thf(f59298,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_538 ),
    inference(trivial_inequality_removal,[],[f59291]) ).

thf(f59324,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f59068,f27643]) ).

thf(f59327,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f59324]) ).

thf(f59333,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f59327,f27740]) ).

thf(f59334,plain,
    ( spl0_387
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f59333,f27996,f27739,f27642,f28200]) ).

thf(f59335,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_387 ),
    inference(constrained_superposition,[],[f28201,f35]) ).

thf(f59340,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_387 ),
    inference(trivial_inequality_removal,[],[f59335]) ).

thf(f59380,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_314 ),
    inference(constrained_superposition,[],[f24157,f36]) ).

thf(f59394,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_314 ),
    inference(trivial_inequality_removal,[],[f59380]) ).

thf(f59397,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_314
    | spl0_360 ),
    inference(forward_subsumption_resolution,[],[f59394,f27594]) ).

thf(f59398,plain,
    ( ~ spl0_63
    | ~ spl0_345
    | ~ spl0_314
    | spl0_360 ),
    inference(avatar_split_clause,[],[f59397,f27593,f24156,f25306,f1029]) ).

thf(f59472,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f59101,f27625]) ).

thf(f59476,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f59472]) ).

thf(f59479,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f59476,f27643]) ).

thf(f59482,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f59479,f27997]) ).

thf(f59483,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_274
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f59479,f19551]) ).

thf(f59486,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f59482]) ).

thf(f59487,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_274
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f59483]) ).

thf(f59492,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f59486,f27740]) ).

thf(f59493,plain,
    ( ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383 ),
    inference(avatar_contradiction_clause,[],[f59492]) ).

thf(f59494,plain,
    ( $false
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f59487,f19532]) ).

thf(f59495,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(avatar_contradiction_clause,[],[f59494]) ).

thf(f59499,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_35
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f512,f24129]) ).

thf(f59503,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_35
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f59499]) ).

thf(f59516,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_301
    | ~ spl0_507 ),
    inference(constrained_superposition,[],[f41425,f23348]) ).

thf(f59540,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_507 ),
    inference(trivial_inequality_removal,[],[f59516]) ).

thf(f59555,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_507 ),
    inference(forward_subsumption_resolution,[],[f59540,f9427]) ).

thf(f59557,plain,
    ( ~ spl0_305
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_507 ),
    inference(avatar_split_clause,[],[f59555,f41424,f23347,f9426,f24125]) ).

thf(f59575,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_561 ),
    inference(constrained_superposition,[],[f51533,f36]) ).

thf(f59586,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_561 ),
    inference(trivial_inequality_removal,[],[f59575]) ).

thf(f59592,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_360
    | ~ spl0_561 ),
    inference(forward_subsumption_resolution,[],[f59586,f27594]) ).

thf(f59593,plain,
    ( ~ spl0_19
    | ~ spl0_345
    | spl0_360
    | ~ spl0_561 ),
    inference(avatar_split_clause,[],[f59592,f51532,f27593,f25306,f278]) ).

thf(f59597,plain,
    ( spl0_26
    | spl0_20
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f59014,f100,f387,f408]) ).

thf(f59598,plain,
    ( ~ spl0_10
    | spl0_9
    | ~ spl0_242
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f59069,f27996,f13075,f139,f143]) ).

thf(f59600,plain,
    ( spl0_31
    | spl0_41
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f53346,f20072,f551,f458]) ).

thf(f59607,plain,
    ( ~ spl0_324
    | spl0_495
    | ~ spl0_273
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f58892,f23354,f19531,f40918,f24589]) ).

thf(f59609,plain,
    ( spl0_206
    | ~ spl0_10
    | ~ spl0_387 ),
    inference(avatar_split_clause,[],[f59340,f28200,f143,f9426]) ).

thf(f59612,plain,
    ( ~ spl0_10
    | spl0_31
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f59076,f742,f458,f143]) ).

thf(f59615,plain,
    ( ~ spl0_32
    | ~ spl0_429
    | spl0_392
    | ~ spl0_538 ),
    inference(avatar_split_clause,[],[f59298,f46275,f28658,f32342,f490]) ).

thf(f59625,plain,
    ( spl0_273
    | ~ spl0_110
    | ~ spl0_163
    | ~ spl0_506 ),
    inference(avatar_split_clause,[],[f59156,f41419,f5933,f3663,f19531]) ).

thf(f59631,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_376
    | spl0_395 ),
    inference(forward_subsumption_resolution,[],[f56144,f39832]) ).

thf(f59633,plain,
    ( ~ spl0_469
    | ~ spl0_110
    | ~ spl0_376
    | spl0_395 ),
    inference(avatar_split_clause,[],[f59631,f28670,f27959,f3663,f35792]) ).

thf(f59644,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f57752,f459]) ).

thf(f59645,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f167,f459]) ).

thf(f59648,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f59645]) ).

thf(f59650,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f59644]) ).

thf(f59724,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f59648,f348]) ).

thf(f59730,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f59724]) ).

thf(f59744,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f14277,f28659]) ).

thf(f59752,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f59744]) ).

thf(f59756,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f59752,f388]) ).

thf(f59757,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f59756,f402]) ).

thf(f59758,plain,
    ( ~ spl0_20
    | ~ spl0_24
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f59757]) ).

thf(f59779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f58430,f19551]) ).

thf(f59785,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f59779]) ).

thf(f59790,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f59785,f3328]) ).

thf(f59791,plain,
    ( spl0_184
    | ~ spl0_83
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f59790,f27962,f19550,f3327,f7567]) ).

thf(f59891,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_377
    | ~ spl0_465 ),
    inference(constrained_superposition,[],[f34836,f27963]) ).

thf(f59894,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_377
    | ~ spl0_465 ),
    inference(trivial_inequality_removal,[],[f59891]) ).

thf(f59897,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_377
    | ~ spl0_465 ),
    inference(forward_subsumption_resolution,[],[f59894,f402]) ).

thf(f59898,plain,
    ( ~ spl0_24
    | ~ spl0_377
    | ~ spl0_465 ),
    inference(avatar_contradiction_clause,[],[f59897]) ).

thf(f59944,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_554 ),
    inference(constrained_superposition,[],[f50972,f27628]) ).

thf(f59949,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f6155,f27628]) ).

thf(f59954,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f263,f27628]) ).

thf(f59959,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f31,f27628]) ).

thf(f59961,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f59954]) ).

thf(f59964,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f59959]) ).

thf(f59974,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f59949]) ).

thf(f59977,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_554 ),
    inference(trivial_inequality_removal,[],[f59944]) ).

thf(f60009,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_342 ),
    inference(constrained_superposition,[],[f25232,f59]) ).

thf(f60019,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_342 ),
    inference(trivial_inequality_removal,[],[f60009]) ).

thf(f60022,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_342
    | spl0_371 ),
    inference(forward_subsumption_resolution,[],[f60019,f31240]) ).

thf(f60023,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_342
    | spl0_371 ),
    inference(forward_subsumption_resolution,[],[f60022,f238]) ).

thf(f60024,plain,
    ( ~ spl0_19
    | ~ spl0_4
    | ~ spl0_342
    | spl0_371 ),
    inference(avatar_split_clause,[],[f60023,f27743,f25231,f97,f278]) ).

thf(f60061,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_535 ),
    inference(constrained_superposition,[],[f46163,f349]) ).

thf(f60066,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_535 ),
    inference(trivial_inequality_removal,[],[f60061]) ).

thf(f60183,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_58
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f870,f27648]) ).

thf(f60204,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f60183]) ).

thf(f60232,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_565 ),
    inference(constrained_superposition,[],[f52333,f349]) ).

thf(f60240,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_565 ),
    inference(trivial_inequality_removal,[],[f60232]) ).

thf(f60243,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_31
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f60240,f459]) ).

thf(f60244,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_31
    | spl0_418
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f60243,f42726]) ).

thf(f60245,plain,
    ( ~ spl0_429
    | ~ spl0_31
    | spl0_418
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f60244,f52332,f31348,f458,f32342]) ).

thf(f60254,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
          = $true ) )
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f58334,f32]) ).

thf(f60256,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ z @ X0 )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f60254]) ).

thf(f60258,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_373 ),
    inference(constrained_superposition,[],[f27947,f27640]) ).

thf(f60267,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_373 ),
    inference(trivial_inequality_removal,[],[f60258]) ).

thf(f60276,plain,
    ( ~ spl0_396
    | ~ spl0_469
    | ~ spl0_365
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f60267,f27946,f27639,f35792,f28673]) ).

thf(f60366,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f348]) ).

thf(f60368,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_442 ),
    inference(constrained_superposition,[],[f33477,f59]) ).

thf(f60374,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f60368]) ).

thf(f60381,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_442 ),
    inference(trivial_inequality_removal,[],[f60366]) ).

thf(f60509,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_379 ),
    inference(constrained_superposition,[],[f27974,f27628]) ).

thf(f60519,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_379 ),
    inference(trivial_inequality_removal,[],[f60509]) ).

thf(f60526,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_375 ),
    inference(constrained_superposition,[],[f27956,f36]) ).

thf(f60531,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_375 ),
    inference(constrained_superposition,[],[f27956,f27628]) ).

thf(f60540,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_375 ),
    inference(trivial_inequality_removal,[],[f60526]) ).

thf(f60541,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_375 ),
    inference(trivial_inequality_removal,[],[f60531]) ).

thf(f60546,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_380 ),
    inference(constrained_superposition,[],[f27978,f27640]) ).

thf(f60559,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_365
    | ~ spl0_380 ),
    inference(duplicate_literal_removal,[],[f60546]) ).

thf(f60560,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_380 ),
    inference(trivial_inequality_removal,[],[f60559]) ).

thf(f60564,plain,
    ( spl0_544
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_380 ),
    inference(avatar_split_clause,[],[f60560,f27977,f27639,f24125,f47456]) ).

thf(f60588,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f11267,f27643]) ).

thf(f60589,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f11967,f27643]) ).

thf(f60591,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_366
    | ~ spl0_499 ),
    inference(constrained_superposition,[],[f40939,f27643]) ).

thf(f60592,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(constrained_superposition,[],[f50691,f27643]) ).

thf(f60597,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_217
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f60588]) ).

thf(f60598,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f60589]) ).

thf(f60599,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(trivial_inequality_removal,[],[f60592]) ).

thf(f60606,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_366
    | ~ spl0_499 ),
    inference(trivial_inequality_removal,[],[f60591]) ).

thf(f60607,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(forward_subsumption_resolution,[],[f60599,f9358]) ).

thf(f60608,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_273 ),
    inference(avatar_component_clause,[],[f19531]) ).

thf(f60610,plain,
    ( $false
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(forward_subsumption_resolution,[],[f60607,f29197]) ).

thf(f60611,plain,
    ( ~ spl0_192
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(avatar_contradiction_clause,[],[f60610]) ).

thf(f60713,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_478 ),
    inference(constrained_superposition,[],[f39258,f2996]) ).

thf(f60717,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_478 ),
    inference(trivial_inequality_removal,[],[f60713]) ).

thf(f60727,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_420
    | ~ spl0_478 ),
    inference(forward_subsumption_resolution,[],[f60717,f56677]) ).

thf(f60730,definition,
    ( spl0_574
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_574])],[avatar_definition]) ).

thf(f60731,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_574 ),
    inference(avatar_component_clause,[],[f60730]) ).

thf(f60734,definition,
    ( spl0_575
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_575])],[avatar_definition]) ).

thf(f60735,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_575 ),
    inference(avatar_component_clause,[],[f60734]) ).

thf(f60736,plain,
    ( spl0_575
    | ~ spl0_439
    | spl0_420
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f60727,f39257,f31355,f32768,f60734]) ).

thf(f60738,definition,
    ( spl0_576
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_576])],[avatar_definition]) ).

thf(f60739,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_576 ),
    inference(avatar_component_clause,[],[f60738]) ).

thf(f60824,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_453 ),
    inference(constrained_superposition,[],[f33982,f2995]) ).

thf(f60834,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_453 ),
    inference(trivial_inequality_removal,[],[f60824]) ).

thf(f60846,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_515 ),
    inference(constrained_superposition,[],[f42704,f2996]) ).

thf(f60847,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_515 ),
    inference(constrained_superposition,[],[f42704,f349]) ).

thf(f60848,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_515 ),
    inference(constrained_superposition,[],[f42704,f60]) ).

thf(f60851,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_515 ),
    inference(trivial_inequality_removal,[],[f60846]) ).

thf(f60856,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_515 ),
    inference(trivial_inequality_removal,[],[f60847]) ).

thf(f60857,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_515 ),
    inference(trivial_inequality_removal,[],[f60848]) ).

thf(f60859,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_420
    | ~ spl0_515 ),
    inference(forward_subsumption_resolution,[],[f60851,f56677]) ).

thf(f60860,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | spl0_418
    | ~ spl0_515 ),
    inference(forward_subsumption_resolution,[],[f60856,f42726]) ).

thf(f60861,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_346
    | ~ spl0_515 ),
    inference(forward_subsumption_resolution,[],[f60857,f25484]) ).

thf(f60863,definition,
    ( spl0_577
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_577])],[avatar_definition]) ).

thf(f60864,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_577 ),
    inference(avatar_component_clause,[],[f60863]) ).

thf(f60865,plain,
    ( spl0_577
    | ~ spl0_439
    | spl0_420
    | ~ spl0_515 ),
    inference(avatar_split_clause,[],[f60859,f42703,f31355,f32768,f60863]) ).

thf(f60867,definition,
    ( spl0_578
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_578])],[avatar_definition]) ).

thf(f60868,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_578 ),
    inference(avatar_component_clause,[],[f60867]) ).

thf(f60869,plain,
    ( ~ spl0_468
    | spl0_578
    | spl0_418
    | ~ spl0_515 ),
    inference(avatar_split_clause,[],[f60860,f42703,f31348,f60867,f35753]) ).

thf(f60870,plain,
    ( spl0_414
    | ~ spl0_436
    | spl0_346
    | ~ spl0_515 ),
    inference(avatar_split_clause,[],[f60861,f42703,f25483,f32674,f31113]) ).

thf(f60909,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_304
    | ~ spl0_510 ),
    inference(constrained_superposition,[],[f42357,f23358]) ).

thf(f60911,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_304
    | ~ spl0_558 ),
    inference(constrained_superposition,[],[f51230,f23358]) ).

thf(f60932,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_558 ),
    inference(trivial_inequality_removal,[],[f60911]) ).

thf(f60945,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_510 ),
    inference(trivial_inequality_removal,[],[f60909]) ).

thf(f60957,plain,
    ( ~ spl0_469
    | ~ spl0_305
    | ~ spl0_304
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f60932,f51229,f23357,f24125,f35792]) ).

thf(f60961,definition,
    ( spl0_579
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_579])],[avatar_definition]) ).

thf(f60962,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_579 ),
    inference(avatar_component_clause,[],[f60961]) ).

thf(f60963,plain,
    ( ~ spl0_305
    | spl0_579
    | ~ spl0_304
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f60945,f42356,f23357,f60961,f24125]) ).

thf(f60966,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_414 ),
    inference(constrained_superposition,[],[f31114,f27635]) ).

thf(f60967,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_414 ),
    inference(constrained_superposition,[],[f31114,f2995]) ).

thf(f60974,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_414 ),
    inference(trivial_inequality_removal,[],[f60967]) ).

thf(f60979,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_414 ),
    inference(trivial_inequality_removal,[],[f60966]) ).

thf(f60983,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_364
    | ~ spl0_578 ),
    inference(constrained_superposition,[],[f60868,f27635]) ).

thf(f60991,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_578 ),
    inference(trivial_inequality_removal,[],[f60983]) ).

thf(f61015,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_364
    | ~ spl0_577 ),
    inference(constrained_superposition,[],[f60864,f27635]) ).

thf(f61030,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_577 ),
    inference(trivial_inequality_removal,[],[f61015]) ).

thf(f61122,definition,
    ( spl0_580
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_580])],[avatar_definition]) ).

thf(f61123,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_580 ),
    inference(avatar_component_clause,[],[f61122]) ).

thf(f61155,plain,
    ( ( z
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f59650,f59]) ).

thf(f61158,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f59650,f32]) ).

thf(f61160,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
          = $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f61158]) ).

thf(f61163,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( z
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f61155]) ).

thf(f61165,plain,
    ( spl0_451
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f61160,f458,f166,f33822]) ).

thf(f61169,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_491 ),
    inference(constrained_superposition,[],[f40883,f27628]) ).

thf(f61170,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_491 ),
    inference(constrained_superposition,[],[f40883,f2995]) ).

thf(f61178,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_491 ),
    inference(trivial_inequality_removal,[],[f61170]) ).

thf(f61179,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_491 ),
    inference(trivial_inequality_removal,[],[f61169]) ).

thf(f61186,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f38074,f36]) ).

thf(f61190,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f38074,f27648]) ).

thf(f61192,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f38074,f2996]) ).

thf(f61193,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f38074,f349]) ).

thf(f61194,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f38074,f60]) ).

thf(f61197,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61186]) ).

thf(f61199,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61193]) ).

thf(f61200,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61194]) ).

thf(f61201,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61192]) ).

thf(f61202,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61190]) ).

thf(f61205,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f61199,f39829]) ).

thf(f61206,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | spl0_195
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f61200,f28299]) ).

thf(f61215,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | spl0_195
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f61206,f2996]) ).

thf(f61223,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_195
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61215]) ).

thf(f61229,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | spl0_195
    | ~ spl0_367
    | spl0_395 ),
    inference(forward_subsumption_resolution,[],[f61223,f39832]) ).

thf(f61231,definition,
    ( spl0_581
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_581])],[avatar_definition]) ).

thf(f61232,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_581 ),
    inference(avatar_component_clause,[],[f61231]) ).

thf(f61233,plain,
    ( spl0_581
    | ~ spl0_95
    | spl0_195
    | ~ spl0_367
    | spl0_395 ),
    inference(avatar_split_clause,[],[f61229,f28670,f27647,f9369,f3370,f61231]) ).

thf(f61255,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(constrained_superposition,[],[f61205,f27648]) ).

thf(f61257,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(constrained_superposition,[],[f61205,f2996]) ).

thf(f61264,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(trivial_inequality_removal,[],[f61257]) ).

thf(f61268,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(trivial_inequality_removal,[],[f61255]) ).

thf(f61271,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367
    | spl0_392
    | spl0_395 ),
    inference(forward_subsumption_resolution,[],[f61264,f39832]) ).

thf(f61273,definition,
    ( spl0_582
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_582])],[avatar_definition]) ).

thf(f61274,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_582 ),
    inference(avatar_component_clause,[],[f61273]) ).

thf(f61275,plain,
    ( spl0_582
    | ~ spl0_305
    | ~ spl0_367
    | spl0_392 ),
    inference(avatar_split_clause,[],[f61268,f28658,f27647,f24125,f61273]) ).

thf(f61277,definition,
    ( spl0_583
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_583])],[avatar_definition]) ).

thf(f61278,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_583 ),
    inference(avatar_component_clause,[],[f61277]) ).

thf(f61279,plain,
    ( spl0_583
    | ~ spl0_110
    | ~ spl0_367
    | spl0_392
    | spl0_395 ),
    inference(avatar_split_clause,[],[f61271,f28670,f28658,f27647,f3663,f61277]) ).

thf(f61281,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_583 ),
    inference(constrained_superposition,[],[f61278,f36]) ).

thf(f61291,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_583 ),
    inference(trivial_inequality_removal,[],[f61281]) ).

thf(f61297,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_304
    | ~ spl0_582 ),
    inference(constrained_superposition,[],[f61274,f23358]) ).

thf(f61305,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_582 ),
    inference(trivial_inequality_removal,[],[f61297]) ).

thf(f61366,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f26,f3328]) ).

thf(f61370,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f61366]) ).

thf(f61391,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f61202,f36]) ).

thf(f61409,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f61391]) ).

thf(f61416,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_426 ),
    inference(constrained_superposition,[],[f31675,f23358]) ).

thf(f61418,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_426 ),
    inference(constrained_superposition,[],[f31675,f2996]) ).

thf(f61419,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_426 ),
    inference(constrained_superposition,[],[f31675,f349]) ).

thf(f61420,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_426 ),
    inference(constrained_superposition,[],[f31675,f60]) ).

thf(f61423,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_426 ),
    inference(trivial_inequality_removal,[],[f61419]) ).

thf(f61425,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_426 ),
    inference(trivial_inequality_removal,[],[f61418]) ).

thf(f61426,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_426 ),
    inference(trivial_inequality_removal,[],[f61420]) ).

thf(f61430,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_426 ),
    inference(trivial_inequality_removal,[],[f61416]) ).

thf(f61432,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_418
    | ~ spl0_426 ),
    inference(forward_subsumption_resolution,[],[f61423,f42726]) ).

thf(f61433,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_420
    | ~ spl0_426 ),
    inference(forward_subsumption_resolution,[],[f61425,f56677]) ).

thf(f61434,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | spl0_346
    | ~ spl0_426 ),
    inference(forward_subsumption_resolution,[],[f61426,f25484]) ).

thf(f61435,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_304
    | ~ spl0_367
    | ~ spl0_426 ),
    inference(forward_subsumption_resolution,[],[f61430,f27648]) ).

thf(f61436,plain,
    ( spl0_505
    | ~ spl0_468
    | spl0_418
    | ~ spl0_426 ),
    inference(avatar_split_clause,[],[f61432,f31674,f31348,f35753,f41415]) ).

thf(f61438,definition,
    ( spl0_585
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_585])],[avatar_definition]) ).

thf(f61439,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_585 ),
    inference(avatar_component_clause,[],[f61438]) ).

thf(f61440,plain,
    ( ~ spl0_439
    | spl0_585
    | spl0_420
    | ~ spl0_426 ),
    inference(avatar_split_clause,[],[f61433,f31674,f31355,f61438,f32768]) ).

thf(f61442,definition,
    ( spl0_586
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_586])],[avatar_definition]) ).

thf(f61443,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_586 ),
    inference(avatar_component_clause,[],[f61442]) ).

thf(f61444,plain,
    ( ~ spl0_436
    | spl0_586
    | spl0_346
    | ~ spl0_426 ),
    inference(avatar_split_clause,[],[f61434,f31674,f25483,f61442,f32674]) ).

thf(f61445,plain,
    ( spl0_580
    | ~ spl0_304
    | ~ spl0_367
    | ~ spl0_426 ),
    inference(avatar_split_clause,[],[f61435,f31674,f27647,f23357,f61122]) ).

thf(f61447,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_586 ),
    inference(constrained_superposition,[],[f61443,f2995]) ).

thf(f61458,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_586 ),
    inference(trivial_inequality_removal,[],[f61447]) ).

thf(f61511,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_460 ),
    inference(constrained_superposition,[],[f34276,f27628]) ).

thf(f61512,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_460 ),
    inference(constrained_superposition,[],[f34276,f2995]) ).

thf(f61520,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_460 ),
    inference(duplicate_literal_removal,[],[f61511]) ).

thf(f61521,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_460 ),
    inference(trivial_inequality_removal,[],[f61520]) ).

thf(f61523,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_460 ),
    inference(trivial_inequality_removal,[],[f61512]) ).

thf(f61529,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_316 ),
    inference(constrained_superposition,[],[f24164,f2995]) ).

thf(f61539,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_316 ),
    inference(trivial_inequality_removal,[],[f61529]) ).

thf(f61549,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_317 ),
    inference(constrained_superposition,[],[f24171,f23358]) ).

thf(f61553,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_317 ),
    inference(constrained_superposition,[],[f24171,f60]) ).

thf(f61556,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_317 ),
    inference(trivial_inequality_removal,[],[f61549]) ).

thf(f61559,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_317 ),
    inference(trivial_inequality_removal,[],[f61553]) ).

thf(f61565,plain,
    ( ~ spl0_396
    | spl0_415
    | ~ spl0_304
    | ~ spl0_317 ),
    inference(avatar_split_clause,[],[f61556,f24170,f23357,f31209,f28673]) ).

thf(f61566,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_317
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f61559,f25484]) ).

thf(f61568,definition,
    ( spl0_587
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_587])],[avatar_definition]) ).

thf(f61569,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_587 ),
    inference(avatar_component_clause,[],[f61568]) ).

thf(f61570,plain,
    ( spl0_587
    | ~ spl0_145
    | ~ spl0_317
    | spl0_346 ),
    inference(avatar_split_clause,[],[f61566,f25483,f24170,f4569,f61568]) ).

thf(f61576,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_427 ),
    inference(constrained_superposition,[],[f31682,f23358]) ).

thf(f61578,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_427 ),
    inference(constrained_superposition,[],[f31682,f2996]) ).

thf(f61579,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_427 ),
    inference(constrained_superposition,[],[f31682,f349]) ).

thf(f61580,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_427 ),
    inference(constrained_superposition,[],[f31682,f60]) ).

thf(f61583,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_427 ),
    inference(trivial_inequality_removal,[],[f61579]) ).

thf(f61584,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_427 ),
    inference(trivial_inequality_removal,[],[f61580]) ).

thf(f61588,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_427 ),
    inference(trivial_inequality_removal,[],[f61578]) ).

thf(f61591,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_427 ),
    inference(trivial_inequality_removal,[],[f61576]) ).

thf(f61592,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_418
    | ~ spl0_427 ),
    inference(forward_subsumption_resolution,[],[f61583,f42726]) ).

thf(f61593,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | spl0_346
    | ~ spl0_427 ),
    inference(forward_subsumption_resolution,[],[f61584,f25484]) ).

thf(f61595,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(forward_subsumption_resolution,[],[f61591,f27648]) ).

thf(f61597,definition,
    ( spl0_588
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_588])],[avatar_definition]) ).

thf(f61598,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_588 ),
    inference(avatar_component_clause,[],[f61597]) ).

thf(f61599,plain,
    ( spl0_588
    | ~ spl0_468
    | spl0_418
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f61592,f31681,f31348,f35753,f61597]) ).

thf(f61601,definition,
    ( spl0_589
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_589])],[avatar_definition]) ).

thf(f61602,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_589 ),
    inference(avatar_component_clause,[],[f61601]) ).

thf(f61603,plain,
    ( spl0_589
    | ~ spl0_436
    | spl0_346
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f61593,f31681,f25483,f32674,f61601]) ).

thf(f61605,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_589 ),
    inference(constrained_superposition,[],[f61602,f27635]) ).

thf(f61618,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_589 ),
    inference(trivial_inequality_removal,[],[f61605]) ).

thf(f61621,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_588 ),
    inference(constrained_superposition,[],[f61598,f27635]) ).

thf(f61625,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_588 ),
    inference(constrained_superposition,[],[f61598,f59]) ).

thf(f61630,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_588 ),
    inference(trivial_inequality_removal,[],[f61625]) ).

thf(f61631,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_588 ),
    inference(trivial_inequality_removal,[],[f61621]) ).

thf(f61654,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(constrained_superposition,[],[f61595,f27635]) ).

thf(f61668,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(trivial_inequality_removal,[],[f61654]) ).

thf(f61671,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_435 ),
    inference(constrained_superposition,[],[f32671,f2995]) ).

thf(f61680,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_435 ),
    inference(trivial_inequality_removal,[],[f61671]) ).

thf(f61687,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_318
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f24175,f27628]) ).

thf(f61695,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_318
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f61687]) ).

thf(f61709,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f59964,f27635]) ).

thf(f61711,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f59964,f349]) ).

thf(f61712,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f59964,f60]) ).

thf(f61715,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f61712]) ).

thf(f61717,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f61711]) ).

thf(f61718,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(duplicate_literal_removal,[],[f61709]) ).

thf(f61719,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f61718]) ).

thf(f61724,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | spl0_418 ),
    inference(forward_subsumption_resolution,[],[f61717,f42726]) ).

thf(f61725,plain,
    ( spl0_511
    | ~ spl0_362
    | spl0_418 ),
    inference(avatar_split_clause,[],[f61724,f31348,f27627,f42361]) ).

thf(f61733,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f61719,f2996]) ).

thf(f61735,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f61719,f60]) ).

thf(f61736,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f61735]) ).

thf(f61738,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f61733]) ).

thf(f61746,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(forward_subsumption_resolution,[],[f61736,f28299]) ).

thf(f61755,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f61746,f27628]) ).

thf(f61756,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f61746,f2996]) ).

thf(f61766,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f61756]) ).

thf(f61768,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f61755]) ).

thf(f61769,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | spl0_395 ),
    inference(forward_subsumption_resolution,[],[f61766,f39832]) ).

thf(f61770,plain,
    ( ~ spl0_428
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f61768,f27634,f27627,f9369,f31927]) ).

thf(f61771,plain,
    ( ~ spl0_145
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | spl0_395 ),
    inference(avatar_split_clause,[],[f61769,f28670,f27634,f27627,f9369,f4569]) ).

thf(f61772,plain,
    ( ~ spl0_95
    | spl0_324
    | spl0_415
    | ~ spl0_491 ),
    inference(avatar_split_clause,[],[f61178,f40882,f31209,f24589,f3370]) ).

thf(f61773,plain,
    ( ~ spl0_313
    | ~ spl0_396
    | ~ spl0_367
    | ~ spl0_554 ),
    inference(avatar_split_clause,[],[f59214,f50971,f27647,f28673,f24153]) ).

thf(f61775,plain,
    ( spl0_311
    | ~ spl0_312
    | spl0_395
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f59974,f27627,f28670,f24149,f24146]) ).

thf(f61777,plain,
    ( ~ spl0_308
    | ~ spl0_430
    | ~ spl0_364
    | ~ spl0_577 ),
    inference(avatar_split_clause,[],[f61030,f60863,f27634,f32398,f24136]) ).

thf(f61780,plain,
    ( ~ spl0_428
    | ~ spl0_312
    | ~ spl0_364
    | ~ spl0_589 ),
    inference(avatar_split_clause,[],[f61618,f61601,f27634,f24149,f31927]) ).

thf(f61783,plain,
    ( ~ spl0_308
    | spl0_416
    | spl0_195
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f59961,f27627,f9369,f31220,f24136]) ).

thf(f61785,plain,
    ( ~ spl0_371
    | ~ spl0_346
    | ~ spl0_35
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f59503,f24128,f511,f25483,f27743]) ).

thf(f61787,definition,
    ( spl0_590
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_590])],[avatar_definition]) ).

thf(f61788,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_590 ),
    inference(avatar_component_clause,[],[f61787]) ).

thf(f61789,plain,
    ( spl0_195
    | spl0_590
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f61200,f27647,f61787,f9369]) ).

thf(f61790,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_193
    | ~ spl0_217
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f60597,f9358]) ).

thf(f61792,definition,
    ( spl0_591
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_591])],[avatar_definition]) ).

thf(f61793,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_591 ),
    inference(avatar_component_clause,[],[f61792]) ).

thf(f61794,plain,
    ( spl0_395
    | spl0_591
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f61201,f27647,f61792,f28670]) ).

thf(f61796,definition,
    ( spl0_592
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_592])],[avatar_definition]) ).

thf(f61797,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_592 ),
    inference(avatar_component_clause,[],[f61796]) ).

thf(f61801,definition,
    ( spl0_593
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_593])],[avatar_definition]) ).

thf(f61802,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_593 ),
    inference(avatar_component_clause,[],[f61801]) ).

thf(f61803,plain,
    ( spl0_195
    | spl0_593
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f61736,f27634,f27627,f61801,f9369]) ).

thf(f61804,plain,
    ( ~ spl0_313
    | spl0_423
    | spl0_195
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f38088,f27647,f9369,f31369,f24153]) ).

thf(f61805,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(forward_subsumption_resolution,[],[f61668,f23358]) ).

thf(f61806,plain,
    ( ~ spl0_383
    | ~ spl0_395
    | ~ spl0_366
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f60606,f40938,f27642,f28670,f27996]) ).

thf(f61807,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f61163,f28]) ).

thf(f61809,plain,
    ( ~ spl0_195
    | ~ spl0_383
    | ~ spl0_35
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f58909,f27962,f511,f27996,f9369]) ).

thf(f61812,plain,
    ( ~ spl0_145
    | spl0_274
    | ~ spl0_95
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f60974,f31113,f3370,f19550,f4569]) ).

thf(f61814,definition,
    ( spl0_594
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_594])],[avatar_definition]) ).

thf(f61815,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_594 ),
    inference(avatar_component_clause,[],[f61814]) ).

thf(f61816,plain,
    ( spl0_594
    | spl0_395
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f61738,f27634,f27627,f28670,f61814]) ).

thf(f61817,plain,
    ( spl0_548
    | ~ spl0_372
    | ~ spl0_318
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f61695,f27627,f24174,f27943,f49996]) ).

thf(f61818,plain,
    ( spl0_425
    | ~ spl0_312
    | ~ spl0_362
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f60519,f27973,f27627,f24149,f31670]) ).

thf(f61819,plain,
    ( spl0_425
    | ~ spl0_110
    | spl0_324
    | ~ spl0_435 ),
    inference(avatar_split_clause,[],[f61680,f32670,f24589,f3663,f31670]) ).

thf(f61820,plain,
    ( spl0_383
    | ~ spl0_4
    | spl0_538
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f60374,f33476,f46275,f97,f27996]) ).

thf(f61822,plain,
    ( spl0_373
    | ~ spl0_439
    | spl0_420
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f61588,f31681,f31355,f32768,f27946]) ).

thf(f61824,plain,
    ( ~ spl0_312
    | ~ spl0_569
    | ~ spl0_364
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f61631,f61597,f27634,f54931,f24149]) ).

thf(f61825,plain,
    ( spl0_324
    | ~ spl0_99
    | spl0_425
    | ~ spl0_453 ),
    inference(avatar_split_clause,[],[f60834,f33981,f31670,f3385,f24589]) ).

thf(f61826,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_31
    | ~ spl0_583 ),
    inference(forward_subsumption_resolution,[],[f61291,f459]) ).

thf(f61827,plain,
    ( spl0_324
    | ~ spl0_95
    | spl0_425
    | ~ spl0_460 ),
    inference(avatar_split_clause,[],[f61523,f34275,f31670,f3370,f24589]) ).

thf(f61828,plain,
    ( ~ spl0_569
    | ~ spl0_301
    | ~ spl0_304
    | ~ spl0_582 ),
    inference(avatar_split_clause,[],[f61305,f61273,f23357,f23347,f54931]) ).

thf(f61832,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_362
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f60541,f27955,f27627,f24149,f23347]) ).

thf(f61833,plain,
    ( ~ spl0_569
    | ~ spl0_308
    | ~ spl0_364
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f60991,f60867,f27634,f24136,f54931]) ).

thf(f61834,plain,
    ( ~ spl0_381
    | spl0_548
    | ~ spl0_362
    | ~ spl0_491 ),
    inference(avatar_split_clause,[],[f61179,f40882,f27627,f49996,f27981]) ).

thf(f61839,plain,
    ( spl0_274
    | ~ spl0_145
    | ~ spl0_110
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f61458,f61442,f3663,f4569,f19550]) ).

thf(f61841,plain,
    ( ~ spl0_195
    | ~ spl0_383
    | ~ spl0_224
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f60598,f27642,f11966,f27996,f9369]) ).

thf(f61844,definition,
    ( spl0_596
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_596])],[avatar_definition]) ).

thf(f61845,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_596 ),
    inference(avatar_component_clause,[],[f61844]) ).

thf(f61846,plain,
    ( ~ spl0_381
    | spl0_596
    | ~ spl0_362
    | ~ spl0_460 ),
    inference(avatar_split_clause,[],[f61521,f34275,f27627,f61844,f27981]) ).

thf(f61847,plain,
    ( ~ spl0_308
    | ~ spl0_428
    | ~ spl0_364
    | ~ spl0_414 ),
    inference(avatar_split_clause,[],[f60979,f31113,f27634,f31927,f24136]) ).

thf(f61848,plain,
    ( ~ spl0_308
    | ~ spl0_312
    | ~ spl0_362
    | ~ spl0_554 ),
    inference(avatar_split_clause,[],[f59977,f50971,f27627,f24149,f24136]) ).

thf(f61855,plain,
    ( ~ spl0_32
    | ~ spl0_145
    | spl0_383
    | ~ spl0_588 ),
    inference(avatar_split_clause,[],[f61630,f61597,f27996,f4569,f490]) ).

thf(f61856,plain,
    ( ~ spl0_110
    | spl0_415
    | spl0_324
    | ~ spl0_316 ),
    inference(avatar_split_clause,[],[f61539,f24163,f24589,f31209,f3663]) ).

thf(f61859,plain,
    ( ~ spl0_195
    | ~ spl0_193
    | ~ spl0_217
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f61790,f27642,f11266,f9357,f9369]) ).

thf(f61860,plain,
    ( ~ spl0_312
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(avatar_split_clause,[],[f61805,f31681,f27647,f27634,f23357,f24149]) ).

thf(f61861,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f143]) ).

thf(f61862,plain,
    ( spl0_20
    | spl0_10
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f61807,f458,f166,f143,f387]) ).

thf(f61864,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_31
    | spl0_196
    | ~ spl0_583 ),
    inference(forward_subsumption_resolution,[],[f61826,f9374]) ).

thf(f61865,plain,
    ( ~ spl0_99
    | ~ spl0_31
    | spl0_196
    | ~ spl0_583 ),
    inference(avatar_split_clause,[],[f61864,f61277,f9373,f458,f3385]) ).

thf(f61867,plain,
    ( spl0_374
    | spl0_346
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f61715,f27627,f25483,f27951]) ).

thf(f61903,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f61370,f3367]) ).

thf(f61905,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_94
    | ~ spl0_222 ),
    inference(constrained_superposition,[],[f11782,f3367]) ).

thf(f61906,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f43,f3367]) ).

thf(f61907,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f26,f3367]) ).

thf(f61908,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f61907]) ).

thf(f61909,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_222 ),
    inference(trivial_inequality_removal,[],[f61905]) ).

thf(f61911,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f61906]) ).

thf(f61912,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f61903]) ).

thf(f61913,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_94
    | ~ spl0_222 ),
    inference(forward_subsumption_resolution,[],[f61909,f61861]) ).

thf(f61914,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_94
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f61911,f3386]) ).

thf(f61915,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_24
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(forward_subsumption_resolution,[],[f61912,f402]) ).

thf(f61916,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_94
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f61913,f11781,f3366,f143,f139]) ).

thf(f61917,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_94
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f61914,f61861]) ).

thf(f61918,plain,
    ( spl0_47
    | ~ spl0_24
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f61915,f3366,f3327,f401,f742]) ).

thf(f61919,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_94
    | spl0_99 ),
    inference(avatar_split_clause,[],[f61917,f3385,f3366,f143,f139]) ).

thf(f61921,definition,
    ( spl0_598
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_598])],[avatar_definition]) ).

thf(f61922,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_598 ),
    inference(avatar_component_clause,[],[f61921]) ).

thf(f61923,plain,
    ( ~ spl0_345
    | spl0_192
    | spl0_598
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f61409,f27647,f61921,f9353,f25306]) ).

thf(f61926,definition,
    ( spl0_599
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_599])],[avatar_definition]) ).

thf(f61927,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_599 ),
    inference(avatar_component_clause,[],[f61926]) ).

thf(f61928,plain,
    ( spl0_392
    | spl0_599
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f61199,f27647,f61926,f28658]) ).

thf(f61933,plain,
    ( ~ spl0_104
    | ~ spl0_345
    | spl0_192
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f60540,f27955,f9353,f25306,f3594]) ).

thf(f61934,plain,
    ( ~ spl0_305
    | spl0_377
    | ~ spl0_58
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f60204,f27647,f869,f27962,f24125]) ).

thf(f61936,definition,
    ( spl0_600
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_600])],[avatar_definition]) ).

thf(f61937,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_600 ),
    inference(avatar_component_clause,[],[f61936]) ).

thf(f61938,plain,
    ( spl0_192
    | spl0_600
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f61197,f27647,f61936,f9353]) ).

thf(f61957,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f59730,f9427]) ).

thf(f61962,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f61957]) ).

thf(f61966,plain,
    ( spl0_309
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f61962,f9426,f458,f166,f24139]) ).

thf(f62063,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(constrained_superposition,[],[f44637,f28671]) ).

thf(f62067,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(trivial_inequality_removal,[],[f62063]) ).

thf(f62071,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_90
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[],[f62067,f3352]) ).

thf(f62072,plain,
    ( $false
    | ~ spl0_90
    | ~ spl0_100
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[],[f62071,f3414]) ).

thf(f62073,plain,
    ( ~ spl0_90
    | ~ spl0_100
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(avatar_contradiction_clause,[],[f62072]) ).

thf(f62076,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_370
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f28198,f60256]) ).

thf(f62077,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_371
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f31240,f60256]) ).

thf(f62081,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( z
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
          = ( s @ z ) )
        | ( $true != $true ) )
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f9388,f60256]) ).

thf(f62084,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( $true != $true )
    | spl0_20
    | ~ spl0_570 ),
    inference(constrained_superposition,[],[f737,f60256]) ).

thf(f62092,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_20
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f62084]) ).

thf(f62093,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_370
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f62076]) ).

thf(f62094,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_371
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f62077]) ).

thf(f62097,plain,
    ( ! [X0: $i] :
        ( ( z
          = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
          = ( s @ z ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(trivial_inequality_removal,[],[f62081]) ).

thf(f62098,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_20
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62092,f28]) ).

thf(f62099,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_196
    | spl0_370
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62093,f9374]) ).

thf(f62100,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_360
    | spl0_371
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62094,f27594]) ).

thf(f62101,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
          = ( s @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62097,f28]) ).

thf(f62102,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ z ) )
    | spl0_20
    | spl0_23
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62098,f2236]) ).

thf(f62103,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_196
    | spl0_370
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62099,f28]) ).

thf(f62104,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_360
    | spl0_371
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62100,f28]) ).

thf(f62105,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
          = ( s @ z ) ) )
    | spl0_196
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(forward_subsumption_resolution,[],[f62101,f9374]) ).

thf(f62106,plain,
    ( spl0_36
    | spl0_20
    | spl0_23
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f62102,f55286,f397,f387,f517]) ).

thf(f62107,plain,
    ( spl0_243
    | spl0_196
    | spl0_370
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f62103,f55286,f27739,f9373,f13446]) ).

thf(f62108,plain,
    ( spl0_351
    | spl0_360
    | spl0_371
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f62104,f55286,f27743,f27593,f25587]) ).

thf(f62109,plain,
    ( spl0_224
    | spl0_243
    | spl0_196
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(avatar_split_clause,[],[f62105,f55286,f9387,f9373,f13446,f11966]) ).

thf(f62190,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_401 ),
    inference(constrained_superposition,[],[f29119,f27643]) ).

thf(f62191,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_401 ),
    inference(trivial_inequality_removal,[],[f62190]) ).

thf(f62195,plain,
    ( $false
    | ~ spl0_315
    | ~ spl0_366
    | ~ spl0_401 ),
    inference(forward_subsumption_resolution,[],[f62191,f24161]) ).

thf(f62196,plain,
    ( ~ spl0_315
    | ~ spl0_366
    | ~ spl0_401 ),
    inference(avatar_contradiction_clause,[],[f62195]) ).

thf(f62274,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(constrained_superposition,[],[f31370,f27648]) ).

thf(f62292,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(trivial_inequality_removal,[],[f62274]) ).

thf(f62301,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_559 ),
    inference(constrained_superposition,[],[f51240,f27648]) ).

thf(f62317,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_559 ),
    inference(trivial_inequality_removal,[],[f62301]) ).

thf(f62320,plain,
    ( ~ spl0_388
    | ~ spl0_372
    | ~ spl0_367
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f62317,f51239,f27647,f27943,f28279]) ).

thf(f62337,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_598 ),
    inference(constrained_superposition,[],[f61922,f27648]) ).

thf(f62354,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_598 ),
    inference(trivial_inequality_removal,[],[f62337]) ).

thf(f62358,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f61908,f28671]) ).

thf(f62361,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f62358]) ).

thf(f62368,plain,
    ( spl0_465
    | ~ spl0_383
    | ~ spl0_94
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f62361,f28670,f3366,f27996,f34835]) ).

thf(f62369,plain,
    ( ~ spl0_365
    | ~ spl0_388
    | ~ spl0_367
    | ~ spl0_598 ),
    inference(avatar_split_clause,[],[f62354,f61921,f27647,f28279,f27639]) ).

thf(f62371,plain,
    ( ~ spl0_436
    | ~ spl0_381
    | ~ spl0_367
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f62292,f31369,f27647,f27981,f32674]) ).

thf(f62572,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_583 ),
    inference(constrained_superposition,[],[f61278,f23348]) ).

thf(f62590,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_583 ),
    inference(trivial_inequality_removal,[],[f62572]) ).

thf(f62609,plain,
    ( ~ spl0_430
    | ~ spl0_569
    | ~ spl0_301
    | ~ spl0_583 ),
    inference(avatar_split_clause,[],[f62590,f61277,f23347,f54931,f32398]) ).

thf(f62703,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_223 ),
    inference(constrained_superposition,[],[f28687,f137]) ).

thf(f62714,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_99 ),
    inference(constrained_superposition,[],[f3386,f137]) ).

thf(f62720,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_99 ),
    inference(trivial_inequality_removal,[],[f62714]) ).

thf(f62724,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_223 ),
    inference(trivial_inequality_removal,[],[f62703]) ).

thf(f62739,plain,
    ( $false
    | ~ spl0_8
    | spl0_90
    | spl0_99 ),
    inference(forward_subsumption_resolution,[],[f62720,f3858]) ).

thf(f62740,plain,
    ( ~ spl0_8
    | spl0_90
    | spl0_99 ),
    inference(avatar_contradiction_clause,[],[f62739]) ).

thf(f62742,plain,
    ( $false
    | ~ spl0_8
    | spl0_192
    | spl0_223 ),
    inference(forward_subsumption_resolution,[],[f62724,f9354]) ).

thf(f62743,plain,
    ( ~ spl0_8
    | spl0_192
    | spl0_223 ),
    inference(avatar_contradiction_clause,[],[f62742]) ).

thf(f62775,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_335
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f25012,f27625]) ).

thf(f62779,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_335
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f62775]) ).

thf(f62791,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_537 ),
    inference(constrained_superposition,[],[f46237,f23358]) ).

thf(f62808,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_537 ),
    inference(trivial_inequality_removal,[],[f62791]) ).

thf(f62810,plain,
    ( ~ spl0_308
    | ~ spl0_424
    | ~ spl0_304
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f62808,f46236,f23357,f31534,f24136]) ).

thf(f62814,plain,
    ( spl0_315
    | spl0_341
    | ~ spl0_31
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f57589,f51515,f458,f25101,f24160]) ).

thf(f62816,plain,
    ( spl0_377
    | spl0_376
    | ~ spl0_31
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f60381,f33476,f458,f27959,f27962]) ).

thf(f62820,plain,
    ( ~ spl0_31
    | spl0_315
    | ~ spl0_163
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f60066,f46162,f5933,f24160,f458]) ).

thf(f62855,plain,
    ( ( $true != $true )
    | ~ spl0_66
    | spl0_192 ),
    inference(constrained_superposition,[],[f9354,f1218]) ).

thf(f62856,plain,
    ( ( $true != $true )
    | ~ spl0_66
    | spl0_90 ),
    inference(constrained_superposition,[],[f3858,f1218]) ).

thf(f62859,plain,
    ( $false
    | ~ spl0_66
    | spl0_192 ),
    inference(trivial_inequality_removal,[],[f62855]) ).

thf(f62860,plain,
    ( ~ spl0_66
    | spl0_192 ),
    inference(avatar_contradiction_clause,[],[f62859]) ).

thf(f62862,plain,
    ( $false
    | ~ spl0_66
    | spl0_90 ),
    inference(trivial_inequality_removal,[],[f62856]) ).

thf(f62863,plain,
    ( ~ spl0_66
    | spl0_90 ),
    inference(avatar_contradiction_clause,[],[f62862]) ).

thf(f62865,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f62866,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f62865]) ).

thf(f62964,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(constrained_superposition,[],[f50691,f9397]) ).

thf(f62971,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(trivial_inequality_removal,[],[f62964]) ).

thf(f63086,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_367
    | ~ spl0_563 ),
    inference(constrained_superposition,[],[f51974,f27648]) ).

thf(f63097,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_563 ),
    inference(trivial_inequality_removal,[],[f63086]) ).

thf(f63172,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_596 ),
    inference(constrained_superposition,[],[f61845,f36]) ).

thf(f63176,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_596 ),
    inference(constrained_superposition,[],[f61845,f2996]) ).

thf(f63183,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_596 ),
    inference(trivial_inequality_removal,[],[f63172]) ).

thf(f63184,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_596 ),
    inference(trivial_inequality_removal,[],[f63176]) ).

thf(f63187,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_420
    | ~ spl0_596 ),
    inference(forward_subsumption_resolution,[],[f63184,f56677]) ).

thf(f63188,plain,
    ( ~ spl0_439
    | spl0_420
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f63187,f61844,f31355,f32768]) ).

thf(f63299,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(forward_subsumption_resolution,[],[f62971,f77]) ).

thf(f63300,plain,
    ( spl0_360
    | ~ spl0_388
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f63183,f61844,f28279,f27593]) ).

thf(f63301,plain,
    ( ~ spl0_393
    | ~ spl0_388
    | ~ spl0_367
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f63097,f51973,f27647,f28279,f28663]) ).

thf(f63303,plain,
    ( ~ spl0_10
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(avatar_split_clause,[],[f63299,f50690,f9396,f76,f143]) ).

thf(f63304,plain,
    ( ~ spl0_306
    | ~ spl0_346
    | ~ spl0_335
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f62779,f27624,f25011,f25483,f24128]) ).

thf(f63305,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(avatar_split_clause,[],[f62971,f50690,f9396,f143,f76]) ).

thf(f63316,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f26,f61861]) ).

thf(f63317,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f63316]) ).

thf(f63320,plain,
    ( spl0_246
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f63317,f143,f13870]) ).

thf(f63394,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f4016,f3414]) ).

thf(f63395,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f4016,f35]) ).

thf(f63398,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f63394]) ).

thf(f63399,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f63395]) ).

thf(f63400,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f63398,f61861]) ).

thf(f63401,plain,
    ( ~ spl0_10
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f63400]) ).

thf(f63402,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | spl0_99
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f63399,f3386]) ).

thf(f63403,plain,
    ( $false
    | ~ spl0_10
    | spl0_99
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f63402,f61861]) ).

thf(f63404,plain,
    ( ~ spl0_10
    | spl0_99
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f63403]) ).

thf(f63417,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f63418,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f63417]) ).

thf(f63442,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f43,f19551]) ).

thf(f63443,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f26,f19551]) ).

thf(f63444,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f63443]) ).

thf(f63445,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f63442]) ).

thf(f63464,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f32]) ).

thf(f63467,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f59]) ).

thf(f63470,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f63467]) ).

thf(f63471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f63464]) ).

thf(f63540,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f13033,f23355]) ).

thf(f63542,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f43,f23355]) ).

thf(f63546,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f63542]) ).

thf(f63547,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f63540]) ).

thf(f63634,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_364
    | ~ spl0_576 ),
    inference(constrained_superposition,[],[f60739,f27635]) ).

thf(f63650,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_576 ),
    inference(trivial_inequality_removal,[],[f63634]) ).

thf(f63652,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_576 ),
    inference(forward_subsumption_resolution,[],[f63650,f24555]) ).

thf(f63653,plain,
    ( ~ spl0_428
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f63652,f60738,f27634,f24554,f31927]) ).

thf(f63657,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_203
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f9412,f27625]) ).

thf(f63659,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f63657]) ).

thf(f63699,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f25298,f9401]) ).

thf(f63702,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f63699]) ).

thf(f63723,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_23
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f63418,f28659]) ).

thf(f63727,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f63723]) ).

thf(f63728,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_23
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f63727,f9370]) ).

thf(f63731,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f63727,f27625]) ).

thf(f63733,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f63731]) ).

thf(f63735,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f63728]) ).

thf(f63736,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f63733,f24129]) ).

thf(f63737,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_23
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f63735,f77]) ).

thf(f63738,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f63736,f39259]) ).

thf(f63739,plain,
    ( ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f63738]) ).

thf(f63740,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f63737,f402]) ).

thf(f63741,plain,
    ( ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f63740]) ).

thf(f63742,plain,
    ( ~ spl0_348
    | spl0_466
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f63547,f23354,f13032,f34842,f25491]) ).

thf(f63745,plain,
    ( ~ spl0_360
    | ~ spl0_371
    | ~ spl0_203
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f63659,f27624,f9411,f27743,f27593]) ).

thf(f63753,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_6
    | spl0_94 ),
    inference(constrained_superposition,[],[f3550,f125]) ).

thf(f63755,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_6
    | ~ spl0_279 ),
    inference(constrained_superposition,[],[f20073,f125]) ).

thf(f63762,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_6
    | ~ spl0_279 ),
    inference(trivial_inequality_removal,[],[f63755]) ).

thf(f63764,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_6
    | spl0_94 ),
    inference(trivial_inequality_removal,[],[f63753]) ).

thf(f63766,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_6
    | spl0_23
    | ~ spl0_279 ),
    inference(forward_subsumption_resolution,[],[f63762,f2236]) ).

thf(f63767,plain,
    ( $false
    | ~ spl0_6
    | spl0_90
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f63764,f3858]) ).

thf(f63768,plain,
    ( ~ spl0_6
    | spl0_90
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f63767]) ).

thf(f63769,plain,
    ( spl0_35
    | ~ spl0_6
    | spl0_23
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f63766,f20072,f397,f124,f511]) ).

thf(f63770,plain,
    ( ~ spl0_348
    | spl0_206
    | spl0_466
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f63546,f23354,f34842,f9426,f25491]) ).

thf(f63771,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f26,f77]) ).

thf(f63772,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f63771]) ).

thf(f63784,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f63470,f9427]) ).

thf(f63788,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f63784]) ).

thf(f63789,plain,
    ( spl0_370
    | ~ spl0_19
    | ~ spl0_14
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f63788,f9426,f223,f278,f27739]) ).

thf(f63811,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_223
    | ~ spl0_585 ),
    inference(constrained_superposition,[],[f61439,f11806]) ).

thf(f63818,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_585 ),
    inference(trivial_inequality_removal,[],[f63811]) ).

thf(f63842,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f63772,f402]) ).

thf(f63845,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f63842]) ).

thf(f63893,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_378 ),
    inference(constrained_superposition,[],[f27967,f27640]) ).

thf(f63896,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_341
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f25102,f27640]) ).

thf(f63897,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_560 ),
    inference(constrained_superposition,[],[f51516,f27640]) ).

thf(f63898,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_581 ),
    inference(constrained_superposition,[],[f61232,f27640]) ).

thf(f63918,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_341
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f63896]) ).

thf(f63921,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_378 ),
    inference(duplicate_literal_removal,[],[f63893]) ).

thf(f63922,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_378 ),
    inference(trivial_inequality_removal,[],[f63921]) ).

thf(f63923,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_560 ),
    inference(trivial_inequality_removal,[],[f63897]) ).

thf(f63924,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_581 ),
    inference(trivial_inequality_removal,[],[f63898]) ).

thf(f63932,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_341
    | ~ spl0_365 ),
    inference(forward_subsumption_resolution,[],[f63918,f11806]) ).

thf(f63933,plain,
    ( spl0_544
    | ~ spl0_396
    | ~ spl0_365
    | ~ spl0_378 ),
    inference(avatar_split_clause,[],[f63922,f27966,f27639,f28673,f47456]) ).

thf(f63934,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_560 ),
    inference(forward_subsumption_resolution,[],[f63923,f11806]) ).

thf(f63935,plain,
    ( ~ spl0_439
    | ~ spl0_436
    | ~ spl0_365
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f63924,f61231,f27639,f32674,f32768]) ).

thf(f63938,plain,
    ( ~ spl0_393
    | ~ spl0_223
    | ~ spl0_341
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f63932,f27639,f25101,f11805,f28663]) ).

thf(f63939,plain,
    ( spl0_562
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f63934,f51515,f27639,f11805,f51540]) ).

thf(f63940,plain,
    ( ~ spl0_23
    | ~ spl0_10
    | ~ spl0_196
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f63702,f25297,f9373,f143,f397]) ).

thf(f63950,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f63772,f61861]) ).

thf(f63953,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f63950]) ).

thf(f63957,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f63953,f143,f76,f236]) ).

thf(f63986,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f26,f19532]) ).

thf(f63988,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f63986]) ).

thf(f64039,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f26,f27643]) ).

thf(f64041,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f64039]) ).

thf(f64043,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_199
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f9388,f27651]) ).

thf(f64045,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_203
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f9412,f27651]) ).

thf(f64046,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_335
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f25012,f27651]) ).

thf(f64048,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64045]) ).

thf(f64049,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_335
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64046]) ).

thf(f64050,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_199
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64043]) ).

thf(f64053,plain,
    ( spl0_385
    | ~ spl0_199
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f64050,f27650,f9387,f28185]) ).

thf(f64094,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_581 ),
    inference(constrained_superposition,[],[f61232,f23348]) ).

thf(f64119,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_581 ),
    inference(trivial_inequality_removal,[],[f64094]) ).

thf(f64159,plain,
    ( ~ spl0_430
    | ~ spl0_428
    | ~ spl0_301
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f64119,f61231,f23347,f31927,f32398]) ).

thf(f64203,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_321
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f24460,f27651]) ).

thf(f64208,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_321
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64203]) ).

thf(f64444,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_553 ),
    inference(constrained_superposition,[],[f50968,f60]) ).

thf(f64445,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_553 ),
    inference(trivial_inequality_removal,[],[f64444]) ).

thf(f64486,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_562 ),
    inference(constrained_superposition,[],[f51541,f2996]) ).

thf(f64496,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_562 ),
    inference(trivial_inequality_removal,[],[f64486]) ).

thf(f64521,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_206
    | ~ spl0_549 ),
    inference(constrained_superposition,[],[f50001,f9427]) ).

thf(f64524,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_549 ),
    inference(trivial_inequality_removal,[],[f64521]) ).

thf(f64565,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_322
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f24541,f27632]) ).

thf(f64570,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_322
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f64565]) ).

thf(f64573,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_385
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f28186,f28659]) ).

thf(f64576,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_385
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f64573]) ).

thf(f64641,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_223
    | ~ spl0_580 ),
    inference(constrained_superposition,[],[f61123,f11806]) ).

thf(f64649,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_223
    | ~ spl0_580 ),
    inference(trivial_inequality_removal,[],[f64641]) ).

thf(f64651,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f62866,f35]) ).

thf(f64652,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f62866,f27651]) ).

thf(f64654,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_196
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f62866,f19532]) ).

thf(f64655,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f64651]) ).

thf(f64656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64652]) ).

thf(f64658,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f64654]) ).

thf(f64659,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f64658,f9397]) ).

thf(f64663,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f64659]) ).

thf(f64668,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f64663,f77]) ).

thf(f64669,plain,
    ( ~ spl0_87
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f64668,f19531,f9396,f9373,f76,f3341]) ).

thf(f64672,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f64656,f28659]) ).

thf(f64674,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f64672]) ).

thf(f64718,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_375 ),
    inference(constrained_superposition,[],[f27956,f60]) ).

thf(f64720,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_375 ),
    inference(trivial_inequality_removal,[],[f64718]) ).

thf(f64750,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_592 ),
    inference(constrained_superposition,[],[f61797,f2996]) ).

thf(f64756,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_592 ),
    inference(trivial_inequality_removal,[],[f64750]) ).

thf(f64761,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_420
    | ~ spl0_592 ),
    inference(forward_subsumption_resolution,[],[f64756,f56677]) ).

thf(f64762,plain,
    ( ~ spl0_439
    | ~ spl0_95
    | spl0_420
    | ~ spl0_592 ),
    inference(avatar_split_clause,[],[f64761,f61796,f31355,f3370,f32768]) ).

thf(f64803,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_513 ),
    inference(constrained_superposition,[],[f42647,f2995]) ).

thf(f64815,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_513 ),
    inference(trivial_inequality_removal,[],[f64803]) ).

thf(f64820,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_324
    | ~ spl0_513 ),
    inference(forward_subsumption_resolution,[],[f64815,f32483]) ).

thf(f64821,plain,
    ( ~ spl0_469
    | ~ spl0_110
    | spl0_324
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f64820,f42646,f24589,f3663,f35792]) ).

thf(f64823,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_579 ),
    inference(constrained_superposition,[],[f60962,f36]) ).

thf(f64832,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_579 ),
    inference(trivial_inequality_removal,[],[f64823]) ).

thf(f64871,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_273
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f63988,f27651]) ).

thf(f64878,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64871]) ).

thf(f64879,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f64878,f19551]) ).

thf(f64880,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f64879,f35]) ).

thf(f64882,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f64879,f27643]) ).

thf(f64884,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64882]) ).

thf(f64887,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f64880]) ).

thf(f65749,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f63444,f27632]) ).

thf(f65750,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f63444,f27643]) ).

thf(f65753,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f65749]) ).

thf(f65754,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f65750]) ).

thf(f65776,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_580 ),
    inference(forward_subsumption_resolution,[],[f64649,f9427]) ).

thf(f65777,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_360
    | ~ spl0_579 ),
    inference(forward_subsumption_resolution,[],[f64832,f27594]) ).

thf(f65778,plain,
    ( spl0_495
    | ~ spl0_324
    | ~ spl0_274
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f65753,f27631,f19550,f24589,f40918]) ).

thf(f65782,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_203
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f64048,f9401]) ).

thf(f65783,plain,
    ( ~ spl0_99
    | ~ spl0_63
    | ~ spl0_223
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f63818,f61438,f11805,f1029,f3385]) ).

thf(f65785,plain,
    ( spl0_195
    | ~ spl0_145
    | ~ spl0_443
    | ~ spl0_375 ),
    inference(avatar_split_clause,[],[f64720,f27955,f33721,f4569,f9369]) ).

thf(f65786,plain,
    ( ~ spl0_310
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f64884,f27650,f27642,f19550,f19531,f24143]) ).

thf(f65790,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | ~ spl0_206
    | ~ spl0_549 ),
    inference(avatar_split_clause,[],[f64524,f50000,f9426,f3385,f1029]) ).

thf(f65794,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_395
    | ~ spl0_562 ),
    inference(forward_subsumption_resolution,[],[f64496,f39832]) ).

thf(f65798,plain,
    ( ~ spl0_63
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_580 ),
    inference(avatar_split_clause,[],[f65776,f61122,f11805,f9426,f1029]) ).

thf(f65799,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_206
    | spl0_360
    | ~ spl0_579 ),
    inference(forward_subsumption_resolution,[],[f65777,f9427]) ).

thf(f65800,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_203
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f65782,f27650,f9411,f9373,f27739]) ).

thf(f65802,plain,
    ( ~ spl0_99
    | ~ spl0_469
    | spl0_395
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f65794,f51540,f28670,f35792,f3385]) ).

thf(f65803,plain,
    ( ~ spl0_63
    | ~ spl0_206
    | spl0_360
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f65799,f60961,f27593,f9426,f1029]) ).

thf(f65805,plain,
    ( ~ spl0_309
    | ~ spl0_200
    | ~ spl0_335
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f64049,f27650,f25011,f9396,f24139]) ).

thf(f65806,plain,
    ( spl0_223
    | spl0_103
    | ~ spl0_100
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f63445,f19550,f3413,f3425,f11805]) ).

thf(f65809,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f64887,f27650,f19550,f19531,f11805,f3413]) ).

thf(f65814,plain,
    ( ~ spl0_145
    | ~ spl0_4
    | spl0_195
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f64445,f50967,f9369,f97,f4569]) ).

thf(f65815,plain,
    ( ~ spl0_23
    | ~ spl0_315
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f64674,f28658,f27650,f9373,f24160,f397]) ).

thf(f65816,plain,
    ( ~ spl0_395
    | ~ spl0_321
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f64208,f27650,f24459,f28670]) ).

thf(f65817,plain,
    ( ~ spl0_195
    | ~ spl0_377
    | ~ spl0_322
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f64570,f27631,f24540,f27962,f9369]) ).

thf(f65818,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_385
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f64576,f402]) ).

thf(f65819,plain,
    ( ~ spl0_315
    | ~ spl0_24
    | ~ spl0_385
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f65818,f28658,f28185,f401,f24160]) ).

thf(f65820,plain,
    ( ~ spl0_273
    | spl0_321
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f65754,f27642,f19550,f24459,f19531]) ).

thf(f65846,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_87
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f13871,f3342]) ).

thf(f65855,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_87
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f65846]) ).

thf(f65856,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_87
    | ~ spl0_100
    | ~ spl0_246 ),
    inference(forward_subsumption_resolution,[],[f65855,f3414]) ).

thf(f65857,plain,
    ( spl0_103
    | ~ spl0_87
    | ~ spl0_100
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f65856,f13870,f3413,f3341,f3425]) ).

thf(f65921,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f31,f24555]) ).

thf(f65922,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f65921]) ).

thf(f65963,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_363
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f27632]) ).

thf(f65964,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_366
    | ~ spl0_386 ),
    inference(constrained_superposition,[],[f28191,f27643]) ).

thf(f65966,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_363
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f65963]) ).

thf(f65968,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_386 ),
    inference(trivial_inequality_removal,[],[f65964]) ).

thf(f65971,plain,
    ( $false
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f65966,f39259]) ).

thf(f65972,plain,
    ( ~ spl0_360
    | ~ spl0_363
    | ~ spl0_386 ),
    inference(avatar_contradiction_clause,[],[f65971]) ).

thf(f65973,plain,
    ( $false
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_386 ),
    inference(forward_subsumption_resolution,[],[f65968,f9401]) ).

thf(f65974,plain,
    ( ~ spl0_196
    | ~ spl0_366
    | ~ spl0_386 ),
    inference(avatar_contradiction_clause,[],[f65973]) ).

thf(f66194,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(constrained_superposition,[],[f24541,f23355]) ).

thf(f66199,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(trivial_inequality_removal,[],[f66194]) ).

thf(f66210,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(constrained_superposition,[],[f512,f398]) ).

thf(f66212,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(trivial_inequality_removal,[],[f66210]) ).

thf(f66215,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f66212,f77]) ).

thf(f66216,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f66215,f61861]) ).

thf(f66217,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(avatar_contradiction_clause,[],[f66216]) ).

thf(f66218,plain,
    ( ~ spl0_309
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_322 ),
    inference(avatar_split_clause,[],[f66199,f24540,f23354,f9396,f24139]) ).

thf(f66274,plain,
    ( spl0_552
    | spl0_206
    | ~ spl0_196 ),
    inference(avatar_split_clause,[],[f64655,f9373,f9426,f50690]) ).

thf(f66306,plain,
    ( ( $true != $true )
    | ~ spl0_66
    | spl0_360 ),
    inference(constrained_superposition,[],[f27594,f1218]) ).

thf(f66310,plain,
    ( $false
    | ~ spl0_66
    | spl0_360 ),
    inference(trivial_inequality_removal,[],[f66306]) ).

thf(f66311,plain,
    ( ~ spl0_66
    | spl0_360 ),
    inference(avatar_contradiction_clause,[],[f66310]) ).

thf(f66387,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_319
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f24320,f27651]) ).

thf(f66391,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f26,f27651]) ).

thf(f66392,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f66391]) ).

thf(f66393,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_319
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f66387]) ).

thf(f66397,plain,
    ( $false
    | ~ spl0_192
    | ~ spl0_319
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f66393,f29197]) ).

thf(f66398,plain,
    ( ~ spl0_192
    | ~ spl0_319
    | ~ spl0_368 ),
    inference(avatar_contradiction_clause,[],[f66397]) ).

thf(f66465,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f63845,f24129]) ).

thf(f66469,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f66465]) ).

thf(f66494,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_322
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f24541,f31356]) ).

thf(f66498,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_322
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f66494]) ).

thf(f66500,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f26,f24590]) ).

thf(f66501,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f66500]) ).

thf(f66600,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_320
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f24453,f27651]) ).

thf(f66604,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_320
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f66600]) ).

thf(f66606,plain,
    ( $false
    | ~ spl0_320
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f66604,f28659]) ).

thf(f66607,plain,
    ( ~ spl0_320
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f66606]) ).

thf(f66609,plain,
    ( ~ spl0_371
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_306 ),
    inference(avatar_split_clause,[],[f66469,f24128,f401,f76,f27593,f27743]) ).

thf(f66689,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_17
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f237,f27740]) ).

thf(f66691,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_17
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f66689]) ).

thf(f66695,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_17
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f66691,f9405]) ).

thf(f66696,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f66695,f9401]) ).

thf(f66697,plain,
    ( ~ spl0_17
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f66696]) ).

thf(f66699,plain,
    ( ~ spl0_87
    | ~ spl0_83
    | ~ spl0_322
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f66498,f31355,f24540,f3327,f3341]) ).

thf(f66722,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_322
    | ~ spl0_360 ),
    inference(constrained_superposition,[],[f24541,f39259]) ).

thf(f66724,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_322
    | ~ spl0_360 ),
    inference(trivial_inequality_removal,[],[f66722]) ).

thf(f66769,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f167,f3555]) ).

thf(f66773,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f66769]) ).

thf(f66780,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f66773,f349]) ).

thf(f66789,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f66780]) ).

thf(f66800,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f26,f27744]) ).

thf(f66803,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f66800]) ).

thf(f66842,plain,
    ( ~ spl0_31
    | spl0_86
    | ~ spl0_11
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f66789,f3385,f166,f3337,f458]) ).

thf(f66843,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_322
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f66724,f61861]) ).

thf(f66845,plain,
    ( ~ spl0_23
    | ~ spl0_10
    | ~ spl0_322
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f66843,f27593,f24540,f143,f397]) ).

thf(f66847,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f66849,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f66847]) ).

thf(f66858,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_12
    | ~ spl0_322 ),
    inference(constrained_superposition,[],[f24541,f202]) ).

thf(f66862,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_12
    | ~ spl0_322 ),
    inference(trivial_inequality_removal,[],[f66858]) ).

thf(f66864,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f66862,f398]) ).

thf(f66865,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_322 ),
    inference(forward_subsumption_resolution,[],[f66864,f61861]) ).

thf(f66866,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_322 ),
    inference(avatar_contradiction_clause,[],[f66865]) ).

thf(f67032,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_423 ),
    inference(constrained_superposition,[],[f31370,f2995]) ).

thf(f67041,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_423 ),
    inference(trivial_inequality_removal,[],[f67032]) ).

thf(f67105,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_553 ),
    inference(constrained_superposition,[],[f50968,f349]) ).

thf(f67114,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_553 ),
    inference(trivial_inequality_removal,[],[f67105]) ).

thf(f67115,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_31
    | ~ spl0_553 ),
    inference(forward_subsumption_resolution,[],[f67114,f459]) ).

thf(f67116,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_31
    | spl0_392
    | ~ spl0_553 ),
    inference(forward_subsumption_resolution,[],[f67115,f39829]) ).

thf(f67117,plain,
    ( ~ spl0_163
    | ~ spl0_31
    | spl0_392
    | ~ spl0_553 ),
    inference(avatar_split_clause,[],[f67116,f50967,f28658,f458,f5933]) ).

thf(f67197,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f870,f23358]) ).

thf(f67206,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f67197]) ).

thf(f67213,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_531 ),
    inference(constrained_superposition,[],[f45417,f36]) ).

thf(f67225,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_531 ),
    inference(trivial_inequality_removal,[],[f67213]) ).

thf(f67233,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_587 ),
    inference(constrained_superposition,[],[f61569,f23358]) ).

thf(f67239,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_587 ),
    inference(trivial_inequality_removal,[],[f67233]) ).

thf(f67246,plain,
    ( ~ spl0_313
    | ~ spl0_396
    | ~ spl0_304
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f67239,f61568,f23357,f28673,f24153]) ).

thf(f67266,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_441 ),
    inference(constrained_superposition,[],[f32942,f349]) ).

thf(f67275,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_441 ),
    inference(trivial_inequality_removal,[],[f67266]) ).

thf(f67542,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f66501,f23351]) ).

thf(f67552,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f67542]) ).

thf(f67553,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f67552,f19532]) ).

thf(f67554,plain,
    ( spl0_321
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f67553,f24589,f23350,f19531,f24459]) ).

thf(f67665,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f65922,f36]) ).

thf(f67669,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f65922,f23358]) ).

thf(f67674,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_323 ),
    inference(duplicate_literal_removal,[],[f67665]) ).

thf(f67675,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f67674]) ).

thf(f67679,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f67669]) ).

thf(f67684,plain,
    ( spl0_560
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f67679,f24554,f23357,f51515]) ).

thf(f67686,plain,
    ( ~ spl0_32
    | spl0_418
    | ~ spl0_305
    | ~ spl0_441 ),
    inference(avatar_split_clause,[],[f67275,f32941,f24125,f31348,f490]) ).

thf(f67687,plain,
    ( spl0_306
    | ~ spl0_305
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f67206,f23357,f869,f24125,f24128]) ).

thf(f67688,plain,
    ( ~ spl0_95
    | spl0_273
    | ~ spl0_145
    | ~ spl0_423 ),
    inference(avatar_split_clause,[],[f67041,f31369,f4569,f19531,f3370]) ).

thf(f67695,plain,
    ( spl0_360
    | spl0_11
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f67675,f24554,f166,f27593]) ).

thf(f67745,plain,
    ( $false
    | ~ spl0_12
    | spl0_196 ),
    inference(forward_subsumption_resolution,[],[f9374,f202]) ).

thf(f67746,plain,
    ( ~ spl0_12
    | spl0_196 ),
    inference(avatar_contradiction_clause,[],[f67745]) ).

thf(f67755,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_360 ),
    inference(constrained_superposition,[],[f26,f39259]) ).

thf(f67757,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_360 ),
    inference(trivial_inequality_removal,[],[f67755]) ).

thf(f67788,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f66849,f24161]) ).

thf(f67803,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f67788]) ).

thf(f67830,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f26,f25499]) ).

thf(f67833,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f67830]) ).

thf(f67856,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f66803,f24590]) ).

thf(f67859,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_543 ),
    inference(constrained_superposition,[],[f46911,f24590]) ).

thf(f67861,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f67856]) ).

thf(f67863,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_543 ),
    inference(trivial_inequality_removal,[],[f67859]) ).

thf(f67866,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_371
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f67863,f27744]) ).

thf(f67867,plain,
    ( $false
    | ~ spl0_324
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f67866,f39259]) ).

thf(f67868,plain,
    ( ~ spl0_324
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_543 ),
    inference(avatar_contradiction_clause,[],[f67867]) ).

thf(f67869,plain,
    ( spl0_122
    | ~ spl0_94
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f67861,f27743,f24589,f3366,f4015]) ).

thf(f67891,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_416 ),
    inference(constrained_superposition,[],[f31221,f23348]) ).

thf(f67912,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_416 ),
    inference(trivial_inequality_removal,[],[f67891]) ).

thf(f67931,plain,
    ( ~ spl0_443
    | ~ spl0_313
    | ~ spl0_301
    | ~ spl0_416 ),
    inference(avatar_split_clause,[],[f67912,f31220,f23347,f24153,f33721]) ).

thf(f67968,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f67803,f24144]) ).

thf(f67970,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f67968]) ).

thf(f67973,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f67970,f3352]) ).

thf(f67974,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f67973,f3328]) ).

thf(f67975,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(avatar_contradiction_clause,[],[f67974]) ).

thf(f68018,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_529 ),
    inference(constrained_superposition,[],[f44968,f36]) ).

thf(f68032,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_529 ),
    inference(trivial_inequality_removal,[],[f68018]) ).

thf(f68247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(constrained_superposition,[],[f67757,f25499]) ).

thf(f68248,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f67757,f27632]) ).

thf(f68252,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(trivial_inequality_removal,[],[f68247]) ).

thf(f68253,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f68248]) ).

thf(f68255,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f68252,f77]) ).

thf(f68256,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f68253,f29197]) ).

thf(f68258,plain,
    ( spl0_417
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f68255,f27593,f25483,f76,f31242]) ).

thf(f68259,plain,
    ( spl0_484
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f68256,f27631,f27593,f9353,f39825]) ).

thf(f68294,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f64041,f35]) ).

thf(f68296,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f64041,f27632]) ).

thf(f68297,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f68294]) ).

thf(f68300,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f68296]) ).

thf(f68302,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f63471,f36]) ).

thf(f68308,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f68302]) ).

thf(f68312,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(constrained_superposition,[],[f67833,f39259]) ).

thf(f68313,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(trivial_inequality_removal,[],[f68312]) ).

thf(f68317,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f68313,f61861]) ).

thf(f68318,plain,
    ( spl0_466
    | ~ spl0_10
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f68317,f27593,f25483,f143,f34842]) ).

thf(f68321,plain,
    ( spl0_319
    | ~ spl0_196
    | spl0_223
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f68297,f27642,f11805,f9373,f24319]) ).

thf(f68323,plain,
    ( spl0_327
    | ~ spl0_302
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f68300,f27642,f27631,f23350,f24750]) ).

thf(f68325,plain,
    ( spl0_484
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f68253,f27631,f27593,f9353,f39825]) ).

thf(f68331,plain,
    ( spl0_192
    | ~ spl0_99
    | ~ spl0_63
    | ~ spl0_531 ),
    inference(avatar_split_clause,[],[f67225,f45416,f1029,f3385,f9353]) ).

thf(f68333,plain,
    ( spl0_196
    | ~ spl0_63
    | ~ spl0_99
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f68032,f44967,f3385,f1029,f9373]) ).

thf(f68337,definition,
    ( spl0_602
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_602])],[avatar_definition]) ).

thf(f68338,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_602 ),
    inference(avatar_component_clause,[],[f68337]) ).

thf(f68343,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f238]) ).

thf(f68345,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f68343]) ).

thf(f68356,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f26,f3352]) ).

thf(f68357,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f68356]) ).

thf(f68399,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f26,f3338]) ).

thf(f68400,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f68399]) ).

thf(f68510,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f7568,f31356]) ).

thf(f68511,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f43,f31356]) ).

thf(f68512,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f67757,f31356]) ).

thf(f68513,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f26,f31356]) ).

thf(f68514,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_184
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f68510]) ).

thf(f68515,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f68513]) ).

thf(f68516,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f68511]) ).

thf(f68517,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f68512]) ).

thf(f68521,plain,
    ( ~ spl0_418
    | ~ spl0_184
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f68514,f31355,f7567,f31348]) ).

thf(f68531,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f68534,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f68531]) ).

thf(f68536,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f31,f9427]) ).

thf(f68538,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f68536]) ).

thf(f68549,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f26,f29197]) ).

thf(f68550,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f68549]) ).

thf(f68625,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f43,f24590]) ).

thf(f68627,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f68625]) ).

thf(f68674,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_529 ),
    inference(constrained_superposition,[],[f44968,f23348]) ).

thf(f68687,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f31,f23348]) ).

thf(f68693,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f68687]) ).

thf(f68701,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_301
    | ~ spl0_529 ),
    inference(trivial_inequality_removal,[],[f68674]) ).

thf(f68774,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f26,f27625]) ).

thf(f68777,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f68774]) ).

thf(f68781,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f26,f27632]) ).

thf(f68783,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f68781]) ).

thf(f68793,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_594 ),
    inference(constrained_superposition,[],[f61815,f349]) ).

thf(f68794,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_594 ),
    inference(constrained_superposition,[],[f61815,f60]) ).

thf(f68797,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_594 ),
    inference(trivial_inequality_removal,[],[f68794]) ).

thf(f68802,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_594 ),
    inference(trivial_inequality_removal,[],[f68793]) ).

thf(f68803,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_195
    | ~ spl0_594 ),
    inference(forward_subsumption_resolution,[],[f68797,f28299]) ).

thf(f68804,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_392
    | ~ spl0_594 ),
    inference(forward_subsumption_resolution,[],[f68802,f39829]) ).

thf(f68805,plain,
    ( ~ spl0_95
    | spl0_195
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f68803,f61814,f9369,f3370]) ).

thf(f68806,plain,
    ( ~ spl0_110
    | spl0_392
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f68804,f61814,f28658,f3663]) ).

thf(f68813,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_602 ),
    inference(constrained_superposition,[],[f68338,f2996]) ).

thf(f68820,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_602 ),
    inference(trivial_inequality_removal,[],[f68813]) ).

thf(f68825,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_310
    | ~ spl0_602 ),
    inference(forward_subsumption_resolution,[],[f68820,f34435]) ).

thf(f68826,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_99
    | spl0_310
    | ~ spl0_602 ),
    inference(forward_subsumption_resolution,[],[f68825,f3555]) ).

thf(f68827,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | spl0_310
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f68826,f68337,f24143,f3385,f3370]) ).

thf(f68841,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_495 ),
    inference(constrained_superposition,[],[f40919,f35]) ).

thf(f68845,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_495 ),
    inference(trivial_inequality_removal,[],[f68841]) ).

thf(f68991,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_90 ),
    inference(constrained_superposition,[],[f68357,f35]) ).

thf(f68993,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_90 ),
    inference(trivial_inequality_removal,[],[f68991]) ).

thf(f69018,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_538 ),
    inference(constrained_superposition,[],[f46276,f2996]) ).

thf(f69028,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_538 ),
    inference(trivial_inequality_removal,[],[f69018]) ).

thf(f69029,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_395
    | ~ spl0_538 ),
    inference(forward_subsumption_resolution,[],[f69028,f39832]) ).

thf(f69030,plain,
    ( ~ spl0_469
    | ~ spl0_95
    | spl0_395
    | ~ spl0_538 ),
    inference(avatar_split_clause,[],[f69029,f46275,f28670,f3370,f35792]) ).

thf(f69056,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f68345,f59]) ).

thf(f69058,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f69056]) ).

thf(f69081,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_86
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f68400,f31356]) ).

thf(f69082,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f69081]) ).

thf(f69086,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_86
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f69082,f39259]) ).

thf(f69088,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f69086]) ).

thf(f69090,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f69088,f3352]) ).

thf(f69091,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f69090,f33771]) ).

thf(f69092,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(avatar_contradiction_clause,[],[f69091]) ).

thf(f69094,plain,
    ( ~ spl0_421
    | ~ spl0_430
    | ~ spl0_301
    | ~ spl0_529 ),
    inference(avatar_split_clause,[],[f68701,f44967,f23347,f32398,f31359]) ).

thf(f69098,plain,
    ( ~ spl0_100
    | spl0_323
    | ~ spl0_495 ),
    inference(avatar_split_clause,[],[f68845,f40918,f24554,f3413]) ).

thf(f69100,plain,
    ( spl0_480
    | spl0_99
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f68993,f3351,f3385,f39391]) ).

thf(f69103,plain,
    ( ~ spl0_100
    | spl0_323
    | spl0_103
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f68627,f24589,f3425,f24554,f3413]) ).

thf(f69104,plain,
    ( spl0_99
    | ~ spl0_348
    | spl0_466
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f68516,f31355,f34842,f25491,f3385]) ).

thf(f69148,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f64041,f9358]) ).

thf(f69153,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f69148]) ).

thf(f69155,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f69153,f9401]) ).

thf(f69156,plain,
    ( spl0_319
    | ~ spl0_193
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f69155,f27642,f9373,f9357,f24319]) ).

thf(f69206,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_347
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f25489,f31349]) ).

thf(f69209,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f67757,f31349]) ).

thf(f69210,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f26,f31349]) ).

thf(f69213,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f69210]) ).

thf(f69215,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_347
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f69206]) ).

thf(f69216,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f69209]) ).

thf(f69219,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_23
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f69216,f398]) ).

thf(f69220,plain,
    ( spl0_493
    | ~ spl0_23
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f69219,f31348,f27593,f397,f40900]) ).

thf(f69244,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f848,f36]) ).

thf(f69247,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f848,f348]) ).

thf(f69250,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f69244]) ).

thf(f69251,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f69247]) ).

thf(f69309,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_493 ),
    inference(constrained_superposition,[],[f40901,f27625]) ).

thf(f69314,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_493 ),
    inference(trivial_inequality_removal,[],[f69309]) ).

thf(f69338,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_341 ),
    inference(constrained_superposition,[],[f25102,f23348]) ).

thf(f69339,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_341 ),
    inference(constrained_superposition,[],[f25102,f2996]) ).

thf(f69346,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_341 ),
    inference(trivial_inequality_removal,[],[f69339]) ).

thf(f69347,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_341 ),
    inference(trivial_inequality_removal,[],[f69338]) ).

thf(f69392,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_389 ),
    inference(constrained_superposition,[],[f28288,f2996]) ).

thf(f69401,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_389 ),
    inference(trivial_inequality_removal,[],[f69392]) ).

thf(f69479,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_52
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f69251,f23358]) ).

thf(f69480,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_52
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f69251,f23348]) ).

thf(f69485,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_52
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f69251,f11806]) ).

thf(f69487,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_52
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f69251,f9427]) ).

thf(f69491,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_52
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f69480]) ).

thf(f69495,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_52
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f69487]) ).

thf(f69498,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_52
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f69479]) ).

thf(f69499,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_52
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f69485]) ).

thf(f69518,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_565 ),
    inference(constrained_superposition,[],[f52333,f2996]) ).

thf(f69521,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_565 ),
    inference(trivial_inequality_removal,[],[f69518]) ).

thf(f69549,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_307 ),
    inference(constrained_superposition,[],[f24134,f2995]) ).

thf(f69563,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_307 ),
    inference(trivial_inequality_removal,[],[f69549]) ).

thf(f69586,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f68534,f27651]) ).

thf(f69589,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69586]) ).

thf(f69591,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f69589,f27625]) ).

thf(f69597,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69591]) ).

thf(f69617,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_513 ),
    inference(constrained_superposition,[],[f42647,f2995]) ).

thf(f69628,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_513 ),
    inference(trivial_inequality_removal,[],[f69617]) ).

thf(f69640,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_579 ),
    inference(constrained_superposition,[],[f60962,f2996]) ).

thf(f69647,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_579 ),
    inference(trivial_inequality_removal,[],[f69640]) ).

thf(f69666,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_415 ),
    inference(constrained_superposition,[],[f31210,f60]) ).

thf(f69669,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_415 ),
    inference(trivial_inequality_removal,[],[f69666]) ).

thf(f69678,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f68550,f27632]) ).

thf(f69679,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f69678]) ).

thf(f69684,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f69679,f31356]) ).

thf(f69685,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f69679,f31349]) ).

thf(f69687,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f69684]) ).

thf(f69691,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f69685]) ).

thf(f69730,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f68538,f23348]) ).

thf(f69736,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f69730]) ).

thf(f69749,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f5981,f23358]) ).

thf(f69755,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f69749]) ).

thf(f69771,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_560 ),
    inference(constrained_superposition,[],[f51516,f23348]) ).

thf(f69772,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_560 ),
    inference(constrained_superposition,[],[f51516,f2996]) ).

thf(f69777,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_560 ),
    inference(trivial_inequality_removal,[],[f69771]) ).

thf(f69778,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_560 ),
    inference(trivial_inequality_removal,[],[f69772]) ).

thf(f69838,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f69058,f23348]) ).

thf(f69847,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f69838]) ).

thf(f69859,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f66392,f27643]) ).

thf(f69860,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f66392,f27632]) ).

thf(f69861,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69859]) ).

thf(f69862,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69860]) ).

thf(f69877,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f69862,f39259]) ).

thf(f69878,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69877]) ).

thf(f69887,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f69213,f39259]) ).

thf(f69890,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f69887]) ).

thf(f69896,plain,
    ( ~ spl0_37
    | spl0_466
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f69890,f31348,f27593,f34842,f521]) ).

thf(f69897,plain,
    ( ~ spl0_395
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f69687,f31355,f27631,f9353,f3351,f28670]) ).

thf(f69899,plain,
    ( spl0_495
    | ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f68517,f31355,f27593,f3351,f40918]) ).

thf(f69904,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f31,f459]) ).

thf(f69907,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f69904]) ).

thf(f69940,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f26,f28671]) ).

thf(f69941,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f69940]) ).

thf(f69977,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_276
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f19560,f27651]) ).

thf(f69981,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_276
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f69977]) ).

thf(f69990,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f870,f23358]) ).

thf(f69991,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_58
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f870,f23348]) ).

thf(f69995,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f69990]) ).

thf(f69998,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_58
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f69991]) ).

thf(f70008,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_555 ),
    inference(constrained_superposition,[],[f50976,f36]) ).

thf(f70022,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_555 ),
    inference(trivial_inequality_removal,[],[f70008]) ).

thf(f70040,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f69907,f36]) ).

thf(f70043,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f69907,f348]) ).

thf(f70048,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X2 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f70043]) ).

thf(f70050,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f70040]) ).

thf(f70051,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f70050]) ).

thf(f70089,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f69941,f27643]) ).

thf(f70093,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f70089]) ).

thf(f70101,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f70093,f29197]) ).

thf(f70103,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f70101]) ).

thf(f70106,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f70103,f3414]) ).

thf(f70107,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f70106,f9401]) ).

thf(f70108,plain,
    ( ~ spl0_100
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f70107]) ).

thf(f70133,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_590 ),
    inference(constrained_superposition,[],[f61788,f349]) ).

thf(f70137,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_590 ),
    inference(trivial_inequality_removal,[],[f70133]) ).

thf(f70144,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | spl0_392
    | ~ spl0_590 ),
    inference(forward_subsumption_resolution,[],[f70137,f39829]) ).

thf(f70147,definition,
    ( spl0_603
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_603])],[avatar_definition]) ).

thf(f70148,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_603 ),
    inference(avatar_component_clause,[],[f70147]) ).

thf(f70149,plain,
    ( ~ spl0_32
    | spl0_603
    | spl0_392
    | ~ spl0_590 ),
    inference(avatar_split_clause,[],[f70144,f61787,f28658,f70147,f490]) ).

thf(f70154,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f68515,f39259]) ).

thf(f70156,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f70154]) ).

thf(f70159,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_100
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f70156,f3414]) ).

thf(f70160,plain,
    ( spl0_466
    | ~ spl0_100
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f70159,f31355,f27593,f3413,f34842]) ).

thf(f70162,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_347
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f69215,f402]) ).

thf(f70163,plain,
    ( ~ spl0_110
    | spl0_395
    | ~ spl0_99
    | ~ spl0_389 ),
    inference(avatar_split_clause,[],[f69401,f28287,f3385,f28670,f3663]) ).

thf(f70164,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_276
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f69981,f9397]) ).

thf(f70165,plain,
    ( spl0_324
    | ~ spl0_110
    | ~ spl0_469
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f69628,f42646,f35792,f3663,f24589]) ).

thf(f70168,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_310
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f69346,f25101,f24143,f3663,f3385]) ).

thf(f70169,plain,
    ( ~ spl0_396
    | spl0_324
    | ~ spl0_165
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f69755,f23357,f5980,f24589,f28673]) ).

thf(f70170,plain,
    ( ~ spl0_99
    | ~ spl0_469
    | spl0_420
    | ~ spl0_565 ),
    inference(avatar_split_clause,[],[f69521,f52332,f31355,f35792,f3385]) ).

thf(f70172,plain,
    ( ~ spl0_110
    | spl0_420
    | ~ spl0_396
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f69647,f60961,f28673,f31355,f3663]) ).

thf(f70173,plain,
    ( ~ spl0_99
    | spl0_310
    | spl0_535
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f69778,f51515,f46162,f24143,f3385]) ).

thf(f70175,plain,
    ( spl0_324
    | ~ spl0_469
    | ~ spl0_95
    | ~ spl0_307 ),
    inference(avatar_split_clause,[],[f69563,f24133,f3370,f35792,f24589]) ).

thf(f70178,plain,
    ( ~ spl0_86
    | ~ spl0_24
    | ~ spl0_347
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f70162,f31348,f25488,f401,f3337]) ).

thf(f70179,plain,
    ( ~ spl0_273
    | ~ spl0_200
    | ~ spl0_276
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f70164,f27650,f19559,f9396,f19531]) ).

thf(f70250,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_117
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f3909,f19532]) ).

thf(f70258,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_117
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f70250]) ).

thf(f70276,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f26,f24144]) ).

thf(f70283,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f70276]) ).

thf(f70297,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f69861,f28671]) ).

thf(f70303,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f70297]) ).

thf(f70309,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_273
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f70303,f19532]) ).

thf(f70311,plain,
    ( $false
    | ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f70309,f24144]) ).

thf(f70312,plain,
    ( ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f70311]) ).

thf(f70439,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_587 ),
    inference(constrained_superposition,[],[f61569,f349]) ).

thf(f70443,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_587 ),
    inference(trivial_inequality_removal,[],[f70439]) ).

thf(f70538,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f70283,f27651]) ).

thf(f70543,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f70538]) ).

thf(f70555,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f70543,f27625]) ).

thf(f70557,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f70543,f29197]) ).

thf(f70559,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f70555]) ).

thf(f70560,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f70557]) ).

thf(f70568,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f69736,f23358]) ).

thf(f70571,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f69736,f60]) ).

thf(f70572,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70568]) ).

thf(f70579,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f70571]) ).

thf(f70583,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301 ),
    inference(forward_subsumption_resolution,[],[f70579,f238]) ).

thf(f70585,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f70583,f25484]) ).

thf(f70591,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | spl0_346 ),
    inference(constrained_superposition,[],[f70585,f23358]) ).

thf(f70592,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | spl0_346 ),
    inference(constrained_superposition,[],[f70585,f2996]) ).

thf(f70597,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f70591]) ).

thf(f70601,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f70592]) ).

thf(f70618,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f67757,f31356]) ).

thf(f70619,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_418
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f69213,f31356]) ).

thf(f70634,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f70618]) ).

thf(f70636,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_418
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f70619]) ).

thf(f70638,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_12
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f70634,f202]) ).

thf(f70639,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_86
    | ~ spl0_418
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f70636,f3338]) ).

thf(f70640,plain,
    ( spl0_495
    | ~ spl0_12
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f70638,f31355,f27593,f201,f40918]) ).

thf(f70641,plain,
    ( spl0_495
    | ~ spl0_86
    | ~ spl0_418
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f70639,f31355,f31348,f3337,f40918]) ).

thf(f70684,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f23358]) ).

thf(f70697,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_304
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f70684]) ).

thf(f70721,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f68777,f35]) ).

thf(f70726,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f70721]) ).

thf(f70733,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_599 ),
    inference(constrained_superposition,[],[f61927,f2996]) ).

thf(f70740,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_599 ),
    inference(trivial_inequality_removal,[],[f70733]) ).

thf(f70745,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | spl0_395
    | ~ spl0_599 ),
    inference(forward_subsumption_resolution,[],[f70740,f39832]) ).

thf(f70746,plain,
    ( ~ spl0_110
    | spl0_583
    | spl0_395
    | ~ spl0_599 ),
    inference(avatar_split_clause,[],[f70745,f61926,f28670,f61277,f3663]) ).

thf(f70750,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f68783,f39259]) ).

thf(f70752,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f70750]) ).

thf(f70758,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_411 ),
    inference(constrained_superposition,[],[f30484,f36]) ).

thf(f70772,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_411 ),
    inference(trivial_inequality_removal,[],[f70758]) ).

thf(f70781,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f70048,f2995]) ).

thf(f70782,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70048,f23358]) ).

thf(f70788,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70782]) ).

thf(f70789,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f70781]) ).

thf(f70798,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_31
    | spl0_83 ),
    inference(forward_subsumption_resolution,[],[f70789,f38819]) ).

thf(f70879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_491 ),
    inference(constrained_superposition,[],[f40883,f23348]) ).

thf(f70890,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_491 ),
    inference(duplicate_literal_removal,[],[f70879]) ).

thf(f70891,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_491 ),
    inference(trivial_inequality_removal,[],[f70890]) ).

thf(f70903,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f68693,f23358]) ).

thf(f70907,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(duplicate_literal_removal,[],[f70903]) ).

thf(f70908,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70907]) ).

thf(f70922,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70908,f23348]) ).

thf(f70924,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70908,f349]) ).

thf(f70925,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70908,f60]) ).

thf(f70929,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70922]) ).

thf(f70931,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70924]) ).

thf(f70933,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70925]) ).

thf(f70935,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(forward_subsumption_resolution,[],[f70931,f39586]) ).

thf(f70941,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(constrained_superposition,[],[f70935,f23348]) ).

thf(f70944,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(constrained_superposition,[],[f70935,f60]) ).

thf(f70947,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(trivial_inequality_removal,[],[f70944]) ).

thf(f70949,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(trivial_inequality_removal,[],[f70941]) ).

thf(f70954,plain,
    ( ~ spl0_569
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(avatar_split_clause,[],[f70949,f24160,f23357,f23347,f54931]) ).

thf(f70965,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70929,f348]) ).

thf(f70967,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f70929,f59]) ).

thf(f70975,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70967]) ).

thf(f70979,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f70965]) ).

thf(f70981,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f70798,f11806]) ).

thf(f70988,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f70981]) ).

thf(f70991,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(forward_subsumption_resolution,[],[f70988,f53752]) ).

thf(f70993,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(constrained_superposition,[],[f70991,f348]) ).

thf(f70995,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(constrained_superposition,[],[f70991,f59]) ).

thf(f71005,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(trivial_inequality_removal,[],[f70993]) ).

thf(f71007,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(trivial_inequality_removal,[],[f70995]) ).

thf(f71009,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f71007,f28305]) ).

thf(f71011,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f71009,f238]) ).

thf(f71013,plain,
    ( ~ spl0_145
    | ~ spl0_4
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274
    | spl0_383 ),
    inference(avatar_split_clause,[],[f71011,f27996,f19550,f11805,f3327,f458,f97,f4569]) ).

thf(f71017,plain,
    ( spl0_309
    | ~ spl0_63
    | ~ spl0_52
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f69495,f9426,f847,f1029,f24139]) ).

thf(f71023,plain,
    ( ~ spl0_421
    | ~ spl0_323
    | ~ spl0_304
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f70697,f42967,f23357,f24554,f31359]) ).

thf(f71024,plain,
    ( spl0_565
    | ~ spl0_323
    | spl0_370
    | ~ spl0_4
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f69847,f23347,f97,f27739,f24554,f52332]) ).

thf(f71025,plain,
    ( ~ spl0_99
    | ~ spl0_95
    | spl0_420
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | spl0_346 ),
    inference(avatar_split_clause,[],[f70601,f25483,f23347,f9426,f97,f31355,f3370,f3385]) ).

thf(f71026,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f70597,f9427]) ).

thf(f71027,plain,
    ( ~ spl0_323
    | ~ spl0_421
    | ~ spl0_301
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f69347,f25101,f23347,f31359,f24554]) ).

thf(f71028,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_346
    | ~ spl0_415 ),
    inference(forward_subsumption_resolution,[],[f69669,f25484]) ).

thf(f71029,plain,
    ( ~ spl0_429
    | spl0_306
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f70979,f23357,f23347,f24128,f32342]) ).

thf(f71033,definition,
    ( spl0_606
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_606])],[avatar_definition]) ).

thf(f71034,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_606 ),
    inference(avatar_component_clause,[],[f71033]) ).

thf(f71035,plain,
    ( spl0_606
    | spl0_200
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f70933,f23357,f23347,f9396,f71033]) ).

thf(f71036,plain,
    ( ~ spl0_323
    | spl0_565
    | ~ spl0_301
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f69777,f51515,f23347,f52332,f24554]) ).

thf(f71037,plain,
    ( spl0_23
    | spl0_11
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f70051,f458,f166,f397]) ).

thf(f71038,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(forward_subsumption_resolution,[],[f70788,f9427]) ).

thf(f71042,plain,
    ( ~ spl0_305
    | spl0_306
    | ~ spl0_58
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f69995,f23357,f869,f24128,f24125]) ).

thf(f71043,plain,
    ( ~ spl0_309
    | ~ spl0_200
    | ~ spl0_117
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f70258,f19531,f3908,f9396,f24139]) ).

thf(f71044,plain,
    ( ~ spl0_305
    | spl0_306
    | ~ spl0_52
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f69491,f23347,f847,f24128,f24125]) ).

thf(f71045,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_192
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f70726,f29197]) ).

thf(f71047,definition,
    ( spl0_607
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_607])],[avatar_definition]) ).

thf(f71048,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_607 ),
    inference(avatar_component_clause,[],[f71047]) ).

thf(f71049,plain,
    ( spl0_607
    | ~ spl0_313
    | ~ spl0_301
    | ~ spl0_491 ),
    inference(avatar_split_clause,[],[f70891,f40882,f23347,f24153,f71047]) ).

thf(f71050,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(forward_subsumption_resolution,[],[f70572,f9427]) ).

thf(f71051,plain,
    ( spl0_309
    | ~ spl0_421
    | ~ spl0_58
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f69998,f23347,f869,f31359,f24139]) ).

thf(f71052,plain,
    ( spl0_309
    | ~ spl0_421
    | ~ spl0_52
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f69498,f23357,f847,f31359,f24139]) ).

thf(f71054,plain,
    ( spl0_200
    | ~ spl0_32
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(avatar_split_clause,[],[f70947,f24160,f23357,f23347,f490,f9396]) ).

thf(f71055,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(forward_subsumption_resolution,[],[f71005,f459]) ).

thf(f71056,plain,
    ( ~ spl0_443
    | spl0_371
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f70975,f23357,f23347,f27743,f33721]) ).

thf(f71057,plain,
    ( spl0_358
    | spl0_23
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f69250,f847,f397,f27569]) ).

thf(f71059,plain,
    ( ~ spl0_63
    | spl0_377
    | ~ spl0_52
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f69499,f11805,f847,f27962,f1029]) ).

thf(f71064,plain,
    ( ~ spl0_313
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | spl0_346 ),
    inference(avatar_split_clause,[],[f71026,f25483,f23357,f23347,f9426,f97,f24153]) ).

thf(f71065,plain,
    ( ~ spl0_145
    | ~ spl0_443
    | spl0_346
    | ~ spl0_415 ),
    inference(avatar_split_clause,[],[f71028,f31209,f25483,f33721,f4569]) ).

thf(f71068,definition,
    ( spl0_608
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_608])],[avatar_definition]) ).

thf(f71069,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_608 ),
    inference(avatar_component_clause,[],[f71068]) ).

thf(f71070,plain,
    ( spl0_608
    | spl0_306
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f71038,f23357,f9426,f458,f24128,f71068]) ).

thf(f71073,plain,
    ( spl0_323
    | spl0_386
    | ~ spl0_192
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f71045,f27624,f9353,f28190,f24554]) ).

thf(f71074,plain,
    ( spl0_565
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f71050,f23357,f23347,f9426,f52332]) ).

thf(f71076,plain,
    ( ~ spl0_163
    | spl0_377
    | ~ spl0_31
    | spl0_83
    | ~ spl0_223
    | spl0_274 ),
    inference(avatar_split_clause,[],[f71055,f19550,f11805,f3327,f458,f27962,f5933]) ).

thf(f71078,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f69597,f39259]) ).

thf(f71079,plain,
    ( ~ spl0_420
    | ~ spl0_302
    | ~ spl0_310
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f70559,f27650,f27624,f24143,f23350,f31355]) ).

thf(f71080,plain,
    ( ~ spl0_392
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f69691,f31348,f27631,f9353,f397,f28658]) ).

thf(f71084,definition,
    ( spl0_609
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_609])],[avatar_definition]) ).

thf(f71085,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_609 ),
    inference(avatar_component_clause,[],[f71084]) ).

thf(f71088,plain,
    ( ~ spl0_193
    | spl0_466
    | ~ spl0_360
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f70752,f27631,f27593,f34842,f9357]) ).

thf(f71089,plain,
    ( ~ spl0_392
    | ~ spl0_361
    | ~ spl0_493 ),
    inference(avatar_split_clause,[],[f69314,f40900,f27624,f28658]) ).

thf(f71091,plain,
    ( ~ spl0_302
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f71078,f27650,f27624,f27593,f9373,f23350]) ).

thf(f71094,plain,
    ( ~ spl0_100
    | ~ spl0_196
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f70560,f27650,f24143,f9353,f9373,f3413]) ).

thf(f71095,plain,
    ( spl0_418
    | ~ spl0_32
    | ~ spl0_163
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f70443,f61568,f5933,f490,f31348]) ).

thf(f71096,plain,
    ( ~ spl0_104
    | spl0_535
    | spl0_196
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f70772,f30483,f9373,f46162,f3594]) ).

thf(f71098,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f69878,f29197]) ).

thf(f71101,plain,
    ( ~ spl0_201
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f71098,f27650,f27631,f27593,f9353,f9404]) ).

thf(f71153,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f31,f11806]) ).

thf(f71155,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f71153]) ).

thf(f71169,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f66392,f27997]) ).

thf(f71175,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f71169]) ).

thf(f71185,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f70798,f24555]) ).

thf(f71187,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f31,f24555]) ).

thf(f71189,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_31
    | spl0_83
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f71185]) ).

thf(f71190,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f71187]) ).

thf(f71192,definition,
    ( spl0_611
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_611])],[avatar_definition]) ).

thf(f71193,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_611 ),
    inference(avatar_component_clause,[],[f71192]) ).

thf(f71194,plain,
    ( spl0_324
    | spl0_611
    | ~ spl0_31
    | spl0_83
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f71189,f24554,f3327,f458,f71192,f24589]) ).

thf(f71201,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f232,f60]) ).

thf(f71206,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f71201]) ).

thf(f71255,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f26,f31349]) ).

thf(f71257,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f71255]) ).

thf(f71269,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f66392,f27643]) ).

thf(f71270,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f68550,f27643]) ).

thf(f71276,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f71270]) ).

thf(f71277,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f71269]) ).

thf(f71288,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_466 ),
    inference(constrained_superposition,[],[f34843,f24129]) ).

thf(f71290,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_306
    | ~ spl0_466 ),
    inference(trivial_inequality_removal,[],[f71288]) ).

thf(f71291,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_466 ),
    inference(forward_subsumption_resolution,[],[f71290,f398]) ).

thf(f71292,plain,
    ( ~ spl0_23
    | ~ spl0_306
    | ~ spl0_466 ),
    inference(avatar_contradiction_clause,[],[f71291]) ).

thf(f71328,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f26,f23351]) ).

thf(f71331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f71328]) ).

thf(f71332,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f43,f23355]) ).

thf(f71333,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_360 ),
    inference(constrained_superposition,[],[f67757,f23355]) ).

thf(f71335,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f71332]) ).

thf(f71336,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_360 ),
    inference(trivial_inequality_removal,[],[f71333]) ).

thf(f71338,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f63470,f27628]) ).

thf(f71339,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_555 ),
    inference(constrained_superposition,[],[f50976,f27628]) ).

thf(f71346,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f827,f27628]) ).

thf(f71350,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f216,f27628]) ).

thf(f71358,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f71350]) ).

thf(f71360,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f71346]) ).

thf(f71363,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f71338]) ).

thf(f71366,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_555 ),
    inference(trivial_inequality_removal,[],[f71339]) ).

thf(f71378,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_364
    | ~ spl0_587 ),
    inference(constrained_superposition,[],[f61569,f27635]) ).

thf(f71382,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f70048,f27635]) ).

thf(f71386,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f69058,f27635]) ).

thf(f71394,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_587 ),
    inference(trivial_inequality_removal,[],[f71378]) ).

thf(f71398,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f71386]) ).

thf(f71401,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f71382]) ).

thf(f71411,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_4
    | ~ spl0_364
    | spl0_371 ),
    inference(forward_subsumption_resolution,[],[f71398,f31240]) ).

thf(f71414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364
    | spl0_371 ),
    inference(forward_subsumption_resolution,[],[f71411,f11806]) ).

thf(f71415,plain,
    ( spl0_564
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364
    | spl0_371 ),
    inference(avatar_split_clause,[],[f71414,f27743,f27634,f11805,f97,f52327]) ).

thf(f71528,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f25298,f23351]) ).

thf(f71529,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f71528]) ).

thf(f71657,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_562 ),
    inference(constrained_superposition,[],[f51541,f349]) ).

thf(f71664,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_562 ),
    inference(trivial_inequality_removal,[],[f71657]) ).

thf(f71668,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_392
    | ~ spl0_562 ),
    inference(forward_subsumption_resolution,[],[f71664,f39829]) ).

thf(f71669,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_31
    | spl0_392
    | ~ spl0_562 ),
    inference(forward_subsumption_resolution,[],[f71668,f459]) ).

thf(f71670,plain,
    ( ~ spl0_429
    | ~ spl0_31
    | spl0_392
    | ~ spl0_562 ),
    inference(avatar_split_clause,[],[f71669,f51540,f28658,f458,f32342]) ).

thf(f71697,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f71276,f28671]) ).

thf(f71702,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f71697]) ).

thf(f71713,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_611 ),
    inference(constrained_superposition,[],[f71193,f59]) ).

thf(f71722,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_611 ),
    inference(trivial_inequality_removal,[],[f71713]) ).

thf(f71727,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_371
    | ~ spl0_611 ),
    inference(forward_subsumption_resolution,[],[f71722,f31240]) ).

thf(f71728,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_371
    | ~ spl0_611 ),
    inference(forward_subsumption_resolution,[],[f71727,f238]) ).

thf(f71729,plain,
    ( ~ spl0_145
    | ~ spl0_4
    | spl0_371
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f71728,f71192,f27743,f97,f4569]) ).

thf(f71792,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f71175,f29197]) ).

thf(f71794,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f71792]) ).

thf(f71800,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f71794,f77]) ).

thf(f71801,plain,
    ( spl0_327
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_360 ),
    inference(avatar_split_clause,[],[f71336,f27593,f23354,f9373,f24750]) ).

thf(f71806,plain,
    ( ~ spl0_201
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f71800,f27996,f27650,f9353,f76,f9404]) ).

thf(f71878,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f71206,f9427]) ).

thf(f71880,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f31,f9427]) ).

thf(f71881,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f71880]) ).

thf(f71882,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_16
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f71878]) ).

thf(f71886,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_16
    | spl0_200
    | ~ spl0_206 ),
    inference(forward_subsumption_resolution,[],[f71882,f30104]) ).

thf(f71887,plain,
    ( ~ spl0_345
    | ~ spl0_16
    | spl0_200
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f71886,f9426,f9396,f231,f25306]) ).

thf(f71888,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_345 ),
    inference(constrained_superposition,[],[f25307,f36]) ).

thf(f71891,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_345 ),
    inference(trivial_inequality_removal,[],[f71888]) ).

thf(f71961,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_327 ),
    inference(constrained_superposition,[],[f24751,f35]) ).

thf(f71966,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_327 ),
    inference(trivial_inequality_removal,[],[f71961]) ).

thf(f72075,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_608 ),
    inference(constrained_superposition,[],[f71069,f60]) ).

thf(f72081,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_608 ),
    inference(trivial_inequality_removal,[],[f72075]) ).

thf(f72086,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_346
    | ~ spl0_608 ),
    inference(forward_subsumption_resolution,[],[f72081,f25484]) ).

thf(f72088,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | spl0_346
    | ~ spl0_608 ),
    inference(forward_subsumption_resolution,[],[f72086,f238]) ).

thf(f72090,plain,
    ( ~ spl0_313
    | ~ spl0_4
    | spl0_346
    | ~ spl0_608 ),
    inference(avatar_split_clause,[],[f72088,f71068,f25483,f97,f24153]) ).

thf(f72142,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_564 ),
    inference(constrained_superposition,[],[f52328,f60]) ).

thf(f72145,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_564 ),
    inference(trivial_inequality_removal,[],[f72142]) ).

thf(f72253,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_522 ),
    inference(constrained_superposition,[],[f42744,f2996]) ).

thf(f72262,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_522 ),
    inference(trivial_inequality_removal,[],[f72253]) ).

thf(f72268,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f71277,f29197]) ).

thf(f72274,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f72268]) ).

thf(f72284,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f71881,f36]) ).

thf(f72288,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f71881,f2996]) ).

thf(f72294,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f72288]) ).

thf(f72297,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_206 ),
    inference(duplicate_literal_removal,[],[f72284]) ).

thf(f72298,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f72297]) ).

thf(f72300,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_206
    | spl0_310 ),
    inference(forward_subsumption_resolution,[],[f72294,f34435]) ).

thf(f72301,plain,
    ( spl0_156
    | ~ spl0_206
    | spl0_310 ),
    inference(avatar_split_clause,[],[f72300,f24143,f9426,f5502]) ).

thf(f72324,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f5981,f27628]) ).

thf(f72333,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f72324]) ).

thf(f72381,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f71155,f27628]) ).

thf(f72386,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f72381]) ).

thf(f72400,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f71190,f27635]) ).

thf(f72412,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f72400]) ).

thf(f72469,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f72412,f349]) ).

thf(f72473,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f72469]) ).

thf(f72480,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_364
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f72473,f39829]) ).

thf(f72481,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_364
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f72480,f459]) ).

thf(f72487,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_364
    | spl0_392 ),
    inference(constrained_superposition,[],[f72481,f27628]) ).

thf(f72497,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_364
    | spl0_392 ),
    inference(trivial_inequality_removal,[],[f72487]) ).

thf(f72500,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_364
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f72497,f24555]) ).

thf(f72501,plain,
    ( ~ spl0_569
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_364
    | spl0_392 ),
    inference(avatar_split_clause,[],[f72500,f28658,f27634,f27627,f24554,f458,f54931]) ).

thf(f72519,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f71331,f35]) ).

thf(f72523,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f72519]) ).

thf(f72542,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f72386,f60]) ).

thf(f72543,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f72542]) ).

thf(f72553,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f72543,f25484]) ).

thf(f72555,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f72553,f238]) ).

thf(f72564,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f72555,f2996]) ).

thf(f72575,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f72564]) ).

thf(f72576,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f72575,f56677]) ).

thf(f72577,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_99
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f72576,f3555]) ).

thf(f72578,plain,
    ( ~ spl0_95
    | ~ spl0_4
    | ~ spl0_99
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362
    | spl0_420 ),
    inference(avatar_split_clause,[],[f72577,f31355,f27627,f25483,f11805,f3385,f97,f3370]) ).

thf(f72582,plain,
    ( spl0_460
    | spl0_195
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f71358,f27627,f9369,f34275]) ).

thf(f72584,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(forward_subsumption_resolution,[],[f72543,f238]) ).

thf(f72587,plain,
    ( ~ spl0_196
    | spl0_323
    | spl0_319
    | ~ spl0_302 ),
    inference(avatar_split_clause,[],[f72523,f23350,f24319,f24554,f9373]) ).

thf(f72588,plain,
    ( spl0_435
    | spl0_392
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f71360,f27627,f28658,f32670]) ).

thf(f72590,plain,
    ( ~ spl0_346
    | ~ spl0_306
    | ~ spl0_302
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f71529,f25297,f23350,f24128,f25483]) ).

thf(f72591,plain,
    ( ~ spl0_312
    | spl0_274
    | ~ spl0_165
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f72333,f27627,f5980,f19550,f24149]) ).

thf(f72593,plain,
    ( spl0_11
    | spl0_196
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f72298,f9426,f9373,f166]) ).

thf(f72594,plain,
    ( spl0_196
    | spl0_345 ),
    inference(avatar_split_clause,[],[f71891,f25306,f9373]) ).

thf(f72596,plain,
    ( ~ spl0_312
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_555 ),
    inference(avatar_split_clause,[],[f71366,f50975,f27627,f31359,f24149]) ).

thf(f72599,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_31
    | ~ spl0_223
    | ~ spl0_364 ),
    inference(forward_subsumption_resolution,[],[f71401,f11806]) ).

thf(f72603,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f71702,f3352]) ).

thf(f72609,definition,
    ( spl0_614
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_614])],[avatar_definition]) ).

thf(f72610,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_614 ),
    inference(avatar_component_clause,[],[f72609]) ).

thf(f72611,plain,
    ( spl0_614
    | spl0_346
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f72584,f27627,f11805,f97,f25483,f72609]) ).

thf(f72616,definition,
    ( spl0_615
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_615])],[avatar_definition]) ).

thf(f72617,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_615 ),
    inference(avatar_component_clause,[],[f72616]) ).

thf(f72618,plain,
    ( spl0_306
    | spl0_615
    | ~ spl0_31
    | ~ spl0_223
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f72599,f27634,f11805,f458,f72616,f24128]) ).

thf(f72619,plain,
    ( ~ spl0_310
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f72603,f28670,f27642,f9353,f3351,f24143]) ).

thf(f72620,plain,
    ( spl0_466
    | spl0_206
    | ~ spl0_348
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f71335,f23354,f25491,f9426,f34842]) ).

thf(f72621,plain,
    ( ~ spl0_201
    | ~ spl0_196
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f72274,f27650,f27642,f9353,f9373,f9404]) ).

thf(f72622,plain,
    ( spl0_371
    | ~ spl0_381
    | ~ spl0_14
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f71363,f27627,f223,f27981,f27743]) ).

thf(f72623,plain,
    ( ~ spl0_201
    | spl0_323
    | ~ spl0_327 ),
    inference(avatar_split_clause,[],[f71966,f24750,f24554,f9404]) ).

thf(f72630,plain,
    ( ~ spl0_372
    | ~ spl0_381
    | ~ spl0_364
    | ~ spl0_587 ),
    inference(avatar_split_clause,[],[f71394,f61568,f27634,f27981,f27943]) ).

thf(f72632,plain,
    ( ~ spl0_372
    | spl0_420
    | ~ spl0_110
    | ~ spl0_522 ),
    inference(avatar_split_clause,[],[f72262,f42743,f3663,f31355,f27943]) ).

thf(f72634,plain,
    ( ~ spl0_4
    | spl0_346
    | ~ spl0_436
    | ~ spl0_564 ),
    inference(avatar_split_clause,[],[f72145,f52327,f32674,f25483,f97]) ).

thf(f72665,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196 ),
    inference(constrained_superposition,[],[f26,f9401]) ).

thf(f72666,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196 ),
    inference(trivial_inequality_removal,[],[f72665]) ).

thf(f72702,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f743,f31349]) ).

thf(f72703,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_47
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f72702]) ).

thf(f72705,plain,
    ( ~ spl0_346
    | ~ spl0_47
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f72703,f31348,f742,f25483]) ).

thf(f72707,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f167,f459]) ).

thf(f72711,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f72707]) ).

thf(f72718,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f72711,f348]) ).

thf(f72720,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f72718]) ).

thf(f72740,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f43,f28659]) ).

thf(f72742,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f26,f28659]) ).

thf(f72744,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f72742]) ).

thf(f72749,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f72740]) ).

thf(f72849,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_593 ),
    inference(constrained_superposition,[],[f61802,f2996]) ).

thf(f72852,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_593 ),
    inference(trivial_inequality_removal,[],[f72849]) ).

thf(f72922,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f26,f27625]) ).

thf(f72926,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f72922]) ).

thf(f72932,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f71257,f27632]) ).

thf(f72934,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f26,f27632]) ).

thf(f72937,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f72934]) ).

thf(f72942,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f72932]) ).

thf(f72943,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_363
    | ~ spl0_392
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f72942,f28659]) ).

thf(f72944,plain,
    ( spl0_484
    | ~ spl0_363
    | ~ spl0_392
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f72943,f31348,f28658,f27631,f39825]) ).

thf(f72946,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f72720,f24555]) ).

thf(f72950,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f72946]) ).

thf(f72952,plain,
    ( $false
    | ~ spl0_11
    | ~ spl0_31
    | spl0_306
    | ~ spl0_323 ),
    inference(forward_subsumption_resolution,[],[f72950,f25485]) ).

thf(f72953,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | spl0_306
    | ~ spl0_323 ),
    inference(avatar_contradiction_clause,[],[f72952]) ).

thf(f72954,plain,
    ( ~ spl0_145
    | spl0_395
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f72852,f61801,f28670,f4569]) ).

thf(f72955,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_192
    | ~ spl0_555 ),
    inference(forward_subsumption_resolution,[],[f70022,f9354]) ).

thf(f72959,plain,
    ( ~ spl0_104
    | ~ spl0_63
    | spl0_192
    | ~ spl0_555 ),
    inference(avatar_split_clause,[],[f72955,f50975,f9353,f1029,f3594]) ).

thf(f72997,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f31,f9427]) ).

thf(f73002,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f72997]) ).

thf(f73183,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_524 ),
    inference(constrained_superposition,[],[f42758,f2995]) ).

thf(f73198,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_524 ),
    inference(trivial_inequality_removal,[],[f73183]) ).

thf(f73268,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f2995]) ).

thf(f73276,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f73268]) ).

thf(f73316,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_536 ),
    inference(constrained_superposition,[],[f46213,f2995]) ).

thf(f73322,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_206
    | ~ spl0_536 ),
    inference(constrained_superposition,[],[f46213,f9427]) ).

thf(f73329,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_536 ),
    inference(trivial_inequality_removal,[],[f73316]) ).

thf(f73330,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_206
    | ~ spl0_536 ),
    inference(trivial_inequality_removal,[],[f73322]) ).

thf(f73353,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_603 ),
    inference(constrained_superposition,[],[f70148,f23348]) ).

thf(f73362,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_603 ),
    inference(trivial_inequality_removal,[],[f73353]) ).

thf(f73366,plain,
    ( ~ spl0_428
    | ~ spl0_569
    | ~ spl0_301
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f73362,f70147,f23347,f54931,f31927]) ).

thf(f73368,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f13033,f27740]) ).

thf(f73372,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f73368]) ).

thf(f73376,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_239
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f73372,f61861]) ).

thf(f73377,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_239
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f73376,f27739,f13032,f143,f139]) ).

thf(f73379,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_484 ),
    inference(constrained_superposition,[],[f39826,f35]) ).

thf(f73386,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_484 ),
    inference(trivial_inequality_removal,[],[f73379]) ).

thf(f73433,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_416 ),
    inference(constrained_superposition,[],[f31221,f2995]) ).

thf(f73442,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_416 ),
    inference(trivial_inequality_removal,[],[f73433]) ).

thf(f73581,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f9347,f35]) ).

thf(f73582,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f73581]) ).

thf(f73591,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_615 ),
    inference(constrained_superposition,[],[f72617,f60]) ).

thf(f73595,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_615 ),
    inference(trivial_inequality_removal,[],[f73591]) ).

thf(f73618,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f72666,f27651]) ).

thf(f73620,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f73618]) ).

thf(f73660,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f72744,f35]) ).

thf(f73665,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f73660]) ).

thf(f73711,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f60]) ).

thf(f73716,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f73711]) ).

thf(f73724,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f72926,f24590]) ).

thf(f73725,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f72926,f24129]) ).

thf(f73726,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f73724]) ).

thf(f73731,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f73725]) ).

thf(f73733,definition,
    ( spl0_617
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_617])],[avatar_definition]) ).

thf(f73734,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_617 ),
    inference(avatar_component_clause,[],[f73733]) ).

thf(f73735,plain,
    ( spl0_617
    | ~ spl0_395
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f73726,f27624,f24589,f28670,f73733]) ).

thf(f73736,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f73731,f28659]) ).

thf(f73737,plain,
    ( spl0_401
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f73736,f28658,f27624,f24128,f29118]) ).

thf(f73748,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f72937,f23355]) ).

thf(f73751,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f73748]) ).

thf(f73752,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f73751,f27643]) ).

thf(f73753,plain,
    ( spl0_327
    | ~ spl0_303
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f73752,f27642,f27631,f23354,f24750]) ).

thf(f73832,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_362
    | ~ spl0_593 ),
    inference(constrained_superposition,[],[f61802,f27628]) ).

thf(f73866,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_593 ),
    inference(trivial_inequality_removal,[],[f73832]) ).

thf(f73873,plain,
    ( ~ spl0_428
    | ~ spl0_362
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f73866,f61801,f27627,f31927]) ).

thf(f73895,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_516 ),
    inference(constrained_superposition,[],[f42710,f348]) ).

thf(f73901,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_516 ),
    inference(trivial_inequality_removal,[],[f73895]) ).

thf(f73981,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_548 ),
    inference(constrained_superposition,[],[f49997,f60]) ).

thf(f73986,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_548 ),
    inference(trivial_inequality_removal,[],[f73981]) ).

thf(f73990,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_346
    | ~ spl0_548 ),
    inference(forward_subsumption_resolution,[],[f73986,f25484]) ).

thf(f73991,plain,
    ( ~ spl0_436
    | ~ spl0_443
    | spl0_346
    | ~ spl0_548 ),
    inference(avatar_split_clause,[],[f73990,f49996,f25483,f33721,f32674]) ).

thf(f73993,definition,
    ( spl0_618
  <=> ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_618])],[avatar_definition]) ).

thf(f73994,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_618 ),
    inference(avatar_component_clause,[],[f73993]) ).

thf(f73995,plain,
    ( spl0_223
    | spl0_618
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f73665,f28658,f73993,f11805]) ).

thf(f73996,plain,
    ( ~ spl0_366
    | spl0_327
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f73751,f27631,f23354,f24750,f27642]) ).

thf(f73999,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | spl0_31
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f72749,f534]) ).

thf(f74000,plain,
    ( ~ spl0_193
    | spl0_323
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f73386,f39825,f24554,f9357]) ).

thf(f74001,plain,
    ( ~ spl0_193
    | spl0_386
    | spl0_31
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f73999,f28658,f458,f28190,f9357]) ).

thf(f74005,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f66392,f9358]) ).

thf(f74006,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f72744,f9358]) ).

thf(f74011,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_193
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f74005]) ).

thf(f74013,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f74006]) ).

thf(f74014,plain,
    ( spl0_609
    | ~ spl0_193
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f74011,f27650,f9357,f71084]) ).

thf(f74015,plain,
    ( spl0_618
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f74013,f28658,f9357,f73993]) ).

thf(f74055,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_117
    | ~ spl0_274 ),
    inference(constrained_superposition,[],[f3909,f19551]) ).

thf(f74063,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_117
    | ~ spl0_274 ),
    inference(trivial_inequality_removal,[],[f74055]) ).

thf(f74233,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_544 ),
    inference(constrained_superposition,[],[f47457,f60]) ).

thf(f74238,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_544 ),
    inference(trivial_inequality_removal,[],[f74233]) ).

thf(f74242,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_195
    | ~ spl0_544 ),
    inference(forward_subsumption_resolution,[],[f74238,f28299]) ).

thf(f74243,plain,
    ( ~ spl0_443
    | spl0_195
    | ~ spl0_544 ),
    inference(avatar_split_clause,[],[f74242,f47456,f9369,f33721]) ).

thf(f74245,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_273
    | ~ spl0_524 ),
    inference(forward_subsumption_resolution,[],[f73198,f60608]) ).

thf(f74246,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_273
    | ~ spl0_526 ),
    inference(forward_subsumption_resolution,[],[f73276,f60608]) ).

thf(f74247,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_346
    | ~ spl0_615 ),
    inference(forward_subsumption_resolution,[],[f73595,f25484]) ).

thf(f74248,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_273
    | ~ spl0_536 ),
    inference(forward_subsumption_resolution,[],[f73329,f60608]) ).

thf(f74249,plain,
    ( ~ spl0_145
    | ~ spl0_95
    | spl0_324
    | ~ spl0_416 ),
    inference(avatar_split_clause,[],[f73442,f31220,f24589,f3370,f4569]) ).

thf(f74251,plain,
    ( ~ spl0_377
    | ~ spl0_195
    | ~ spl0_117
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f74063,f19550,f3908,f9369,f27962]) ).

thf(f74252,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | ~ spl0_206
    | ~ spl0_536 ),
    inference(avatar_split_clause,[],[f73330,f46212,f9426,f1029,f97]) ).

thf(f74253,plain,
    ( spl0_99
    | spl0_221
    | ~ spl0_191 ),
    inference(avatar_split_clause,[],[f73582,f9346,f11607,f3385]) ).

thf(f74257,plain,
    ( ~ spl0_99
    | ~ spl0_145
    | spl0_273
    | ~ spl0_524 ),
    inference(avatar_split_clause,[],[f74245,f42757,f19531,f4569,f3385]) ).

thf(f74258,plain,
    ( ~ spl0_110
    | ~ spl0_99
    | spl0_273
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f74246,f42967,f19531,f3385,f3663]) ).

thf(f74259,plain,
    ( ~ spl0_381
    | ~ spl0_4
    | spl0_346
    | ~ spl0_615 ),
    inference(avatar_split_clause,[],[f74247,f72616,f25483,f97,f27981]) ).

thf(f74260,plain,
    ( ~ spl0_145
    | ~ spl0_110
    | spl0_273
    | ~ spl0_536 ),
    inference(avatar_split_clause,[],[f74248,f46212,f19531,f3663,f4569]) ).

thf(f74267,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X2 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f238]) ).

thf(f74269,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f74267]) ).

thf(f74276,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f31,f3555]) ).

thf(f74279,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f74276]) ).

thf(f74280,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true ) )
    | ~ spl0_16 ),
    inference(constrained_superposition,[],[f232,f60]) ).

thf(f74288,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f74280]) ).

thf(f74429,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f26,f24590]) ).

thf(f74432,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f74429]) ).

thf(f74460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f3322,f27628]) ).

thf(f74464,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f1091,f27628]) ).

thf(f74478,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f74460]) ).

thf(f74482,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f74464]) ).

thf(f74532,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_594 ),
    inference(constrained_superposition,[],[f61815,f36]) ).

thf(f74536,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_594 ),
    inference(constrained_superposition,[],[f61815,f27628]) ).

thf(f74545,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_594 ),
    inference(trivial_inequality_removal,[],[f74536]) ).

thf(f74547,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_594 ),
    inference(trivial_inequality_removal,[],[f74532]) ).

thf(f74549,plain,
    ( ~ spl0_430
    | ~ spl0_362
    | ~ spl0_594 ),
    inference(avatar_split_clause,[],[f74545,f61814,f27627,f32398]) ).

thf(f74550,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_192
    | ~ spl0_594 ),
    inference(forward_subsumption_resolution,[],[f74547,f9354]) ).

thf(f74551,plain,
    ( $false
    | ~ spl0_99
    | spl0_192
    | ~ spl0_594 ),
    inference(forward_subsumption_resolution,[],[f74550,f3555]) ).

thf(f74552,plain,
    ( ~ spl0_99
    | spl0_192
    | ~ spl0_594 ),
    inference(avatar_contradiction_clause,[],[f74551]) ).

thf(f74560,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f73620,f28671]) ).

thf(f74569,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f74560]) ).

thf(f74665,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_603 ),
    inference(constrained_superposition,[],[f70148,f2996]) ).

thf(f74672,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_603 ),
    inference(trivial_inequality_removal,[],[f74665]) ).

thf(f74676,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_310
    | ~ spl0_603 ),
    inference(forward_subsumption_resolution,[],[f74672,f34435]) ).

thf(f74677,plain,
    ( ~ spl0_163
    | ~ spl0_145
    | spl0_310
    | ~ spl0_603 ),
    inference(avatar_split_clause,[],[f74676,f70147,f24143,f4569,f5933]) ).

thf(f74709,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_575 ),
    inference(constrained_superposition,[],[f60735,f348]) ).

thf(f74715,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_575 ),
    inference(trivial_inequality_removal,[],[f74709]) ).

thf(f74724,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_578 ),
    inference(constrained_superposition,[],[f60868,f2995]) ).

thf(f74735,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_578 ),
    inference(trivial_inequality_removal,[],[f74724]) ).

thf(f74761,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_581 ),
    inference(constrained_superposition,[],[f61232,f349]) ).

thf(f74768,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_581 ),
    inference(trivial_inequality_removal,[],[f74761]) ).

thf(f74961,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f74269,f59]) ).

thf(f74962,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f74961]) ).

thf(f74969,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_373 ),
    inference(constrained_superposition,[],[f27947,f348]) ).

thf(f74983,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_373 ),
    inference(trivial_inequality_removal,[],[f74969]) ).

thf(f75027,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_156 ),
    inference(constrained_superposition,[],[f5503,f349]) ).

thf(f75031,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_156 ),
    inference(trivial_inequality_removal,[],[f75027]) ).

thf(f75043,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f74279,f349]) ).

thf(f75046,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f75043]) ).

thf(f75080,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f73002,f349]) ).

thf(f75090,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f75080]) ).

thf(f75112,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f74432,f25492]) ).

thf(f75113,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f74432,f35]) ).

thf(f75123,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f75112]) ).

thf(f75124,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f75113]) ).

thf(f75176,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f74962,f348]) ).

thf(f75187,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f75176]) ).

thf(f75236,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_511 ),
    inference(constrained_superposition,[],[f42362,f36]) ).

thf(f75241,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_511 ),
    inference(constrained_superposition,[],[f42362,f2996]) ).

thf(f75243,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_511 ),
    inference(constrained_superposition,[],[f42362,f60]) ).

thf(f75244,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_511 ),
    inference(trivial_inequality_removal,[],[f75241]) ).

thf(f75250,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_511 ),
    inference(trivial_inequality_removal,[],[f75236]) ).

thf(f75252,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_511 ),
    inference(trivial_inequality_removal,[],[f75243]) ).

thf(f75253,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true ) )
    | spl0_192
    | ~ spl0_511 ),
    inference(forward_subsumption_resolution,[],[f75250,f9354]) ).

thf(f75255,definition,
    ( spl0_619
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_619])],[avatar_definition]) ).

thf(f75256,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_619 ),
    inference(avatar_component_clause,[],[f75255]) ).

thf(f75257,plain,
    ( ~ spl0_63
    | spl0_619
    | spl0_192
    | ~ spl0_511 ),
    inference(avatar_split_clause,[],[f75253,f42361,f9353,f75255,f1029]) ).

thf(f75263,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_619 ),
    inference(constrained_superposition,[],[f75256,f27628]) ).

thf(f75267,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_619 ),
    inference(trivial_inequality_removal,[],[f75263]) ).

thf(f75283,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_440 ),
    inference(constrained_superposition,[],[f32935,f348]) ).

thf(f75295,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_440 ),
    inference(trivial_inequality_removal,[],[f75283]) ).

thf(f75298,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(constrained_superposition,[],[f27974,f36]) ).

thf(f75304,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(constrained_superposition,[],[f27974,f349]) ).

thf(f75305,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(constrained_superposition,[],[f27974,f60]) ).

thf(f75306,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(trivial_inequality_removal,[],[f75305]) ).

thf(f75311,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_379 ),
    inference(trivial_inequality_removal,[],[f75304]) ).

thf(f75315,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_379 ),
    inference(trivial_inequality_removal,[],[f75298]) ).

thf(f75323,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_478 ),
    inference(constrained_superposition,[],[f39258,f349]) ).

thf(f75324,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_478 ),
    inference(constrained_superposition,[],[f39258,f60]) ).

thf(f75325,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_478 ),
    inference(trivial_inequality_removal,[],[f75324]) ).

thf(f75334,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_478 ),
    inference(trivial_inequality_removal,[],[f75323]) ).

thf(f75336,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_510 ),
    inference(constrained_superposition,[],[f42357,f36]) ).

thf(f75340,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_364
    | ~ spl0_510 ),
    inference(constrained_superposition,[],[f42357,f27635]) ).

thf(f75341,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_510 ),
    inference(constrained_superposition,[],[f42357,f2996]) ).

thf(f75343,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_510 ),
    inference(constrained_superposition,[],[f42357,f60]) ).

thf(f75345,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_510 ),
    inference(trivial_inequality_removal,[],[f75336]) ).

thf(f75346,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_364
    | ~ spl0_510 ),
    inference(trivial_inequality_removal,[],[f75340]) ).

thf(f75347,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_510 ),
    inference(trivial_inequality_removal,[],[f75343]) ).

thf(f75349,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_510 ),
    inference(trivial_inequality_removal,[],[f75341]) ).

thf(f75353,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | spl0_360
    | ~ spl0_510 ),
    inference(forward_subsumption_resolution,[],[f75345,f27594]) ).

thf(f75354,plain,
    ( spl0_522
    | ~ spl0_393
    | ~ spl0_364
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f75346,f42356,f27634,f28663,f42743]) ).

thf(f75356,definition,
    ( spl0_620
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_620])],[avatar_definition]) ).

thf(f75357,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_620 ),
    inference(avatar_component_clause,[],[f75356]) ).

thf(f75358,plain,
    ( spl0_620
    | ~ spl0_63
    | spl0_360
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f75353,f42356,f27593,f1029,f75356]) ).

thf(f75364,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_620 ),
    inference(constrained_superposition,[],[f75357,f27635]) ).

thf(f75369,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_620 ),
    inference(trivial_inequality_removal,[],[f75364]) ).

thf(f75377,plain,
    ( ~ spl0_393
    | ~ spl0_388
    | ~ spl0_364
    | ~ spl0_620 ),
    inference(avatar_split_clause,[],[f75369,f75356,f27634,f28279,f28663]) ).

thf(f75378,plain,
    ( ~ spl0_110
    | ~ spl0_62
    | spl0_315
    | ~ spl0_581 ),
    inference(avatar_split_clause,[],[f74768,f61231,f24160,f1025,f3663]) ).

thf(f75381,plain,
    ( ~ spl0_424
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_619 ),
    inference(avatar_split_clause,[],[f75267,f75255,f27627,f31359,f31534]) ).

thf(f75382,plain,
    ( spl0_558
    | spl0_420
    | ~ spl0_110
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f75349,f42356,f3663,f31355,f51229]) ).

thf(f75383,plain,
    ( spl0_42
    | spl0_315
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f75090,f9426,f24160,f693]) ).

thf(f75384,plain,
    ( spl0_20
    | spl0_29
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f75187,f97,f420,f387]) ).

thf(f75385,plain,
    ( spl0_86
    | ~ spl0_31
    | spl0_172
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f75031,f5502,f6589,f458,f3337]) ).

thf(f75387,plain,
    ( spl0_377
    | ~ spl0_110
    | ~ spl0_31
    | ~ spl0_575 ),
    inference(avatar_split_clause,[],[f74715,f60734,f458,f3663,f27962]) ).

thf(f75388,plain,
    ( ~ spl0_163
    | spl0_274
    | ~ spl0_95
    | ~ spl0_578 ),
    inference(avatar_split_clause,[],[f74735,f60867,f3370,f19550,f5933]) ).

thf(f75391,plain,
    ( spl0_576
    | ~ spl0_436
    | spl0_346
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f75325,f39257,f25483,f32674,f60738]) ).

thf(f75396,plain,
    ( ~ spl0_163
    | spl0_377
    | ~ spl0_110
    | ~ spl0_373 ),
    inference(avatar_split_clause,[],[f74983,f27946,f3663,f27962,f5933]) ).

thf(f75397,plain,
    ( spl0_274
    | spl0_317
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f74478,f27627,f24170,f19550]) ).

thf(f75399,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f74569,f3352]) ).

thf(f75400,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f75124,f3352]) ).

thf(f75401,plain,
    ( ~ spl0_32
    | spl0_376
    | spl0_377
    | ~ spl0_440 ),
    inference(avatar_split_clause,[],[f75295,f32934,f27962,f27959,f490]) ).

thf(f75402,plain,
    ( spl0_86
    | spl0_42
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f75046,f3385,f693,f3337]) ).

thf(f75404,plain,
    ( ~ spl0_31
    | ~ spl0_305
    | spl0_306
    | ~ spl0_516 ),
    inference(avatar_split_clause,[],[f73901,f42709,f24128,f24125,f458]) ).

thf(f75405,plain,
    ( spl0_574
    | ~ spl0_468
    | spl0_418
    | ~ spl0_478 ),
    inference(avatar_split_clause,[],[f75334,f39257,f31348,f35753,f60730]) ).

thf(f75407,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_362
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f74482,f39829]) ).

thf(f75410,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_90
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(forward_subsumption_resolution,[],[f75123,f3352]) ).

thf(f75413,definition,
    ( spl0_621
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_621])],[avatar_definition]) ).

thf(f75414,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_621 ),
    inference(avatar_component_clause,[],[f75413]) ).

thf(f75415,plain,
    ( spl0_621
    | ~ spl0_62
    | spl0_346
    | ~ spl0_510 ),
    inference(avatar_split_clause,[],[f75347,f42356,f25483,f1025,f75413]) ).

thf(f75417,plain,
    ( ~ spl0_310
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f75399,f28670,f27650,f9373,f3351,f24143]) ).

thf(f75418,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_90
    | spl0_323
    | ~ spl0_324 ),
    inference(forward_subsumption_resolution,[],[f75400,f31536]) ).

thf(f75419,plain,
    ( ~ spl0_421
    | spl0_512
    | ~ spl0_362
    | spl0_392 ),
    inference(avatar_split_clause,[],[f75407,f28658,f27627,f42372,f31359]) ).

thf(f75420,plain,
    ( spl0_103
    | ~ spl0_90
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f75410,f25491,f24589,f3351,f3425]) ).

thf(f75421,plain,
    ( spl0_103
    | ~ spl0_90
    | spl0_323
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f75418,f24589,f24554,f3351,f3425]) ).

thf(f75424,plain,
    ( spl0_195
    | spl0_530
    | ~ spl0_62
    | ~ spl0_511 ),
    inference(avatar_split_clause,[],[f75252,f42361,f1025,f45412,f9369]) ).

thf(f75425,plain,
    ( ~ spl0_110
    | spl0_395
    | spl0_531
    | ~ spl0_511 ),
    inference(avatar_split_clause,[],[f75244,f42361,f45416,f28670,f3663]) ).

thf(f75426,plain,
    ( spl0_200
    | ~ spl0_62
    | spl0_532
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f73716,f41384,f45446,f1025,f9396]) ).

thf(f75429,plain,
    ( spl0_554
    | spl0_195
    | ~ spl0_145
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f75306,f27973,f4569,f9369,f50971]) ).

thf(f75550,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_310
    | ~ spl0_552 ),
    inference(constrained_superposition,[],[f50691,f24144]) ).

thf(f75551,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f26,f24144]) ).

thf(f75552,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_552 ),
    inference(trivial_inequality_removal,[],[f75550]) ).

thf(f75554,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f75551]) ).

thf(f75596,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f63470,f27640]) ).

thf(f75597,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_365
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f27640]) ).

thf(f75598,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_365
    | ~ spl0_606 ),
    inference(constrained_superposition,[],[f71034,f27640]) ).

thf(f75606,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f74962,f27640]) ).

thf(f75615,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f75606]) ).

thf(f75622,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f75596]) ).

thf(f75623,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_606 ),
    inference(trivial_inequality_removal,[],[f75598]) ).

thf(f75624,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_365
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f75597]) ).

thf(f75633,plain,
    ( ~ spl0_436
    | ~ spl0_365
    | ~ spl0_606 ),
    inference(avatar_split_clause,[],[f75623,f71033,f27639,f32674]) ).

thf(f75634,plain,
    ( ~ spl0_393
    | spl0_527
    | ~ spl0_365
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f75624,f41384,f27639,f43213,f28663]) ).

thf(f75723,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f3322,f23358]) ).

thf(f75725,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f6155,f23358]) ).

thf(f75729,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_4
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f74962,f23358]) ).

thf(f75733,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f53,f23358]) ).

thf(f75741,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f75723]) ).

thf(f75744,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f75733]) ).

thf(f75746,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f75725]) ).

thf(f75751,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f75729]) ).

thf(f75836,plain,
    ( ~ spl0_90
    | ~ spl0_100
    | ~ spl0_310
    | ~ spl0_552 ),
    inference(avatar_split_clause,[],[f75552,f50690,f24143,f3413,f3351]) ).

thf(f75837,plain,
    ( spl0_411
    | spl0_324
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f75741,f23357,f24589,f30483]) ).

thf(f75838,plain,
    ( ~ spl0_104
    | spl0_553
    | spl0_192
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f75315,f27973,f9353,f50967,f3594]) ).

thf(f75839,plain,
    ( spl0_383
    | ~ spl0_313
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f75622,f27639,f223,f24153,f27996]) ).

thf(f75842,plain,
    ( ~ spl0_396
    | spl0_394
    | spl0_420
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f75746,f23357,f31355,f28667,f28673]) ).

thf(f75843,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(forward_subsumption_resolution,[],[f75751,f9427]) ).

thf(f75844,plain,
    ( ~ spl0_163
    | spl0_392
    | spl0_555
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f75311,f27973,f50975,f28658,f5933]) ).

thf(f75847,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(forward_subsumption_resolution,[],[f75744,f9427]) ).

thf(f75850,plain,
    ( ~ spl0_223
    | spl0_562
    | spl0_370
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f75615,f27639,f97,f27739,f51540,f11805]) ).

thf(f75851,plain,
    ( spl0_371
    | spl0_565
    | ~ spl0_4
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f75843,f23357,f9426,f97,f52332,f27743]) ).

thf(f75852,plain,
    ( spl0_340
    | spl0_360
    | ~ spl0_206
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f75847,f23357,f9426,f27593,f25094]) ).

thf(f75865,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_16
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f74288,f11806]) ).

thf(f75873,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_16
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f75865]) ).

thf(f75874,plain,
    ( ~ spl0_388
    | spl0_195
    | ~ spl0_16
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f75873,f11805,f231,f9369,f28279]) ).

thf(f75879,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f26,f29197]) ).

thf(f75880,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f75879]) ).

thf(f75928,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f72666,f19532]) ).

thf(f75932,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f75928]) ).

thf(f75995,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(constrained_superposition,[],[f71085,f28671]) ).

thf(f76003,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(trivial_inequality_removal,[],[f75995]) ).

thf(f76004,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_273
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(forward_subsumption_resolution,[],[f76003,f19532]) ).

thf(f76005,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_273
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(forward_subsumption_resolution,[],[f76004,f3414]) ).

thf(f76006,plain,
    ( ~ spl0_100
    | ~ spl0_273
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(avatar_contradiction_clause,[],[f76005]) ).

thf(f76112,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_511 ),
    inference(constrained_superposition,[],[f42362,f27628]) ).

thf(f76132,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_511 ),
    inference(trivial_inequality_removal,[],[f76112]) ).

thf(f76142,plain,
    ( spl0_509
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_511 ),
    inference(avatar_split_clause,[],[f76132,f42361,f27627,f31359,f42352]) ).

thf(f76152,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_4
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f74962,f27635]) ).

thf(f76163,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f76152]) ).

thf(f76218,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f9412,f28659]) ).

thf(f76224,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_203
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f76218]) ).

thf(f76248,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_607 ),
    inference(constrained_superposition,[],[f71048,f27635]) ).

thf(f76258,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_607 ),
    inference(trivial_inequality_removal,[],[f76248]) ).

thf(f76263,plain,
    ( $false
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_607 ),
    inference(forward_subsumption_resolution,[],[f76258,f27640]) ).

thf(f76264,plain,
    ( ~ spl0_364
    | ~ spl0_365
    | ~ spl0_607 ),
    inference(avatar_contradiction_clause,[],[f76263]) ).

thf(f76293,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f75932,f23351]) ).

thf(f76296,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f76293]) ).

thf(f76300,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f76296,f39259]) ).

thf(f76301,plain,
    ( $false
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f76300,f24590]) ).

thf(f76302,plain,
    ( ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(avatar_contradiction_clause,[],[f76301]) ).

thf(f76338,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_340 ),
    inference(constrained_superposition,[],[f25095,f2995]) ).

thf(f76339,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_340 ),
    inference(constrained_superposition,[],[f25095,f348]) ).

thf(f76341,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_340 ),
    inference(constrained_superposition,[],[f25095,f59]) ).

thf(f76349,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_340 ),
    inference(trivial_inequality_removal,[],[f76338]) ).

thf(f76351,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_340 ),
    inference(trivial_inequality_removal,[],[f76341]) ).

thf(f76352,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_340 ),
    inference(trivial_inequality_removal,[],[f76339]) ).

thf(f76407,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_530 ),
    inference(constrained_superposition,[],[f45413,f27628]) ).

thf(f76415,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_362
    | ~ spl0_530 ),
    inference(trivial_inequality_removal,[],[f76407]) ).

thf(f76422,plain,
    ( ~ spl0_421
    | ~ spl0_428
    | ~ spl0_362
    | ~ spl0_530 ),
    inference(avatar_split_clause,[],[f76415,f45412,f27627,f31927,f31359]) ).

thf(f76500,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_364
    | ~ spl0_565 ),
    inference(constrained_superposition,[],[f52333,f27635]) ).

thf(f76510,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_565 ),
    inference(trivial_inequality_removal,[],[f76500]) ).

thf(f76513,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f76510,f11806]) ).

thf(f76514,plain,
    ( $false
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_565 ),
    inference(forward_subsumption_resolution,[],[f76513,f27640]) ).

thf(f76515,plain,
    ( ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_565 ),
    inference(avatar_contradiction_clause,[],[f76514]) ).

thf(f76521,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_608 ),
    inference(constrained_superposition,[],[f71069,f27635]) ).

thf(f76528,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_364
    | ~ spl0_608 ),
    inference(trivial_inequality_removal,[],[f76521]) ).

thf(f76534,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_608 ),
    inference(forward_subsumption_resolution,[],[f76528,f27648]) ).

thf(f76535,plain,
    ( $false
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_608 ),
    inference(forward_subsumption_resolution,[],[f76534,f11806]) ).

thf(f76536,plain,
    ( ~ spl0_223
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_608 ),
    inference(avatar_contradiction_clause,[],[f76535]) ).

thf(f76635,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_558 ),
    inference(constrained_superposition,[],[f51230,f60]) ).

thf(f76643,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_558 ),
    inference(trivial_inequality_removal,[],[f76635]) ).

thf(f76709,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_314 ),
    inference(constrained_superposition,[],[f24157,f60]) ).

thf(f76711,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_314 ),
    inference(trivial_inequality_removal,[],[f76709]) ).

thf(f76723,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_513 ),
    inference(constrained_superposition,[],[f42647,f59]) ).

thf(f76736,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_513 ),
    inference(trivial_inequality_removal,[],[f76723]) ).

thf(f76750,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_509 ),
    inference(constrained_superposition,[],[f42353,f59]) ).

thf(f76758,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_509 ),
    inference(trivial_inequality_removal,[],[f76750]) ).

thf(f76802,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f75880,f35]) ).

thf(f76807,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f76802]) ).

thf(f76873,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_425 ),
    inference(constrained_superposition,[],[f31671,f349]) ).

thf(f76874,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_425 ),
    inference(constrained_superposition,[],[f31671,f60]) ).

thf(f76878,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_425 ),
    inference(trivial_inequality_removal,[],[f76873]) ).

thf(f76883,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_425 ),
    inference(trivial_inequality_removal,[],[f76874]) ).

thf(f76945,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f75554,f24140]) ).

thf(f76947,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f76945]) ).

thf(f76953,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f76947,f9401]) ).

thf(f76954,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f76953]) ).

thf(f76959,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f76954,f398]) ).

thf(f76960,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f76959,f3414]) ).

thf(f76961,plain,
    ( ~ spl0_23
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(avatar_contradiction_clause,[],[f76960]) ).

thf(f76963,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_203
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f76224,f398]) ).

thf(f76967,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_203
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f76963,f28658,f9411,f397,f387]) ).

thf(f76968,plain,
    ( spl0_371
    | ~ spl0_436
    | ~ spl0_62
    | ~ spl0_509 ),
    inference(avatar_split_clause,[],[f76758,f42352,f1025,f32674,f27743]) ).

thf(f76970,plain,
    ( ~ spl0_436
    | ~ spl0_145
    | spl0_346
    | ~ spl0_425 ),
    inference(avatar_split_clause,[],[f76883,f31670,f25483,f4569,f32674]) ).

thf(f76972,plain,
    ( ~ spl0_62
    | spl0_371
    | ~ spl0_443
    | ~ spl0_513 ),
    inference(avatar_split_clause,[],[f76736,f42646,f33721,f27743,f1025]) ).

thf(f76973,plain,
    ( ~ spl0_62
    | spl0_346
    | ~ spl0_443
    | ~ spl0_314 ),
    inference(avatar_split_clause,[],[f76711,f24156,f33721,f25483,f1025]) ).

thf(f76974,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364 ),
    inference(forward_subsumption_resolution,[],[f76163,f11806]) ).

thf(f76975,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_163
    | ~ spl0_425 ),
    inference(avatar_split_clause,[],[f76878,f31670,f5933,f35753,f31348]) ).

thf(f76976,plain,
    ( spl0_346
    | ~ spl0_95
    | ~ spl0_62
    | ~ spl0_558 ),
    inference(avatar_split_clause,[],[f76643,f51229,f1025,f3370,f25483]) ).

thf(f76978,plain,
    ( spl0_371
    | spl0_564
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f76974,f27634,f11805,f97,f52327,f27743]) ).

thf(f77063,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f2995]) ).

thf(f77066,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f59]) ).

thf(f77071,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f77066]) ).

thf(f77072,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f77063]) ).

thf(f77083,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_526 ),
    inference(forward_subsumption_resolution,[],[f77071,f238]) ).

thf(f77085,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_273
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f77072,f42967,f19531,f3663,f3385]) ).

thf(f77086,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | spl0_273
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f76349,f25094,f19531,f3594,f3385]) ).

thf(f77087,plain,
    ( ~ spl0_62
    | spl0_370
    | ~ spl0_4
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f77083,f42967,f97,f27739,f1025]) ).

thf(f77183,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f63772,f25499]) ).

thf(f77188,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_1
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f77183]) ).

thf(f77399,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_614 ),
    inference(constrained_superposition,[],[f72610,f2996]) ).

thf(f77405,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_614 ),
    inference(trivial_inequality_removal,[],[f77399]) ).

thf(f77411,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_420
    | ~ spl0_614 ),
    inference(forward_subsumption_resolution,[],[f77405,f56677]) ).

thf(f77412,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_99
    | spl0_420
    | ~ spl0_614 ),
    inference(forward_subsumption_resolution,[],[f77411,f3555]) ).

thf(f77413,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | spl0_420
    | ~ spl0_614 ),
    inference(avatar_split_clause,[],[f77412,f72609,f31355,f3385,f3370]) ).

thf(f77415,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f77188,f31349]) ).

thf(f77423,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f77415]) ).

thf(f77424,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f77423,f388]) ).

thf(f77425,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f77424,f398]) ).

thf(f77426,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(avatar_contradiction_clause,[],[f77425]) ).

thf(f77427,plain,
    ( $false
    | ~ spl0_12
    | spl0_360 ),
    inference(forward_subsumption_resolution,[],[f27594,f202]) ).

thf(f77428,plain,
    ( ~ spl0_12
    | spl0_360 ),
    inference(avatar_contradiction_clause,[],[f77427]) ).

thf(f77486,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f26,f24161]) ).

thf(f77488,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f77486]) ).

thf(f77584,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_395
    | ~ spl0_618 ),
    inference(constrained_superposition,[],[f73994,f28671]) ).

thf(f77587,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_395
    | ~ spl0_618 ),
    inference(trivial_inequality_removal,[],[f77584]) ).

thf(f77635,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f63470,f27648]) ).

thf(f77636,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_379 ),
    inference(constrained_superposition,[],[f27974,f27648]) ).

thf(f77637,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_511 ),
    inference(constrained_superposition,[],[f42362,f27648]) ).

thf(f77642,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f1091,f27648]) ).

thf(f77647,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f216,f27648]) ).

thf(f77657,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f77647]) ).

thf(f77658,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_379 ),
    inference(trivial_inequality_removal,[],[f77636]) ).

thf(f77665,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_511 ),
    inference(trivial_inequality_removal,[],[f77637]) ).

thf(f77667,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f77642]) ).

thf(f77669,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f77635]) ).

thf(f77670,plain,
    ( ~ spl0_396
    | spl0_375
    | ~ spl0_367
    | ~ spl0_379 ),
    inference(avatar_split_clause,[],[f77658,f27973,f27647,f27955,f28673]) ).

thf(f77671,plain,
    ( ~ spl0_305
    | spl0_502
    | ~ spl0_367
    | ~ spl0_511 ),
    inference(avatar_split_clause,[],[f77665,f42361,f27647,f41391,f24125]) ).

thf(f77704,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_196
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f72666,f23355]) ).

thf(f77713,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_196
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f77704]) ).

thf(f77760,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f63470,f27635]) ).

thf(f77771,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f216,f27635]) ).

thf(f77778,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f77771]) ).

thf(f77784,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f77760]) ).

thf(f77863,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_5
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f101,f27635]) ).

thf(f77865,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_5
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f101,f27648]) ).

thf(f77869,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_5
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f77865]) ).

thf(f77875,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_5
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f77863]) ).

thf(f77955,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_557 ),
    inference(constrained_superposition,[],[f51027,f348]) ).

thf(f77962,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_557 ),
    inference(trivial_inequality_removal,[],[f77955]) ).

thf(f77971,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_309
    | ~ spl0_557 ),
    inference(forward_subsumption_resolution,[],[f77962,f24450]) ).

thf(f77973,plain,
    ( ~ spl0_62
    | ~ spl0_163
    | spl0_309
    | ~ spl0_557 ),
    inference(avatar_split_clause,[],[f77971,f51026,f24139,f5933,f1025]) ).

thf(f77988,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_335 ),
    inference(constrained_superposition,[],[f25012,f29197]) ).

thf(f77992,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_335 ),
    inference(trivial_inequality_removal,[],[f77988]) ).

thf(f78098,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_385
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f28186,f28671]) ).

thf(f78100,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_385 ),
    inference(constrained_superposition,[],[f28186,f29197]) ).

thf(f78101,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_385
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f78098]) ).

thf(f78103,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_385 ),
    inference(trivial_inequality_removal,[],[f78100]) ).

thf(f78106,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f77713,f25499]) ).

thf(f78108,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f78106]) ).

thf(f78109,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f78108,f77]) ).

thf(f78110,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f78109,f9397]) ).

thf(f78111,plain,
    ( ~ spl0_1
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f78110]) ).

thf(f78113,plain,
    ( ~ spl0_310
    | ~ spl0_87
    | ~ spl0_385
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f78101,f28670,f28185,f3341,f24143]) ).

thf(f78114,plain,
    ( spl0_515
    | spl0_346
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f77778,f27634,f25483,f42703]) ).

thf(f78116,definition,
    ( spl0_622
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_622])],[avatar_definition]) ).

thf(f78117,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_622 ),
    inference(avatar_component_clause,[],[f78116]) ).

thf(f78118,plain,
    ( spl0_1
    | spl0_622
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f68308,f223,f78116,f76]) ).

thf(f78120,plain,
    ( ~ spl0_19
    | spl0_370
    | ~ spl0_4
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f76351,f25094,f97,f27739,f278]) ).

thf(f78121,plain,
    ( spl0_370
    | ~ spl0_381
    | ~ spl0_14
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f77669,f27647,f223,f27981,f27739]) ).

thf(f78123,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_309
    | ~ spl0_340 ),
    inference(forward_subsumption_resolution,[],[f76352,f24450]) ).

thf(f78128,plain,
    ( ~ spl0_196
    | ~ spl0_10
    | ~ spl0_192
    | ~ spl0_385 ),
    inference(avatar_split_clause,[],[f78103,f28185,f9353,f143,f9373]) ).

thf(f78130,plain,
    ( ~ spl0_305
    | spl0_392
    | spl0_506
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f77667,f27647,f41419,f28658,f24125]) ).

thf(f78132,plain,
    ( ~ spl0_100
    | ~ spl0_86
    | ~ spl0_395
    | ~ spl0_618 ),
    inference(avatar_split_clause,[],[f77587,f73993,f28670,f3337,f3413]) ).

thf(f78134,plain,
    ( spl0_383
    | ~ spl0_308
    | ~ spl0_14
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f77784,f27634,f223,f24136,f27996]) ).

thf(f78135,plain,
    ( ~ spl0_381
    | spl0_371
    | ~ spl0_5
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f77875,f27634,f100,f27743,f27981]) ).

thf(f78136,plain,
    ( spl0_195
    | spl0_459
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f77657,f27647,f34271,f9369]) ).

thf(f78137,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_335 ),
    inference(avatar_split_clause,[],[f77992,f25011,f9353,f397,f143]) ).

thf(f78138,plain,
    ( spl0_223
    | spl0_528
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f76807,f9353,f44636,f11805]) ).

thf(f78139,plain,
    ( spl0_383
    | ~ spl0_313
    | ~ spl0_5
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f77869,f27647,f100,f24153,f27996]) ).

thf(f78142,plain,
    ( ~ spl0_63
    | ~ spl0_31
    | spl0_309
    | ~ spl0_340 ),
    inference(avatar_split_clause,[],[f78123,f25094,f24139,f458,f1029]) ).

thf(f78162,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f43,f388]) ).

thf(f78163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f26,f388]) ).

thf(f78164,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f78162]) ).

thf(f78165,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f78163]) ).

thf(f78166,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f78164,f61861]) ).

thf(f78167,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_10
    | ~ spl0_20
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f78166,f534]) ).

thf(f78168,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f78167,f458,f387,f143,f139]) ).

thf(f78237,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_86 ),
    inference(constrained_superposition,[],[f43,f3338]) ).

thf(f78239,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_86 ),
    inference(trivial_inequality_removal,[],[f78237]) ).

thf(f78274,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f43,f27740]) ).

thf(f78275,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f26,f27740]) ).

thf(f78276,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f78274]) ).

thf(f78277,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f78275]) ).

thf(f78319,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f26,f19532]) ).

thf(f78322,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f78319]) ).

thf(f78472,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_618 ),
    inference(constrained_superposition,[],[f73994,f27625]) ).

thf(f78473,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f26,f27625]) ).

thf(f78479,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_618 ),
    inference(trivial_inequality_removal,[],[f78472]) ).

thf(f78481,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f78473]) ).

thf(f78542,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_130
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f4280,f19532]) ).

thf(f78544,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_130
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f78542]) ).

thf(f78547,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_130
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f78544,f27740]) ).

thf(f78548,plain,
    ( $false
    | ~ spl0_130
    | ~ spl0_273
    | ~ spl0_315
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f78547,f24161]) ).

thf(f78549,plain,
    ( ~ spl0_130
    | ~ spl0_273
    | ~ spl0_315
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f78548]) ).

thf(f78556,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_31
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[],[f78239,f534]) ).

thf(f78563,plain,
    ( ~ spl0_100
    | spl0_103
    | spl0_31
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f78556,f3337,f458,f3425,f3413]) ).

thf(f78711,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_537 ),
    inference(constrained_superposition,[],[f46237,f348]) ).

thf(f78721,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_537 ),
    inference(trivial_inequality_removal,[],[f78711]) ).

thf(f78730,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_198
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f9383,f24161]) ).

thf(f78733,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f78730]) ).

thf(f78743,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_576 ),
    inference(constrained_superposition,[],[f60739,f2995]) ).

thf(f78744,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_576 ),
    inference(constrained_superposition,[],[f60739,f348]) ).

thf(f78754,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_576 ),
    inference(trivial_inequality_removal,[],[f78744]) ).

thf(f78755,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_576 ),
    inference(trivial_inequality_removal,[],[f78743]) ).

thf(f78826,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_574 ),
    inference(constrained_superposition,[],[f60731,f59]) ).

thf(f78830,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_574 ),
    inference(trivial_inequality_removal,[],[f78826]) ).

thf(f78848,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_568 ),
    inference(constrained_superposition,[],[f52667,f348]) ).

thf(f78859,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_568 ),
    inference(trivial_inequality_removal,[],[f78848]) ).

thf(f78866,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f78165,f24161]) ).

thf(f78870,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f78866]) ).

thf(f78876,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_315
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f78870,f27740]) ).

thf(f78877,plain,
    ( spl0_387
    | ~ spl0_20
    | ~ spl0_315
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f78876,f27739,f24160,f387,f28200]) ).

thf(f78892,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_530 ),
    inference(constrained_superposition,[],[f45413,f2996]) ).

thf(f78901,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_530 ),
    inference(trivial_inequality_removal,[],[f78892]) ).

thf(f78904,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_395
    | ~ spl0_530 ),
    inference(forward_subsumption_resolution,[],[f78901,f39832]) ).

thf(f78905,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_395
    | ~ spl0_530 ),
    inference(avatar_split_clause,[],[f78904,f45412,f28670,f4569,f3663]) ).

thf(f78941,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_620 ),
    inference(constrained_superposition,[],[f75357,f2996]) ).

thf(f78950,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_620 ),
    inference(trivial_inequality_removal,[],[f78941]) ).

thf(f78952,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_420
    | ~ spl0_620 ),
    inference(forward_subsumption_resolution,[],[f78950,f56677]) ).

thf(f78953,plain,
    ( ~ spl0_110
    | ~ spl0_104
    | spl0_420
    | ~ spl0_620 ),
    inference(avatar_split_clause,[],[f78952,f75356,f31355,f3594,f3663]) ).

thf(f78964,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_507 ),
    inference(constrained_superposition,[],[f41425,f2995]) ).

thf(f78967,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_507 ),
    inference(constrained_superposition,[],[f41425,f59]) ).

thf(f78972,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_507 ),
    inference(trivial_inequality_removal,[],[f78964]) ).

thf(f78973,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_507 ),
    inference(trivial_inequality_removal,[],[f78967]) ).

thf(f79019,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_621 ),
    inference(constrained_superposition,[],[f75414,f2996]) ).

thf(f79025,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_621 ),
    inference(trivial_inequality_removal,[],[f79019]) ).

thf(f79030,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_420
    | ~ spl0_621 ),
    inference(forward_subsumption_resolution,[],[f79025,f56677]) ).

thf(f79031,plain,
    ( ~ spl0_145
    | ~ spl0_110
    | spl0_420
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f79030,f75413,f31355,f3663,f4569]) ).

thf(f79032,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f78277,f35]) ).

thf(f79035,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f78277,f19532]) ).

thf(f79036,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f79035]) ).

thf(f79040,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f79032]) ).

thf(f79049,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_531 ),
    inference(constrained_superposition,[],[f45417,f60]) ).

thf(f79055,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_531 ),
    inference(trivial_inequality_removal,[],[f79049]) ).

thf(f79059,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_195
    | ~ spl0_531 ),
    inference(forward_subsumption_resolution,[],[f79055,f28299]) ).

thf(f79060,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_195
    | ~ spl0_531 ),
    inference(avatar_split_clause,[],[f79059,f45416,f9369,f3370,f1025]) ).

thf(f79103,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_502 ),
    inference(constrained_superposition,[],[f41392,f2996]) ).

thf(f79106,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_502 ),
    inference(trivial_inequality_removal,[],[f79103]) ).

thf(f79193,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f78322,f35]) ).

thf(f79201,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f79193]) ).

thf(f79204,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_303
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f77488,f23355]) ).

thf(f79207,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f79204]) ).

thf(f79221,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f79207,f27632]) ).

thf(f79222,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f79221]) ).

thf(f79224,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f79222,f28659]) ).

thf(f79225,plain,
    ( $false
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363
    | ~ spl0_366
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f79224,f27643]) ).

thf(f79226,plain,
    ( ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363
    | ~ spl0_366
    | ~ spl0_392 ),
    inference(avatar_contradiction_clause,[],[f79225]) ).

thf(f79227,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_198
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f78733,f24160,f9382,f397,f387]) ).

thf(f79229,plain,
    ( ~ spl0_63
    | spl0_309
    | ~ spl0_32
    | ~ spl0_537 ),
    inference(avatar_split_clause,[],[f78721,f46236,f490,f24139,f1029]) ).

thf(f79274,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f78277,f24140]) ).

thf(f79276,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f43,f24140]) ).

thf(f79277,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f26,f24140]) ).

thf(f79278,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f79274]) ).

thf(f79279,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f79277]) ).

thf(f79284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f79276]) ).

thf(f79289,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f26,f25492]) ).

thf(f79292,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X1 )
         != $true ) )
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f79289]) ).

thf(f79301,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f43,f27744]) ).

thf(f79303,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f26,f27744]) ).

thf(f79304,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79303]) ).

thf(f79305,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79301]) ).

thf(f79307,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f43,f24129]) ).

thf(f79308,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f26,f24129]) ).

thf(f79309,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f79307]) ).

thf(f79310,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f79308]) ).

thf(f79345,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f78277,f27651]) ).

thf(f79347,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_521 ),
    inference(constrained_superposition,[],[f42735,f27651]) ).

thf(f79349,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f11284,f27651]) ).

thf(f79352,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_368
    | ~ spl0_618 ),
    inference(constrained_superposition,[],[f73994,f27651]) ).

thf(f79354,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f26,f27651]) ).

thf(f79356,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_521 ),
    inference(trivial_inequality_removal,[],[f79347]) ).

thf(f79358,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_618 ),
    inference(trivial_inequality_removal,[],[f79352]) ).

thf(f79359,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f79345]) ).

thf(f79360,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f79354]) ).

thf(f79364,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f79349]) ).

thf(f79368,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_200
    | ~ spl0_368
    | ~ spl0_521 ),
    inference(forward_subsumption_resolution,[],[f79356,f9397]) ).

thf(f79369,plain,
    ( spl0_194
    | ~ spl0_200
    | ~ spl0_368
    | ~ spl0_521 ),
    inference(avatar_split_clause,[],[f79368,f42734,f27650,f9396,f9360]) ).

thf(f79382,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f1091,f23348]) ).

thf(f79387,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f216,f23348]) ).

thf(f79389,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f53,f23348]) ).

thf(f79390,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f48,f23348]) ).

thf(f79393,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f79390]) ).

thf(f79395,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f79382]) ).

thf(f79404,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f79387]) ).

thf(f79407,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f79389]) ).

thf(f79496,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_343 ),
    inference(constrained_superposition,[],[f25240,f60]) ).

thf(f79502,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_343 ),
    inference(trivial_inequality_removal,[],[f79496]) ).

thf(f79539,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f79292,f27744]) ).

thf(f79541,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f79292,f24129]) ).

thf(f79544,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79539]) ).

thf(f79548,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f79541]) ).

thf(f79580,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f79279,f35]) ).

thf(f79581,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f79279,f27740]) ).

thf(f79582,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_309
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f79279,f27651]) ).

thf(f79583,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f79279,f19532]) ).

thf(f79585,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f79583]) ).

thf(f79586,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f79581]) ).

thf(f79587,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f79580]) ).

thf(f79588,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_309
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f79582]) ).

thf(f79591,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f79304,f25492]) ).

thf(f79592,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f79304,f35]) ).

thf(f79594,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f79304,f27625]) ).

thf(f79596,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79591]) ).

thf(f79600,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79592]) ).

thf(f79601,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79594]) ).

thf(f79621,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f79310,f35]) ).

thf(f79622,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f79310,f27744]) ).

thf(f79625,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f79621]) ).

thf(f79626,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79622]) ).

thf(f79724,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f36]) ).

thf(f79728,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f23348]) ).

thf(f79729,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f2996]) ).

thf(f79731,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_501 ),
    inference(constrained_superposition,[],[f41385,f60]) ).

thf(f79733,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f79729]) ).

thf(f79736,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f79731]) ).

thf(f79737,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f79724]) ).

thf(f79740,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(trivial_inequality_removal,[],[f79728]) ).

thf(f79741,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | spl0_196
    | ~ spl0_501 ),
    inference(forward_subsumption_resolution,[],[f79737,f9374]) ).

thf(f79743,definition,
    ( spl0_623
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_623])],[avatar_definition]) ).

thf(f79744,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_623 ),
    inference(avatar_component_clause,[],[f79743]) ).

thf(f79745,plain,
    ( spl0_623
    | ~ spl0_63
    | spl0_196
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f79741,f41384,f9373,f1029,f79743]) ).

thf(f79754,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_623 ),
    inference(constrained_superposition,[],[f79744,f60]) ).

thf(f79760,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_623 ),
    inference(trivial_inequality_removal,[],[f79754]) ).

thf(f79786,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f78481,f27744]) ).

thf(f79791,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f79786]) ).

thf(f79802,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(constrained_superposition,[],[f30484,f23348]) ).

thf(f79804,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_411 ),
    inference(constrained_superposition,[],[f30484,f349]) ).

thf(f79805,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_411 ),
    inference(constrained_superposition,[],[f30484,f60]) ).

thf(f79813,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_411 ),
    inference(trivial_inequality_removal,[],[f79805]) ).

thf(f79814,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(trivial_inequality_removal,[],[f79802]) ).

thf(f79815,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_411 ),
    inference(trivial_inequality_removal,[],[f79804]) ).

thf(f79822,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f34272,f349]) ).

thf(f79823,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_459 ),
    inference(constrained_superposition,[],[f34272,f60]) ).

thf(f79824,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f79823]) ).

thf(f79828,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_459 ),
    inference(trivial_inequality_removal,[],[f79822]) ).

thf(f79833,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_479 ),
    inference(constrained_superposition,[],[f39264,f36]) ).

thf(f79839,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_479 ),
    inference(constrained_superposition,[],[f39264,f349]) ).

thf(f79840,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_479 ),
    inference(constrained_superposition,[],[f39264,f60]) ).

thf(f79841,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_479 ),
    inference(trivial_inequality_removal,[],[f79839]) ).

thf(f79844,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_479 ),
    inference(trivial_inequality_removal,[],[f79840]) ).

thf(f79850,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_479 ),
    inference(trivial_inequality_removal,[],[f79833]) ).

thf(f79856,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f28656,f2996]) ).

thf(f79857,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f28656,f349]) ).

thf(f79858,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_391 ),
    inference(constrained_superposition,[],[f28656,f60]) ).

thf(f79860,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f79858]) ).

thf(f79863,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f79856]) ).

thf(f79866,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_391 ),
    inference(trivial_inequality_removal,[],[f79857]) ).

thf(f79874,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_591 ),
    inference(constrained_superposition,[],[f61793,f60]) ).

thf(f79879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_591 ),
    inference(trivial_inequality_removal,[],[f79874]) ).

thf(f79885,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | spl0_195
    | ~ spl0_591 ),
    inference(forward_subsumption_resolution,[],[f79879,f28299]) ).

thf(f79887,plain,
    ( ~ spl0_145
    | spl0_581
    | spl0_195
    | ~ spl0_591 ),
    inference(avatar_split_clause,[],[f79885,f61792,f9369,f61231,f4569]) ).

thf(f79895,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_432 ),
    inference(constrained_superposition,[],[f32476,f349]) ).

thf(f79896,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_432 ),
    inference(constrained_superposition,[],[f32476,f60]) ).

thf(f79897,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_432 ),
    inference(trivial_inequality_removal,[],[f79895]) ).

thf(f79903,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_432 ),
    inference(trivial_inequality_removal,[],[f79896]) ).

thf(f79908,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_397 ),
    inference(constrained_superposition,[],[f28683,f36]) ).

thf(f79913,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_397 ),
    inference(constrained_superposition,[],[f28683,f349]) ).

thf(f79914,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_397 ),
    inference(constrained_superposition,[],[f28683,f60]) ).

thf(f79915,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_397 ),
    inference(trivial_inequality_removal,[],[f79914]) ).

thf(f79918,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_397 ),
    inference(trivial_inequality_removal,[],[f79908]) ).

thf(f79922,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_397 ),
    inference(trivial_inequality_removal,[],[f79913]) ).

thf(f79962,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f23348]) ).

thf(f79973,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(duplicate_literal_removal,[],[f79962]) ).

thf(f79974,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f79973]) ).

thf(f79982,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_607 ),
    inference(constrained_superposition,[],[f71048,f36]) ).

thf(f79995,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_607 ),
    inference(trivial_inequality_removal,[],[f79982]) ).

thf(f79999,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_360
    | ~ spl0_607 ),
    inference(forward_subsumption_resolution,[],[f79995,f27594]) ).

thf(f80000,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f79999,f71047,f27593,f25306]) ).

thf(f80001,plain,
    ( spl0_200
    | spl0_483
    | ~ spl0_145
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f79813,f30483,f4569,f39740,f9396]) ).

thf(f80002,plain,
    ( spl0_533
    | ~ spl0_429
    | spl0_418
    | ~ spl0_432 ),
    inference(avatar_split_clause,[],[f79897,f32475,f31348,f32342,f45454]) ).

thf(f80004,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_383
    | ~ spl0_574 ),
    inference(avatar_split_clause,[],[f78830,f60730,f27996,f490,f97]) ).

thf(f80006,plain,
    ( spl0_482
    | spl0_418
    | ~ spl0_429
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f79841,f39263,f32342,f31348,f39532]) ).

thf(f80007,plain,
    ( ~ spl0_443
    | spl0_195
    | spl0_557
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f79915,f28682,f51026,f9369,f33721]) ).

thf(f80008,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f79364,f27650,f11283,f9404,f9396]) ).

thf(f80009,plain,
    ( spl0_339
    | ~ spl0_163
    | spl0_315
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f79815,f30483,f24160,f5933,f25089]) ).

thf(f80010,plain,
    ( ~ spl0_20
    | spl0_47
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f79278,f27739,f24139,f742,f387]) ).

thf(f80011,plain,
    ( ~ spl0_62
    | spl0_200
    | spl0_532
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f79736,f41384,f45446,f9396,f1025]) ).

thf(f80012,plain,
    ( ~ spl0_315
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_618 ),
    inference(avatar_split_clause,[],[f79358,f73993,f27650,f9404,f24160]) ).

thf(f80013,plain,
    ( spl0_607
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f79974,f40004,f23347,f9426,f71047]) ).

thf(f80015,plain,
    ( ~ spl0_312
    | spl0_415
    | ~ spl0_301
    | ~ spl0_411 ),
    inference(avatar_split_clause,[],[f79814,f30483,f23347,f31209,f24149]) ).

thf(f80016,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_343
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f79502,f25484]) ).

thf(f80017,plain,
    ( spl0_206
    | ~ spl0_10
    | spl0_9
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f78276,f27739,f139,f143,f9426]) ).

thf(f80019,plain,
    ( spl0_310
    | spl0_529
    | ~ spl0_110
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f79733,f41384,f3663,f44967,f24143]) ).

thf(f80020,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79596,f27743,f25491,f139,f76]) ).

thf(f80021,plain,
    ( spl0_200
    | spl0_491
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f79404,f23347,f40882,f9396]) ).

thf(f80022,plain,
    ( ~ spl0_443
    | spl0_423
    | spl0_195
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f79824,f34271,f9369,f31369,f33721]) ).

thf(f80024,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_323
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f79600,f31536]) ).

thf(f80025,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_391
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f79866,f39829]) ).

thf(f80026,plain,
    ( spl0_206
    | spl0_38
    | ~ spl0_37
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f79284,f24139,f521,f524,f9426]) ).

thf(f80029,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_306
    | spl0_323 ),
    inference(forward_subsumption_resolution,[],[f79309,f31536]) ).

thf(f80030,plain,
    ( spl0_184
    | ~ spl0_83
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f79585,f24139,f19531,f3327,f7567]) ).

thf(f80032,plain,
    ( ~ spl0_443
    | spl0_536
    | spl0_195
    | ~ spl0_391 ),
    inference(avatar_split_clause,[],[f79860,f28655,f9369,f46212,f33721]) ).

thf(f80033,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_19
    | ~ spl0_623 ),
    inference(avatar_split_clause,[],[f79760,f79743,f278,f9396,f1025]) ).

thf(f80035,plain,
    ( spl0_465
    | ~ spl0_383
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79601,f27743,f27624,f27996,f34835]) ).

thf(f80036,plain,
    ( spl0_465
    | ~ spl0_195
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79791,f27743,f27624,f9369,f34835]) ).

thf(f80038,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f79586,f27739,f24139,f742,f401]) ).

thf(f80039,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_392
    | ~ spl0_459 ),
    inference(forward_subsumption_resolution,[],[f79828,f39829]) ).

thf(f80041,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_306
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f79548,f25491,f24128,f521,f524]) ).

thf(f80044,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79544,f27743,f25491,f143,f139]) ).

thf(f80046,plain,
    ( spl0_465
    | ~ spl0_383
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f79359,f27739,f27650,f27996,f34835]) ).

thf(f80047,plain,
    ( spl0_47
    | ~ spl0_24
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79626,f27743,f24128,f401,f742]) ).

thf(f80048,plain,
    ( spl0_206
    | ~ spl0_1
    | spl0_9
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f79040,f27739,f139,f76,f9426]) ).

thf(f80051,plain,
    ( ~ spl0_23
    | spl0_206
    | spl0_38
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f79587,f24139,f524,f9426,f397]) ).

thf(f80055,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | spl0_392
    | ~ spl0_397 ),
    inference(forward_subsumption_resolution,[],[f79922,f39829]) ).

thf(f80056,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | spl0_323 ),
    inference(forward_subsumption_resolution,[],[f79625,f31536]) ).

thf(f80057,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_618 ),
    inference(forward_subsumption_resolution,[],[f78479,f25492]) ).

thf(f80062,plain,
    ( ~ spl0_62
    | ~ spl0_4
    | ~ spl0_343
    | spl0_346 ),
    inference(avatar_split_clause,[],[f80016,f25483,f25239,f97,f1025]) ).

thf(f80064,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_323
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f80024,f27743,f24554,f139,f76]) ).

thf(f80065,plain,
    ( spl0_506
    | ~ spl0_429
    | ~ spl0_391
    | spl0_392 ),
    inference(avatar_split_clause,[],[f80025,f28658,f28655,f32342,f41419]) ).

thf(f80068,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_306
    | spl0_323 ),
    inference(avatar_split_clause,[],[f80029,f24554,f24128,f521,f524]) ).

thf(f80071,plain,
    ( ~ spl0_429
    | spl0_533
    | spl0_392
    | ~ spl0_459 ),
    inference(avatar_split_clause,[],[f80039,f34271,f28658,f45454,f32342]) ).

thf(f80076,plain,
    ( spl0_556
    | ~ spl0_429
    | spl0_392
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f80055,f28682,f28658,f32342,f51022]) ).

thf(f80077,plain,
    ( spl0_38
    | ~ spl0_23
    | ~ spl0_306
    | spl0_323 ),
    inference(avatar_split_clause,[],[f80056,f24554,f24128,f397,f524]) ).

thf(f80078,plain,
    ( ~ spl0_418
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_618 ),
    inference(avatar_split_clause,[],[f80057,f73993,f27624,f25491,f31348]) ).

thf(f80094,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f167,f238]) ).

thf(f80099,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f80094]) ).

thf(f80135,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f79279,f9405]) ).

thf(f80138,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f80135]) ).

thf(f80154,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f80099,f32]) ).

thf(f80158,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f80154]) ).

thf(f80162,plain,
    ( spl0_622
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f80158,f166,f97,f78116]) ).

thf(f80221,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f43,f27997]) ).

thf(f80227,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f80221]) ).

thf(f80272,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_418 ),
    inference(constrained_superposition,[],[f43,f31349]) ).

thf(f80279,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true ) )
    | ~ spl0_418 ),
    inference(trivial_inequality_removal,[],[f80272]) ).

thf(f80299,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_606 ),
    inference(constrained_superposition,[],[f71034,f36]) ).

thf(f80303,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_606 ),
    inference(constrained_superposition,[],[f71034,f23348]) ).

thf(f80304,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_606 ),
    inference(constrained_superposition,[],[f71034,f2996]) ).

thf(f80307,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_606 ),
    inference(trivial_inequality_removal,[],[f80304]) ).

thf(f80310,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_606 ),
    inference(trivial_inequality_removal,[],[f80299]) ).

thf(f80315,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_606 ),
    inference(trivial_inequality_removal,[],[f80303]) ).

thf(f80316,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_310
    | ~ spl0_606 ),
    inference(forward_subsumption_resolution,[],[f80307,f34435]) ).

thf(f80317,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_196
    | ~ spl0_606 ),
    inference(forward_subsumption_resolution,[],[f80310,f9374]) ).

thf(f80318,plain,
    ( ~ spl0_428
    | ~ spl0_301
    | ~ spl0_606 ),
    inference(avatar_split_clause,[],[f80315,f71033,f23347,f31927]) ).

thf(f80319,plain,
    ( ~ spl0_145
    | spl0_310
    | ~ spl0_606 ),
    inference(avatar_split_clause,[],[f80316,f71033,f24143,f4569]) ).

thf(f80320,plain,
    ( $false
    | ~ spl0_4
    | spl0_196
    | ~ spl0_606 ),
    inference(forward_subsumption_resolution,[],[f80317,f238]) ).

thf(f80321,plain,
    ( ~ spl0_4
    | spl0_196
    | ~ spl0_606 ),
    inference(avatar_contradiction_clause,[],[f80320]) ).

thf(f80322,plain,
    ( spl0_122
    | ~ spl0_94
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(avatar_split_clause,[],[f79036,f27739,f19531,f3366,f4015]) ).

thf(f80324,plain,
    ( ~ spl0_469
    | spl0_395
    | spl0_549
    | ~ spl0_391 ),
    inference(avatar_split_clause,[],[f79863,f28655,f50000,f28670,f35792]) ).

thf(f80327,plain,
    ( spl0_324
    | ~ spl0_110
    | ~ spl0_99
    | ~ spl0_507 ),
    inference(avatar_split_clause,[],[f78972,f41424,f3385,f3663,f24589]) ).

thf(f80328,plain,
    ( ~ spl0_443
    | spl0_346
    | spl0_423
    | ~ spl0_432 ),
    inference(avatar_split_clause,[],[f79903,f32475,f31369,f25483,f33721]) ).

thf(f80329,plain,
    ( spl0_38
    | ~ spl0_23
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f80138,f24139,f9404,f397,f524]) ).

thf(f80331,plain,
    ( spl0_346
    | ~ spl0_443
    | spl0_524
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f79844,f39263,f42757,f33721,f25483]) ).

thf(f80335,plain,
    ( ~ spl0_32
    | ~ spl0_31
    | spl0_306
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f78859,f52666,f24128,f458,f490]) ).

thf(f80336,plain,
    ( spl0_223
    | ~ spl0_10
    | spl0_9
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f80227,f27996,f139,f143,f11805]) ).

thf(f80337,plain,
    ( ~ spl0_31
    | ~ spl0_62
    | spl0_377
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f78754,f60738,f27962,f1025,f458]) ).

thf(f80339,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | spl0_206
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f79201,f24166]) ).

thf(f80340,plain,
    ( ~ spl0_145
    | ~ spl0_99
    | spl0_274
    | ~ spl0_576 ),
    inference(avatar_split_clause,[],[f78755,f60738,f19550,f3385,f4569]) ).

thf(f80342,plain,
    ( spl0_513
    | ~ spl0_421
    | ~ spl0_301
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f79740,f41384,f23347,f31359,f42646]) ).

thf(f80343,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(forward_subsumption_resolution,[],[f80279,f25492]) ).

thf(f80344,plain,
    ( spl0_401
    | ~ spl0_377
    | ~ spl0_309
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f79588,f27650,f24139,f27962,f29118]) ).

thf(f80350,plain,
    ( spl0_103
    | ~ spl0_90
    | spl0_206
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f80339,f19531,f9426,f3351,f3425]) ).

thf(f80351,plain,
    ( spl0_466
    | spl0_31
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(avatar_split_clause,[],[f80343,f31348,f25491,f458,f34842]) ).

thf(f80380,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_14
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f63470,f3555]) ).

thf(f80385,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f80380]) ).

thf(f80388,plain,
    ( ~ spl0_19
    | spl0_94
    | ~ spl0_14
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f80385,f3385,f223,f3366,f278]) ).

thf(f80391,plain,
    ( ( $true != $true )
    | ~ spl0_78
    | spl0_206 ),
    inference(constrained_superposition,[],[f24166,f2240]) ).

thf(f80398,plain,
    ( ( $true != $true )
    | ~ spl0_78
    | spl0_323 ),
    inference(constrained_superposition,[],[f31536,f2240]) ).

thf(f80418,plain,
    ( $false
    | ~ spl0_78
    | spl0_206 ),
    inference(trivial_inequality_removal,[],[f80391]) ).

thf(f80419,plain,
    ( ~ spl0_78
    | spl0_206 ),
    inference(avatar_contradiction_clause,[],[f80418]) ).

thf(f80420,plain,
    ( $false
    | ~ spl0_78
    | spl0_323 ),
    inference(trivial_inequality_removal,[],[f80398]) ).

thf(f80421,plain,
    ( ~ spl0_78
    | spl0_323 ),
    inference(avatar_contradiction_clause,[],[f80420]) ).

thf(f80450,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_14
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f63470,f11806]) ).

thf(f80456,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f80450]) ).

thf(f80509,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_224
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f11967,f24144]) ).

thf(f80510,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_344 ),
    inference(constrained_superposition,[],[f25298,f24144]) ).

thf(f80513,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_224
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f80509]) ).

thf(f80514,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_310
    | ~ spl0_344 ),
    inference(trivial_inequality_removal,[],[f80510]) ).

thf(f80591,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_34
    | ~ spl0_309 ),
    inference(constrained_superposition,[],[f508,f24140]) ).

thf(f80594,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_34
    | ~ spl0_309 ),
    inference(trivial_inequality_removal,[],[f80591]) ).

thf(f80663,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_593 ),
    inference(constrained_superposition,[],[f61802,f349]) ).

thf(f80669,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_593 ),
    inference(trivial_inequality_removal,[],[f80663]) ).

thf(f80673,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_392
    | ~ spl0_593 ),
    inference(forward_subsumption_resolution,[],[f80669,f39829]) ).

thf(f80674,plain,
    ( ~ spl0_62
    | spl0_392
    | ~ spl0_593 ),
    inference(avatar_split_clause,[],[f80673,f61801,f28658,f1025]) ).

thf(f80675,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_224
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f80513,f24143,f11966,f3366,f3341]) ).

thf(f80676,plain,
    ( spl0_383
    | ~ spl0_19
    | ~ spl0_14
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f80456,f11805,f223,f278,f27996]) ).

thf(f80679,plain,
    ( spl0_9
    | spl0_323
    | ~ spl0_1
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79600,f27743,f76,f24554,f139]) ).

thf(f80683,plain,
    ( spl0_196
    | spl0_486
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f79393,f23347,f40004,f9373]) ).

thf(f80685,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | ~ spl0_34
    | ~ spl0_309 ),
    inference(avatar_split_clause,[],[f80594,f24139,f507,f9404,f9373]) ).

thf(f80686,plain,
    ( spl0_395
    | ~ spl0_396
    | ~ spl0_110
    | ~ spl0_502 ),
    inference(avatar_split_clause,[],[f79106,f41391,f3663,f28673,f28670]) ).

thf(f80687,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_310
    | ~ spl0_344 ),
    inference(avatar_split_clause,[],[f80514,f25297,f24143,f3341,f3327]) ).

thf(f80688,plain,
    ( spl0_315
    | ~ spl0_421
    | spl0_512
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f79395,f23347,f42372,f31359,f24160]) ).

thf(f80689,plain,
    ( ~ spl0_323
    | spl0_342
    | spl0_196
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f79407,f23347,f9373,f25231,f24554]) ).

thf(f80690,plain,
    ( ~ spl0_10
    | spl0_9
    | spl0_323
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f79305,f27743,f24554,f139,f143]) ).

thf(f80696,plain,
    ( spl0_360
    | spl0_340
    | ~ spl0_345
    | ~ spl0_479 ),
    inference(avatar_split_clause,[],[f79850,f39263,f25306,f25094,f27593]) ).

thf(f80698,plain,
    ( spl0_623
    | ~ spl0_63
    | spl0_196
    | ~ spl0_501 ),
    inference(avatar_split_clause,[],[f79737,f41384,f9373,f1029,f79743]) ).

thf(f80701,plain,
    ( ~ spl0_345
    | spl0_192
    | spl0_559
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f79918,f28682,f51239,f9353,f25306]) ).

thf(f80807,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( z = X0 )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_11 ),
    inference(constrained_superposition,[],[f167,f32]) ).

thf(f80811,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( z = X0 )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) ) )
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f80807]) ).

thf(f80982,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_320
    | ~ spl0_370 ),
    inference(constrained_superposition,[],[f24453,f27740]) ).

thf(f80986,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_320
    | ~ spl0_370 ),
    inference(trivial_inequality_removal,[],[f80982]) ).

thf(f80989,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_320
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f80986,f388]) ).

thf(f80990,plain,
    ( ~ spl0_20
    | ~ spl0_320
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f80989]) ).

thf(f81084,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(constrained_superposition,[],[f28683,f27628]) ).

thf(f81110,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(trivial_inequality_removal,[],[f81084]) ).

thf(f81118,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(forward_subsumption_resolution,[],[f81110,f23348]) ).

thf(f81120,plain,
    ( spl0_566
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_397 ),
    inference(avatar_split_clause,[],[f81118,f28682,f27627,f23347,f52407]) ).

thf(f81122,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f43,f27632]) ).

thf(f81125,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f81122]) ).

thf(f81130,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_617 ),
    inference(constrained_superposition,[],[f73734,f35]) ).

thf(f81133,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_617 ),
    inference(trivial_inequality_removal,[],[f81130]) ).

thf(f81137,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_100
    | ~ spl0_617 ),
    inference(forward_subsumption_resolution,[],[f81133,f3414]) ).

thf(f81142,plain,
    ( $false
    | ~ spl0_100
    | spl0_223
    | ~ spl0_617 ),
    inference(forward_subsumption_resolution,[],[f81137,f28687]) ).

thf(f81143,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_617 ),
    inference(avatar_contradiction_clause,[],[f81142]) ).

thf(f81155,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f59]) ).

thf(f81163,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f81155]) ).

thf(f81166,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_383
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[],[f81163,f28305]) ).

thf(f81167,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_4
    | spl0_383
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[],[f81166,f238]) ).

thf(f81168,plain,
    ( ~ spl0_19
    | ~ spl0_4
    | spl0_383
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f81167,f28292,f27996,f97,f278]) ).

thf(f81210,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f11284,f27651]) ).

thf(f81213,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f81210]) ).

thf(f81239,plain,
    ( ( $true != $true )
    | ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_132
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f4296,f27643]) ).

thf(f81244,plain,
    ( ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_132
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f81239]) ).

thf(f81258,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_132
    | spl0_223
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f81244,f28687]) ).

thf(f81259,plain,
    ( $false
    | ~ spl0_132
    | ~ spl0_200
    | spl0_223
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f81258,f9397]) ).

thf(f81260,plain,
    ( ~ spl0_132
    | ~ spl0_200
    | spl0_223
    | ~ spl0_366 ),
    inference(avatar_contradiction_clause,[],[f81259]) ).

thf(f81267,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_619 ),
    inference(constrained_superposition,[],[f75256,f2996]) ).

thf(f81274,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_619 ),
    inference(trivial_inequality_removal,[],[f81267]) ).

thf(f81279,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_395
    | ~ spl0_619 ),
    inference(forward_subsumption_resolution,[],[f81274,f39832]) ).

thf(f81280,plain,
    ( ~ spl0_104
    | ~ spl0_110
    | spl0_395
    | ~ spl0_619 ),
    inference(avatar_split_clause,[],[f81279,f75255,f28670,f3663,f3594]) ).

thf(f81281,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f14277,f27651]) ).

thf(f81283,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f81281]) ).

thf(f81286,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_250
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f81283,f27740]) ).

thf(f81287,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_250
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(forward_subsumption_resolution,[],[f81286,f9397]) ).

thf(f81288,plain,
    ( ~ spl0_200
    | ~ spl0_250
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(avatar_contradiction_clause,[],[f81287]) ).

thf(f81306,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_620 ),
    inference(constrained_superposition,[],[f75357,f60]) ).

thf(f81312,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_620 ),
    inference(trivial_inequality_removal,[],[f81306]) ).

thf(f81316,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_346
    | ~ spl0_620 ),
    inference(forward_subsumption_resolution,[],[f81312,f25484]) ).

thf(f81317,plain,
    ( ~ spl0_62
    | ~ spl0_19
    | spl0_346
    | ~ spl0_620 ),
    inference(avatar_split_clause,[],[f81316,f75356,f25483,f278,f1025]) ).

thf(f81318,plain,
    ( ~ spl0_4
    | spl0_371
    | ~ spl0_62
    | ~ spl0_507 ),
    inference(avatar_split_clause,[],[f78973,f41424,f1025,f27743,f97]) ).

thf(f81319,plain,
    ( ~ spl0_201
    | ~ spl0_200
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f81213,f27650,f11283,f9396,f9404]) ).

thf(f81320,plain,
    ( ~ spl0_348
    | spl0_223
    | spl0_466
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f81125,f27631,f34842,f11805,f25491]) ).

thf(f81369,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f79360,f27997]) ).

thf(f81371,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f26,f27997]) ).

thf(f81373,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f81371]) ).

thf(f81374,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f81369]) ).

thf(f81387,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f43,f19532]) ).

thf(f81391,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f81387]) ).

thf(f81430,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f26,f25499]) ).

thf(f81431,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f81430]) ).

thf(f81477,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f1091,f27640]) ).

thf(f81484,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f48,f27640]) ).

thf(f81488,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f81477]) ).

thf(f81495,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f81484]) ).

thf(f81584,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f43,f27625]) ).

thf(f81586,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f26,f27625]) ).

thf(f81587,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f81586]) ).

thf(f81589,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f81584]) ).

thf(f81592,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f348]) ).

thf(f81608,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f81592]) ).

thf(f81668,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_132
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f4296,f28671]) ).

thf(f81674,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_132
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f81668]) ).

thf(f81688,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_132
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f81674,f9370]) ).

thf(f81695,plain,
    ( $false
    | spl0_99
    | ~ spl0_132
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f81688,f3386]) ).

thf(f81696,plain,
    ( spl0_99
    | ~ spl0_132
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(avatar_contradiction_clause,[],[f81695]) ).

thf(f81745,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_568 ),
    inference(constrained_superposition,[],[f52667,f2995]) ).

thf(f81760,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_568 ),
    inference(trivial_inequality_removal,[],[f81745]) ).

thf(f81771,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_273 ),
    inference(constrained_superposition,[],[f13033,f19532]) ).

thf(f81773,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_273 ),
    inference(trivial_inequality_removal,[],[f81771]) ).

thf(f81840,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f81374,f27625]) ).

thf(f81844,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f81840]) ).

thf(f82085,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(constrained_superposition,[],[f81431,f27632]) ).

thf(f82088,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(trivial_inequality_removal,[],[f82085]) ).

thf(f82127,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f81587,f23351]) ).

thf(f82131,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f82127]) ).

thf(f82132,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f82131,f27651]) ).

thf(f82135,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f82132,f27632]) ).

thf(f82136,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f82132,f27963]) ).

thf(f82138,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f82135]) ).

thf(f82139,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f82136]) ).

thf(f82141,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f82138,f23355]) ).

thf(f82142,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(avatar_contradiction_clause,[],[f82141]) ).

thf(f82143,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_309
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f82139,f24140]) ).

thf(f82144,plain,
    ( ~ spl0_302
    | ~ spl0_309
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f82143]) ).

thf(f82146,plain,
    ( ~ spl0_100
    | spl0_103
    | ~ spl0_239
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f81773,f19531,f13032,f3425,f3413]) ).

thf(f82149,plain,
    ( ~ spl0_95
    | spl0_324
    | ~ spl0_99
    | ~ spl0_568 ),
    inference(avatar_split_clause,[],[f81760,f52666,f3385,f24589,f3370]) ).

thf(f82151,plain,
    ( spl0_484
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f82088,f27631,f25483,f9369,f39825]) ).

thf(f82153,plain,
    ( ~ spl0_393
    | spl0_505
    | spl0_315
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f81488,f27639,f24160,f41415,f28663]) ).

thf(f82156,plain,
    ( spl0_442
    | spl0_196
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f81495,f27639,f9373,f33476]) ).

thf(f82159,definition,
    ( spl0_627
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_627])],[avatar_definition]) ).

thf(f82160,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_627 ),
    inference(avatar_component_clause,[],[f82159]) ).

thf(f82163,plain,
    ( spl0_386
    | ~ spl0_193
    | spl0_323
    | ~ spl0_361 ),
    inference(avatar_split_clause,[],[f81589,f27624,f24554,f9357,f28190]) ).

thf(f82164,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_206
    | ~ spl0_273 ),
    inference(forward_subsumption_resolution,[],[f81391,f24166]) ).

thf(f82170,plain,
    ( ~ spl0_100
    | spl0_103
    | spl0_206
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f82164,f19531,f9426,f3425,f3413]) ).

thf(f82220,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83 ),
    inference(constrained_superposition,[],[f26,f3328]) ).

thf(f82221,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_83 ),
    inference(trivial_inequality_removal,[],[f82220]) ).

thf(f82452,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f3640,f23358]) ).

thf(f82456,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f827,f23358]) ).

thf(f82457,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f381,f23358]) ).

thf(f82458,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f263,f23358]) ).

thf(f82459,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f216,f23358]) ).

thf(f82460,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f73,f23358]) ).

thf(f82468,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82452]) ).

thf(f82469,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82459]) ).

thf(f82471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82460]) ).

thf(f82475,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82456]) ).

thf(f82478,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82458]) ).

thf(f82480,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f82457]) ).

thf(f82549,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_200
    | ~ spl0_487 ),
    inference(constrained_superposition,[],[f40628,f9397]) ).

thf(f82551,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_200
    | ~ spl0_487 ),
    inference(trivial_inequality_removal,[],[f82549]) ).

thf(f82552,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_487 ),
    inference(forward_subsumption_resolution,[],[f82551,f61861]) ).

thf(f82555,plain,
    ( spl0_501
    | spl0_306
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82480,f23357,f24128,f41384]) ).

thf(f82556,plain,
    ( spl0_418
    | spl0_419
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82475,f23357,f31351,f31348]) ).

thf(f82558,plain,
    ( spl0_346
    | spl0_432
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82469,f23357,f32475,f25483]) ).

thf(f82560,plain,
    ( spl0_420
    | spl0_422
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82468,f23357,f31363,f31355]) ).

thf(f82561,plain,
    ( spl0_371
    | spl0_412
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82471,f23357,f30518,f27743]) ).

thf(f82564,plain,
    ( ~ spl0_20
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_487 ),
    inference(avatar_split_clause,[],[f82552,f40627,f9396,f143,f387]) ).

thf(f82565,plain,
    ( spl0_423
    | spl0_346
    | ~ spl0_313
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f82478,f23357,f24153,f25483,f31369]) ).

thf(f82567,plain,
    ( ~ spl0_371
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f81844,f27996,f27650,f27624,f23354,f27743]) ).

thf(f82569,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f26,f77]) ).

thf(f82570,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f82569]) ).

thf(f82580,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f167,f11806]) ).

thf(f82582,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f82580]) ).

thf(f82680,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_87 ),
    inference(constrained_superposition,[],[f43,f3342]) ).

thf(f82683,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_87 ),
    inference(trivial_inequality_removal,[],[f82680]) ).

thf(f82727,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f26,f24129]) ).

thf(f82728,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f82727]) ).

thf(f82761,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f82582,f349]) ).

thf(f82762,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f82582,f60]) ).

thf(f82765,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f82762]) ).

thf(f82768,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f82761]) ).

thf(f82774,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f59]) ).

thf(f82777,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f82774]) ).

thf(f82783,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f26,f27643]) ).

thf(f82784,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f82783]) ).

thf(f82953,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f82570,f35]) ).

thf(f82960,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f82953]) ).

thf(f83003,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_563 ),
    inference(constrained_superposition,[],[f51974,f59]) ).

thf(f83010,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_563 ),
    inference(trivial_inequality_removal,[],[f83003]) ).

thf(f83014,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_370
    | ~ spl0_563 ),
    inference(forward_subsumption_resolution,[],[f83010,f28198]) ).

thf(f83015,plain,
    ( ~ spl0_62
    | ~ spl0_19
    | spl0_370
    | ~ spl0_563 ),
    inference(avatar_split_clause,[],[f83014,f51973,f27739,f278,f1025]) ).

thf(f83077,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_530 ),
    inference(constrained_superposition,[],[f45413,f36]) ).

thf(f83090,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_530 ),
    inference(trivial_inequality_removal,[],[f83077]) ).

thf(f83092,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_4
    | ~ spl0_530 ),
    inference(forward_subsumption_resolution,[],[f83090,f238]) ).

thf(f83093,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | spl0_192
    | ~ spl0_530 ),
    inference(forward_subsumption_resolution,[],[f83092,f9354]) ).

thf(f83094,plain,
    ( ~ spl0_63
    | ~ spl0_4
    | spl0_192
    | ~ spl0_530 ),
    inference(avatar_split_clause,[],[f83093,f45412,f9353,f97,f1029]) ).

thf(f83102,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_223
    | ~ spl0_586 ),
    inference(constrained_superposition,[],[f61443,f11806]) ).

thf(f83105,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_586 ),
    inference(trivial_inequality_removal,[],[f83102]) ).

thf(f83113,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_586 ),
    inference(forward_subsumption_resolution,[],[f83105,f238]) ).

thf(f83114,plain,
    ( ~ spl0_63
    | ~ spl0_4
    | ~ spl0_223
    | ~ spl0_586 ),
    inference(avatar_split_clause,[],[f83113,f61442,f11805,f97,f1029]) ).

thf(f83182,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_621 ),
    inference(constrained_superposition,[],[f75414,f36]) ).

thf(f83191,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_621 ),
    inference(trivial_inequality_removal,[],[f83182]) ).

thf(f83199,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_360
    | ~ spl0_621 ),
    inference(forward_subsumption_resolution,[],[f83191,f27594]) ).

thf(f83200,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | spl0_360
    | ~ spl0_621 ),
    inference(forward_subsumption_resolution,[],[f83199,f238]) ).

thf(f83201,plain,
    ( ~ spl0_63
    | ~ spl0_4
    | spl0_360
    | ~ spl0_621 ),
    inference(avatar_split_clause,[],[f83200,f75413,f27593,f97,f1029]) ).

thf(f83280,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f82221,f31356]) ).

thf(f83285,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f83280]) ).

thf(f83287,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_83
    | ~ spl0_306
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f83285,f24129]) ).

thf(f83288,plain,
    ( spl0_493
    | ~ spl0_83
    | ~ spl0_306
    | ~ spl0_420 ),
    inference(avatar_split_clause,[],[f83287,f31355,f24128,f3327,f40900]) ).

thf(f83293,plain,
    ( ~ spl0_31
    | spl0_377
    | ~ spl0_63
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f81608,f28292,f1029,f27962,f458]) ).

thf(f83294,plain,
    ( ~ spl0_31
    | spl0_392
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f82768,f11805,f166,f28658,f458]) ).

thf(f83295,plain,
    ( spl0_4
    | spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f82960,f76,f236,f97]) ).

thf(f83296,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true ) )
    | ~ spl0_87
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f82683,f3414]) ).

thf(f83301,plain,
    ( spl0_103
    | spl0_4
    | ~ spl0_87
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f83296,f3413,f3341,f97,f3425]) ).

thf(f83320,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f82777,f459]) ).

thf(f83325,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f83320]) ).

thf(f83336,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_358 ),
    inference(constrained_superposition,[],[f27570,f60]) ).

thf(f83339,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_358 ),
    inference(trivial_inequality_removal,[],[f83336]) ).

thf(f83376,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f81373,f27963]) ).

thf(f83379,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f83376]) ).

thf(f83389,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_368
    | ~ spl0_383
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f81374,f28659]) ).

thf(f83394,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_368
    | ~ spl0_383
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f83389]) ).

thf(f83576,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_172 ),
    inference(constrained_superposition,[],[f6590,f60]) ).

thf(f83578,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_172 ),
    inference(trivial_inequality_removal,[],[f83576]) ).

thf(f83681,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(constrained_superposition,[],[f82728,f24590]) ).

thf(f83683,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(trivial_inequality_removal,[],[f83681]) ).

thf(f83700,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_548 ),
    inference(constrained_superposition,[],[f49997,f36]) ).

thf(f83716,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_548 ),
    inference(trivial_inequality_removal,[],[f83700]) ).

thf(f83717,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_360
    | ~ spl0_548 ),
    inference(forward_subsumption_resolution,[],[f83716,f27594]) ).

thf(f83718,plain,
    ( ~ spl0_345
    | ~ spl0_388
    | spl0_360
    | ~ spl0_548 ),
    inference(avatar_split_clause,[],[f83717,f49996,f27593,f28279,f25306]) ).

thf(f83758,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(constrained_superposition,[],[f82784,f27997]) ).

thf(f83761,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(trivial_inequality_removal,[],[f83758]) ).

thf(f83766,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(forward_subsumption_resolution,[],[f83761,f9397]) ).

thf(f83767,plain,
    ( spl0_387
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f83766,f27996,f27642,f9396,f28200]) ).

thf(f83770,plain,
    ( ~ spl0_19
    | spl0_20
    | ~ spl0_14
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f83325,f458,f223,f387,f278]) ).

thf(f83771,plain,
    ( spl0_184
    | ~ spl0_83
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(avatar_split_clause,[],[f83683,f24589,f24128,f3327,f7567]) ).

thf(f83773,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_24
    | ~ spl0_358 ),
    inference(forward_subsumption_resolution,[],[f83339,f2212]) ).

thf(f83774,plain,
    ( spl0_47
    | ~ spl0_20
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(avatar_split_clause,[],[f83379,f27996,f27962,f387,f742]) ).

thf(f83775,plain,
    ( ~ spl0_20
    | ~ spl0_309
    | ~ spl0_368
    | ~ spl0_383
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f83394,f28658,f27996,f27650,f24139,f387]) ).

thf(f83777,plain,
    ( ~ spl0_19
    | spl0_24
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f83773,f27569,f401,f278]) ).

thf(f83779,plain,
    ( spl0_87
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f83578,f6589,f97,f490,f3341]) ).

thf(f83781,plain,
    ( spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f82765,f11805,f166,f97,f9369]) ).

thf(f83810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f26,f33771]) ).

thf(f83811,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f83810]) ).

thf(f83848,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(constrained_superposition,[],[f46911,f3338]) ).

thf(f83851,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(trivial_inequality_removal,[],[f83848]) ).

thf(f83854,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f83851,f398]) ).

thf(f83855,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(forward_subsumption_resolution,[],[f83854,f388]) ).

thf(f83856,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(avatar_contradiction_clause,[],[f83855]) ).

thf(f83964,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_569 ),
    inference(constrained_superposition,[],[f54932,f37]) ).

thf(f83968,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | spl0_569 ),
    inference(trivial_inequality_removal,[],[f83964]) ).

thf(f83972,plain,
    ( spl0_248
    | spl0_418
    | spl0_569 ),
    inference(avatar_split_clause,[],[f83968,f54931,f31348,f14270]) ).

thf(f83990,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_387 ),
    inference(constrained_superposition,[],[f28201,f27651]) ).

thf(f83991,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_387 ),
    inference(trivial_inequality_removal,[],[f83990]) ).

thf(f83994,plain,
    ( $false
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_387 ),
    inference(forward_subsumption_resolution,[],[f83991,f9370]) ).

thf(f83995,plain,
    ( ~ spl0_195
    | ~ spl0_368
    | ~ spl0_387 ),
    inference(avatar_contradiction_clause,[],[f83994]) ).

thf(f84046,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f82777,f24555]) ).

thf(f84047,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_323
    | ~ spl0_622 ),
    inference(constrained_superposition,[],[f78117,f24555]) ).

thf(f84051,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f84046]) ).

thf(f84052,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_323
    | ~ spl0_622 ),
    inference(trivial_inequality_removal,[],[f84047]) ).

thf(f84056,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_323
    | spl0_371 ),
    inference(forward_subsumption_resolution,[],[f84051,f31240]) ).

thf(f84057,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ~ spl0_323
    | spl0_371
    | ~ spl0_622 ),
    inference(forward_subsumption_resolution,[],[f84052,f31240]) ).

thf(f84058,plain,
    ( ~ spl0_19
    | ~ spl0_14
    | ~ spl0_323
    | spl0_371 ),
    inference(avatar_split_clause,[],[f84056,f27743,f24554,f223,f278]) ).

thf(f84059,plain,
    ( spl0_351
    | ~ spl0_323
    | spl0_371
    | ~ spl0_622 ),
    inference(avatar_split_clause,[],[f84057,f78116,f27743,f24554,f25587]) ).

thf(f84072,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f79360,f27963]) ).

thf(f84079,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f84072]) ).

thf(f84155,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f3322,f27640]) ).

thf(f84156,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f3640,f27640]) ).

thf(f84158,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f6155,f27640]) ).

thf(f84160,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f827,f27640]) ).

thf(f84161,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f381,f27640]) ).

thf(f84163,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f216,f27640]) ).

thf(f84170,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84155]) ).

thf(f84171,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84156]) ).

thf(f84174,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84160]) ).

thf(f84179,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84163]) ).

thf(f84183,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84161]) ).

thf(f84184,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f84158]) ).

thf(f84191,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_195
    | ~ spl0_449 ),
    inference(constrained_superposition,[],[f33807,f9370]) ).

thf(f84193,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ~ spl0_195
    | ~ spl0_449 ),
    inference(trivial_inequality_removal,[],[f84191]) ).

thf(f84195,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_193
    | ~ spl0_195
    | ~ spl0_449 ),
    inference(forward_subsumption_resolution,[],[f84193,f28188]) ).

thf(f84196,plain,
    ( spl0_243
    | spl0_193
    | ~ spl0_195
    | ~ spl0_449 ),
    inference(avatar_split_clause,[],[f84195,f33806,f9369,f9357,f13446]) ).

thf(f84260,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f26,f23351]) ).

thf(f84264,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f84260]) ).

thf(f84268,plain,
    ( spl0_378
    | spl0_310
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84171,f27639,f24143,f27966]) ).

thf(f84269,plain,
    ( spl0_315
    | spl0_380
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84174,f27639,f27977,f24160]) ).

thf(f84270,plain,
    ( spl0_309
    | spl0_511
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84183,f27639,f42361,f24139]) ).

thf(f84271,plain,
    ( spl0_200
    | spl0_440
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84179,f27639,f32934,f9396]) ).

thf(f84274,plain,
    ( spl0_373
    | spl0_310
    | ~ spl0_372
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84184,f27639,f27943,f24143,f27946]) ).

thf(f84275,plain,
    ( spl0_273
    | spl0_379
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f84170,f27639,f27973,f19531]) ).

thf(f84286,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_200
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f13871,f9397]) ).

thf(f84295,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_200
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f84286]) ).

thf(f84324,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f11782,f24144]) ).

thf(f84325,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f43,f24144]) ).

thf(f84326,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f9383,f24144]) ).

thf(f84327,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f26,f24144]) ).

thf(f84328,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f84324]) ).

thf(f84329,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f84325]) ).

thf(f84330,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_198
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f84326]) ).

thf(f84331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f84327]) ).

thf(f84479,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_5 ),
    inference(constrained_superposition,[],[f101,f36]) ).

thf(f84490,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true ) )
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f84479]) ).

thf(f84598,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_200
    | ~ spl0_488 ),
    inference(constrained_superposition,[],[f40737,f9397]) ).

thf(f84599,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_200
    | ~ spl0_488 ),
    inference(trivial_inequality_removal,[],[f84598]) ).

thf(f84685,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f84079,f27625]) ).

thf(f84691,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f84685]) ).

thf(f84694,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f84691,f23355]) ).

thf(f84695,plain,
    ( $false
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f84694,f24129]) ).

thf(f84696,plain,
    ( ~ spl0_303
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f84695]) ).

thf(f84832,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f84331,f35]) ).

thf(f84833,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f84331,f27651]) ).

thf(f84836,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f84833]) ).

thf(f84837,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f84832]) ).

thf(f84842,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f84836,f9370]) ).

thf(f84844,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f84842]) ).

thf(f84940,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f84264,f24129]) ).

thf(f84945,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f84940]) ).

thf(f84946,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f84945,f24161]) ).

thf(f84947,plain,
    ( spl0_320
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f84946,f24160,f24128,f23350,f24452]) ).

thf(f84948,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_488 ),
    inference(forward_subsumption_resolution,[],[f84599,f61861]) ).

thf(f84949,plain,
    ( ~ spl0_90
    | ~ spl0_94
    | ~ spl0_198
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f84330,f24143,f9382,f3366,f3351]) ).

thf(f84950,plain,
    ( ~ spl0_19
    | spl0_6
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f84490,f100,f124,f278]) ).

thf(f84951,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f84844,f9397]) ).

thf(f84952,plain,
    ( ~ spl0_94
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_488 ),
    inference(avatar_split_clause,[],[f84948,f40736,f9396,f143,f3366]) ).

thf(f84953,plain,
    ( ~ spl0_94
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f84951,f27650,f24143,f9396,f9369,f3366]) ).

thf(f85007,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f83811,f24161]) ).

thf(f85009,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f43,f24161]) ).

thf(f85014,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f26,f24161]) ).

thf(f85016,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f85009]) ).

thf(f85018,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f85014]) ).

thf(f85022,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f85007]) ).

thf(f85032,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(constrained_superposition,[],[f84331,f19532]) ).

thf(f85038,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(trivial_inequality_removal,[],[f85032]) ).

thf(f85064,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_17
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f237,f27744]) ).

thf(f85069,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_17
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f85064]) ).

thf(f85074,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_17
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f85069,f25492]) ).

thf(f85075,plain,
    ( ~ spl0_360
    | ~ spl0_17
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f85074,f27743,f25491,f236,f27593]) ).

thf(f85087,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f36]) ).

thf(f85089,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f59]) ).

thf(f85092,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f85089]) ).

thf(f85093,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f85087]) ).

thf(f85095,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f43,f27643]) ).

thf(f85100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f26,f27643]) ).

thf(f85104,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f85095]) ).

thf(f85107,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f85100]) ).

thf(f85140,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f31,f23348]) ).

thf(f85152,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f85140]) ).

thf(f85161,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f1091,f23358]) ).

thf(f85168,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f48,f23358]) ).

thf(f85173,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f85161]) ).

thf(f85181,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f85168]) ).

thf(f85262,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f85092,f23348]) ).

thf(f85263,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f85092,f23358]) ).

thf(f85274,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_14
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f85263]) ).

thf(f85281,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_14
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f85262]) ).

thf(f85484,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f85038,f27643]) ).

thf(f85490,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f85484]) ).

thf(f85524,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_579 ),
    inference(constrained_superposition,[],[f60962,f60]) ).

thf(f85533,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_579 ),
    inference(trivial_inequality_removal,[],[f85524]) ).

thf(f85534,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_346
    | ~ spl0_579 ),
    inference(forward_subsumption_resolution,[],[f85533,f25484]) ).

thf(f85535,plain,
    ( ~ spl0_62
    | ~ spl0_313
    | spl0_346
    | ~ spl0_579 ),
    inference(avatar_split_clause,[],[f85534,f60961,f25483,f24153,f1025]) ).

thf(f85562,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_315 ),
    inference(constrained_superposition,[],[f85018,f35]) ).

thf(f85567,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_315 ),
    inference(trivial_inequality_removal,[],[f85562]) ).

thf(f85592,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_149
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f4636,f27744]) ).

thf(f85593,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_149
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f85592]) ).

thf(f85594,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_149
    | spl0_323
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f85593,f31536]) ).

thf(f85595,plain,
    ( spl0_417
    | ~ spl0_149
    | spl0_323
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f85594,f27743,f24554,f4635,f31242]) ).

thf(f85626,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f80,f349]) ).

thf(f85639,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f85626]) ).

thf(f85643,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true ) )
    | ~ spl0_2
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f85639,f737]) ).

thf(f85645,plain,
    ( spl0_627
    | ~ spl0_2
    | spl0_20 ),
    inference(avatar_split_clause,[],[f85643,f387,f79,f82159]) ).

thf(f85661,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_627 ),
    inference(constrained_superposition,[],[f82160,f11806]) ).

thf(f85664,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_223
    | ~ spl0_627 ),
    inference(trivial_inequality_removal,[],[f85661]) ).

thf(f85666,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_223
    | spl0_392
    | ~ spl0_627 ),
    inference(forward_subsumption_resolution,[],[f85664,f39829]) ).

thf(f85672,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | spl0_392
    | ~ spl0_627 ),
    inference(constrained_superposition,[],[f85666,f2996]) ).

thf(f85679,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_223
    | spl0_392
    | ~ spl0_627 ),
    inference(trivial_inequality_removal,[],[f85672]) ).

thf(f85683,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_223
    | spl0_392
    | spl0_395
    | ~ spl0_627 ),
    inference(forward_subsumption_resolution,[],[f85679,f39832]) ).

thf(f85684,plain,
    ( ~ spl0_110
    | ~ spl0_95
    | ~ spl0_223
    | spl0_392
    | spl0_395
    | ~ spl0_627 ),
    inference(avatar_split_clause,[],[f85683,f82159,f28670,f28658,f11805,f3370,f3663]) ).

thf(f85721,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_432 ),
    inference(constrained_superposition,[],[f32476,f36]) ).

thf(f85737,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_432 ),
    inference(trivial_inequality_removal,[],[f85721]) ).

thf(f85771,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_419 ),
    inference(constrained_superposition,[],[f31352,f36]) ).

thf(f85776,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_419 ),
    inference(constrained_superposition,[],[f31352,f2996]) ).

thf(f85777,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_419 ),
    inference(constrained_superposition,[],[f31352,f349]) ).

thf(f85778,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_419 ),
    inference(constrained_superposition,[],[f31352,f60]) ).

thf(f85779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_419 ),
    inference(trivial_inequality_removal,[],[f85777]) ).

thf(f85783,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_419 ),
    inference(trivial_inequality_removal,[],[f85771]) ).

thf(f85787,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_419 ),
    inference(trivial_inequality_removal,[],[f85778]) ).

thf(f85788,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_419 ),
    inference(trivial_inequality_removal,[],[f85776]) ).

thf(f85789,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(constrained_superposition,[],[f40005,f23348]) ).

thf(f85803,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(duplicate_literal_removal,[],[f85789]) ).

thf(f85804,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(trivial_inequality_removal,[],[f85803]) ).

thf(f85806,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_453 ),
    inference(constrained_superposition,[],[f33982,f23348]) ).

thf(f85808,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_453 ),
    inference(constrained_superposition,[],[f33982,f348]) ).

thf(f85815,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_453 ),
    inference(trivial_inequality_removal,[],[f85808]) ).

thf(f85819,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_453 ),
    inference(trivial_inequality_removal,[],[f85806]) ).

thf(f85823,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_422 ),
    inference(constrained_superposition,[],[f31364,f36]) ).

thf(f85828,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_422 ),
    inference(constrained_superposition,[],[f31364,f2996]) ).

thf(f85830,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_422 ),
    inference(constrained_superposition,[],[f31364,f60]) ).

thf(f85836,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_422 ),
    inference(trivial_inequality_removal,[],[f85830]) ).

thf(f85837,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_422 ),
    inference(trivial_inequality_removal,[],[f85823]) ).

thf(f85840,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_422 ),
    inference(trivial_inequality_removal,[],[f85828]) ).

thf(f85843,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_304
    | ~ spl0_559 ),
    inference(constrained_superposition,[],[f51240,f23358]) ).

thf(f85852,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_304
    | ~ spl0_559 ),
    inference(trivial_inequality_removal,[],[f85843]) ).

thf(f85859,plain,
    ( ~ spl0_312
    | ~ spl0_424
    | ~ spl0_304
    | ~ spl0_559 ),
    inference(avatar_split_clause,[],[f85852,f51239,f23357,f31534,f24149]) ).

thf(f85875,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f85152,f23358]) ).

thf(f85876,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f85152,f2996]) ).

thf(f85877,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f85152,f349]) ).

thf(f85880,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f85877]) ).

thf(f85884,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(duplicate_literal_removal,[],[f85875]) ).

thf(f85885,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f85884]) ).

thf(f85888,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f85876]) ).

thf(f85889,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | spl0_418 ),
    inference(forward_subsumption_resolution,[],[f85880,f42726]) ).

thf(f85890,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f85888,f56677]) ).

thf(f85891,plain,
    ( spl0_501
    | ~ spl0_301
    | spl0_418 ),
    inference(avatar_split_clause,[],[f85889,f31348,f23347,f41384]) ).

thf(f85892,plain,
    ( spl0_411
    | ~ spl0_301
    | spl0_420 ),
    inference(avatar_split_clause,[],[f85890,f31355,f23347,f30483]) ).

thf(f85898,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f85885,f23348]) ).

thf(f85906,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f85898]) ).

thf(f85912,plain,
    ( spl0_607
    | ~ spl0_301
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f85906,f23357,f23347,f71047]) ).

thf(f85914,plain,
    ( ~ spl0_206
    | spl0_607
    | ~ spl0_301
    | ~ spl0_486 ),
    inference(avatar_split_clause,[],[f85804,f40004,f23347,f71047,f9426]) ).

thf(f85915,plain,
    ( spl0_206
    | spl0_488
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f84837,f24143,f40736,f9426]) ).

thf(f85916,plain,
    ( ~ spl0_201
    | spl0_319
    | ~ spl0_37
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f85022,f24160,f521,f24319,f9404]) ).

thf(f85917,plain,
    ( ~ spl0_313
    | spl0_371
    | ~ spl0_14
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f85281,f23347,f223,f27743,f24153]) ).

thf(f85918,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_99
    | ~ spl0_310 ),
    inference(forward_subsumption_resolution,[],[f84329,f3386]) ).

thf(f85919,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | spl0_31
    | ~ spl0_315 ),
    inference(forward_subsumption_resolution,[],[f85016,f534]) ).

thf(f85920,plain,
    ( spl0_360
    | ~ spl0_345
    | spl0_563
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f85783,f31351,f51973,f25306,f27593]) ).

thf(f85922,plain,
    ( ~ spl0_201
    | spl0_319
    | ~ spl0_200
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f84295,f13870,f9396,f24319,f9404]) ).

thf(f85923,plain,
    ( spl0_537
    | ~ spl0_345
    | spl0_360
    | ~ spl0_432 ),
    inference(avatar_split_clause,[],[f85737,f32475,f27593,f25306,f46236]) ).

thf(f85924,plain,
    ( spl0_319
    | ~ spl0_201
    | ~ spl0_222
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f84328,f24143,f11781,f9404,f24319]) ).

thf(f85925,plain,
    ( spl0_360
    | spl0_559
    | ~ spl0_345
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f85837,f31363,f25306,f51239,f27593]) ).

thf(f85926,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | spl0_418 ),
    inference(forward_subsumption_resolution,[],[f85173,f42726]) ).

thf(f85928,plain,
    ( spl0_487
    | spl0_206
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f85567,f24160,f9426,f40627]) ).

thf(f85929,plain,
    ( spl0_479
    | spl0_360
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f85181,f23357,f27593,f39263]) ).

thf(f85930,plain,
    ( ~ spl0_308
    | spl0_370
    | ~ spl0_14
    | ~ spl0_304 ),
    inference(avatar_split_clause,[],[f85274,f23357,f223,f27739,f24136]) ).

thf(f85932,plain,
    ( spl0_548
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_453 ),
    inference(avatar_split_clause,[],[f85819,f33981,f23347,f9426,f49996]) ).

thf(f85934,plain,
    ( ~ spl0_201
    | spl0_319
    | spl0_99
    | ~ spl0_310 ),
    inference(avatar_split_clause,[],[f85918,f24143,f3385,f24319,f9404]) ).

thf(f85935,plain,
    ( ~ spl0_201
    | spl0_319
    | spl0_31
    | ~ spl0_315 ),
    inference(avatar_split_clause,[],[f85919,f24160,f458,f24319,f9404]) ).

thf(f85936,plain,
    ( ~ spl0_305
    | spl0_506
    | ~ spl0_304
    | spl0_418 ),
    inference(avatar_split_clause,[],[f85926,f31348,f23357,f41419,f24125]) ).

thf(f86017,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | spl0_418
    | ~ spl0_419 ),
    inference(forward_subsumption_resolution,[],[f85779,f42726]) ).

thf(f86020,plain,
    ( ~ spl0_395
    | ~ spl0_274
    | ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f85490,f27642,f24143,f19531,f19550,f28670]) ).

thf(f86022,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_346
    | ~ spl0_419 ),
    inference(forward_subsumption_resolution,[],[f85787,f25484]) ).

thf(f86023,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | spl0_420
    | ~ spl0_422 ),
    inference(forward_subsumption_resolution,[],[f85840,f56677]) ).

thf(f86024,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_346
    | ~ spl0_422 ),
    inference(forward_subsumption_resolution,[],[f85836,f25484]) ).

thf(f86025,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_419
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f85788,f56677]) ).

thf(f86026,plain,
    ( ~ spl0_429
    | spl0_506
    | spl0_418
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f86017,f31351,f31348,f41419,f32342]) ).

thf(f86029,plain,
    ( ~ spl0_443
    | spl0_536
    | spl0_346
    | ~ spl0_419 ),
    inference(avatar_split_clause,[],[f86022,f31351,f25483,f46212,f33721]) ).

thf(f86030,plain,
    ( ~ spl0_469
    | spl0_394
    | spl0_420
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f86023,f31363,f31355,f28667,f35792]) ).

thf(f86031,plain,
    ( ~ spl0_443
    | spl0_557
    | spl0_346
    | ~ spl0_422 ),
    inference(avatar_split_clause,[],[f86024,f31363,f25483,f51026,f33721]) ).

thf(f86032,plain,
    ( spl0_549
    | ~ spl0_469
    | ~ spl0_419
    | spl0_420 ),
    inference(avatar_split_clause,[],[f86025,f31355,f31351,f35792,f50000]) ).

thf(f86033,plain,
    ( spl0_1
    | spl0_570
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f85093,f223,f55286,f76]) ).

thf(f86088,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true ) )
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f26,f25492]) ).

thf(f86089,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f86088]) ).

thf(f86102,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f83811,f28659]) ).

thf(f86108,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f86102]) ).

thf(f86113,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_37
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f86108,f9358]) ).

thf(f86115,plain,
    ( spl0_386
    | ~ spl0_37
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f86113,f28658,f9357,f521,f28190]) ).

thf(f86160,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f85107,f19551]) ).

thf(f86164,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f86160]) ).

thf(f86168,plain,
    ( ~ spl0_201
    | spl0_319
    | spl0_223
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f85104,f27642,f11805,f24319,f9404]) ).

thf(f86169,plain,
    ( ~ spl0_310
    | spl0_321
    | ~ spl0_274
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f86164,f27642,f19550,f24459,f24143]) ).

thf(f86224,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f167,f11806]) ).

thf(f86227,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f86224]) ).

thf(f86246,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_246
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f13871,f25499]) ).

thf(f86247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f43,f25499]) ).

thf(f86248,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f26,f25499]) ).

thf(f86250,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f86248]) ).

thf(f86251,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f86247]) ).

thf(f86252,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_246
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f86246]) ).

thf(f86253,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | spl0_4
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f86251,f98]) ).

thf(f86312,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f86227,f2996]) ).

thf(f86315,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f86312]) ).

thf(f86329,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f43,f27651]) ).

thf(f86331,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f26,f27651]) ).

thf(f86332,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f86331]) ).

thf(f86335,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f86329]) ).

thf(f86410,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f43,f23351]) ).

thf(f86411,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_302 ),
    inference(constrained_superposition,[],[f26,f23351]) ).

thf(f86413,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f86411]) ).

thf(f86414,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302 ),
    inference(trivial_inequality_removal,[],[f86410]) ).

thf(f86421,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_348
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f25492]) ).

thf(f86422,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f35]) ).

thf(f86424,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_324
    | ~ spl0_417 ),
    inference(constrained_superposition,[],[f31243,f24590]) ).

thf(f86425,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_324
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f86424]) ).

thf(f86426,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_348
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f86421]) ).

thf(f86427,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_417 ),
    inference(trivial_inequality_removal,[],[f86422]) ).

thf(f86429,plain,
    ( $false
    | ~ spl0_87
    | ~ spl0_324
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f86425,f3342]) ).

thf(f86430,plain,
    ( ~ spl0_87
    | ~ spl0_324
    | ~ spl0_417 ),
    inference(avatar_contradiction_clause,[],[f86429]) ).

thf(f86431,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_348
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f86426,f61861]) ).

thf(f86432,plain,
    ( ~ spl0_10
    | ~ spl0_348
    | ~ spl0_417 ),
    inference(avatar_contradiction_clause,[],[f86431]) ).

thf(f86433,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | spl0_323
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f86427,f31536]) ).

thf(f86434,plain,
    ( $false
    | ~ spl0_10
    | spl0_323
    | ~ spl0_417 ),
    inference(forward_subsumption_resolution,[],[f86433,f61861]) ).

thf(f86435,plain,
    ( ~ spl0_10
    | spl0_323
    | ~ spl0_417 ),
    inference(avatar_contradiction_clause,[],[f86434]) ).

thf(f86436,plain,
    ( spl0_395
    | ~ spl0_99
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f86315,f11805,f166,f3385,f28670]) ).

thf(f86458,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( $true != $true )
        | ( z = X0 ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f80811,f9427]) ).

thf(f86459,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f167,f9427]) ).

thf(f86461,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f86459]) ).

thf(f86463,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ X0 @ z ) )
        | ( z = X0 ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f86458]) ).

thf(f86476,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f43,f28659]) ).

thf(f86483,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f86476]) ).

thf(f86490,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f86461,f349]) ).

thf(f86497,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f86490]) ).

thf(f86527,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(constrained_superposition,[],[f86463,f348]) ).

thf(f86539,plain,
    ( ( z
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(trivial_inequality_removal,[],[f86527]) ).

thf(f86544,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_106 ),
    inference(constrained_superposition,[],[f3605,f348]) ).

thf(f86553,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_106 ),
    inference(trivial_inequality_removal,[],[f86544]) ).

thf(f86574,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_453 ),
    inference(constrained_superposition,[],[f33982,f27628]) ).

thf(f86582,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_362 ),
    inference(constrained_superposition,[],[f381,f27628]) ).

thf(f86596,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_453 ),
    inference(duplicate_literal_removal,[],[f86574]) ).

thf(f86597,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_362
    | ~ spl0_453 ),
    inference(trivial_inequality_removal,[],[f86596]) ).

thf(f86602,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_362 ),
    inference(trivial_inequality_removal,[],[f86582]) ).

thf(f86612,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | spl0_306
    | ~ spl0_453 ),
    inference(forward_subsumption_resolution,[],[f85815,f25485]) ).

thf(f86613,plain,
    ( spl0_510
    | spl0_377
    | ~ spl0_362 ),
    inference(avatar_split_clause,[],[f86602,f27627,f27962,f42356]) ).

thf(f86614,plain,
    ( ~ spl0_31
    | spl0_315
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f86497,f9426,f166,f24160,f458]) ).

thf(f86615,plain,
    ( ~ spl0_223
    | spl0_596
    | ~ spl0_362
    | ~ spl0_453 ),
    inference(avatar_split_clause,[],[f86597,f33981,f27627,f61844,f11805]) ).

thf(f86616,plain,
    ( spl0_386
    | spl0_31
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f86483,f28658,f9357,f458,f28190]) ).

thf(f86617,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(forward_subsumption_resolution,[],[f86539,f28]) ).

thf(f86619,definition,
    ( spl0_629
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_629])],[avatar_definition]) ).

thf(f86620,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_629 ),
    inference(avatar_component_clause,[],[f86619]) ).

thf(f86621,plain,
    ( ~ spl0_31
    | spl0_629
    | spl0_306
    | ~ spl0_453 ),
    inference(avatar_split_clause,[],[f86612,f33981,f24128,f86619,f458]) ).

thf(f86622,plain,
    ( spl0_309
    | spl0_37
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f86617,f9426,f166,f521,f24139]) ).

thf(f86624,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f167,f459]) ).

thf(f86627,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f86624]) ).

thf(f86645,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f86627,f348]) ).

thf(f86651,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f86645]) ).

thf(f86681,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f3640,f27635]) ).

thf(f86682,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f5981,f27635]) ).

thf(f86683,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f6155,f27635]) ).

thf(f86684,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f1091,f27635]) ).

thf(f86685,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f827,f27635]) ).

thf(f86691,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f48,f27635]) ).

thf(f86694,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86691]) ).

thf(f86698,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86681]) ).

thf(f86699,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86683]) ).

thf(f86702,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_165
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86682]) ).

thf(f86703,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86685]) ).

thf(f86704,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f86684]) ).

thf(f86755,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f2995]) ).

thf(f86756,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_390 ),
    inference(constrained_superposition,[],[f28293,f348]) ).

thf(f86767,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f86756]) ).

thf(f86768,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_390 ),
    inference(trivial_inequality_removal,[],[f86755]) ).

thf(f86802,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(constrained_superposition,[],[f73994,f9370]) ).

thf(f86803,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(trivial_inequality_removal,[],[f86802]) ).

thf(f86806,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_20
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(forward_subsumption_resolution,[],[f86803,f388]) ).

thf(f86807,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_20
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(forward_subsumption_resolution,[],[f86806,f61861]) ).

thf(f86808,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(avatar_contradiction_clause,[],[f86807]) ).

thf(f86809,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_302
    | spl0_323 ),
    inference(forward_subsumption_resolution,[],[f86414,f31536]) ).

thf(f86810,plain,
    ( spl0_418
    | spl0_426
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86703,f27634,f31674,f31348]) ).

thf(f86811,plain,
    ( spl0_505
    | spl0_418
    | ~ spl0_393
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86704,f27634,f28663,f31348,f41415]) ).

thf(f86812,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_31
    | ~ spl0_390 ),
    inference(forward_subsumption_resolution,[],[f86767,f459]) ).

thf(f86813,plain,
    ( spl0_206
    | spl0_386
    | ~ spl0_193
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f86335,f27650,f9357,f28190,f9426]) ).

thf(f86814,plain,
    ( ~ spl0_201
    | spl0_319
    | ~ spl0_302
    | spl0_323 ),
    inference(avatar_split_clause,[],[f86809,f24554,f23350,f24319,f9404]) ).

thf(f86815,plain,
    ( spl0_377
    | ~ spl0_63
    | ~ spl0_31
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f86812,f28292,f458,f1029,f27962]) ).

thf(f86828,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f86651,f11806]) ).

thf(f86834,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f86828]) ).

thf(f86838,plain,
    ( spl0_377
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f86834,f11805,f458,f166,f27962]) ).

thf(f86860,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f43,f27963]) ).

thf(f86861,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f26,f27963]) ).

thf(f86862,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f86861]) ).

thf(f86864,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f86860]) ).

thf(f86897,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f11782,f28671]) ).

thf(f86898,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f43,f28671]) ).

thf(f86899,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f26,f28671]) ).

thf(f86900,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f86899]) ).

thf(f86901,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f86898]) ).

thf(f86902,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_222
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f86897]) ).

thf(f86993,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_619 ),
    inference(constrained_superposition,[],[f75256,f60]) ).

thf(f86997,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_619 ),
    inference(trivial_inequality_removal,[],[f86993]) ).

thf(f87041,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_239
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f13033,f27651]) ).

thf(f87048,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f87041]) ).

thf(f87050,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_150
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f4644,f9405]) ).

thf(f87051,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(constrained_superposition,[],[f4644,f3414]) ).

thf(f87052,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ z )
         != $true ) )
    | ~ spl0_150 ),
    inference(constrained_superposition,[],[f4644,f35]) ).

thf(f87059,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_150
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f4644,f23355]) ).

thf(f87060,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_150
    | ~ spl0_420 ),
    inference(constrained_superposition,[],[f4644,f31356]) ).

thf(f87068,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_150
    | ~ spl0_420 ),
    inference(trivial_inequality_removal,[],[f87060]) ).

thf(f87069,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_150 ),
    inference(trivial_inequality_removal,[],[f87052]) ).

thf(f87070,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(trivial_inequality_removal,[],[f87051]) ).

thf(f87071,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_150
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f87059]) ).

thf(f87074,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_150
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f87050]) ).

thf(f87079,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_150
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f87068,f25499]) ).

thf(f87080,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
          = $true ) )
    | ~ spl0_10
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f87069,f61861]) ).

thf(f87081,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | spl0_87
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f87070,f3549]) ).

thf(f87082,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_150
    | spl0_200
    | ~ spl0_303 ),
    inference(forward_subsumption_resolution,[],[f87071,f30104]) ).

thf(f87083,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_150
    | spl0_200
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f87074,f30104]) ).

thf(f87084,plain,
    ( $false
    | spl0_87
    | ~ spl0_150
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(forward_subsumption_resolution,[],[f87079,f3549]) ).

thf(f87085,plain,
    ( spl0_87
    | ~ spl0_150
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(avatar_contradiction_clause,[],[f87084]) ).

thf(f87086,plain,
    ( spl0_48
    | ~ spl0_10
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f87080,f4643,f143,f748]) ).

thf(f87087,plain,
    ( $false
    | ~ spl0_10
    | spl0_87
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(forward_subsumption_resolution,[],[f87081,f61861]) ).

thf(f87088,plain,
    ( ~ spl0_10
    | spl0_87
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(avatar_contradiction_clause,[],[f87087]) ).

thf(f87089,plain,
    ( $false
    | ~ spl0_150
    | spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f87082,f25499]) ).

thf(f87090,plain,
    ( ~ spl0_150
    | spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_contradiction_clause,[],[f87089]) ).

thf(f87091,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_150
    | spl0_200
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f87083,f61861]) ).

thf(f87092,plain,
    ( ~ spl0_10
    | ~ spl0_150
    | spl0_200
    | ~ spl0_201 ),
    inference(avatar_contradiction_clause,[],[f87091]) ).

thf(f87111,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f13076,f27643]) ).

thf(f87113,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f13076,f27963]) ).

thf(f87115,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f87111]) ).

thf(f87119,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true ) )
    | ~ spl0_242
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f87113]) ).

thf(f87164,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(constrained_superposition,[],[f71085,f27625]) ).

thf(f87168,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(trivial_inequality_removal,[],[f87164]) ).

thf(f87171,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(forward_subsumption_resolution,[],[f87168,f23355]) ).

thf(f87172,plain,
    ( $false
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(forward_subsumption_resolution,[],[f87171,f25492]) ).

thf(f87173,plain,
    ( ~ spl0_303
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(avatar_contradiction_clause,[],[f87172]) ).

thf(f87176,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_348 ),
    inference(constrained_superposition,[],[f86089,f23351]) ).

thf(f87179,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_348 ),
    inference(trivial_inequality_removal,[],[f87176]) ).

thf(f87239,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_438 ),
    inference(constrained_superposition,[],[f32689,f2995]) ).

thf(f87240,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_438 ),
    inference(constrained_superposition,[],[f32689,f348]) ).

thf(f87247,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_438 ),
    inference(trivial_inequality_removal,[],[f87239]) ).

thf(f87248,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_438 ),
    inference(trivial_inequality_removal,[],[f87240]) ).

thf(f87253,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f86862,f35]) ).

thf(f87255,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f86862,f27643]) ).

thf(f87258,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f87255]) ).

thf(f87260,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f87253]) ).

thf(f87265,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_629 ),
    inference(constrained_superposition,[],[f86620,f36]) ).

thf(f87279,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_629 ),
    inference(trivial_inequality_removal,[],[f87265]) ).

thf(f87282,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_360
    | ~ spl0_629 ),
    inference(forward_subsumption_resolution,[],[f87279,f27594]) ).

thf(f87283,plain,
    ( ~ spl0_388
    | ~ spl0_63
    | spl0_360
    | ~ spl0_629 ),
    inference(avatar_split_clause,[],[f87282,f86619,f27593,f1029,f28279]) ).

thf(f87349,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f86900,f35]) ).

thf(f87351,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f86900,f27643]) ).

thf(f87353,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f86900,f27963]) ).

thf(f87354,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f87349]) ).

thf(f87355,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f87353]) ).

thf(f87357,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f87351]) ).

thf(f87388,plain,
    ( spl0_420
    | spl0_427
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86698,f27634,f31681,f31355]) ).

thf(f87389,plain,
    ( ~ spl0_372
    | spl0_373
    | spl0_420
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86699,f27634,f31355,f27946,f27943]) ).

thf(f87451,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f86332,f35]) ).

thf(f87453,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f86332,f27643]) ).

thf(f87455,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f86332,f27963]) ).

thf(f87456,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f87451]) ).

thf(f87457,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f87453]) ).

thf(f87459,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f87455]) ).

thf(f87490,plain,
    ( ~ spl0_372
    | spl0_324
    | ~ spl0_165
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86702,f27634,f5980,f24589,f27943]) ).

thf(f87503,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f87457,f27625]) ).

thf(f87510,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f87503]) ).

thf(f87511,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f87510,f23355]) ).

thf(f87512,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(forward_subsumption_resolution,[],[f87511,f23351]) ).

thf(f87513,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(avatar_contradiction_clause,[],[f87512]) ).

thf(f87515,plain,
    ( ~ spl0_62
    | spl0_195
    | ~ spl0_19
    | ~ spl0_619 ),
    inference(avatar_split_clause,[],[f86997,f75255,f278,f9369,f1025]) ).

thf(f87516,plain,
    ( ~ spl0_193
    | spl0_386
    | spl0_99
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f86901,f28670,f3385,f28190,f9357]) ).

thf(f87517,plain,
    ( spl0_223
    | spl0_609
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f87456,f27650,f71084,f11805]) ).

thf(f87518,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_324
    | ~ spl0_438 ),
    inference(forward_subsumption_resolution,[],[f87247,f32483]) ).

thf(f87520,definition,
    ( spl0_630
  <=> ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_630])],[avatar_definition]) ).

thf(f87521,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_630 ),
    inference(avatar_component_clause,[],[f87520]) ).

thf(f87522,plain,
    ( spl0_223
    | spl0_630
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f87354,f28670,f87520,f11805]) ).

thf(f87523,plain,
    ( spl0_306
    | ~ spl0_468
    | ~ spl0_32
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f87248,f32688,f490,f35753,f24128]) ).

thf(f87524,plain,
    ( spl0_223
    | spl0_38
    | ~ spl0_23
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f87260,f27962,f397,f524,f11805]) ).

thf(f87526,plain,
    ( ~ spl0_193
    | spl0_386
    | ~ spl0_222
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f86902,f28670,f11781,f28190,f9357]) ).

thf(f87527,plain,
    ( spl0_386
    | ~ spl0_193
    | ~ spl0_239
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f87048,f27650,f13032,f9357,f28190]) ).

thf(f87528,plain,
    ( ~ spl0_104
    | ~ spl0_99
    | spl0_274
    | ~ spl0_390 ),
    inference(avatar_split_clause,[],[f86768,f28292,f19550,f3385,f3594]) ).

thf(f87530,plain,
    ( spl0_320
    | ~ spl0_309
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f87258,f27962,f27642,f24139,f24452]) ).

thf(f87531,plain,
    ( ~ spl0_95
    | ~ spl0_439
    | spl0_324
    | ~ spl0_438 ),
    inference(avatar_split_clause,[],[f87518,f32688,f24589,f32768,f3370]) ).

thf(f87534,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_24
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f13871,f402]) ).

thf(f87535,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_24 ),
    inference(constrained_superposition,[],[f43,f402]) ).

thf(f87538,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_24
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f87534]) ).

thf(f87540,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f87535]) ).

thf(f87552,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f86651,f3555]) ).

thf(f87556,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f87552]) ).

thf(f87561,plain,
    ( spl0_83
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f87556,f3385,f458,f166,f3327]) ).

thf(f87654,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_195
    | ~ spl0_246 ),
    inference(constrained_superposition,[],[f13871,f9370]) ).

thf(f87655,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_195 ),
    inference(constrained_superposition,[],[f43,f9370]) ).

thf(f87656,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f87355,f9370]) ).

thf(f87657,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(constrained_superposition,[],[f87357,f9370]) ).

thf(f87658,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f87457,f9370]) ).

thf(f87659,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f87459,f9370]) ).

thf(f87661,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_195 ),
    inference(trivial_inequality_removal,[],[f87655]) ).

thf(f87662,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f87657]) ).

thf(f87663,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_195
    | ~ spl0_246 ),
    inference(trivial_inequality_removal,[],[f87654]) ).

thf(f87664,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(trivial_inequality_removal,[],[f87656]) ).

thf(f87665,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f87659]) ).

thf(f87667,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f87658]) ).

thf(f87669,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | spl0_4
    | ~ spl0_195 ),
    inference(forward_subsumption_resolution,[],[f87661,f98]) ).

thf(f87671,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(forward_subsumption_resolution,[],[f87664,f402]) ).

thf(f87672,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f87665,f402]) ).

thf(f87678,plain,
    ( ~ spl0_200
    | ~ spl0_370
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(avatar_split_clause,[],[f87667,f27650,f27642,f9369,f27739,f9396]) ).

thf(f87679,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | spl0_4
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f87540,f98]) ).

thf(f87680,plain,
    ( spl0_478
    | spl0_360
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f86694,f27634,f27593,f39257]) ).

thf(f87681,plain,
    ( spl0_386
    | ~ spl0_193
    | spl0_4
    | ~ spl0_195 ),
    inference(avatar_split_clause,[],[f87669,f9369,f97,f9357,f28190]) ).

thf(f87682,plain,
    ( ~ spl0_370
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f87672,f27962,f27650,f9369,f401,f27739]) ).

thf(f87683,plain,
    ( spl0_386
    | ~ spl0_193
    | ~ spl0_195
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f87663,f13870,f9369,f9357,f28190]) ).

thf(f87684,plain,
    ( ~ spl0_94
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f87671,f28670,f27962,f9369,f401,f3366]) ).

thf(f87685,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_242
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f87119,f27962,f13075,f521,f524]) ).

thf(f87686,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_24
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f87538,f13870,f401,f524,f521]) ).

thf(f87687,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_223
    | ~ spl0_377 ),
    inference(avatar_split_clause,[],[f86864,f27962,f11805,f524,f521]) ).

thf(f87688,plain,
    ( ~ spl0_94
    | ~ spl0_200
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(avatar_split_clause,[],[f87662,f28670,f27642,f9369,f9396,f3366]) ).

thf(f87689,plain,
    ( spl0_319
    | ~ spl0_201
    | ~ spl0_302
    | ~ spl0_348 ),
    inference(avatar_split_clause,[],[f87179,f25491,f23350,f9404,f24319]) ).

thf(f87690,plain,
    ( spl0_83
    | ~ spl0_32
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f86553,f3604,f458,f490,f3327]) ).

thf(f87691,plain,
    ( ~ spl0_201
    | spl0_319
    | ~ spl0_242
    | ~ spl0_366 ),
    inference(avatar_split_clause,[],[f87115,f27642,f13075,f24319,f9404]) ).

thf(f87692,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_4
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f87679,f401,f97,f524,f521]) ).

thf(f87717,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_323 ),
    inference(constrained_superposition,[],[f31536,f137]) ).

thf(f87732,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_323 ),
    inference(trivial_inequality_removal,[],[f87717]) ).

thf(f87734,plain,
    ( spl0_360
    | ~ spl0_8
    | spl0_323 ),
    inference(avatar_split_clause,[],[f87732,f24554,f136,f27593]) ).

thf(f87910,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(constrained_superposition,[],[f13033,f23355]) ).

thf(f87912,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(constrained_superposition,[],[f86250,f23355]) ).

thf(f87915,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(trivial_inequality_removal,[],[f87910]) ).

thf(f87916,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(trivial_inequality_removal,[],[f87912]) ).

thf(f87918,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(forward_subsumption_resolution,[],[f87916,f9397]) ).

thf(f87919,plain,
    ( spl0_327
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f87918,f25483,f23354,f9396,f24750]) ).

thf(f88321,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_509 ),
    inference(constrained_superposition,[],[f42353,f2995]) ).

thf(f88337,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_509 ),
    inference(trivial_inequality_removal,[],[f88321]) ).

thf(f88386,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true ) )
    | ~ spl0_197 ),
    inference(constrained_superposition,[],[f9379,f35]) ).

thf(f88390,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_197 ),
    inference(trivial_inequality_removal,[],[f88386]) ).

thf(f88434,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_412 ),
    inference(constrained_superposition,[],[f30519,f36]) ).

thf(f88448,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_412 ),
    inference(trivial_inequality_removal,[],[f88434]) ).

thf(f88451,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | spl0_196
    | ~ spl0_412 ),
    inference(forward_subsumption_resolution,[],[f88448,f9374]) ).

thf(f88461,definition,
    ( spl0_633
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_633])],[avatar_definition]) ).

thf(f88462,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_633 ),
    inference(avatar_component_clause,[],[f88461]) ).

thf(f88463,plain,
    ( ~ spl0_19
    | spl0_633
    | spl0_196
    | ~ spl0_412 ),
    inference(avatar_split_clause,[],[f88451,f30518,f9373,f88461,f278]) ).

thf(f88471,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f80,f59]) ).

thf(f88496,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f88471]) ).

thf(f88497,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f88496]) ).

thf(f88503,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_374 ),
    inference(constrained_superposition,[],[f27952,f36]) ).

thf(f88507,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_362
    | ~ spl0_374 ),
    inference(constrained_superposition,[],[f27952,f27628]) ).

thf(f88508,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true ) )
    | ~ spl0_374 ),
    inference(constrained_superposition,[],[f27952,f2996]) ).

thf(f88509,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_374 ),
    inference(constrained_superposition,[],[f27952,f349]) ).

thf(f88512,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_374 ),
    inference(trivial_inequality_removal,[],[f88503]) ).

thf(f88514,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_362
    | ~ spl0_374 ),
    inference(trivial_inequality_removal,[],[f88507]) ).

thf(f88517,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_374 ),
    inference(trivial_inequality_removal,[],[f88509]) ).

thf(f88518,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_374 ),
    inference(trivial_inequality_removal,[],[f88508]) ).

thf(f88521,plain,
    ( ~ spl0_308
    | spl0_438
    | ~ spl0_362
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f88514,f27951,f27627,f32688,f24136]) ).

thf(f88523,definition,
    ( spl0_634
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_634])],[avatar_definition]) ).

thf(f88524,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_634 ),
    inference(avatar_component_clause,[],[f88523]) ).

thf(f88531,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_634 ),
    inference(constrained_superposition,[],[f88524,f27628]) ).

thf(f88532,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_634 ),
    inference(constrained_superposition,[],[f88524,f2996]) ).

thf(f88537,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_634 ),
    inference(trivial_inequality_removal,[],[f88532]) ).

thf(f88540,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_362
    | ~ spl0_634 ),
    inference(trivial_inequality_removal,[],[f88531]) ).

thf(f88544,plain,
    ( ~ spl0_308
    | ~ spl0_424
    | ~ spl0_362
    | ~ spl0_634 ),
    inference(avatar_split_clause,[],[f88540,f88523,f27627,f31534,f24136]) ).

thf(f88573,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_206
    | ~ spl0_627 ),
    inference(constrained_superposition,[],[f82160,f9427]) ).

thf(f88577,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_206
    | ~ spl0_627 ),
    inference(trivial_inequality_removal,[],[f88573]) ).

thf(f88602,definition,
    ( spl0_635
  <=> ! [X0: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_635])],[avatar_definition]) ).

thf(f88603,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_635 ),
    inference(avatar_component_clause,[],[f88602]) ).

thf(f88604,plain,
    ( spl0_315
    | spl0_635
    | ~ spl0_206
    | ~ spl0_627 ),
    inference(avatar_split_clause,[],[f88577,f82159,f9426,f88602,f24160]) ).

thf(f88605,plain,
    ( ~ spl0_348
    | spl0_466
    | ~ spl0_246
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f86252,f25483,f13870,f34842,f25491]) ).

thf(f88606,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_324
    | ~ spl0_509 ),
    inference(forward_subsumption_resolution,[],[f88337,f32483]) ).

thf(f88608,definition,
    ( spl0_636
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_636])],[avatar_definition]) ).

thf(f88609,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_636 ),
    inference(avatar_component_clause,[],[f88608]) ).

thf(f88610,plain,
    ( spl0_636
    | ~ spl0_32
    | spl0_392
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f88517,f27951,f28658,f490,f88608]) ).

thf(f88611,plain,
    ( ~ spl0_104
    | spl0_395
    | ~ spl0_95
    | ~ spl0_634 ),
    inference(avatar_split_clause,[],[f88537,f88523,f3370,f28670,f3594]) ).

thf(f88612,plain,
    ( ~ spl0_348
    | spl0_466
    | spl0_4
    | ~ spl0_346 ),
    inference(avatar_split_clause,[],[f86253,f25483,f97,f34842,f25491]) ).

thf(f88613,plain,
    ( spl0_223
    | spl0_219
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f88390,f9378,f11283,f11805]) ).

thf(f88614,plain,
    ( ~ spl0_348
    | spl0_466
    | ~ spl0_239
    | ~ spl0_303 ),
    inference(avatar_split_clause,[],[f87915,f23354,f13032,f34842,f25491]) ).

thf(f88617,definition,
    ( spl0_637
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_637])],[avatar_definition]) ).

thf(f88618,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_637 ),
    inference(avatar_component_clause,[],[f88617]) ).

thf(f88619,plain,
    ( ~ spl0_95
    | spl0_395
    | spl0_637
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f88518,f27951,f88617,f28670,f3370]) ).

thf(f88620,plain,
    ( ~ spl0_439
    | ~ spl0_110
    | spl0_324
    | ~ spl0_509 ),
    inference(avatar_split_clause,[],[f88606,f42352,f24589,f3663,f32768]) ).

thf(f88621,plain,
    ( spl0_634
    | spl0_192
    | ~ spl0_19
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f88512,f27951,f278,f9353,f88523]) ).

thf(f88687,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_323
    | ~ spl0_627 ),
    inference(constrained_superposition,[],[f82160,f24555]) ).

thf(f88692,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f31,f24555]) ).

thf(f88694,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_323
    | ~ spl0_627 ),
    inference(trivial_inequality_removal,[],[f88687]) ).

thf(f88697,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f88692]) ).

thf(f88757,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f80,f27640]) ).

thf(f88758,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_339
    | ~ spl0_365 ),
    inference(constrained_superposition,[],[f25090,f27640]) ).

thf(f88779,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f88757]) ).

thf(f88786,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_339
    | ~ spl0_365 ),
    inference(trivial_inequality_removal,[],[f88758]) ).

thf(f88795,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_365
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f88779,f28305]) ).

thf(f88796,plain,
    ( ~ spl0_372
    | ~ spl0_393
    | ~ spl0_339
    | ~ spl0_365 ),
    inference(avatar_split_clause,[],[f88786,f27639,f25089,f28663,f27943]) ).

thf(f88797,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_206
    | ~ spl0_365
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f88795,f9427]) ).

thf(f88798,plain,
    ( spl0_538
    | ~ spl0_2
    | ~ spl0_206
    | ~ spl0_365
    | spl0_383 ),
    inference(avatar_split_clause,[],[f88797,f27996,f27639,f9426,f79,f46275]) ).

thf(f88803,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_374 ),
    inference(constrained_superposition,[],[f27952,f27648]) ).

thf(f88804,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f3322,f27648]) ).

thf(f88805,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f3640,f27648]) ).

thf(f88810,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f827,f27648]) ).

thf(f88824,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_367
    | ~ spl0_374 ),
    inference(trivial_inequality_removal,[],[f88803]) ).

thf(f88830,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f88804]) ).

thf(f88832,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f88805]) ).

thf(f88836,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f88810]) ).

thf(f88839,plain,
    ( ~ spl0_313
    | spl0_398
    | ~ spl0_367
    | ~ spl0_374 ),
    inference(avatar_split_clause,[],[f88824,f27951,f27647,f28690,f24153]) ).

thf(f88840,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | spl0_274
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f88830,f53752]) ).

thf(f88841,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_367
    | spl0_395 ),
    inference(forward_subsumption_resolution,[],[f88832,f39832]) ).

thf(f88842,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_367
    | spl0_392 ),
    inference(forward_subsumption_resolution,[],[f88836,f39829]) ).

thf(f88844,plain,
    ( spl0_411
    | spl0_274
    | ~ spl0_367 ),
    inference(avatar_split_clause,[],[f88840,f27647,f19550,f30483]) ).

thf(f88845,plain,
    ( spl0_397
    | ~ spl0_367
    | spl0_395 ),
    inference(avatar_split_clause,[],[f88841,f28670,f27647,f28682]) ).

thf(f88846,plain,
    ( spl0_391
    | ~ spl0_367
    | spl0_392 ),
    inference(avatar_split_clause,[],[f88842,f28658,f27647,f28655]) ).

thf(f88897,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_633 ),
    inference(constrained_superposition,[],[f88462,f27640]) ).

thf(f88899,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_633 ),
    inference(constrained_superposition,[],[f88462,f349]) ).

thf(f88904,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_365
    | ~ spl0_633 ),
    inference(trivial_inequality_removal,[],[f88897]) ).

thf(f88905,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_633 ),
    inference(trivial_inequality_removal,[],[f88899]) ).

thf(f88910,plain,
    ( ~ spl0_381
    | ~ spl0_388
    | ~ spl0_365
    | ~ spl0_633 ),
    inference(avatar_split_clause,[],[f88904,f88461,f27639,f28279,f27981]) ).

thf(f88916,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_195
    | ~ spl0_528 ),
    inference(constrained_superposition,[],[f44637,f9370]) ).

thf(f88921,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_195
    | ~ spl0_528 ),
    inference(trivial_inequality_removal,[],[f88916]) ).

thf(f89009,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_636 ),
    inference(constrained_superposition,[],[f88609,f2996]) ).

thf(f89012,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_636 ),
    inference(trivial_inequality_removal,[],[f89009]) ).

thf(f89025,plain,
    ( spl0_315
    | ~ spl0_32
    | ~ spl0_63
    | ~ spl0_633 ),
    inference(avatar_split_clause,[],[f88905,f88461,f1029,f490,f24160]) ).

thf(f89026,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_10
    | ~ spl0_195
    | ~ spl0_528 ),
    inference(forward_subsumption_resolution,[],[f88921,f61861]) ).

thf(f89028,definition,
    ( spl0_638
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_638])],[avatar_definition]) ).

thf(f89029,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_638 ),
    inference(avatar_component_clause,[],[f89028]) ).

thf(f89030,plain,
    ( spl0_638
    | spl0_418
    | ~ spl0_323
    | ~ spl0_627 ),
    inference(avatar_split_clause,[],[f88694,f82159,f24554,f31348,f89028]) ).

thf(f89031,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_195
    | ~ spl0_528 ),
    inference(avatar_split_clause,[],[f89026,f44636,f9369,f143,f76]) ).

thf(f89032,plain,
    ( spl0_395
    | ~ spl0_95
    | ~ spl0_163
    | ~ spl0_636 ),
    inference(avatar_split_clause,[],[f89012,f88608,f5933,f3370,f28670]) ).

thf(f89106,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_200 ),
    inference(constrained_superposition,[],[f30104,f455]) ).

thf(f89107,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_200 ),
    inference(trivial_inequality_removal,[],[f89106]) ).

thf(f89108,plain,
    ( $false
    | ~ spl0_30
    | spl0_200
    | spl0_206 ),
    inference(forward_subsumption_resolution,[],[f89107,f24166]) ).

thf(f89109,plain,
    ( ~ spl0_30
    | spl0_200
    | spl0_206 ),
    inference(avatar_contradiction_clause,[],[f89108]) ).

thf(f89114,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f31,f11806]) ).

thf(f89119,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f89114]) ).

thf(f89126,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_381 ),
    inference(constrained_superposition,[],[f27982,f32]) ).

thf(f89127,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ z ) )
    | spl0_381 ),
    inference(trivial_inequality_removal,[],[f89126]) ).

thf(f89130,plain,
    ( spl0_248
    | spl0_383
    | spl0_381 ),
    inference(avatar_split_clause,[],[f89127,f27981,f27996,f14270]) ).

thf(f89212,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f224,f59]) ).

thf(f89215,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f89212]) ).

thf(f89223,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_367
    | ~ spl0_526 ),
    inference(constrained_superposition,[],[f42968,f27648]) ).

thf(f89224,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f80,f27648]) ).

thf(f89226,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_636 ),
    inference(constrained_superposition,[],[f88609,f27648]) ).

thf(f89234,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(constrained_superposition,[],[f381,f27648]) ).

thf(f89242,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f89234]) ).

thf(f89248,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_367
    | ~ spl0_526 ),
    inference(trivial_inequality_removal,[],[f89223]) ).

thf(f89256,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_367 ),
    inference(trivial_inequality_removal,[],[f89224]) ).

thf(f89257,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_367
    | ~ spl0_636 ),
    inference(trivial_inequality_removal,[],[f89226]) ).

thf(f89261,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_367
    | spl0_377 ),
    inference(forward_subsumption_resolution,[],[f89242,f28298]) ).

thf(f89262,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_223
    | ~ spl0_367
    | ~ spl0_526 ),
    inference(forward_subsumption_resolution,[],[f89248,f11806]) ).

thf(f89265,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_223
    | ~ spl0_367 ),
    inference(forward_subsumption_resolution,[],[f89256,f11806]) ).

thf(f89266,plain,
    ( ~ spl0_429
    | ~ spl0_313
    | ~ spl0_367
    | ~ spl0_636 ),
    inference(avatar_split_clause,[],[f89257,f88608,f27647,f24153,f32342]) ).

thf(f89267,plain,
    ( spl0_501
    | ~ spl0_367
    | spl0_377 ),
    inference(avatar_split_clause,[],[f89261,f27962,f27647,f41384]) ).

thf(f89268,plain,
    ( ~ spl0_393
    | ~ spl0_223
    | ~ spl0_367
    | ~ spl0_526 ),
    inference(avatar_split_clause,[],[f89262,f42967,f27647,f11805,f28663]) ).

thf(f89269,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_223
    | ~ spl0_367
    | spl0_370 ),
    inference(forward_subsumption_resolution,[],[f89265,f28198]) ).

thf(f89270,plain,
    ( spl0_538
    | ~ spl0_2
    | ~ spl0_223
    | ~ spl0_367
    | spl0_370 ),
    inference(avatar_split_clause,[],[f89269,f27739,f27647,f11805,f79,f46275]) ).

thf(f89301,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(constrained_superposition,[],[f86413,f27625]) ).

thf(f89306,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361 ),
    inference(trivial_inequality_removal,[],[f89301]) ).

thf(f89311,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f89306,f27643]) ).

thf(f89361,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(constrained_superposition,[],[f89311,f27632]) ).

thf(f89363,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(trivial_inequality_removal,[],[f89361]) ).

thf(f89366,plain,
    ( $false
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(forward_subsumption_resolution,[],[f89363,f23355]) ).

thf(f89367,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(avatar_contradiction_clause,[],[f89366]) ).

thf(f89378,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f43,f9397]) ).

thf(f89383,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f89378]) ).

thf(f89385,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_200
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[],[f89383,f9405]) ).

thf(f89452,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f26,f27744]) ).

thf(f89455,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X1 )
         != $true ) )
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f89452]) ).

thf(f89561,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(constrained_superposition,[],[f87521,f27651]) ).

thf(f89562,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_368 ),
    inference(constrained_superposition,[],[f26,f27651]) ).

thf(f89565,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_368 ),
    inference(trivial_inequality_removal,[],[f89562]) ).

thf(f89567,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(trivial_inequality_removal,[],[f89561]) ).

thf(f89568,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_310
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(forward_subsumption_resolution,[],[f89567,f24144]) ).

thf(f89569,plain,
    ( $false
    | ~ spl0_201
    | ~ spl0_310
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(forward_subsumption_resolution,[],[f89568,f9405]) ).

thf(f89570,plain,
    ( ~ spl0_201
    | ~ spl0_310
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(avatar_contradiction_clause,[],[f89569]) ).

thf(f89594,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f3322,f23348]) ).

thf(f89595,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f3640,f23348]) ).

thf(f89596,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f5981,f23348]) ).

thf(f89597,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f6155,f23348]) ).

thf(f89599,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f827,f23348]) ).

thf(f89600,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(constrained_superposition,[],[f381,f23348]) ).

thf(f89608,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89595]) ).

thf(f89610,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_165
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89596]) ).

thf(f89613,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89594]) ).

thf(f89619,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89597]) ).

thf(f89623,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89599]) ).

thf(f89624,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_301 ),
    inference(trivial_inequality_removal,[],[f89600]) ).

thf(f89626,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f80,f23358]) ).

thf(f89645,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f89626]) ).

thf(f89660,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_304
    | spl0_370 ),
    inference(forward_subsumption_resolution,[],[f89645,f28198]) ).

thf(f89665,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_304
    | ~ spl0_323
    | spl0_370 ),
    inference(forward_subsumption_resolution,[],[f89660,f24555]) ).

thf(f89666,plain,
    ( spl0_561
    | ~ spl0_2
    | ~ spl0_304
    | ~ spl0_323
    | spl0_370 ),
    inference(avatar_split_clause,[],[f89665,f27739,f24554,f23357,f79,f51532]) ).

thf(f89725,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_14 ),
    inference(constrained_superposition,[],[f89215,f348]) ).

thf(f89746,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f89725]) ).

thf(f89753,plain,
    ( ~ spl0_32
    | spl0_33
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f89746,f223,f493,f490]) ).

thf(f89779,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_623 ),
    inference(constrained_superposition,[],[f79744,f2996]) ).

thf(f89791,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_623 ),
    inference(trivial_inequality_removal,[],[f89779]) ).

thf(f89798,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_634 ),
    inference(constrained_superposition,[],[f88524,f349]) ).

thf(f89802,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_634 ),
    inference(trivial_inequality_removal,[],[f89798]) ).

thf(f89808,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_392
    | ~ spl0_634 ),
    inference(forward_subsumption_resolution,[],[f89802,f39829]) ).

thf(f89809,plain,
    ( ~ spl0_32
    | ~ spl0_63
    | spl0_392
    | ~ spl0_634 ),
    inference(avatar_split_clause,[],[f89808,f88523,f28658,f1029,f490]) ).

thf(f89843,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_607 ),
    inference(constrained_superposition,[],[f71048,f2996]) ).

thf(f89844,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_607 ),
    inference(constrained_superposition,[],[f71048,f349]) ).

thf(f89853,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_607 ),
    inference(trivial_inequality_removal,[],[f89844]) ).

thf(f89854,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_607 ),
    inference(trivial_inequality_removal,[],[f89843]) ).

thf(f89880,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_535 ),
    inference(constrained_superposition,[],[f46163,f23348]) ).

thf(f89893,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_301
    | ~ spl0_535 ),
    inference(trivial_inequality_removal,[],[f89880]) ).

thf(f89894,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_301
    | ~ spl0_323
    | ~ spl0_535 ),
    inference(forward_subsumption_resolution,[],[f89893,f24555]) ).

thf(f89895,plain,
    ( ~ spl0_312
    | ~ spl0_301
    | ~ spl0_323
    | ~ spl0_535 ),
    inference(avatar_split_clause,[],[f89894,f46162,f24554,f23347,f24149]) ).

thf(f89896,plain,
    ( spl0_510
    | spl0_309
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89624,f23347,f24139,f42356]) ).

thf(f89897,plain,
    ( ~ spl0_312
    | spl0_273
    | ~ spl0_165
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89610,f23347,f5980,f19531,f24149]) ).

thf(f89898,plain,
    ( spl0_5
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f88497,f79,f97,f100]) ).

thf(f89900,plain,
    ( spl0_418
    | ~ spl0_429
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f89853,f71047,f32342,f31348]) ).

thf(f89901,plain,
    ( ~ spl0_104
    | spl0_310
    | ~ spl0_110
    | ~ spl0_623 ),
    inference(avatar_split_clause,[],[f89791,f79743,f3663,f24143,f3594]) ).

thf(f89902,plain,
    ( spl0_4
    | spl0_319
    | ~ spl0_200
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f89385,f9404,f9396,f24319,f97]) ).

thf(f89903,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_420
    | ~ spl0_607 ),
    inference(forward_subsumption_resolution,[],[f89854,f56677]) ).

thf(f89904,plain,
    ( ~ spl0_312
    | spl0_311
    | spl0_310
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89619,f23347,f24143,f24146,f24149]) ).

thf(f89906,plain,
    ( spl0_273
    | spl0_317
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89613,f23347,f24170,f19531]) ).

thf(f89907,plain,
    ( ~ spl0_469
    | spl0_420
    | ~ spl0_607 ),
    inference(avatar_split_clause,[],[f89903,f71047,f31355,f35792]) ).

thf(f89908,plain,
    ( spl0_316
    | spl0_315
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89623,f23347,f24160,f24163]) ).

thf(f89909,plain,
    ( spl0_310
    | spl0_318
    | ~ spl0_301 ),
    inference(avatar_split_clause,[],[f89608,f23347,f24174,f24143]) ).

thf(f89916,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f26,f398]) ).

thf(f89917,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f89916]) ).

thf(f89960,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f26,f28659]) ).

thf(f89961,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f89960]) ).

thf(f90012,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_312 ),
    inference(constrained_superposition,[],[f24150,f32]) ).

thf(f90017,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_312 ),
    inference(trivial_inequality_removal,[],[f90012]) ).

thf(f90021,plain,
    ( spl0_324
    | spl0_325
    | spl0_312 ),
    inference(avatar_split_clause,[],[f90017,f24149,f24595,f24589]) ).

thf(f90130,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_2
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f80,f27635]) ).

thf(f90131,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f3322,f27635]) ).

thf(f90135,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f1091,f27635]) ).

thf(f90137,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(constrained_superposition,[],[f381,f27635]) ).

thf(f90149,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f90130]) ).

thf(f90151,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f90135]) ).

thf(f90152,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f90137]) ).

thf(f90157,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_364 ),
    inference(trivial_inequality_removal,[],[f90131]) ).

thf(f90161,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_364
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f90149,f28305]) ).

thf(f90162,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_2
    | ~ spl0_323
    | ~ spl0_364
    | spl0_383 ),
    inference(forward_subsumption_resolution,[],[f90161,f24555]) ).

thf(f90163,plain,
    ( spl0_592
    | ~ spl0_2
    | ~ spl0_323
    | ~ spl0_364
    | spl0_383 ),
    inference(avatar_split_clause,[],[f90162,f27996,f27634,f24554,f79,f61796]) ).

thf(f90215,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_341 ),
    inference(constrained_superposition,[],[f25102,f60]) ).

thf(f90216,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_341 ),
    inference(trivial_inequality_removal,[],[f90215]) ).

thf(f90248,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_635 ),
    inference(constrained_superposition,[],[f88603,f2996]) ).

thf(f90252,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_635 ),
    inference(trivial_inequality_removal,[],[f90248]) ).

thf(f90260,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_310
    | ~ spl0_635 ),
    inference(forward_subsumption_resolution,[],[f90252,f34435]) ).

thf(f90261,plain,
    ( ~ spl0_110
    | ~ spl0_95
    | spl0_310
    | ~ spl0_635 ),
    inference(avatar_split_clause,[],[f90260,f88602,f24143,f3370,f3663]) ).

thf(f90274,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f89917,f35]) ).

thf(f90277,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( b @ ( s @ ( s @ z ) ) @ z )
          = $true )
        | ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f90274]) ).

thf(f90295,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_596 ),
    inference(constrained_superposition,[],[f61845,f349]) ).

thf(f90303,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_596 ),
    inference(trivial_inequality_removal,[],[f90295]) ).

thf(f90415,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_637 ),
    inference(constrained_superposition,[],[f88618,f349]) ).

thf(f90421,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_637 ),
    inference(trivial_inequality_removal,[],[f90415]) ).

thf(f90449,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_638 ),
    inference(constrained_superposition,[],[f89029,f27635]) ).

thf(f90450,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_638 ),
    inference(constrained_superposition,[],[f89029,f2996]) ).

thf(f90455,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_638 ),
    inference(trivial_inequality_removal,[],[f90450]) ).

thf(f90459,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_364
    | ~ spl0_638 ),
    inference(trivial_inequality_removal,[],[f90449]) ).

thf(f90462,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_420
    | ~ spl0_638 ),
    inference(forward_subsumption_resolution,[],[f90455,f56677]) ).

thf(f90463,plain,
    ( ~ spl0_393
    | ~ spl0_381
    | ~ spl0_364
    | ~ spl0_638 ),
    inference(avatar_split_clause,[],[f90459,f89028,f27634,f27981,f28663]) ).

thf(f90464,plain,
    ( ~ spl0_95
    | ~ spl0_110
    | spl0_420
    | ~ spl0_638 ),
    inference(avatar_split_clause,[],[f90462,f89028,f31355,f3663,f3370]) ).

thf(f90546,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_585 ),
    inference(constrained_superposition,[],[f61439,f59]) ).

thf(f90559,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_585 ),
    inference(trivial_inequality_removal,[],[f90546]) ).

thf(f90560,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_383
    | ~ spl0_585 ),
    inference(forward_subsumption_resolution,[],[f90559,f28305]) ).

thf(f90561,plain,
    ( ~ spl0_95
    | ~ spl0_62
    | spl0_383
    | ~ spl0_585 ),
    inference(avatar_split_clause,[],[f90560,f61438,f27996,f1025,f3370]) ).

thf(f90597,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_502 ),
    inference(constrained_superposition,[],[f41392,f60]) ).

thf(f90606,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_502 ),
    inference(trivial_inequality_removal,[],[f90597]) ).

thf(f90607,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_195
    | ~ spl0_502 ),
    inference(forward_subsumption_resolution,[],[f90606,f28299]) ).

thf(f90608,plain,
    ( ~ spl0_62
    | ~ spl0_313
    | spl0_195
    | ~ spl0_502 ),
    inference(avatar_split_clause,[],[f90607,f41391,f9369,f24153,f1025]) ).

thf(f90658,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(constrained_superposition,[],[f89455,f24129]) ).

thf(f90659,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(trivial_inequality_removal,[],[f90658]) ).

thf(f90687,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_199 ),
    inference(constrained_superposition,[],[f9388,f35]) ).

thf(f90693,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ X0 @ z ) )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_199 ),
    inference(trivial_inequality_removal,[],[f90687]) ).

thf(f90823,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_560 ),
    inference(constrained_superposition,[],[f51516,f60]) ).

thf(f90826,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_560 ),
    inference(trivial_inequality_removal,[],[f90823]) ).

thf(f90835,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f89119,f36]) ).

thf(f90841,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_223 ),
    inference(constrained_superposition,[],[f89119,f349]) ).

thf(f90843,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f90841]) ).

thf(f90846,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_223 ),
    inference(duplicate_literal_removal,[],[f90835]) ).

thf(f90847,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_223 ),
    inference(trivial_inequality_removal,[],[f90846]) ).

thf(f90863,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f89961,f19551]) ).

thf(f90864,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f89961,f27963]) ).

thf(f90865,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f90863]) ).

thf(f90867,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f90864]) ).

thf(f90872,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f90867,f29197]) ).

thf(f90877,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f90872]) ).

thf(f90881,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(constrained_superposition,[],[f90865,f29197]) ).

thf(f90885,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(trivial_inequality_removal,[],[f90881]) ).

thf(f90911,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_600 ),
    inference(constrained_superposition,[],[f61937,f60]) ).

thf(f90918,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_600 ),
    inference(trivial_inequality_removal,[],[f90911]) ).

thf(f90922,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_195
    | ~ spl0_600 ),
    inference(forward_subsumption_resolution,[],[f90918,f28299]) ).

thf(f90924,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_4
    | spl0_195
    | ~ spl0_600 ),
    inference(forward_subsumption_resolution,[],[f90922,f238]) ).

thf(f90931,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_195
    | ~ spl0_600 ),
    inference(constrained_superposition,[],[f90924,f2996]) ).

thf(f90940,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_195
    | ~ spl0_600 ),
    inference(trivial_inequality_removal,[],[f90931]) ).

thf(f90969,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f88697,f2996]) ).

thf(f90970,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_323 ),
    inference(constrained_superposition,[],[f88697,f349]) ).

thf(f90975,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f90969]) ).

thf(f90979,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ X0 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_323 ),
    inference(trivial_inequality_removal,[],[f90970]) ).

thf(f90982,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_323
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f90975,f56677]) ).

thf(f90983,plain,
    ( spl0_156
    | ~ spl0_323
    | spl0_420 ),
    inference(avatar_split_clause,[],[f90982,f31355,f24554,f5502]) ).

thf(f90984,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_341 ),
    inference(forward_subsumption_resolution,[],[f90216,f238]) ).

thf(f90986,plain,
    ( spl0_379
    | spl0_324
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f90157,f27634,f24589,f27973]) ).

thf(f90987,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_596 ),
    inference(avatar_split_clause,[],[f90303,f61844,f35753,f31348]) ).

thf(f90988,plain,
    ( spl0_42
    | spl0_418
    | ~ spl0_323 ),
    inference(avatar_split_clause,[],[f90979,f24554,f31348,f693]) ).

thf(f90989,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_560 ),
    inference(forward_subsumption_resolution,[],[f90826,f238]) ).

thf(f90990,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_4
    | spl0_195
    | spl0_310
    | ~ spl0_600 ),
    inference(forward_subsumption_resolution,[],[f90940,f34435]) ).

thf(f90991,plain,
    ( spl0_47
    | ~ spl0_20
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(avatar_split_clause,[],[f90659,f27743,f24128,f387,f742]) ).

thf(f90992,plain,
    ( spl0_418
    | spl0_505
    | ~ spl0_393
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f90151,f27634,f28663,f41415,f31348]) ).

thf(f90993,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_4
    | ~ spl0_341 ),
    inference(avatar_split_clause,[],[f90984,f25101,f97,f9396,f1025]) ).

thf(f90994,plain,
    ( spl0_200
    | spl0_602
    | ~ spl0_4
    | ~ spl0_560 ),
    inference(avatar_split_clause,[],[f90989,f51515,f97,f68337,f9396]) ).

thf(f90995,plain,
    ( ~ spl0_104
    | ~ spl0_145
    | ~ spl0_4
    | spl0_195
    | spl0_310
    | ~ spl0_600 ),
    inference(avatar_split_clause,[],[f90990,f61936,f24143,f9369,f97,f4569,f3594]) ).

thf(f90996,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(constrained_superposition,[],[f89917,f388]) ).

thf(f91002,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ X0 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(trivial_inequality_removal,[],[f90996]) ).

thf(f91057,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f91002,f24129]) ).

thf(f91059,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f91057]) ).

thf(f91062,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f91059,f27744]) ).

thf(f91063,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(forward_subsumption_resolution,[],[f91062,f39259]) ).

thf(f91064,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(avatar_contradiction_clause,[],[f91063]) ).

thf(f91066,plain,
    ( spl0_306
    | spl0_511
    | ~ spl0_364 ),
    inference(avatar_split_clause,[],[f90152,f27634,f42361,f24128]) ).

thf(f91121,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_602 ),
    inference(constrained_superposition,[],[f68338,f349]) ).

thf(f91130,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_602 ),
    inference(trivial_inequality_removal,[],[f91121]) ).

thf(f91196,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_611 ),
    inference(constrained_superposition,[],[f71193,f348]) ).

thf(f91210,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_611 ),
    inference(trivial_inequality_removal,[],[f91196]) ).

thf(f91212,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_306
    | ~ spl0_611 ),
    inference(forward_subsumption_resolution,[],[f91210,f25485]) ).

thf(f91215,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(forward_subsumption_resolution,[],[f90877,f398]) ).

thf(f91216,plain,
    ( spl0_31
    | spl0_34
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f90277,f397,f507,f458]) ).

thf(f91217,plain,
    ( ~ spl0_90
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f90885,f28658,f19550,f9353,f521,f3351]) ).

thf(f91218,plain,
    ( ~ spl0_31
    | ~ spl0_163
    | spl0_306
    | ~ spl0_611 ),
    inference(avatar_split_clause,[],[f91212,f71192,f24128,f5933,f458]) ).

thf(f91220,plain,
    ( ~ spl0_37
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(avatar_split_clause,[],[f91215,f28658,f27962,f9353,f397,f521]) ).

thf(f91222,plain,
    ( spl0_315
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_602 ),
    inference(avatar_split_clause,[],[f91130,f68337,f490,f458,f24160]) ).

thf(f91223,plain,
    ( spl0_192
    | spl0_11
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f90847,f11805,f166,f9353]) ).

thf(f91224,plain,
    ( spl0_206
    | spl0_217
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f90693,f9387,f11266,f9426]) ).

thf(f91226,plain,
    ( spl0_42
    | spl0_392
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f90843,f11805,f28658,f693]) ).

thf(f91229,plain,
    ( ~ spl0_32
    | spl0_392
    | ~ spl0_110
    | ~ spl0_637 ),
    inference(avatar_split_clause,[],[f90421,f88617,f3663,f28658,f490]) ).

thf(f91243,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) )
        | ( $true != $true ) )
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(constrained_superposition,[],[f89917,f33771]) ).

thf(f91247,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ X0 )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
         != ( r @ X0 @ z ) ) )
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(trivial_inequality_removal,[],[f91243]) ).

thf(f91250,plain,
    ( spl0_34
    | ~ spl0_23
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f91247,f521,f397,f507]) ).

thf(f91272,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_443 ),
    inference(constrained_superposition,[],[f33722,f32]) ).

thf(f91275,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_443 ),
    inference(trivial_inequality_removal,[],[f91272]) ).

thf(f91277,plain,
    ( spl0_200
    | spl0_243
    | spl0_443 ),
    inference(avatar_split_clause,[],[f91275,f33721,f13446,f9396]) ).

thf(f91286,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | spl0_313 ),
    inference(constrained_superposition,[],[f24154,f32]) ).

thf(f91289,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_313 ),
    inference(trivial_inequality_removal,[],[f91286]) ).

thf(f91291,plain,
    ( spl0_370
    | spl0_243
    | spl0_313 ),
    inference(avatar_split_clause,[],[f91289,f24153,f13446,f27739]) ).

thf(f91307,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_429 ),
    inference(constrained_superposition,[],[f32343,f32]) ).

thf(f91308,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_429 ),
    inference(trivial_inequality_removal,[],[f91307]) ).

thf(f91312,plain,
    ( spl0_315
    | spl0_247
    | spl0_429 ),
    inference(avatar_split_clause,[],[f91308,f32342,f14155,f24160]) ).

thf(f91318,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_305 ),
    inference(constrained_superposition,[],[f24126,f32]) ).

thf(f91321,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_305 ),
    inference(trivial_inequality_removal,[],[f91318]) ).

thf(f91325,plain,
    ( spl0_309
    | spl0_247
    | spl0_305 ),
    inference(avatar_split_clause,[],[f91321,f24125,f14155,f24139]) ).

thf(f91437,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ~ spl0_34
    | ~ spl0_306 ),
    inference(constrained_superposition,[],[f508,f24129]) ).

thf(f91441,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_306 ),
    inference(trivial_inequality_removal,[],[f91437]) ).

thf(f91443,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_34
    | ~ spl0_306
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f91441,f39259]) ).

thf(f91444,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_306
    | ~ spl0_348
    | ~ spl0_360 ),
    inference(forward_subsumption_resolution,[],[f91443,f25492]) ).

thf(f91445,plain,
    ( ~ spl0_34
    | ~ spl0_306
    | ~ spl0_348
    | ~ spl0_360 ),
    inference(avatar_contradiction_clause,[],[f91444]) ).

thf(f91450,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_8
    | spl0_31 ),
    inference(constrained_superposition,[],[f534,f137]) ).

thf(f91455,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_8
    | spl0_31 ),
    inference(trivial_inequality_removal,[],[f91450]) ).

thf(f91460,plain,
    ( $false
    | ~ spl0_8
    | spl0_23
    | spl0_31 ),
    inference(forward_subsumption_resolution,[],[f91455,f2236]) ).

thf(f91461,plain,
    ( ~ spl0_8
    | spl0_23
    | spl0_31 ),
    inference(avatar_contradiction_clause,[],[f91460]) ).

thf(f91520,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f31,f23358]) ).

thf(f91523,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f91520]) ).

thf(f91785,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_58 ),
    inference(constrained_superposition,[],[f870,f36]) ).

thf(f91794,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_58 ),
    inference(constrained_superposition,[],[f870,f60]) ).

thf(f91796,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_58 ),
    inference(trivial_inequality_removal,[],[f91785]) ).

thf(f91799,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_58 ),
    inference(trivial_inequality_removal,[],[f91794]) ).

thf(f91806,plain,
    ( spl0_43
    | ~ spl0_63
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f91796,f869,f1029,f696]) ).

thf(f91807,plain,
    ( spl0_44
    | ~ spl0_62
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f91799,f869,f1025,f700]) ).

thf(f92090,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(constrained_superposition,[],[f91523,f60]) ).

thf(f92091,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_304 ),
    inference(trivial_inequality_removal,[],[f92090]) ).

thf(f92100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_304
    | spl0_346 ),
    inference(forward_subsumption_resolution,[],[f92091,f25484]) ).

thf(f92109,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_304
    | spl0_346 ),
    inference(constrained_superposition,[],[f92100,f2996]) ).

thf(f92110,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | spl0_346 ),
    inference(constrained_superposition,[],[f92100,f349]) ).

thf(f92112,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_304
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f92109]) ).

thf(f92115,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_304
    | spl0_346 ),
    inference(trivial_inequality_removal,[],[f92110]) ).

thf(f92122,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_304
    | spl0_346
    | spl0_420 ),
    inference(forward_subsumption_resolution,[],[f92112,f56677]) ).

thf(f92123,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_304
    | spl0_346
    | spl0_418 ),
    inference(forward_subsumption_resolution,[],[f92115,f42726]) ).

thf(f92124,plain,
    ( spl0_581
    | ~ spl0_95
    | ~ spl0_304
    | spl0_346
    | spl0_420 ),
    inference(avatar_split_clause,[],[f92122,f31355,f25483,f23357,f3370,f61231]) ).

thf(f92125,plain,
    ( ~ spl0_32
    | spl0_603
    | ~ spl0_304
    | spl0_346
    | spl0_418 ),
    inference(avatar_split_clause,[],[f92123,f31348,f25483,f23357,f70147,f490]) ).

thf(f92192,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f89565,f27963]) ).

thf(f92197,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f92192]) ).

thf(f92218,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_428 ),
    inference(constrained_superposition,[],[f31928,f32]) ).

thf(f92220,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_428 ),
    inference(trivial_inequality_removal,[],[f92218]) ).

thf(f92222,plain,
    ( spl0_351
    | spl0_346
    | spl0_428 ),
    inference(avatar_split_clause,[],[f92220,f31927,f25483,f25587]) ).

thf(f92234,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | spl0_308 ),
    inference(constrained_superposition,[],[f24137,f32]) ).

thf(f92235,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = ( s @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_308 ),
    inference(trivial_inequality_removal,[],[f92234]) ).

thf(f92238,plain,
    ( spl0_351
    | spl0_371
    | spl0_308 ),
    inference(avatar_split_clause,[],[f92235,f24136,f27743,f25587]) ).

thf(f92342,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_301 ),
    inference(constrained_superposition,[],[f33637,f37]) ).

thf(f92346,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_301 ),
    inference(trivial_inequality_removal,[],[f92342]) ).

thf(f92350,plain,
    ( spl0_302
    | spl0_194
    | spl0_301 ),
    inference(avatar_split_clause,[],[f92346,f23347,f9360,f23350]) ).

thf(f92353,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_304 ),
    inference(constrained_superposition,[],[f42344,f61]) ).

thf(f92354,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_304 ),
    inference(constrained_superposition,[],[f42344,f37]) ).

thf(f92356,plain,
    ( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_304 ),
    inference(trivial_inequality_removal,[],[f92354]) ).

thf(f92357,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_304 ),
    inference(trivial_inequality_removal,[],[f92353]) ).

thf(f92360,plain,
    ( spl0_194
    | spl0_303
    | spl0_304 ),
    inference(avatar_split_clause,[],[f92356,f23357,f23354,f9360]) ).

thf(f92361,plain,
    ( spl0_247
    | spl0_303
    | spl0_304 ),
    inference(avatar_split_clause,[],[f92357,f23357,f23354,f14155]) ).

thf(f92702,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(constrained_superposition,[],[f92197,f29197]) ).

thf(f92706,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(trivial_inequality_removal,[],[f92702]) ).

thf(f92707,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f92706,f9405]) ).

thf(f92708,plain,
    ( $false
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(forward_subsumption_resolution,[],[f92707,f398]) ).

thf(f92709,plain,
    ( ~ spl0_23
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(avatar_contradiction_clause,[],[f92708]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f81]) ).

cnf(s4,plain,
    ( spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f129]) ).

cnf(s6,plain,
    ( ~ spl0_6
    | spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f179]) ).

cnf(s9,plain,
    ( ~ spl0_8
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f203]) ).

cnf(s10,plain,
    ( spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s11,plain,
    ( spl0_10
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s15,plain,
    ( spl0_1
    | spl0_19 ),
    inference(sat_conversion,[],[f285]) ).

cnf(s17,plain,
    ( spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s18,plain,
    ( spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s19,plain,
    ( spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s22,plain,
    ( spl0_23
    | spl0_28 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s24,plain,
    ( ~ spl0_9
    | ~ spl0_23
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s25,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | spl0_30 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s31,plain,
    ( spl0_20
    | spl0_32 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s32,plain,
    ( spl0_20
    | spl0_32
    | spl0_36 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s37,plain,
    ( spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s41,plain,
    ( ~ spl0_26
    | spl0_33 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s44,plain,
    ( spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s46,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | ~ spl0_44
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s47,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s51,plain,
    ( ~ spl0_13
    | ~ spl0_33
    | ~ spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s53,plain,
    ( spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s55,plain,
    ( ~ spl0_32
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s62,plain,
    ( spl0_44
    | ~ spl0_58
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s65,plain,
    ( spl0_24
    | spl0_62 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s67,plain,
    ( spl0_23
    | spl0_63 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s72,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_43
    | spl0_65 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s75,plain,
    ( ~ spl0_24
    | ~ spl0_43
    | spl0_47
    | ~ spl0_49
    | spl0_65 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s76,plain,
    ( spl0_11
    | ~ spl0_65
    | spl0_66 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s77,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_47
    | ~ spl0_51
    | spl0_55 ),
    inference(sat_conversion,[],[f1311]) ).

cnf(s79,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_51
    | spl0_67 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s83,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s92,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | spl0_48
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s93,plain,
    ( spl0_11
    | ~ spl0_24
    | spl0_31
    | ~ spl0_48
    | spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s94,plain,
    ( ~ spl0_24
    | ~ spl0_48
    | ~ spl0_67
    | spl0_72 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s112,plain,
    ( spl0_83
    | spl0_84 ),
    inference(sat_conversion,[],[f3332]) ).

cnf(s113,plain,
    ( spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f3339]) ).

cnf(s114,plain,
    ( spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f3346]) ).

cnf(s131,plain,
    ( spl0_99
    | spl0_100 ),
    inference(sat_conversion,[],[f3442]) ).

cnf(s138,plain,
    ( spl0_31
    | ~ spl0_55
    | spl0_87
    | ~ spl0_100
    | spl0_103 ),
    inference(sat_conversion,[],[f3492]) ).

cnf(s139,plain,
    ( ~ spl0_41
    | ~ spl0_51
    | ~ spl0_55
    | spl0_86
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3493]) ).

cnf(s140,plain,
    ( ~ spl0_35
    | ~ spl0_51
    | ~ spl0_55
    | spl0_86
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f3517]) ).

cnf(s141,plain,
    ( spl0_94
    | spl0_95
    | spl0_101 ),
    inference(sat_conversion,[],[f3525]) ).

cnf(s142,plain,
    ( spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f3527]) ).

cnf(s144,plain,
    ( ~ spl0_35
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f3551]) ).

cnf(s145,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_83
    | spl0_99 ),
    inference(sat_conversion,[],[f3556]) ).

cnf(s151,plain,
    ( ~ spl0_16
    | spl0_87
    | spl0_90
    | ~ spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f3607]) ).

cnf(s158,plain,
    ( ~ spl0_1
    | ~ spl0_94
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3740]) ).

cnf(s159,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3856]) ).

cnf(s160,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_51
    | spl0_86
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3857]) ).

cnf(s161,plain,
    ( ~ spl0_34
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3860]) ).

cnf(s162,plain,
    ( ~ spl0_9
    | ~ spl0_87
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f3861]) ).

cnf(s163,plain,
    ( ~ spl0_51
    | spl0_86
    | ~ spl0_87
    | spl0_117 ),
    inference(sat_conversion,[],[f3910]) ).

cnf(s164,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | spl0_117 ),
    inference(sat_conversion,[],[f3911]) ).

cnf(s165,plain,
    ( ~ spl0_28
    | spl0_83
    | spl0_118 ),
    inference(sat_conversion,[],[f3915]) ).

cnf(s166,plain,
    ( spl0_83
    | spl0_102
    | spl0_110 ),
    inference(sat_conversion,[],[f3916]) ).

cnf(s171,plain,
    ( spl0_83
    | spl0_110 ),
    inference(sat_conversion,[],[f3928]) ).

cnf(s175,plain,
    ( ~ spl0_20
    | ~ spl0_86
    | ~ spl0_94
    | spl0_122 ),
    inference(sat_conversion,[],[f4017]) ).

cnf(s179,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_94
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f4229]) ).

cnf(s183,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67
    | spl0_78 ),
    inference(sat_conversion,[],[f4239]) ).

cnf(s186,plain,
    ( spl0_11
    | spl0_90
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f4247]) ).

cnf(s196,plain,
    ( ~ spl0_60
    | spl0_83
    | spl0_87
    | ~ spl0_99
    | spl0_102 ),
    inference(sat_conversion,[],[f4271]) ).

cnf(s202,plain,
    ( ~ spl0_20
    | ~ spl0_48
    | ~ spl0_67
    | spl0_132 ),
    inference(sat_conversion,[],[f4297]) ).

cnf(s203,plain,
    ( ~ spl0_25
    | ~ spl0_32
    | spl0_58 ),
    inference(sat_conversion,[],[f4299]) ).

cnf(s242,plain,
    ~ spl0_36,
    inference(sat_conversion,[],[f4562]) ).

cnf(s253,plain,
    ( spl0_31
    | ~ spl0_55
    | spl0_87
    | ~ spl0_90
    | spl0_103 ),
    inference(sat_conversion,[],[f4614]) ).

cnf(s254,plain,
    ( ~ spl0_13
    | spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f4622]) ).

cnf(s255,plain,
    ( ~ spl0_13
    | spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f4623]) ).

cnf(s257,plain,
    ( ~ spl0_24
    | ~ spl0_51
    | spl0_86
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f4628]) ).

cnf(s259,plain,
    ( ~ spl0_13
    | spl0_24
    | ~ spl0_67
    | spl0_149 ),
    inference(sat_conversion,[],[f4637]) ).

cnf(s261,plain,
    ( ~ spl0_13
    | spl0_24
    | ~ spl0_55
    | spl0_150 ),
    inference(sat_conversion,[],[f4645]) ).

cnf(s267,plain,
    ( ~ spl0_13
    | spl0_87
    | spl0_94 ),
    inference(sat_conversion,[],[f4675]) ).

cnf(s269,plain,
    ( ~ spl0_13
    | ~ spl0_24
    | spl0_47
    | ~ spl0_51
    | spl0_55 ),
    inference(sat_conversion,[],[f4681]) ).

cnf(s272,plain,
    ( spl0_90
    | spl0_104 ),
    inference(sat_conversion,[],[f4758]) ).

cnf(s274,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_87
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f4761]) ).

cnf(s275,plain,
    ( spl0_23
    | spl0_43
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f4865]) ).

cnf(s277,plain,
    ( spl0_31
    | ~ spl0_72
    | spl0_78 ),
    inference(sat_conversion,[],[f4935]) ).

cnf(s280,plain,
    ( ~ spl0_24
    | spl0_31
    | spl0_41 ),
    inference(sat_conversion,[],[f5122]) ).

cnf(s285,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f5181]) ).

cnf(s286,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_87
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f5273]) ).

cnf(s305,plain,
    ( spl0_87
    | spl0_145 ),
    inference(sat_conversion,[],[f5811]) ).

cnf(s307,plain,
    ( spl0_87
    | spl0_145 ),
    inference(sat_conversion,[],[f5816]) ).

cnf(s313,plain,
    ( ~ spl0_88
    | ~ spl0_95
    | spl0_165 ),
    inference(sat_conversion,[],[f5982]) ).

cnf(s317,plain,
    ( spl0_36
    | spl0_86
    | spl0_163 ),
    inference(sat_conversion,[],[f6014]) ).

cnf(s319,plain,
    ( spl0_86
    | spl0_163 ),
    inference(sat_conversion,[],[f6017]) ).

cnf(s321,plain,
    ( ~ spl0_38
    | ~ spl0_86
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f6045]) ).

cnf(s323,plain,
    ( ~ spl0_1
    | spl0_31
    | ~ spl0_90
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f6073]) ).

cnf(s324,plain,
    ( ~ spl0_85
    | ~ spl0_110
    | spl0_165 ),
    inference(sat_conversion,[],[f6097]) ).

cnf(s335,plain,
    ( ~ spl0_51
    | spl0_86
    | ~ spl0_90
    | spl0_171 ),
    inference(sat_conversion,[],[f6522]) ).

cnf(s342,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_58 ),
    inference(sat_conversion,[],[f6592]) ).

cnf(s351,plain,
    ( ~ spl0_4
    | ~ spl0_31
    | ~ spl0_62
    | spl0_86
    | spl0_87
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f6615]) ).

cnf(s363,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_90
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f6643]) ).

cnf(s366,plain,
    ( ~ spl0_4
    | spl0_23
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f6721]) ).

cnf(s367,plain,
    ( ~ spl0_17
    | ~ spl0_20
    | ~ spl0_23
    | spl0_31 ),
    inference(sat_conversion,[],[f6722]) ).

cnf(s369,plain,
    ( ~ spl0_20
    | spl0_47
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f6747]) ).

cnf(s370,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_47
    | ~ spl0_83
    | spl0_87 ),
    inference(sat_conversion,[],[f6749]) ).

cnf(s455,plain,
    ( ~ spl0_23
    | ~ spl0_33
    | spl0_38
    | spl0_49 ),
    inference(sat_conversion,[],[f8380]) ).

cnf(s458,plain,
    ( spl0_31
    | ~ spl0_33
    | spl0_38
    | spl0_49 ),
    inference(sat_conversion,[],[f8386]) ).

cnf(s459,plain,
    ( ~ spl0_1
    | ~ spl0_48
    | ~ spl0_66
    | spl0_132 ),
    inference(sat_conversion,[],[f8387]) ).

cnf(s464,plain,
    ( ~ spl0_20
    | ~ spl0_94
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f8434]) ).

cnf(s465,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_87
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f8436]) ).

cnf(s466,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f8504]) ).

cnf(s469,plain,
    ( ~ spl0_4
    | spl0_24
    | ~ spl0_42
    | spl0_60 ),
    inference(sat_conversion,[],[f8508]) ).

cnf(s512,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_87
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f9793]) ).

cnf(s513,plain,
    ( ~ spl0_87
    | spl0_191 ),
    inference(sat_conversion,[],[f9832]) ).

cnf(s514,plain,
    ( spl0_44
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f9930]) ).

cnf(s538,plain,
    ( ~ spl0_195
    | spl0_197 ),
    inference(sat_conversion,[],[f11367]) ).

cnf(s539,plain,
    ( ~ spl0_1
    | ~ spl0_195
    | spl0_203 ),
    inference(sat_conversion,[],[f11368]) ).

cnf(s605,plain,
    ( ~ spl0_201
    | spl0_239 ),
    inference(sat_conversion,[],[f13128]) ).

cnf(s665,plain,
    ~ spl0_243,
    inference(sat_conversion,[],[f13962]) ).

cnf(s681,plain,
    ( spl0_199
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f14024]) ).

cnf(s684,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_199
    | spl0_224 ),
    inference(sat_conversion,[],[f14158]) ).

cnf(s687,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_197
    | spl0_250 ),
    inference(sat_conversion,[],[f14280]) ).

cnf(s689,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | spl0_227 ),
    inference(sat_conversion,[],[f15024]) ).

cnf(s690,plain,
    ( ~ spl0_11
    | spl0_100
    | spl0_227 ),
    inference(sat_conversion,[],[f15152]) ).

cnf(s694,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_61
    | spl0_251 ),
    inference(sat_conversion,[],[f15354]) ).

cnf(s814,plain,
    ~ spl0_247,
    inference(sat_conversion,[],[f20235]) ).

cnf(s914,plain,
    ~ spl0_249,
    inference(sat_conversion,[],[f20945]) ).

cnf(s943,plain,
    ( ~ spl0_199
    | ~ spl0_273
    | spl0_275 ),
    inference(sat_conversion,[],[f21041]) ).

cnf(s946,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_122
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f21048]) ).

cnf(s950,plain,
    ( ~ spl0_197
    | ~ spl0_274
    | spl0_276 ),
    inference(sat_conversion,[],[f21124]) ).

cnf(s952,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_122
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f21128]) ).

cnf(s1107,plain,
    ( spl0_101
    | spl0_301
    | spl0_302 ),
    inference(sat_conversion,[],[f23352]) ).

cnf(s1108,plain,
    ( spl0_101
    | spl0_303
    | spl0_304 ),
    inference(sat_conversion,[],[f23359]) ).

cnf(s1178,plain,
    ~ spl0_101,
    inference(sat_conversion,[],[f24007]) ).

cnf(s1200,plain,
    ( ~ spl0_21
    | ~ spl0_301
    | spl0_307
    | ~ spl0_308
    | spl0_309 ),
    inference(sat_conversion,[],[f24141]) ).

cnf(s1202,plain,
    ( ~ spl0_25
    | ~ spl0_301
    | spl0_306
    | ~ spl0_313
    | spl0_314 ),
    inference(sat_conversion,[],[f24158]) ).

cnf(s1204,plain,
    ( ~ spl0_28
    | ~ spl0_206
    | ~ spl0_301
    | spl0_306
    | spl0_314 ),
    inference(sat_conversion,[],[f24167]) ).

cnf(s1208,plain,
    ( spl0_305
    | spl0_309 ),
    inference(sat_conversion,[],[f24203]) ).

cnf(s1209,plain,
    ( spl0_247
    | spl0_305
    | spl0_309 ),
    inference(sat_conversion,[],[f24205]) ).

cnf(s1212,plain,
    ( ~ spl0_47
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f24305]) ).

cnf(s1226,plain,
    ( ~ spl0_83
    | ~ spl0_309
    | ~ spl0_310
    | spl0_320 ),
    inference(sat_conversion,[],[f24454]) ).

cnf(s1239,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_225
    | spl0_249
    | ~ spl0_306 ),
    inference(sat_conversion,[],[f24551]) ).

cnf(s1241,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_306
    | spl0_323 ),
    inference(sat_conversion,[],[f24556]) ).

cnf(s1243,plain,
    ( spl0_249
    | spl0_312
    | spl0_324 ),
    inference(sat_conversion,[],[f24591]) ).

cnf(s1244,plain,
    ( spl0_243
    | spl0_312
    | spl0_324 ),
    inference(sat_conversion,[],[f24593]) ).

cnf(s1257,plain,
    ( ~ spl0_205
    | ~ spl0_302
    | spl0_319 ),
    inference(sat_conversion,[],[f24762]) ).

cnf(s1299,plain,
    ( ~ spl0_118
    | ~ spl0_206
    | spl0_310
    | spl0_339 ),
    inference(sat_conversion,[],[f25091]) ).

cnf(s1306,plain,
    ( ~ spl0_22
    | ~ spl0_206
    | spl0_309
    | spl0_340 ),
    inference(sat_conversion,[],[f25105]) ).

cnf(s1308,plain,
    ( ~ spl0_193
    | spl0_242 ),
    inference(sat_conversion,[],[f25130]) ).

cnf(s1314,plain,
    ( ~ spl0_22
    | spl0_306
    | ~ spl0_323
    | spl0_342 ),
    inference(sat_conversion,[],[f25233]) ).

cnf(s1330,plain,
    ( ~ spl0_44
    | ~ spl0_83
    | spl0_184
    | spl0_200
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f25313]) ).

cnf(s1332,plain,
    ( ~ spl0_23
    | spl0_38
    | ~ spl0_44
    | spl0_200
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f25315]) ).

cnf(s1342,plain,
    ( ~ spl0_117
    | ~ spl0_306
    | ~ spl0_324
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f25486]) ).

cnf(s1345,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_191
    | ~ spl0_324
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f25498]) ).

cnf(s1353,plain,
    ( ~ spl0_44
    | spl0_306
    | spl0_346 ),
    inference(sat_conversion,[],[f25590]) ).

cnf(s1429,plain,
    ~ spl0_351,
    inference(sat_conversion,[],[f26159]) ).

cnf(s1499,plain,
    ~ spl0_350,
    inference(sat_conversion,[],[f26674]) ).

cnf(s1530,plain,
    ( ~ spl0_23
    | spl0_38
    | ~ spl0_44
    | spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f26827]) ).

cnf(s1607,plain,
    ~ spl0_248,
    inference(sat_conversion,[],[f27401]) ).

cnf(s1637,plain,
    ( ~ spl0_61
    | spl0_248
    | spl0_306
    | spl0_346 ),
    inference(sat_conversion,[],[f27440]) ).

cnf(s1638,plain,
    ( ~ spl0_217
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f27531]) ).

cnf(s1639,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_224
    | ~ spl0_302
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f27533]) ).

cnf(s1643,plain,
    ( ~ spl0_48
    | spl0_206
    | ~ spl0_302
    | spl0_327
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f27538]) ).

cnf(s1647,plain,
    ( ~ spl0_61
    | spl0_200
    | spl0_243
    | spl0_247
    | spl0_309 ),
    inference(sat_conversion,[],[f27548]) ).

cnf(s1649,plain,
    ( ~ spl0_44
    | spl0_200
    | spl0_309 ),
    inference(sat_conversion,[],[f27558]) ).

cnf(s1651,plain,
    ( ~ spl0_61
    | spl0_200
    | spl0_309 ),
    inference(sat_conversion,[],[f27562]) ).

cnf(s1653,plain,
    ( spl0_201
    | spl0_206 ),
    inference(sat_conversion,[],[f27564]) ).

cnf(s1659,plain,
    ( ~ spl0_24
    | ~ spl0_83
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f27581]) ).

cnf(s1660,plain,
    ( spl0_24
    | ~ spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f27585]) ).

cnf(s1664,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_87
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f27599]) ).

cnf(s1673,plain,
    ( spl0_102
    | spl0_361
    | spl0_362 ),
    inference(sat_conversion,[],[f27629]) ).

cnf(s1674,plain,
    ( spl0_102
    | spl0_363
    | spl0_364 ),
    inference(sat_conversion,[],[f27636]) ).

cnf(s1675,plain,
    ( spl0_102
    | spl0_365
    | spl0_366 ),
    inference(sat_conversion,[],[f27644]) ).

cnf(s1676,plain,
    ( spl0_102
    | spl0_367
    | spl0_368 ),
    inference(sat_conversion,[],[f27652]) ).

cnf(s1679,plain,
    ( ~ spl0_24
    | spl0_279 ),
    inference(sat_conversion,[],[f27672]) ).

cnf(s1683,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f27726]) ).

cnf(s1684,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_200
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f27727]) ).

cnf(s1686,plain,
    ( spl0_243
    | spl0_313
    | spl0_370 ),
    inference(sat_conversion,[],[f27741]) ).

cnf(s1687,plain,
    ( spl0_308
    | spl0_351
    | spl0_371 ),
    inference(sat_conversion,[],[f27745]) ).

cnf(s1688,plain,
    ( spl0_313
    | spl0_370 ),
    inference(sat_conversion,[],[f27746]) ).

cnf(s1690,plain,
    ( spl0_308
    | spl0_371 ),
    inference(sat_conversion,[],[f27748]) ).

cnf(s1709,plain,
    ( ~ spl0_251
    | spl0_323
    | spl0_346 ),
    inference(sat_conversion,[],[f27867]) ).

cnf(s1716,plain,
    ( ~ spl0_25
    | ~ spl0_313
    | ~ spl0_365
    | spl0_376
    | spl0_377 ),
    inference(sat_conversion,[],[f27964]) ).

cnf(s1723,plain,
    ( spl0_248
    | spl0_381
    | spl0_383 ),
    inference(sat_conversion,[],[f27998]) ).

cnf(s1724,plain,
    ( spl0_381
    | spl0_383 ),
    inference(sat_conversion,[],[f27999]) ).

cnf(s1726,plain,
    ( ~ spl0_197
    | spl0_335
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f28037]) ).

cnf(s1727,plain,
    ( spl0_31
    | spl0_38
    | spl0_223
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f28038]) ).

cnf(s1729,plain,
    ( spl0_247
    | spl0_274
    | spl0_372 ),
    inference(sat_conversion,[],[f28076]) ).

cnf(s1731,plain,
    ( spl0_274
    | spl0_372 ),
    inference(sat_conversion,[],[f28079]) ).

cnf(s1733,plain,
    ( spl0_101
    | spl0_274
    | spl0_372 ),
    inference(sat_conversion,[],[f28081]) ).

cnf(s1737,plain,
    ( ~ spl0_193
    | ~ spl0_197
    | spl0_219 ),
    inference(sat_conversion,[],[f28178]) ).

cnf(s1742,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_366
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f28202]) ).

cnf(s1743,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_200
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f28203]) ).

cnf(s1745,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | spl0_122
    | spl0_193
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f28206]) ).

cnf(s1760,plain,
    ( ~ spl0_13
    | spl0_195
    | ~ spl0_366
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f28290]) ).

cnf(s1765,plain,
    ( ~ spl0_13
    | ~ spl0_94
    | spl0_122
    | spl0_195
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f28304]) ).

cnf(s1766,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_195
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f28306]) ).

cnf(s1776,plain,
    ~ spl0_194,
    inference(sat_conversion,[],[f28555]) ).

cnf(s1786,plain,
    ( ~ spl0_13
    | spl0_195
    | spl0_383 ),
    inference(sat_conversion,[],[f28582]) ).

cnf(s1792,plain,
    ( ~ spl0_25
    | spl0_309
    | ~ spl0_367
    | spl0_376
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f28685]) ).

cnf(s1794,plain,
    ( ~ spl0_28
    | ~ spl0_223
    | spl0_309
    | ~ spl0_367
    | spl0_376 ),
    inference(sat_conversion,[],[f28688]) ).

cnf(s1796,plain,
    ( spl0_377
    | spl0_393 ),
    inference(sat_conversion,[],[f28706]) ).

cnf(s1798,plain,
    ( spl0_377
    | spl0_393 ),
    inference(sat_conversion,[],[f28712]) ).

cnf(s1799,plain,
    ( spl0_243
    | spl0_377
    | spl0_393 ),
    inference(sat_conversion,[],[f28713]) ).

cnf(s1827,plain,
    ~ spl0_102,
    inference(sat_conversion,[],[f28997]) ).

cnf(s1828,plain,
    ( spl0_102
    | spl0_361
    | spl0_362 ),
    inference(sat_conversion,[],[f29009]) ).

cnf(s1829,plain,
    ( spl0_102
    | spl0_367
    | spl0_368 ),
    inference(sat_conversion,[],[f29010]) ).

cnf(s1830,plain,
    ( spl0_102
    | spl0_363
    | spl0_364 ),
    inference(sat_conversion,[],[f29011]) ).

cnf(s1831,plain,
    ( ~ spl0_1
    | ~ spl0_383
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f29101]) ).

cnf(s1832,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_195
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f29104]) ).

cnf(s1835,plain,
    ( spl0_193
    | spl0_223 ),
    inference(sat_conversion,[],[f29112]) ).

cnf(s1836,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | spl0_195
    | spl0_248 ),
    inference(sat_conversion,[],[f29113]) ).

cnf(s1837,plain,
    ( spl0_10
    | ~ spl0_11
    | spl0_193
    | spl0_195 ),
    inference(sat_conversion,[],[f29115]) ).

cnf(s1838,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_94
    | spl0_193
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f29116]) ).

cnf(s1839,plain,
    ( ~ spl0_83
    | ~ spl0_377
    | ~ spl0_395
    | spl0_401 ),
    inference(sat_conversion,[],[f29120]) ).

cnf(s1840,plain,
    ( ~ spl0_192
    | ~ spl0_198
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f29122]) ).

cnf(s1841,plain,
    ( spl0_102
    | spl0_365
    | spl0_366 ),
    inference(sat_conversion,[],[f29123]) ).

cnf(s1850,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | spl0_101
    | ~ spl0_223
    | spl0_274 ),
    inference(sat_conversion,[],[f29194]) ).

cnf(s1860,plain,
    ( ~ spl0_22
    | ~ spl0_206
    | spl0_309
    | spl0_340 ),
    inference(sat_conversion,[],[f29257]) ).

cnf(s1870,plain,
    ( spl0_192
    | spl0_388 ),
    inference(sat_conversion,[],[f29276]) ).

cnf(s1872,plain,
    ( ~ spl0_1
    | ~ spl0_319
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f29312]) ).

cnf(s1892,plain,
    ~ spl0_202,
    inference(sat_conversion,[],[f29590]) ).

cnf(s1899,plain,
    ( ~ spl0_16
    | spl0_196
    | spl0_200
    | ~ spl0_206
    | spl0_243 ),
    inference(sat_conversion,[],[f29603]) ).

cnf(s1903,plain,
    ( ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_196
    | spl0_201
    | spl0_243 ),
    inference(sat_conversion,[],[f29627]) ).

cnf(s1905,plain,
    ( spl0_196
    | spl0_345 ),
    inference(sat_conversion,[],[f29647]) ).

cnf(s1910,plain,
    ( ~ spl0_9
    | ~ spl0_192
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f29697]) ).

cnf(s1920,plain,
    ( ~ spl0_117
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f29768]) ).

cnf(s1922,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_30 ),
    inference(sat_conversion,[],[f29780]) ).

cnf(s1924,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f29787]) ).

cnf(s1926,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_346
    | spl0_348
    | spl0_351 ),
    inference(sat_conversion,[],[f29794]) ).

cnf(s1928,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | ~ spl0_193
    | spl0_195 ),
    inference(sat_conversion,[],[f29795]) ).

cnf(s1929,plain,
    ( spl0_10
    | ~ spl0_11
    | spl0_346
    | spl0_348 ),
    inference(sat_conversion,[],[f29796]) ).

cnf(s1946,plain,
    ( ~ spl0_100
    | spl0_222 ),
    inference(sat_conversion,[],[f29864]) ).

cnf(s1947,plain,
    ( ~ spl0_100
    | ~ spl0_191
    | spl0_221 ),
    inference(sat_conversion,[],[f29866]) ).

cnf(s1948,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_94
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f29867]) ).

cnf(s1951,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_99
    | spl0_225 ),
    inference(sat_conversion,[],[f29875]) ).

cnf(s1953,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_94
    | ~ spl0_99
    | spl0_101 ),
    inference(sat_conversion,[],[f29878]) ).

cnf(s1954,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | ~ spl0_99
    | spl0_122
    | spl0_337 ),
    inference(sat_conversion,[],[f29879]) ).

cnf(s1959,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | spl0_202
    | ~ spl0_206
    | spl0_273 ),
    inference(sat_conversion,[],[f29965]) ).

cnf(s1972,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | spl0_243
    | ~ spl0_323
    | spl0_324 ),
    inference(sat_conversion,[],[f30067]) ).

cnf(s1979,plain,
    ( ~ spl0_13
    | ~ spl0_94
    | spl0_122
    | spl0_200
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f30092]) ).

cnf(s1982,plain,
    ( ~ spl0_13
    | spl0_200
    | spl0_370 ),
    inference(sat_conversion,[],[f30118]) ).

cnf(s1985,plain,
    ( ~ spl0_87
    | ~ spl0_273
    | ~ spl0_387 ),
    inference(sat_conversion,[],[f30254]) ).

cnf(s1989,plain,
    ( ~ spl0_21
    | spl0_309
    | ~ spl0_365
    | ~ spl0_381
    | spl0_382 ),
    inference(sat_conversion,[],[f30303]) ).

cnf(s1994,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_94
    | spl0_122
    | ~ spl0_324
    | spl0_348 ),
    inference(sat_conversion,[],[f30370]) ).

cnf(s1995,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f30373]) ).

cnf(s1996,plain,
    ( spl0_31
    | ~ spl0_201
    | ~ spl0_320 ),
    inference(sat_conversion,[],[f30439]) ).

cnf(s1997,plain,
    ( spl0_31
    | spl0_206
    | ~ spl0_320 ),
    inference(sat_conversion,[],[f30442]) ).

cnf(s1998,plain,
    ( ~ spl0_41
    | ~ spl0_193
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f30481]) ).

cnf(s2002,plain,
    ( ~ spl0_23
    | ~ spl0_309
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f30511]) ).

cnf(s2004,plain,
    ( ~ spl0_11
    | spl0_100
    | spl0_102
    | spl0_201
    | spl0_310 ),
    inference(sat_conversion,[],[f30515]) ).

cnf(s2011,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_24
    | spl0_31 ),
    inference(sat_conversion,[],[f30529]) ).

cnf(s2012,plain,
    ( spl0_31
    | spl0_38
    | spl0_206
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f30530]) ).

cnf(s2024,plain,
    ( spl0_273
    | spl0_396 ),
    inference(sat_conversion,[],[f30715]) ).

cnf(s2026,plain,
    ( spl0_36
    | spl0_273
    | spl0_396 ),
    inference(sat_conversion,[],[f30719]) ).

cnf(s2028,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_200
    | spl0_201
    | spl0_243 ),
    inference(sat_conversion,[],[f30721]) ).

cnf(s2029,plain,
    ( spl0_10
    | ~ spl0_11
    | spl0_200
    | spl0_201 ),
    inference(sat_conversion,[],[f30722]) ).

cnf(s2031,plain,
    ( ~ spl0_11
    | spl0_100
    | spl0_102
    | spl0_201
    | spl0_273 ),
    inference(sat_conversion,[],[f30724]) ).

cnf(s2032,plain,
    ( spl0_102
    | spl0_273
    | spl0_396 ),
    inference(sat_conversion,[],[f30725]) ).

cnf(s2036,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_200
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f30774]) ).

cnf(s2039,plain,
    ( ~ spl0_191
    | spl0_275
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f30908]) ).

cnf(s2041,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_310
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f30912]) ).

cnf(s2044,plain,
    ( ~ spl0_41
    | ~ spl0_225
    | spl0_249
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f30942]) ).

cnf(s2045,plain,
    ( ~ spl0_41
    | ~ spl0_306
    | spl0_323
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f30944]) ).

cnf(s2046,plain,
    ( ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f30946]) ).

cnf(s2052,plain,
    ( ~ spl0_24
    | ~ spl0_309
    | ~ spl0_387 ),
    inference(sat_conversion,[],[f31061]) ).

cnf(s2054,plain,
    ( ~ spl0_88
    | spl0_274
    | ~ spl0_313
    | ~ spl0_365
    | spl0_375 ),
    inference(sat_conversion,[],[f31106]) ).

cnf(s2059,plain,
    ( ~ spl0_88
    | ~ spl0_301
    | ~ spl0_313
    | spl0_324
    | spl0_415 ),
    inference(sat_conversion,[],[f31211]) ).

cnf(s2064,plain,
    ( spl0_200
    | ~ spl0_301
    | ~ spl0_308
    | spl0_416 ),
    inference(sat_conversion,[],[f31222]) ).

cnf(s2065,plain,
    ( ~ spl0_13
    | spl0_200
    | ~ spl0_303
    | ~ spl0_371
    | spl0_417 ),
    inference(sat_conversion,[],[f31244]) ).

cnf(s2067,plain,
    ( ~ spl0_1
    | spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f31299]) ).

cnf(s2068,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_206
    | ~ spl0_303
    | spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f31301]) ).

cnf(s2072,plain,
    ( ~ spl0_85
    | spl0_273
    | ~ spl0_304
    | spl0_415
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f31361]) ).

cnf(s2076,plain,
    ( ~ spl0_191
    | spl0_347
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f31419]) ).

cnf(s2078,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_371
    | spl0_417
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f31422]) ).

cnf(s2079,plain,
    ( ~ spl0_1
    | spl0_31
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f31451]) ).

cnf(s2080,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_31
    | spl0_346
    | ~ spl0_348
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f31453]) ).

cnf(s2081,plain,
    ( ~ spl0_24
    | ~ spl0_306
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f31481]) ).

cnf(s2082,plain,
    ( ~ spl0_94
    | ~ spl0_321
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f31511]) ).

cnf(s2083,plain,
    ( ~ spl0_83
    | ~ spl0_309
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f31513]) ).

cnf(s2084,plain,
    ( ~ spl0_13
    | ~ spl0_94
    | spl0_200
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f31516]) ).

cnf(s2085,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | ~ spl0_340
    | ~ spl0_424 ),
    inference(sat_conversion,[],[f31537]) ).

cnf(s2087,plain,
    ( ~ spl0_1
    | spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f31622]) ).

cnf(s2093,plain,
    ( ~ spl0_85
    | spl0_274
    | ~ spl0_364
    | ~ spl0_421
    | spl0_425 ),
    inference(sat_conversion,[],[f31685]) ).

cnf(s2095,plain,
    ( ~ spl0_52
    | ~ spl0_364
    | spl0_377
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f31687]) ).

cnf(s2096,plain,
    ( spl0_346
    | ~ spl0_364
    | ~ spl0_381
    | spl0_414 ),
    inference(sat_conversion,[],[f31688]) ).

cnf(s2103,plain,
    ( ~ spl0_201
    | ~ spl0_327
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f31891]) ).

cnf(s2104,plain,
    ( ~ spl0_327
    | ~ spl0_370
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f31893]) ).

cnf(s2105,plain,
    ( ~ spl0_327
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f31897]) ).

cnf(s2106,plain,
    ( ~ spl0_306
    | ~ spl0_309
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f31900]) ).

cnf(s2107,plain,
    ( ~ spl0_201
    | ~ spl0_225
    | spl0_249
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f31901]) ).

cnf(s2108,plain,
    ( ~ spl0_13
    | ~ spl0_327
    | spl0_346
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f31903]) ).

cnf(s2111,plain,
    ( spl0_346
    | spl0_428 ),
    inference(sat_conversion,[],[f31938]) ).

cnf(s2112,plain,
    ( spl0_346
    | spl0_351
    | spl0_428 ),
    inference(sat_conversion,[],[f31940]) ).

cnf(s2121,plain,
    ( ~ spl0_32
    | spl0_377
    | ~ spl0_382
    | ~ spl0_429 ),
    inference(sat_conversion,[],[f32344]) ).

cnf(s2122,plain,
    ( spl0_315
    | spl0_429 ),
    inference(sat_conversion,[],[f32353]) ).

cnf(s2123,plain,
    ( spl0_247
    | spl0_315
    | spl0_429 ),
    inference(sat_conversion,[],[f32354]) ).

cnf(s2127,plain,
    ( spl0_243
    | spl0_420
    | spl0_430 ),
    inference(sat_conversion,[],[f32411]) ).

cnf(s2130,plain,
    ( spl0_325
    | spl0_420
    | spl0_430 ),
    inference(sat_conversion,[],[f32415]) ).

cnf(s2137,plain,
    ( ~ spl0_13
    | ~ spl0_94
    | spl0_122
    | ~ spl0_324
    | spl0_346 ),
    inference(sat_conversion,[],[f32458]) ).

cnf(s2138,plain,
    ( spl0_306
    | spl0_350
    | spl0_421 ),
    inference(sat_conversion,[],[f32459]) ).

cnf(s2139,plain,
    ( ~ spl0_21
    | spl0_306
    | ~ spl0_364
    | ~ spl0_381
    | spl0_431 ),
    inference(sat_conversion,[],[f32463]) ).

cnf(s2140,plain,
    ( spl0_306
    | spl0_421 ),
    inference(sat_conversion,[],[f32464]) ).

cnf(s2141,plain,
    ( spl0_248
    | spl0_306
    | spl0_421 ),
    inference(sat_conversion,[],[f32466]) ).

cnf(s2143,plain,
    ( ~ spl0_219
    | ~ spl0_346
    | ~ spl0_348
    | ~ spl0_361 ),
    inference(sat_conversion,[],[f32468]) ).

cnf(s2145,plain,
    ( ~ spl0_302
    | ~ spl0_346
    | ~ spl0_361
    | ~ spl0_385 ),
    inference(sat_conversion,[],[f32473]) ).

cnf(s2149,plain,
    ( ~ spl0_11
    | ~ spl0_41
    | ~ spl0_322
    | spl0_348
    | spl0_434 ),
    inference(sat_conversion,[],[f32489]) ).

cnf(s2150,plain,
    ( ~ spl0_250
    | ~ spl0_346
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f32490]) ).

cnf(s2151,plain,
    ( spl0_323
    | spl0_348 ),
    inference(sat_conversion,[],[f32491]) ).

cnf(s2152,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_227
    | ~ spl0_322
    | spl0_325
    | spl0_348 ),
    inference(sat_conversion,[],[f32493]) ).

cnf(s2154,plain,
    ( ~ spl0_13
    | spl0_346
    | spl0_371 ),
    inference(sat_conversion,[],[f32515]) ).

cnf(s2159,plain,
    ( ~ spl0_362
    | ~ spl0_381
    | ~ spl0_416
    | ~ spl0_436 ),
    inference(sat_conversion,[],[f32676]) ).

cnf(s2167,plain,
    ( ~ spl0_88
    | spl0_273
    | ~ spl0_367
    | spl0_375
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f32763]) ).

cnf(s2170,plain,
    ( ~ spl0_367
    | ~ spl0_372
    | ~ spl0_394
    | ~ spl0_439 ),
    inference(sat_conversion,[],[f32770]) ).

cnf(s2173,plain,
    ( spl0_194
    | spl0_395
    | spl0_439 ),
    inference(sat_conversion,[],[f32786]) ).

cnf(s2174,plain,
    ( spl0_247
    | spl0_395
    | spl0_439 ),
    inference(sat_conversion,[],[f32787]) ).

cnf(s2175,plain,
    ( spl0_395
    | spl0_439 ),
    inference(sat_conversion,[],[f32788]) ).

cnf(s2177,plain,
    ( spl0_101
    | spl0_395
    | spl0_439 ),
    inference(sat_conversion,[],[f32789]) ).

cnf(s2178,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_335
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f32828]) ).

cnf(s2179,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_250
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f32830]) ).

cnf(s2183,plain,
    ( ~ spl0_24
    | ~ spl0_94
    | ~ spl0_377
    | ~ spl0_383
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f32926]) ).

cnf(s2184,plain,
    ( ~ spl0_52
    | spl0_309
    | ~ spl0_367
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f32927]) ).

cnf(s2186,plain,
    ( ~ spl0_85
    | spl0_274
    | ~ spl0_305
    | ~ spl0_365
    | spl0_375 ),
    inference(sat_conversion,[],[f32930]) ).

cnf(s2193,plain,
    ( ~ spl0_21
    | ~ spl0_304
    | spl0_306
    | ~ spl0_313
    | spl0_441 ),
    inference(sat_conversion,[],[f32944]) ).

cnf(s2196,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_221
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f33006]) ).

cnf(s2197,plain,
    ( ~ spl0_279
    | spl0_335
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f33040]) ).

cnf(s2199,plain,
    ( spl0_36
    | ~ spl0_193
    | ~ spl0_225
    | spl0_386
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f33044]) ).

cnf(s2201,plain,
    ( spl0_31
    | ~ spl0_193
    | ~ spl0_401 ),
    inference(sat_conversion,[],[f33196]) ).

cnf(s2202,plain,
    ( spl0_31
    | spl0_223
    | ~ spl0_401 ),
    inference(sat_conversion,[],[f33200]) ).

cnf(s2211,plain,
    ( ~ spl0_88
    | spl0_274
    | ~ spl0_308
    | ~ spl0_364
    | spl0_425 ),
    inference(sat_conversion,[],[f33300]) ).

cnf(s2214,plain,
    ( ~ spl0_304
    | ~ spl0_308
    | ~ spl0_423
    | ~ spl0_428 ),
    inference(sat_conversion,[],[f33325]) ).

cnf(s2216,plain,
    ( ~ spl0_312
    | ~ spl0_364
    | ~ spl0_373
    | ~ spl0_430 ),
    inference(sat_conversion,[],[f33474]) ).

cnf(s2218,plain,
    ( ~ spl0_302
    | ~ spl0_306
    | ~ spl0_344
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f33479]) ).

cnf(s2219,plain,
    ( ~ spl0_9
    | ~ spl0_196
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f33480]) ).

cnf(s2222,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_376
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f33638]) ).

cnf(s2223,plain,
    ( ~ spl0_63
    | spl0_192
    | ~ spl0_345
    | ~ spl0_376 ),
    inference(sat_conversion,[],[f33640]) ).

cnf(s2225,plain,
    ( ~ spl0_163
    | ~ spl0_375
    | spl0_392
    | ~ spl0_429 ),
    inference(sat_conversion,[],[f33718]) ).

cnf(s2228,plain,
    ( ~ spl0_311
    | ~ spl0_362
    | ~ spl0_372
    | ~ spl0_439 ),
    inference(sat_conversion,[],[f33767]) ).

cnf(s2231,plain,
    ( ~ spl0_21
    | ~ spl0_313
    | ~ spl0_367
    | spl0_377
    | spl0_398 ),
    inference(sat_conversion,[],[f33776]) ).

cnf(s2232,plain,
    ( spl0_36
    | spl0_41
    | ~ spl0_225
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f33781]) ).

cnf(s2233,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_20
    | spl0_37 ),
    inference(sat_conversion,[],[f33782]) ).

cnf(s2234,plain,
    ( ~ spl0_21
    | ~ spl0_308
    | ~ spl0_362
    | spl0_377
    | spl0_438 ),
    inference(sat_conversion,[],[f33784]) ).

cnf(s2253,plain,
    ( ~ spl0_11
    | spl0_37
    | ~ spl0_47
    | ~ spl0_87
    | ~ spl0_99
    | spl0_102 ),
    inference(sat_conversion,[],[f33839]) ).

cnf(s2254,plain,
    ( ~ spl0_32
    | ~ spl0_62
    | spl0_309
    | ~ spl0_423 ),
    inference(sat_conversion,[],[f33843]) ).

cnf(s2256,plain,
    ( ~ spl0_32
    | ~ spl0_62
    | spl0_306
    | ~ spl0_416 ),
    inference(sat_conversion,[],[f33845]) ).

cnf(s2257,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | ~ spl0_343
    | spl0_420 ),
    inference(sat_conversion,[],[f33846]) ).

cnf(s2268,plain,
    ( ~ spl0_46
    | spl0_195 ),
    inference(sat_conversion,[],[f33973]) ).

cnf(s2275,plain,
    ( ~ spl0_1
    | ~ spl0_192
    | ~ spl0_346
    | ~ spl0_363
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f33997]) ).

cnf(s2278,plain,
    ( ~ spl0_23
    | spl0_38
    | ~ spl0_83
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f34012]) ).

cnf(s2279,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_371 ),
    inference(sat_conversion,[],[f34047]) ).

cnf(s2281,plain,
    ( ~ spl0_47
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f34080]) ).

cnf(s2282,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f34084]) ).

cnf(s2291,plain,
    ( ~ spl0_29
    | spl0_306
    | ~ spl0_323
    | spl0_343 ),
    inference(sat_conversion,[],[f34185]) ).

cnf(s2294,plain,
    ( ~ spl0_34
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f34223]) ).

cnf(s2295,plain,
    ( ~ spl0_1
    | spl0_198
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f34224]) ).

cnf(s2296,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_24
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f34261]) ).

cnf(s2303,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | spl0_335
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f34324]) ).

cnf(s2309,plain,
    ( ~ spl0_11
    | spl0_193
    | spl0_348
    | ~ spl0_362 ),
    inference(sat_conversion,[],[f34425]) ).

cnf(s2313,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_87
    | ~ spl0_94
    | ~ spl0_227
    | spl0_337 ),
    inference(sat_conversion,[],[f34434]) ).

cnf(s2315,plain,
    ( ~ spl0_87
    | ~ spl0_227
    | ~ spl0_310
    | spl0_325
    | ~ spl0_326
    | spl0_348 ),
    inference(sat_conversion,[],[f34436]) ).

cnf(s2316,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_24
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f34437]) ).

cnf(s2317,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_13
    | spl0_87
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f34438]) ).

cnf(s2330,plain,
    ( ~ spl0_122
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f34664]) ).

cnf(s2331,plain,
    ( spl0_247
    | spl0_301
    | spl0_302 ),
    inference(sat_conversion,[],[f34716]) ).

cnf(s2335,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_387 ),
    inference(sat_conversion,[],[f34765]) ).

cnf(s2338,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_361
    | ~ spl0_383
    | spl0_465 ),
    inference(sat_conversion,[],[f34837]) ).

cnf(s2339,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | ~ spl0_361
    | spl0_433 ),
    inference(sat_conversion,[],[f34839]) ).

cnf(s2341,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_346
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f34845]) ).

cnf(s2351,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_20
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f35113]) ).

cnf(s2352,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_11
    | ~ spl0_20
    | spl0_451 ),
    inference(sat_conversion,[],[f35116]) ).

cnf(s2353,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_20
    | spl0_31 ),
    inference(sat_conversion,[],[f35117]) ).

cnf(s2373,plain,
    ( ~ spl0_195
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_434 ),
    inference(sat_conversion,[],[f35363]) ).

cnf(s2383,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_309
    | ~ spl0_394 ),
    inference(sat_conversion,[],[f35564]) ).

cnf(s2384,plain,
    ( ~ spl0_122
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f35593]) ).

cnf(s2385,plain,
    ( ~ spl0_23
    | ~ spl0_86
    | spl0_171 ),
    inference(sat_conversion,[],[f35618]) ).

cnf(s2386,plain,
    ( ~ spl0_86
    | spl0_117
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f35620]) ).

cnf(s2387,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_86
    | ~ spl0_221 ),
    inference(sat_conversion,[],[f35624]) ).

cnf(s2389,plain,
    ( spl0_31
    | ~ spl0_86
    | ~ spl0_100
    | spl0_103 ),
    inference(sat_conversion,[],[f35627]) ).

cnf(s2393,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_306
    | ~ spl0_311 ),
    inference(sat_conversion,[],[f35772]) ).

cnf(s2395,plain,
    ( spl0_310
    | spl0_469 ),
    inference(sat_conversion,[],[f35809]) ).

cnf(s2396,plain,
    ( spl0_310
    | spl0_469 ),
    inference(sat_conversion,[],[f35812]) ).

cnf(s2399,plain,
    ( spl0_36
    | spl0_310
    | spl0_469 ),
    inference(sat_conversion,[],[f35816]) ).

cnf(s2403,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_47
    | spl0_193
    | spl0_248
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f35853]) ).

cnf(s2405,plain,
    ( ~ spl0_199
    | ~ spl0_201
    | spl0_217 ),
    inference(sat_conversion,[],[f35890]) ).

cnf(s2408,plain,
    ( ~ spl0_11
    | spl0_37
    | ~ spl0_47
    | spl0_449 ),
    inference(sat_conversion,[],[f35900]) ).

cnf(s2417,plain,
    ( ~ spl0_191
    | spl0_276
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f35915]) ).

cnf(s2419,plain,
    ( ~ spl0_11
    | spl0_41
    | ~ spl0_279
    | spl0_451 ),
    inference(sat_conversion,[],[f35919]) ).

cnf(s2420,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | ~ spl0_309
    | ~ spl0_322 ),
    inference(sat_conversion,[],[f35920]) ).

cnf(s2422,plain,
    ( ~ spl0_52
    | ~ spl0_305
    | ~ spl0_365
    | spl0_377 ),
    inference(sat_conversion,[],[f35922]) ).

cnf(s2423,plain,
    ( ~ spl0_58
    | spl0_309
    | ~ spl0_365
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f35923]) ).

cnf(s2424,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_433 ),
    inference(sat_conversion,[],[f35925]) ).

cnf(s2425,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_20
    | ~ spl0_31
    | spl0_36 ),
    inference(sat_conversion,[],[f35949]) ).

cnf(s2428,plain,
    ( ~ spl0_11
    | spl0_37
    | spl0_451 ),
    inference(sat_conversion,[],[f35957]) ).

cnf(s2429,plain,
    ( ~ spl0_20
    | spl0_35
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f35976]) ).

cnf(s2434,plain,
    ( ~ spl0_11
    | spl0_37
    | spl0_193
    | spl0_243
    | spl0_377 ),
    inference(sat_conversion,[],[f36028]) ).

cnf(s2436,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_239
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f36030]) ).

cnf(s2444,plain,
    ( ~ spl0_47
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f36154]) ).

cnf(s2458,plain,
    ( ~ spl0_221
    | ~ spl0_324
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f36362]) ).

cnf(s2460,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_37
    | ~ spl0_86
    | spl0_117 ),
    inference(sat_conversion,[],[f36384]) ).

cnf(s2468,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_217
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f36553]) ).

cnf(s2472,plain,
    ( ~ spl0_199
    | ~ spl0_303
    | spl0_326 ),
    inference(sat_conversion,[],[f36559]) ).

cnf(s2479,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_219
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f36679]) ).

cnf(s2488,plain,
    ( ~ spl0_90
    | ~ spl0_274
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f36749]) ).

cnf(s2490,plain,
    ( ~ spl0_90
    | ~ spl0_94
    | ~ spl0_203
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f36779]) ).

cnf(s2492,plain,
    ( ~ spl0_58
    | ~ spl0_362
    | spl0_377
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f36783]) ).

cnf(s2493,plain,
    ( ~ spl0_52
    | spl0_306
    | ~ spl0_362
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f36784]) ).

cnf(s2502,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_37
    | ~ spl0_200
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f36945]) ).

cnf(s2503,plain,
    ( ~ spl0_199
    | ~ spl0_309
    | spl0_344 ),
    inference(sat_conversion,[],[f36946]) ).

cnf(s2504,plain,
    ( ~ spl0_13
    | ~ spl0_20
    | spl0_47
    | spl0_200
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f36947]) ).

cnf(s2507,plain,
    ( ~ spl0_365
    | spl0_370
    | spl0_374 ),
    inference(sat_conversion,[],[f36956]) ).

cnf(s2509,plain,
    ( spl0_200
    | spl0_443 ),
    inference(sat_conversion,[],[f36958]) ).

cnf(s2510,plain,
    ( spl0_200
    | ~ spl0_365
    | ~ spl0_381
    | spl0_414 ),
    inference(sat_conversion,[],[f36959]) ).

cnf(s2511,plain,
    ( spl0_200
    | spl0_243
    | spl0_443 ),
    inference(sat_conversion,[],[f36964]) ).

cnf(s2514,plain,
    ( ~ spl0_35
    | ~ spl0_200
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f36967]) ).

cnf(s2520,plain,
    ( ~ spl0_35
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f36977]) ).

cnf(s2524,plain,
    ( spl0_31
    | spl0_37 ),
    inference(sat_conversion,[],[f36984]) ).

cnf(s2525,plain,
    ( ~ spl0_37
    | spl0_41
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f36994]) ).

cnf(s2535,plain,
    ( ~ spl0_279
    | ~ spl0_315
    | spl0_344 ),
    inference(sat_conversion,[],[f37157]) ).

cnf(s2536,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_217
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f37160]) ).

cnf(s2539,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323
    | spl0_351
    | spl0_371 ),
    inference(sat_conversion,[],[f37189]) ).

cnf(s2542,plain,
    ( ~ spl0_13
    | spl0_87
    | ~ spl0_371
    | spl0_417
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f37248]) ).

cnf(s2544,plain,
    ( ~ spl0_41
    | ~ spl0_83
    | ~ spl0_87
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f37353]) ).

cnf(s2555,plain,
    ~ spl0_325,
    inference(sat_conversion,[],[f37632]) ).

cnf(s2563,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_326
    | spl0_348 ),
    inference(sat_conversion,[],[f37675]) ).

cnf(s2564,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f37677]) ).

cnf(s2565,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_302
    | spl0_348
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f37679]) ).

cnf(s2586,plain,
    ( ~ spl0_32
    | ~ spl0_62
    | spl0_377
    | ~ spl0_414 ),
    inference(sat_conversion,[],[f37947]) ).

cnf(s2593,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f38023]) ).

cnf(s2596,plain,
    ( ~ spl0_367
    | spl0_394
    | spl0_395
    | ~ spl0_396 ),
    inference(sat_conversion,[],[f38094]) ).

cnf(s2611,plain,
    ( ~ spl0_303
    | ~ spl0_370
    | ~ spl0_371
    | spl0_417 ),
    inference(sat_conversion,[],[f38363]) ).

cnf(s2618,plain,
    ( ~ spl0_86
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f38649]) ).

cnf(s2622,plain,
    ( ~ spl0_163
    | ~ spl0_415
    | spl0_418
    | ~ spl0_429 ),
    inference(sat_conversion,[],[f38798]) ).

cnf(s2623,plain,
    ( ~ spl0_104
    | ~ spl0_345
    | spl0_360
    | ~ spl0_415 ),
    inference(sat_conversion,[],[f38799]) ).

cnf(s2629,plain,
    ( ~ spl0_104
    | spl0_360
    | ~ spl0_388
    | ~ spl0_425 ),
    inference(sat_conversion,[],[f38878]) ).

cnf(s2630,plain,
    ( ~ spl0_304
    | ~ spl0_367
    | ~ spl0_396
    | ~ spl0_425 ),
    inference(sat_conversion,[],[f38879]) ).

cnf(s2631,plain,
    ( ~ spl0_197
    | spl0_250
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f38917]) ).

cnf(s2632,plain,
    ( ~ spl0_86
    | spl0_184
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f38957]) ).

cnf(s2633,plain,
    ( ~ spl0_37
    | ~ spl0_100
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f38975]) ).

cnf(s2634,plain,
    ( ~ spl0_37
    | spl0_99
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f38978]) ).

cnf(s2640,plain,
    ( ~ spl0_304
    | ~ spl0_312
    | ~ spl0_394
    | ~ spl0_430 ),
    inference(sat_conversion,[],[f38984]) ).

cnf(s2645,plain,
    ( ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309
    | spl0_320 ),
    inference(sat_conversion,[],[f39121]) ).

cnf(s2650,plain,
    ( ~ spl0_86
    | spl0_184
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f39254]) ).

cnf(s2651,plain,
    ( ~ spl0_9
    | ~ spl0_346
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f39255]) ).

cnf(s2653,plain,
    ( ~ spl0_103
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f39261]) ).

cnf(s2655,plain,
    ( ~ spl0_54
    | spl0_86
    | spl0_87
    | spl0_94
    | spl0_101
    | spl0_102 ),
    inference(sat_conversion,[],[f39299]) ).

cnf(s2668,plain,
    ( spl0_360
    | spl0_424 ),
    inference(sat_conversion,[],[f39542]) ).

cnf(s2669,plain,
    ( spl0_360
    | spl0_424 ),
    inference(sat_conversion,[],[f39545]) ).

cnf(s2670,plain,
    ( ~ spl0_303
    | ~ spl0_315
    | spl0_327
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f39587]) ).

cnf(s2671,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_411
    | spl0_415 ),
    inference(sat_conversion,[],[f39738]) ).

cnf(s2674,plain,
    ( ~ spl0_323
    | ~ spl0_345
    | spl0_360
    | ~ spl0_364
    | ~ spl0_388
    | ~ spl0_442 ),
    inference(sat_conversion,[],[f39783]) ).

cnf(s2675,plain,
    ( ~ spl0_303
    | ~ spl0_363
    | ~ spl0_368
    | spl0_484 ),
    inference(sat_conversion,[],[f39828]) ).

cnf(s2677,plain,
    ( ~ spl0_363
    | ~ spl0_395
    | ~ spl0_420
    | spl0_484 ),
    inference(sat_conversion,[],[f39833]) ).

cnf(s2678,plain,
    ( ~ spl0_195
    | ~ spl0_346
    | ~ spl0_363
    | spl0_484 ),
    inference(sat_conversion,[],[f39836]) ).

cnf(s2680,plain,
    ( ~ spl0_38
    | ~ spl0_360
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f39841]) ).

cnf(s2681,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f39852]) ).

cnf(s2682,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f39854]) ).

cnf(s2688,plain,
    ( ~ spl0_223
    | ~ spl0_367
    | ~ spl0_468
    | ~ spl0_482 ),
    inference(sat_conversion,[],[f39864]) ).

cnf(s2689,plain,
    ( ~ spl0_223
    | ~ spl0_342
    | ~ spl0_362
    | ~ spl0_388 ),
    inference(sat_conversion,[],[f39865]) ).

cnf(s2690,plain,
    ( ~ spl0_223
    | ~ spl0_340
    | ~ spl0_367
    | ~ spl0_388 ),
    inference(sat_conversion,[],[f39866]) ).

cnf(s2692,plain,
    ( ~ spl0_223
    | ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_454 ),
    inference(sat_conversion,[],[f39869]) ).

cnf(s2693,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_223
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f39870]) ).

cnf(s2695,plain,
    ( ~ spl0_24
    | ~ spl0_392
    | ~ spl0_418
    | ~ spl0_433 ),
    inference(sat_conversion,[],[f39878]) ).

cnf(s2696,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_370
    | spl0_417 ),
    inference(sat_conversion,[],[f39879]) ).

cnf(s2700,plain,
    ( ~ spl0_4
    | ~ spl0_95
    | spl0_370
    | ~ spl0_481 ),
    inference(sat_conversion,[],[f39889]) ).

cnf(s2714,plain,
    ( ~ spl0_37
    | ~ spl0_201
    | ~ spl0_315
    | spl0_319 ),
    inference(sat_conversion,[],[f39974]) ).

cnf(s2716,plain,
    ( spl0_249
    | spl0_392
    | spl0_468 ),
    inference(sat_conversion,[],[f39999]) ).

cnf(s2718,plain,
    ( spl0_392
    | spl0_468 ),
    inference(sat_conversion,[],[f40002]) ).

cnf(s2721,plain,
    ( ~ spl0_38
    | ~ spl0_196
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f40007]) ).

cnf(s2722,plain,
    ( ~ spl0_171
    | ~ spl0_196
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f40010]) ).

cnf(s2732,plain,
    ( ~ spl0_90
    | ~ spl0_273
    | ~ spl0_319 ),
    inference(sat_conversion,[],[f40094]) ).

cnf(s2733,plain,
    ( ~ spl0_197
    | ~ spl0_366
    | spl0_385 ),
    inference(sat_conversion,[],[f40117]) ).

cnf(s2736,plain,
    ( ~ spl0_100
    | ~ spl0_201
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f40224]) ).

cnf(s2737,plain,
    ( ~ spl0_100
    | spl0_206
    | ~ spl0_321 ),
    inference(sat_conversion,[],[f40228]) ).

cnf(s2747,plain,
    ( ~ spl0_323
    | ~ spl0_364
    | ~ spl0_390
    | ~ spl0_424 ),
    inference(sat_conversion,[],[f40432]) ).

cnf(s2750,plain,
    ( ~ spl0_201
    | ~ spl0_315
    | spl0_487 ),
    inference(sat_conversion,[],[f40630]) ).

cnf(s2755,plain,
    ( ~ spl0_303
    | ~ spl0_310
    | spl0_327
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f40868]) ).

cnf(s2761,plain,
    ( ~ spl0_367
    | spl0_383
    | spl0_412 ),
    inference(sat_conversion,[],[f40886]) ).

cnf(s2766,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | spl0_327
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f40896]) ).

cnf(s2773,plain,
    ( ~ spl0_52
    | ~ spl0_63
    | spl0_306
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f40916]) ).

cnf(s2777,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_342
    | ~ spl0_345 ),
    inference(sat_conversion,[],[f40930]) ).

cnf(s2780,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_303
    | spl0_348
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f40941]) ).

cnf(s2786,plain,
    ( ~ spl0_11
    | spl0_194
    | spl0_201
    | spl0_302
    | spl0_348 ),
    inference(sat_conversion,[],[f40949]) ).

cnf(s2793,plain,
    ( ~ spl0_11
    | spl0_201
    | ~ spl0_301
    | spl0_348 ),
    inference(sat_conversion,[],[f40960]) ).

cnf(s2794,plain,
    ( ~ spl0_46
    | spl0_87 ),
    inference(sat_conversion,[],[f41036]) ).

cnf(s2803,plain,
    ( ~ spl0_310
    | ~ spl0_370
    | spl0_499 ),
    inference(sat_conversion,[],[f41124]) ).

cnf(s2819,plain,
    ( ~ spl0_84
    | spl0_274
    | ~ spl0_305
    | ~ spl0_367
    | spl0_502 ),
    inference(sat_conversion,[],[f41393]) ).

cnf(s2823,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_201
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f41404]) ).

cnf(s2826,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | spl0_201
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f41411]) ).

cnf(s2827,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_200
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f41412]) ).

cnf(s2828,plain,
    ( ~ spl0_198
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f41413]) ).

cnf(s2832,plain,
    ( ~ spl0_42
    | spl0_306
    | ~ spl0_323
    | spl0_507 ),
    inference(sat_conversion,[],[f41426]) ).

cnf(s2833,plain,
    ( ~ spl0_206
    | ~ spl0_305
    | ~ spl0_367
    | ~ spl0_389 ),
    inference(sat_conversion,[],[f41427]) ).

cnf(s2851,plain,
    ( ~ spl0_195
    | ~ spl0_344
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f41654]) ).

cnf(s2873,plain,
    ( spl0_194
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_500 ),
    inference(sat_conversion,[],[f41911]) ).

cnf(s2879,plain,
    ( ~ spl0_306
    | ~ spl0_377
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f42032]) ).

cnf(s2880,plain,
    ( ~ spl0_371
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f42036]) ).

cnf(s2884,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_348
    | spl0_351
    | ~ spl0_383
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f42049]) ).

cnf(s2889,plain,
    ( ~ spl0_62
    | ~ spl0_145
    | spl0_200
    | ~ spl0_339 ),
    inference(sat_conversion,[],[f42181]) ).

cnf(s2890,plain,
    ( ~ spl0_63
    | ~ spl0_104
    | spl0_196
    | ~ spl0_339 ),
    inference(sat_conversion,[],[f42182]) ).

cnf(s2891,plain,
    ( ~ spl0_95
    | ~ spl0_372
    | spl0_420
    | ~ spl0_431 ),
    inference(sat_conversion,[],[f42318]) ).

cnf(s2893,plain,
    ( ~ spl0_304
    | ~ spl0_362
    | ~ spl0_421
    | ~ spl0_502 ),
    inference(sat_conversion,[],[f42345]) ).

cnf(s2895,plain,
    ( ~ spl0_84
    | spl0_274
    | ~ spl0_362
    | ~ spl0_421
    | spl0_509 ),
    inference(sat_conversion,[],[f42354]) ).

cnf(s2898,plain,
    ( ~ spl0_86
    | ~ spl0_324
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f42365]) ).

cnf(s2900,plain,
    ( ~ spl0_20
    | ~ spl0_371
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f42368]) ).

cnf(s2902,plain,
    ( ~ spl0_323
    | ~ spl0_362
    | ~ spl0_389
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f42370]) ).

cnf(s2905,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | spl0_348
    | spl0_351
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f42378]) ).

cnf(s2908,plain,
    ( ~ spl0_32
    | ~ spl0_163
    | spl0_315
    | ~ spl0_483 ),
    inference(sat_conversion,[],[f42380]) ).

cnf(s2911,plain,
    ( ~ spl0_273
    | ~ spl0_324
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f42576]) ).

cnf(s2915,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | spl0_392
    | spl0_506 ),
    inference(sat_conversion,[],[f42644]) ).

cnf(s2925,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_370
    | ~ spl0_482 ),
    inference(sat_conversion,[],[f42660]) ).

cnf(s2927,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_49
    | spl0_94 ),
    inference(sat_conversion,[],[f42688]) ).

cnf(s2935,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_323
    | spl0_418 ),
    inference(sat_conversion,[],[f42712]) ).

cnf(s2940,plain,
    ( ~ spl0_324
    | ~ spl0_348
    | ~ spl0_418
    | ~ spl0_477 ),
    inference(sat_conversion,[],[f42727]) ).

cnf(s2942,plain,
    ( ~ spl0_11
    | ~ spl0_219
    | spl0_348
    | ~ spl0_433
    | spl0_521 ),
    inference(sat_conversion,[],[f42736]) ).

cnf(s2944,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323
    | spl0_346 ),
    inference(sat_conversion,[],[f42738]) ).

cnf(s2946,plain,
    ( spl0_195
    | spl0_248
    | spl0_436 ),
    inference(sat_conversion,[],[f42746]) ).

cnf(s2950,plain,
    ( ~ spl0_11
    | spl0_37
    | spl0_101
    | spl0_201
    | spl0_315 ),
    inference(sat_conversion,[],[f42750]) ).

cnf(s2952,plain,
    ( spl0_195
    | spl0_436 ),
    inference(sat_conversion,[],[f42755]) ).

cnf(s2957,plain,
    ( ~ spl0_11
    | spl0_37
    | spl0_101
    | spl0_201
    | spl0_309 ),
    inference(sat_conversion,[],[f42767]) ).

cnf(s2960,plain,
    ( ~ spl0_1
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_499 ),
    inference(sat_conversion,[],[f42814]) ).

cnf(s2975,plain,
    ( ~ spl0_100
    | ~ spl0_348
    | ~ spl0_495 ),
    inference(sat_conversion,[],[f42963]) ).

cnf(s2977,plain,
    ( ~ spl0_42
    | ~ spl0_206
    | spl0_309
    | spl0_526 ),
    inference(sat_conversion,[],[f42969]) ).

cnf(s2979,plain,
    ( ~ spl0_29
    | ~ spl0_206
    | spl0_309
    | spl0_341 ),
    inference(sat_conversion,[],[f42971]) ).

cnf(s2992,plain,
    ( ~ spl0_84
    | spl0_273
    | ~ spl0_365
    | ~ spl0_393
    | spl0_527 ),
    inference(sat_conversion,[],[f43215]) ).

cnf(s3000,plain,
    ( ~ spl0_222
    | ~ spl0_348
    | ~ spl0_420
    | spl0_466 ),
    inference(sat_conversion,[],[f43257]) ).

cnf(s3002,plain,
    ( ~ spl0_90
    | ~ spl0_324
    | ~ spl0_466 ),
    inference(sat_conversion,[],[f43305]) ).

cnf(s3003,plain,
    ( ~ spl0_1
    | ~ spl0_371
    | ~ spl0_466 ),
    inference(sat_conversion,[],[f43307]) ).

cnf(s3011,plain,
    ( ~ spl0_38
    | ~ spl0_192
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f43414]) ).

cnf(s3014,plain,
    ( ~ spl0_223
    | ~ spl0_343
    | ~ spl0_364
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f43417]) ).

cnf(s3016,plain,
    ( ~ spl0_11
    | ~ spl0_223
    | ~ spl0_323
    | ~ spl0_364 ),
    inference(sat_conversion,[],[f43419]) ).

cnf(s3017,plain,
    ( ~ spl0_11
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_365 ),
    inference(sat_conversion,[],[f43420]) ).

cnf(s3019,plain,
    ( ~ spl0_122
    | ~ spl0_200
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f43517]) ).

cnf(s3021,plain,
    ( ~ spl0_11
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f43610]) ).

cnf(s3024,plain,
    ( ~ spl0_201
    | ~ spl0_273
    | ~ spl0_315
    | ~ spl0_477 ),
    inference(sat_conversion,[],[f43612]) ).

cnf(s3026,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_201
    | ~ spl0_273
    | spl0_275 ),
    inference(sat_conversion,[],[f43614]) ).

cnf(s3041,plain,
    ( ~ spl0_11
    | ~ spl0_206
    | ~ spl0_304
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f43751]) ).

cnf(s3051,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | spl0_418
    | ~ spl0_482 ),
    inference(sat_conversion,[],[f43868]) ).

cnf(s3059,plain,
    ( ~ spl0_58
    | spl0_306
    | ~ spl0_364
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f44232]) ).

cnf(s3060,plain,
    ( ~ spl0_32
    | ~ spl0_62
    | spl0_383
    | ~ spl0_505 ),
    inference(sat_conversion,[],[f44233]) ).

cnf(s3063,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_339
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f44333]) ).

cnf(s3065,plain,
    ( ~ spl0_301
    | ~ spl0_323
    | ~ spl0_341
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f44334]) ).

cnf(s3071,plain,
    ( ~ spl0_301
    | ~ spl0_364
    | ~ spl0_421
    | ~ spl0_527 ),
    inference(sat_conversion,[],[f44441]) ).

cnf(s3072,plain,
    ( ~ spl0_199
    | spl0_224
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f44540]) ).

cnf(s3073,plain,
    ( ~ spl0_192
    | spl0_203
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f44632]) ).

cnf(s3075,plain,
    ( ~ spl0_192
    | ~ spl0_193
    | spl0_528 ),
    inference(sat_conversion,[],[f44639]) ).

cnf(s3080,plain,
    ( ~ spl0_100
    | ~ spl0_193
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(sat_conversion,[],[f44802]) ).

cnf(s3081,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_274
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(sat_conversion,[],[f44806]) ).

cnf(s3083,plain,
    ( ~ spl0_362
    | ~ spl0_393
    | ~ spl0_468
    | ~ spl0_512 ),
    inference(sat_conversion,[],[f44869]) ).

cnf(s3085,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_454
    | spl0_516 ),
    inference(sat_conversion,[],[f44876]) ).

cnf(s3088,plain,
    ( ~ spl0_362
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_513 ),
    inference(sat_conversion,[],[f44877]) ).

cnf(s3092,plain,
    ( ~ spl0_365
    | ~ spl0_393
    | ~ spl0_439
    | ~ spl0_529 ),
    inference(sat_conversion,[],[f44990]) ).

cnf(s3109,plain,
    ( ~ spl0_103
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f45443]) ).

cnf(s3115,plain,
    ( ~ spl0_62
    | spl0_195
    | ~ spl0_376
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f45457]) ).

cnf(s3116,plain,
    ( ~ spl0_323
    | ~ spl0_364
    | spl0_418
    | ~ spl0_429
    | ~ spl0_442
    | ~ spl0_468 ),
    inference(sat_conversion,[],[f45458]) ).

cnf(s3117,plain,
    ( ~ spl0_110
    | spl0_274
    | ~ spl0_469
    | ~ spl0_527 ),
    inference(sat_conversion,[],[f45459]) ).

cnf(s3118,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_274
    | ~ spl0_505 ),
    inference(sat_conversion,[],[f45460]) ).

cnf(s3127,plain,
    ( ~ spl0_323
    | ~ spl0_364
    | spl0_420
    | ~ spl0_439
    | ~ spl0_442
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f45474]) ).

cnf(s3141,plain,
    ( spl0_247
    | spl0_303
    | spl0_304 ),
    inference(sat_conversion,[],[f45724]) ).

cnf(s3148,plain,
    ( ~ spl0_365
    | ~ spl0_393
    | ~ spl0_436
    | ~ spl0_532 ),
    inference(sat_conversion,[],[f45836]) ).

cnf(s3149,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | spl0_196
    | ~ spl0_532 ),
    inference(sat_conversion,[],[f45838]) ).

cnf(s3152,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | spl0_200
    | ~ spl0_535 ),
    inference(sat_conversion,[],[f46187]) ).

cnf(s3154,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_436
    | ~ spl0_536 ),
    inference(sat_conversion,[],[f46231]) ).

cnf(s3158,plain,
    ( spl0_192
    | ~ spl0_367
    | spl0_454 ),
    inference(sat_conversion,[],[f46239]) ).

cnf(s3160,plain,
    ( ~ spl0_367
    | ~ spl0_381
    | ~ spl0_468
    | ~ spl0_533 ),
    inference(sat_conversion,[],[f46242]) ).

cnf(s3162,plain,
    ( ~ spl0_367
    | ~ spl0_381
    | ~ spl0_423
    | ~ spl0_436 ),
    inference(sat_conversion,[],[f46244]) ).

cnf(s3165,plain,
    ( ~ spl0_305
    | ~ spl0_365
    | ~ spl0_429
    | ~ spl0_505 ),
    inference(sat_conversion,[],[f46249]) ).

cnf(s3166,plain,
    ( ~ spl0_63
    | ~ spl0_323
    | ~ spl0_388
    | ~ spl0_509 ),
    inference(sat_conversion,[],[f46250]) ).

cnf(s3168,plain,
    ( ~ spl0_87
    | ~ spl0_274
    | ~ spl0_465 ),
    inference(sat_conversion,[],[f46256]) ).

cnf(s3174,plain,
    ( ~ spl0_32
    | ~ spl0_305
    | spl0_392
    | ~ spl0_398 ),
    inference(sat_conversion,[],[f46263]) ).

cnf(s3175,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_370
    | spl0_417 ),
    inference(sat_conversion,[],[f46264]) ).

cnf(s3176,plain,
    ( ~ spl0_32
    | ~ spl0_301
    | ~ spl0_305
    | spl0_306
    | ~ spl0_362
    | ~ spl0_459 ),
    inference(sat_conversion,[],[f46265]) ).

cnf(s3177,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_381
    | ~ spl0_459 ),
    inference(sat_conversion,[],[f46269]) ).

cnf(s3179,plain,
    ( ~ spl0_301
    | ~ spl0_305
    | ~ spl0_367
    | ~ spl0_509 ),
    inference(sat_conversion,[],[f46272]) ).

cnf(s3187,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_196
    | ~ spl0_303
    | spl0_348
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f46283]) ).

cnf(s3195,plain,
    ( ~ spl0_62
    | spl0_383
    | ~ spl0_443
    | ~ spl0_527 ),
    inference(sat_conversion,[],[f46304]) ).

cnf(s3199,plain,
    ( ~ spl0_1
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_346
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f46316]) ).

cnf(s3203,plain,
    ( ~ spl0_63
    | ~ spl0_223
    | spl0_360
    | ~ spl0_522 ),
    inference(sat_conversion,[],[f46320]) ).

cnf(s3204,plain,
    ( ~ spl0_37
    | spl0_323
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f46321]) ).

cnf(s3242,plain,
    ( spl0_193
    | ~ spl0_196
    | ~ spl0_337
    | spl0_360 ),
    inference(sat_conversion,[],[f46950]) ).

cnf(s3244,plain,
    ( spl0_193
    | ~ spl0_303
    | ~ spl0_337 ),
    inference(sat_conversion,[],[f46953]) ).

cnf(s3254,plain,
    ( spl0_205
    | ~ spl0_337 ),
    inference(sat_conversion,[],[f46964]) ).

cnf(s3257,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223
    | spl0_248
    | spl0_383 ),
    inference(sat_conversion,[],[f46994]) ).

cnf(s3259,plain,
    ( ~ spl0_29
    | ~ spl0_223
    | spl0_377
    | spl0_389 ),
    inference(sat_conversion,[],[f46998]) ).

cnf(s3271,plain,
    ( ~ spl0_303
    | ~ spl0_319
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f47216]) ).

cnf(s3273,plain,
    ( ~ spl0_103
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f47218]) ).

cnf(s3274,plain,
    ( ~ spl0_95
    | ~ spl0_163
    | spl0_273
    | ~ spl0_533 ),
    inference(sat_conversion,[],[f47219]) ).

cnf(s3275,plain,
    ( ~ spl0_63
    | ~ spl0_223
    | ~ spl0_345
    | ~ spl0_527 ),
    inference(sat_conversion,[],[f47220]) ).

cnf(s3276,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_466 ),
    inference(sat_conversion,[],[f47221]) ).

cnf(s3279,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_392
    | ~ spl0_528 ),
    inference(sat_conversion,[],[f47312]) ).

cnf(s3288,plain,
    ( ~ spl0_84
    | spl0_273
    | ~ spl0_301
    | ~ spl0_421
    | spl0_513 ),
    inference(sat_conversion,[],[f47450]) ).

cnf(s3294,plain,
    ( ~ spl0_206
    | ~ spl0_365
    | ~ spl0_442
    | spl0_544 ),
    inference(sat_conversion,[],[f47458]) ).

cnf(s3296,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f47460]) ).

cnf(s3305,plain,
    ( ~ spl0_11
    | spl0_193
    | spl0_201
    | spl0_202
    | spl0_368 ),
    inference(sat_conversion,[],[f47476]) ).

cnf(s3306,plain,
    ( ~ spl0_41
    | ~ spl0_200
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f47478]) ).

cnf(s3310,plain,
    ( ~ spl0_11
    | ~ spl0_41
    | spl0_201
    | ~ spl0_344
    | spl0_500 ),
    inference(sat_conversion,[],[f47488]) ).

cnf(s3312,plain,
    ( ~ spl0_11
    | spl0_193
    | spl0_201
    | ~ spl0_367 ),
    inference(sat_conversion,[],[f47491]) ).

cnf(s3314,plain,
    ( ~ spl0_11
    | spl0_193
    | spl0_201
    | ~ spl0_365 ),
    inference(sat_conversion,[],[f47493]) ).

cnf(s3315,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_47
    | spl0_201
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f47494]) ).

cnf(s3318,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_206
    | spl0_243
    | spl0_370 ),
    inference(sat_conversion,[],[f47518]) ).

cnf(s3332,plain,
    ( ~ spl0_273
    | ~ spl0_303
    | ~ spl0_420
    | spl0_495 ),
    inference(sat_conversion,[],[f47781]) ).

cnf(s3334,plain,
    ( ~ spl0_195
    | ~ spl0_361
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f47879]) ).

cnf(s3336,plain,
    ( ~ spl0_206
    | ~ spl0_345
    | ~ spl0_365
    | ~ spl0_390 ),
    inference(sat_conversion,[],[f47971]) ).

cnf(s3339,plain,
    ( ~ spl0_195
    | ~ spl0_326
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f48005]) ).

cnf(s3340,plain,
    ( ~ spl0_193
    | ~ spl0_274
    | ~ spl0_392
    | ~ spl0_477 ),
    inference(sat_conversion,[],[f48007]) ).

cnf(s3342,plain,
    ( ~ spl0_193
    | ~ spl0_366
    | ~ spl0_392
    | ~ spl0_487 ),
    inference(sat_conversion,[],[f48081]) ).

cnf(s3343,plain,
    ( ~ spl0_193
    | ~ spl0_366
    | ~ spl0_395
    | ~ spl0_488 ),
    inference(sat_conversion,[],[f48082]) ).

cnf(s3353,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_100
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f48138]) ).

cnf(s3357,plain,
    ( ~ spl0_42
    | spl0_83
    | ~ spl0_99
    | spl0_121 ),
    inference(sat_conversion,[],[f48167]) ).

cnf(s3358,plain,
    ( ~ spl0_29
    | spl0_83
    | ~ spl0_99
    | spl0_119 ),
    inference(sat_conversion,[],[f48168]) ).

cnf(s3362,plain,
    ( ~ spl0_1
    | ~ spl0_87
    | spl0_543 ),
    inference(sat_conversion,[],[f48185]) ).

cnf(s3376,plain,
    ( ~ spl0_361
    | ~ spl0_395
    | ~ spl0_495 ),
    inference(sat_conversion,[],[f48523]) ).

cnf(s3378,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | spl0_102
    | ~ spl0_500 ),
    inference(sat_conversion,[],[f48547]) ).

cnf(s3414,plain,
    ( ~ spl0_313
    | ~ spl0_365
    | ~ spl0_414
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f49291]) ).

cnf(s3430,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_367
    | ~ spl0_391
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f49974]) ).

cnf(s3432,plain,
    ( ~ spl0_62
    | spl0_346
    | ~ spl0_381
    | ~ spl0_522 ),
    inference(sat_conversion,[],[f49978]) ).

cnf(s3436,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | ~ spl0_428
    | ~ spl0_524 ),
    inference(sat_conversion,[],[f49985]) ).

cnf(s3438,plain,
    ( ~ spl0_196
    | ~ spl0_273
    | ~ spl0_370
    | ~ spl0_543 ),
    inference(sat_conversion,[],[f49988]) ).

cnf(s3442,plain,
    ( ~ spl0_323
    | ~ spl0_364
    | ~ spl0_442
    | spl0_548 ),
    inference(sat_conversion,[],[f49998]) ).

cnf(s3446,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_479 ),
    inference(sat_conversion,[],[f50005]) ).

cnf(s3453,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_306
    | spl0_322
    | spl0_348 ),
    inference(sat_conversion,[],[f50015]) ).

cnf(s3461,plain,
    ( ~ spl0_225
    | spl0_249
    | spl0_348 ),
    inference(sat_conversion,[],[f50133]) ).

cnf(s3463,plain,
    ( spl0_346
    | spl0_428 ),
    inference(sat_conversion,[],[f50173]) ).

cnf(s3467,plain,
    ( ~ spl0_197
    | ~ spl0_363
    | spl0_433 ),
    inference(sat_conversion,[],[f50285]) ).

cnf(s3472,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_310
    | ~ spl0_532 ),
    inference(sat_conversion,[],[f50431]) ).

cnf(s3474,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_200
    | ~ spl0_529 ),
    inference(sat_conversion,[],[f50544]) ).

cnf(s3481,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | spl0_552 ),
    inference(sat_conversion,[],[f50693]) ).

cnf(s3483,plain,
    ( ~ spl0_306
    | ~ spl0_363
    | ~ spl0_377
    | spl0_493 ),
    inference(sat_conversion,[],[f50767]) ).

cnf(s3494,plain,
    ( spl0_360
    | ~ spl0_388
    | spl0_390
    | ~ spl0_478 ),
    inference(sat_conversion,[],[f51126]) ).

cnf(s3496,plain,
    ( ~ spl0_365
    | spl0_392
    | spl0_501 ),
    inference(sat_conversion,[],[f51209]) ).

cnf(s3497,plain,
    ( ~ spl0_301
    | ~ spl0_311
    | ~ spl0_396
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f51211]) ).

cnf(s3498,plain,
    ( spl0_192
    | spl0_340
    | ~ spl0_345
    | ~ spl0_454 ),
    inference(sat_conversion,[],[f51212]) ).

cnf(s3499,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f51213]) ).

cnf(s3500,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f51214]) ).

cnf(s3501,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_459
    | spl0_537 ),
    inference(sat_conversion,[],[f51216]) ).

cnf(s3502,plain,
    ( spl0_192
    | ~ spl0_362
    | spl0_453 ),
    inference(sat_conversion,[],[f51217]) ).

cnf(s3508,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f51227]) ).

cnf(s3510,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | spl0_370
    | ~ spl0_394 ),
    inference(sat_conversion,[],[f51232]) ).

cnf(s3511,plain,
    ( ~ spl0_32
    | ~ spl0_62
    | spl0_370
    | ~ spl0_506 ),
    inference(sat_conversion,[],[f51234]) ).

cnf(s3513,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f51236]) ).

cnf(s3515,plain,
    ( ~ spl0_313
    | ~ spl0_365
    | ~ spl0_440
    | spl0_544 ),
    inference(sat_conversion,[],[f51242]) ).

cnf(s3516,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_370
    | ~ spl0_549 ),
    inference(sat_conversion,[],[f51243]) ).

cnf(s3523,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24
    | spl0_47
    | ~ spl0_306
    | spl0_348 ),
    inference(sat_conversion,[],[f51254]) ).

cnf(s3539,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f51502]) ).

cnf(s3541,plain,
    ( ~ spl0_365
    | spl0_395
    | spl0_411 ),
    inference(sat_conversion,[],[f51504]) ).

cnf(s3545,plain,
    ( ~ spl0_365
    | spl0_392
    | spl0_501 ),
    inference(sat_conversion,[],[f51511]) ).

cnf(s3547,plain,
    ( spl0_192
    | ~ spl0_365
    | spl0_560 ),
    inference(sat_conversion,[],[f51517]) ).

cnf(s3549,plain,
    ( spl0_392
    | ~ spl0_429
    | ~ spl0_454
    | spl0_482 ),
    inference(sat_conversion,[],[f51519]) ).

cnf(s3550,plain,
    ( spl0_395
    | ~ spl0_454
    | ~ spl0_469
    | spl0_481 ),
    inference(sat_conversion,[],[f51522]) ).

cnf(s3551,plain,
    ( ~ spl0_223
    | ~ spl0_367
    | ~ spl0_436
    | ~ spl0_524 ),
    inference(sat_conversion,[],[f51523]) ).

cnf(s3552,plain,
    ( ~ spl0_367
    | ~ spl0_372
    | ~ spl0_436
    | ~ spl0_557 ),
    inference(sat_conversion,[],[f51527]) ).

cnf(s3553,plain,
    ( spl0_196
    | ~ spl0_223
    | ~ spl0_365
    | spl0_390 ),
    inference(sat_conversion,[],[f51528]) ).

cnf(s3555,plain,
    ( ~ spl0_4
    | spl0_371
    | ~ spl0_486
    | spl0_561 ),
    inference(sat_conversion,[],[f51534]) ).

cnf(s3561,plain,
    ( spl0_195
    | ~ spl0_443
    | ~ spl0_454
    | spl0_524 ),
    inference(sat_conversion,[],[f51545]) ).

cnf(s3563,plain,
    ( ~ spl0_63
    | ~ spl0_223
    | ~ spl0_380
    | spl0_562 ),
    inference(sat_conversion,[],[f51585]) ).

cnf(s3576,plain,
    ( ~ spl0_363
    | ~ spl0_401
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f51792]) ).

cnf(s3577,plain,
    ( spl0_315
    | ~ spl0_365
    | ~ spl0_367
    | spl0_399 ),
    inference(sat_conversion,[],[f51891]) ).

cnf(s3578,plain,
    ( ~ spl0_95
    | spl0_200
    | spl0_310
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(sat_conversion,[],[f51912]) ).

cnf(s3579,plain,
    ( ~ spl0_32
    | spl0_200
    | spl0_315
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(sat_conversion,[],[f51913]) ).

cnf(s3580,plain,
    ( ~ spl0_302
    | ~ spl0_366
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f51914]) ).

cnf(s3581,plain,
    ( ~ spl0_206
    | ~ spl0_367
    | ~ spl0_396
    | ~ spl0_553 ),
    inference(sat_conversion,[],[f51915]) ).

cnf(s3583,plain,
    ( spl0_192
    | ~ spl0_206
    | spl0_340
    | ~ spl0_367 ),
    inference(sat_conversion,[],[f51918]) ).

cnf(s3584,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_544 ),
    inference(sat_conversion,[],[f51919]) ).

cnf(s3585,plain,
    ( ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | spl0_493 ),
    inference(sat_conversion,[],[f51920]) ).

cnf(s3587,plain,
    ( spl0_392
    | ~ spl0_429
    | ~ spl0_544 ),
    inference(sat_conversion,[],[f51922]) ).

cnf(s3589,plain,
    ( ~ spl0_66
    | spl0_196 ),
    inference(sat_conversion,[],[f51971]) ).

cnf(s3590,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_391
    | spl0_563 ),
    inference(sat_conversion,[],[f51975]) ).

cnf(s3595,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_315
    | ~ spl0_552 ),
    inference(sat_conversion,[],[f52037]) ).

cnf(s3599,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_399 ),
    inference(sat_conversion,[],[f52152]) ).

cnf(s3605,plain,
    ( ~ spl0_302
    | ~ spl0_315
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f52284]) ).

cnf(s3617,plain,
    ( ~ spl0_302
    | ~ spl0_310
    | ~ spl0_495 ),
    inference(sat_conversion,[],[f52365]) ).

cnf(s3618,plain,
    ( ~ spl0_23
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f52403]) ).

cnf(s3619,plain,
    ( ~ spl0_23
    | ~ spl0_192
    | ~ spl0_315
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f52404]) ).

cnf(s3621,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_397
    | spl0_566 ),
    inference(sat_conversion,[],[f52409]) ).

cnf(s3622,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_544 ),
    inference(sat_conversion,[],[f52411]) ).

cnf(s3625,plain,
    ( ~ spl0_223
    | ~ spl0_362
    | ~ spl0_486
    | spl0_548 ),
    inference(sat_conversion,[],[f52415]) ).

cnf(s3634,plain,
    ( ~ spl0_24
    | ~ spl0_86
    | ~ spl0_276
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f52510]) ).

cnf(s3635,plain,
    ( ~ spl0_84
    | spl0_324
    | ~ spl0_364
    | ~ spl0_393
    | spl0_522 ),
    inference(sat_conversion,[],[f52512]) ).

cnf(s3636,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | ~ spl0_389
    | spl0_395 ),
    inference(sat_conversion,[],[f52514]) ).

cnf(s3637,plain,
    ( ~ spl0_86
    | ~ spl0_100
    | ~ spl0_310
    | ~ spl0_487 ),
    inference(sat_conversion,[],[f52515]) ).

cnf(s3643,plain,
    ( ~ spl0_99
    | spl0_324
    | spl0_415
    | ~ spl0_486 ),
    inference(sat_conversion,[],[f52525]) ).

cnf(s3645,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_195
    | ~ spl0_389 ),
    inference(sat_conversion,[],[f52527]) ).

cnf(s3646,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_219
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f52528]) ).

cnf(s3652,plain,
    ( ~ spl0_184
    | ~ spl0_392
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f52610]) ).

cnf(s3656,plain,
    ( spl0_248
    | ~ spl0_346
    | spl0_348
    | ~ spl0_449 ),
    inference(sat_conversion,[],[f52627]) ).

cnf(s3663,plain,
    ( ~ spl0_7
    | ~ spl0_323
    | spl0_371
    | spl0_568 ),
    inference(sat_conversion,[],[f52668]) ).

cnf(s3664,plain,
    ( ~ spl0_364
    | spl0_371
    | spl0_374 ),
    inference(sat_conversion,[],[f52669]) ).

cnf(s3665,plain,
    ( spl0_200
    | ~ spl0_301
    | ~ spl0_308
    | spl0_416 ),
    inference(sat_conversion,[],[f52672]) ).

cnf(s3667,plain,
    ( ~ spl0_7
    | spl0_94
    | ~ spl0_99
    | spl0_106 ),
    inference(sat_conversion,[],[f52676]) ).

cnf(s3673,plain,
    ( ~ spl0_24
    | ~ spl0_346
    | ~ spl0_418
    | spl0_493 ),
    inference(sat_conversion,[],[f52713]) ).

cnf(s3682,plain,
    ( ~ spl0_192
    | ~ spl0_274
    | ~ spl0_383
    | ~ spl0_543 ),
    inference(sat_conversion,[],[f52854]) ).

cnf(s3691,plain,
    ( ~ spl0_87
    | ~ spl0_346
    | ~ spl0_420
    | spl0_495 ),
    inference(sat_conversion,[],[f52915]) ).

cnf(s3692,plain,
    ( ~ spl0_7
    | ~ spl0_206
    | ~ spl0_304
    | ~ spl0_308
    | ~ spl0_323
    | spl0_370 ),
    inference(sat_conversion,[],[f52983]) ).

cnf(s3693,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_486 ),
    inference(sat_conversion,[],[f53081]) ).

cnf(s3694,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_313
    | ~ spl0_568 ),
    inference(sat_conversion,[],[f53113]) ).

cnf(s3695,plain,
    ( ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f53136]) ).

cnf(s3706,plain,
    ( ~ spl0_303
    | ~ spl0_320
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f53219]) ).

cnf(s3710,plain,
    ( ~ spl0_4
    | spl0_195
    | ~ spl0_443
    | ~ spl0_562 ),
    inference(sat_conversion,[],[f53429]) ).

cnf(s3713,plain,
    ( ~ spl0_4
    | spl0_346
    | ~ spl0_443
    | ~ spl0_565 ),
    inference(sat_conversion,[],[f53638]) ).

cnf(s3716,plain,
    ( ~ spl0_32
    | spl0_418
    | ~ spl0_429
    | ~ spl0_561 ),
    inference(sat_conversion,[],[f53724]) ).

cnf(s3717,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f53743]) ).

cnf(s3718,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_309
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f53745]) ).

cnf(s3719,plain,
    ( ~ spl0_15
    | spl0_346
    | spl0_360 ),
    inference(sat_conversion,[],[f53746]) ).

cnf(s3721,plain,
    ( ~ spl0_15
    | spl0_196
    | spl0_200 ),
    inference(sat_conversion,[],[f53750]) ).

cnf(s3731,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | spl0_360
    | ~ spl0_558 ),
    inference(sat_conversion,[],[f53763]) ).

cnf(s3732,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | ~ spl0_273
    | ~ spl0_480 ),
    inference(sat_conversion,[],[f53764]) ).

cnf(s3734,plain,
    ( ~ spl0_303
    | ~ spl0_306
    | ~ spl0_309
    | spl0_493 ),
    inference(sat_conversion,[],[f53766]) ).

cnf(s3738,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_439
    | ~ spl0_549 ),
    inference(sat_conversion,[],[f53770]) ).

cnf(s3755,plain,
    ( ~ spl0_192
    | ~ spl0_361
    | ~ spl0_466 ),
    inference(sat_conversion,[],[f53956]) ).

cnf(s3768,plain,
    ( ~ spl0_192
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f54286]) ).

cnf(s3769,plain,
    ( ~ spl0_302
    | ~ spl0_348
    | ~ spl0_418
    | ~ spl0_487 ),
    inference(sat_conversion,[],[f54288]) ).

cnf(s3770,plain,
    ( ~ spl0_279
    | spl0_322
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f54325]) ).

cnf(s3771,plain,
    ( ~ spl0_37
    | ~ spl0_348
    | ~ spl0_418
    | spl0_466 ),
    inference(sat_conversion,[],[f54326]) ).

cnf(s3772,plain,
    ( ~ spl0_23
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_315
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f54329]) ).

cnf(s3775,plain,
    ( ~ spl0_223
    | ~ spl0_365
    | ~ spl0_372
    | ~ spl0_535 ),
    inference(sat_conversion,[],[f54365]) ).

cnf(s3777,plain,
    ( ~ spl0_95
    | ~ spl0_104
    | spl0_273
    | ~ spl0_537 ),
    inference(sat_conversion,[],[f54550]) ).

cnf(s3778,plain,
    ( ~ spl0_95
    | spl0_395
    | ~ spl0_396
    | ~ spl0_398 ),
    inference(sat_conversion,[],[f54551]) ).

cnf(s3779,plain,
    ( spl0_395
    | ~ spl0_469
    | ~ spl0_544 ),
    inference(sat_conversion,[],[f54552]) ).

cnf(s3780,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f54553]) ).

cnf(s3781,plain,
    ( ~ spl0_24
    | ~ spl0_86
    | ~ spl0_275
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f54554]) ).

cnf(s3782,plain,
    ( ~ spl0_83
    | ~ spl0_90
    | spl0_171 ),
    inference(sat_conversion,[],[f54590]) ).

cnf(s3783,plain,
    ( ~ spl0_87
    | ~ spl0_395
    | ~ spl0_420
    | ~ spl0_433 ),
    inference(sat_conversion,[],[f54681]) ).

cnf(s3784,plain,
    ( ~ spl0_364
    | ~ spl0_393
    | ~ spl0_439
    | ~ spl0_558 ),
    inference(sat_conversion,[],[f54711]) ).

cnf(s3790,plain,
    ( ~ spl0_1
    | ~ spl0_87
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f54759]) ).

cnf(s3794,plain,
    ( ~ spl0_145
    | ~ spl0_313
    | spl0_371
    | ~ spl0_566 ),
    inference(sat_conversion,[],[f54765]) ).

cnf(s3796,plain,
    ( ~ spl0_30
    | spl0_323
    | spl0_346 ),
    inference(sat_conversion,[],[f54872]) ).

cnf(s3798,plain,
    ( ~ spl0_364
    | ~ spl0_421
    | ~ spl0_505
    | ~ spl0_569 ),
    inference(sat_conversion,[],[f54933]) ).

cnf(s3799,plain,
    ( spl0_418
    | spl0_569 ),
    inference(sat_conversion,[],[f54946]) ).

cnf(s3800,plain,
    ( spl0_350
    | spl0_418
    | spl0_569 ),
    inference(sat_conversion,[],[f54947]) ).

cnf(s3805,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_196
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f55167]) ).

cnf(s3806,plain,
    ( ~ spl0_363
    | ~ spl0_371
    | ~ spl0_383
    | spl0_417 ),
    inference(sat_conversion,[],[f55168]) ).

cnf(s3807,plain,
    ( ~ spl0_94
    | spl0_122
    | ~ spl0_274
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f55170]) ).

cnf(s3808,plain,
    ( ~ spl0_203
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f55171]) ).

cnf(s3810,plain,
    ( ~ spl0_90
    | ~ spl0_94
    | spl0_543 ),
    inference(sat_conversion,[],[f55198]) ).

cnf(s3811,plain,
    ( ~ spl0_86
    | ~ spl0_94
    | spl0_130 ),
    inference(sat_conversion,[],[f55199]) ).

cnf(s3812,plain,
    ( ~ spl0_12
    | spl0_23 ),
    inference(sat_conversion,[],[f55223]) ).

cnf(s3813,plain,
    ( ~ spl0_83
    | ~ spl0_86
    | spl0_134 ),
    inference(sat_conversion,[],[f55255]) ).

cnf(s3819,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_11 ),
    inference(sat_conversion,[],[f55290]) ).

cnf(s3820,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f55292]) ).

cnf(s3821,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_192
    | ~ spl0_250 ),
    inference(sat_conversion,[],[f55293]) ).

cnf(s3825,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f55302]) ).

cnf(s3830,plain,
    ( ~ spl0_367
    | ~ spl0_381
    | ~ spl0_388
    | ~ spl0_537 ),
    inference(sat_conversion,[],[f55308]) ).

cnf(s3832,plain,
    ( ~ spl0_14
    | ~ spl0_367
    | spl0_370
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f55310]) ).

cnf(s3833,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | ~ spl0_396
    | ~ spl0_555 ),
    inference(sat_conversion,[],[f55311]) ).

cnf(s3841,plain,
    ( ~ spl0_196
    | spl0_198
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f55353]) ).

cnf(s3843,plain,
    ( ~ spl0_365
    | ~ spl0_372
    | ~ spl0_381
    | ~ spl0_483 ),
    inference(sat_conversion,[],[f55434]) ).

cnf(s3852,plain,
    ( ~ spl0_86
    | ~ spl0_274
    | ~ spl0_401 ),
    inference(sat_conversion,[],[f55476]) ).

cnf(s3857,plain,
    ( spl0_193
    | spl0_249
    | spl0_392
    | ~ spl0_451 ),
    inference(sat_conversion,[],[f55575]) ).

cnf(s3858,plain,
    ( spl0_201
    | spl0_247
    | spl0_315
    | ~ spl0_451 ),
    inference(sat_conversion,[],[f55576]) ).

cnf(s3863,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_196
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f55697]) ).

cnf(s3865,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_192
    | ~ spl0_195
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f55749]) ).

cnf(s3866,plain,
    ( ~ spl0_63
    | spl0_196
    | ~ spl0_399 ),
    inference(sat_conversion,[],[f55753]) ).

cnf(s3867,plain,
    ( ~ spl0_83
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f55754]) ).

cnf(s3868,plain,
    ( ~ spl0_110
    | spl0_310
    | ~ spl0_399 ),
    inference(sat_conversion,[],[f55755]) ).

cnf(s3875,plain,
    ( ~ spl0_367
    | ~ spl0_372
    | ~ spl0_468
    | ~ spl0_556 ),
    inference(sat_conversion,[],[f55961]) ).

cnf(s3878,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f56027]) ).

cnf(s3881,plain,
    ( ~ spl0_90
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_310
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f56078]) ).

cnf(s3882,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | ~ spl0_373
    | spl0_383 ),
    inference(sat_conversion,[],[f56131]) ).

cnf(s3887,plain,
    ( ~ spl0_192
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f56306]) ).

cnf(s3899,plain,
    ( ~ spl0_304
    | ~ spl0_421
    | ~ spl0_506
    | ~ spl0_569 ),
    inference(sat_conversion,[],[f56448]) ).

cnf(s3901,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | ~ spl0_421
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f56449]) ).

cnf(s3903,plain,
    ( ~ spl0_301
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_512 ),
    inference(sat_conversion,[],[f56547]) ).

cnf(s3904,plain,
    ( ~ spl0_306
    | ~ spl0_363
    | ~ spl0_377
    | spl0_493 ),
    inference(sat_conversion,[],[f56549]) ).

cnf(s3907,plain,
    ( ~ spl0_192
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f56552]) ).

cnf(s3920,plain,
    ( ~ spl0_200
    | ~ spl0_302
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f56672]) ).

cnf(s3921,plain,
    ( ~ spl0_20
    | ~ spl0_383
    | ~ spl0_392
    | spl0_465 ),
    inference(sat_conversion,[],[f56673]) ).

cnf(s3922,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_468
    | ~ spl0_506 ),
    inference(sat_conversion,[],[f56674]) ).

cnf(s3923,plain,
    ( ~ spl0_224
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f56675]) ).

cnf(s3924,plain,
    ( ~ spl0_275
    | ~ spl0_302
    | ~ spl0_324
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f56676]) ).

cnf(s3933,plain,
    ( spl0_418
    | spl0_569 ),
    inference(sat_conversion,[],[f56759]) ).

cnf(s3950,plain,
    ( ~ spl0_223
    | ~ spl0_362
    | ~ spl0_393
    | ~ spl0_507 ),
    inference(sat_conversion,[],[f57083]) ).

cnf(s3951,plain,
    ( ~ spl0_134
    | ~ spl0_306
    | ~ spl0_324
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f57085]) ).

cnf(s3952,plain,
    ( ~ spl0_171
    | ~ spl0_306
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f57086]) ).

cnf(s3953,plain,
    ( ~ spl0_200
    | ~ spl0_366
    | ~ spl0_465 ),
    inference(sat_conversion,[],[f57087]) ).

cnf(s3966,plain,
    ( ~ spl0_83
    | ~ spl0_306
    | ~ spl0_495 ),
    inference(sat_conversion,[],[f57286]) ).

cnf(s3967,plain,
    ( ~ spl0_63
    | ~ spl0_323
    | ~ spl0_345
    | ~ spl0_513 ),
    inference(sat_conversion,[],[f57366]) ).

cnf(s3970,plain,
    ( ~ spl0_223
    | ~ spl0_367
    | spl0_560 ),
    inference(sat_conversion,[],[f57522]) ).

cnf(s3972,plain,
    ( ~ spl0_37
    | ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f57630]) ).

cnf(s3977,plain,
    ( ~ spl0_86
    | spl0_99
    | spl0_477 ),
    inference(sat_conversion,[],[f57635]) ).

cnf(s3980,plain,
    ( ~ spl0_165
    | spl0_274
    | ~ spl0_367
    | ~ spl0_396 ),
    inference(sat_conversion,[],[f57640]) ).

cnf(s3981,plain,
    ( ~ spl0_32
    | spl0_306
    | ~ spl0_307
    | ~ spl0_429 ),
    inference(sat_conversion,[],[f57641]) ).

cnf(s3984,plain,
    ( spl0_4
    | spl0_246 ),
    inference(sat_conversion,[],[f57656]) ).

cnf(s3986,plain,
    ( ~ spl0_86
    | ~ spl0_100
    | spl0_477 ),
    inference(sat_conversion,[],[f57669]) ).

cnf(s3997,plain,
    ( ~ spl0_171
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f57810]) ).

cnf(s4005,plain,
    ( ~ spl0_86
    | spl0_184
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f58135]) ).

cnf(s4012,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f58250]) ).

cnf(s4015,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f58254]) ).

cnf(s4017,plain,
    ( ~ spl0_5
    | ~ spl0_365
    | spl0_370
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f58259]) ).

cnf(s4019,plain,
    ( ~ spl0_134
    | ~ spl0_273
    | ~ spl0_309
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f58261]) ).

cnf(s4023,plain,
    ( ~ spl0_17
    | ~ spl0_192
    | ~ spl0_193
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f58292]) ).

cnf(s4025,plain,
    ( ~ spl0_348
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_528 ),
    inference(sat_conversion,[],[f58294]) ).

cnf(s4027,plain,
    ( ~ spl0_242
    | ~ spl0_348
    | ~ spl0_363
    | spl0_466 ),
    inference(sat_conversion,[],[f58297]) ).

cnf(s4031,plain,
    ( spl0_418
    | ~ spl0_429
    | ~ spl0_468
    | ~ spl0_548 ),
    inference(sat_conversion,[],[f58301]) ).

cnf(s4052,plain,
    ( spl0_6
    | ~ spl0_570 ),
    inference(sat_conversion,[],[f58525]) ).

cnf(s4063,plain,
    ( ~ spl0_362
    | ~ spl0_421
    | ~ spl0_430
    | ~ spl0_531 ),
    inference(sat_conversion,[],[f58685]) ).

cnf(s4067,plain,
    ( ~ spl0_302
    | ~ spl0_371
    | ~ spl0_420
    | ~ spl0_499 ),
    inference(sat_conversion,[],[f58690]) ).

cnf(s4068,plain,
    ( ~ spl0_304
    | spl0_420
    | spl0_422 ),
    inference(sat_conversion,[],[f58691]) ).

cnf(s4070,plain,
    ( ~ spl0_23
    | ~ spl0_377
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f58693]) ).

cnf(s4072,plain,
    ( ~ spl0_37
    | ~ spl0_348
    | ~ spl0_418
    | spl0_466 ),
    inference(sat_conversion,[],[f58696]) ).

cnf(s4076,plain,
    ( ~ spl0_10
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f58701]) ).

cnf(s4081,plain,
    ( ~ spl0_24
    | ~ spl0_315
    | ~ spl0_326
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f58707]) ).

cnf(s4109,plain,
    ( ~ spl0_20
    | ~ spl0_24
    | ~ spl0_224
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f59052]) ).

cnf(s4121,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_324
    | ~ spl0_512 ),
    inference(sat_conversion,[],[f59283]) ).

cnf(s4122,plain,
    ( ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383
    | spl0_387 ),
    inference(sat_conversion,[],[f59334]) ).

cnf(s4123,plain,
    ( ~ spl0_63
    | ~ spl0_314
    | ~ spl0_345
    | spl0_360 ),
    inference(sat_conversion,[],[f59398]) ).

cnf(s4124,plain,
    ( ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f59493]) ).

cnf(s4125,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f59495]) ).

cnf(s4129,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_305
    | ~ spl0_507 ),
    inference(sat_conversion,[],[f59557]) ).

cnf(s4131,plain,
    ( ~ spl0_19
    | ~ spl0_345
    | spl0_360
    | ~ spl0_561 ),
    inference(sat_conversion,[],[f59593]) ).

cnf(s4134,plain,
    ( ~ spl0_5
    | spl0_20
    | spl0_26 ),
    inference(sat_conversion,[],[f59597]) ).

cnf(s4135,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_242
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f59598]) ).

cnf(s4137,plain,
    ( spl0_31
    | spl0_41
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f59600]) ).

cnf(s4142,plain,
    ( ~ spl0_273
    | ~ spl0_303
    | ~ spl0_324
    | spl0_495 ),
    inference(sat_conversion,[],[f59607]) ).

cnf(s4144,plain,
    ( ~ spl0_10
    | spl0_206
    | ~ spl0_387 ),
    inference(sat_conversion,[],[f59609]) ).

cnf(s4146,plain,
    ( ~ spl0_10
    | spl0_31
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f59612]) ).

cnf(s4148,plain,
    ( ~ spl0_32
    | spl0_392
    | ~ spl0_429
    | ~ spl0_538 ),
    inference(sat_conversion,[],[f59615]) ).

cnf(s4158,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | spl0_273
    | ~ spl0_506 ),
    inference(sat_conversion,[],[f59625]) ).

cnf(s4165,plain,
    ( ~ spl0_110
    | ~ spl0_376
    | spl0_395
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f59633]) ).

cnf(s4172,plain,
    ( ~ spl0_20
    | ~ spl0_24
    | ~ spl0_250
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f59758]) ).

cnf(s4173,plain,
    ( ~ spl0_83
    | spl0_184
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f59791]) ).

cnf(s4183,plain,
    ( ~ spl0_24
    | ~ spl0_377
    | ~ spl0_465 ),
    inference(sat_conversion,[],[f59898]) ).

cnf(s4189,plain,
    ( ~ spl0_4
    | ~ spl0_19
    | ~ spl0_342
    | spl0_371 ),
    inference(sat_conversion,[],[f60024]) ).

cnf(s4191,plain,
    ( ~ spl0_31
    | spl0_418
    | ~ spl0_429
    | ~ spl0_565 ),
    inference(sat_conversion,[],[f60245]) ).

cnf(s4192,plain,
    ( ~ spl0_365
    | ~ spl0_373
    | ~ spl0_396
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f60276]) ).

cnf(s4195,plain,
    ( ~ spl0_305
    | ~ spl0_365
    | ~ spl0_380
    | spl0_544 ),
    inference(sat_conversion,[],[f60564]) ).

cnf(s4199,plain,
    ( ~ spl0_192
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_552 ),
    inference(sat_conversion,[],[f60611]) ).

cnf(s4205,plain,
    ( spl0_420
    | ~ spl0_439
    | ~ spl0_478
    | spl0_575 ),
    inference(sat_conversion,[],[f60736]) ).

cnf(s4207,plain,
    ( spl0_420
    | ~ spl0_439
    | ~ spl0_515
    | spl0_577 ),
    inference(sat_conversion,[],[f60865]) ).

cnf(s4208,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_515
    | spl0_578 ),
    inference(sat_conversion,[],[f60869]) ).

cnf(s4209,plain,
    ( spl0_346
    | spl0_414
    | ~ spl0_436
    | ~ spl0_515 ),
    inference(sat_conversion,[],[f60870]) ).

cnf(s4215,plain,
    ( ~ spl0_304
    | ~ spl0_305
    | ~ spl0_469
    | ~ spl0_558 ),
    inference(sat_conversion,[],[f60957]) ).

cnf(s4216,plain,
    ( ~ spl0_304
    | ~ spl0_305
    | ~ spl0_510
    | spl0_579 ),
    inference(sat_conversion,[],[f60963]) ).

cnf(s4221,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | spl0_451 ),
    inference(sat_conversion,[],[f61165]) ).

cnf(s4223,plain,
    ( ~ spl0_95
    | spl0_195
    | ~ spl0_367
    | spl0_395
    | spl0_581 ),
    inference(sat_conversion,[],[f61233]) ).

cnf(s4224,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | spl0_392
    | spl0_582 ),
    inference(sat_conversion,[],[f61275]) ).

cnf(s4225,plain,
    ( ~ spl0_110
    | ~ spl0_367
    | spl0_392
    | spl0_395
    | spl0_583 ),
    inference(sat_conversion,[],[f61279]) ).

cnf(s4228,plain,
    ( spl0_418
    | ~ spl0_426
    | ~ spl0_468
    | spl0_505 ),
    inference(sat_conversion,[],[f61436]) ).

cnf(s4229,plain,
    ( spl0_420
    | ~ spl0_426
    | ~ spl0_439
    | spl0_585 ),
    inference(sat_conversion,[],[f61440]) ).

cnf(s4230,plain,
    ( spl0_346
    | ~ spl0_426
    | ~ spl0_436
    | spl0_586 ),
    inference(sat_conversion,[],[f61444]) ).

cnf(s4231,plain,
    ( ~ spl0_304
    | ~ spl0_367
    | ~ spl0_426
    | spl0_580 ),
    inference(sat_conversion,[],[f61445]) ).

cnf(s4232,plain,
    ( ~ spl0_304
    | ~ spl0_317
    | ~ spl0_396
    | spl0_415 ),
    inference(sat_conversion,[],[f61565]) ).

cnf(s4233,plain,
    ( ~ spl0_145
    | ~ spl0_317
    | spl0_346
    | spl0_587 ),
    inference(sat_conversion,[],[f61570]) ).

cnf(s4234,plain,
    ( spl0_418
    | ~ spl0_427
    | ~ spl0_468
    | spl0_588 ),
    inference(sat_conversion,[],[f61599]) ).

cnf(s4235,plain,
    ( spl0_346
    | ~ spl0_427
    | ~ spl0_436
    | spl0_589 ),
    inference(sat_conversion,[],[f61603]) ).

cnf(s4237,plain,
    ( ~ spl0_362
    | spl0_418
    | spl0_511 ),
    inference(sat_conversion,[],[f61725]) ).

cnf(s4238,plain,
    ( spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_428 ),
    inference(sat_conversion,[],[f61770]) ).

cnf(s4239,plain,
    ( ~ spl0_145
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | spl0_395 ),
    inference(sat_conversion,[],[f61771]) ).

cnf(s4240,plain,
    ( ~ spl0_95
    | spl0_324
    | spl0_415
    | ~ spl0_491 ),
    inference(sat_conversion,[],[f61772]) ).

cnf(s4241,plain,
    ( ~ spl0_313
    | ~ spl0_367
    | ~ spl0_396
    | ~ spl0_554 ),
    inference(sat_conversion,[],[f61773]) ).

cnf(s4242,plain,
    ( spl0_311
    | ~ spl0_312
    | ~ spl0_362
    | spl0_395 ),
    inference(sat_conversion,[],[f61775]) ).

cnf(s4244,plain,
    ( ~ spl0_308
    | ~ spl0_364
    | ~ spl0_430
    | ~ spl0_577 ),
    inference(sat_conversion,[],[f61777]) ).

cnf(s4247,plain,
    ( ~ spl0_312
    | ~ spl0_364
    | ~ spl0_428
    | ~ spl0_589 ),
    inference(sat_conversion,[],[f61780]) ).

cnf(s4249,plain,
    ( spl0_195
    | ~ spl0_308
    | ~ spl0_362
    | spl0_416 ),
    inference(sat_conversion,[],[f61783]) ).

cnf(s4251,plain,
    ( ~ spl0_35
    | ~ spl0_306
    | ~ spl0_346
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f61785]) ).

cnf(s4252,plain,
    ( spl0_195
    | ~ spl0_367
    | spl0_590 ),
    inference(sat_conversion,[],[f61789]) ).

cnf(s4253,plain,
    ( ~ spl0_367
    | spl0_395
    | spl0_591 ),
    inference(sat_conversion,[],[f61794]) ).

cnf(s4256,plain,
    ( spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | spl0_593 ),
    inference(sat_conversion,[],[f61803]) ).

cnf(s4257,plain,
    ( spl0_195
    | ~ spl0_313
    | ~ spl0_367
    | spl0_423 ),
    inference(sat_conversion,[],[f61804]) ).

cnf(s4258,plain,
    ( ~ spl0_366
    | ~ spl0_383
    | ~ spl0_395
    | ~ spl0_499 ),
    inference(sat_conversion,[],[f61806]) ).

cnf(s4260,plain,
    ( ~ spl0_35
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f61809]) ).

cnf(s4262,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | spl0_274
    | ~ spl0_414 ),
    inference(sat_conversion,[],[f61812]) ).

cnf(s4263,plain,
    ( ~ spl0_362
    | ~ spl0_364
    | spl0_395
    | spl0_594 ),
    inference(sat_conversion,[],[f61816]) ).

cnf(s4264,plain,
    ( ~ spl0_318
    | ~ spl0_362
    | ~ spl0_372
    | spl0_548 ),
    inference(sat_conversion,[],[f61817]) ).

cnf(s4265,plain,
    ( ~ spl0_312
    | ~ spl0_362
    | ~ spl0_379
    | spl0_425 ),
    inference(sat_conversion,[],[f61818]) ).

cnf(s4266,plain,
    ( ~ spl0_110
    | spl0_324
    | spl0_425
    | ~ spl0_435 ),
    inference(sat_conversion,[],[f61819]) ).

cnf(s4267,plain,
    ( ~ spl0_4
    | spl0_383
    | ~ spl0_442
    | spl0_538 ),
    inference(sat_conversion,[],[f61820]) ).

cnf(s4269,plain,
    ( spl0_373
    | spl0_420
    | ~ spl0_427
    | ~ spl0_439 ),
    inference(sat_conversion,[],[f61822]) ).

cnf(s4271,plain,
    ( ~ spl0_312
    | ~ spl0_364
    | ~ spl0_569
    | ~ spl0_588 ),
    inference(sat_conversion,[],[f61824]) ).

cnf(s4272,plain,
    ( ~ spl0_99
    | spl0_324
    | spl0_425
    | ~ spl0_453 ),
    inference(sat_conversion,[],[f61825]) ).

cnf(s4273,plain,
    ( ~ spl0_95
    | spl0_324
    | spl0_425
    | ~ spl0_460 ),
    inference(sat_conversion,[],[f61827]) ).

cnf(s4274,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | ~ spl0_569
    | ~ spl0_582 ),
    inference(sat_conversion,[],[f61828]) ).

cnf(s4278,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_362
    | ~ spl0_375 ),
    inference(sat_conversion,[],[f61832]) ).

cnf(s4279,plain,
    ( ~ spl0_308
    | ~ spl0_364
    | ~ spl0_569
    | ~ spl0_578 ),
    inference(sat_conversion,[],[f61833]) ).

cnf(s4280,plain,
    ( ~ spl0_362
    | ~ spl0_381
    | ~ spl0_491
    | spl0_548 ),
    inference(sat_conversion,[],[f61834]) ).

cnf(s4282,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_274
    | ~ spl0_586 ),
    inference(sat_conversion,[],[f61839]) ).

cnf(s4284,plain,
    ( ~ spl0_195
    | ~ spl0_224
    | ~ spl0_366
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f61841]) ).

cnf(s4286,plain,
    ( ~ spl0_362
    | ~ spl0_381
    | ~ spl0_460
    | spl0_596 ),
    inference(sat_conversion,[],[f61846]) ).

cnf(s4287,plain,
    ( ~ spl0_308
    | ~ spl0_364
    | ~ spl0_414
    | ~ spl0_428 ),
    inference(sat_conversion,[],[f61847]) ).

cnf(s4288,plain,
    ( ~ spl0_308
    | ~ spl0_312
    | ~ spl0_362
    | ~ spl0_554 ),
    inference(sat_conversion,[],[f61848]) ).

cnf(s4295,plain,
    ( ~ spl0_32
    | ~ spl0_145
    | spl0_383
    | ~ spl0_588 ),
    inference(sat_conversion,[],[f61855]) ).

cnf(s4296,plain,
    ( ~ spl0_110
    | ~ spl0_316
    | spl0_324
    | spl0_415 ),
    inference(sat_conversion,[],[f61856]) ).

cnf(s4299,plain,
    ( ~ spl0_193
    | ~ spl0_195
    | ~ spl0_217
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f61859]) ).

cnf(s4300,plain,
    ( ~ spl0_304
    | ~ spl0_312
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_427 ),
    inference(sat_conversion,[],[f61860]) ).

cnf(s4301,plain,
    ( spl0_10
    | ~ spl0_11
    | spl0_20
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f61862]) ).

cnf(s4303,plain,
    ( ~ spl0_31
    | ~ spl0_99
    | spl0_196
    | ~ spl0_583 ),
    inference(sat_conversion,[],[f61865]) ).

cnf(s4305,plain,
    ( spl0_346
    | ~ spl0_362
    | spl0_374 ),
    inference(sat_conversion,[],[f61867]) ).

cnf(s4313,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_94
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f61916]) ).

cnf(s4314,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_83
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f61918]) ).

cnf(s4315,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_94
    | spl0_99 ),
    inference(sat_conversion,[],[f61919]) ).

cnf(s4316,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_367
    | spl0_598 ),
    inference(sat_conversion,[],[f61923]) ).

cnf(s4317,plain,
    ( ~ spl0_367
    | spl0_392
    | spl0_599 ),
    inference(sat_conversion,[],[f61928]) ).

cnf(s4322,plain,
    ( ~ spl0_104
    | spl0_192
    | ~ spl0_345
    | ~ spl0_375 ),
    inference(sat_conversion,[],[f61933]) ).

cnf(s4323,plain,
    ( ~ spl0_58
    | ~ spl0_305
    | ~ spl0_367
    | spl0_377 ),
    inference(sat_conversion,[],[f61934]) ).

cnf(s4324,plain,
    ( spl0_192
    | ~ spl0_367
    | spl0_600 ),
    inference(sat_conversion,[],[f61938]) ).

cnf(s4326,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206
    | spl0_309 ),
    inference(sat_conversion,[],[f61966]) ).

cnf(s4338,plain,
    ( ~ spl0_90
    | ~ spl0_100
    | ~ spl0_395
    | ~ spl0_528 ),
    inference(sat_conversion,[],[f62073]) ).

cnf(s4339,plain,
    ( spl0_20
    | spl0_23
    | spl0_36
    | ~ spl0_570 ),
    inference(sat_conversion,[],[f62106]) ).

cnf(s4340,plain,
    ( spl0_196
    | spl0_243
    | spl0_370
    | ~ spl0_570 ),
    inference(sat_conversion,[],[f62107]) ).

cnf(s4341,plain,
    ( spl0_351
    | spl0_360
    | spl0_371
    | ~ spl0_570 ),
    inference(sat_conversion,[],[f62108]) ).

cnf(s4342,plain,
    ( spl0_196
    | ~ spl0_199
    | spl0_224
    | spl0_243
    | ~ spl0_570 ),
    inference(sat_conversion,[],[f62109]) ).

cnf(s4351,plain,
    ( ~ spl0_315
    | ~ spl0_366
    | ~ spl0_401 ),
    inference(sat_conversion,[],[f62196]) ).

cnf(s4352,plain,
    ( ~ spl0_367
    | ~ spl0_372
    | ~ spl0_388
    | ~ spl0_559 ),
    inference(sat_conversion,[],[f62320]) ).

cnf(s4357,plain,
    ( ~ spl0_94
    | ~ spl0_383
    | ~ spl0_395
    | spl0_465 ),
    inference(sat_conversion,[],[f62368]) ).

cnf(s4358,plain,
    ( ~ spl0_365
    | ~ spl0_367
    | ~ spl0_388
    | ~ spl0_598 ),
    inference(sat_conversion,[],[f62369]) ).

cnf(s4360,plain,
    ( ~ spl0_367
    | ~ spl0_381
    | ~ spl0_423
    | ~ spl0_436 ),
    inference(sat_conversion,[],[f62371]) ).

cnf(s4368,plain,
    ( ~ spl0_301
    | ~ spl0_430
    | ~ spl0_569
    | ~ spl0_583 ),
    inference(sat_conversion,[],[f62609]) ).

cnf(s4383,plain,
    ( ~ spl0_8
    | spl0_90
    | spl0_99 ),
    inference(sat_conversion,[],[f62740]) ).

cnf(s4385,plain,
    ( ~ spl0_8
    | spl0_192
    | spl0_223 ),
    inference(sat_conversion,[],[f62743]) ).

cnf(s4391,plain,
    ( ~ spl0_304
    | ~ spl0_308
    | ~ spl0_424
    | ~ spl0_537 ),
    inference(sat_conversion,[],[f62810]) ).

cnf(s4395,plain,
    ( ~ spl0_31
    | spl0_315
    | spl0_341
    | ~ spl0_560 ),
    inference(sat_conversion,[],[f62814]) ).

cnf(s4397,plain,
    ( ~ spl0_31
    | spl0_376
    | spl0_377
    | ~ spl0_442 ),
    inference(sat_conversion,[],[f62816]) ).

cnf(s4399,plain,
    ( ~ spl0_31
    | ~ spl0_163
    | spl0_315
    | ~ spl0_535 ),
    inference(sat_conversion,[],[f62820]) ).

cnf(s4409,plain,
    ( ~ spl0_66
    | spl0_192 ),
    inference(sat_conversion,[],[f62860]) ).

cnf(s4410,plain,
    ( ~ spl0_66
    | spl0_90 ),
    inference(sat_conversion,[],[f62863]) ).

cnf(s4427,plain,
    ( spl0_420
    | ~ spl0_439
    | ~ spl0_596 ),
    inference(sat_conversion,[],[f63188]) ).

cnf(s4432,plain,
    ( spl0_360
    | ~ spl0_388
    | ~ spl0_596 ),
    inference(sat_conversion,[],[f63300]) ).

cnf(s4433,plain,
    ( ~ spl0_367
    | ~ spl0_388
    | ~ spl0_393
    | ~ spl0_563 ),
    inference(sat_conversion,[],[f63301]) ).

cnf(s4435,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(sat_conversion,[],[f63303]) ).

cnf(s4436,plain,
    ( ~ spl0_306
    | ~ spl0_335
    | ~ spl0_346
    | ~ spl0_361 ),
    inference(sat_conversion,[],[f63304]) ).

cnf(s4437,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_552 ),
    inference(sat_conversion,[],[f63305]) ).

cnf(s4442,plain,
    ( ~ spl0_10
    | spl0_246 ),
    inference(sat_conversion,[],[f63320]) ).

cnf(s4452,plain,
    ( ~ spl0_10
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f63401]) ).

cnf(s4453,plain,
    ( ~ spl0_10
    | spl0_99
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f63404]) ).

cnf(s4475,plain,
    ( ~ spl0_323
    | ~ spl0_364
    | ~ spl0_428
    | ~ spl0_576 ),
    inference(sat_conversion,[],[f63653]) ).

cnf(s4476,plain,
    ( ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f63739]) ).

cnf(s4477,plain,
    ( ~ spl0_1
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_195
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f63741]) ).

cnf(s4478,plain,
    ( ~ spl0_239
    | ~ spl0_303
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f63742]) ).

cnf(s4480,plain,
    ( ~ spl0_203
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f63745]) ).

cnf(s4484,plain,
    ( ~ spl0_6
    | spl0_90
    | spl0_94 ),
    inference(sat_conversion,[],[f63768]) ).

cnf(s4485,plain,
    ( ~ spl0_6
    | spl0_23
    | spl0_35
    | ~ spl0_279 ),
    inference(sat_conversion,[],[f63769]) ).

cnf(s4486,plain,
    ( spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f63770]) ).

cnf(s4489,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_206
    | spl0_370 ),
    inference(sat_conversion,[],[f63789]) ).

cnf(s4499,plain,
    ( ~ spl0_365
    | ~ spl0_378
    | ~ spl0_396
    | spl0_544 ),
    inference(sat_conversion,[],[f63933]) ).

cnf(s4500,plain,
    ( ~ spl0_365
    | ~ spl0_436
    | ~ spl0_439
    | ~ spl0_581 ),
    inference(sat_conversion,[],[f63935]) ).

cnf(s4504,plain,
    ( ~ spl0_223
    | ~ spl0_341
    | ~ spl0_365
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f63938]) ).

cnf(s4505,plain,
    ( ~ spl0_223
    | ~ spl0_365
    | ~ spl0_560
    | spl0_562 ),
    inference(sat_conversion,[],[f63939]) ).

cnf(s4506,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_344 ),
    inference(sat_conversion,[],[f63940]) ).

cnf(s4510,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | spl0_17 ),
    inference(sat_conversion,[],[f63957]) ).

cnf(s4519,plain,
    ( ~ spl0_199
    | ~ spl0_368
    | spl0_385 ),
    inference(sat_conversion,[],[f64053]) ).

cnf(s4528,plain,
    ( ~ spl0_301
    | ~ spl0_428
    | ~ spl0_430
    | ~ spl0_581 ),
    inference(sat_conversion,[],[f64159]) ).

cnf(s4540,plain,
    ( ~ spl0_1
    | ~ spl0_87
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f64669]) ).

cnf(s4541,plain,
    ( ~ spl0_95
    | spl0_420
    | ~ spl0_439
    | ~ spl0_592 ),
    inference(sat_conversion,[],[f64762]) ).

cnf(s4543,plain,
    ( ~ spl0_110
    | spl0_324
    | ~ spl0_469
    | ~ spl0_513 ),
    inference(sat_conversion,[],[f64821]) ).

cnf(s4626,plain,
    ( ~ spl0_274
    | ~ spl0_324
    | ~ spl0_363
    | spl0_495 ),
    inference(sat_conversion,[],[f65778]) ).

cnf(s4630,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | ~ spl0_223
    | ~ spl0_585 ),
    inference(sat_conversion,[],[f65783]) ).

cnf(s4631,plain,
    ( ~ spl0_145
    | spl0_195
    | ~ spl0_375
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f65785]) ).

cnf(s4632,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f65786]) ).

cnf(s4636,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | ~ spl0_206
    | ~ spl0_549 ),
    inference(sat_conversion,[],[f65790]) ).

cnf(s4643,plain,
    ( ~ spl0_63
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_580 ),
    inference(sat_conversion,[],[f65798]) ).

cnf(s4644,plain,
    ( ~ spl0_196
    | ~ spl0_203
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f65800]) ).

cnf(s4646,plain,
    ( ~ spl0_99
    | spl0_395
    | ~ spl0_469
    | ~ spl0_562 ),
    inference(sat_conversion,[],[f65802]) ).

cnf(s4647,plain,
    ( ~ spl0_63
    | ~ spl0_206
    | spl0_360
    | ~ spl0_579 ),
    inference(sat_conversion,[],[f65803]) ).

cnf(s4649,plain,
    ( ~ spl0_200
    | ~ spl0_309
    | ~ spl0_335
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f65805]) ).

cnf(s4650,plain,
    ( ~ spl0_100
    | spl0_103
    | spl0_223
    | ~ spl0_274 ),
    inference(sat_conversion,[],[f65806]) ).

cnf(s4653,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_273
    | ~ spl0_274
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f65809]) ).

cnf(s4658,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | spl0_195
    | ~ spl0_553 ),
    inference(sat_conversion,[],[f65814]) ).

cnf(s4659,plain,
    ( ~ spl0_23
    | ~ spl0_196
    | ~ spl0_315
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f65815]) ).

cnf(s4660,plain,
    ( ~ spl0_321
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f65816]) ).

cnf(s4661,plain,
    ( ~ spl0_195
    | ~ spl0_322
    | ~ spl0_363
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f65817]) ).

cnf(s4662,plain,
    ( ~ spl0_24
    | ~ spl0_315
    | ~ spl0_385
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f65819]) ).

cnf(s4663,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | spl0_321
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f65820]) ).

cnf(s4672,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | spl0_103
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f65857]) ).

cnf(s4685,plain,
    ( ~ spl0_360
    | ~ spl0_363
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f65972]) ).

cnf(s4686,plain,
    ( ~ spl0_196
    | ~ spl0_366
    | ~ spl0_386 ),
    inference(sat_conversion,[],[f65974]) ).

cnf(s4698,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_23
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f66217]) ).

cnf(s4699,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | ~ spl0_309
    | ~ spl0_322 ),
    inference(sat_conversion,[],[f66218]) ).

cnf(s4708,plain,
    ( ~ spl0_196
    | spl0_206
    | spl0_552 ),
    inference(sat_conversion,[],[f66274]) ).

cnf(s4713,plain,
    ( ~ spl0_66
    | spl0_360 ),
    inference(sat_conversion,[],[f66311]) ).

cnf(s4726,plain,
    ( ~ spl0_192
    | ~ spl0_319
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f66398]) ).

cnf(s4750,plain,
    ( ~ spl0_320
    | ~ spl0_368
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f66607]) ).

cnf(s4752,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f66609]) ).

cnf(s4766,plain,
    ( ~ spl0_17
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f66697]) ).

cnf(s4768,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_322
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f66699]) ).

cnf(s4785,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | spl0_86
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f66842]) ).

cnf(s4787,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_322
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f66845]) ).

cnf(s4788,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_23
    | ~ spl0_322 ),
    inference(sat_conversion,[],[f66866]) ).

cnf(s4798,plain,
    ( ~ spl0_31
    | ~ spl0_163
    | spl0_392
    | ~ spl0_553 ),
    inference(sat_conversion,[],[f67117]) ).

cnf(s4800,plain,
    ( ~ spl0_304
    | ~ spl0_313
    | ~ spl0_396
    | ~ spl0_587 ),
    inference(sat_conversion,[],[f67246]) ).

cnf(s4810,plain,
    ( ~ spl0_273
    | ~ spl0_302
    | spl0_321
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f67554]) ).

cnf(s4817,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | spl0_560 ),
    inference(sat_conversion,[],[f67684]) ).

cnf(s4819,plain,
    ( ~ spl0_32
    | ~ spl0_305
    | spl0_418
    | ~ spl0_441 ),
    inference(sat_conversion,[],[f67686]) ).

cnf(s4820,plain,
    ( ~ spl0_58
    | ~ spl0_304
    | ~ spl0_305
    | spl0_306 ),
    inference(sat_conversion,[],[f67687]) ).

cnf(s4821,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | spl0_273
    | ~ spl0_423 ),
    inference(sat_conversion,[],[f67688]) ).

cnf(s4828,plain,
    ( spl0_11
    | ~ spl0_323
    | spl0_360 ),
    inference(sat_conversion,[],[f67695]) ).

cnf(s4832,plain,
    ( ~ spl0_12
    | spl0_196 ),
    inference(sat_conversion,[],[f67746]) ).

cnf(s4849,plain,
    ( ~ spl0_324
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_543 ),
    inference(sat_conversion,[],[f67868]) ).

cnf(s4850,plain,
    ( ~ spl0_94
    | spl0_122
    | ~ spl0_324
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f67869]) ).

cnf(s4851,plain,
    ( ~ spl0_301
    | ~ spl0_313
    | ~ spl0_416
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f67931]) ).

cnf(s4856,plain,
    ( ~ spl0_23
    | ~ spl0_83
    | ~ spl0_90
    | ~ spl0_310
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f67975]) ).

cnf(s4860,plain,
    ( ~ spl0_1
    | ~ spl0_346
    | ~ spl0_360
    | spl0_417 ),
    inference(sat_conversion,[],[f68258]) ).

cnf(s4861,plain,
    ( ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | spl0_484 ),
    inference(sat_conversion,[],[f68259]) ).

cnf(s4863,plain,
    ( ~ spl0_10
    | ~ spl0_346
    | ~ spl0_360
    | spl0_466 ),
    inference(sat_conversion,[],[f68318]) ).

cnf(s4865,plain,
    ( ~ spl0_196
    | spl0_223
    | spl0_319
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f68321]) ).

cnf(s4866,plain,
    ( ~ spl0_302
    | spl0_327
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f68323]) ).

cnf(s4868,plain,
    ( ~ spl0_192
    | ~ spl0_360
    | ~ spl0_363
    | spl0_484 ),
    inference(sat_conversion,[],[f68325]) ).

cnf(s4874,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | spl0_192
    | ~ spl0_531 ),
    inference(sat_conversion,[],[f68331]) ).

cnf(s4875,plain,
    ( ~ spl0_63
    | ~ spl0_99
    | spl0_196
    | ~ spl0_529 ),
    inference(sat_conversion,[],[f68333]) ).

cnf(s4897,plain,
    ( ~ spl0_184
    | ~ spl0_418
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f68521]) ).

cnf(s4920,plain,
    ( ~ spl0_95
    | spl0_195
    | ~ spl0_594 ),
    inference(sat_conversion,[],[f68805]) ).

cnf(s4921,plain,
    ( ~ spl0_110
    | spl0_392
    | ~ spl0_594 ),
    inference(sat_conversion,[],[f68806]) ).

cnf(s4922,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | spl0_310
    | ~ spl0_602 ),
    inference(sat_conversion,[],[f68827]) ).

cnf(s4923,plain,
    ( ~ spl0_95
    | spl0_395
    | ~ spl0_469
    | ~ spl0_538 ),
    inference(sat_conversion,[],[f69030]) ).

cnf(s4924,plain,
    ( ~ spl0_37
    | ~ spl0_86
    | ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f69092]) ).

cnf(s4926,plain,
    ( ~ spl0_301
    | ~ spl0_421
    | ~ spl0_430
    | ~ spl0_529 ),
    inference(sat_conversion,[],[f69094]) ).

cnf(s4930,plain,
    ( ~ spl0_100
    | spl0_323
    | ~ spl0_495 ),
    inference(sat_conversion,[],[f69098]) ).

cnf(s4932,plain,
    ( ~ spl0_90
    | spl0_99
    | spl0_480 ),
    inference(sat_conversion,[],[f69100]) ).

cnf(s4935,plain,
    ( ~ spl0_100
    | spl0_103
    | spl0_323
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f69103]) ).

cnf(s4936,plain,
    ( spl0_99
    | ~ spl0_348
    | ~ spl0_420
    | spl0_466 ),
    inference(sat_conversion,[],[f69104]) ).

cnf(s4948,plain,
    ( ~ spl0_193
    | ~ spl0_196
    | spl0_319
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f69156]) ).

cnf(s4954,plain,
    ( ~ spl0_23
    | ~ spl0_360
    | ~ spl0_418
    | spl0_493 ),
    inference(sat_conversion,[],[f69220]) ).

cnf(s4961,plain,
    ( ~ spl0_37
    | ~ spl0_360
    | ~ spl0_418
    | spl0_466 ),
    inference(sat_conversion,[],[f69896]) ).

cnf(s4962,plain,
    ( ~ spl0_90
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_395
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f69897]) ).

cnf(s4964,plain,
    ( ~ spl0_90
    | ~ spl0_360
    | ~ spl0_420
    | spl0_495 ),
    inference(sat_conversion,[],[f69899]) ).

cnf(s4969,plain,
    ( ~ spl0_100
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f70108]) ).

cnf(s4970,plain,
    ( ~ spl0_32
    | spl0_392
    | ~ spl0_590
    | spl0_603 ),
    inference(sat_conversion,[],[f70149]) ).

cnf(s4972,plain,
    ( ~ spl0_100
    | ~ spl0_360
    | ~ spl0_420
    | spl0_466 ),
    inference(sat_conversion,[],[f70160]) ).

cnf(s4974,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | ~ spl0_389
    | spl0_395 ),
    inference(sat_conversion,[],[f70163]) ).

cnf(s4975,plain,
    ( ~ spl0_110
    | spl0_324
    | ~ spl0_469
    | ~ spl0_513 ),
    inference(sat_conversion,[],[f70165]) ).

cnf(s4978,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_310
    | ~ spl0_341 ),
    inference(sat_conversion,[],[f70168]) ).

cnf(s4979,plain,
    ( ~ spl0_165
    | ~ spl0_304
    | spl0_324
    | ~ spl0_396 ),
    inference(sat_conversion,[],[f70169]) ).

cnf(s4980,plain,
    ( ~ spl0_99
    | spl0_420
    | ~ spl0_469
    | ~ spl0_565 ),
    inference(sat_conversion,[],[f70170]) ).

cnf(s4982,plain,
    ( ~ spl0_110
    | ~ spl0_396
    | spl0_420
    | ~ spl0_579 ),
    inference(sat_conversion,[],[f70172]) ).

cnf(s4983,plain,
    ( ~ spl0_99
    | spl0_310
    | spl0_535
    | ~ spl0_560 ),
    inference(sat_conversion,[],[f70173]) ).

cnf(s4985,plain,
    ( ~ spl0_95
    | ~ spl0_307
    | spl0_324
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f70175]) ).

cnf(s4988,plain,
    ( ~ spl0_24
    | ~ spl0_86
    | ~ spl0_347
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f70178]) ).

cnf(s4989,plain,
    ( ~ spl0_200
    | ~ spl0_273
    | ~ spl0_276
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f70179]) ).

cnf(s4992,plain,
    ( ~ spl0_273
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f70312]) ).

cnf(s4999,plain,
    ( ~ spl0_12
    | ~ spl0_360
    | ~ spl0_420
    | spl0_495 ),
    inference(sat_conversion,[],[f70640]) ).

cnf(s5000,plain,
    ( ~ spl0_86
    | ~ spl0_418
    | ~ spl0_420
    | spl0_495 ),
    inference(sat_conversion,[],[f70641]) ).

cnf(s5003,plain,
    ( ~ spl0_110
    | spl0_395
    | spl0_583
    | ~ spl0_599 ),
    inference(sat_conversion,[],[f70746]) ).

cnf(s5004,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_315
    | ~ spl0_569 ),
    inference(sat_conversion,[],[f70954]) ).

cnf(s5006,plain,
    ( ~ spl0_4
    | ~ spl0_31
    | spl0_83
    | ~ spl0_145
    | ~ spl0_223
    | spl0_274
    | spl0_383 ),
    inference(sat_conversion,[],[f71013]) ).

cnf(s5008,plain,
    ( ~ spl0_52
    | ~ spl0_63
    | ~ spl0_206
    | spl0_309 ),
    inference(sat_conversion,[],[f71017]) ).

cnf(s5010,plain,
    ( ~ spl0_304
    | ~ spl0_323
    | ~ spl0_421
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f71023]) ).

cnf(s5011,plain,
    ( ~ spl0_4
    | ~ spl0_301
    | ~ spl0_323
    | spl0_370
    | spl0_565 ),
    inference(sat_conversion,[],[f71024]) ).

cnf(s5012,plain,
    ( ~ spl0_4
    | ~ spl0_95
    | ~ spl0_99
    | ~ spl0_206
    | ~ spl0_301
    | spl0_346
    | spl0_420 ),
    inference(sat_conversion,[],[f71025]) ).

cnf(s5013,plain,
    ( ~ spl0_301
    | ~ spl0_323
    | ~ spl0_341
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f71027]) ).

cnf(s5014,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_306
    | ~ spl0_429 ),
    inference(sat_conversion,[],[f71029]) ).

cnf(s5016,plain,
    ( spl0_200
    | ~ spl0_301
    | ~ spl0_304
    | spl0_606 ),
    inference(sat_conversion,[],[f71035]) ).

cnf(s5017,plain,
    ( ~ spl0_301
    | ~ spl0_323
    | ~ spl0_560
    | spl0_565 ),
    inference(sat_conversion,[],[f71036]) ).

cnf(s5018,plain,
    ( spl0_11
    | spl0_23
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f71037]) ).

cnf(s5020,plain,
    ( ~ spl0_58
    | ~ spl0_304
    | ~ spl0_305
    | spl0_306 ),
    inference(sat_conversion,[],[f71042]) ).

cnf(s5021,plain,
    ( ~ spl0_117
    | ~ spl0_200
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f71043]) ).

cnf(s5022,plain,
    ( ~ spl0_52
    | ~ spl0_301
    | ~ spl0_305
    | spl0_306 ),
    inference(sat_conversion,[],[f71044]) ).

cnf(s5023,plain,
    ( ~ spl0_301
    | ~ spl0_313
    | ~ spl0_491
    | spl0_607 ),
    inference(sat_conversion,[],[f71049]) ).

cnf(s5024,plain,
    ( ~ spl0_58
    | ~ spl0_301
    | spl0_309
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f71051]) ).

cnf(s5025,plain,
    ( ~ spl0_52
    | ~ spl0_304
    | spl0_309
    | ~ spl0_421 ),
    inference(sat_conversion,[],[f71052]) ).

cnf(s5026,plain,
    ( ~ spl0_32
    | spl0_200
    | ~ spl0_301
    | ~ spl0_304
    | spl0_315 ),
    inference(sat_conversion,[],[f71054]) ).

cnf(s5027,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_371
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f71056]) ).

cnf(s5028,plain,
    ( spl0_23
    | ~ spl0_52
    | spl0_358 ),
    inference(sat_conversion,[],[f71057]) ).

cnf(s5030,plain,
    ( ~ spl0_52
    | ~ spl0_63
    | ~ spl0_223
    | spl0_377 ),
    inference(sat_conversion,[],[f71059]) ).

cnf(s5034,plain,
    ( ~ spl0_4
    | ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | ~ spl0_313
    | spl0_346 ),
    inference(sat_conversion,[],[f71064]) ).

cnf(s5035,plain,
    ( ~ spl0_145
    | spl0_346
    | ~ spl0_415
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f71065]) ).

cnf(s5037,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | ~ spl0_304
    | spl0_306
    | spl0_608 ),
    inference(sat_conversion,[],[f71070]) ).

cnf(s5040,plain,
    ( ~ spl0_192
    | spl0_323
    | ~ spl0_361
    | spl0_386 ),
    inference(sat_conversion,[],[f71073]) ).

cnf(s5041,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_304
    | spl0_565 ),
    inference(sat_conversion,[],[f71074]) ).

cnf(s5043,plain,
    ( ~ spl0_31
    | spl0_83
    | ~ spl0_163
    | ~ spl0_223
    | spl0_274
    | spl0_377 ),
    inference(sat_conversion,[],[f71076]) ).

cnf(s5045,plain,
    ( ~ spl0_302
    | ~ spl0_310
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f71079]) ).

cnf(s5046,plain,
    ( ~ spl0_23
    | ~ spl0_192
    | ~ spl0_363
    | ~ spl0_392
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f71080]) ).

cnf(s5050,plain,
    ( ~ spl0_193
    | ~ spl0_360
    | ~ spl0_363
    | spl0_466 ),
    inference(sat_conversion,[],[f71088]) ).

cnf(s5051,plain,
    ( ~ spl0_361
    | ~ spl0_392
    | ~ spl0_493 ),
    inference(sat_conversion,[],[f71089]) ).

cnf(s5053,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_361
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f71091]) ).

cnf(s5056,plain,
    ( ~ spl0_100
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f71094]) ).

cnf(s5057,plain,
    ( ~ spl0_32
    | ~ spl0_163
    | spl0_418
    | ~ spl0_587 ),
    inference(sat_conversion,[],[f71095]) ).

cnf(s5058,plain,
    ( ~ spl0_104
    | spl0_196
    | ~ spl0_411
    | spl0_535 ),
    inference(sat_conversion,[],[f71096]) ).

cnf(s5062,plain,
    ( ~ spl0_192
    | ~ spl0_201
    | ~ spl0_360
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f71101]) ).

cnf(s5074,plain,
    ( ~ spl0_31
    | spl0_83
    | ~ spl0_323
    | spl0_324
    | spl0_611 ),
    inference(sat_conversion,[],[f71194]) ).

cnf(s5077,plain,
    ( ~ spl0_23
    | ~ spl0_306
    | ~ spl0_466 ),
    inference(sat_conversion,[],[f71292]) ).

cnf(s5091,plain,
    ( ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364
    | spl0_371
    | spl0_564 ),
    inference(sat_conversion,[],[f71415]) ).

cnf(s5095,plain,
    ( ~ spl0_31
    | spl0_392
    | ~ spl0_429
    | ~ spl0_562 ),
    inference(sat_conversion,[],[f71670]) ).

cnf(s5096,plain,
    ( ~ spl0_4
    | ~ spl0_145
    | spl0_371
    | ~ spl0_611 ),
    inference(sat_conversion,[],[f71729]) ).

cnf(s5100,plain,
    ( ~ spl0_196
    | ~ spl0_303
    | spl0_327
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f71801]) ).

cnf(s5102,plain,
    ( ~ spl0_1
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f71806]) ).

cnf(s5105,plain,
    ( ~ spl0_16
    | spl0_200
    | ~ spl0_206
    | ~ spl0_345 ),
    inference(sat_conversion,[],[f71887]) ).

cnf(s5107,plain,
    ( ~ spl0_4
    | ~ spl0_313
    | spl0_346
    | ~ spl0_608 ),
    inference(sat_conversion,[],[f72090]) ).

cnf(s5109,plain,
    ( spl0_156
    | ~ spl0_206
    | spl0_310 ),
    inference(sat_conversion,[],[f72301]) ).

cnf(s5113,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | ~ spl0_362
    | ~ spl0_364
    | spl0_392
    | ~ spl0_569 ),
    inference(sat_conversion,[],[f72501]) ).

cnf(s5115,plain,
    ( ~ spl0_4
    | ~ spl0_95
    | ~ spl0_99
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362
    | spl0_420 ),
    inference(sat_conversion,[],[f72578]) ).

cnf(s5118,plain,
    ( spl0_195
    | ~ spl0_362
    | spl0_460 ),
    inference(sat_conversion,[],[f72582]) ).

cnf(s5120,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | spl0_319
    | spl0_323 ),
    inference(sat_conversion,[],[f72587]) ).

cnf(s5121,plain,
    ( ~ spl0_362
    | spl0_392
    | spl0_435 ),
    inference(sat_conversion,[],[f72588]) ).

cnf(s5123,plain,
    ( ~ spl0_302
    | ~ spl0_306
    | ~ spl0_344
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f72590]) ).

cnf(s5124,plain,
    ( ~ spl0_165
    | spl0_274
    | ~ spl0_312
    | ~ spl0_362 ),
    inference(sat_conversion,[],[f72591]) ).

cnf(s5126,plain,
    ( spl0_11
    | spl0_196
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f72593]) ).

cnf(s5127,plain,
    ( spl0_196
    | spl0_345 ),
    inference(sat_conversion,[],[f72594]) ).

cnf(s5129,plain,
    ( ~ spl0_312
    | ~ spl0_362
    | ~ spl0_421
    | ~ spl0_555 ),
    inference(sat_conversion,[],[f72596]) ).

cnf(s5134,plain,
    ( ~ spl0_4
    | ~ spl0_223
    | spl0_346
    | ~ spl0_362
    | spl0_614 ),
    inference(sat_conversion,[],[f72611]) ).

cnf(s5138,plain,
    ( ~ spl0_31
    | ~ spl0_223
    | spl0_306
    | ~ spl0_364
    | spl0_615 ),
    inference(sat_conversion,[],[f72618]) ).

cnf(s5140,plain,
    ( ~ spl0_90
    | ~ spl0_192
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f72619]) ).

cnf(s5141,plain,
    ( spl0_206
    | ~ spl0_303
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f72620]) ).

cnf(s5142,plain,
    ( ~ spl0_192
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f72621]) ).

cnf(s5143,plain,
    ( ~ spl0_14
    | ~ spl0_362
    | spl0_371
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f72622]) ).

cnf(s5144,plain,
    ( ~ spl0_201
    | spl0_323
    | ~ spl0_327 ),
    inference(sat_conversion,[],[f72623]) ).

cnf(s5151,plain,
    ( ~ spl0_364
    | ~ spl0_372
    | ~ spl0_381
    | ~ spl0_587 ),
    inference(sat_conversion,[],[f72630]) ).

cnf(s5153,plain,
    ( ~ spl0_110
    | ~ spl0_372
    | spl0_420
    | ~ spl0_522 ),
    inference(sat_conversion,[],[f72632]) ).

cnf(s5155,plain,
    ( ~ spl0_4
    | spl0_346
    | ~ spl0_436
    | ~ spl0_564 ),
    inference(sat_conversion,[],[f72634]) ).

cnf(s5168,plain,
    ( ~ spl0_47
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f72705]) ).

cnf(s5175,plain,
    ( ~ spl0_363
    | ~ spl0_392
    | ~ spl0_418
    | spl0_484 ),
    inference(sat_conversion,[],[f72944]) ).

cnf(s5176,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | spl0_306
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f72953]) ).

cnf(s5178,plain,
    ( ~ spl0_145
    | spl0_395
    | ~ spl0_593 ),
    inference(sat_conversion,[],[f72954]) ).

cnf(s5180,plain,
    ( ~ spl0_63
    | ~ spl0_104
    | spl0_192
    | ~ spl0_555 ),
    inference(sat_conversion,[],[f72959]) ).

cnf(s5203,plain,
    ( ~ spl0_301
    | ~ spl0_428
    | ~ spl0_569
    | ~ spl0_603 ),
    inference(sat_conversion,[],[f73366]) ).

cnf(s5204,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_239
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f73377]) ).

cnf(s5206,plain,
    ( ~ spl0_324
    | ~ spl0_361
    | ~ spl0_395
    | spl0_617 ),
    inference(sat_conversion,[],[f73735]) ).

cnf(s5207,plain,
    ( ~ spl0_306
    | ~ spl0_361
    | ~ spl0_392
    | spl0_401 ),
    inference(sat_conversion,[],[f73737]) ).

cnf(s5208,plain,
    ( ~ spl0_303
    | spl0_327
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f73753]) ).

cnf(s5214,plain,
    ( ~ spl0_362
    | ~ spl0_428
    | ~ spl0_593 ),
    inference(sat_conversion,[],[f73873]) ).

cnf(s5220,plain,
    ( spl0_346
    | ~ spl0_436
    | ~ spl0_443
    | ~ spl0_548 ),
    inference(sat_conversion,[],[f73991]) ).

cnf(s5221,plain,
    ( spl0_223
    | ~ spl0_392
    | spl0_618 ),
    inference(sat_conversion,[],[f73995]) ).

cnf(s5222,plain,
    ( ~ spl0_303
    | spl0_327
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f73996]) ).

cnf(s5225,plain,
    ( ~ spl0_193
    | spl0_323
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f74000]) ).

cnf(s5226,plain,
    ( spl0_31
    | ~ spl0_193
    | spl0_386
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f74001]) ).

cnf(s5228,plain,
    ( ~ spl0_193
    | ~ spl0_368
    | spl0_609 ),
    inference(sat_conversion,[],[f74014]) ).

cnf(s5230,plain,
    ( ~ spl0_193
    | ~ spl0_392
    | spl0_618 ),
    inference(sat_conversion,[],[f74015]) ).

cnf(s5242,plain,
    ( spl0_195
    | ~ spl0_443
    | ~ spl0_544 ),
    inference(sat_conversion,[],[f74243]) ).

cnf(s5244,plain,
    ( ~ spl0_95
    | ~ spl0_145
    | spl0_324
    | ~ spl0_416 ),
    inference(sat_conversion,[],[f74249]) ).

cnf(s5246,plain,
    ( ~ spl0_117
    | ~ spl0_195
    | ~ spl0_274
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f74251]) ).

cnf(s5247,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | ~ spl0_206
    | ~ spl0_536 ),
    inference(sat_conversion,[],[f74252]) ).

cnf(s5248,plain,
    ( spl0_99
    | ~ spl0_191
    | spl0_221 ),
    inference(sat_conversion,[],[f74253]) ).

cnf(s5249,plain,
    ( ~ spl0_99
    | ~ spl0_145
    | spl0_273
    | ~ spl0_524 ),
    inference(sat_conversion,[],[f74257]) ).

cnf(s5250,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_273
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f74258]) ).

cnf(s5251,plain,
    ( ~ spl0_4
    | spl0_346
    | ~ spl0_381
    | ~ spl0_615 ),
    inference(sat_conversion,[],[f74259]) ).

cnf(s5252,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_273
    | ~ spl0_536 ),
    inference(sat_conversion,[],[f74260]) ).

cnf(s5281,plain,
    ( ~ spl0_362
    | ~ spl0_430
    | ~ spl0_594 ),
    inference(sat_conversion,[],[f74549]) ).

cnf(s5282,plain,
    ( ~ spl0_99
    | spl0_192
    | ~ spl0_594 ),
    inference(sat_conversion,[],[f74552]) ).

cnf(s5284,plain,
    ( ~ spl0_145
    | ~ spl0_163
    | spl0_310
    | ~ spl0_603 ),
    inference(sat_conversion,[],[f74677]) ).

cnf(s5288,plain,
    ( ~ spl0_63
    | spl0_192
    | ~ spl0_511
    | spl0_619 ),
    inference(sat_conversion,[],[f75257]) ).

cnf(s5289,plain,
    ( ~ spl0_364
    | ~ spl0_393
    | ~ spl0_510
    | spl0_522 ),
    inference(sat_conversion,[],[f75354]) ).

cnf(s5290,plain,
    ( ~ spl0_63
    | spl0_360
    | ~ spl0_510
    | spl0_620 ),
    inference(sat_conversion,[],[f75358]) ).

cnf(s5291,plain,
    ( ~ spl0_364
    | ~ spl0_388
    | ~ spl0_393
    | ~ spl0_620 ),
    inference(sat_conversion,[],[f75377]) ).

cnf(s5292,plain,
    ( ~ spl0_62
    | ~ spl0_110
    | spl0_315
    | ~ spl0_581 ),
    inference(sat_conversion,[],[f75378]) ).

cnf(s5295,plain,
    ( ~ spl0_362
    | ~ spl0_421
    | ~ spl0_424
    | ~ spl0_619 ),
    inference(sat_conversion,[],[f75381]) ).

cnf(s5296,plain,
    ( ~ spl0_110
    | spl0_420
    | ~ spl0_510
    | spl0_558 ),
    inference(sat_conversion,[],[f75382]) ).

cnf(s5297,plain,
    ( spl0_42
    | ~ spl0_206
    | spl0_315 ),
    inference(sat_conversion,[],[f75383]) ).

cnf(s5298,plain,
    ( ~ spl0_4
    | spl0_20
    | spl0_29 ),
    inference(sat_conversion,[],[f75384]) ).

cnf(s5299,plain,
    ( ~ spl0_31
    | spl0_86
    | ~ spl0_156
    | spl0_172 ),
    inference(sat_conversion,[],[f75385]) ).

cnf(s5301,plain,
    ( ~ spl0_31
    | ~ spl0_110
    | spl0_377
    | ~ spl0_575 ),
    inference(sat_conversion,[],[f75387]) ).

cnf(s5302,plain,
    ( ~ spl0_95
    | ~ spl0_163
    | spl0_274
    | ~ spl0_578 ),
    inference(sat_conversion,[],[f75388]) ).

cnf(s5305,plain,
    ( spl0_346
    | ~ spl0_436
    | ~ spl0_478
    | spl0_576 ),
    inference(sat_conversion,[],[f75391]) ).

cnf(s5310,plain,
    ( ~ spl0_110
    | ~ spl0_163
    | ~ spl0_373
    | spl0_377 ),
    inference(sat_conversion,[],[f75396]) ).

cnf(s5311,plain,
    ( spl0_274
    | spl0_317
    | ~ spl0_362 ),
    inference(sat_conversion,[],[f75397]) ).

cnf(s5312,plain,
    ( ~ spl0_32
    | spl0_376
    | spl0_377
    | ~ spl0_440 ),
    inference(sat_conversion,[],[f75401]) ).

cnf(s5313,plain,
    ( spl0_42
    | spl0_86
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f75402]) ).

cnf(s5315,plain,
    ( ~ spl0_31
    | ~ spl0_305
    | spl0_306
    | ~ spl0_516 ),
    inference(sat_conversion,[],[f75404]) ).

cnf(s5316,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_478
    | spl0_574 ),
    inference(sat_conversion,[],[f75405]) ).

cnf(s5321,plain,
    ( ~ spl0_62
    | spl0_346
    | ~ spl0_510
    | spl0_621 ),
    inference(sat_conversion,[],[f75415]) ).

cnf(s5323,plain,
    ( ~ spl0_90
    | ~ spl0_196
    | ~ spl0_310
    | ~ spl0_368
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f75417]) ).

cnf(s5324,plain,
    ( ~ spl0_362
    | spl0_392
    | ~ spl0_421
    | spl0_512 ),
    inference(sat_conversion,[],[f75419]) ).

cnf(s5325,plain,
    ( ~ spl0_90
    | spl0_103
    | ~ spl0_324
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f75420]) ).

cnf(s5326,plain,
    ( ~ spl0_90
    | spl0_103
    | spl0_323
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f75421]) ).

cnf(s5327,plain,
    ( ~ spl0_62
    | spl0_195
    | ~ spl0_511
    | spl0_530 ),
    inference(sat_conversion,[],[f75424]) ).

cnf(s5328,plain,
    ( ~ spl0_110
    | spl0_395
    | ~ spl0_511
    | spl0_531 ),
    inference(sat_conversion,[],[f75425]) ).

cnf(s5329,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_501
    | spl0_532 ),
    inference(sat_conversion,[],[f75426]) ).

cnf(s5332,plain,
    ( ~ spl0_145
    | spl0_195
    | ~ spl0_379
    | spl0_554 ),
    inference(sat_conversion,[],[f75429]) ).

cnf(s5356,plain,
    ( ~ spl0_365
    | ~ spl0_436
    | ~ spl0_606 ),
    inference(sat_conversion,[],[f75633]) ).

cnf(s5357,plain,
    ( ~ spl0_365
    | ~ spl0_393
    | ~ spl0_501
    | spl0_527 ),
    inference(sat_conversion,[],[f75634]) ).

cnf(s5367,plain,
    ( ~ spl0_90
    | ~ spl0_100
    | ~ spl0_310
    | ~ spl0_552 ),
    inference(sat_conversion,[],[f75836]) ).

cnf(s5368,plain,
    ( ~ spl0_304
    | spl0_324
    | spl0_411 ),
    inference(sat_conversion,[],[f75837]) ).

cnf(s5369,plain,
    ( ~ spl0_104
    | spl0_192
    | ~ spl0_379
    | spl0_553 ),
    inference(sat_conversion,[],[f75838]) ).

cnf(s5370,plain,
    ( ~ spl0_14
    | ~ spl0_313
    | ~ spl0_365
    | spl0_383 ),
    inference(sat_conversion,[],[f75839]) ).

cnf(s5373,plain,
    ( ~ spl0_304
    | spl0_394
    | ~ spl0_396
    | spl0_420 ),
    inference(sat_conversion,[],[f75842]) ).

cnf(s5374,plain,
    ( ~ spl0_163
    | ~ spl0_379
    | spl0_392
    | spl0_555 ),
    inference(sat_conversion,[],[f75844]) ).

cnf(s5379,plain,
    ( ~ spl0_4
    | ~ spl0_223
    | ~ spl0_365
    | spl0_370
    | spl0_562 ),
    inference(sat_conversion,[],[f75850]) ).

cnf(s5380,plain,
    ( ~ spl0_4
    | ~ spl0_206
    | ~ spl0_304
    | spl0_371
    | spl0_565 ),
    inference(sat_conversion,[],[f75851]) ).

cnf(s5381,plain,
    ( ~ spl0_206
    | ~ spl0_304
    | spl0_340
    | spl0_360 ),
    inference(sat_conversion,[],[f75852]) ).

cnf(s5385,plain,
    ( ~ spl0_16
    | spl0_195
    | ~ spl0_223
    | ~ spl0_388 ),
    inference(sat_conversion,[],[f75874]) ).

cnf(s5395,plain,
    ( ~ spl0_100
    | ~ spl0_273
    | ~ spl0_395
    | ~ spl0_609 ),
    inference(sat_conversion,[],[f76006]) ).

cnf(s5405,plain,
    ( ~ spl0_362
    | ~ spl0_421
    | spl0_509
    | ~ spl0_511 ),
    inference(sat_conversion,[],[f76142]) ).

cnf(s5409,plain,
    ( ~ spl0_364
    | ~ spl0_365
    | ~ spl0_607 ),
    inference(sat_conversion,[],[f76264]) ).

cnf(s5410,plain,
    ( ~ spl0_196
    | ~ spl0_273
    | ~ spl0_302
    | ~ spl0_324
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f76302]) ).

cnf(s5415,plain,
    ( ~ spl0_362
    | ~ spl0_421
    | ~ spl0_428
    | ~ spl0_530 ),
    inference(sat_conversion,[],[f76422]) ).

cnf(s5418,plain,
    ( ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_565 ),
    inference(sat_conversion,[],[f76515]) ).

cnf(s5419,plain,
    ( ~ spl0_223
    | ~ spl0_364
    | ~ spl0_367
    | ~ spl0_608 ),
    inference(sat_conversion,[],[f76536]) ).

cnf(s5424,plain,
    ( ~ spl0_23
    | ~ spl0_100
    | ~ spl0_196
    | ~ spl0_309
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f76961]) ).

cnf(s5428,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_203
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f76967]) ).

cnf(s5429,plain,
    ( ~ spl0_62
    | spl0_371
    | ~ spl0_436
    | ~ spl0_509 ),
    inference(sat_conversion,[],[f76968]) ).

cnf(s5431,plain,
    ( ~ spl0_145
    | spl0_346
    | ~ spl0_425
    | ~ spl0_436 ),
    inference(sat_conversion,[],[f76970]) ).

cnf(s5433,plain,
    ( ~ spl0_62
    | spl0_371
    | ~ spl0_443
    | ~ spl0_513 ),
    inference(sat_conversion,[],[f76972]) ).

cnf(s5434,plain,
    ( ~ spl0_62
    | ~ spl0_314
    | spl0_346
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f76973]) ).

cnf(s5435,plain,
    ( ~ spl0_163
    | spl0_418
    | ~ spl0_425
    | ~ spl0_468 ),
    inference(sat_conversion,[],[f76975]) ).

cnf(s5436,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_346
    | ~ spl0_558 ),
    inference(sat_conversion,[],[f76976]) ).

cnf(s5438,plain,
    ( ~ spl0_4
    | ~ spl0_223
    | ~ spl0_364
    | spl0_371
    | spl0_564 ),
    inference(sat_conversion,[],[f76978]) ).

cnf(s5447,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_273
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f77085]) ).

cnf(s5448,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | spl0_273
    | ~ spl0_340 ),
    inference(sat_conversion,[],[f77086]) ).

cnf(s5449,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_370
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f77087]) ).

cnf(s5460,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | spl0_420
    | ~ spl0_614 ),
    inference(sat_conversion,[],[f77413]) ).

cnf(s5461,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_346
    | ~ spl0_418 ),
    inference(sat_conversion,[],[f77426]) ).

cnf(s5462,plain,
    ( ~ spl0_12
    | spl0_360 ),
    inference(sat_conversion,[],[f77428]) ).

cnf(s5475,plain,
    ( ~ spl0_367
    | spl0_375
    | ~ spl0_379
    | ~ spl0_396 ),
    inference(sat_conversion,[],[f77670]) ).

cnf(s5476,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | spl0_502
    | ~ spl0_511 ),
    inference(sat_conversion,[],[f77671]) ).

cnf(s5496,plain,
    ( ~ spl0_62
    | ~ spl0_163
    | spl0_309
    | ~ spl0_557 ),
    inference(sat_conversion,[],[f77973]) ).

cnf(s5503,plain,
    ( ~ spl0_1
    | ~ spl0_196
    | ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f78111]) ).

cnf(s5505,plain,
    ( ~ spl0_87
    | ~ spl0_310
    | ~ spl0_385
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f78113]) ).

cnf(s5506,plain,
    ( spl0_346
    | ~ spl0_364
    | spl0_515 ),
    inference(sat_conversion,[],[f78114]) ).

cnf(s5507,plain,
    ( spl0_1
    | ~ spl0_14
    | spl0_622 ),
    inference(sat_conversion,[],[f78118]) ).

cnf(s5509,plain,
    ( ~ spl0_4
    | ~ spl0_19
    | ~ spl0_340
    | spl0_370 ),
    inference(sat_conversion,[],[f78120]) ).

cnf(s5510,plain,
    ( ~ spl0_14
    | ~ spl0_367
    | spl0_370
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f78121]) ).

cnf(s5515,plain,
    ( ~ spl0_10
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_385 ),
    inference(sat_conversion,[],[f78128]) ).

cnf(s5516,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | spl0_392
    | spl0_506 ),
    inference(sat_conversion,[],[f78130]) ).

cnf(s5518,plain,
    ( ~ spl0_86
    | ~ spl0_100
    | ~ spl0_395
    | ~ spl0_618 ),
    inference(sat_conversion,[],[f78132]) ).

cnf(s5520,plain,
    ( ~ spl0_14
    | ~ spl0_308
    | ~ spl0_364
    | spl0_383 ),
    inference(sat_conversion,[],[f78134]) ).

cnf(s5521,plain,
    ( ~ spl0_5
    | ~ spl0_364
    | spl0_371
    | ~ spl0_381 ),
    inference(sat_conversion,[],[f78135]) ).

cnf(s5522,plain,
    ( spl0_195
    | ~ spl0_367
    | spl0_459 ),
    inference(sat_conversion,[],[f78136]) ).

cnf(s5523,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_335 ),
    inference(sat_conversion,[],[f78137]) ).

cnf(s5524,plain,
    ( ~ spl0_192
    | spl0_223
    | spl0_528 ),
    inference(sat_conversion,[],[f78138]) ).

cnf(s5525,plain,
    ( ~ spl0_5
    | ~ spl0_313
    | ~ spl0_367
    | spl0_383 ),
    inference(sat_conversion,[],[f78139]) ).

cnf(s5528,plain,
    ( ~ spl0_31
    | ~ spl0_63
    | spl0_309
    | ~ spl0_340 ),
    inference(sat_conversion,[],[f78142]) ).

cnf(s5533,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_20
    | spl0_31 ),
    inference(sat_conversion,[],[f78168]) ).

cnf(s5555,plain,
    ( ~ spl0_130
    | ~ spl0_273
    | ~ spl0_315
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f78549]) ).

cnf(s5565,plain,
    ( spl0_31
    | ~ spl0_86
    | ~ spl0_100
    | spl0_103 ),
    inference(sat_conversion,[],[f78563]) ).

cnf(s5573,plain,
    ( ~ spl0_20
    | ~ spl0_315
    | ~ spl0_370
    | spl0_387 ),
    inference(sat_conversion,[],[f78877]) ).

cnf(s5574,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_395
    | ~ spl0_530 ),
    inference(sat_conversion,[],[f78905]) ).

cnf(s5575,plain,
    ( ~ spl0_104
    | ~ spl0_110
    | spl0_420
    | ~ spl0_620 ),
    inference(sat_conversion,[],[f78953]) ).

cnf(s5576,plain,
    ( ~ spl0_110
    | ~ spl0_145
    | spl0_420
    | ~ spl0_621 ),
    inference(sat_conversion,[],[f79031]) ).

cnf(s5577,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_195
    | ~ spl0_531 ),
    inference(sat_conversion,[],[f79060]) ).

cnf(s5578,plain,
    ( ~ spl0_303
    | ~ spl0_315
    | ~ spl0_363
    | ~ spl0_366
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f79226]) ).

cnf(s5579,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_198
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f79227]) ).

cnf(s5581,plain,
    ( ~ spl0_32
    | ~ spl0_63
    | spl0_309
    | ~ spl0_537 ),
    inference(sat_conversion,[],[f79229]) ).

cnf(s5591,plain,
    ( spl0_194
    | ~ spl0_200
    | ~ spl0_368
    | ~ spl0_521 ),
    inference(sat_conversion,[],[f79369]) ).

cnf(s5603,plain,
    ( ~ spl0_63
    | spl0_196
    | ~ spl0_501
    | spl0_623 ),
    inference(sat_conversion,[],[f79745]) ).

cnf(s5606,plain,
    ( ~ spl0_145
    | spl0_195
    | spl0_581
    | ~ spl0_591 ),
    inference(sat_conversion,[],[f79887]) ).

cnf(s5609,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_607 ),
    inference(sat_conversion,[],[f80000]) ).

cnf(s5610,plain,
    ( ~ spl0_145
    | spl0_200
    | ~ spl0_411
    | spl0_483 ),
    inference(sat_conversion,[],[f80001]) ).

cnf(s5611,plain,
    ( spl0_418
    | ~ spl0_429
    | ~ spl0_432
    | spl0_533 ),
    inference(sat_conversion,[],[f80002]) ).

cnf(s5612,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_383
    | ~ spl0_574 ),
    inference(sat_conversion,[],[f80004]) ).

cnf(s5613,plain,
    ( spl0_418
    | ~ spl0_429
    | ~ spl0_479
    | spl0_482 ),
    inference(sat_conversion,[],[f80006]) ).

cnf(s5614,plain,
    ( spl0_195
    | ~ spl0_397
    | ~ spl0_443
    | spl0_557 ),
    inference(sat_conversion,[],[f80007]) ).

cnf(s5615,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f80008]) ).

cnf(s5616,plain,
    ( ~ spl0_163
    | spl0_315
    | spl0_339
    | ~ spl0_411 ),
    inference(sat_conversion,[],[f80009]) ).

cnf(s5617,plain,
    ( ~ spl0_20
    | spl0_47
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80010]) ).

cnf(s5618,plain,
    ( ~ spl0_62
    | spl0_200
    | ~ spl0_501
    | spl0_532 ),
    inference(sat_conversion,[],[f80011]) ).

cnf(s5619,plain,
    ( ~ spl0_201
    | ~ spl0_315
    | ~ spl0_368
    | ~ spl0_618 ),
    inference(sat_conversion,[],[f80012]) ).

cnf(s5620,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_486
    | spl0_607 ),
    inference(sat_conversion,[],[f80013]) ).

cnf(s5621,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_411
    | spl0_415 ),
    inference(sat_conversion,[],[f80015]) ).

cnf(s5622,plain,
    ( spl0_9
    | ~ spl0_10
    | spl0_206
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80017]) ).

cnf(s5624,plain,
    ( ~ spl0_110
    | spl0_310
    | ~ spl0_501
    | spl0_529 ),
    inference(sat_conversion,[],[f80019]) ).

cnf(s5625,plain,
    ( ~ spl0_1
    | spl0_9
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80020]) ).

cnf(s5626,plain,
    ( spl0_200
    | ~ spl0_301
    | spl0_491 ),
    inference(sat_conversion,[],[f80021]) ).

cnf(s5627,plain,
    ( spl0_195
    | spl0_423
    | ~ spl0_443
    | ~ spl0_459 ),
    inference(sat_conversion,[],[f80022]) ).

cnf(s5628,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_206
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f80026]) ).

cnf(s5629,plain,
    ( ~ spl0_83
    | spl0_184
    | ~ spl0_273
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f80030]) ).

cnf(s5630,plain,
    ( spl0_195
    | ~ spl0_391
    | ~ spl0_443
    | spl0_536 ),
    inference(sat_conversion,[],[f80032]) ).

cnf(s5631,plain,
    ( ~ spl0_19
    | ~ spl0_62
    | spl0_200
    | ~ spl0_623 ),
    inference(sat_conversion,[],[f80033]) ).

cnf(s5632,plain,
    ( ~ spl0_361
    | ~ spl0_371
    | ~ spl0_383
    | spl0_465 ),
    inference(sat_conversion,[],[f80035]) ).

cnf(s5633,plain,
    ( ~ spl0_195
    | ~ spl0_361
    | ~ spl0_371
    | spl0_465 ),
    inference(sat_conversion,[],[f80036]) ).

cnf(s5635,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_309
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80038]) ).

cnf(s5636,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_306
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f80041]) ).

cnf(s5639,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_348
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80044]) ).

cnf(s5640,plain,
    ( ~ spl0_368
    | ~ spl0_370
    | ~ spl0_383
    | spl0_465 ),
    inference(sat_conversion,[],[f80046]) ).

cnf(s5641,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80047]) ).

cnf(s5642,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_206
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80048]) ).

cnf(s5644,plain,
    ( ~ spl0_23
    | spl0_38
    | spl0_206
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f80051]) ).

cnf(s5649,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | ~ spl0_343
    | spl0_346 ),
    inference(sat_conversion,[],[f80062]) ).

cnf(s5651,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_323
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80064]) ).

cnf(s5652,plain,
    ( ~ spl0_391
    | spl0_392
    | ~ spl0_429
    | spl0_506 ),
    inference(sat_conversion,[],[f80065]) ).

cnf(s5654,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_306
    | spl0_323 ),
    inference(sat_conversion,[],[f80068]) ).

cnf(s5656,plain,
    ( spl0_392
    | ~ spl0_429
    | ~ spl0_459
    | spl0_533 ),
    inference(sat_conversion,[],[f80071]) ).

cnf(s5660,plain,
    ( spl0_392
    | ~ spl0_397
    | ~ spl0_429
    | spl0_556 ),
    inference(sat_conversion,[],[f80076]) ).

cnf(s5661,plain,
    ( ~ spl0_23
    | spl0_38
    | ~ spl0_306
    | spl0_323 ),
    inference(sat_conversion,[],[f80077]) ).

cnf(s5662,plain,
    ( ~ spl0_348
    | ~ spl0_361
    | ~ spl0_418
    | ~ spl0_618 ),
    inference(sat_conversion,[],[f80078]) ).

cnf(s5672,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_622 ),
    inference(sat_conversion,[],[f80162]) ).

cnf(s5688,plain,
    ( ~ spl0_301
    | ~ spl0_428
    | ~ spl0_606 ),
    inference(sat_conversion,[],[f80318]) ).

cnf(s5689,plain,
    ( ~ spl0_145
    | spl0_310
    | ~ spl0_606 ),
    inference(sat_conversion,[],[f80319]) ).

cnf(s5690,plain,
    ( ~ spl0_4
    | spl0_196
    | ~ spl0_606 ),
    inference(sat_conversion,[],[f80321]) ).

cnf(s5691,plain,
    ( ~ spl0_94
    | spl0_122
    | ~ spl0_273
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80322]) ).

cnf(s5693,plain,
    ( ~ spl0_391
    | spl0_395
    | ~ spl0_469
    | spl0_549 ),
    inference(sat_conversion,[],[f80324]) ).

cnf(s5696,plain,
    ( ~ spl0_99
    | ~ spl0_110
    | spl0_324
    | ~ spl0_507 ),
    inference(sat_conversion,[],[f80327]) ).

cnf(s5697,plain,
    ( spl0_346
    | spl0_423
    | ~ spl0_432
    | ~ spl0_443 ),
    inference(sat_conversion,[],[f80328]) ).

cnf(s5698,plain,
    ( ~ spl0_23
    | spl0_38
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f80329]) ).

cnf(s5700,plain,
    ( spl0_346
    | ~ spl0_443
    | ~ spl0_479
    | spl0_524 ),
    inference(sat_conversion,[],[f80331]) ).

cnf(s5701,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | spl0_306
    | ~ spl0_568 ),
    inference(sat_conversion,[],[f80335]) ).

cnf(s5702,plain,
    ( spl0_9
    | ~ spl0_10
    | spl0_223
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f80336]) ).

cnf(s5703,plain,
    ( ~ spl0_31
    | ~ spl0_62
    | spl0_377
    | ~ spl0_576 ),
    inference(sat_conversion,[],[f80337]) ).

cnf(s5705,plain,
    ( ~ spl0_99
    | ~ spl0_145
    | spl0_274
    | ~ spl0_576 ),
    inference(sat_conversion,[],[f80340]) ).

cnf(s5707,plain,
    ( ~ spl0_301
    | ~ spl0_421
    | ~ spl0_501
    | spl0_513 ),
    inference(sat_conversion,[],[f80342]) ).

cnf(s5708,plain,
    ( ~ spl0_309
    | ~ spl0_368
    | ~ spl0_377
    | spl0_401 ),
    inference(sat_conversion,[],[f80344]) ).

cnf(s5711,plain,
    ( ~ spl0_90
    | spl0_103
    | spl0_206
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f80350]) ).

cnf(s5712,plain,
    ( spl0_31
    | ~ spl0_348
    | ~ spl0_418
    | spl0_466 ),
    inference(sat_conversion,[],[f80351]) ).

cnf(s5718,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | spl0_94
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f80388]) ).

cnf(s5719,plain,
    ( ~ spl0_78
    | spl0_206 ),
    inference(sat_conversion,[],[f80419]) ).

cnf(s5720,plain,
    ( ~ spl0_78
    | spl0_323 ),
    inference(sat_conversion,[],[f80421]) ).

cnf(s5731,plain,
    ( ~ spl0_62
    | spl0_392
    | ~ spl0_593 ),
    inference(sat_conversion,[],[f80674]) ).

cnf(s5732,plain,
    ( ~ spl0_87
    | ~ spl0_94
    | ~ spl0_224
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f80675]) ).

cnf(s5733,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_223
    | spl0_383 ),
    inference(sat_conversion,[],[f80676]) ).

cnf(s5736,plain,
    ( ~ spl0_1
    | spl0_9
    | spl0_323
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80679]) ).

cnf(s5739,plain,
    ( spl0_196
    | ~ spl0_301
    | spl0_486 ),
    inference(sat_conversion,[],[f80683]) ).

cnf(s5741,plain,
    ( ~ spl0_34
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f80685]) ).

cnf(s5742,plain,
    ( ~ spl0_110
    | spl0_395
    | ~ spl0_396
    | ~ spl0_502 ),
    inference(sat_conversion,[],[f80686]) ).

cnf(s5743,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_310
    | ~ spl0_344 ),
    inference(sat_conversion,[],[f80687]) ).

cnf(s5744,plain,
    ( ~ spl0_301
    | spl0_315
    | ~ spl0_421
    | spl0_512 ),
    inference(sat_conversion,[],[f80688]) ).

cnf(s5745,plain,
    ( spl0_196
    | ~ spl0_301
    | ~ spl0_323
    | spl0_342 ),
    inference(sat_conversion,[],[f80689]) ).

cnf(s5746,plain,
    ( spl0_9
    | ~ spl0_10
    | spl0_323
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f80690]) ).

cnf(s5752,plain,
    ( spl0_340
    | ~ spl0_345
    | spl0_360
    | ~ spl0_479 ),
    inference(sat_conversion,[],[f80696]) ).

cnf(s5754,plain,
    ( ~ spl0_63
    | spl0_196
    | ~ spl0_501
    | spl0_623 ),
    inference(sat_conversion,[],[f80698]) ).

cnf(s5757,plain,
    ( spl0_192
    | ~ spl0_345
    | ~ spl0_397
    | spl0_559 ),
    inference(sat_conversion,[],[f80701]) ).

cnf(s5785,plain,
    ( ~ spl0_20
    | ~ spl0_320
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f80990]) ).

cnf(s5790,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_397
    | spl0_566 ),
    inference(sat_conversion,[],[f81120]) ).

cnf(s5794,plain,
    ( ~ spl0_100
    | spl0_223
    | ~ spl0_617 ),
    inference(sat_conversion,[],[f81143]) ).

cnf(s5795,plain,
    ( ~ spl0_4
    | ~ spl0_19
    | spl0_383
    | ~ spl0_390 ),
    inference(sat_conversion,[],[f81168]) ).

cnf(s5799,plain,
    ( ~ spl0_132
    | ~ spl0_200
    | spl0_223
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f81260]) ).

cnf(s5800,plain,
    ( ~ spl0_104
    | ~ spl0_110
    | spl0_395
    | ~ spl0_619 ),
    inference(sat_conversion,[],[f81280]) ).

cnf(s5801,plain,
    ( ~ spl0_200
    | ~ spl0_250
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f81288]) ).

cnf(s5802,plain,
    ( ~ spl0_19
    | ~ spl0_62
    | spl0_346
    | ~ spl0_620 ),
    inference(sat_conversion,[],[f81317]) ).

cnf(s5803,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_371
    | ~ spl0_507 ),
    inference(sat_conversion,[],[f81318]) ).

cnf(s5804,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_219
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f81319]) ).

cnf(s5805,plain,
    ( spl0_223
    | ~ spl0_348
    | ~ spl0_363
    | spl0_466 ),
    inference(sat_conversion,[],[f81320]) ).

cnf(s5828,plain,
    ( spl0_99
    | ~ spl0_132
    | ~ spl0_195
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f81696]) ).

cnf(s5836,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f82142]) ).

cnf(s5837,plain,
    ( ~ spl0_302
    | ~ spl0_309
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f82144]) ).

cnf(s5838,plain,
    ( ~ spl0_100
    | spl0_103
    | ~ spl0_239
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f82146]) ).

cnf(s5841,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | spl0_324
    | ~ spl0_568 ),
    inference(sat_conversion,[],[f82149]) ).

cnf(s5843,plain,
    ( ~ spl0_195
    | ~ spl0_346
    | ~ spl0_363
    | spl0_484 ),
    inference(sat_conversion,[],[f82151]) ).

cnf(s5845,plain,
    ( spl0_315
    | ~ spl0_365
    | ~ spl0_393
    | spl0_505 ),
    inference(sat_conversion,[],[f82153]) ).

cnf(s5847,plain,
    ( spl0_196
    | ~ spl0_365
    | spl0_442 ),
    inference(sat_conversion,[],[f82156]) ).

cnf(s5850,plain,
    ( ~ spl0_193
    | spl0_323
    | ~ spl0_361
    | spl0_386 ),
    inference(sat_conversion,[],[f82163]) ).

cnf(s5854,plain,
    ( ~ spl0_100
    | spl0_103
    | spl0_206
    | ~ spl0_273 ),
    inference(sat_conversion,[],[f82170]) ).

cnf(s5892,plain,
    ( ~ spl0_304
    | spl0_306
    | spl0_501 ),
    inference(sat_conversion,[],[f82555]) ).

cnf(s5893,plain,
    ( ~ spl0_304
    | spl0_418
    | spl0_419 ),
    inference(sat_conversion,[],[f82556]) ).

cnf(s5894,plain,
    ( ~ spl0_304
    | spl0_346
    | spl0_432 ),
    inference(sat_conversion,[],[f82558]) ).

cnf(s5896,plain,
    ( ~ spl0_304
    | spl0_420
    | spl0_422 ),
    inference(sat_conversion,[],[f82560]) ).

cnf(s5897,plain,
    ( ~ spl0_304
    | spl0_371
    | spl0_412 ),
    inference(sat_conversion,[],[f82561]) ).

cnf(s5900,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | ~ spl0_200
    | ~ spl0_487 ),
    inference(sat_conversion,[],[f82564]) ).

cnf(s5901,plain,
    ( ~ spl0_304
    | ~ spl0_313
    | spl0_346
    | spl0_423 ),
    inference(sat_conversion,[],[f82565]) ).

cnf(s5902,plain,
    ( ~ spl0_303
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_371
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f82567]) ).

cnf(s5938,plain,
    ( ~ spl0_19
    | ~ spl0_62
    | spl0_370
    | ~ spl0_563 ),
    inference(sat_conversion,[],[f83015]) ).

cnf(s5939,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | spl0_192
    | ~ spl0_530 ),
    inference(sat_conversion,[],[f83094]) ).

cnf(s5940,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | ~ spl0_223
    | ~ spl0_586 ),
    inference(sat_conversion,[],[f83114]) ).

cnf(s5942,plain,
    ( ~ spl0_4
    | ~ spl0_63
    | spl0_360
    | ~ spl0_621 ),
    inference(sat_conversion,[],[f83201]) ).

cnf(s5945,plain,
    ( ~ spl0_83
    | ~ spl0_306
    | ~ spl0_420
    | spl0_493 ),
    inference(sat_conversion,[],[f83288]) ).

cnf(s5948,plain,
    ( ~ spl0_31
    | ~ spl0_63
    | spl0_377
    | ~ spl0_390 ),
    inference(sat_conversion,[],[f83293]) ).

cnf(s5949,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_223
    | spl0_392 ),
    inference(sat_conversion,[],[f83294]) ).

cnf(s5950,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_17 ),
    inference(sat_conversion,[],[f83295]) ).

cnf(s5953,plain,
    ( spl0_4
    | ~ spl0_87
    | ~ spl0_100
    | spl0_103 ),
    inference(sat_conversion,[],[f83301]) ).

cnf(s5974,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_388
    | ~ spl0_548 ),
    inference(sat_conversion,[],[f83718]) ).

cnf(s5975,plain,
    ( ~ spl0_200
    | ~ spl0_366
    | ~ spl0_383
    | spl0_387 ),
    inference(sat_conversion,[],[f83767]) ).

cnf(s5978,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | spl0_20
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f83770]) ).

cnf(s5979,plain,
    ( ~ spl0_83
    | spl0_184
    | ~ spl0_306
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f83771]) ).

cnf(s5981,plain,
    ( ~ spl0_20
    | spl0_47
    | ~ spl0_377
    | ~ spl0_383 ),
    inference(sat_conversion,[],[f83774]) ).

cnf(s5982,plain,
    ( ~ spl0_20
    | ~ spl0_309
    | ~ spl0_368
    | ~ spl0_383
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f83775]) ).

cnf(s5984,plain,
    ( ~ spl0_19
    | spl0_24
    | ~ spl0_358 ),
    inference(sat_conversion,[],[f83777]) ).

cnf(s5986,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | spl0_87
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f83779]) ).

cnf(s5988,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | spl0_195
    | ~ spl0_223 ),
    inference(sat_conversion,[],[f83781]) ).

cnf(s5991,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_86
    | ~ spl0_543 ),
    inference(sat_conversion,[],[f83856]) ).

cnf(s5994,plain,
    ( spl0_248
    | spl0_418
    | spl0_569 ),
    inference(sat_conversion,[],[f83972]) ).

cnf(s5999,plain,
    ( ~ spl0_195
    | ~ spl0_368
    | ~ spl0_387 ),
    inference(sat_conversion,[],[f83995]) ).

cnf(s6009,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_323
    | spl0_371 ),
    inference(sat_conversion,[],[f84058]) ).

cnf(s6010,plain,
    ( ~ spl0_323
    | spl0_351
    | spl0_371
    | ~ spl0_622 ),
    inference(sat_conversion,[],[f84059]) ).

cnf(s6021,plain,
    ( spl0_193
    | ~ spl0_195
    | spl0_243
    | ~ spl0_449 ),
    inference(sat_conversion,[],[f84196]) ).

cnf(s6031,plain,
    ( spl0_310
    | ~ spl0_365
    | spl0_378 ),
    inference(sat_conversion,[],[f84268]) ).

cnf(s6032,plain,
    ( spl0_315
    | ~ spl0_365
    | spl0_380 ),
    inference(sat_conversion,[],[f84269]) ).

cnf(s6033,plain,
    ( spl0_309
    | ~ spl0_365
    | spl0_511 ),
    inference(sat_conversion,[],[f84270]) ).

cnf(s6034,plain,
    ( spl0_200
    | ~ spl0_365
    | spl0_440 ),
    inference(sat_conversion,[],[f84271]) ).

cnf(s6036,plain,
    ( spl0_310
    | ~ spl0_365
    | ~ spl0_372
    | spl0_373 ),
    inference(sat_conversion,[],[f84274]) ).

cnf(s6037,plain,
    ( spl0_273
    | ~ spl0_365
    | spl0_379 ),
    inference(sat_conversion,[],[f84275]) ).

cnf(s6058,plain,
    ( ~ spl0_303
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f84696]) ).

cnf(s6062,plain,
    ( ~ spl0_302
    | ~ spl0_306
    | ~ spl0_315
    | spl0_320 ),
    inference(sat_conversion,[],[f84947]) ).

cnf(s6063,plain,
    ( ~ spl0_90
    | ~ spl0_94
    | ~ spl0_198
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f84949]) ).

cnf(s6064,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f84950]) ).

cnf(s6065,plain,
    ( ~ spl0_10
    | ~ spl0_94
    | ~ spl0_200
    | ~ spl0_488 ),
    inference(sat_conversion,[],[f84952]) ).

cnf(s6066,plain,
    ( ~ spl0_94
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_310
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f84953]) ).

cnf(s6080,plain,
    ( ~ spl0_17
    | ~ spl0_348
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f85075]) ).

cnf(s6092,plain,
    ( ~ spl0_62
    | ~ spl0_313
    | spl0_346
    | ~ spl0_579 ),
    inference(sat_conversion,[],[f85535]) ).

cnf(s6093,plain,
    ( ~ spl0_149
    | spl0_323
    | ~ spl0_371
    | spl0_417 ),
    inference(sat_conversion,[],[f85595]) ).

cnf(s6094,plain,
    ( ~ spl0_2
    | spl0_20
    | spl0_627 ),
    inference(sat_conversion,[],[f85645]) ).

cnf(s6095,plain,
    ( ~ spl0_95
    | ~ spl0_110
    | ~ spl0_223
    | spl0_392
    | spl0_395
    | ~ spl0_627 ),
    inference(sat_conversion,[],[f85684]) ).

cnf(s6098,plain,
    ( ~ spl0_304
    | ~ spl0_312
    | ~ spl0_424
    | ~ spl0_559 ),
    inference(sat_conversion,[],[f85859]) ).

cnf(s6099,plain,
    ( ~ spl0_301
    | spl0_418
    | spl0_501 ),
    inference(sat_conversion,[],[f85891]) ).

cnf(s6100,plain,
    ( ~ spl0_301
    | spl0_411
    | spl0_420 ),
    inference(sat_conversion,[],[f85892]) ).

cnf(s6101,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_607 ),
    inference(sat_conversion,[],[f85912]) ).

cnf(s6102,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_486
    | spl0_607 ),
    inference(sat_conversion,[],[f85914]) ).

cnf(s6103,plain,
    ( spl0_206
    | ~ spl0_310
    | spl0_488 ),
    inference(sat_conversion,[],[f85915]) ).

cnf(s6104,plain,
    ( ~ spl0_37
    | ~ spl0_201
    | ~ spl0_315
    | spl0_319 ),
    inference(sat_conversion,[],[f85916]) ).

cnf(s6105,plain,
    ( ~ spl0_14
    | ~ spl0_301
    | ~ spl0_313
    | spl0_371 ),
    inference(sat_conversion,[],[f85917]) ).

cnf(s6106,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_419
    | spl0_563 ),
    inference(sat_conversion,[],[f85920]) ).

cnf(s6108,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_246
    | spl0_319 ),
    inference(sat_conversion,[],[f85922]) ).

cnf(s6109,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_432
    | spl0_537 ),
    inference(sat_conversion,[],[f85923]) ).

cnf(s6110,plain,
    ( ~ spl0_201
    | ~ spl0_222
    | ~ spl0_310
    | spl0_319 ),
    inference(sat_conversion,[],[f85924]) ).

cnf(s6111,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_422
    | spl0_559 ),
    inference(sat_conversion,[],[f85925]) ).

cnf(s6113,plain,
    ( spl0_206
    | ~ spl0_315
    | spl0_487 ),
    inference(sat_conversion,[],[f85928]) ).

cnf(s6114,plain,
    ( ~ spl0_304
    | spl0_360
    | spl0_479 ),
    inference(sat_conversion,[],[f85929]) ).

cnf(s6115,plain,
    ( ~ spl0_14
    | ~ spl0_304
    | ~ spl0_308
    | spl0_370 ),
    inference(sat_conversion,[],[f85930]) ).

cnf(s6117,plain,
    ( ~ spl0_206
    | ~ spl0_301
    | ~ spl0_453
    | spl0_548 ),
    inference(sat_conversion,[],[f85932]) ).

cnf(s6119,plain,
    ( spl0_99
    | ~ spl0_201
    | ~ spl0_310
    | spl0_319 ),
    inference(sat_conversion,[],[f85934]) ).

cnf(s6120,plain,
    ( spl0_31
    | ~ spl0_201
    | ~ spl0_315
    | spl0_319 ),
    inference(sat_conversion,[],[f85935]) ).

cnf(s6121,plain,
    ( ~ spl0_304
    | ~ spl0_305
    | spl0_418
    | spl0_506 ),
    inference(sat_conversion,[],[f85936]) ).

cnf(s6131,plain,
    ( ~ spl0_273
    | ~ spl0_274
    | ~ spl0_310
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f86020]) ).

cnf(s6132,plain,
    ( spl0_418
    | ~ spl0_419
    | ~ spl0_429
    | spl0_506 ),
    inference(sat_conversion,[],[f86026]) ).

cnf(s6135,plain,
    ( spl0_346
    | ~ spl0_419
    | ~ spl0_443
    | spl0_536 ),
    inference(sat_conversion,[],[f86029]) ).

cnf(s6136,plain,
    ( spl0_394
    | spl0_420
    | ~ spl0_422
    | ~ spl0_469 ),
    inference(sat_conversion,[],[f86030]) ).

cnf(s6137,plain,
    ( spl0_346
    | ~ spl0_422
    | ~ spl0_443
    | spl0_557 ),
    inference(sat_conversion,[],[f86031]) ).

cnf(s6138,plain,
    ( ~ spl0_419
    | spl0_420
    | ~ spl0_469
    | spl0_549 ),
    inference(sat_conversion,[],[f86032]) ).

cnf(s6139,plain,
    ( spl0_1
    | ~ spl0_14
    | spl0_570 ),
    inference(sat_conversion,[],[f86033]) ).

cnf(s6143,plain,
    ( ~ spl0_37
    | ~ spl0_193
    | spl0_386
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f86115]) ).

cnf(s6149,plain,
    ( ~ spl0_201
    | spl0_223
    | spl0_319
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f86168]) ).

cnf(s6150,plain,
    ( ~ spl0_274
    | ~ spl0_310
    | spl0_321
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f86169]) ).

cnf(s6171,plain,
    ( ~ spl0_87
    | ~ spl0_324
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f86430]) ).

cnf(s6172,plain,
    ( ~ spl0_10
    | ~ spl0_348
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f86432]) ).

cnf(s6173,plain,
    ( ~ spl0_10
    | spl0_323
    | ~ spl0_417 ),
    inference(sat_conversion,[],[f86435]) ).

cnf(s6174,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | ~ spl0_223
    | spl0_395 ),
    inference(sat_conversion,[],[f86436]) ).

cnf(s6181,plain,
    ( ~ spl0_362
    | spl0_377
    | spl0_510 ),
    inference(sat_conversion,[],[f86613]) ).

cnf(s6182,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206
    | spl0_315 ),
    inference(sat_conversion,[],[f86614]) ).

cnf(s6183,plain,
    ( ~ spl0_223
    | ~ spl0_362
    | ~ spl0_453
    | spl0_596 ),
    inference(sat_conversion,[],[f86615]) ).

cnf(s6184,plain,
    ( spl0_31
    | ~ spl0_193
    | spl0_386
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f86616]) ).

cnf(s6185,plain,
    ( ~ spl0_31
    | spl0_306
    | ~ spl0_453
    | spl0_629 ),
    inference(sat_conversion,[],[f86621]) ).

cnf(s6186,plain,
    ( ~ spl0_11
    | spl0_37
    | ~ spl0_206
    | spl0_309 ),
    inference(sat_conversion,[],[f86622]) ).

cnf(s6197,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | ~ spl0_195
    | ~ spl0_618 ),
    inference(sat_conversion,[],[f86808]) ).

cnf(s6198,plain,
    ( ~ spl0_364
    | spl0_418
    | spl0_426 ),
    inference(sat_conversion,[],[f86810]) ).

cnf(s6199,plain,
    ( ~ spl0_364
    | ~ spl0_393
    | spl0_418
    | spl0_505 ),
    inference(sat_conversion,[],[f86811]) ).

cnf(s6200,plain,
    ( ~ spl0_193
    | spl0_206
    | ~ spl0_368
    | spl0_386 ),
    inference(sat_conversion,[],[f86813]) ).

cnf(s6201,plain,
    ( ~ spl0_201
    | ~ spl0_302
    | spl0_319
    | spl0_323 ),
    inference(sat_conversion,[],[f86814]) ).

cnf(s6202,plain,
    ( ~ spl0_31
    | ~ spl0_63
    | spl0_377
    | ~ spl0_390 ),
    inference(sat_conversion,[],[f86815]) ).

cnf(s6205,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_223
    | spl0_377 ),
    inference(sat_conversion,[],[f86838]) ).

cnf(s6211,plain,
    ( spl0_87
    | ~ spl0_150
    | ~ spl0_346
    | ~ spl0_420 ),
    inference(sat_conversion,[],[f87085]) ).

cnf(s6212,plain,
    ( ~ spl0_10
    | spl0_48
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f87086]) ).

cnf(s6213,plain,
    ( ~ spl0_10
    | spl0_87
    | ~ spl0_100
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f87088]) ).

cnf(s6214,plain,
    ( ~ spl0_150
    | spl0_200
    | ~ spl0_303
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f87090]) ).

cnf(s6215,plain,
    ( ~ spl0_10
    | ~ spl0_150
    | spl0_200
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f87092]) ).

cnf(s6218,plain,
    ( ~ spl0_303
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_609 ),
    inference(sat_conversion,[],[f87173]) ).

cnf(s6219,plain,
    ( ~ spl0_63
    | spl0_360
    | ~ spl0_388
    | ~ spl0_629 ),
    inference(sat_conversion,[],[f87283]) ).

cnf(s6221,plain,
    ( ~ spl0_364
    | spl0_420
    | spl0_427 ),
    inference(sat_conversion,[],[f87388]) ).

cnf(s6222,plain,
    ( ~ spl0_364
    | ~ spl0_372
    | spl0_373
    | spl0_420 ),
    inference(sat_conversion,[],[f87389]) ).

cnf(s6226,plain,
    ( ~ spl0_165
    | spl0_324
    | ~ spl0_364
    | ~ spl0_372 ),
    inference(sat_conversion,[],[f87490]) ).

cnf(s6228,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_368 ),
    inference(sat_conversion,[],[f87513]) ).

cnf(s6230,plain,
    ( ~ spl0_19
    | ~ spl0_62
    | spl0_195
    | ~ spl0_619 ),
    inference(sat_conversion,[],[f87515]) ).

cnf(s6231,plain,
    ( spl0_99
    | ~ spl0_193
    | spl0_386
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f87516]) ).

cnf(s6232,plain,
    ( spl0_223
    | ~ spl0_368
    | spl0_609 ),
    inference(sat_conversion,[],[f87517]) ).

cnf(s6233,plain,
    ( spl0_223
    | ~ spl0_395
    | spl0_630 ),
    inference(sat_conversion,[],[f87522]) ).

cnf(s6234,plain,
    ( ~ spl0_32
    | spl0_306
    | ~ spl0_438
    | ~ spl0_468 ),
    inference(sat_conversion,[],[f87523]) ).

cnf(s6235,plain,
    ( ~ spl0_23
    | spl0_38
    | spl0_223
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f87524]) ).

cnf(s6237,plain,
    ( ~ spl0_193
    | ~ spl0_222
    | spl0_386
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f87526]) ).

cnf(s6238,plain,
    ( ~ spl0_193
    | ~ spl0_239
    | ~ spl0_368
    | spl0_386 ),
    inference(sat_conversion,[],[f87527]) ).

cnf(s6239,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | spl0_274
    | ~ spl0_390 ),
    inference(sat_conversion,[],[f87528]) ).

cnf(s6240,plain,
    ( ~ spl0_309
    | spl0_320
    | ~ spl0_366
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f87530]) ).

cnf(s6241,plain,
    ( ~ spl0_95
    | spl0_324
    | ~ spl0_438
    | ~ spl0_439 ),
    inference(sat_conversion,[],[f87531]) ).

cnf(s6244,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | spl0_83
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f87561]) ).

cnf(s6257,plain,
    ( ~ spl0_195
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_370 ),
    inference(sat_conversion,[],[f87678]) ).

cnf(s6258,plain,
    ( spl0_360
    | ~ spl0_364
    | spl0_478 ),
    inference(sat_conversion,[],[f87680]) ).

cnf(s6259,plain,
    ( spl0_4
    | ~ spl0_193
    | ~ spl0_195
    | spl0_386 ),
    inference(sat_conversion,[],[f87681]) ).

cnf(s6260,plain,
    ( ~ spl0_24
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_370
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f87682]) ).

cnf(s6261,plain,
    ( ~ spl0_193
    | ~ spl0_195
    | ~ spl0_246
    | spl0_386 ),
    inference(sat_conversion,[],[f87683]) ).

cnf(s6262,plain,
    ( ~ spl0_24
    | ~ spl0_94
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f87684]) ).

cnf(s6263,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_242
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f87685]) ).

cnf(s6264,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | spl0_38
    | ~ spl0_246 ),
    inference(sat_conversion,[],[f87686]) ).

cnf(s6265,plain,
    ( ~ spl0_37
    | spl0_38
    | spl0_223
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f87687]) ).

cnf(s6266,plain,
    ( ~ spl0_94
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_395 ),
    inference(sat_conversion,[],[f87688]) ).

cnf(s6267,plain,
    ( ~ spl0_201
    | ~ spl0_302
    | spl0_319
    | ~ spl0_348 ),
    inference(sat_conversion,[],[f87689]) ).

cnf(s6268,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | spl0_83
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f87690]) ).

cnf(s6269,plain,
    ( ~ spl0_201
    | ~ spl0_242
    | spl0_319
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f87691]) ).

cnf(s6270,plain,
    ( spl0_4
    | ~ spl0_24
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f87692]) ).

cnf(s6273,plain,
    ( ~ spl0_8
    | spl0_323
    | spl0_360 ),
    inference(sat_conversion,[],[f87734]) ).

cnf(s6283,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | spl0_327
    | ~ spl0_346 ),
    inference(sat_conversion,[],[f87919]) ).

cnf(s6296,plain,
    ( ~ spl0_19
    | spl0_196
    | ~ spl0_412
    | spl0_633 ),
    inference(sat_conversion,[],[f88463]) ).

cnf(s6298,plain,
    ( ~ spl0_308
    | ~ spl0_362
    | ~ spl0_374
    | spl0_438 ),
    inference(sat_conversion,[],[f88521]) ).

cnf(s6300,plain,
    ( ~ spl0_308
    | ~ spl0_362
    | ~ spl0_424
    | ~ spl0_634 ),
    inference(sat_conversion,[],[f88544]) ).

cnf(s6302,plain,
    ( ~ spl0_206
    | spl0_315
    | ~ spl0_627
    | spl0_635 ),
    inference(sat_conversion,[],[f88604]) ).

cnf(s6303,plain,
    ( ~ spl0_246
    | ~ spl0_346
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f88605]) ).

cnf(s6304,plain,
    ( ~ spl0_32
    | ~ spl0_374
    | spl0_392
    | spl0_636 ),
    inference(sat_conversion,[],[f88610]) ).

cnf(s6305,plain,
    ( ~ spl0_95
    | ~ spl0_104
    | spl0_395
    | ~ spl0_634 ),
    inference(sat_conversion,[],[f88611]) ).

cnf(s6306,plain,
    ( spl0_4
    | ~ spl0_346
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f88612]) ).

cnf(s6307,plain,
    ( ~ spl0_197
    | spl0_219
    | spl0_223 ),
    inference(sat_conversion,[],[f88613]) ).

cnf(s6308,plain,
    ( ~ spl0_239
    | ~ spl0_303
    | ~ spl0_348
    | spl0_466 ),
    inference(sat_conversion,[],[f88614]) ).

cnf(s6310,plain,
    ( ~ spl0_95
    | ~ spl0_374
    | spl0_395
    | spl0_637 ),
    inference(sat_conversion,[],[f88619]) ).

cnf(s6311,plain,
    ( ~ spl0_110
    | spl0_324
    | ~ spl0_439
    | ~ spl0_509 ),
    inference(sat_conversion,[],[f88620]) ).

cnf(s6312,plain,
    ( ~ spl0_19
    | spl0_192
    | ~ spl0_374
    | spl0_634 ),
    inference(sat_conversion,[],[f88621]) ).

cnf(s6327,plain,
    ( ~ spl0_339
    | ~ spl0_365
    | ~ spl0_372
    | ~ spl0_393 ),
    inference(sat_conversion,[],[f88796]) ).

cnf(s6329,plain,
    ( ~ spl0_2
    | ~ spl0_206
    | ~ spl0_365
    | spl0_383
    | spl0_538 ),
    inference(sat_conversion,[],[f88798]) ).

cnf(s6330,plain,
    ( ~ spl0_313
    | ~ spl0_367
    | ~ spl0_374
    | spl0_398 ),
    inference(sat_conversion,[],[f88839]) ).

cnf(s6331,plain,
    ( spl0_274
    | ~ spl0_367
    | spl0_411 ),
    inference(sat_conversion,[],[f88844]) ).

cnf(s6332,plain,
    ( ~ spl0_367
    | spl0_395
    | spl0_397 ),
    inference(sat_conversion,[],[f88845]) ).

cnf(s6333,plain,
    ( ~ spl0_367
    | spl0_391
    | spl0_392 ),
    inference(sat_conversion,[],[f88846]) ).

cnf(s6337,plain,
    ( ~ spl0_365
    | ~ spl0_381
    | ~ spl0_388
    | ~ spl0_633 ),
    inference(sat_conversion,[],[f88910]) ).

cnf(s6341,plain,
    ( ~ spl0_32
    | ~ spl0_63
    | spl0_315
    | ~ spl0_633 ),
    inference(sat_conversion,[],[f89025]) ).

cnf(s6342,plain,
    ( ~ spl0_323
    | spl0_418
    | ~ spl0_627
    | spl0_638 ),
    inference(sat_conversion,[],[f89030]) ).

cnf(s6343,plain,
    ( ~ spl0_1
    | ~ spl0_10
    | ~ spl0_195
    | ~ spl0_528 ),
    inference(sat_conversion,[],[f89031]) ).

cnf(s6344,plain,
    ( ~ spl0_95
    | ~ spl0_163
    | spl0_395
    | ~ spl0_636 ),
    inference(sat_conversion,[],[f89032]) ).

cnf(s6347,plain,
    ( ~ spl0_30
    | spl0_200
    | spl0_206 ),
    inference(sat_conversion,[],[f89109]) ).

cnf(s6349,plain,
    ( spl0_248
    | spl0_381
    | spl0_383 ),
    inference(sat_conversion,[],[f89130]) ).

cnf(s6355,plain,
    ( ~ spl0_313
    | ~ spl0_367
    | ~ spl0_429
    | ~ spl0_636 ),
    inference(sat_conversion,[],[f89266]) ).

cnf(s6356,plain,
    ( ~ spl0_367
    | spl0_377
    | spl0_501 ),
    inference(sat_conversion,[],[f89267]) ).

cnf(s6357,plain,
    ( ~ spl0_223
    | ~ spl0_367
    | ~ spl0_393
    | ~ spl0_526 ),
    inference(sat_conversion,[],[f89268]) ).

cnf(s6360,plain,
    ( ~ spl0_2
    | ~ spl0_223
    | ~ spl0_367
    | spl0_370
    | spl0_538 ),
    inference(sat_conversion,[],[f89270]) ).

cnf(s6365,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(sat_conversion,[],[f89367]) ).

cnf(s6385,plain,
    ( ~ spl0_201
    | ~ spl0_310
    | ~ spl0_368
    | ~ spl0_630 ),
    inference(sat_conversion,[],[f89570]) ).

cnf(s6391,plain,
    ( ~ spl0_2
    | ~ spl0_304
    | ~ spl0_323
    | spl0_370
    | spl0_561 ),
    inference(sat_conversion,[],[f89666]) ).

cnf(s6393,plain,
    ( ~ spl0_14
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f89753]) ).

cnf(s6394,plain,
    ( ~ spl0_32
    | ~ spl0_63
    | spl0_392
    | ~ spl0_634 ),
    inference(sat_conversion,[],[f89809]) ).

cnf(s6395,plain,
    ( ~ spl0_301
    | ~ spl0_312
    | ~ spl0_323
    | ~ spl0_535 ),
    inference(sat_conversion,[],[f89895]) ).

cnf(s6396,plain,
    ( ~ spl0_301
    | spl0_309
    | spl0_510 ),
    inference(sat_conversion,[],[f89896]) ).

cnf(s6397,plain,
    ( ~ spl0_165
    | spl0_273
    | ~ spl0_301
    | ~ spl0_312 ),
    inference(sat_conversion,[],[f89897]) ).

cnf(s6398,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f89898]) ).

cnf(s6400,plain,
    ( spl0_418
    | ~ spl0_429
    | ~ spl0_607 ),
    inference(sat_conversion,[],[f89900]) ).

cnf(s6401,plain,
    ( ~ spl0_104
    | ~ spl0_110
    | spl0_310
    | ~ spl0_623 ),
    inference(sat_conversion,[],[f89901]) ).

cnf(s6402,plain,
    ( spl0_4
    | ~ spl0_200
    | ~ spl0_201
    | spl0_319 ),
    inference(sat_conversion,[],[f89902]) ).

cnf(s6403,plain,
    ( ~ spl0_301
    | spl0_310
    | spl0_311
    | ~ spl0_312 ),
    inference(sat_conversion,[],[f89904]) ).

cnf(s6405,plain,
    ( spl0_273
    | ~ spl0_301
    | spl0_317 ),
    inference(sat_conversion,[],[f89906]) ).

cnf(s6406,plain,
    ( spl0_420
    | ~ spl0_469
    | ~ spl0_607 ),
    inference(sat_conversion,[],[f89907]) ).

cnf(s6407,plain,
    ( ~ spl0_301
    | spl0_315
    | spl0_316 ),
    inference(sat_conversion,[],[f89908]) ).

cnf(s6408,plain,
    ( ~ spl0_301
    | spl0_310
    | spl0_318 ),
    inference(sat_conversion,[],[f89909]) ).

cnf(s6418,plain,
    ( spl0_312
    | spl0_324
    | spl0_325 ),
    inference(sat_conversion,[],[f90021]) ).

cnf(s6426,plain,
    ( ~ spl0_2
    | ~ spl0_323
    | ~ spl0_364
    | spl0_383
    | spl0_592 ),
    inference(sat_conversion,[],[f90163]) ).

cnf(s6431,plain,
    ( ~ spl0_95
    | ~ spl0_110
    | spl0_310
    | ~ spl0_635 ),
    inference(sat_conversion,[],[f90261]) ).

cnf(s6432,plain,
    ( ~ spl0_364
    | ~ spl0_381
    | ~ spl0_393
    | ~ spl0_638 ),
    inference(sat_conversion,[],[f90463]) ).

cnf(s6433,plain,
    ( ~ spl0_95
    | ~ spl0_110
    | spl0_420
    | ~ spl0_638 ),
    inference(sat_conversion,[],[f90464]) ).

cnf(s6438,plain,
    ( ~ spl0_62
    | ~ spl0_95
    | spl0_383
    | ~ spl0_585 ),
    inference(sat_conversion,[],[f90561]) ).

cnf(s6439,plain,
    ( ~ spl0_62
    | spl0_195
    | ~ spl0_313
    | ~ spl0_502 ),
    inference(sat_conversion,[],[f90608]) ).

cnf(s6441,plain,
    ( spl0_156
    | ~ spl0_323
    | spl0_420 ),
    inference(sat_conversion,[],[f90983]) ).

cnf(s6443,plain,
    ( spl0_324
    | ~ spl0_364
    | spl0_379 ),
    inference(sat_conversion,[],[f90986]) ).

cnf(s6444,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_596 ),
    inference(sat_conversion,[],[f90987]) ).

cnf(s6445,plain,
    ( spl0_42
    | ~ spl0_323
    | spl0_418 ),
    inference(sat_conversion,[],[f90988]) ).

cnf(s6446,plain,
    ( ~ spl0_20
    | spl0_47
    | ~ spl0_306
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f90991]) ).

cnf(s6447,plain,
    ( ~ spl0_364
    | ~ spl0_393
    | spl0_418
    | spl0_505 ),
    inference(sat_conversion,[],[f90992]) ).

cnf(s6448,plain,
    ( ~ spl0_4
    | ~ spl0_62
    | spl0_200
    | ~ spl0_341 ),
    inference(sat_conversion,[],[f90993]) ).

cnf(s6449,plain,
    ( ~ spl0_4
    | spl0_200
    | ~ spl0_560
    | spl0_602 ),
    inference(sat_conversion,[],[f90994]) ).

cnf(s6450,plain,
    ( ~ spl0_4
    | ~ spl0_104
    | ~ spl0_145
    | spl0_195
    | spl0_310
    | ~ spl0_600 ),
    inference(sat_conversion,[],[f90995]) ).

cnf(s6453,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_371 ),
    inference(sat_conversion,[],[f91064]) ).

cnf(s6455,plain,
    ( spl0_306
    | ~ spl0_364
    | spl0_511 ),
    inference(sat_conversion,[],[f91066]) ).

cnf(s6461,plain,
    ( ~ spl0_23
    | spl0_31
    | spl0_34 ),
    inference(sat_conversion,[],[f91216]) ).

cnf(s6462,plain,
    ( ~ spl0_37
    | ~ spl0_90
    | ~ spl0_192
    | ~ spl0_274
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f91217]) ).

cnf(s6463,plain,
    ( ~ spl0_31
    | ~ spl0_163
    | spl0_306
    | ~ spl0_611 ),
    inference(sat_conversion,[],[f91218]) ).

cnf(s6464,plain,
    ( ~ spl0_23
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_392 ),
    inference(sat_conversion,[],[f91220]) ).

cnf(s6466,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | spl0_315
    | ~ spl0_602 ),
    inference(sat_conversion,[],[f91222]) ).

cnf(s6467,plain,
    ( spl0_11
    | spl0_192
    | ~ spl0_223 ),
    inference(sat_conversion,[],[f91223]) ).

cnf(s6468,plain,
    ( ~ spl0_199
    | spl0_206
    | spl0_217 ),
    inference(sat_conversion,[],[f91224]) ).

cnf(s6470,plain,
    ( spl0_42
    | ~ spl0_223
    | spl0_392 ),
    inference(sat_conversion,[],[f91226]) ).

cnf(s6473,plain,
    ( ~ spl0_32
    | ~ spl0_110
    | spl0_392
    | ~ spl0_637 ),
    inference(sat_conversion,[],[f91229]) ).

cnf(s6477,plain,
    ( ~ spl0_23
    | spl0_34
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f91250]) ).

cnf(s6479,plain,
    ( spl0_200
    | spl0_243
    | spl0_443 ),
    inference(sat_conversion,[],[f91277]) ).

cnf(s6483,plain,
    ( spl0_243
    | spl0_313
    | spl0_370 ),
    inference(sat_conversion,[],[f91291]) ).

cnf(s6486,plain,
    ( spl0_247
    | spl0_315
    | spl0_429 ),
    inference(sat_conversion,[],[f91312]) ).

cnf(s6490,plain,
    ( spl0_247
    | spl0_305
    | spl0_309 ),
    inference(sat_conversion,[],[f91325]) ).

cnf(s6497,plain,
    ( ~ spl0_34
    | ~ spl0_306
    | ~ spl0_348
    | ~ spl0_360 ),
    inference(sat_conversion,[],[f91445]) ).

cnf(s6498,plain,
    ( ~ spl0_8
    | spl0_23
    | spl0_31 ),
    inference(sat_conversion,[],[f91461]) ).

cnf(s6506,plain,
    ( spl0_43
    | ~ spl0_58
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f91806]) ).

cnf(s6507,plain,
    ( spl0_44
    | ~ spl0_58
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f91807]) ).

cnf(s6509,plain,
    ( ~ spl0_95
    | ~ spl0_304
    | spl0_346
    | spl0_420
    | spl0_581 ),
    inference(sat_conversion,[],[f92124]) ).

cnf(s6510,plain,
    ( ~ spl0_32
    | ~ spl0_304
    | spl0_346
    | spl0_418
    | spl0_603 ),
    inference(sat_conversion,[],[f92125]) ).

cnf(s6518,plain,
    ( spl0_346
    | spl0_351
    | spl0_428 ),
    inference(sat_conversion,[],[f92222]) ).

cnf(s6520,plain,
    ( spl0_308
    | spl0_351
    | spl0_371 ),
    inference(sat_conversion,[],[f92238]) ).

cnf(s6527,plain,
    ( spl0_194
    | spl0_301
    | spl0_302 ),
    inference(sat_conversion,[],[f92350]) ).

cnf(s6529,plain,
    ( spl0_194
    | spl0_303
    | spl0_304 ),
    inference(sat_conversion,[],[f92360]) ).

cnf(s6530,plain,
    ( spl0_247
    | spl0_303
    | spl0_304 ),
    inference(sat_conversion,[],[f92361]) ).

cnf(s6538,plain,
    ( ~ spl0_23
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_368
    | ~ spl0_377 ),
    inference(sat_conversion,[],[f92709]) ).

cnf(s6540,plain,
    ( ~ spl0_87
    | ~ spl0_227
    | ~ spl0_310
    | ~ spl0_326
    | spl0_348 ),
    inference(rat,[],[s2315,s2555]) ).

cnf(s6541,plain,
    ( ~ spl0_83
    | ~ spl0_87
    | ~ spl0_227
    | ~ spl0_322
    | spl0_348 ),
    inference(rat,[],[s2152,s2555]) ).

cnf(s6543,plain,
    ( spl0_420
    | spl0_430 ),
    inference(rat,[],[s2130,s2555]) ).

cnf(s6550,plain,
    ( spl0_367
    | spl0_368 ),
    inference(rat,[],[s1676,s1827]) ).

cnf(s6551,plain,
    ( spl0_365
    | spl0_366 ),
    inference(rat,[],[s1675,s1827]) ).

cnf(s6552,plain,
    ( spl0_363
    | spl0_364 ),
    inference(rat,[],[s1674,s1827]) ).

cnf(s6553,plain,
    ( spl0_361
    | spl0_362 ),
    inference(rat,[],[s1673,s1827]) ).

cnf(s6592,plain,
    ( spl0_303
    | spl0_304 ),
    inference(rat,[],[s1108,s1178]) ).

cnf(s6593,plain,
    ( spl0_301
    | spl0_302 ),
    inference(rat,[],[s1107,s1178]) ).

cnf(s6641,plain,
    ( ~ spl0_60
    | spl0_83
    | spl0_87
    | ~ spl0_99 ),
    inference(rat,[],[s196,s1827]) ).

cnf(s6646,plain,
    ( spl0_83
    | spl0_110 ),
    inference(rat,[],[s166,s1827]) ).

cnf(s6647,plain,
    ( ~ spl0_16
    | spl0_87
    | spl0_90
    | ~ spl0_99 ),
    inference(rat,[],[s151,s1178]) ).

cnf(s6649,plain,
    ( spl0_94
    | spl0_95 ),
    inference(rat,[],[s141,s1178]) ).

cnf(s6659,plain,
    ( spl0_20
    | spl0_32 ),
    inference(rat,[],[s32,s242]) ).

cnf(s6660,plain,
    ( ~ spl0_86
    | ~ spl0_38
    | ~ spl0_37
    | ~ spl0_24
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s267,s513,s4315,s5248,s186,s2387,s321]) ).

cnf(s6661,plain,
    ( spl0_206
    | ~ spl0_393
    | ~ spl0_219
    | ~ spl0_52
    | ~ spl0_41
    | ~ spl0_30 ),
    inference(rat,[],[s2184,s1829,s3306,s5804,s6347,s1653,s1827]) ).

cnf(s6663,plain,
    ( ~ spl0_219
    | spl0_506
    | ~ spl0_305
    | ~ spl0_200
    | ~ spl0_201
    | ~ spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s1829,s5516,s5804,s3646,s1827]) ).

cnf(s6664,plain,
    ( spl0_223
    | spl0_219
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s538,s1786,s6307,s5702]) ).

cnf(s6665,plain,
    ( ~ spl0_223
    | spl0_42
    | ~ spl0_38
    | spl0_11 ),
    inference(rat,[],[s3011,s6467,s6470]) ).

cnf(s6666,plain,
    ( ~ spl0_206
    | spl0_42
    | ~ spl0_38
    | spl0_11 ),
    inference(rat,[],[s2721,s5297,s5126]) ).

cnf(s6667,plain,
    ( spl0_42
    | spl0_86
    | ~ spl0_38
    | ~ spl0_41
    | spl0_47
    | ~ spl0_24
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s269,s139,s53,s6661,s6666,s1799,s1998,s1786,s6664,s5702,s1835,s6665,s131,s5313,s25,s665]) ).

cnf(s6668,plain,
    ( spl0_206
    | ~ spl0_393
    | ~ spl0_219
    | spl0_31
    | ~ spl0_24
    | ~ spl0_30 ),
    inference(rat,[],[s3922,s6663,s1829,s1208,s5804,s3306,s6347,s1653,s280,s2718,s3646,s2524,s1827]) ).

cnf(s6669,plain,
    ( spl0_223
    | ~ spl0_219
    | spl0_31
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s4148,s6329,s6486,s1841,s2721,s4686,s5126,s6668,s1799,s1998,s6261,s1786,s5702,s1835,s25,s37,s6659,s280,s6264,s3984,s3646,s255,s2524,s814,s1827,s665]) ).

cnf(s6670,plain,
    ( ~ spl0_377
    | spl0_335
    | spl0_47
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(rat,[],[s538,s1786,s1726,s3500]) ).

cnf(s6671,plain,
    ( ~ spl0_309
    | spl0_344
    | spl0_47
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(rat,[],[s1982,s681,s5635,s2503]) ).

cnf(s6672,plain,
    ( ~ spl0_219
    | spl0_31
    | ~ spl0_23
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2733,s1841,s538,s6329,s1786,s3073,s4644,s1982,s681,s4519,s1829,s6357,s2977,s6671,s4148,s6486,s5515,s2721,s4506,s5126,s6668,s1799,s6670,s5523,s6467,s6669,s3646,s25,s6659,s6667,s6660,s6264,s2524,s3984,s280,s4146,s255,s37,s1827,s814,s665]) ).

cnf(s6673,plain,
    ( spl0_206
    | ~ spl0_393
    | spl0_392
    | ~ spl0_192
    | ~ spl0_41
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s3922,s5516,s1829,s1208,s4726,s3306,s6402,s6347,s1653,s2718,s1827]) ).

cnf(s6674,plain,
    ( spl0_31
    | ~ spl0_23
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2733,s1841,s538,s6329,s1786,s3073,s4644,s1982,s681,s4519,s1829,s6357,s4148,s2977,s6486,s6671,s5515,s2721,s4506,s5126,s6673,s1799,s6670,s5523,s3011,s6467,s6664,s6672,s6667,s6660,s6264,s280,s2524,s4146,s3984,s25,s37,s255,s6659,s1827,s814,s665]) ).

cnf(s6675,plain,
    ( spl0_223
    | ~ spl0_367
    | spl0_206
    | ~ spl0_23
    | spl0_20
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6337,s6296,s1870,s4506,s5523,s2535,s2197,s2122,s3174,s2121,s2231,s1989,s4070,s1841,s6261,s4299,s2761,s1786,s1724,s5702,s1835,s3984,s6659,s17,s1679,s255,s1688,s5622,s6468,s681,s1208,s2002,s6402,s6347,s25,s37,s1653,s1827]) ).

cnf(s6676,plain,
    ( ~ spl0_367
    | spl0_206
    | ~ spl0_23
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1212,s6670,s2122,s2231,s4148,s3174,s2197,s5523,s6360,s6467,s6675,s15,s1,s6659,s17,s1679,s255,s1688,s5622,s1208,s2002,s6402,s6347,s25,s37,s1653]) ).

cnf(s6677,plain,
    ( spl0_206
    | ~ spl0_23
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6664,s6467,s5615,s4726,s1829,s6676,s6402,s6347,s1653,s25,s37,s1827]) ).

cnf(s6678,plain,
    ( spl0_223
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_23
    | spl0_20
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2444,s6671,s4148,s1989,s6329,s1841,s2121,s4686,s4070,s6261,s1786,s1724,s5702,s1835,s3984,s6659,s17,s6486,s2535,s4506,s37,s1679,s255,s1827,s814]) ).

cnf(s6679,plain,
    ( ~ spl0_367
    | ~ spl0_383
    | spl0_562
    | spl0_538
    | ~ spl0_192
    | ~ spl0_223
    | ~ spl0_196
    | ~ spl0_2 ),
    inference(rat,[],[s1840,s1841,s3841,s4505,s6360,s3970,s1827]) ).

cnf(s6680,plain,
    ( ~ spl0_377
    | spl0_562
    | spl0_538
    | spl0_385
    | spl0_335
    | ~ spl0_192
    | ~ spl0_223
    | ~ spl0_196
    | ~ spl0_24
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s1982,s681,s5640,s4519,s1829,s6679,s1786,s538,s1726,s4183,s1827]) ).

cnf(s6681,plain,
    ( ~ spl0_199
    | ~ spl0_393
    | spl0_385
    | ~ spl0_223
    | ~ spl0_42
    | spl0_344
    | ~ spl0_206 ),
    inference(rat,[],[s6357,s1829,s2977,s4519,s2503,s1827]) ).

cnf(s6682,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | spl0_392
    | ~ spl0_429 ),
    inference(rat,[],[s5652,s3922,s6333,s2718]) ).

cnf(s6683,plain,
    ( ~ spl0_23
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s2733,s1841,s538,s6329,s1786,s3073,s4644,s1829,s6682,s1982,s681,s6681,s1799,s6680,s5095,s4148,s2197,s5515,s5523,s6467,s6678,s5297,s6486,s2535,s4506,s5126,s6677,s6674,s1,s37,s6659,s1679,s255,s1827,s665,s814]) ).

cnf(s6684,plain,
    ( spl0_223
    | spl0_31
    | spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6669,s6664,s37]) ).

cnf(s6685,plain,
    ( spl0_206
    | ~ spl0_192
    | ~ spl0_223
    | ~ spl0_37
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_30
    | spl0_9
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6360,s1829,s4148,s4726,s6486,s2536,s6468,s681,s6402,s5622,s6347,s1653,s37,s3011,s6264,s3984,s1827,s814]) ).

cnf(s6686,plain,
    ( spl0_383
    | spl0_538
    | spl0_385
    | ~ spl0_206
    | ~ spl0_13
    | ~ spl0_2 ),
    inference(rat,[],[s2733,s1841,s538,s6329,s1786,s1827]) ).

cnf(s6687,plain,
    ( spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1982,s681,s4644,s4519,s1829,s6682,s1799,s3073,s3500,s6686,s4148,s6486,s5515,s2721,s5126,s6685,s3011,s6467,s6684,s6264,s2524,s4146,s5018,s6683,s6659,s255,s1,s3984,s25,s37,s1827,s665,s814]) ).

cnf(s6688,plain,
    ( spl0_206
    | ~ spl0_393
    | spl0_392
    | ~ spl0_219
    | ~ spl0_20
    | ~ spl0_30
    | ~ spl0_10 ),
    inference(rat,[],[s6486,s6682,s6113,s1829,s5900,s5615,s6347,s1653,s814,s1827]) ).

cnf(s6689,plain,
    ( spl0_99
    | ~ spl0_309
    | ~ spl0_538
    | ~ spl0_196
    | ~ spl0_219
    | ~ spl0_23
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4923,s2479,s2399,s267,s142,s5424,s4315,s131,s242]) ).

cnf(s6690,plain,
    ( ~ spl0_279
    | ~ spl0_538
    | spl0_392
    | ~ spl0_386
    | ~ spl0_219
    | ~ spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s267,s466,s164,s171,s3118,s319,s2386,s2488,s363,s186,s6689,s6490,s4195,s3587,s5845,s6032,s6486,s2535,s4506,s1841,s4686,s5126,s6688,s1799,s4070,s5018,s5533,s25,s814,s1827,s665]) ).

cnf(s6691,plain,
    ( spl0_315
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_393 ),
    inference(rat,[],[s3165,s5845,s6486,s814]) ).

cnf(s6694,plain,
    ( spl0_99
    | ~ spl0_150
    | ~ spl0_538
    | ~ spl0_196
    | ~ spl0_219
    | spl0_9
    | spl0_4 ),
    inference(rat,[],[s2399,s4923,s3109,s142,s2479,s5953,s6213,s4315,s131,s37,s242]) ).

cnf(s6696,plain,
    ( spl0_87
    | ~ spl0_368
    | spl0_274
    | spl0_47
    | ~ spl0_200
    | ~ spl0_527
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(rat,[],[s3117,s2399,s171,s6066,s370,s267,s242]) ).

cnf(s6704,plain,
    ( spl0_323
    | ~ spl0_363
    | ~ spl0_195
    | ~ spl0_193
    | ~ spl0_30 ),
    inference(rat,[],[s5843,s5225,s3796]) ).

cnf(s6705,plain,
    ( ~ spl0_363
    | ~ spl0_386
    | ~ spl0_195
    | ~ spl0_193
    | spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s4828,s4685,s6704]) ).

cnf(s6707,plain,
    ( ~ spl0_301
    | spl0_327
    | spl0_558
    | ~ spl0_310
    | ~ spl0_110
    | spl0_607
    | spl0_309 ),
    inference(rat,[],[s2755,s6529,s5296,s6101,s6396,s1776]) ).

cnf(s6708,plain,
    ( ~ spl0_368
    | spl0_607
    | ~ spl0_364
    | spl0_274
    | spl0_117
    | ~ spl0_90
    | ~ spl0_99
    | spl0_47
    | spl0_309
    | ~ spl0_200
    | ~ spl0_527
    | ~ spl0_196
    | spl0_377
    | ~ spl0_195
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4205,s6258,s5045,s5053,s6527,s6707,s2105,s1828,s3784,s4263,s2177,s5323,s2396,s3117,s5301,s171,s5282,s164,s5515,s6696,s4519,s1799,s681,s1776,s1827,s1178,s665]) ).

cnf(s6709,plain,
    ( spl0_223
    | ~ spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s5516,s3922,s1829,s6708,s5409,s1830,s6705,s2488,s363,s186,s6694,s261,s77,s1212,s6691,s53,s2422,s1208,s2503,s681,s2509,s3195,s65,s1679,s6690,s5357,s3545,s6329,s1841,s4686,s4506,s5126,s6688,s1799,s2718,s4070,s5221,s6261,s6197,s1786,s6664,s5702,s1835,s3984,s25,s5018,s5533,s37,s1827,s665]) ).

cnf(s6712,plain,
    ( spl0_323
    | spl0_466
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s6306,s2151,s3796]) ).

cnf(s6713,plain,
    ( ~ spl0_302
    | spl0_42
    | ~ spl0_315
    | ~ spl0_196
    | ~ spl0_23
    | spl0_11
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s4954,s4828,s6445,s6712,s3276,s3605]) ).

cnf(s6714,plain,
    ( ~ spl0_364
    | ~ spl0_301
    | ~ spl0_527
    | spl0_38
    | ~ spl0_560
    | ~ spl0_365
    | ~ spl0_223
    | ~ spl0_23 ),
    inference(rat,[],[s5661,s2140,s5017,s3071,s5418]) ).

cnf(s6715,plain,
    ( ~ spl0_200
    | ~ spl0_197
    | ~ spl0_196
    | ~ spl0_393
    | ~ spl0_223
    | ~ spl0_23
    | ~ spl0_20
    | spl0_11
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s1828,s3755,s5405,s2141,s6712,s5661,s6445,s5046,s1830,s6714,s3179,s6527,s6713,s6470,s2977,s5357,s2721,s6113,s6357,s6356,s3970,s6691,s1829,s6033,s1208,s4519,s2503,s5900,s681,s4506,s1726,s5523,s1841,s2733,s5515,s37,s6467,s1827,s1607,s1776]) ).

cnf(s6716,plain,
    ( ~ spl0_364
    | ~ spl0_301
    | ~ spl0_24
    | ~ spl0_527
    | ~ spl0_370
    | ~ spl0_365
    | ~ spl0_13 ),
    inference(rat,[],[s2154,s2611,s3175,s2081,s6529,s2140,s6101,s3071,s5409,s1776]) ).

cnf(s6717,plain,
    ( ~ spl0_323
    | ~ spl0_491
    | ~ spl0_279
    | ~ spl0_381
    | ~ spl0_468
    | ~ spl0_368
    | spl0_560
    | ~ spl0_429
    | ~ spl0_196
    | ~ spl0_23
    | spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s1828,s4280,s2105,s4031,s5100,s3770,s6529,s4787,s4817,s4828,s1827,s1776]) ).

cnf(s6718,plain,
    ( ~ spl0_301
    | ~ spl0_279
    | ~ spl0_381
    | ~ spl0_468
    | ~ spl0_368
    | spl0_560
    | ~ spl0_429
    | ~ spl0_370
    | spl0_200
    | ~ spl0_196
    | ~ spl0_23
    | spl0_11
    | ~ spl0_30
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6530,s5027,s3175,s5746,s3796,s6173,s6717,s5626,s6479,s814,s665]) ).

cnf(s6719,plain,
    ( ~ spl0_195
    | ~ spl0_196
    | ~ spl0_393
    | ~ spl0_223
    | ~ spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1828,s5053,s3950,s4828,s2832,s5120,s2645,s6527,s6718,s1679,s65,s3195,s1724,s5357,s3073,s3545,s2718,s4644,s2444,s1829,s5617,s2002,s3970,s6490,s4395,s6691,s5297,s6486,s5579,s5785,s3841,s6347,s1982,s6479,s6715,s4504,s1841,s2733,s538,s25,s5018,s5533,s5515,s37,s6467,s1827,s1776,s814,s665]) ).

cnf(s6720,plain,
    ( ~ spl0_200
    | ~ spl0_365
    | ~ spl0_42
    | spl0_385
    | spl0_344
    | ~ spl0_393
    | ~ spl0_223
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(rat,[],[s6691,s6113,s1208,s6681,s2503,s5900,s681]) ).

cnf(s6721,plain,
    ( ~ spl0_365
    | ~ spl0_203
    | spl0_385
    | ~ spl0_196
    | ~ spl0_393
    | ~ spl0_223
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s3970,s4395,s1829,s5579,s4644,s3841,s1982,s6720,s4504,s4506,s6470,s5428,s1827]) ).

cnf(s6722,plain,
    ( ~ spl0_196
    | ~ spl0_393
    | ~ spl0_223
    | ~ spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4144,s6681,s5975,s681,s1982,s3841,s1840,s1841,s6721,s6470,s5428,s3073,s1786,s6719,s5515,s4506,s5018,s5533,s37,s6467,s1827]) ).

cnf(s6723,plain,
    ( ~ spl0_306
    | spl0_47
    | spl0_38
    | ~ spl0_23
    | ~ spl0_20
    | spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4863,s4828,s2154,s5661,s6446,s5077]) ).

cnf(s6724,plain,
    ( ~ spl0_301
    | ~ spl0_421
    | ~ spl0_305
    | spl0_315 ),
    inference(rat,[],[s5744,s3903,s6486,s814]) ).

cnf(s6725,plain,
    ( ~ spl0_360
    | ~ spl0_302
    | spl0_306
    | ~ spl0_366
    | ~ spl0_305
    | ~ spl0_319
    | ~ spl0_192 ),
    inference(rat,[],[s5476,s6455,s2893,s1830,s6530,s1828,s4868,s3271,s3887,s1829,s4726,s2141,s3580,s1827,s814,s1607]) ).

cnf(s6726,plain,
    ( ~ spl0_393
    | ~ spl0_223
    | ~ spl0_20
    | spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1643,s3796,s5144,s4828,s6725,s6527,s6724,s2141,s6723,s6212,s261,s77,s2444,s1786,s1679,s5975,s3011,s2197,s53,s1841,s6682,s2184,s6691,s6486,s1829,s1208,s6113,s4726,s2002,s5900,s6108,s6347,s1653,s4144,s5126,s6722,s3984,s25,s5523,s6467,s5018,s5533,s37,s1776,s1607,s1827,s814]) ).

cnf(s6727,plain,
    ( ~ spl0_301
    | ~ spl0_313
    | ~ spl0_206
    | ~ spl0_305
    | spl0_315
    | ~ spl0_23
    | ~ spl0_20
    | spl0_11
    | ~ spl0_30
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s6453,s3663,s4828,s6712,s5077,s2140,s6724,s3694]) ).

cnf(s6728,plain,
    ( ~ spl0_200
    | ~ spl0_196
    | ~ spl0_47
    | ~ spl0_383
    | spl0_195
    | ~ spl0_223
    | ~ spl0_31
    | ~ spl0_20
    | spl0_11
    | ~ spl0_30
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s4238,s1828,s6518,s1830,s3887,s4863,s4868,s4828,s6712,s3276,s3580,s6527,s6727,s1688,s3841,s4144,s1840,s5975,s1841,s4505,s3970,s5095,s1829,s1208,s6486,s4519,s2503,s1212,s681,s5428,s3073,s4506,s5018,s5515,s37,s6467,s1827,s1429,s1776,s814]) ).

cnf(s6729,plain,
    ( ~ spl0_196
    | ~ spl0_47
    | spl0_195
    | ~ spl0_223
    | ~ spl0_31
    | ~ spl0_20
    | spl0_11
    | ~ spl0_30
    | ~ spl0_13
    | ~ spl0_7
    | spl0_4 ),
    inference(rat,[],[s4505,s5095,s3970,s1841,s6486,s1829,s1840,s5579,s4644,s3841,s1982,s6728,s5428,s3073,s1786,s6467,s5018,s1827,s814]) ).

cnf(s6730,plain,
    ( spl0_11
    | spl0_9
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s4195,s3587,s1208,s6032,s6486,s2002,s1841,s1212,s6108,s5975,s6347,s1653,s4144,s5126,s6729,s5428,s5981,s3073,s1786,s538,s1726,s1798,s6726,s5523,s6467,s6709,s5018,s5533,s6687,s1,s3984,s4,s25,s37,s10,s6139,s4052,s814,s1827]) ).

cnf(s6731,plain,
    ( ~ spl0_206
    | spl0_344
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s1982,s681,s3841,s2503,s5579,s4326,s6182]) ).

cnf(s6733,plain,
    ( spl0_306
    | ~ spl0_305
    | spl0_315
    | ~ spl0_217
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s1638,s6527,s2151,s3796,s6724,s5176,s2141,s1776,s1607]) ).

cnf(s6734,plain,
    ( spl0_223
    | spl0_206
    | ~ spl0_20
    | ~ spl0_23
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1799,s6688,s4070,s5230,s6261,s6197,s1786,s6664,s5702,s1835,s3984,s25,s37,s665]) ).

cnf(s6735,plain,
    ( spl0_206
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5175,s1830,s2879,s3016,s5949,s6205,s6734,s2935,s6712,s5077,s6733,s1208,s6113,s6468,s2002,s5900,s681,s6108,s6347,s1653,s3984,s25,s5533,s37,s1827]) ).

cnf(s6736,plain,
    ( ~ spl0_196
    | ~ spl0_206
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6731,s4506]) ).

cnf(s6738,plain,
    ( ~ spl0_323
    | spl0_493
    | ~ spl0_206
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s6529,s3734,s3041,s5176,s4326,s1776]) ).

cnf(s6739,plain,
    ( ~ spl0_302
    | ~ spl0_344
    | ~ spl0_393
    | spl0_392
    | ~ spl0_219
    | ~ spl0_206
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s3083,s5324,s1828,s2141,s2143,s5123,s2151,s3796,s6738,s3605,s6182,s2718,s1827,s1607]) ).

cnf(s6740,plain,
    ( ~ spl0_200
    | ~ spl0_393
    | spl0_392
    | ~ spl0_219
    | ~ spl0_206
    | ~ spl0_31
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s3083,s5324,s2141,s1828,s5077,s2143,s6712,s3796,s3021,s2786,s6527,s6739,s2503,s6402,s681,s2002,s4326,s2718,s1607,s1827,s1776]) ).

cnf(s6741,plain,
    ( ~ spl0_301
    | ~ spl0_391
    | ~ spl0_367
    | spl0_201
    | ~ spl0_393
    | ~ spl0_219
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_30 ),
    inference(rat,[],[s2143,s1828,s3796,s3430,s2793,s3021,s1827]) ).

cnf(s6742,plain,
    ( spl0_223
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3798,s6447,s5994,s1830,s5168,s6704,s3796,s2141,s6738,s6062,s3605,s6527,s6741,s6333,s1829,s5999,s605,s5573,s5785,s5204,s2504,s1982,s6740,s1799,s4070,s5230,s6261,s6197,s1786,s6664,s5702,s1835,s3984,s25,s6182,s4326,s6735,s5533,s37,s1607,s1827,s1776,s665]) ).

cnf(s6743,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2690,s3583,s1829,s5708,s1870,s4351,s3619,s1841,s3017,s6205,s6742,s4326,s6182,s6735,s5533,s37,s1827]) ).

cnf(s6744,plain,
    ( ~ spl0_392
    | ~ spl0_315
    | spl0_196
    | ~ spl0_206
    | ~ spl0_197
    | ~ spl0_24
    | ~ spl0_23
    | ~ spl0_10 ),
    inference(rat,[],[s3294,s5847,s3584,s1841,s5523,s2733,s2197,s4662,s1679,s5127,s1827]) ).

cnf(s6745,plain,
    ( ~ spl0_31
    | spl0_196
    | ~ spl0_206
    | spl0_223
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6530,s5027,s2696,s5746,s3796,s6173,s3021,s6527,s1982,s6479,s6739,s6740,s6744,s2535,s6182,s25,s1679,s255,s6743,s6664,s538,s1799,s4070,s6261,s1786,s5702,s37,s3984,s1835,s814,s1776,s665]) ).

cnf(s6746,plain,
    ( ~ spl0_301
    | spl0_201
    | ~ spl0_468
    | ~ spl0_41
    | ~ spl0_206
    | spl0_377
    | ~ spl0_219
    | spl0_20
    | ~ spl0_11
    | ~ spl0_30
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s2234,s1828,s6234,s1690,s2143,s2046,s5746,s3796,s2793,s3021,s6659,s17,s1827]) ).

cnf(s6747,plain,
    ( ~ spl0_362
    | ~ spl0_421
    | spl0_392
    | ~ spl0_393 ),
    inference(rat,[],[s3083,s5324,s2718]) ).

cnf(s6753,plain,
    ( spl0_310
    | ~ spl0_544
    | spl0_201
    | ~ spl0_219
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s267,s4313,s2479,s1946,s3779,s2004,s2399,s1827,s242]) ).

cnf(s6754,plain,
    ( ~ spl0_87
    | ~ spl0_371
    | spl0_122
    | ~ spl0_310
    | ~ spl0_374
    | ~ spl0_326
    | ~ spl0_323
    | ~ spl0_344
    | spl0_392
    | ~ spl0_219
    | ~ spl0_32
    | ~ spl0_11
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6649,s6310,s2479,s4315,s6473,s690,s1972,s171,s6540,s3499,s5743,s5639,s665]) ).

cnf(s6755,plain,
    ( spl0_346
    | spl0_122
    | ~ spl0_310
    | ~ spl0_374
    | ~ spl0_326
    | ~ spl0_323
    | ~ spl0_344
    | spl0_392
    | ~ spl0_219
    | ~ spl0_32
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1972,s2137,s4315,s267,s6754,s2154,s665]) ).

cnf(s6756,plain,
    ( ~ spl0_87
    | spl0_348
    | ~ spl0_346
    | spl0_495
    | ~ spl0_310
    | ~ spl0_638
    | ~ spl0_326
    | ~ spl0_344
    | ~ spl0_11
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6649,s4315,s6433,s689,s171,s3691,s6540,s5743]) ).

cnf(s6757,plain,
    ( ~ spl0_323
    | ~ spl0_302
    | spl0_201
    | ~ spl0_200
    | ~ spl0_315
    | spl0_392
    | spl0_47
    | spl0_196
    | ~ spl0_206
    | ~ spl0_393
    | spl0_223
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_627
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4142,s1972,s1959,s4315,s267,s6756,s5805,s6755,s3617,s3019,s6753,s3755,s1828,s6747,s2141,s2507,s3734,s5635,s6490,s3584,s5516,s3294,s3922,s5847,s1829,s1841,s2424,s3339,s3467,s1830,s6432,s6342,s4081,s2472,s6529,s3041,s6664,s1724,s538,s1786,s5702,s5127,s2718,s2535,s1679,s681,s3605,s665,s1892,s1827,s1607,s814,s1776]) ).

cnf(s6758,plain,
    ( spl0_323
    | ~ spl0_468
    | ~ spl0_41
    | spl0_377
    | ~ spl0_219
    | spl0_20
    | ~ spl0_30
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s2234,s1828,s6234,s1690,s2143,s2045,s5746,s2151,s3796,s6659,s17,s1827]) ).

cnf(s6759,plain,
    ( ~ spl0_200
    | spl0_217
    | ~ spl0_315
    | ~ spl0_323
    | spl0_392
    | spl0_47
    | spl0_196
    | ~ spl0_206
    | ~ spl0_393
    | spl0_223
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_627
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2405,s6757,s681,s6527,s3021,s1776]) ).

cnf(s6760,plain,
    ( ~ spl0_371
    | spl0_200
    | ~ spl0_303
    | spl0_392
    | spl0_47
    | ~ spl0_393
    | ~ spl0_195
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(rat,[],[s1828,s6747,s3334,s2141,s2065,s5641,s1827,s1607]) ).

cnf(s6761,plain,
    ( ~ spl0_315
    | ~ spl0_323
    | ~ spl0_41
    | ~ spl0_37
    | spl0_47
    | spl0_196
    | ~ spl0_206
    | ~ spl0_393
    | spl0_223
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_627
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1828,s6747,s3334,s2141,s3175,s2873,s2154,s6760,s3310,s605,s5204,s1982,s6759,s2536,s2535,s1679,s1786,s5702,s3646,s6664,s6529,s3041,s1827,s1607,s1776]) ).

cnf(s6762,plain,
    ( ~ spl0_310
    | ~ spl0_200
    | ~ spl0_346
    | ~ spl0_592
    | ~ spl0_385
    | ~ spl0_368
    | ~ spl0_302
    | ~ spl0_195
    | ~ spl0_13 ),
    inference(rat,[],[s4541,s2177,s3691,s5505,s267,s142,s3617,s6066,s1178]) ).

cnf(s6763,plain,
    ( ~ spl0_206
    | spl0_223
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6646,s2544,s6431,s267,s142,s4313,s1946,s2004,s6762,s5804,s1982,s3175,s2154,s5641,s2081,s2140,s6426,s6747,s1830,s1828,s2675,s6228,s3580,s1841,s6329,s6686,s1829,s4148,s6682,s6302,s6486,s6761,s6527,s6529,s3021,s3041,s6758,s2718,s3646,s280,s2524,s4146,s6745,s6678,s25,s6094,s255,s6659,s6743,s6664,s1799,s4070,s6261,s1786,s5702,s37,s3984,s1835,s1827,s814,s1776,s665]) ).

cnf(s6764,plain,
    ( spl0_223
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1829,s5804,s6675,s6347,s1653,s6763,s6664,s15,s1,s25,s37,s6743,s1827]) ).

cnf(s6765,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s2154,s2335,s3806,s5975,s1786,s3339,s3920,s2472,s1830,s6527,s6529,s3016,s3021,s3041,s681,s1841,s3017,s1827,s1776]) ).

cnf(s6766,plain,
    ( ~ spl0_377
    | ~ spl0_344
    | spl0_47
    | ~ spl0_366
    | ~ spl0_24
    | ~ spl0_13 ),
    inference(rat,[],[s1786,s3500,s2851]) ).

cnf(s6767,plain,
    ( ~ spl0_310
    | ~ spl0_368
    | ~ spl0_385
    | ~ spl0_195
    | ~ spl0_344
    | spl0_392
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_627
    | ~ spl0_13 ),
    inference(rat,[],[s6095,s171,s5505,s5743,s267,s142,s6066]) ).

cnf(s6768,plain,
    ( ~ spl0_195
    | ~ spl0_361
    | spl0_219
    | spl0_201
    | spl0_196
    | ~ spl0_344
    | spl0_392
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_627
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s267,s3691,s4313,s4930,s1946,s6406,s2004,s2399,s6767,s6102,s5739,s6527,s3305,s2145,s1737,s2733,s538,s1841,s3017,s3796,s6765,s25,s1827,s242,s1776,s1892]) ).

cnf(s6769,plain,
    ( ~ spl0_387
    | ~ spl0_421
    | spl0_418
    | ~ spl0_346
    | ~ spl0_24 ),
    inference(rat,[],[s6121,s3899,s6530,s1208,s2335,s2052,s5994,s814,s1607]) ).

cnf(s6770,plain,
    ( ~ spl0_315
    | ~ spl0_38
    | spl0_392
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_627
    | spl0_20
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1828,s6768,s2234,s6758,s2405,s6766,s2721,s2536,s2535,s17,s1679,s681,s1690,s5746,s4146,s6234,s6659,s2718,s1786,s5975,s6769,s2141,s2045,s280,s3673,s3204,s2524,s5949,s3796,s6765,s25,s255,s1841,s3017,s1827,s1607]) ).

cnf(s6772,plain,
    ( spl0_377
    | spl0_315
    | ~ spl0_385
    | ~ spl0_569
    | spl0_438
    | spl0_392
    | ~ spl0_308
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_21 ),
    inference(rat,[],[s6530,s5004,s6283,s6527,s2105,s2145,s1829,s1828,s6682,s2234,s1799,s6486,s814,s1776,s1827,s665]) ).

cnf(s6773,plain,
    ( spl0_392
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_627
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3502,s6183,s1828,s2145,s6527,s1200,s2503,s5523,s2851,s6670,s6772,s3981,s6486,s6770,s2733,s538,s1786,s5975,s6769,s6444,s5994,s6234,s2141,s3673,s2045,s3204,s6264,s280,s2524,s4146,s5949,s2718,s3984,s255,s6659,s17,s6743,s681,s1841,s3017,s3796,s25,s1690,s5746,s6765,s37,s1827,s1776,s814,s1607]) ).

cnf(s6774,plain,
    ( ~ spl0_367
    | spl0_192
    | ~ spl0_206
    | ~ spl0_223 ),
    inference(rat,[],[s2690,s3583,s1870]) ).

cnf(s6775,plain,
    ( ~ spl0_310
    | ~ spl0_596
    | ~ spl0_195
    | ~ spl0_302
    | ~ spl0_368
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s4427,s2177,s3691,s5505,s267,s3617,s6066,s4519,s681,s1178]) ).

cnf(s6776,plain,
    ( ~ spl0_206
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_627
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6646,s2544,s6431,s267,s142,s4313,s1946,s2004,s6775,s6183,s1786,s3502,s5975,s1828,s2405,s6769,s2145,s1638,s3673,s6527,s3204,s280,s6724,s6302,s6186,s4326,s1208,s4662,s4649,s4519,s1829,s6774,s5523,s2141,s2197,s5077,s6773,s6712,s2151,s3796,s6765,s1841,s3017,s25,s37,s1679,s255,s6743,s681,s1827,s1776,s1607]) ).

cnf(s6777,plain,
    ( ~ spl0_465
    | spl0_315
    | ~ spl0_305
    | ~ spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s6691,s1841,s1799,s3953,s4183,s1827,s665]) ).

cnf(s6778,plain,
    ( ~ spl0_371
    | spl0_219
    | spl0_315
    | spl0_47
    | ~ spl0_363
    | ~ spl0_305
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2309,s1828,s1737,s5633,s538,s1786,s3806,s3920,s6527,s6724,s2141,s5641,s5639,s6777,s1827,s1776,s1607]) ).

cnf(s6779,plain,
    ( ~ spl0_310
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s131,s6174,s5953,s5505,s267,s6066,s3109,s4519,s681]) ).

cnf(s6780,plain,
    ( ~ spl0_87
    | ~ spl0_420
    | ~ spl0_322
    | ~ spl0_433
    | spl0_392
    | ~ spl0_223
    | ~ spl0_627
    | ~ spl0_11
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6649,s6095,s4315,s171,s6174,s4768,s3783]) ).

cnf(s6781,plain,
    ( ~ spl0_195
    | spl0_392
    | ~ spl0_323
    | ~ spl0_200
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6174,s6266,s4315,s267,s6780,s6406,s2399,s6779,s6101,s6527,s3580,s1841,s6691,s1799,s5127,s4661,s4131,s3770,s2680,s3716,s6391,s6530,s2424,s3467,s5843,s538,s15,s1679,s6264,s2154,s6778,s5804,s1829,s6360,s4148,s6486,s6659,s5622,s2536,s2524,s6468,s681,s4146,s5949,s1830,s3016,s1208,s2002,s6108,s1653,s6776,s6764,s6094,s1,s3984,s255,s6743,s37,s242,s1776,s1827,s665,s814]) ).

cnf(s6782,plain,
    ( spl0_392
    | ~ spl0_323
    | ~ spl0_200
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6691,s1799,s1841,s3500,s5975,s1786,s6781,s2536,s2524,s4146,s5949,s255,s4144,s37,s6468,s681,s1208,s2002,s6108,s1653,s6776,s6764,s6094,s6743,s1,s3984,s665,s1827]) ).

cnf(s6783,plain,
    ( ~ spl0_310
    | spl0_348
    | ~ spl0_326
    | spl0_206
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s690,s2468,s6540,s267,s6065,s6103,s6468,s681]) ).

cnf(s6784,plain,
    ( ~ spl0_195
    | ~ spl0_392
    | ~ spl0_363
    | ~ spl0_323
    | ~ spl0_305
    | spl0_206
    | ~ spl0_200
    | spl0_20
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s267,s2178,s6262,s171,s3779,s3868,s2399,s6783,s1798,s4195,s3577,s6691,s6032,s1841,s1829,s2103,s3339,s2424,s6283,s2472,s6529,s6391,s3716,s2154,s6486,s6778,s2536,s3646,s2524,s2935,s2695,s3467,s2444,s538,s6659,s1653,s5622,s6468,s681,s2197,s1679,s255,s242,s1827,s1776,s814]) ).

cnf(s6785,plain,
    ( ~ spl0_315
    | spl0_193
    | ~ spl0_383
    | ~ spl0_217
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(rat,[],[s2434,s3500,s2536,s1212,s665]) ).

cnf(s6786,plain,
    ( ~ spl0_323
    | ~ spl0_200
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5175,s2879,s2935,s6733,s4146,s3500,s1798,s6691,s6785,s1841,s1308,s5975,s4135,s1786,s6784,s6782,s1830,s3016,s25,s255,s4144,s37,s6468,s681,s1208,s2002,s6108,s1653,s6776,s6764,s6094,s6743,s1,s3984,s1827]) ).

cnf(s6787,plain,
    ( ~ spl0_200
    | ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5609,s4787,s5127,s3770,s4506,s4819,s2535,s6101,s2193,s6724,s6530,s2141,s6527,s6283,s5077,s1638,s5144,s6712,s2151,s3796,s6786,s1208,s2002,s1688,s6108,s6468,s5622,s1653,s6776,s681,s3984,s25,s37,s6094,s1,s6659,s17,s1679,s255,s6743,s6764,s814,s1607,s1776]) ).

cnf(s6788,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_223
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s1760,s2335,s2678,s2108,s3580,s5222,s1830,s6527,s6529,s3016,s3021,s3041,s1841,s3017,s1827,s1776]) ).

cnf(s6789,plain,
    ( ~ spl0_195
    | ~ spl0_302
    | ~ spl0_304
    | spl0_306
    | spl0_371
    | ~ spl0_346
    | spl0_323
    | ~ spl0_366
    | spl0_201
    | ~ spl0_370
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_11 ),
    inference(rat,[],[s3899,s6121,s5994,s3673,s1208,s3204,s5635,s2950,s2444,s4662,s2718,s6234,s6298,s1828,s3664,s2145,s1830,s2733,s5843,s538,s1690,s2141,s3580,s1607,s1178,s1827]) ).

cnf(s6790,plain,
    ( ~ spl0_23
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s3204,s3673,s6186,s6769,s2052,s1760,s6789,s6527,s5027,s2141,s6530,s5077,s2696,s6712,s5746,s3796,s6173,s6788,s1841,s605,s3017,s5204,s6347,s1982,s6479,s6787,s6764,s6659,s255,s6743,s25,s37,s1776,s1607,s814,s1827,s665]) ).

cnf(s6791,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_11 ),
    inference(rat,[],[s3605,s6738,s6182,s6527,s3021,s1776]) ).

cnf(s6792,plain,
    ( ~ spl0_315
    | ~ spl0_38
    | ~ spl0_627
    | ~ spl0_323
    | ~ spl0_206
    | spl0_223
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6761,s2721,s4146,s2524,s6659,s1799,s1998,s280,s255,s5533,s6791,s1835,s1786,s5702,s665]) ).

cnf(s6793,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | spl0_223
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1947,s513,s2387,s267,s139,s4313,s269,s1946,s53,s2004,s5008,s6762,s2420,s2154,s3770,s5641,s6342,s2140,s6432,s6426,s6747,s1830,s1828,s3339,s6228,s5804,s1841,s1829,s6329,s6686,s6682,s4148,s6486,s6792,s1799,s1998,s3646,s6264,s280,s1679,s6659,s255,s6094,s5533,s2524,s4146,s6791,s2472,s6527,s6529,s3021,s3041,s3984,s681,s1835,s6664,s1724,s1786,s5702,s37,s1827,s814,s665,s1776]) ).

cnf(s6794,plain,
    ( ~ spl0_99
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_11 ),
    inference(rat,[],[s3813,s4019,s4785,s6244,s1959,s6182,s4326,s1892]) ).

cnf(s6795,plain,
    ( ~ spl0_87
    | ~ spl0_95
    | spl0_99
    | ~ spl0_438
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_219 ),
    inference(rat,[],[s6241,s2177,s2458,s2479,s5248,s513,s131,s1178]) ).

cnf(s6796,plain,
    ( spl0_99
    | ~ spl0_438
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_219
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s267,s6795,s142,s4315]) ).

cnf(s6797,plain,
    ( ~ spl0_206
    | spl0_223
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6758,s2718,s1998,s3646,s280,s255,s5533,s2524,s6794,s6796,s6298,s3664,s1828,s1830,s1690,s2143,s6704,s5746,s2151,s3796,s6793,s25,s1835,s6664,s1786,s5702,s37,s1827]) ).

cnf(s6798,plain,
    ( spl0_493
    | ~ spl0_306
    | ~ spl0_323
    | ~ spl0_309
    | ~ spl0_377
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s3718,s6527,s6114,s6101,s3446,s5409,s6530,s1830,s3734,s3904,s1776,s814,s1827]) ).

cnf(s6799,plain,
    ( ~ spl0_323
    | ~ spl0_309
    | ~ spl0_377
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_365
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s6101,s5409,s6530,s1830,s6527,s6283,s5843,s5123,s2154,s2900,s6798,s2106,s2879,s5176,s2503,s681,s814,s1827,s1776]) ).

cnf(s6800,plain,
    ( spl0_323
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_195
    | ~ spl0_193
    | ~ spl0_200
    | ~ spl0_30 ),
    inference(rat,[],[s6101,s5409,s6527,s6530,s1830,s1638,s6283,s5144,s6704,s2151,s3796,s1841,s4299,s1776,s814,s1827]) ).

cnf(s6801,plain,
    ( ~ spl0_20
    | spl0_206
    | ~ spl0_195
    | ~ spl0_219
    | ~ spl0_193
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6799,s6490,s1798,s4195,s3866,s3587,s6688,s6032,s3577,s6486,s5230,s6113,s6197,s5900,s5533,s1829,s5615,s1841,s4299,s6800,s6468,s681,s1653,s25,s814,s1827]) ).

cnf(s6802,plain,
    ( ~ spl0_47
    | ~ spl0_32
    | ~ spl0_374
    | ~ spl0_367
    | ~ spl0_313
    | ~ spl0_195
    | ~ spl0_200 ),
    inference(rat,[],[s6355,s6486,s6304,s1212,s2444,s814]) ).

cnf(s6803,plain,
    ( ~ spl0_99
    | ~ spl0_87
    | spl0_348
    | ~ spl0_322
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s6541,s6244,s689]) ).

cnf(s6804,plain,
    ( ~ spl0_87
    | spl0_348
    | ~ spl0_391
    | ~ spl0_393
    | ~ spl0_322
    | ~ spl0_31
    | ~ spl0_367
    | ~ spl0_217
    | ~ spl0_219
    | ~ spl0_11 ),
    inference(rat,[],[s5693,s3738,s2399,s2177,s2468,s2479,s131,s6803,s242,s1178]) ).

cnf(s6805,plain,
    ( ~ spl0_94
    | ~ spl0_31
    | spl0_47
    | ~ spl0_24
    | ~ spl0_11
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6244,s4314,s4315]) ).

cnf(s6806,plain,
    ( ~ spl0_315
    | ~ spl0_87
    | ~ spl0_346
    | ~ spl0_418
    | ~ spl0_31
    | ~ spl0_24
    | ~ spl0_365
    | ~ spl0_367
    | ~ spl0_217
    | ~ spl0_195
    | ~ spl0_219
    | ~ spl0_199
    | ~ spl0_11 ),
    inference(rat,[],[s2143,s1828,s6804,s3430,s6333,s1799,s2695,s4661,s3467,s1830,s5409,s6101,s6530,s6527,s2472,s3605,s4081,s538,s3770,s1679,s3673,s1827,s665,s814,s1776]) ).

cnf(s6807,plain,
    ( ~ spl0_309
    | spl0_607
    | ~ spl0_346
    | ~ spl0_322
    | ~ spl0_306
    | ~ spl0_200 ),
    inference(rat,[],[s6101,s6527,s6530,s5123,s2420,s2503,s681,s1776,s814]) ).

cnf(s6808,plain,
    ( ~ spl0_31
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_323
    | ~ spl0_374
    | ~ spl0_365
    | ~ spl0_367
    | ~ spl0_313
    | ~ spl0_217
    | ~ spl0_195
    | ~ spl0_219
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2399,s3779,s2468,s2479,s131,s6803,s1638,s6527,s3622,s4195,s1208,s6807,s5409,s1830,s1828,s3467,s5051,s2695,s6304,s6355,s6032,s6486,s6806,s267,s6805,s3673,s2154,s5641,s3770,s5176,s2935,s681,s538,s1679,s6802,s242,s1776,s1827,s814]) ).

cnf(s6809,plain,
    ( spl0_223
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1998,s1798,s280,s6668,s6808,s6659,s255,s6801,s6800,s2507,s1841,s1829,s4299,s1688,s5615,s6468,s5622,s1653,s6797,s1786,s6664,s5702,s1835,s25,s37,s681,s1827]) ).

cnf(s6810,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | ~ spl0_223
    | ~ spl0_11 ),
    inference(rat,[],[s5175,s2879,s5176,s2935,s5949,s6205,s1830,s3016,s1827]) ).

cnf(s6811,plain,
    ( ~ spl0_195
    | ~ spl0_323
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6174,s6266,s4315,s267,s6780,s6406,s6101,s2399,s6527,s6779,s3770,s3580,s6296,s3716,s2678,s5897,s6391,s2154,s6530,s6778,s2424,s5804,s1841,s1829,s2507,s6360,s6312,s4148,s6394,s3467,s6784,s538,s15,s1830,s3016,s5622,s4146,s6094,s1679,s6685,s25,s6486,s6341,s2536,s2524,s6468,s681,s6659,s1208,s3306,s280,s255,s5533,s37,s6810,s1653,s6765,s6809,s67,s6790,s1,s242,s1776,s814,s1827]) ).

cnf(s6812,plain,
    ( ~ spl0_323
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6691,s1799,s1841,s3500,s5975,s1786,s6811,s1208,s3306,s2536,s280,s255,s5533,s2524,s4146,s6810,s6468,s1653,s4144,s6765,s37,s681,s6809,s67,s6790,s1,s665,s1827]) ).

cnf(s6813,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s5981,s255,s1786,s6766,s2851,s2503,s1212,s6205,s4326,s6182,s681,s1841,s3017,s1827]) ).

cnf(s6814,plain,
    ( ~ spl0_315
    | ~ spl0_385
    | ~ spl0_38
    | ~ spl0_627
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4662,s6770,s255,s5533,s6813]) ).

cnf(s6815,plain,
    ( spl0_392
    | spl0_315
    | ~ spl0_195
    | spl0_306
    | ~ spl0_569
    | ~ spl0_21
    | ~ spl0_32
    | ~ spl0_24
    | spl0_47
    | ~ spl0_366
    | spl0_371
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s3664,s6298,s1830,s1828,s5843,s2145,s3580,s6527,s1200,s2503,s6766,s6772,s6234,s2718,s681,s1690,s2733,s538,s3981,s6486,s1827,s1776,s814]) ).

cnf(s6816,plain,
    ( ~ spl0_206
    | spl0_323
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s513,s1947,s267,s2387,s4313,s139,s1946,s2004,s6775,s6183,s3502,s1828,s2405,s2145,s1638,s269,s6527,s53,s1200,s5008,s4649,s1829,s6774,s3011,s2197,s6815,s3981,s6486,s6814,s2733,s538,s1786,s5975,s6769,s2141,s2045,s5994,s6264,s280,s1679,s3673,s17,s6659,s255,s6094,s3204,s5533,s2524,s4146,s6813,s1841,s3017,s3984,s681,s6809,s3796,s25,s2151,s1690,s5746,s37,s1827,s1776,s814,s1607]) ).

cnf(s6817,plain,
    ( ~ spl0_99
    | ~ spl0_87
    | ~ spl0_335
    | ~ spl0_31
    | ~ spl0_223
    | ~ spl0_11 ),
    inference(rat,[],[s2178,s6244,s6174]) ).

cnf(s6818,plain,
    ( ~ spl0_87
    | ~ spl0_335
    | ~ spl0_31
    | ~ spl0_607
    | ~ spl0_217
    | ~ spl0_346
    | spl0_323
    | ~ spl0_223
    | ~ spl0_11 ),
    inference(rat,[],[s6406,s2399,s3691,s2468,s4930,s131,s6817,s242]) ).

cnf(s6819,plain,
    ( ~ spl0_20
    | ~ spl0_31
    | spl0_206
    | spl0_323
    | ~ spl0_223
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6244,s4315,s370,s267,s6818,s1726,s538,s1786,s5981,s5168,s6400,s6486,s6113,s5900,s6101,s6530,s6283,s5144,s1653,s6527,s1638,s6468,s681,s3796,s25,s2151,s6205,s814,s1776]) ).

cnf(s6820,plain,
    ( ~ spl0_31
    | spl0_206
    | spl0_323
    | ~ spl0_223
    | ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4005,s3652,s4785,s1850,s6174,s4315,s267,s6818,s2197,s1679,s255,s6819,s5949,s6205,s6101,s6530,s6283,s5144,s1653,s6527,s1638,s6468,s681,s3796,s25,s2151,s1178,s1776,s814]) ).

cnf(s6821,plain,
    ( ~ spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6486,s6400,s2536,s3673,s255,s3204,s5533,s2524,s6820,s6101,s6530,s6527,s6283,s1638,s5144,s6468,s1653,s6816,s2151,s3796,s6812,s6809,s681,s1,s25,s37,s67,s6790,s814,s1776]) ).

cnf(s6822,plain,
    ( ~ spl0_31
    | spl0_223
    | ~ spl0_206
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6298,s3664,s1828,s1830,s1690,s2143,s6796,s6704,s5746,s2151,s3796,s6794,s6791,s25,s1835,s6664,s1786,s5702,s1827]) ).

cnf(s6823,plain,
    ( spl0_223
    | spl0_200
    | ~ spl0_11
    | spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2234,s6234,s1828,s2081,s2145,s3175,s6686,s2154,s1690,s4148,s6760,s6486,s6529,s6792,s3041,s6527,s6758,s6746,s1799,s2718,s1998,s3646,s6264,s280,s17,s6659,s255,s6094,s5533,s2524,s4146,s6822,s1786,s6664,s5702,s1835,s3984,s6347,s25,s605,s5204,s1982,s37,s1827,s814,s1776,s665]) ).

cnf(s6824,plain,
    ( ~ spl0_31
    | ~ spl0_223
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s1760,s2444,s2052,s5635,s255,s5785,s6240,s5949,s6205,s4326,s1841,s3017,s1827]) ).

cnf(s6825,plain,
    ( spl0_9
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s3899,s2141,s6121,s5994,s1208,s2045,s3673,s5635,s280,s255,s3204,s5533,s2524,s4146,s6824,s6530,s3175,s3796,s6173,s6788,s6823,s6347,s1982,s6821,s6730,s25,s1,s37,s10,s6139,s4052,s1607,s814]) ).

cnf(s6826,plain,
    ( ~ spl0_360
    | ~ spl0_23
    | ~ spl0_319
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s3899,s6121,s5994,s2141,s4954,s6453,s2900,s2154,s6530,s2651,s3271,s255,s24,s1208,s2002,s1607,s814]) ).

cnf(s6827,plain,
    ( ~ spl0_195
    | spl0_315
    | ~ spl0_305
    | ~ spl0_23
    | ~ spl0_193
    | ~ spl0_217
    | ~ spl0_246 ),
    inference(rat,[],[s6691,s1799,s1841,s4070,s4299,s6261,s665,s1827]) ).

cnf(s6828,plain,
    ( ~ spl0_23
    | spl0_223
    | spl0_206
    | ~ spl0_200
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3011,s6235,s3584,s3587,s1798,s4195,s6691,s6032,s1841,s5975,s1786,s6827,s6486,s6113,s5900,s1208,s255,s2002,s24,s5127,s2219,s4144,s37,s6468,s681,s6108,s1653,s3984,s1835,s1827,s814]) ).

cnf(s6829,plain,
    ( ~ spl0_195
    | spl0_315
    | spl0_399
    | ~ spl0_193
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200 ),
    inference(rat,[],[s1829,s3577,s5615,s1841,s1737,s4299,s538,s1827]) ).

cnf(s6831,plain,
    ( ~ spl0_20
    | spl0_399
    | spl0_31
    | ~ spl0_63
    | ~ spl0_193
    | ~ spl0_319
    | spl0_206
    | ~ spl0_345
    | ~ spl0_200
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1716,s19,s1688,s280,s2223,s5617,s3306,s4726,s6490,s1829,s6691,s3577,s1799,s1841,s5981,s5975,s1786,s6829,s6113,s5900,s4144,s1653,s6468,s681,s4146,s814,s1827,s665]) ).

cnf(s6832,plain,
    ( spl0_223
    | ~ spl0_200
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6691,s1799,s1841,s3500,s5975,s1786,s1208,s6829,s3306,s2536,s280,s255,s6831,s2524,s4146,s3866,s5018,s67,s6828,s1835,s5127,s4144,s37,s6468,s681,s6108,s1653,s5126,s2219,s3984,s665,s1827]) ).

cnf(s6833,plain,
    ( ~ spl0_20
    | ~ spl0_365
    | ~ spl0_203
    | ~ spl0_367
    | ~ spl0_319
    | spl0_206
    | spl0_196
    | ~ spl0_200
    | ~ spl0_10 ),
    inference(rat,[],[s4195,s3587,s1208,s5428,s2002,s67,s3866,s3577,s6032,s6486,s6113,s5900,s814]) ).

cnf(s6834,plain,
    ( ~ spl0_200
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2536,s3577,s2524,s3866,s5018,s67,s24,s255,s6833,s1841,s3073,s5975,s1786,s1829,s1910,s4726,s6467,s6832,s6108,s6468,s1653,s4144,s5126,s2219,s681,s3984,s37,s1827]) ).

cnf(s6835,plain,
    ( ~ spl0_360
    | ~ spl0_386
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s6101,s6530,s6527,s5409,s5100,s2828,s1830,s2108,s2154,s4685,s2651,s3841,s1841,s4686,s814,s1776,s1827]) ).

cnf(s6836,plain,
    ( spl0_346
    | ~ spl0_301
    | spl0_417
    | spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s6530,s5016,s2065,s5688,s2154,s6518,s814,s1429]) ).

cnf(s6837,plain,
    ( ~ spl0_386
    | spl0_315
    | ~ spl0_23
    | ~ spl0_196
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5014,s5077,s6530,s6303,s3175,s6836,s6527,s5120,s2151,s6173,s4828,s6835,s2002,s6490,s6691,s1841,s1799,s4686,s4070,s3984,s37,s1982,s6834,s6486,s814,s1776,s1827,s665]) ).

cnf(s6838,plain,
    ( ~ spl0_360
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s5014,s6530,s6527,s5100,s2828,s6453,s2108,s2154,s2651,s6486,s5579,s3841,s814,s1776]) ).

cnf(s6839,plain,
    ( spl0_346
    | ~ spl0_362
    | spl0_417
    | spl0_195
    | ~ spl0_13 ),
    inference(rat,[],[s1830,s3806,s4238,s2154,s6518,s1786,s1827,s1429]) ).

cnf(s6840,plain,
    ( ~ spl0_23
    | ~ spl0_193
    | ~ spl0_20
    | ~ spl0_196
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6527,s5014,s3276,s5077,s6530,s6303,s3175,s6839,s1828,s5850,s2151,s6173,s4828,s6838,s6261,s6837,s6486,s5579,s3984,s37,s3841,s1982,s6834,s1776,s814,s1827]) ).

cnf(s6841,plain,
    ( spl0_346
    | ~ spl0_348
    | spl0_417
    | spl0_47
    | spl0_31
    | ~ spl0_20
    | ~ spl0_196
    | spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s3899,s6121,s5994,s5712,s3276,s2141,s6530,s6527,s6446,s2065,s6836,s2154,s1208,s2504,s1607,s814,s1776]) ).

cnf(s6842,plain,
    ( spl0_360
    | spl0_23
    | ~ spl0_20
    | ~ spl0_206
    | spl0_200
    | spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6396,s6527,s4216,s3276,s6530,s6303,s3175,s6841,s2151,s6173,s4647,s4828,s3984,s1982,s5126,s67,s1208,s2504,s4146,s5018,s37,s1776,s814]) ).

cnf(s6843,plain,
    ( ~ spl0_360
    | ~ spl0_196
    | spl0_200
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s5016,s5688,s6530,s6527,s5100,s2828,s2108,s2154,s6518,s2651,s3841,s1982,s814,s1776,s1429]) ).

cnf(s6844,plain,
    ( ~ spl0_20
    | ~ spl0_206
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3577,s1829,s1841,s4644,s1840,s3073,s1786,s1910,s6467,s3599,s1835,s65,s6840,s5579,s24,s6842,s3841,s1982,s6843,s5126,s6834,s1827]) ).

cnf(s6845,plain,
    ( ~ spl0_195
    | spl0_315
    | ~ spl0_305
    | ~ spl0_41
    | ~ spl0_196
    | spl0_11
    | ~ spl0_9
    | ~ spl0_246 ),
    inference(rat,[],[s6691,s1841,s1799,s4686,s1998,s6261,s1835,s6467,s1910,s1827,s665]) ).

cnf(s6846,plain,
    ( ~ spl0_206
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2140,s2046,s6747,s6839,s1828,s6184,s5850,s1835,s6467,s1840,s4686,s1841,s6691,s1799,s3500,s1786,s6845,s2721,s1208,s6264,s5635,s280,s2524,s4146,s5018,s24,s255,s6844,s2151,s6173,s4828,s6843,s3841,s5126,s3984,s37,s1982,s6834,s1827,s665]) ).

cnf(s6847,plain,
    ( ~ spl0_360
    | ~ spl0_371
    | ~ spl0_386
    | ~ spl0_23
    | ~ spl0_20 ),
    inference(rat,[],[s3798,s6447,s5994,s2141,s1830,s4954,s6453,s4685,s1799,s4070,s2900,s1607,s1827,s665]) ).

cnf(s6848,plain,
    ( ~ spl0_87
    | spl0_466
    | ~ spl0_47
    | spl0_309
    | ~ spl0_304
    | ~ spl0_348
    | spl0_346
    | ~ spl0_62
    | ~ spl0_443
    | spl0_11
    | ~ spl0_9 ),
    inference(rat,[],[s6137,s4068,s5496,s4936,s319,s186,s2281,s162]) ).

cnf(s6849,plain,
    ( ~ spl0_306
    | ~ spl0_47
    | spl0_309
    | ~ spl0_304
    | spl0_417
    | spl0_360
    | spl0_346
    | ~ spl0_345
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_443
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s2632,s6418,s319,s6098,s5496,s6111,s6137,s4068,s2542,s465,s6848,s5077,s65,s24,s2154,s2669,s2151,s4828,s2555]) ).

cnf(s6850,plain,
    ( spl0_87
    | spl0_309
    | spl0_417
    | spl0_360
    | spl0_346
    | ~ spl0_345
    | ~ spl0_62
    | ~ spl0_20
    | spl0_200
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s5249,s4453,s4810,s175,s6418,s319,s6098,s5496,s6111,s6137,s4068,s2084,s2542,s267,s307,s2669,s6527,s6836,s5700,s6114,s6530,s2065,s2154,s6479,s2555,s665,s814,s1776]) ).

cnf(s6851,plain,
    ( spl0_346
    | ~ spl0_345
    | ~ spl0_386
    | ~ spl0_195
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_201
    | spl0_387
    | spl0_200
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2093,s2629,s113,s272,s3168,s2281,s162,s6850,s2141,s6849,s5633,s1828,s6181,s5289,s3432,s1830,s1724,s77,s4866,s4122,s53,s1841,s1660,s6691,s1651,s1208,s2002,s6267,s6530,s6527,s2065,s6836,s2151,s6173,s4828,s6847,s2108,s2154,s6479,s5573,s1982,s65,s261,s24,s6215,s1870,s1910,s1799,s4070,s1607,s1827,s814,s1776,s665]) ).

cnf(s6852,plain,
    ( ~ spl0_195
    | ~ spl0_23
    | ~ spl0_20
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6747,s2141,s1828,s5077,s2143,s6303,s2151,s4828,s2651,s6851,s1799,s4070,s5127,s6261,s6840,s6307,s1835,s5221,s6467,s6197,s1910,s538,s3984,s6834,s4144,s37,s1653,s6846,s1607,s1827,s665]) ).

cnf(s6853,plain,
    ( ~ spl0_23
    | ~ spl0_20
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1835,s6467,s6200,s6538,s4070,s1798,s3148,s5618,s3545,s5982,s6490,s1829,s4195,s3577,s6032,s1841,s1760,s5242,s1786,s2952,s6852,s3599,s65,s24,s6479,s1653,s5573,s4144,s6846,s37,s1982,s6834,s814,s1827,s665]) ).

cnf(s6854,plain,
    ( ~ spl0_323
    | spl0_306
    | ~ spl0_193
    | ~ spl0_195
    | spl0_47
    | spl0_31
    | ~ spl0_63
    | ~ spl0_20
    | spl0_150
    | spl0_11
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s3798,s6447,s5994,s1799,s2680,s1998,s6264,s280,s261,s77,s1830,s53,s4685,s2773,s4828,s2524,s6261,s2141,s1607,s665,s1827]) ).

cnf(s6855,plain,
    ( spl0_418
    | ~ spl0_364
    | ~ spl0_393
    | ~ spl0_421 ),
    inference(rat,[],[s3798,s6447,s5994,s1607]) ).

cnf(s6856,plain,
    ( ~ spl0_87
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_55
    | ~ spl0_51
    | ~ spl0_37
    | spl0_11
    | ~ spl0_9 ),
    inference(rat,[],[s2387,s139,s5248,s131,s186,s162,s513]) ).

cnf(s6857,plain,
    ( spl0_346
    | ~ spl0_195
    | ~ spl0_20
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s186,s4453,s321,s175,s140,s267,s6856,s2429,s6264,s280,s1679,s65,s77,s5631,s53,s5754,s5025,s5892,s6530,s2065,s6841,s2151,s6173,s6854,s2141,s6446,s2154,s3984,s6215,s1653,s6846,s67,s2524,s2504,s4146,s5018,s6853,s37,s6834,s1835,s6467,s1910,s814,s1607]) ).

cnf(s6858,plain,
    ( spl0_24
    | spl0_61
    | spl0_47
    | ~ spl0_20
    | spl0_150
    | ~ spl0_13 ),
    inference(rat,[],[s53,s77,s1660,s261]) ).

cnf(s6859,plain,
    ( ~ spl0_346
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_305
    | ~ spl0_37
    | ~ spl0_370
    | spl0_11
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s3899,s2141,s6121,s5994,s2046,s3673,s6530,s3175,s3204,s2151,s6173,s4828,s2651,s1607,s814]) ).

cnf(s6860,plain,
    ( ~ spl0_20
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6691,s1799,s1841,s5981,s1760,s1786,s6857,s6859,s280,s6858,s1651,s1208,s2504,s2524,s4146,s5018,s6853,s5573,s1982,s4144,s6215,s1653,s6846,s37,s6834,s665,s1827]) ).

cnf(s6861,plain,
    ( ~ spl0_360
    | ~ spl0_393
    | ~ spl0_386
    | ~ spl0_421
    | ~ spl0_38 ),
    inference(rat,[],[s6855,s1830,s2680,s4685,s1827]) ).

cnf(s6862,plain,
    ( ~ spl0_195
    | spl0_346
    | spl0_537
    | spl0_47
    | ~ spl0_24
    | spl0_200
    | spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s2721,s6845,s5127,s6109,s6861,s5894,s6530,s6760,s1799,s3646,s1998,s6261,s6307,s1835,s6467,s1910,s538,s280,s6264,s2524,s5018,s24,s1208,s5635,s1982,s2141,s3508,s2154,s814,s665,s1607]) ).

cnf(s6863,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3922,s5516,s1829,s2718,s4726,s3011,s2223,s5127,s6120,s2721,s5312,s6691,s6034,s1799,s1841,s3500,s1760,s1786,s6862,s6859,s5581,s1208,s6264,s5635,s280,s2524,s4146,s5018,s67,s24,s6659,s255,s6860,s1653,s4144,s6846,s1982,s6834,s3984,s37,s1827,s665]) ).

cnf(s6864,plain,
    ( ~ spl0_193
    | ~ spl0_421
    | ~ spl0_371
    | spl0_618
    | ~ spl0_195
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5847,s3294,s1841,s3953,s5633,s1828,s6747,s6828,s1799,s5949,s4070,s5230,s6261,s3984,s3584,s1910,s5127,s2219,s1827,s665]) ).

cnf(s6865,plain,
    ( ~ spl0_362
    | spl0_596
    | ~ spl0_223
    | spl0_192 ),
    inference(rat,[],[s6183,s3502]) ).

cnf(s6866,plain,
    ( ~ spl0_371
    | spl0_47
    | ~ spl0_195
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4195,s6032,s1841,s3953,s5633,s1828,s6865,s4432,s1208,s6826,s2002,s6108,s6113,s1653,s6813,s1835,s6864,s2141,s6446,s3984,s5900,s6197,s37,s1870,s3584,s1910,s5127,s2219,s1827,s1607]) ).

cnf(s6867,plain,
    ( ~ spl0_193
    | ~ spl0_346
    | spl0_618
    | ~ spl0_195
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6747,s2141,s1828,s5077,s2143,s6303,s2151,s6791,s6828,s1799,s5949,s4070,s5230,s1737,s6261,s3984,s538,s1607,s1827,s665]) ).

cnf(s6868,plain,
    ( ~ spl0_346
    | spl0_618
    | ~ spl0_195
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6101,s6530,s6527,s6283,s1638,s5144,s2151,s6468,s1653,s6810,s6813,s1835,s6867,s5609,s2651,s681,s5127,s2219,s814,s1776]) ).

cnf(s6869,plain,
    ( ~ spl0_371
    | ~ spl0_195
    | spl0_4
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s6828,s6182,s5949,s1212,s2444,s6866]) ).

cnf(s6870,plain,
    ( ~ spl0_195
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6869,s2154,s6868,s6197,s37]) ).

cnf(s6871,plain,
    ( spl0_346
    | spl0_417
    | spl0_323
    | ~ spl0_193
    | spl0_576
    | spl0_195
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(rat,[],[s6847,s6258,s5850,s1830,s1828,s3806,s6839,s5305,s2154,s2952,s1786,s1827]) ).

cnf(s6872,plain,
    ( ~ spl0_304
    | ~ spl0_312
    | spl0_420
    | spl0_360
    | ~ spl0_345 ),
    inference(rat,[],[s6111,s6098,s4068,s2669]) ).

cnf(s6873,plain,
    ( spl0_47
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4358,s1841,s4316,s5975,s1829,s2335,s2675,s6529,s6872,s1870,s3755,s1828,s2895,s5429,s3806,s1830,s3635,s2141,s6418,s5153,s5077,s2458,s3691,s6303,s2651,s6871,s112,s171,s1733,s2593,s1947,s3513,s5953,s513,s6213,s4930,s131,s4453,s5225,s2151,s6173,s6794,s6791,s6828,s1835,s6858,s5703,s6205,s1799,s514,s5981,s46,s3984,s37,s5127,s2219,s65,s24,s2952,s2268,s1786,s6870,s1827,s1776,s1607,s2555,s1178,s665]) ).

cnf(s6874,plain,
    ( ~ spl0_23
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3584,s4195,s3073,s6032,s5428,s1841,s1208,s5949,s5975,s2002,s6828,s4144,s6108,s6182,s2950,s1212,s4076,s6873,s1786,s6870,s3984,s37,s5127,s2219,s1827,s1178]) ).

cnf(s6875,plain,
    ( ~ spl0_465
    | ~ spl0_24
    | spl0_376
    | spl0_196
    | ~ spl0_200
    | ~ spl0_31 ),
    inference(rat,[],[s5847,s1841,s4397,s3953,s4183,s1827]) ).

cnf(s6876,plain,
    ( ~ spl0_206
    | ~ spl0_377
    | ~ spl0_24
    | spl0_47
    | spl0_544
    | spl0_196
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s5847,s3294,s1841,s6766,s2535,s6182,s1679,s1827]) ).

cnf(s6877,plain,
    ( spl0_346
    | spl0_47
    | spl0_192
    | ~ spl0_195
    | ~ spl0_58
    | ~ spl0_63
    | spl0_487
    | spl0_196
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s3577,s1841,s1829,s6766,s4649,s6671,s6490,s5020,s6530,s3271,s6108,s6113,s1653,s6876,s6219,s6670,s6185,s2492,s3502,s1828,s5633,s6875,s65,s6507,s1353,s2141,s6446,s2154,s3866,s1870,s3584,s2223,s5127,s1827,s814,s1607]) ).

cnf(s6878,plain,
    ( ~ spl0_206
    | spl0_548
    | spl0_629
    | ~ spl0_346
    | spl0_192
    | ~ spl0_197
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s6527,s5123,s6117,s6185,s3502,s1828,s2143,s6307,s2151,s2503,s6813,s6791,s4326,s681,s1776,s1827]) ).

cnf(s6879,plain,
    ( ~ spl0_346
    | ~ spl0_195
    | ~ spl0_63
    | spl0_487
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s6101,s6530,s6527,s6283,s1638,s5144,s2151,s6810,s1835,s6829,s6113,s6468,s1653,s6878,s5974,s6219,s5609,s2651,s681,s5127,s3866,s2219,s538,s1870,s1910,s814,s1776]) ).

cnf(s6880,plain,
    ( ~ spl0_195
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2405,s6829,s2950,s3857,s1212,s4076,s2444,s6877,s6879,s1910,s3984,s4221,s681,s5900,s37,s3866,s67,s2219,s342,s22,s6874,s1178,s914]) ).

cnf(s6881,plain,
    ( ~ spl0_371
    | spl0_47
    | ~ spl0_383
    | ~ spl0_58
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s3806,s1830,s6173,s3059,s5176,s6446,s1799,s5981,s1827,s665]) ).

cnf(s6882,plain,
    ( ~ spl0_206
    | ~ spl0_346
    | ~ spl0_24
    | spl0_377
    | ~ spl0_383
    | ~ spl0_58
    | spl0_196
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_246 ),
    inference(rat,[],[s5123,s6527,s2140,s3622,s2492,s1828,s3755,s3584,s3294,s5847,s1841,s6303,s5975,s2151,s2052,s2535,s6791,s4326,s6182,s5127,s1679,s1776,s1827]) ).

cnf(s6883,plain,
    ( spl0_47
    | ~ spl0_383
    | spl0_46
    | ~ spl0_58
    | ~ spl0_63
    | spl0_196
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4726,s2223,s1829,s4397,s3577,s5847,s1841,s6108,s5975,s6113,s1653,s4144,s6882,s2154,s6881,s65,s6507,s5981,s46,s3984,s5900,s37,s5127,s3866,s1827]) ).

cnf(s6884,plain,
    ( ~ spl0_323
    | spl0_493
    | ~ spl0_428
    | ~ spl0_309
    | ~ spl0_377
    | ~ spl0_368
    | ~ spl0_365
    | spl0_195
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s5837,s6527,s1828,s6101,s5409,s4238,s6530,s1830,s3734,s3576,s5176,s2935,s5708,s1776,s1827,s814]) ).

cnf(s6885,plain,
    ( spl0_346
    | ~ spl0_309
    | ~ spl0_377
    | ~ spl0_368
    | ~ spl0_365
    | spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6101,s6527,s6530,s5409,s5837,s5902,s1830,s1828,s3806,s6839,s6173,s6884,s2900,s2154,s6518,s1786,s1776,s814,s1827,s1429]) ).

cnf(s6886,plain,
    ( ~ spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6101,s6530,s6527,s6283,s1638,s2103,s5609,s3656,s2651,s6885,s6490,s4397,s4195,s2223,s3584,s4726,s1829,s3577,s6032,s5847,s1841,s5975,s4144,s2405,s6108,s6182,s2950,s1212,s2408,s4076,s6883,s1786,s2268,s6880,s342,s3866,s22,s67,s6874,s5127,s2219,s681,s3984,s37,s814,s1776,s1607,s1827,s1178]) ).

cnf(s6887,plain,
    ( spl0_47
    | spl0_24
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6215,s6858,s1653,s1651,s4326,s2504]) ).

cnf(s6888,plain,
    ( ~ spl0_206
    | ~ spl0_393
    | spl0_392
    | ~ spl0_23
    | spl0_192
    | ~ spl0_195
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s3590,s4433,s6333,s1829,s5999,s5127,s5573,s6736,s6182,s1870,s1827]) ).

cnf(s6889,plain,
    ( ~ spl0_306
    | spl0_607
    | ~ spl0_309
    | spl0_493
    | spl0_320 ),
    inference(rat,[],[s6101,s6527,s6530,s2645,s3734,s1776,s814]) ).

cnf(s6890,plain,
    ( spl0_323
    | spl0_319
    | ~ spl0_196
    | spl0_346
    | spl0_200
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6527,s6836,s5120,s6173,s1776]) ).

cnf(s6891,plain,
    ( ~ spl0_196
    | spl0_315
    | ~ spl0_386
    | ~ spl0_23
    | spl0_493
    | spl0_346
    | spl0_320
    | spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s5016,s5688,s6527,s6530,s2645,s3734,s5176,s6890,s2002,s6490,s6691,s1841,s4686,s6518,s1799,s4070,s1776,s814,s1827,s665,s1429]) ).

cnf(s6892,plain,
    ( ~ spl0_301
    | ~ spl0_381
    | spl0_548
    | spl0_346
    | ~ spl0_195
    | spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s1828,s3334,s4280,s6836,s5626,s1827]) ).

cnf(s6893,plain,
    ( ~ spl0_323
    | spl0_548
    | spl0_607
    | spl0_315
    | spl0_387
    | ~ spl0_393
    | spl0_360
    | spl0_493
    | spl0_346
    | ~ spl0_388
    | ~ spl0_195
    | spl0_320
    | spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s3494,s2747,s6258,s1830,s4866,s6527,s6892,s1724,s4122,s1841,s6691,s1208,s6889,s5176,s2108,s1982,s2669,s1827,s1776]) ).

cnf(s6894,plain,
    ( ~ spl0_23
    | spl0_346
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5369,s6443,s1830,s4798,s3499,s4866,s319,s4453,s272,s1841,s2281,s2253,s162,s6691,s6850,s1208,s2002,s6201,s6527,s6836,s6173,s6893,s5974,s5609,s5127,s6891,s5573,s1653,s4144,s6888,s1799,s6847,s4070,s6261,s3857,s4076,s2444,s6887,s65,s24,s3984,s37,s4221,s5785,s1870,s1910,s2108,s1982,s6886,s2900,s2154,s1827,s1776,s665,s914]) ).

cnf(s6895,plain,
    ( ~ spl0_206
    | ~ spl0_58
    | spl0_346
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1353,s6062,s6507,s6527,s65,s6836,s2052,s6173,s5573,s6791,s4326,s6182,s5785,s1982,s1776]) ).

cnf(s6896,plain,
    ( ~ spl0_323
    | ~ spl0_196
    | spl0_315
    | spl0_493
    | ~ spl0_428
    | spl0_618
    | ~ spl0_195
    | spl0_320
    | spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_246 ),
    inference(rat,[],[s5016,s5688,s6530,s6527,s3734,s2645,s6490,s4195,s6032,s1841,s4686,s3587,s6261,s5221,s1835,s5176,s6810,s6486,s814,s1776,s1827]) ).

cnf(s6897,plain,
    ( ~ spl0_305
    | ~ spl0_304
    | ~ spl0_196
    | spl0_315
    | ~ spl0_58
    | ~ spl0_371
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_451
    | ~ spl0_246 ),
    inference(rat,[],[s4195,s6032,s1841,s4686,s6261,s3587,s3857,s2444,s6446,s5020,s6486,s1827,s914,s814]) ).

cnf(s6898,plain,
    ( ~ spl0_196
    | spl0_346
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1796,s4183,s3059,s5633,s1830,s1828,s65,s5805,s3502,s6507,s5949,s6185,s1353,s2444,s2645,s5617,s6490,s6897,s3276,s6530,s6527,s2065,s6836,s2151,s6173,s6896,s6219,s6843,s3984,s4221,s5785,s6197,s1870,s1910,s6518,s2900,s2154,s67,s5573,s4144,s6895,s342,s22,s6894,s37,s1982,s6886,s1827,s814,s1776,s1429]) ).

cnf(s6899,plain,
    ( ~ spl0_87
    | ~ spl0_304
    | ~ spl0_47
    | spl0_196
    | spl0_315
    | ~ spl0_63
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s5368,s5616,s3499,s2890,s319,s4453,s272,s2281,s2253,s162,s4076,s1827]) ).

cnf(s6900,plain,
    ( ~ spl0_324
    | ~ spl0_94
    | spl0_184
    | ~ spl0_306
    | ~ spl0_371
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s4785,s4453,s2632,s4850]) ).

cnf(s6901,plain,
    ( ~ spl0_323
    | ~ spl0_24
    | spl0_196
    | spl0_315
    | ~ spl0_63
    | ~ spl0_371
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2024,s1979,s5373,s4453,s2640,s1972,s6418,s6900,s6543,s2542,s267,s465,s6899,s6530,s2065,s2081,s6446,s5176,s665,s2555,s814]) ).

cnf(s6902,plain,
    ( spl0_309
    | spl0_196
    | ~ spl0_58
    | ~ spl0_63
    | spl0_346
    | ~ spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6131,s1731,s2175,s2396,s2024,s6222,s4269,s6136,s5373,s2216,s2640,s6418,s6221,s4068,s6543,s6900,s2542,s267,s465,s6899,s6446,s1830,s5020,s4866,s6530,s6527,s2065,s6836,s6173,s6901,s1841,s6691,s1799,s6260,s1829,s3158,s65,s3498,s6507,s5528,s1649,s1208,s1910,s2154,s2108,s5573,s4144,s6895,s1982,s5127,s2555,s1827,s814,s1776,s665]) ).

cnf(s6903,plain,
    ( ~ spl0_306
    | ~ spl0_309
    | spl0_493
    | ~ spl0_428
    | spl0_320
    | spl0_200 ),
    inference(rat,[],[s5016,s5688,s6530,s6527,s3734,s2645,s814,s1776]) ).

cnf(s6904,plain,
    ( ~ spl0_365
    | ~ spl0_24
    | spl0_376
    | spl0_399
    | spl0_196
    | spl0_315
    | ~ spl0_195
    | ~ spl0_370
    | ~ spl0_31 ),
    inference(rat,[],[s6260,s1829,s4397,s3577,s5847,s1827]) ).

cnf(s6905,plain,
    ( spl0_346
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3059,s1830,s1799,s4866,s6240,s1841,s6904,s6527,s65,s6836,s6507,s6173,s1353,s5176,s6903,s6902,s2223,s3866,s5127,s6898,s5573,s4144,s6895,s342,s22,s67,s6894,s2900,s2108,s2154,s6518,s37,s5785,s1982,s6886,s1910,s1827,s665,s1776,s1429]) ).

cnf(s6906,plain,
    ( ~ spl0_23
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6747,s2141,s1799,s1828,s5077,s4070,s2143,s6303,s6261,s6307,s3656,s3857,s5949,s2408,s4076,s2444,s6887,s24,s3984,s37,s4221,s6886,s538,s6905,s1607,s665,s1827,s914]) ).

cnf(s6907,plain,
    ( ~ spl0_387
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_195
    | ~ spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5409,s6101,s1830,s1841,s6527,s5843,s4686,s3276,s5225,s6261,s6303,s1835,s2151,s6530,s6824,s6791,s2335,s4144,s3984,s37,s1827,s1776,s814]) ).

cnf(s6908,plain,
    ( ~ spl0_323
    | spl0_315
    | ~ spl0_196
    | ~ spl0_346
    | spl0_618
    | ~ spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s6032,s4195,s1841,s1208,s4686,s2504,s3587,s6261,s5168,s5221,s1835,s2935,s6810,s6486,s1827,s814]) ).

cnf(s6909,plain,
    ( ~ spl0_196
    | ~ spl0_346
    | ~ spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5168,s6446,s6400,s5014,s5027,s6101,s6527,s3276,s6530,s6303,s3175,s2151,s6173,s6908,s6486,s5573,s6907,s3984,s6479,s1982,s6197,s37,s1776,s814,s665]) ).

cnf(s6910,plain,
    ( ~ spl0_387
    | ~ spl0_345
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | spl0_320
    | ~ spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6240,s1798,s1841,s4433,s4358,s3590,s4316,s6333,s5221,s1829,s6824,s4326,s5999,s4144,s1870,s1827]) ).

cnf(s6911,plain,
    ( ~ spl0_323
    | ~ spl0_345
    | ~ spl0_63
    | spl0_360
    | ~ spl0_346
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6530,s6114,s3175,s5752,s2081,s5528,s6887,s2504,s5168,s5176,s2935,s1982,s814]) ).

cnf(s6912,plain,
    ( ~ spl0_195
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6132,s3899,s5893,s5994,s2141,s5168,s2645,s5617,s5528,s6527,s5752,s6101,s6114,s6530,s3175,s6173,s6911,s6486,s5573,s6910,s5609,s5127,s6909,s67,s6906,s2651,s6905,s6197,s1910,s37,s5785,s1982,s6886,s1607,s1776,s814]) ).

cnf(s6913,plain,
    ( ~ spl0_315
    | ~ spl0_198
    | spl0_346
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6895,s342,s4144,s22,s5573,s5579,s1982]) ).

cnf(s6914,plain,
    ( ~ spl0_196
    | spl0_346
    | spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4183,s1798,s65,s3059,s6507,s342,s5632,s22,s1830,s1828,s2002,s3806,s6839,s6890,s6173,s1353,s5176,s6903,s6490,s4195,s6032,s1841,s1760,s4144,s6182,s6913,s3841,s5785,s1982,s1786,s5242,s6479,s6518,s2900,s2154,s1827,s814,s1429,s665]) ).

cnf(s6915,plain,
    ( ~ spl0_387
    | spl0_346
    | spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4070,s5703,s5850,s6871,s1828,s22,s6839,s65,s342,s1835,s6173,s2052,s6895,s6824,s6791,s4326,s4144,s1982,s1827]) ).

cnf(s6916,plain,
    ( spl0_346
    | spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6885,s1798,s1829,s3059,s3577,s342,s3866,s22,s67,s2002,s6201,s1830,s6527,s3806,s6836,s6173,s5176,s6903,s6490,s4195,s6032,s1841,s3858,s1760,s5573,s6915,s6914,s2900,s2154,s6518,s4221,s5785,s1982,s1786,s5242,s6479,s1827,s1776,s814,s1429,s665]) ).

cnf(s6917,plain,
    ( ~ spl0_315
    | ~ spl0_196
    | spl0_360
    | ~ spl0_346
    | ~ spl0_383
    | ~ spl0_436
    | ~ spl0_370
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s3494,s6202,s1870,s6258,s6240,s1840,s1830,s1841,s3806,s5356,s5027,s5016,s6527,s3276,s6303,s2151,s6173,s6530,s6791,s4326,s67,s2335,s4144,s5579,s5573,s3984,s37,s6479,s5785,s3841,s1827,s1776,s814,s665]) ).

cnf(s6918,plain,
    ( ~ spl0_196
    | spl0_360
    | spl0_195
    | spl0_200
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5016,s6527,s6530,s3276,s3175,s6303,s6172,s3656,s2408,s4076,s5617,s6490,s4195,s5356,s6032,s1841,s1760,s4144,s6182,s6917,s3984,s1982,s2952,s1786,s5242,s6479,s6916,s37,s1776,s814,s1607,s1827,s665]) ).

cnf(s6919,plain,
    ( ~ spl0_365
    | ~ spl0_206
    | spl0_196
    | spl0_544 ),
    inference(rat,[],[s3294,s5847]) ).

cnf(s6920,plain,
    ( ~ spl0_315
    | spl0_607
    | spl0_196
    | ~ spl0_346
    | spl0_544
    | ~ spl0_383
    | ~ spl0_436
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s3806,s5429,s1830,s5405,s6855,s4237,s1799,s1828,s6240,s4124,s1841,s6919,s2141,s6062,s6527,s65,s5168,s6101,s6173,s2052,s5617,s6530,s6791,s4326,s2335,s4144,s5573,s5785,s1827,s665,s1607,s1776,s814]) ).

cnf(s6921,plain,
    ( ~ spl0_20
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2141,s3899,s2645,s6132,s6527,s5893,s6101,s6530,s3175,s6172,s5994,s3656,s5168,s2408,s4076,s5617,s6490,s4195,s6032,s1841,s1760,s4144,s6182,s6486,s6920,s5609,s5127,s6918,s2651,s6916,s5242,s1786,s2952,s6912,s5785,s1982,s6479,s6886,s37,s1607,s1776,s814,s1827,s665]) ).

cnf(s6922,plain,
    ( ~ spl0_195
    | spl0_346
    | ~ spl0_200
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4358,s1841,s4316,s6766,s1829,s2503,s4649,s6490,s5020,s6530,s3271,s6108,s1653,s6876,s6219,s2492,s6185,s2141,s5641,s2197,s2444,s6394,s6312,s3502,s4305,s1828,s5633,s6875,s3584,s2223,s1870,s1910,s1679,s67,s342,s22,s24,s681,s5127,s2219,s2154,s1827,s814,s1607]) ).

cnf(s6923,plain,
    ( spl0_47
    | ~ spl0_383
    | ~ spl0_371
    | ~ spl0_58
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s1830,s3806,s3059,s6173,s1799,s5176,s3500,s5641,s1827,s665]) ).

cnf(s6924,plain,
    ( spl0_346
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6394,s2197,s6312,s4649,s2507,s6490,s5640,s4195,s6875,s3584,s2223,s4726,s1829,s3577,s6032,s1841,s5975,s6108,s4144,s3858,s6182,s1212,s6923,s1786,s6922,s2154,s3984,s37,s4221,s6659,s1679,s342,s22,s5127,s3866,s2219,s67,s24,s255,s6921,s6863,s814,s1827]) ).

cnf(s6925,plain,
    ( ~ spl0_303
    | ~ spl0_315
    | ~ spl0_201
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s2935,s5144,s4081,s6283,s2472,s681]) ).

cnf(s6926,plain,
    ( ~ spl0_304
    | ~ spl0_217
    | spl0_360
    | ~ spl0_346
    | ~ spl0_345 ),
    inference(rat,[],[s2151,s2085,s1638,s6527,s5752,s6101,s6114,s2669,s5609,s1776]) ).

cnf(s6927,plain,
    ( ~ spl0_195
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(rat,[],[s1835,s6810,s6829,s5144,s6925,s6283,s6529,s6926,s6468,s1653,s6878,s5974,s6219,s1870,s1910,s538,s681,s5127,s3866,s2219,s67,s24,s2651,s1776]) ).

cnf(s6928,plain,
    ( ~ spl0_315
    | ~ spl0_383
    | spl0_360
    | ~ spl0_346
    | spl0_196
    | ~ spl0_200
    | ~ spl0_58
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_246 ),
    inference(rat,[],[s6530,s6926,s6925,s6468,s1653,s6882,s3500,s1212,s681,s5127,s814]) ).

cnf(s6929,plain,
    ( ~ spl0_200
    | ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3500,s4397,s5168,s2223,s2935,s4726,s5144,s1829,s6283,s3577,s5847,s6529,s1841,s6926,s5975,s6108,s6468,s4144,s3858,s6182,s6928,s1786,s6927,s2651,s6924,s3866,s5127,s2219,s681,s3984,s37,s4221,s67,s342,s22,s24,s255,s6921,s6863,s1827,s1776,s814]) ).

cnf(s6931,plain,
    ( ~ spl0_323
    | spl0_360
    | ~ spl0_315
    | spl0_327
    | spl0_346
    | ~ spl0_443
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s5700,s3436,s6114,s6530,s2670,s2935,s6518,s814,s1429]) ).

cnf(s6932,plain,
    ( spl0_47
    | ~ spl0_304
    | ~ spl0_371
    | ~ spl0_370
    | ~ spl0_58
    | ~ spl0_24 ),
    inference(rat,[],[s5020,s1208,s5641,s5635]) ).

cnf(s6933,plain,
    ( ~ spl0_196
    | ~ spl0_195
    | ~ spl0_315
    | spl0_346
    | spl0_200
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4183,s6202,s5633,s3494,s1828,s6258,s4305,s1830,s6312,s5805,s6394,s5949,s2444,s6932,s3276,s6530,s6527,s2065,s6836,s2151,s6173,s6931,s6843,s67,s342,s22,s24,s6479,s2154,s2108,s1982,s1870,s1910,s1827,s814,s1776,s665]) ).

cnf(s6934,plain,
    ( ~ spl0_87
    | ~ spl0_364
    | spl0_392
    | spl0_37
    | ~ spl0_47
    | spl0_192
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6443,s5374,s3499,s5180,s319,s4453,s272,s2281,s2253,s162,s1827]) ).

cnf(s6936,plain,
    ( ~ spl0_122
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s6244,s1659,s4453]) ).

cnf(s6937,plain,
    ( ~ spl0_323
    | ~ spl0_195
    | ~ spl0_315
    | spl0_346
    | spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2640,s5373,s6418,s2032,s6543,s2137,s1979,s2542,s267,s6934,s1830,s4685,s2444,s6270,s6530,s6261,s3508,s2081,s2680,s2670,s1835,s6931,s5176,s2935,s6810,s3984,s67,s24,s6479,s6936,s255,s6921,s37,s2154,s2108,s1982,s1910,s2555,s1827,s814,s665]) ).

cnf(s6938,plain,
    ( ~ spl0_195
    | ~ spl0_315
    | spl0_346
    | ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s2640,s5373,s6418,s2032,s6543,s2137,s1979,s2542,s267,s6934,s1830,s4866,s1841,s5847,s4397,s4183,s5633,s1828,s4305,s6312,s6394,s4076,s2444,s6932,s6530,s6527,s2065,s6836,s6173,s6937,s2223,s5127,s6933,s1910,s6659,s67,s342,s22,s24,s6936,s255,s6921,s6863,s37,s2154,s2108,s1982,s6929,s2555,s1827,s814,s1776]) ).

cnf(s6939,plain,
    ( ~ spl0_323
    | spl0_195
    | ~ spl0_315
    | spl0_346
    | spl0_200
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s3442,s5847,s1830,s1841,s3806,s1760,s6843,s2081,s4144,s6931,s5176,s6791,s2154,s2108,s1982,s1786,s5220,s2952,s6479,s1827,s665]) ).

cnf(s6940,plain,
    ( ~ spl0_367
    | spl0_223
    | ~ spl0_393
    | ~ spl0_304
    | ~ spl0_361
    | ~ spl0_348
    | spl0_195
    | spl0_346
    | ~ spl0_443 ),
    inference(rat,[],[s5221,s5662,s6333,s5893,s5630,s6135,s3154,s2952]) ).

cnf(s6941,plain,
    ( ~ spl0_196
    | ~ spl0_368
    | spl0_390
    | ~ spl0_364
    | spl0_323
    | spl0_346
    | spl0_200
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s1870,s3494,s4726,s6258,s6890,s6843]) ).

cnf(s6942,plain,
    ( ~ spl0_315
    | spl0_346
    | ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6201,s4726,s1653,s2223,s6919,s5127,s6941,s1829,s6940,s5312,s6034,s6202,s6205,s1799,s1841,s4183,s4124,s5632,s1830,s6530,s1828,s6527,s3806,s2065,s6839,s6836,s2151,s6173,s6939,s5242,s1786,s6938,s37,s6659,s67,s24,s255,s6921,s6863,s6479,s1982,s6929,s2154,s1827,s665,s814,s1776]) ).

cnf(s6943,plain,
    ( ~ spl0_323
    | spl0_315
    | spl0_346
    | spl0_200
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s2640,s5373,s6418,s2032,s6543,s2137,s1979,s2542,s267,s6899,s6843,s6114,s5700,s3436,s6530,s2065,s3508,s2081,s5176,s67,s24,s6479,s6936,s6518,s2154,s2555,s1827,s814,s1429,s665]) ).

cnf(s6945,plain,
    ( spl0_87
    | spl0_417
    | spl0_346
    | spl0_122
    | spl0_200
    | ~ spl0_13 ),
    inference(rat,[],[s2640,s5373,s6418,s2032,s6543,s2137,s1979,s2542,s267,s6530,s2065,s2154,s2555,s1827,s814]) ).

cnf(s6946,plain,
    ( spl0_346
    | ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s2640,s6543,s5373,s4936,s6418,s2032,s3276,s3499,s4012,s6899,s2253,s6945,s4076,s6932,s6530,s6527,s2065,s6836,s2151,s6173,s6943,s6942,s2154,s67,s342,s22,s24,s1982,s6929,s6936,s255,s6921,s6863,s37,s2555,s1827,s814,s1776]) ).

cnf(s6947,plain,
    ( ~ spl0_323
    | ~ spl0_344
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_443
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11 ),
    inference(rat,[],[s5027,s6530,s6527,s3175,s5641,s5123,s2081,s5168,s5176,s2935,s814,s1776]) ).

cnf(s6948,plain,
    ( ~ spl0_195
    | ~ spl0_449
    | ~ spl0_607
    | ~ spl0_196
    | spl0_323
    | ~ spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s5409,s1830,s1841,s5843,s4686,s5225,s6261,s6021,s1827,s665]) ).

cnf(s6949,plain,
    ( ~ spl0_387
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s4326,s2052,s4144]) ).

cnf(s6950,plain,
    ( ~ spl0_196
    | spl0_323
    | ~ spl0_315
    | spl0_387
    | ~ spl0_346
    | spl0_200
    | ~ spl0_58
    | ~ spl0_24
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s1841,s5356,s1760,s2952,s6948,s2408,s6932,s6101,s5027,s5016,s6527,s6270,s3276,s2721,s6479,s6303,s2151,s3984,s6530,s3175,s6173,s37,s1982,s1827,s1776,s814,s665]) ).

cnf(s6951,plain,
    ( ~ spl0_195
    | ~ spl0_449
    | spl0_306
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_63
    | ~ spl0_31
    | ~ spl0_9 ),
    inference(rat,[],[s3502,s6185,s1828,s6219,s2143,s1870,s1737,s6021,s1910,s538,s2651,s1827,s665]) ).

cnf(s6952,plain,
    ( ~ spl0_87
    | ~ spl0_421
    | ~ spl0_47
    | ~ spl0_345
    | ~ spl0_304
    | spl0_360
    | spl0_122
    | ~ spl0_370
    | ~ spl0_9 ),
    inference(rat,[],[s2072,s2623,s113,s272,s4012,s2281,s162]) ).

cnf(s6953,plain,
    ( ~ spl0_371
    | ~ spl0_94
    | ~ spl0_145
    | ~ spl0_383
    | spl0_195
    | spl0_306
    | spl0_417
    | ~ spl0_58
    | ~ spl0_24 ),
    inference(rat,[],[s2183,s4239,s1828,s5632,s4183,s1798,s3059,s1830,s3806,s1827]) ).

cnf(s6954,plain,
    ( ~ spl0_315
    | ~ spl0_346
    | spl0_200
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4397,s2223,s4183,s4726,s5640,s1829,s5475,s6037,s2032,s1979,s4631,s267,s307,s6952,s6201,s1653,s6919,s5847,s1841,s1760,s5242,s1786,s6951,s2141,s2408,s4076,s5123,s5635,s6527,s5528,s6101,s5752,s5609,s5127,s6950,s6114,s6530,s3175,s2151,s6173,s6947,s2535,s1679,s67,s342,s22,s24,s6479,s1982,s6936,s2651,s6949,s255,s6921,s37,s1827,s1607,s1776,s814,s665]) ).

cnf(s6955,plain,
    ( spl0_303
    | spl0_304 ),
    inference(rat,[],[s6530,s814]) ).

cnf(s6956,plain,
    ( spl0_303
    | spl0_304 ),
    inference(rat,[],[s6529,s1776]) ).

cnf(s6957,plain,
    ( spl0_301
    | spl0_302 ),
    inference(rat,[],[s6527,s1776]) ).

cnf(s6959,plain,
    ( spl0_308
    | spl0_371 ),
    inference(rat,[],[s6520,s1429]) ).

cnf(s6960,plain,
    ( spl0_346
    | spl0_428 ),
    inference(rat,[],[s6518,s1429]) ).

cnf(s6961,plain,
    ( spl0_305
    | spl0_309 ),
    inference(rat,[],[s6490,s814]) ).

cnf(s6962,plain,
    ( spl0_315
    | spl0_429 ),
    inference(rat,[],[s6486,s814]) ).

cnf(s6963,plain,
    ( spl0_313
    | spl0_370 ),
    inference(rat,[],[s6483,s665]) ).

cnf(s6964,plain,
    ( spl0_200
    | spl0_443 ),
    inference(rat,[],[s6479,s665]) ).

cnf(s6969,plain,
    ( spl0_312
    | spl0_324 ),
    inference(rat,[],[s6418,s2555]) ).

cnf(s6976,plain,
    ( spl0_381
    | spl0_383 ),
    inference(rat,[],[s6349,s1607]) ).

cnf(s7001,plain,
    ( spl0_193
    | ~ spl0_195
    | ~ spl0_449 ),
    inference(rat,[],[s6021,s665]) ).

cnf(s7003,plain,
    ( ~ spl0_622
    | spl0_371
    | ~ spl0_323 ),
    inference(rat,[],[s6010,s1429]) ).

cnf(s7006,plain,
    ( spl0_418
    | spl0_569 ),
    inference(rat,[],[s5994,s1607]) ).

cnf(s7038,plain,
    ( ~ spl0_521
    | ~ spl0_368
    | ~ spl0_200 ),
    inference(rat,[],[s5591,s1776]) ).

cnf(s7145,plain,
    ( spl0_224
    | spl0_196
    | ~ spl0_199
    | ~ spl0_570 ),
    inference(rat,[],[s4342,s665]) ).

cnf(s7146,plain,
    ( spl0_360
    | spl0_371
    | ~ spl0_570 ),
    inference(rat,[],[s4341,s1429]) ).

cnf(s7147,plain,
    ( spl0_196
    | spl0_370
    | ~ spl0_570 ),
    inference(rat,[],[s4340,s665]) ).

cnf(s7148,plain,
    ( spl0_20
    | ~ spl0_570
    | spl0_23 ),
    inference(rat,[],[s4339,s242]) ).

cnf(s7190,plain,
    ( spl0_201
    | spl0_315
    | ~ spl0_451 ),
    inference(rat,[],[s3858,s814]) ).

cnf(s7191,plain,
    ( spl0_193
    | spl0_392
    | ~ spl0_451 ),
    inference(rat,[],[s3857,s914]) ).

cnf(s7196,plain,
    ( spl0_418
    | spl0_569 ),
    inference(rat,[],[s3800,s1499]) ).

cnf(s7202,plain,
    ( spl0_348
    | ~ spl0_449
    | ~ spl0_346 ),
    inference(rat,[],[s3656,s1607]) ).

cnf(s7214,plain,
    ( ~ spl0_225
    | spl0_348 ),
    inference(rat,[],[s3461,s914]) ).

cnf(s7219,plain,
    ( ~ spl0_83
    | ~ spl0_500
    | ~ spl0_87 ),
    inference(rat,[],[s3378,s1827]) ).

cnf(s7225,plain,
    ( ~ spl0_206
    | spl0_370
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s3318,s665]) ).

cnf(s7227,plain,
    ( spl0_201
    | spl0_193
    | ~ spl0_11
    | spl0_368 ),
    inference(rat,[],[s3305,s1892]) ).

cnf(s7235,plain,
    ( ~ spl0_223
    | spl0_383
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s3257,s1607]) ).

cnf(s7243,plain,
    ( spl0_303
    | spl0_304 ),
    inference(rat,[],[s3141,s814]) ).

cnf(s7262,plain,
    ( spl0_201
    | spl0_309
    | ~ spl0_11
    | spl0_37 ),
    inference(rat,[],[s2957,s1178]) ).

cnf(s7264,plain,
    ( spl0_201
    | spl0_315
    | ~ spl0_11
    | spl0_37 ),
    inference(rat,[],[s2950,s1178]) ).

cnf(s7265,plain,
    ( spl0_195
    | spl0_436 ),
    inference(rat,[],[s2946,s1607]) ).

cnf(s7266,plain,
    ( ~ spl0_20
    | spl0_348
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_493 ),
    inference(rat,[],[s2905,s1429]) ).

cnf(s7267,plain,
    ( spl0_348
    | ~ spl0_484
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_383 ),
    inference(rat,[],[s2884,s1429]) ).

cnf(s7283,plain,
    ( spl0_348
    | spl0_201
    | ~ spl0_11
    | spl0_302 ),
    inference(rat,[],[s2786,s1776]) ).

cnf(s7287,plain,
    ( spl0_392
    | spl0_468 ),
    inference(rat,[],[s2716,s914]) ).

cnf(s7294,plain,
    ( ~ spl0_54
    | spl0_86
    | spl0_87
    | spl0_94 ),
    inference(rat,[],[s2655,s1827,s1178]) ).

cnf(s7304,plain,
    ( ~ spl0_323
    | spl0_371
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s2539,s1429]) ).

cnf(s7308,plain,
    ( spl0_200
    | spl0_443 ),
    inference(rat,[],[s2511,s665]) ).

cnf(s7312,plain,
    ( spl0_193
    | spl0_377
    | ~ spl0_11
    | spl0_37 ),
    inference(rat,[],[s2434,s665]) ).

cnf(s7314,plain,
    ( spl0_20
    | ~ spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s2425,s242]) ).

cnf(s7315,plain,
    ( ~ spl0_24
    | spl0_47
    | ~ spl0_4
    | ~ spl0_11
    | spl0_193
    | ~ spl0_377 ),
    inference(rat,[],[s2403,s1607]) ).

cnf(s7316,plain,
    ( spl0_310
    | spl0_469 ),
    inference(rat,[],[s2399,s242]) ).

cnf(s7321,plain,
    ( spl0_301
    | spl0_302 ),
    inference(rat,[],[s2331,s814]) ).

cnf(s7329,plain,
    ( ~ spl0_87
    | ~ spl0_99
    | ~ spl0_11
    | spl0_37
    | ~ spl0_47 ),
    inference(rat,[],[s2253,s1827]) ).

cnf(s7330,plain,
    ( ~ spl0_225
    | spl0_41
    | ~ spl0_279 ),
    inference(rat,[],[s2232,s242]) ).

cnf(s7332,plain,
    ( ~ spl0_225
    | spl0_386
    | ~ spl0_193
    | ~ spl0_392 ),
    inference(rat,[],[s2199,s242]) ).

cnf(s7334,plain,
    ( spl0_395
    | spl0_439 ),
    inference(rat,[],[s2177,s1178]) ).

cnf(s7335,plain,
    ( spl0_395
    | spl0_439 ),
    inference(rat,[],[s2174,s814]) ).

cnf(s7336,plain,
    ( spl0_395
    | spl0_439 ),
    inference(rat,[],[s2173,s1776]) ).

cnf(s7337,plain,
    ( spl0_306
    | spl0_421 ),
    inference(rat,[],[s2141,s1607]) ).

cnf(s7338,plain,
    ( spl0_306
    | spl0_421 ),
    inference(rat,[],[s2138,s1499]) ).

cnf(s7342,plain,
    ( spl0_420
    | spl0_430 ),
    inference(rat,[],[s2127,s665]) ).

cnf(s7344,plain,
    ( spl0_315
    | spl0_429 ),
    inference(rat,[],[s2123,s814]) ).

cnf(s7347,plain,
    ( spl0_346
    | spl0_428 ),
    inference(rat,[],[s2112,s1429]) ).

cnf(s7348,plain,
    ( ~ spl0_225
    | ~ spl0_327
    | ~ spl0_201 ),
    inference(rat,[],[s2107,s914]) ).

cnf(s7350,plain,
    ( ~ spl0_225
    | ~ spl0_41
    | ~ spl0_306
    | ~ spl0_346 ),
    inference(rat,[],[s2044,s914]) ).

cnf(s7351,plain,
    ( spl0_396
    | spl0_273 ),
    inference(rat,[],[s2032,s1827]) ).

cnf(s7352,plain,
    ( spl0_100
    | spl0_201
    | ~ spl0_11
    | spl0_273 ),
    inference(rat,[],[s2031,s1827]) ).

cnf(s7353,plain,
    ( spl0_200
    | spl0_201
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s2028,s665]) ).

cnf(s7354,plain,
    ( spl0_273
    | spl0_396 ),
    inference(rat,[],[s2026,s242]) ).

cnf(s7357,plain,
    ( spl0_100
    | spl0_201
    | ~ spl0_11
    | spl0_310 ),
    inference(rat,[],[s2004,s1827]) ).

cnf(s7358,plain,
    ( spl0_324
    | ~ spl0_99
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s1972,s665]) ).

cnf(s7362,plain,
    ( ~ spl0_99
    | ~ spl0_206
    | ~ spl0_11
    | spl0_273 ),
    inference(rat,[],[s1959,s1892]) ).

cnf(s7364,plain,
    ( spl0_94
    | ~ spl0_99
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1953,s1178]) ).

cnf(s7365,plain,
    ( spl0_346
    | spl0_348
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1926,s1429]) ).

cnf(s7366,plain,
    ( ~ spl0_196
    | spl0_201
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(rat,[],[s1903,s665]) ).

cnf(s7367,plain,
    ( ~ spl0_16
    | ~ spl0_206
    | spl0_200
    | spl0_196 ),
    inference(rat,[],[s1899,s665]) ).

cnf(s7375,plain,
    ( ~ spl0_99
    | ~ spl0_223
    | ~ spl0_11
    | spl0_274 ),
    inference(rat,[],[s1850,s1178]) ).

cnf(s7378,plain,
    ( spl0_365
    | spl0_366 ),
    inference(rat,[],[s1841,s1827]) ).

cnf(s7379,plain,
    ( spl0_193
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1836,s1607]) ).

cnf(s7380,plain,
    ( spl0_363
    | spl0_364 ),
    inference(rat,[],[s1830,s1827]) ).

cnf(s7381,plain,
    ( spl0_367
    | spl0_368 ),
    inference(rat,[],[s1829,s1827]) ).

cnf(s7382,plain,
    ( spl0_361
    | spl0_362 ),
    inference(rat,[],[s1828,s1827]) ).

cnf(s7383,plain,
    ( spl0_377
    | spl0_393 ),
    inference(rat,[],[s1799,s665]) ).

cnf(s7389,plain,
    ( spl0_274
    | spl0_372 ),
    inference(rat,[],[s1733,s1178]) ).

cnf(s7390,plain,
    ( spl0_274
    | spl0_372 ),
    inference(rat,[],[s1729,s814]) ).

cnf(s7391,plain,
    ( spl0_381
    | spl0_383 ),
    inference(rat,[],[s1723,s1607]) ).

cnf(s7406,plain,
    ( spl0_308
    | spl0_371 ),
    inference(rat,[],[s1687,s1429]) ).

cnf(s7407,plain,
    ( spl0_313
    | spl0_370 ),
    inference(rat,[],[s1686,s665]) ).

cnf(s7417,plain,
    ( ~ spl0_61
    | spl0_309
    | spl0_200 ),
    inference(rat,[],[s1647,s814,s665]) ).

cnf(s7419,plain,
    ( ~ spl0_61
    | spl0_306
    | spl0_346 ),
    inference(rat,[],[s1637,s1607]) ).

cnf(s7443,plain,
    ( spl0_312
    | spl0_324 ),
    inference(rat,[],[s1244,s665]) ).

cnf(s7444,plain,
    ( spl0_312
    | spl0_324 ),
    inference(rat,[],[s1243,s914]) ).

cnf(s7446,plain,
    ( ~ spl0_225
    | spl0_38
    | spl0_31
    | ~ spl0_306 ),
    inference(rat,[],[s1239,s914]) ).

cnf(s7454,plain,
    ( spl0_305
    | spl0_309 ),
    inference(rat,[],[s1209,s814]) ).

cnf(s7494,plain,
    ( spl0_86
    | spl0_163 ),
    inference(rat,[],[s317,s242]) ).

cnf(s7497,plain,
    ( ~ spl0_195
    | ~ spl0_196
    | spl0_309
    | ~ spl0_193
    | spl0_315
    | ~ spl0_370
    | spl0_200
    | ~ spl0_58
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_246 ),
    inference(rat,[],[s6260,s1798,s7381,s2423,s3579,s7378,s4686,s6261]) ).

cnf(s7498,plain,
    ( ~ spl0_323
    | spl0_633
    | spl0_315
    | spl0_387
    | ~ spl0_346
    | spl0_200
    | ~ spl0_58
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s2423,s7383,s7378,s3500,s1760,s1786,s7497,s6296,s5897,s6955,s3175,s5641,s6671,s2081,s5168,s1835,s6947,s5176,s2935,s6810,s6964,s1982]) ).

cnf(s7499,plain,
    ( ~ spl0_31
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7443,s6872,s4850,s2542,s267,s6899,s6932,s5897,s6296,s5127,s3276,s6957,s5026,s6955,s3175,s6303,s6173,s2151,s7498,s6341,s6954,s6949,s2651,s6946,s6936,s1982,s6929,s342,s22,s67,s24,s6659,s255,s6921,s3984,s37,s6863]) ).

cnf(s7500,plain,
    ( ~ spl0_195
    | spl0_563
    | ~ spl0_326
    | ~ spl0_302
    | ~ spl0_303
    | spl0_223
    | ~ spl0_206
    | ~ spl0_323
    | spl0_196
    | spl0_306
    | ~ spl0_20
    | ~ spl0_9
    | spl0_4 ),
    inference(rat,[],[s67,s4070,s3166,s1798,s5405,s6747,s6455,s7382,s7380,s6228,s3339,s7381,s7378,s6333,s6919,s5221,s3590,s3584,s1870,s6261,s6197,s1910,s3984,s37,s7337,s5127,s1835]) ).

cnf(s7501,plain,
    ( ~ spl0_206
    | ~ spl0_323
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3073,s3584,s4480,s6919,s6258,s7378,s5305,s3953,s4475,s5632,s7380,s7382,s3806,s6839,s1786,s2952,s7500,s5938,s2611,s3920,s2472,s6957,s6956,s3021,s3041,s6765,s6863,s6960,s65,s6446,s255,s4146,s7499,s37,s2154,s681,s5127,s2219]) ).

cnf(s7502,plain,
    ( ~ spl0_304
    | spl0_370
    | ~ spl0_38
    | ~ spl0_429
    | ~ spl0_323
    | ~ spl0_345
    | ~ spl0_421
    | spl0_1 ),
    inference(rat,[],[s6132,s3899,s5893,s7006,s2680,s4131,s6391,s15,s1]) ).

cnf(s7503,plain,
    ( ~ spl0_23
    | ~ spl0_195
    | ~ spl0_326
    | spl0_315
    | spl0_206
    | ~ spl0_323
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4195,s6032,s7378,s3339,s7380,s3016,s1208,s6828,s2002,s6108,s1653,s3984,s3584,s1910,s5127,s2219]) ).

cnf(s7504,plain,
    ( ~ spl0_195
    | ~ spl0_303
    | ~ spl0_313
    | spl0_315
    | spl0_206
    | ~ spl0_323
    | ~ spl0_200
    | spl0_306
    | ~ spl0_25
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3577,s7381,s7378,s5836,s3339,s7380,s7382,s3016,s6865,s6957,s1835,s1202,s6829,s4123,s3866,s67,s7503,s4432,s1870,s1910,s5127,s2219,s6468,s2472,s681,s3271,s6108,s1653,s3984]) ).

cnf(s7505,plain,
    ( spl0_370
    | ~ spl0_38
    | spl0_206
    | ~ spl0_323
    | ~ spl0_200
    | spl0_306
    | ~ spl0_20
    | ~ spl0_25
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6550,s4726,s3577,s2223,s3866,s67,s2002,s6961,s1716,s6691,s7378,s7383,s5975,s5981,s1786,s7504,s6956,s7502,s1688,s6863,s4146,s7499,s10,s6139,s4052,s15,s7337,s5127,s2219,s6825,s4144,s6108,s1653,s3984,s6962,s6113,s5900,s37]) ).

cnf(s7506,plain,
    ( spl0_360
    | ~ spl0_304
    | ~ spl0_323
    | ~ spl0_345 ),
    inference(rat,[],[s5752,s2085,s6114,s2669]) ).

cnf(s7507,plain,
    ( ~ spl0_323
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s3899,s6121,s7006,s2680,s7506,s6955,s2611,s3920,s6957,s6724,s1208,s5617,s7505,s79,s183,s6113,s5719,s7501,s19,s7337,s53,s1660,s6212,s6858,s7419,s6446,s2154,s4146,s7499,s15,s5900,s37,s255,s10,s6139,s4052,s5127,s2219,s6825]) ).

cnf(s7508,plain,
    ( spl0_223
    | ~ spl0_23
    | ~ spl0_362
    | spl0_618
    | ~ spl0_195
    | ~ spl0_421
    | ~ spl0_246 ),
    inference(rat,[],[s7383,s4070,s6747,s6261,s5221,s1835]) ).

cnf(s7509,plain,
    ( ~ spl0_395
    | ~ spl0_87
    | ~ spl0_607
    | ~ spl0_433
    | ~ spl0_385 ),
    inference(rat,[],[s6406,s7316,s3783,s5505]) ).

cnf(s7510,plain,
    ( ~ spl0_87
    | ~ spl0_607
    | ~ spl0_433
    | ~ spl0_360
    | ~ spl0_596
    | ~ spl0_223
    | ~ spl0_385
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s5953,s2653,s131,s4427,s6174,s7334,s7509]) ).

cnf(s7511,plain,
    ( spl0_87
    | ~ spl0_621
    | spl0_417
    | ~ spl0_20
    | ~ spl0_371
    | spl0_47
    | ~ spl0_13 ),
    inference(rat,[],[s6646,s5576,s2542,s370,s307]) ).

cnf(s7512,plain,
    ( ~ spl0_420
    | spl0_484
    | ~ spl0_87
    | ~ spl0_363
    | ~ spl0_360
    | ~ spl0_223
    | ~ spl0_11
    | ~ spl0_246 ),
    inference(rat,[],[s131,s6174,s4672,s2677,s2653]) ).

cnf(s7513,plain,
    ( ~ spl0_223
    | ~ spl0_366
    | spl0_192
    | ~ spl0_195
    | spl0_370
    | ~ spl0_304
    | ~ spl0_206
    | ~ spl0_38
    | spl0_417
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3516,s6138,s142,s7316,s6266,s5505,s2175,s4427,s7512,s3580,s6957,s6101,s7510,s7511,s3467,s7380,s5321,s6855,s6181,s7383,s6240,s6961,s4750,s6121,s2718,s3899,s6444,s5893,s7006,s2680,s4432,s7381,s6865,s6774,s3984,s65,s7337,s6446,s255,s1870,s2733,s538,s7382,s5633,s3953,s2154]) ).

cnf(s7514,plain,
    ( ~ spl0_94
    | ~ spl0_104
    | ~ spl0_623
    | ~ spl0_368
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_20
    | spl0_47 ),
    inference(rat,[],[s6401,s171,s6066,s369]) ).

cnf(s7515,plain,
    ( ~ spl0_87
    | ~ spl0_537
    | ~ spl0_623
    | ~ spl0_368
    | ~ spl0_634
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_20
    | spl0_47
    | ~ spl0_9 ),
    inference(rat,[],[s4989,s2417,s3777,s6305,s142,s7514,s272,s162,s513]) ).

cnf(s7516,plain,
    ( spl0_87
    | ~ spl0_368
    | ~ spl0_195
    | spl0_201
    | ~ spl0_200
    | ~ spl0_150
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s7357,s6066,s6213,s267]) ).

cnf(s7517,plain,
    ( ~ spl0_195
    | spl0_370
    | ~ spl0_304
    | ~ spl0_315
    | ~ spl0_38
    | spl0_417
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3899,s6121,s7006,s2680,s6109,s7515,s7516,s1208,s5708,s5754,s1798,s7381,s67,s6747,s6333,s7508,s5221,s7513,s6312,s4305,s7382,s5633,s4351,s3953,s7378,s6919,s3590,s3584,s6197,s1910,s3984,s6863,s7337,s6858,s7419,s5127,s2219,s6113,s2750,s5900,s5894,s5892,s6446,s255,s4146,s7499,s37,s2154,s5938,s65]) ).

cnf(s7518,plain,
    ( spl0_195
    | ~ spl0_206
    | spl0_417
    | ~ spl0_348
    | spl0_196
    | ~ spl0_200
    | ~ spl0_20
    | spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_13 ),
    inference(rat,[],[s3584,s6919,s3755,s7378,s4072,s3953,s6855,s5632,s7380,s7383,s7382,s3806,s5981,s6839,s1786,s7337,s6446,s2154,s5127]) ).

cnf(s7519,plain,
    ( ~ spl0_370
    | ~ spl0_362
    | ~ spl0_366
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | ~ spl0_206
    | ~ spl0_315
    | ~ spl0_345
    | ~ spl0_199
    | ~ spl0_421
    | ~ spl0_20
    | ~ spl0_25
    | spl0_47
    | ~ spl0_246 ),
    inference(rat,[],[s67,s2223,s7508,s1792,s1724,s6774,s4284,s7381,s5999,s3072,s5573,s5617]) ).

cnf(s7521,plain,
    ( spl0_395
    | ~ spl0_87
    | ~ spl0_360
    | ~ spl0_596
    | ~ spl0_223
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s5953,s2653,s131,s4427,s6174,s7334]) ).

cnf(s7522,plain,
    ( ~ spl0_223
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_385
    | spl0_192
    | ~ spl0_195
    | spl0_201
    | ~ spl0_206
    | ~ spl0_38
    | ~ spl0_200
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_421
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s163,s5246,s4005,s1731,s6222,s2216,s6543,s2653,s5953,s6969,s7357,s3499,s5505,s3652,s2384,s7521,s1798,s2718,s6855,s6444,s2680,s7516,s4432,s7381,s6865,s6774,s37,s1870]) ).

cnf(s7523,plain,
    ( ~ spl0_315
    | ~ spl0_38
    | spl0_417
    | ~ spl0_348
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4228,s3798,s6198,s7006,s2680,s2669,s5295,s5288,s67,s2718,s7508,s5221,s7522,s6455,s7380,s3339,s2472,s6956,s7517,s7519,s7382,s5633,s2733,s3953,s7378,s6919,s3584,s6197,s1910,s538,s7518,s2750,s6113,s3984,s6863,s2524,s19,s7337,s6858,s53,s1660,s7419,s6446,s4146,s7499,s2154,s681,s5900,s37,s255,s5127,s2219]) ).

cnf(s7524,plain,
    ( ~ spl0_365
    | ~ spl0_23
    | spl0_544
    | spl0_315
    | spl0_196
    | ~ spl0_200
    | ~ spl0_246 ),
    inference(rat,[],[s2002,s6108,s6961,s1653,s4195,s6919,s6032]) ).

cnf(s7525,plain,
    ( ~ spl0_304
    | spl0_418
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s6132,s3899,s5893,s7006]) ).

cnf(s7526,plain,
    ( ~ spl0_23
    | ~ spl0_195
    | spl0_315
    | ~ spl0_38
    | ~ spl0_200
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_421
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3467,s2424,s7380,s6956,s7227,s7522,s1653,s7525,s6261,s6402,s6847,s6826,s2680,s4432,s6865,s7508,s7382,s5633,s2733,s3953,s7378,s7524,s3984,s6962,s538,s6197,s37,s1870,s3584,s1910,s5127,s2219]) ).

cnf(s7527,plain,
    ( ~ spl0_365
    | spl0_376
    | spl0_399
    | spl0_544
    | ~ spl0_197
    | spl0_315
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_25
    | spl0_47 ),
    inference(rat,[],[s1716,s1726,s1688,s4649,s5617,s6961,s7381,s4195,s3577,s6032]) ).

cnf(s7528,plain,
    ( ~ spl0_304
    | ~ spl0_634
    | ~ spl0_366
    | ~ spl0_63
    | ~ spl0_195
    | ~ spl0_429
    | ~ spl0_38
    | ~ spl0_200
    | ~ spl0_150
    | spl0_620
    | ~ spl0_20
    | spl0_346
    | spl0_47
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s7515,s7516,s7381,s3830,s2405,s1724,s4299,s5981,s1835,s6181,s6865,s5290,s4432,s6109,s2680,s5754,s7525,s5892,s5894,s7337,s6446,s681,s5127,s2219,s1870,s1910,s7382,s5633,s3953,s2154]) ).

cnf(s7529,plain,
    ( ~ spl0_195
    | spl0_315
    | ~ spl0_38
    | ~ spl0_200
    | spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5221,s2718,s7522,s4228,s1653,s3798,s6402,s6198,s7006,s3271,s2680,s2669,s5295,s5288,s6455,s7380,s3339,s2472,s6956,s7528,s6312,s4305,s7382,s5633,s2733,s3953,s7378,s7527,s2223,s3866,s67,s7526,s3584,s6197,s1910,s538,s6863,s19,s5802,s65,s7337,s6858,s53,s1660,s7419,s6446,s255,s4146,s7499,s37,s2154,s681,s5127,s2219,s6962]) ).

cnf(s7530,plain,
    ( ~ spl0_200
    | spl0_24
    | spl0_346
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s67,s2002,s5288,s6961,s3755,s6691,s4072,s7378,s6455,s6855,s5975,s6108,s7380,s7383,s4144,s1653,s7382,s3806,s5981,s7518,s6839,s6230,s1786,s7529,s7523,s79,s183,s6173,s2151,s5720,s7507,s2219,s3984,s2524,s65,s7337,s53,s1660,s6212,s6858,s7419,s6446,s2154,s4146,s7499,s6825,s15,s255,s10,s6139,s4052,s37]) ).

cnf(s7531,plain,
    ( ~ spl0_315
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | spl0_201
    | spl0_309
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_25
    | spl0_47
    | spl0_31
    | ~ spl0_11
    | ~ spl0_246 ),
    inference(rat,[],[s2223,s1792,s5127,s1724,s2721,s67,s5981,s1727,s4070,s1798,s3922,s5516,s2718,s5230,s6261,s6774,s7227,s7381,s5999,s5573,s1208,s1653]) ).

cnf(s7532,plain,
    ( ~ spl0_323
    | ~ spl0_23
    | spl0_618
    | ~ spl0_195
    | ~ spl0_206
    | spl0_200
    | ~ spl0_421
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s3334,s2065,s7382,s6956,s7508,s3041,s6788,s1982]) ).

cnf(s7533,plain,
    ( spl0_323
    | ~ spl0_196
    | spl0_200
    | ~ spl0_20
    | spl0_346
    | spl0_31
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6841,s6173,s2151,s4146]) ).

cnf(s7534,plain,
    ( ~ spl0_196
    | spl0_315
    | ~ spl0_195
    | ~ spl0_206
    | spl0_200
    | ~ spl0_20
    | spl0_346
    | spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s4195,s6032,s7378,s4686,s3587,s6261,s5221,s1835,s6788,s7533,s3984,s1982,s1208,s2504,s4146,s6197,s37,s6962]) ).

cnf(s7535,plain,
    ( spl0_274
    | spl0_425
    | ~ spl0_104
    | ~ spl0_390
    | ~ spl0_537
    | ~ spl0_87
    | ~ spl0_364
    | ~ spl0_370
    | ~ spl0_421
    | ~ spl0_20
    | ~ spl0_10 ),
    inference(rat,[],[s6649,s3777,s175,s4012,s113,s4453,s2093,s6239]) ).

cnf(s7536,plain,
    ( ~ spl0_23
    | ~ spl0_364
    | ~ spl0_345
    | ~ spl0_429
    | ~ spl0_195
    | ~ spl0_206
    | spl0_200
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_20
    | ~ spl0_62
    | spl0_346
    | spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6865,s7508,s7382,s5633,s3168,s7535,s2629,s272,s162,s3494,s6109,s6850,s6258,s4432,s2680,s7525,s5894,s6955,s79,s2065,s183,s6173,s5720,s7532,s3984,s7337,s6446,s2154,s1982,s2504,s4146,s6197,s37,s1870,s1910]) ).

cnf(s7537,plain,
    ( ~ spl0_195
    | spl0_201
    | spl0_623
    | spl0_200
    | ~ spl0_48
    | ~ spl0_51
    | ~ spl0_20
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5405,s7382,s3166,s3334,s6173,s2065,s6956,s5892,s5754,s67,s7536,s6455,s7380,s4866,s7378,s6919,s3584,s5127,s7534,s6957,s6724,s6962,s7531,s1870,s6197,s1910,s3984,s7337,s6446,s2154,s2108,s1982,s1208,s2504,s4146,s37,s1653]) ).

cnf(s7538,plain,
    ( ~ spl0_363
    | ~ spl0_302
    | ~ spl0_303
    | spl0_484
    | spl0_377
    | ~ spl0_436
    | spl0_327
    | spl0_200
    | ~ spl0_62 ),
    inference(rat,[],[s5618,s6356,s3148,s7381,s7378,s2675,s4866,s7383]) ).

cnf(s7539,plain,
    ( ~ spl0_196
    | spl0_484
    | spl0_377
    | ~ spl0_436
    | ~ spl0_206
    | spl0_200
    | ~ spl0_20
    | ~ spl0_62
    | spl0_346
    | spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s5305,s4475,s6258,s7380,s7538,s6957,s6956,s3021,s3041,s7533,s6843,s6960,s2108,s1982]) ).

cnf(s7540,plain,
    ( ~ spl0_323
    | ~ spl0_366
    | ~ spl0_383
    | spl0_195
    | ~ spl0_206
    | spl0_327
    | ~ spl0_370
    | ~ spl0_428
    | ~ spl0_11 ),
    inference(rat,[],[s4238,s7382,s7380,s4124,s5222,s6957,s6956,s3021,s3041]) ).

cnf(s7541,plain,
    ( spl0_24
    | spl0_346
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s4124,s7382,s6957,s6839,s6836,s6173,s7540,s7378,s6919,s7539,s2880,s5981,s5242,s1786,s2952,s7537,s1653,s2108,s6215,s5631,s1982,s6964,s7530,s6212,s53,s6858,s1660,s7419,s6446,s255,s19,s65,s6863,s4146,s7499,s6825,s15,s37,s6960,s2154,s10,s6139,s4052]) ).

cnf(s7542,plain,
    ( ~ spl0_206
    | ~ spl0_323
    | spl0_544
    | spl0_618
    | ~ spl0_195
    | spl0_196
    | ~ spl0_200
    | ~ spl0_421
    | ~ spl0_41
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s6747,s7382,s7383,s5633,s1998,s3953,s5221,s1835,s7378,s6765,s6919]) ).

cnf(s7543,plain,
    ( ~ spl0_323
    | spl0_544
    | ~ spl0_388
    | spl0_618
    | ~ spl0_195
    | spl0_487
    | spl0_399
    | spl0_196
    | ~ spl0_200
    | ~ spl0_22
    | spl0_306
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s6553,s5633,s2689,s6777,s1835,s1208,s6829,s3306,s6468,s6113,s1653,s7542,s1314,s7337,s681]) ).

cnf(s7544,plain,
    ( ~ spl0_315
    | ~ spl0_362
    | ~ spl0_366
    | ~ spl0_195
    | ~ spl0_421
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s6747,s2851,s4662,s2535,s1679,s2733,s538]) ).

cnf(s7545,plain,
    ( spl0_223
    | ~ spl0_362
    | spl0_618
    | ~ spl0_195
    | ~ spl0_421
    | ~ spl0_41 ),
    inference(rat,[],[s1796,s6747,s1998,s5221,s1835]) ).

cnf(s7546,plain,
    ( ~ spl0_87
    | ~ spl0_335
    | ~ spl0_360
    | ~ spl0_596
    | ~ spl0_223
    | ~ spl0_385
    | ~ spl0_206
    | spl0_196
    | spl0_23
    | ~ spl0_11
    | ~ spl0_9
    | spl0_4 ),
    inference(rat,[],[s1299,s165,s2890,s2178,s5505,s272,s7521,s162,s67,s22]) ).

cnf(s7547,plain,
    ( ~ spl0_206
    | spl0_417
    | spl0_618
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_41
    | spl0_23
    | ~ spl0_279
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s7336,s4427,s6266,s2542,s267,s7546,s2197,s2718,s6444,s2680,s4432,s6865,s7545,s7382,s5633,s2733,s3953,s7378,s6919,s538,s1870,s3584,s1910,s5127,s2219]) ).

cnf(s7548,plain,
    ( ~ spl0_195
    | ~ spl0_20
    | ~ spl0_200
    | spl0_306
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6592,s7525,s3271,s2680,s4432,s6865,s7382,s5633,s6777,s1835,s1208,s6829,s6962,s3306,s6108,s6468,s6113,s1653,s7547,s6173,s7543,s3584,s1870,s6197,s1910,s3984,s1679,s18,s7337,s681,s5127,s3866,s2219,s67,s24,s5900,s37]) ).

cnf(s7549,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | ~ spl0_393
    | spl0_195
    | spl0_399
    | ~ spl0_200
    | ~ spl0_421
    | ~ spl0_24
    | spl0_346
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s3577,s7378,s4081,s7381,s3953,s6855,s5902,s5632,s7380,s7382,s3806,s6839,s3920,s2472,s6957,s6956,s3021,s3041,s2154,s681,s1786]) ).

cnf(s7550,plain,
    ( ~ spl0_206
    | spl0_195
    | ~ spl0_20
    | spl0_399
    | spl0_196
    | ~ spl0_200
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s7518,s6173,s2151,s7549,s7337,s3508,s2154,s7383,s5981,s1786]) ).

cnf(s7551,plain,
    ( ~ spl0_20
    | ~ spl0_200
    | ~ spl0_41
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s6691,s7378,s1208,s5975,s3306,s6113,s4144,s1653,s7550,s7383,s5981,s1786,s7548,s5900,s37,s6264,s3984,s3508,s2154,s3866,s2219,s67,s24]) ).

cnf(s7552,plain,
    ( ~ spl0_206
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7336,s4427,s6266,s2542,s267,s7546,s4432,s6173,s6865,s6765,s6307,s2197,s3646,s6394,s6312,s4305,s7382,s5633,s2733,s3953,s7378,s6919,s2154,s1679,s67,s24,s6659,s7551,s280,s4146,s37,s2524,s7499,s6863,s538,s1870,s3584,s1910,s5127,s2219]) ).

cnf(s7553,plain,
    ( ~ spl0_195
    | ~ spl0_200
    | ~ spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6592,s7525,s3271,s2680,s4432,s6865,s7382,s5633,s6777,s1835,s6962,s1208,s6829,s2536,s3306,s6108,s6468,s1653,s7552,s1870,s1910,s280,s6264,s2524,s3984,s7337,s3508,s2154,s4146,s7499,s37,s681,s3866,s2219,s67,s24]) ).

cnf(s7554,plain,
    ( ~ spl0_206
    | ~ spl0_393
    | spl0_195
    | spl0_399
    | spl0_196
    | ~ spl0_200
    | ~ spl0_421
    | ~ spl0_24
    | spl0_346
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s3584,s6919,s3755,s7378,s4072,s3953,s6855,s5632,s7380,s7382,s3806,s6839,s6173,s2151,s7549,s2154,s5127,s1786]) ).

cnf(s7555,plain,
    ( ~ spl0_200
    | ~ spl0_24
    | spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6691,s7378,s1208,s2536,s5975,s3306,s6468,s4144,s1653,s7554,s7383,s3500,s1786,s7553,s3866,s2219,s681,s6863,s2524,s280,s67,s24,s7337,s3508,s2154,s4146,s7499,s37]) ).

cnf(s7556,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | ~ spl0_195
    | spl0_200
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_371
    | spl0_47
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(rat,[],[s6760,s7383,s3646,s1998,s6956,s6307,s1835,s3041,s6788,s1982,s538]) ).

cnf(s7557,plain,
    ( spl0_323
    | spl0_466
    | ~ spl0_429
    | spl0_200
    | ~ spl0_421
    | ~ spl0_371
    | spl0_31
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s6592,s7525,s2065,s5712,s6173,s2151]) ).

cnf(s7558,plain,
    ( ~ spl0_365
    | spl0_509
    | spl0_315
    | ~ spl0_195
    | spl0_309
    | ~ spl0_421
    | ~ spl0_24
    | ~ spl0_371 ),
    inference(rat,[],[s5633,s4183,s7382,s1798,s5405,s6691,s6033,s1208]) ).

cnf(s7559,plain,
    ( ~ spl0_196
    | ~ spl0_388
    | ~ spl0_195
    | spl0_327
    | spl0_200
    | ~ spl0_63
    | ~ spl0_24
    | ~ spl0_371
    | spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3016,s1835,s7380,s6261,s4866,s4686,s7378,s7558,s3166,s7557,s3276,s6957,s6724,s6962,s2721,s6264,s2524,s3984,s7337,s3508,s1208,s5635,s1982,s4146,s37]) ).

cnf(s7560,plain,
    ( ~ spl0_315
    | ~ spl0_20
    | ~ spl0_366
    | ~ spl0_195
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s3922,s5516,s7381,s7383,s5999,s2718,s2851,s5573,s4662,s2535,s1679,s2733,s538]) ).

cnf(s7561,plain,
    ( ~ spl0_87
    | ~ spl0_465
    | ~ spl0_537
    | spl0_360
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_388
    | ~ spl0_370
    | ~ spl0_421
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s2629,s7535,s272,s3168,s162,s3494,s6258]) ).

cnf(s7562,plain,
    ( ~ spl0_20
    | ~ spl0_366
    | spl0_417
    | ~ spl0_345
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s4874,s5328,s4453,s2384,s171,s6945,s370,s7561,s5633,s7382,s5295,s6109,s2669,s2680,s7525,s6962,s7560,s7337,s1208,s5635,s1870,s5894,s6955,s2065,s5288,s6455,s7380,s4866,s6957,s6836,s2108,s1982,s3508,s2154,s67,s24,s1910]) ).

cnf(s7563,plain,
    ( ~ spl0_206
    | spl0_196
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s3899,s6121,s7006,s2680,s6109,s5581,s6659,s7562,s5894,s6955,s2065,s7378,s6173,s6919,s7556,s67,s24,s7337,s3508,s2154,s1208,s5635,s1982,s3584,s5127,s1910]) ).

cnf(s7564,plain,
    ( ~ spl0_377
    | spl0_376
    | ~ spl0_195
    | spl0_309
    | ~ spl0_370
    | ~ spl0_28
    | ~ spl0_41
    | ~ spl0_24 ),
    inference(rat,[],[s1794,s1835,s7381,s1998,s6260]) ).

cnf(s7565,plain,
    ( ~ spl0_20
    | spl0_387
    | ~ spl0_345
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s7545,s7382,s3016,s3334,s6173,s7380,s7562,s4866,s7378,s6957,s6691,s6724,s5573,s6197,s7337,s3508,s2154,s2108,s1208,s7383,s7564,s2223,s67,s1910,s5635,s1982,s22,s24]) ).

cnf(s7566,plain,
    ( ~ spl0_315
    | ~ spl0_323
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_345
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_13 ),
    inference(rat,[],[s6552,s6855,s4866,s2680,s6957,s7506,s6836,s6955,s3334,s6760,s7382,s4662,s7544,s7337,s3508,s2154,s2108,s1982,s2733,s538]) ).

cnf(s7567,plain,
    ( ~ spl0_323
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_345
    | ~ spl0_388
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_24
    | spl0_346
    | spl0_47
    | ~ spl0_13 ),
    inference(rat,[],[s3494,s2747,s6258,s2669,s2680,s6855,s7380,s4866,s6957,s6724,s7566,s7337,s3508,s2154,s2108,s1208,s5635,s1982]) ).

cnf(s7568,plain,
    ( ~ spl0_195
    | spl0_200
    | ~ spl0_24
    | spl0_346
    | spl0_31
    | ~ spl0_11
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s2680,s6855,s6109,s7380,s5894,s4866,s6955,s6957,s2065,s6836,s6173,s7567,s7378,s6034,s5312,s5581,s6659,s7565,s7383,s7564,s4144,s7563,s2223,s5127,s7559,s1870,s1910,s280,s6264,s2524,s3984,s67,s22,s24,s7337,s3508,s2154,s5635,s4146,s37,s2108,s1982]) ).

cnf(s7569,plain,
    ( ~ spl0_196
    | ~ spl0_393
    | spl0_195
    | ~ spl0_305
    | spl0_327
    | spl0_200
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_371
    | ~ spl0_428
    | spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_10 ),
    inference(rat,[],[s7540,s4144,s7557,s1760,s3276,s7378,s6957,s6691,s6724,s6962,s2721,s1982,s1786]) ).

cnf(s7570,plain,
    ( ~ spl0_365
    | spl0_196
    | spl0_377
    | spl0_544
    | ~ spl0_305
    | ~ spl0_370
    | spl0_200
    | ~ spl0_63
    | ~ spl0_38
    | ~ spl0_37
    | ~ spl0_10 ),
    inference(rat,[],[s3922,s5516,s2718,s7381,s3011,s4726,s2223,s5312,s6659,s2714,s5573,s4144,s1653,s6691,s6919,s6034,s7383,s5127]) ).

cnf(s7571,plain,
    ( spl0_346
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s4124,s7382,s6957,s6839,s6836,s6173,s7540,s4144,s1760,s7378,s7570,s7569,s7383,s3500,s5242,s1786,s7568,s1208,s2108,s5635,s1982,s6964,s7555,s7337,s67,s3508,s6264,s24,s7541,s2154,s6960,s3984,s6863,s2524,s4146,s7499,s6825,s10,s6139,s4052,s15,s37]) ).

cnf(s7572,plain,
    ( ~ spl0_365
    | spl0_487
    | spl0_196
    | ~ spl0_200
    | spl0_192
    | ~ spl0_197
    | ~ spl0_20
    | ~ spl0_25
    | spl0_47
    | ~ spl0_246 ),
    inference(rat,[],[s7527,s2223,s3866,s67,s7524,s6113,s6919,s3584,s5127]) ).

cnf(s7573,plain,
    ( ~ spl0_371
    | spl0_465
    | ~ spl0_366
    | spl0_548
    | ~ spl0_199
    | spl0_596
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_424
    | ~ spl0_346
    | spl0_47
    | ~ spl0_246 ),
    inference(rat,[],[s2678,s3580,s7380,s6957,s6455,s6117,s5288,s6468,s67,s4299,s7508,s1835,s5295,s6865,s3502,s7382,s5633,s7337,s6446]) ).

cnf(s7574,plain,
    ( ~ spl0_302
    | spl0_371
    | ~ spl0_366
    | spl0_192
    | ~ spl0_195
    | ~ spl0_424
    | ~ spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s6312,s3664,s6300,s7380,s7382,s5843,s2145,s3580,s2733,s538,s1690]) ).

cnf(s7575,plain,
    ( ~ spl0_200
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_25
    | ~ spl0_346
    | spl0_47
    | ~ spl0_11
    | ~ spl0_9
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3016,s7380,s1835,s3339,s5144,s4299,s2472,s6283,s6468,s1653,s6956,s6102,s5739,s6101,s6957,s7574,s7573,s3953,s7378,s7572,s5609,s5974,s5127,s5900,s2219,s681,s3984,s2669,s538,s6197,s37,s4432,s1870,s1910,s2651]) ).

cnf(s7576,plain,
    ( ~ spl0_301
    | ~ spl0_429
    | ~ spl0_304
    | ~ spl0_443
    | ~ spl0_20
    | spl0_47 ),
    inference(rat,[],[s6446,s5027,s5014]) ).

cnf(s7577,plain,
    ( ~ spl0_195
    | spl0_24
    | ~ spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s67,s7508,s5754,s6865,s5892,s7337,s7382,s6446,s2145,s7574,s2733,s7378,s6919,s3584,s5127,s3276,s6957,s7576,s6303,s2151,s3041,s6962,s6955,s7531,s1653,s6214,s6215,s6858,s1651,s2504,s5631,s1982,s6964,s7575,s4432,s1870,s6197,s1910,s538,s3984,s6863,s4146,s7499,s37,s2669,s2651,s65,s19,s255]) ).

cnf(s7579,plain,
    ( spl0_100
    | spl0_201
    | ~ spl0_327
    | ~ spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s2911,s7358,s7352,s131]) ).

cnf(s7582,plain,
    ( ~ spl0_100
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_192
    | ~ spl0_544
    | ~ spl0_371
    | ~ spl0_150
    | ~ spl0_383
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s2216,s6222,s6543,s3691,s3617,s2396,s3779,s3273,s7389,s6969,s5953,s3513,s3499,s6213,s4452,s37]) ).

cnf(s7583,plain,
    ( ~ spl0_323
    | ~ spl0_544
    | ~ spl0_206
    | ~ spl0_371
    | ~ spl0_345
    | ~ spl0_200
    | ~ spl0_150
    | ~ spl0_383
    | spl0_360
    | ~ spl0_346
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s2911,s7358,s7362,s131,s7582,s7380,s3806,s6283,s3920,s6956,s6957,s7506,s3021,s3584]) ).

cnf(s7584,plain,
    ( ~ spl0_206
    | ~ spl0_365
    | ~ spl0_371
    | spl0_196
    | ~ spl0_200
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_383
    | ~ spl0_20
    | spl0_360
    | ~ spl0_346
    | spl0_31
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s6747,s7382,s3011,s3755,s79,s6303,s183,s2151,s5720,s7583,s3584,s6919,s3984,s7383,s5981,s6212,s5127,s7337,s6446,s4146,s37]) ).

cnf(s7585,plain,
    ( ~ spl0_365
    | ~ spl0_371
    | ~ spl0_200
    | spl0_24
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s7505,s5144,s5617,s6283,s6961,s6956,s79,s6691,s6926,s183,s6113,s6468,s1653,s5719,s7584,s6863,s2651,s19,s7383,s5981,s1786,s53,s1660,s6212,s6858,s514,s46,s2268,s7577,s7571,s681,s5900,s5127,s2219,s6446,s4146,s7499,s6825,s15,s37,s255,s10,s6139,s4052]) ).

cnf(s7586,plain,
    ( ~ spl0_371
    | ~ spl0_200
    | spl0_24
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6747,s7382,s3921,s5632,s3953,s7378,s7585,s7337,s6446,s7383,s5981,s1786,s7577,s7571,s255,s4146,s7499,s6825,s10,s6139,s4052,s15,s37]) ).

cnf(s7587,plain,
    ( ~ spl0_362
    | ~ spl0_312
    | spl0_395
    | ~ spl0_372 ),
    inference(rat,[],[s2228,s4242,s7334]) ).

cnf(s7588,plain,
    ( ~ spl0_100
    | ~ spl0_327
    | ~ spl0_302
    | ~ spl0_192
    | ~ spl0_544
    | ~ spl0_365
    | ~ spl0_200
    | ~ spl0_150
    | ~ spl0_383
    | spl0_195
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s4015,s2024,s142,s2596,s4223,s2170,s7381,s2105,s7382,s7587,s6969,s3924,s2039,s2396,s4500,s3779,s7334,s3273,s7389,s5953,s513,s3513,s6213,s4452,s37,s2952]) ).

cnf(s7589,plain,
    ( ~ spl0_323
    | ~ spl0_544
    | ~ spl0_206
    | ~ spl0_365
    | ~ spl0_345
    | ~ spl0_200
    | ~ spl0_150
    | ~ spl0_383
    | spl0_195
    | spl0_360
    | ~ spl0_346
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s2911,s7358,s7362,s131,s7588,s6283,s6956,s6957,s7506,s3021,s3584]) ).

cnf(s7590,plain,
    ( ~ spl0_206
    | ~ spl0_365
    | spl0_196
    | ~ spl0_200
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_383
    | spl0_195
    | ~ spl0_20
    | ~ spl0_62
    | spl0_360
    | ~ spl0_346
    | spl0_31
    | ~ spl0_11
    | spl0_4 ),
    inference(rat,[],[s2675,s7381,s6956,s5476,s4216,s6439,s4647,s1688,s6033,s1208,s67,s5785,s2503,s5077,s6062,s5123,s2140,s7380,s6957,s2122,s6747,s6181,s4256,s3622,s3587,s5731,s7382,s3011,s3755,s79,s6303,s183,s5225,s2151,s5720,s7589,s1835,s3584,s3017,s6919,s3984,s7383,s5981,s4146,s6212,s37,s681,s5127]) ).

cnf(s7591,plain,
    ( ~ spl0_365
    | ~ spl0_200
    | spl0_24
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s7505,s2106,s5144,s5617,s6283,s6961,s6956,s79,s6691,s6926,s183,s6113,s6468,s1653,s5719,s7590,s6863,s2651,s65,s19,s7383,s5981,s1786,s53,s1660,s6212,s6858,s514,s46,s2268,s7577,s7571,s4146,s7499,s15,s681,s5900,s37,s255,s10,s6139,s4052,s5127,s2219,s6825]) ).

cnf(s7592,plain,
    ( ~ spl0_362
    | ~ spl0_466
    | ~ spl0_302
    | ~ spl0_304
    | spl0_593
    | ~ spl0_206
    | spl0_392
    | ~ spl0_366
    | spl0_377
    | spl0_195
    | spl0_360 ),
    inference(rat,[],[s4216,s4647,s1208,s67,s2106,s5077,s4866,s2140,s7380,s6747,s6181,s4256,s7383]) ).

cnf(s7593,plain,
    ( ~ spl0_200
    | spl0_24
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5522,s7381,s3501,s4519,s3755,s2145,s7382,s7592,s6303,s6957,s2151,s4391,s6101,s3041,s6955,s5731,s2335,s4144,s3921,s5975,s3953,s7378,s7591,s1690,s7586,s5609,s5127,s2219,s681,s3984,s6863,s2669,s2651,s65,s5981,s1786,s7577,s7571,s255,s4146,s7499,s6825,s10,s6139,s4052,s15,s37]) ).

cnf(s7594,plain,
    ( ~ spl0_365
    | ~ spl0_38
    | ~ spl0_206
    | ~ spl0_305
    | spl0_544
    | ~ spl0_393 ),
    inference(rat,[],[s2721,s6691,s6919]) ).

cnf(s7595,plain,
    ( ~ spl0_196
    | ~ spl0_38
    | ~ spl0_466
    | ~ spl0_304
    | ~ spl0_443
    | ~ spl0_20
    | spl0_47 ),
    inference(rat,[],[s7576,s6957,s6962,s3276,s2721]) ).

cnf(s7596,plain,
    ( spl0_100
    | ~ spl0_368
    | ~ spl0_364
    | spl0_192
    | ~ spl0_362
    | ~ spl0_366
    | spl0_201
    | ~ spl0_11 ),
    inference(rat,[],[s4263,s4992,s5282,s7357,s7352,s131]) ).

cnf(s7597,plain,
    ( ~ spl0_371
    | spl0_192
    | spl0_306
    | ~ spl0_362
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_304
    | ~ spl0_305
    | spl0_201
    | ~ spl0_150
    | ~ spl0_383
    | spl0_360
    | ~ spl0_346
    | ~ spl0_11
    | ~ spl0_10 ),
    inference(rat,[],[s6872,s6969,s3691,s3499,s6213,s4930,s4452,s7596,s7381,s5476,s6455,s7380,s3806,s6173,s3041,s1653,s2893,s7337]) ).

cnf(s7598,plain,
    ( spl0_24
    | spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5175,s7380,s4237,s6455,s5405,s5429,s7597,s3011,s6747,s7337,s5077,s67,s4647,s4216,s6181,s7382,s4124,s3580,s6957,s6101,s5609,s5127,s7595,s7378,s7594,s79,s6303,s183,s2151,s5720,s3041,s6955,s1653,s1208,s5242,s6214,s6215,s2504,s1982,s6964,s7593,s6212,s53,s6858,s1660,s7383,s514,s5981,s46,s1786,s2268,s2952,s7577,s255,s65,s3984,s6863,s4146,s7499,s10,s6139,s4052,s15,s37,s2651,s7571,s6825]) ).

cnf(s7600,plain,
    ( ~ spl0_365
    | spl0_544
    | spl0_487
    | spl0_196
    | ~ spl0_200
    | ~ spl0_41 ),
    inference(rat,[],[s4195,s1208,s6032,s3306,s6113,s1653,s6919]) ).

cnf(s7601,plain,
    ( ~ spl0_301
    | ~ spl0_206
    | spl0_607
    | spl0_196 ),
    inference(rat,[],[s6102,s5739]) ).

cnf(s7605,plain,
    ( ~ spl0_195
    | ~ spl0_206
    | spl0_196
    | ~ spl0_24
    | ~ spl0_346
    | spl0_47
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(rat,[],[s5288,s5295,s6455,s7337,s7382,s7380,s3508,s2145,s5843,s7574,s2733,s3580,s7378,s6919,s3584,s1910,s538,s2669,s67,s24,s6957,s7601,s5609,s5127,s2651]) ).

cnf(s7606,plain,
    ( ~ spl0_365
    | spl0_195
    | ~ spl0_206
    | spl0_196
    | ~ spl0_200
    | ~ spl0_63
    | ~ spl0_41
    | ~ spl0_24
    | spl0_360
    | ~ spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s5332,s307,s4241,s513,s6037,s7351,s1947,s2650,s2387,s139,s2633,s1688,s7579,s269,s3175,s6283,s6961,s53,s6956,s5516,s2773,s7506,s3922,s2151,s7381,s6306,s4519,s3755,s2145,s7382,s6747,s7337,s5123,s2405,s2535,s2536,s2122,s3587,s2718,s3011,s3584,s6919,s1679,s6264,s3984,s681,s3920,s6957,s7601,s5609,s5127,s7383,s3500,s1786]) ).

cnf(s7607,plain,
    ( ~ spl0_206
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6769,s7337,s3673,s2045,s3204,s3041,s6955,s2335,s5975,s7378,s7606,s1786,s7605,s6863,s2524,s4146,s37,s2651,s280,s7499,s67,s24,s2219]) ).

cnf(s7608,plain,
    ( ~ spl0_195
    | ~ spl0_327
    | spl0_315
    | spl0_309
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200
    | ~ spl0_28
    | ~ spl0_63
    | ~ spl0_11
    | ~ spl0_9 ),
    inference(rat,[],[s2105,s7381,s7382,s1794,s2309,s1835,s2223,s6829,s1910,s5127,s3866,s2219,s2103]) ).

cnf(s7609,plain,
    ( ~ spl0_200
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6691,s7378,s7383,s5975,s3500,s1786,s7608,s6283,s6956,s1208,s6926,s2536,s3306,s6468,s4144,s1653,s7607,s5127,s2219,s681,s6863,s2524,s4146,s37,s2651,s280,s7499,s67,s22,s24]) ).

cnf(s7610,plain,
    ( ~ spl0_365
    | spl0_315
    | ~ spl0_195
    | ~ spl0_206
    | ~ spl0_305
    | ~ spl0_41
    | ~ spl0_11 ),
    inference(rat,[],[s1998,s1798,s1835,s6691,s3017]) ).

cnf(s7611,plain,
    ( ~ spl0_195
    | ~ spl0_206
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7525,s6955,s7337,s3673,s3175,s2045,s3204,s6173,s6788,s1835,s6261,s4686,s7378,s7610,s6962,s2721,s7605,s6863,s280,s6264,s2524,s3984,s1208,s5635,s1982,s7609,s4146,s7499,s37]) ).

cnf(s7612,plain,
    ( ~ spl0_206
    | ~ spl0_24
    | ~ spl0_346
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6769,s7337,s3673,s2045,s3204,s3041,s6955,s2335,s1760,s7378,s7594,s7383,s3500,s5242,s1786,s7611,s6863,s280,s6264,s2524,s3984,s6964,s1208,s5635,s1982,s7609,s4146,s7499,s37]) ).

cnf(s7613,plain,
    ( ~ spl0_365
    | spl0_315
    | spl0_596
    | spl0_192
    | ~ spl0_195
    | ~ spl0_370
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_346
    | spl0_47
    | ~ spl0_13 ),
    inference(rat,[],[s7525,s6955,s7337,s3673,s3175,s4436,s5051,s3334,s7382,s6865,s1835,s1998,s6670,s3587,s1798,s4195,s6691,s6032,s1208,s5635,s6962]) ).

cnf(s7614,plain,
    ( ~ spl0_196
    | spl0_596
    | spl0_192
    | ~ spl0_195
    | spl0_200
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_346
    | spl0_47
    | ~ spl0_13
    | ~ spl0_246 ),
    inference(rat,[],[s31,s7576,s5026,s6955,s6957,s3175,s2145,s3334,s7382,s6865,s1835,s6261,s4686,s2733,s7378,s7613,s6962,s2721,s6964,s1982,s538]) ).

cnf(s7615,plain,
    ( ~ spl0_304
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_345
    | ~ spl0_201
    | ~ spl0_41
    | ~ spl0_24
    | spl0_360
    | ~ spl0_346
    | ~ spl0_37 ),
    inference(rat,[],[s6552,s6855,s4866,s7337,s3673,s6957,s5144,s2045,s3204,s6101,s7506,s5609]) ).

cnf(s7616,plain,
    ( ~ spl0_195
    | ~ spl0_201
    | spl0_200
    | ~ spl0_41
    | ~ spl0_24
    | ~ spl0_346
    | spl0_47
    | ~ spl0_37
    | ~ spl0_9
    | ~ spl0_13
    | spl0_4 ),
    inference(rat,[],[s3646,s6307,s6747,s6865,s7382,s7337,s3334,s2081,s2696,s6956,s7615,s7378,s7570,s7383,s7564,s2223,s3584,s5127,s7614,s4432,s1870,s1910,s538,s37,s2651,s6264,s3984,s67,s22,s24,s1208,s5635,s1982]) ).

cnf(s7617,plain,
    ( spl0_6
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s2721,s6691,s7570,s7383,s7378,s3500,s1760,s5242,s1786,s7616,s4144,s1653,s7612,s1208,s5635,s1982,s6964,s7609,s67,s6264,s280,s24,s7598,s7571,s4146,s2524,s7499,s6825,s10,s6139,s4052,s15,s3984,s37]) ).

cnf(s7618,plain,
    ( spl0_11
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s6553,s5113,s7380,s4480,s5428,s4868,s3073,s2880,s1786,s538,s1726,s7006,s1798,s5523,s4954,s6726,s6467,s5018,s4828,s6709,s5746,s2900,s5533,s37]) ).

cnf(s7619,plain,
    ( ~ spl0_13
    | spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6823,s6810,s6821,s7618,s5533,s5746,s255,s2154,s1,s37]) ).

cnf(s7620,plain,
    ( ~ spl0_365
    | spl0_315
    | ~ spl0_305
    | spl0_47
    | spl0_618
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s5733,s5221,s5981,s3587,s1798,s4195,s6691,s6032,s6962]) ).

cnf(s7621,plain,
    ( ~ spl0_366
    | ~ spl0_224
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4385,s5733,s5515,s4284,s2733,s538]) ).

cnf(s7622,plain,
    ( spl0_47
    | ~ spl0_365
    | ~ spl0_198
    | ~ spl0_206
    | spl0_618
    | ~ spl0_31
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s5579,s5018,s7620,s4326,s1208,s5617,s5978,s4489]) ).

cnf(s7623,plain,
    ( ~ spl0_206
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s2503,s6961,s4506,s4195,s5018,s3587,s6032,s6182,s6962,s2444,s1212,s7622,s7378,s7621,s3841,s3072,s4489,s681,s6197,s5978]) ).

cnf(s7624,plain,
    ( ~ spl0_365
    | spl0_47
    | ~ spl0_313
    | ~ spl0_319
    | spl0_315
    | spl0_618
    | ~ spl0_31
    | ~ spl0_14
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5018,s2002,s6205,s6961,s5981,s5702,s7620,s5370,s5978]) ).

cnf(s7625,plain,
    ( ~ spl0_366
    | ~ spl0_217
    | spl0_387
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s1835,s5733,s4299,s5975]) ).

cnf(s7626,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s1208,s2002,s4195,s5018,s3587,s5949,s2444,s5702,s7624,s5370,s6032,s7378,s7625,s6962,s1688,s6108,s6113,s6468,s5622,s4144,s1653,s7623,s6197,s5900,s5978,s3984,s37,s681]) ).

cnf(s7627,plain,
    ( ~ spl0_365
    | ~ spl0_306
    | spl0_423
    | ~ spl0_58
    | ~ spl0_23
    | ~ spl0_37
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_8
    | spl0_9
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s3904,s5051,s7380,s7382,s3016,s2309,s6273,s3587,s5141,s3271,s4195,s6956,s6032,s6962,s5901,s3595,s1688,s6108,s4708,s5622,s3314,s3017,s6467,s1835,s5523,s6261,s1726,s4070,s1798,s2423,s3984,s538,s1208,s2503,s4506,s37,s681,s5077]) ).

cnf(s7628,plain,
    ( ~ spl0_196
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5975,s4144,s5733,s4489,s4385,s3072,s5515,s7621,s2733,s7378,s7627,s1353,s6507,s2254,s203,s2503,s6659,s4506,s5533,s6498,s2524,s7626,s37,s65,s19,s681,s538]) ).

cnf(s7629,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s1212,s5617,s6182,s4326,s5978]) ).

cnf(s7630,plain,
    ( ~ spl0_365
    | spl0_466
    | ~ spl0_32
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_195
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_8
    | spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s2611,s3920,s6956,s7283,s3041,s5805,s6273,s7146,s4685,s7380,s2096,s2586,s4070,s1724,s6261,s5702,s3314,s3017,s3984,s5622,s605,s5204,s37]) ).

cnf(s7631,plain,
    ( ~ spl0_195
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7283,s4866,s5805,s2106,s7380,s6961,s2096,s4323,s2586,s2294,s4385,s7227,s7381,s5733,s1724,s6257,s4284,s7378,s7630,s5077,s1353,s6507,s203,s6659,s6477,s5533,s6498,s2524,s7629,s605,s5204,s5622,s9,s7145,s7147,s4832,s7628,s37,s65,s19,s681]) ).

cnf(s7632,plain,
    ( spl0_223
    | ~ spl0_392
    | ~ spl0_377
    | ~ spl0_23
    | ~ spl0_8 ),
    inference(rat,[],[s3011,s6235,s4385]) ).

cnf(s7633,plain,
    ( ~ spl0_365
    | ~ spl0_305
    | spl0_315
    | ~ spl0_23
    | spl0_11
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(rat,[],[s3073,s6467,s5733,s7632,s5428,s3587,s4195,s1798,s6032,s6691,s6962]) ).

cnf(s7634,plain,
    ( ~ spl0_306
    | spl0_38
    | spl0_47
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_622 ),
    inference(rat,[],[s7003,s5661,s6446]) ).

cnf(s7635,plain,
    ( spl0_306
    | ~ spl0_319
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_360 ),
    inference(rat,[],[s7321,s5014,s6725,s6955,s3271]) ).

cnf(s7637,plain,
    ( ~ spl0_223
    | ~ spl0_366
    | ~ spl0_198
    | spl0_11
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s1840,s6467,s5733]) ).

cnf(s7638,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5520,s7380,s1690,s5050,s6453,s5077,s7635,s4865,s5702,s4385,s1835,s7637,s7378,s7633,s6962,s1208,s5579,s2503,s3841,s4506,s5462,s5126,s5018,s9,s7629,s5978,s681,s4489]) ).

cnf(s7639,plain,
    ( ~ spl0_360
    | ~ spl0_196
    | spl0_466
    | ~ spl0_306
    | ~ spl0_32
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_370
    | ~ spl0_14
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s6510,s5203,s6955,s6957,s5100,s2828,s2104,s6009,s7006,s2151,s4961,s6497,s6960,s3841]) ).

cnf(s7642,plain,
    ( spl0_360
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s2611,s3920,s6956,s7283,s3041,s5639,s9,s6273,s7146,s5462,s605,s5204]) ).

cnf(s7643,plain,
    ( ~ spl0_206
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s2611,s3920,s6956,s7283,s3041,s6009,s5126,s2151,s7639,s6497,s7642,s5077,s1353,s6507,s203,s6659,s6477,s5533,s6498,s2524,s7638,s605,s5204,s4489,s65,s19]) ).

cnf(s7644,plain,
    ( ~ spl0_12
    | ~ spl0_319
    | spl0_370
    | spl0_206
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s7525,s6962,s4954,s7337,s6113,s2900,s6453,s5900,s6659,s2254,s6959,s5901,s6115,s6955,s2002,s3271,s3812,s5462,s1688]) ).

cnf(s7645,plain,
    ( spl0_323
    | ~ spl0_319
    | spl0_370
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6115,s6955,s1690,s3271,s5746,s6273]) ).

cnf(s7646,plain,
    ( spl0_223
    | ~ spl0_552
    | ~ spl0_313
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6551,s5370,s4199,s5702,s4385,s1835]) ).

cnf(s7647,plain,
    ( ~ spl0_200
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5902,s6956,s7381,s5901,s5476,s7382,s2254,s1208,s6033,s2309,s6659,s2002,s7378,s1308,s5533,s6498,s5975,s4135,s6810,s5733,s7646,s5639,s6009,s7645,s9,s7644,s4708,s6439,s7147,s1688,s6108,s5622,s4144,s1653,s7643,s7631,s3984,s37,s65]) ).

cnf(s7648,plain,
    ( ~ spl0_306
    | spl0_383
    | ~ spl0_193
    | ~ spl0_20
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(rat,[],[s5520,s7380,s1690,s5050,s6453,s5077,s5462,s3812]) ).

cnf(s7649,plain,
    ( ~ spl0_371
    | spl0_306
    | ~ spl0_429
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_370 ),
    inference(rat,[],[s5014,s6955,s6957,s5100,s2828,s2104,s3841]) ).

cnf(s7650,plain,
    ( spl0_223
    | ~ spl0_20
    | ~ spl0_196
    | ~ spl0_12
    | ~ spl0_370
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s4025,s7382,s2151,s5143,s7003,s7649,s7648,s1724,s5524,s5702,s4385,s1835,s5462,s6962,s5579,s3841,s3812]) ).

cnf(s7651,plain,
    ( ~ spl0_20
    | ~ spl0_196
    | spl0_11
    | ~ spl0_370
    | spl0_399
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s3577,s4644,s7378,s3073,s7637,s6467,s5733,s7650,s5579,s3812,s9,s3841]) ).

cnf(s7652,plain,
    ( spl0_11
    | ~ spl0_206
    | spl0_399
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7639,s5077,s1353,s6507,s6461,s2524,s203,s5978,s6659,s7651,s3812,s5462,s5126,s9,s65,s19,s4489]) ).

cnf(s7654,plain,
    ( spl0_223
    | spl0_323
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6552,s4868,s5520,s5225,s5702,s4385,s1835,s6273,s1690,s5746]) ).

cnf(s7655,plain,
    ( ~ spl0_20
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6240,s7378,s6205,s3017,s7654,s6791,s4326,s5785,s5533]) ).

cnf(s7656,plain,
    ( spl0_223
    | spl0_315
    | ~ spl0_196
    | spl0_319
    | ~ spl0_34
    | ~ spl0_32
    | ~ spl0_8
    | spl0_9
    | ~ spl0_62
    | ~ spl0_10 ),
    inference(rat,[],[s5845,s7383,s7378,s3060,s2294,s4865,s5702,s4385,s1835]) ).

cnf(s7658,plain,
    ( spl0_223
    | spl0_327
    | ~ spl0_34
    | ~ spl0_32
    | ~ spl0_11
    | ~ spl0_206
    | spl0_200
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s4866,s7380,s7378,s2096,s2510,s6957,s2586,s3021,s1724,s2294,s7654,s5702,s4385,s1835]) ).

cnf(s7659,plain,
    ( ~ spl0_206
    | spl0_200
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6497,s6273,s2151,s7540,s5999,s7227,s4122,s1308,s7378,s4135,s3017,s5733,s7658,s2106,s1353,s1649,s6507,s6461,s203,s5978,s7148,s6659,s7655,s7652,s605,s5204,s4489,s6960,s19,s3599,s65]) ).

cnf(s7660,plain,
    ( ~ spl0_306
    | spl0_38
    | ~ spl0_20
    | ~ spl0_12
    | ~ spl0_622 ),
    inference(rat,[],[s7003,s5661,s6453,s5462,s3812]) ).

cnf(s7661,plain,
    ( ~ spl0_544
    | spl0_392
    | ~ spl0_20
    | spl0_335
    | ~ spl0_12
    | ~ spl0_196
    | ~ spl0_313
    | spl0_206
    | spl0_314
    | ~ spl0_443
    | ~ spl0_622
    | ~ spl0_25 ),
    inference(rat,[],[s5516,s3922,s7381,s5053,s7382,s6957,s6747,s1202,s7337,s7660,s1208,s5644,s7383,s2721,s1726,s2122,s538,s3587,s5242,s5462,s3812,s2718]) ).

cnf(s7662,plain,
    ( ~ spl0_306
    | ~ spl0_20
    | ~ spl0_12
    | spl0_370
    | spl0_206
    | ~ spl0_622
    | ~ spl0_14 ),
    inference(rat,[],[s5141,s6956,s2151,s6115,s7003,s1690,s6453,s5077,s5462,s3812]) ).

cnf(s7663,plain,
    ( ~ spl0_365
    | spl0_544
    | ~ spl0_313
    | spl0_200 ),
    inference(rat,[],[s3515,s6034]) ).

cnf(s7664,plain,
    ( ~ spl0_20
    | ~ spl0_203
    | spl0_335
    | spl0_385
    | ~ spl0_192
    | ~ spl0_12
    | ~ spl0_196
    | spl0_370
    | spl0_206
    | spl0_314
    | spl0_200
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_25
    | ~ spl0_428 ),
    inference(rat,[],[s6552,s4238,s4868,s538,s7382,s3580,s2733,s3887,s7378,s7663,s6957,s1202,s7662,s7661,s5428,s6964,s1688,s5462,s3812]) ).

cnf(s7665,plain,
    ( spl0_11
    | ~ spl0_223
    | ~ spl0_196
    | spl0_370
    | spl0_206
    | spl0_314
    | spl0_200
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_8
    | spl0_24
    | ~ spl0_428
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s1649,s5741,s6507,s6461,s203,s5978,s6659,s7664,s3073,s5523,s5515,s3812,s6467,s9,s65,s19,s1653,s5733]) ).

cnf(s7666,plain,
    ( spl0_323
    | spl0_370
    | ~ spl0_201
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(rat,[],[s6593,s6201,s6105,s7645,s5746,s1688]) ).

cnf(s7667,plain,
    ( spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6507,s1649,s203,s5741,s6659,s6461,s5533,s6498,s6810,s7666,s7665,s7646,s4708,s7147,s1688,s5622,s1653,s7659,s5434,s6964,s7647,s5507,s6139,s10,s7619,s6,s15,s37,s7617,s6960,s65,s19]) ).

cnf(s7668,plain,
    ( ~ spl0_200
    | ~ spl0_206
    | ~ spl0_13
    | ~ spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7523,s7529,s79,s7518,s183,s6173,s2151,s5720,s7501,s2219,s2524,s53,s1660,s6212,s6858,s7419,s6446,s2154,s4146,s7499,s255,s37]) ).

cnf(s7669,plain,
    ( ~ spl0_206
    | ~ spl0_13
    | ~ spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4124,s7382,s6957,s6839,s6836,s6173,s7540,s7378,s6919,s7539,s5981,s2880,s5242,s1786,s2952,s2108,s7537,s6215,s5631,s1982,s6964,s7668,s6960,s65,s19,s6863,s53,s1660,s6212,s6858,s7419,s6446,s2154,s4146,s7499,s255,s37]) ).

cnf(s7670,plain,
    ( ~ spl0_13
    | ~ spl0_9
    | spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s4726,s3577,s2223,s3866,s1716,s67,s1688,s2002,s5617,s6961,s6691,s7378,s7383,s5975,s5981,s1786,s7529,s6113,s5127,s5900,s2219,s79,s6108,s6215,s183,s4144,s1653,s5719,s7669,s6212,s53,s6858,s1660,s7419,s6446,s4146,s7499,s255,s2154,s3984,s37,s19]) ).

cnf(s7671,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s2611,s3920,s6956,s6957,s3041,s3021,s6009,s4489]) ).

cnf(s7672,plain,
    ( ~ spl0_306
    | ~ spl0_34
    | ~ spl0_348
    | spl0_47
    | ~ spl0_20
    | ~ spl0_570 ),
    inference(rat,[],[s7146,s6446,s6497]) ).

cnf(s7673,plain,
    ( ~ spl0_365
    | spl0_223
    | ~ spl0_421
    | ~ spl0_34
    | ~ spl0_348
    | spl0_309
    | ~ spl0_37
    | spl0_196
    | ~ spl0_206
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428 ),
    inference(rat,[],[s6552,s6855,s5805,s4072,s3755,s7382,s5415,s7383,s5327,s2294,s1910,s3584,s6033,s6919,s5127,s1835]) ).

cnf(s7674,plain,
    ( spl0_100
    | spl0_201
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_370
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s5691,s3019,s5718,s7357,s7352,s131]) ).

cnf(s7676,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_393
    | ~ spl0_364
    | spl0_522
    | ~ spl0_371
    | ~ spl0_23
    | spl0_4 ),
    inference(rat,[],[s112,s3635,s2593,s3499,s5953,s4452,s37]) ).

cnf(s7677,plain,
    ( ~ spl0_83
    | ~ spl0_100
    | ~ spl0_34
    | spl0_47
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(rat,[],[s4484,s161,s369]) ).

cnf(s7678,plain,
    ( ~ spl0_100
    | ~ spl0_393
    | ~ spl0_361
    | ~ spl0_530
    | ~ spl0_364
    | spl0_522
    | ~ spl0_371
    | spl0_223
    | ~ spl0_34
    | ~ spl0_23
    | spl0_47
    | ~ spl0_20
    | ~ spl0_6
    | spl0_4 ),
    inference(rat,[],[s5206,s3635,s5574,s112,s171,s7677,s307,s7676,s5794]) ).

cnf(s7679,plain,
    ( ~ spl0_388
    | ~ spl0_511
    | ~ spl0_302
    | ~ spl0_537
    | spl0_360
    | spl0_522
    | ~ spl0_381
    | ~ spl0_371
    | ~ spl0_366
    | spl0_223
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s272,s6239,s2732,s4125,s6108,s7362,s7674,s131,s7678,s7383,s4070,s5850,s7382,s4238,s5327,s6257,s7381,s3830,s3494,s3984,s4146,s37,s7671,s6461,s7629,s1835,s6258,s7380,s4866,s2104,s4489]) ).

cnf(s7680,plain,
    ( spl0_360
    | spl0_522
    | ~ spl0_381
    | ~ spl0_432
    | ~ spl0_371
    | spl0_223
    | spl0_306
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5712,s3755,s6855,s7382,s7383,s4238,s2294,s1910,s1870,s7679,s6455,s7380,s4866,s6957,s7601,s6109,s5609,s5127,s1835,s7378,s7673,s7337,s6461,s2151,s7671,s5617,s4146,s37,s2524,s7629,s5126,s2219,s2104,s4489]) ).

cnf(s7681,plain,
    ( spl0_418
    | ~ spl0_304
    | ~ spl0_421
    | ~ spl0_305 ),
    inference(rat,[],[s3899,s6121,s7006]) ).

cnf(s7682,plain,
    ( ~ spl0_381
    | ~ spl0_371
    | spl0_223
    | spl0_306
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7680,s3432,s6960,s5894,s4954,s7681,s6955,s2611,s6173,s7337,s1208,s5617,s4146,s37,s3204,s7671,s2524,s7629,s5126,s2219,s4489]) ).

cnf(s7683,plain,
    ( ~ spl0_371
    | spl0_223
    | spl0_306
    | ~ spl0_23
    | ~ spl0_224
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4238,s7382,s4284,s5632,s6976,s7682,s7380,s4866,s6957,s7601,s5609,s4954,s7681,s6955,s2611,s2104,s5127,s1208,s6173,s3204,s3953,s7378,s7673,s7337,s6461,s2151,s7671,s5617,s4146,s37,s2524,s7629,s5126,s4489,s2219,s6960]) ).

cnf(s7684,plain,
    ( spl0_383
    | ~ spl0_360
    | spl0_371
    | ~ spl0_193
    | spl0_323
    | ~ spl0_14 ),
    inference(rat,[],[s5850,s4685,s7382,s7380,s5143,s5520,s1724,s1690]) ).

cnf(s7685,plain,
    ( spl0_223
    | ~ spl0_23
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3922,s5516,s7381,s2718,s7383,s5640,s3921,s5981,s7684,s7146,s7683,s3953,s7378,s7673,s1835,s6960,s7145,s681,s2524,s1208,s5617,s7337,s7672,s6461,s2151,s7671,s4146,s7629,s5126,s2219,s4489,s37]) ).

cnf(s7686,plain,
    ( ~ spl0_223
    | spl0_47
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s6357,s2977,s7381,s6470,s5640,s3921,s3953,s7383,s7378,s5981,s3017,s5733,s5617,s4489]) ).

cnf(s7687,plain,
    ( spl0_371
    | spl0_383
    | ~ spl0_193
    | spl0_323
    | ~ spl0_570
    | ~ spl0_14 ),
    inference(rat,[],[s7684,s7146]) ).

cnf(s7688,plain,
    ( ~ spl0_365
    | ~ spl0_466
    | ~ spl0_421
    | spl0_309
    | spl0_196
    | ~ spl0_206
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428 ),
    inference(rat,[],[s5415,s7382,s5327,s3755,s1910,s3584,s6033,s6919,s5127]) ).

cnf(s7689,plain,
    ( ~ spl0_361
    | ~ spl0_511
    | spl0_465
    | ~ spl0_466
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_62
    | ~ spl0_19 ),
    inference(rat,[],[s5288,s6230,s3755,s5633]) ).

cnf(s7690,plain,
    ( spl0_360
    | spl0_465
    | ~ spl0_366
    | ~ spl0_466
    | spl0_306
    | spl0_327
    | ~ spl0_371
    | ~ spl0_63
    | spl0_196
    | ~ spl0_206
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_19 ),
    inference(rat,[],[s5288,s1910,s5295,s4238,s7382,s7689,s6455,s7380,s4866,s6957,s7601,s5609,s2669,s5127,s7337]) ).

cnf(s7691,plain,
    ( ~ spl0_195
    | ~ spl0_366
    | ~ spl0_381
    | ~ spl0_63
    | spl0_309
    | ~ spl0_200
    | ~ spl0_370
    | ~ spl0_9
    | ~ spl0_25 ),
    inference(rat,[],[s1792,s7381,s2223,s6257,s1910,s5127,s2219]) ).

cnf(s7692,plain,
    ( ~ spl0_363
    | ~ spl0_393
    | ~ spl0_360
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_193
    | spl0_323 ),
    inference(rat,[],[s6553,s5850,s6747,s4685,s5175,s5225]) ).

cnf(s7693,plain,
    ( spl0_383
    | ~ spl0_63
    | spl0_417
    | spl0_47
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s7689,s4238,s6455,s7380,s7692,s7691,s7383,s1727,s2680,s7690,s3953,s7378,s7688,s5712,s7681,s6955,s7337,s2611,s6446,s2104,s7687,s1724,s7629,s1208,s5617,s4489,s2151,s7671,s1835,s7686,s5126,s2219]) ).

cnf(s7694,plain,
    ( ~ spl0_365
    | ~ spl0_360
    | ~ spl0_306
    | ~ spl0_393
    | spl0_484
    | ~ spl0_305
    | spl0_196
    | spl0_320
    | ~ spl0_206 ),
    inference(rat,[],[s3693,s5739,s7380,s6957,s4868,s6062,s3584,s6691,s6919,s5127]) ).

cnf(s7695,plain,
    ( spl0_465
    | ~ spl0_393
    | ~ spl0_383
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_20 ),
    inference(rat,[],[s3922,s5516,s7381,s2718,s5640,s3921]) ).

cnf(s7696,plain,
    ( ~ spl0_306
    | ~ spl0_365
    | ~ spl0_393
    | spl0_484
    | ~ spl0_305
    | spl0_47
    | spl0_196
    | spl0_320
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570 ),
    inference(rat,[],[s7146,s7694,s6446]) ).

cnf(s7697,plain,
    ( ~ spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6552,s6855,s5805,s4072,s7688,s7337,s7696,s7378,s3953,s7695,s7383,s5981,s7693,s67,s5225,s7685,s1835,s7686,s6173,s2151,s7671,s1208,s5617,s4146,s2524,s7629,s5126,s2219,s37,s6960,s5785,s4489]) ).

cnf(s7698,plain,
    ( ~ spl0_323
    | spl0_11
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s6453,s7649,s4828,s6009,s6962,s5579,s3841]) ).

cnf(s7699,plain,
    ( ~ spl0_365
    | ~ spl0_305
    | ~ spl0_193
    | spl0_315
    | ~ spl0_23
    | ~ spl0_443
    | ~ spl0_246 ),
    inference(rat,[],[s6261,s5242,s4070,s4195,s1798,s6032,s6691]) ).

cnf(s7700,plain,
    ( spl0_386
    | ~ spl0_364
    | ~ spl0_193
    | spl0_323
    | ~ spl0_428
    | ~ spl0_246 ),
    inference(rat,[],[s6553,s4238,s5850,s6261]) ).

cnf(s7701,plain,
    ( ~ spl0_309
    | ~ spl0_306
    | ~ spl0_196
    | spl0_200
    | spl0_320
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_428 ),
    inference(rat,[],[s5100,s6956,s7146,s5027,s2900,s6957,s6903,s2645,s2106,s6964]) ).

cnf(s7702,plain,
    ( spl0_223
    | ~ spl0_305
    | spl0_466
    | spl0_323
    | spl0_315
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_443
    | ~ spl0_428
    | ~ spl0_246 ),
    inference(rat,[],[s4686,s7700,s7378,s7380,s7699,s5805,s1835,s2151]) ).

cnf(s7703,plain,
    ( ~ spl0_306
    | spl0_323
    | spl0_11
    | ~ spl0_23
    | ~ spl0_198
    | ~ spl0_196
    | spl0_200
    | spl0_320
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_428
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4195,s6032,s5242,s7378,s1910,s7637,s6467,s7702,s1208,s7701,s5077,s6964,s5579]) ).

cnf(s7704,plain,
    ( ~ spl0_365
    | ~ spl0_193
    | spl0_306
    | spl0_417
    | spl0_323
    | ~ spl0_23
    | ~ spl0_196
    | spl0_399
    | ~ spl0_443
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_246 ),
    inference(rat,[],[s3545,s5707,s5982,s5433,s7687,s2611,s6956,s5014,s6957,s5120,s2002,s6961,s7381,s7699,s3577,s6962,s5579,s3841,s7337]) ).

cnf(s7705,plain,
    ( spl0_223
    | spl0_306
    | spl0_417
    | spl0_323
    | ~ spl0_23
    | ~ spl0_196
    | spl0_399
    | ~ spl0_443
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_246 ),
    inference(rat,[],[s6593,s3276,s6724,s5805,s1208,s7380,s2002,s7700,s4865,s4686,s7378,s7704,s1835,s5579,s3841,s2151,s7337]) ).

cnf(s7706,plain,
    ( spl0_11
    | ~ spl0_23
    | ~ spl0_196
    | spl0_200
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s3577,s4644,s7378,s3073,s7637,s6467,s5733,s7705,s7703,s6173,s7698,s3984,s37,s5785,s6964,s3599,s5579,s3841]) ).

cnf(s7707,plain,
    ( ~ spl0_306
    | ~ spl0_34
    | spl0_47
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570 ),
    inference(rat,[],[s2151,s7003,s7672,s6446]) ).

cnf(s7708,plain,
    ( ~ spl0_193
    | spl0_360
    | spl0_327
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_305
    | spl0_315
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_443
    | spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s5305,s6258,s4475,s2952,s7380,s6261,s4866,s4686,s7378,s7699,s6960]) ).

cnf(s7709,plain,
    ( ~ spl0_323
    | spl0_306
    | ~ spl0_305
    | ~ spl0_11
    | spl0_315
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_443
    | ~ spl0_206
    | ~ spl0_14
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4124,s7378,s7382,s3017,s5733,s2309,s1835,s7708,s6172,s2611,s6956,s7649,s2104,s3041,s6009,s3984,s37,s4489,s6962,s6957,s6724,s7337]) ).

cnf(s7710,plain,
    ( ~ spl0_23
    | ~ spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7146,s3271,s2611,s6956,s7681,s5712,s5120,s6173,s2151,s7709,s3276,s6957,s6724,s7337,s7707,s1208,s5617,s6461,s4146,s6182,s7706,s5579,s37,s6960,s6964,s3841,s4489]) ).

cnf(s7711,plain,
    ( ~ spl0_193
    | spl0_418
    | spl0_315
    | spl0_323
    | spl0_371
    | spl0_47
    | ~ spl0_305
    | ~ spl0_63
    | ~ spl0_198
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s5288,s4237,s6230,s7382,s6261,s5850,s1840,s4686,s7378,s6691,s7383,s5981,s7687]) ).

cnf(s7712,plain,
    ( ~ spl0_306
    | ~ spl0_22
    | ~ spl0_63
    | ~ spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_428
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6592,s7576,s5100,s6957,s2105,s4124,s7382,s4237,s5288,s6230,s5999,s1840,s4122,s7381,s7378,s6357,s6691,s7383,s5981,s5733,s1835,s7711,s2977,s5297,s6962,s2680,s2721,s1241,s7003,s7146,s6446,s4146,s5528,s1860,s1208,s7701,s3984,s37,s5785,s6964,s3841,s4489]) ).

cnf(s7713,plain,
    ( ~ spl0_315
    | ~ spl0_365
    | spl0_223
    | ~ spl0_417
    | ~ spl0_303
    | spl0_510
    | spl0_327
    | spl0_31
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_196
    | spl0_200
    | ~ spl0_62 ),
    inference(rat,[],[s5618,s6356,s3148,s7381,s2952,s5836,s3334,s7380,s7382,s6855,s6181,s7383,s1727,s2670,s2721]) ).

cnf(s7714,plain,
    ( ~ spl0_365
    | spl0_223
    | ~ spl0_417
    | ~ spl0_303
    | spl0_510
    | spl0_327
    | ~ spl0_305
    | spl0_31
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_196
    | spl0_200
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5242,s6197,s4195,s7620,s6032,s7713,s6964,s4146]) ).

cnf(s7715,plain,
    ( spl0_223
    | ~ spl0_417
    | ~ spl0_303
    | spl0_510
    | spl0_360
    | spl0_327
    | ~ spl0_323
    | ~ spl0_305
    | spl0_31
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_196
    | spl0_200
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5305,s6258,s4475,s2952,s7380,s6261,s4866,s4686,s7378,s7714,s1835,s3984,s37,s6960]) ).

cnf(s7716,plain,
    ( ~ spl0_323
    | ~ spl0_340
    | spl0_31
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_63
    | ~ spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4866,s7380,s7378,s3016,s3017,s7715,s2611,s6956,s2085,s5290,s4828,s2669,s2828,s2104,s6009,s5802,s3841,s1208,s5617,s4146,s37,s4489]) ).

cnf(s7717,plain,
    ( ~ spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7146,s3271,s2611,s6956,s7681,s5712,s5120,s6173,s2151,s7716,s1860,s1208,s5617,s4146,s3276,s342,s6957,s6507,s1204,s1353,s7337,s7712,s18,s22,s67,s7710,s37,s6960,s4489,s5434,s6964]) ).

cnf(s7718,plain,
    ( ~ spl0_323
    | ~ spl0_306
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4146,s6446,s6791,s6009]) ).

cnf(s7719,plain,
    ( ~ spl0_371
    | ~ spl0_306
    | ~ spl0_11
    | spl0_200
    | spl0_320
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_428
    | ~ spl0_10 ),
    inference(rat,[],[s6186,s4076,s6903,s6446,s2900]) ).

cnf(s7720,plain,
    ( spl0_223
    | ~ spl0_499
    | ~ spl0_607
    | spl0_420
    | spl0_371
    | spl0_323
    | spl0_466
    | ~ spl0_570
    | ~ spl0_14
    | spl0_346 ),
    inference(rat,[],[s7335,s4258,s4207,s7378,s4244,s5409,s5506,s7380,s7687,s5805,s1835,s2151,s1690,s6543]) ).

cnf(s7721,plain,
    ( ~ spl0_306
    | ~ spl0_23
    | spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6240,s7378,s6205,s3017,s7720,s2803,s2396,s6406,s7601,s6957,s4936,s2645,s6794,s6186,s6461,s6477,s6497,s7146,s7719,s2151,s7718,s5077,s6960,s5785,s4489,s5126]) ).

cnf(s7722,plain,
    ( ~ spl0_544
    | ~ spl0_345
    | ~ spl0_443
    | ~ spl0_9 ),
    inference(rat,[],[s1910,s3584,s5242]) ).

cnf(s7723,plain,
    ( spl0_360
    | ~ spl0_364
    | ~ spl0_323
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s1910,s1870,s2952,s3494,s5305,s2747,s6258,s2669,s4475,s6960]) ).

cnf(s7724,plain,
    ( ~ spl0_323
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s4228,s3798,s2718,s6198,s7006,s6184,s4954,s6847,s7723,s1835,s3016,s7380,s4866,s6957,s2104,s2900,s3021,s6791,s6009,s4489]) ).

cnf(s7725,plain,
    ( ~ spl0_195
    | ~ spl0_393
    | ~ spl0_387
    | ~ spl0_47
    | ~ spl0_345
    | ~ spl0_9 ),
    inference(rat,[],[s3590,s6333,s4433,s7381,s1870,s5999,s2444,s1910]) ).

cnf(s7726,plain,
    ( spl0_360
    | spl0_478
    | spl0_327
    | ~ spl0_366
    | spl0_196
    | ~ spl0_206 ),
    inference(rat,[],[s4866,s6957,s7380,s7601,s6258,s5609,s5127]) ).

cnf(s7727,plain,
    ( ~ spl0_31
    | ~ spl0_193
    | ~ spl0_371
    | spl0_323
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_366
    | spl0_196
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346 ),
    inference(rat,[],[s5327,s5415,s4237,s7382,s5850,s4954,s6847,s7726,s5305,s2952,s7725,s5703,s7383,s5573,s6240,s5617,s6182,s4326,s6960,s5785,s5127,s5126,s2900,s2104]) ).

cnf(s7728,plain,
    ( ~ spl0_99
    | ~ spl0_576
    | ~ spl0_145
    | ~ spl0_361
    | ~ spl0_302
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(rat,[],[s4125,s5705,s7362]) ).

cnf(s7729,plain,
    ( spl0_99
    | spl0_315
    | ~ spl0_368
    | spl0_522
    | ~ spl0_145
    | ~ spl0_361
    | ~ spl0_393
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_34
    | spl0_47
    | ~ spl0_532
    | ~ spl0_304
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(rat,[],[s6649,s6509,s4850,s5045,s3635,s3472,s5292,s112,s171,s7677,s4453,s131]) ).

cnf(s7730,plain,
    ( ~ spl0_195
    | ~ spl0_302
    | ~ spl0_537
    | ~ spl0_34
    | spl0_47
    | spl0_223
    | ~ spl0_532
    | ~ spl0_371
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s3635,s112,s4810,s369,s2082,s5718,s7362,s7729,s5573,s5999,s7381,s3830,s3432,s307,s1724,s7561,s4124,s5633,s7382,s7508,s1870,s6197,s1910,s4954,s7681,s1208,s5617,s6955,s2611,s6173,s2900,s7383,s4070,s7700,s7380,s4866,s2104,s4489,s1835,s7724,s6960]) ).

cnf(s7731,plain,
    ( spl0_223
    | ~ spl0_532
    | ~ spl0_371
    | spl0_306
    | ~ spl0_23
    | ~ spl0_366
    | spl0_196
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s272,s162,s6239,s307,s4125,s7728,s7362,s131,s7678,s3432,s3494,s1724,s1870,s4124,s3755,s7382,s5305,s5327,s4238,s2952,s7730,s7383,s4070,s7700,s6455,s7380,s4866,s6957,s7601,s7726,s6109,s5609,s4954,s5712,s7681,s1208,s5617,s6461,s4146,s7727,s1835,s3984,s6960,s5127,s2151,s2900,s2104,s5894,s6955,s2611,s4489,s6173,s7724,s7337,s5126,s37]) ).

cnf(s7732,plain,
    ( ~ spl0_31
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | spl0_320
    | ~ spl0_206 ),
    inference(rat,[],[s6240,s6205,s4326]) ).

cnf(s7733,plain,
    ( ~ spl0_371
    | spl0_306
    | ~ spl0_23
    | spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s5476,s5999,s2893,s4238,s7382,s4124,s6957,s7601,s5609,s4954,s7681,s1208,s5617,s4146,s7732,s6455,s7380,s4122,s3806,s5733,s7731,s5618,s5892,s6955,s2611,s2900,s6960,s5785,s4489,s6173,s7724,s7337,s7378,s6919,s7722,s5127,s6964,s5126,s37]) ).

cnf(s7734,plain,
    ( ~ spl0_301
    | spl0_195
    | ~ spl0_193
    | spl0_377
    | ~ spl0_315
    | spl0_513
    | ~ spl0_360
    | spl0_371
    | spl0_323
    | ~ spl0_421
    | ~ spl0_443
    | ~ spl0_428 ),
    inference(rat,[],[s4238,s7382,s7380,s2105,s7381,s7692,s2670,s6356,s6099,s6956,s5707,s5027,s7383]) ).

cnf(s7735,plain,
    ( ~ spl0_31
    | spl0_371
    | spl0_323
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_443
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428 ),
    inference(rat,[],[s5405,s4237,s4954,s7382,s3605,s4124,s6957,s7734,s5429,s2952,s7725,s7687,s7383,s1835,s5573,s6240,s5617,s7732,s6182,s4326,s5785,s7146,s5433]) ).

cnf(s7736,plain,
    ( ~ spl0_193
    | spl0_418
    | spl0_47
    | spl0_31
    | spl0_371
    | spl0_323
    | ~ spl0_421
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14 ),
    inference(rat,[],[s6747,s7382,s6184,s5850,s4685,s7380,s6855,s7383,s5981,s7687,s7146]) ).

cnf(s7737,plain,
    ( ~ spl0_23
    | spl0_196
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5405,s4237,s5429,s7382,s2952,s2105,s5999,s7227,s5144,s5222,s7380,s6855,s7383,s5981,s4122,s5733,s1835,s7736,s6956,s7681,s1208,s4954,s5617,s3204,s4146,s2524,s7735,s7146,s7733,s7724,s7337,s7721,s37,s6960,s4489,s5126,s7378,s6919,s7722,s5127,s6964]) ).

cnf(s7738,plain,
    ( ~ spl0_31
    | spl0_371
    | ~ spl0_306
    | spl0_501
    | ~ spl0_11
    | ~ spl0_443
    | spl0_320
    | ~ spl0_206 ),
    inference(rat,[],[s2670,s6956,s6099,s5027,s6957,s2645,s2106,s6182,s4326]) ).

cnf(s7739,plain,
    ( ~ spl0_383
    | spl0_418
    | spl0_47
    | ~ spl0_360
    | spl0_501
    | ~ spl0_63
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_19 ),
    inference(rat,[],[s4868,s7380,s5288,s4238,s6230,s5999,s4237,s7381,s7382,s6356,s4124,s5981,s4122,s3580,s6957,s6099]) ).

cnf(s7740,plain,
    ( ~ spl0_306
    | spl0_501
    | ~ spl0_63
    | ~ spl0_366
    | ~ spl0_11
    | spl0_200
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s1835,s7687,s5733,s7739,s2680,s1241,s4146,s7738,s7146,s7719,s7718,s5785,s4489,s6964]) ).

cnf(s7741,plain,
    ( ~ spl0_195
    | ~ spl0_511
    | ~ spl0_323
    | ~ spl0_417
    | ~ spl0_421
    | ~ spl0_63
    | ~ spl0_9 ),
    inference(rat,[],[s5405,s3166,s7382,s1870,s3334,s1910]) ).

cnf(s7742,plain,
    ( ~ spl0_371
    | ~ spl0_303
    | ~ spl0_302
    | spl0_306
    | ~ spl0_63
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3887,s7382,s5288,s4238,s6230,s7741,s7723,s6455,s7380,s6173,s4866,s2611,s2104,s6960,s7337]) ).

cnf(s7743,plain,
    ( ~ spl0_193
    | spl0_323
    | spl0_371
    | spl0_47
    | spl0_31
    | ~ spl0_302
    | ~ spl0_421
    | spl0_501
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_428 ),
    inference(rat,[],[s4256,s5999,s7380,s5214,s7381,s7692,s7382,s6356,s7383,s4124,s5981,s4122,s7736,s7687,s7146]) ).

cnf(s7744,plain,
    ( ~ spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4238,s5999,s7380,s7382,s4122,s2675,s6228,s5733,s7227,s1835,s7743,s6201,s3271,s7003,s7146,s7742,s4146,s3580,s342,s6956,s6957,s6507,s5892,s1204,s1353,s7337,s7740,s5754,s22,s67,s7737,s7378,s6919,s7722,s5126,s5127,s7717,s5434,s5631,s6964,s7697,s4489,s37,s6960]) ).

cnf(s7745,plain,
    ( ~ spl0_371
    | ~ spl0_544
    | ~ spl0_306
    | ~ spl0_23
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_20
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s5700,s6114,s3436,s6955,s3772,s2935,s4828,s5661,s2721,s2122,s3587,s2444,s4146,s6453,s6446,s6960,s5242]) ).

cnf(s7746,plain,
    ( spl0_371
    | spl0_466
    | spl0_370
    | spl0_206
    | ~ spl0_622
    | ~ spl0_14 ),
    inference(rat,[],[s5141,s6956,s2151,s6115,s7003,s1690]) ).

cnf(s7747,plain,
    ( spl0_223
    | spl0_315
    | spl0_323
    | ~ spl0_366
    | spl0_466
    | ~ spl0_23
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_428
    | ~ spl0_246 ),
    inference(rat,[],[s2002,s6961,s4865,s7702]) ).

cnf(s7748,plain,
    ( spl0_11
    | ~ spl0_366
    | spl0_360
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_428
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4238,s7382,s7380,s5040,s1910,s3806,s6467,s5733,s7747,s2721,s5661,s6173,s4828,s3984,s37,s6964,s2219,s5077,s4686]) ).

cnf(s7749,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | spl0_386
    | ~ spl0_31
    | spl0_360
    | spl0_493
    | ~ spl0_371
    | ~ spl0_306
    | spl0_370
    | ~ spl0_443
    | spl0_206
    | ~ spl0_14
    | ~ spl0_9
    | spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s5175,s6333,s2880,s5630,s6976,s3154,s5510,s7381,s2952,s7383,s6200,s6261,s3904,s1835,s7380,s6810,s2935,s7723]) ).

cnf(s7750,plain,
    ( ~ spl0_99
    | ~ spl0_223
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(rat,[],[s4005,s3652,s4785,s7375,s6174,s5949,s6205]) ).

cnf(s7751,plain,
    ( ~ spl0_306
    | ~ spl0_23
    | spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4484,s321,s4850,s319,s6969,s5496,s4247,s6137,s4235,s4068,s6221,s4936,s4453,s7750,s5982,s7381,s3551,s2952,s7380,s2444,s3806,s5700,s5949,s5733,s6114,s7747,s6955,s2721,s5141,s5661,s6173,s2151,s7749,s7748,s4686,s7378,s7663,s4146,s7745,s6453,s6446,s2900,s7746,s5077,s3984,s37,s6960,s6964,s2219,s1688]) ).

cnf(s7752,plain,
    ( spl0_11
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | ~ spl0_383
    | ~ spl0_544
    | ~ spl0_371
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_23
    | spl0_206
    | ~ spl0_20
    | ~ spl0_246 ),
    inference(rat,[],[s6855,s7380,s3769,s2151,s3806,s6113,s4828,s7383,s3334,s2122,s6847,s4070,s7382,s3587,s6261,s7508,s5221,s1835,s6467]) ).

cnf(s7753,plain,
    ( spl0_31
    | spl0_618
    | ~ spl0_365
    | ~ spl0_23
    | ~ spl0_552
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7454,s7620,s5741,s3595,s6461,s4146,s2524]) ).

cnf(s7754,plain,
    ( ~ spl0_365
    | ~ spl0_371
    | ~ spl0_302
    | spl0_306
    | ~ spl0_23
    | ~ spl0_313
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s2444,s3587,s7620,s6962,s6113,s3769,s7681,s1208,s6955,s2002,s5141,s5120,s2151,s5176,s7753,s7752,s6197,s1910,s5242,s5370,s7663,s3984,s37,s1653,s4708,s6964,s2219,s7337,s3276]) ).

cnf(s7755,plain,
    ( ~ spl0_195
    | spl0_11
    | spl0_386
    | ~ spl0_9
    | ~ spl0_246 ),
    inference(rat,[],[s1835,s6467,s6261,s1910]) ).

cnf(s7756,plain,
    ( spl0_223
    | ~ spl0_360
    | spl0_502
    | ~ spl0_366
    | spl0_466
    | spl0_306
    | ~ spl0_23
    | ~ spl0_196
    | spl0_206 ),
    inference(rat,[],[s6455,s5476,s1208,s7380,s7381,s2002,s5050,s6200,s4865,s1835,s4686]) ).

cnf(s7757,plain,
    ( ~ spl0_360
    | spl0_502
    | spl0_195
    | spl0_11
    | ~ spl0_366
    | ~ spl0_302
    | spl0_306
    | ~ spl0_23
    | ~ spl0_196
    | spl0_206
    | ~ spl0_428 ),
    inference(rat,[],[s4238,s7380,s7382,s4868,s3887,s6467,s7756,s3276,s3580]) ).

cnf(s7758,plain,
    ( spl0_11
    | ~ spl0_366
    | ~ spl0_302
    | spl0_306
    | ~ spl0_23
    | ~ spl0_313
    | ~ spl0_196
    | spl0_206
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_246 ),
    inference(rat,[],[s6467,s5040,s1835,s7382,s7700,s4238,s7380,s4866,s5144,s4828,s7757,s6439,s7755,s1653,s4686]) ).

cnf(s7759,plain,
    ( ~ spl0_195
    | ~ spl0_323
    | ~ spl0_11
    | spl0_386
    | ~ spl0_371
    | ~ spl0_14
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s2309,s3334,s6172,s3806,s7380,s3016,s5733,s1835,s6261,s3984,s37]) ).

cnf(s7760,plain,
    ( ~ spl0_193
    | ~ spl0_429
    | spl0_47
    | spl0_31
    | spl0_386
    | spl0_370
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14 ),
    inference(rat,[],[s5981,s1798,s6976,s6682,s5510,s7381,s6184,s6200]) ).

cnf(s7761,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | spl0_386
    | ~ spl0_366
    | ~ spl0_302
    | spl0_306
    | ~ spl0_23
    | spl0_370
    | ~ spl0_552
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5175,s6682,s7525,s7381,s6955,s2105,s6365,s7382,s2309,s2103,s4866,s7383,s7380,s5981,s3016,s5733,s1835,s7760,s6962,s3595,s4146,s2524,s5176,s1653,s7337,s3580]) ).

cnf(s7762,plain,
    ( ~ spl0_23
    | spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3986,s2940,s319,s6969,s5496,s4247,s6137,s4235,s2952,s4068,s6221,s2444,s4936,s131,s5981,s7750,s5949,s5733,s7312,s1835,s4072,s5712,s7700,s7681,s1208,s7380,s6955,s2002,s4866,s5141,s5120,s5144,s2151,s7761,s7758,s4686,s7378,s7754,s7746,s3276,s6957,s1202,s7337,s7751,s3984,s37,s6960,s1653,s4708,s5434,s6964,s2219,s1688]) ).

cnf(s7763,plain,
    ( spl0_371
    | spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_622
    | ~ spl0_14 ),
    inference(rat,[],[s3276,s6957,s7746,s6105,s1688]) ).

cnf(s7764,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_200
    | ~ spl0_428 ),
    inference(rat,[],[s5016,s5688]) ).

cnf(s7765,plain,
    ( ~ spl0_99
    | ~ spl0_145
    | ~ spl0_524
    | ~ spl0_44
    | ~ spl0_11
    | ~ spl0_31
    | spl0_200
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s1330,s464,s5249,s5718,s6244]) ).

cnf(s7766,plain,
    ( ~ spl0_306
    | ~ spl0_544
    | ~ spl0_371
    | spl0_23
    | ~ spl0_313
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4821,s142,s4810,s4850,s6969,s4271,s4234,s6221,s2737,s4936,s4453,s131,s7765,s307,s6934,s7006,s7380,s3769,s5805,s2151,s5700,s6931,s6114,s3718,s3276,s6957,s7764,s5901,s6955,s3585,s2106,s6113,s1649,s2122,s6507,s5949,s3587,s2718,s342,s5018,s2444,s4076,s4146,s6446,s6960,s67,s22,s2900,s1910,s5242,s6964,s2219]) ).

cnf(s7767,plain,
    ( spl0_11
    | ~ spl0_393
    | spl0_466
    | spl0_31
    | ~ spl0_421
    | spl0_618
    | spl0_192
    | ~ spl0_195
    | ~ spl0_383
    | ~ spl0_371 ),
    inference(rat,[],[s4828,s2151,s4961,s5712,s6855,s7380,s3806,s3334,s7382,s6747,s5221,s6467,s2524]) ).

cnf(s7768,plain,
    ( ~ spl0_364
    | ~ spl0_323
    | ~ spl0_393
    | ~ spl0_37
    | spl0_466
    | ~ spl0_421
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s4961,s7723,s6855]) ).

cnf(s7769,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | spl0_377
    | ~ spl0_37
    | spl0_466
    | ~ spl0_421
    | ~ spl0_195
    | ~ spl0_383
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_9
    | spl0_620
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s6181,s3334,s5290,s3806,s4685,s7380,s7768,s7759,s7383]) ).

cnf(s7770,plain,
    ( ~ spl0_365
    | ~ spl0_371
    | spl0_23
    | ~ spl0_313
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6552,s6855,s3806,s5712,s6173,s2151,s7769,s7767,s7383,s5981,s4146,s2524,s3276,s342,s6957,s6507,s1202,s1353,s7337,s7766,s6197,s1910,s5242,s5370,s7663,s37,s5802,s5434,s6964,s2219,s67,s22]) ).

cnf(s7771,plain,
    ( ~ spl0_306
    | ~ spl0_366
    | ~ spl0_371
    | spl0_23
    | spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s3551,s5982,s2952,s5733,s7191,s7001,s1835,s5700,s7700,s6114,s7749,s7380,s3718,s4866,s6957,s7764,s6955,s3585,s2106,s1649,s6507,s2408,s4221,s342,s5018,s4076,s4146,s6446,s3984,s37,s6960,s6964,s2219,s22,s2900,s4686]) ).

cnf(s7772,plain,
    ( ~ spl0_363
    | ~ spl0_360
    | spl0_11
    | spl0_484
    | spl0_466 ),
    inference(rat,[],[s6467,s1835,s4868,s5050]) ).

cnf(s7773,plain,
    ( ~ spl0_360
    | spl0_619
    | spl0_195
    | spl0_11
    | spl0_466
    | ~ spl0_302
    | spl0_306
    | ~ spl0_366
    | ~ spl0_63
    | ~ spl0_428 ),
    inference(rat,[],[s3887,s7382,s5288,s4238,s6455,s7380,s7772,s3580]) ).

cnf(s7774,plain,
    ( ~ spl0_348
    | spl0_466
    | spl0_31
    | ~ spl0_421
    | ~ spl0_196
    | spl0_206 ),
    inference(rat,[],[s2012,s2721,s6961,s2122,s7681,s7525,s6955,s5712,s5141]) ).

cnf(s7775,plain,
    ( spl0_11
    | ~ spl0_323
    | spl0_466
    | ~ spl0_302
    | spl0_306
    | spl0_386
    | ~ spl0_366
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s7773,s6230,s4828,s7755]) ).

cnf(s7776,plain,
    ( spl0_223
    | spl0_195
    | spl0_47
    | spl0_31
    | spl0_386
    | spl0_370
    | ~ spl0_443
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14 ),
    inference(rat,[],[s1796,s3154,s1727,s5630,s2721,s6333,s2122,s7381,s7760,s6184,s6200,s1835,s2952]) ).

cnf(s7777,plain,
    ( spl0_360
    | spl0_377
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_366
    | ~ spl0_63
    | ~ spl0_443
    | ~ spl0_9
    | spl0_620
    | spl0_346 ),
    inference(rat,[],[s5700,s6114,s3436,s6955,s6365,s7382,s6181,s7380,s7723,s5290,s6960]) ).

cnf(s7778,plain,
    ( spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3561,s3158,s3436,s7381,s6955,s5053,s6365,s7382,s2309,s4868,s5050,s7380,s3016,s7777,s5981,s5733,s7776,s7759,s7775,s2151,s7774,s4146,s3580,s3276,s342,s6957,s6507,s1202,s1353,s7337,s7771,s4686,s7378,s7770,s7763,s22,s67,s7762,s1688,s3984,s37,s6960,s5802,s5434,s6964,s2219]) ).

cnf(s7779,plain,
    ( ~ spl0_323
    | ~ spl0_31
    | spl0_360
    | spl0_327
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_305
    | spl0_315
    | ~ spl0_196
    | ~ spl0_9
    | spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s6592,s7764,s5222,s6957,s7378,s7708,s7699,s7380,s1835,s7723,s6810,s6960,s6964,s2219]) ).

cnf(s7780,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | ~ spl0_23
    | ~ spl0_305
    | ~ spl0_306
    | ~ spl0_370
    | ~ spl0_196
    | spl0_387
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4195,s6032,s7378,s4122,s5733,s7702,s7779,s4146,s6446,s7745,s6453,s2104,s3984,s37,s6960,s6964,s2219,s5573,s5077]) ).

cnf(s7781,plain,
    ( ~ spl0_23
    | ~ spl0_306
    | ~ spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5697,s2214,s5894,s6955,s5141,s2151,s7003,s1690,s7780,s5077,s7706,s4144,s37,s6964,s1208,s7701,s2219,s5785,s6960]) ).

cnf(s7782,plain,
    ( spl0_371
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_201
    | ~ spl0_622
    | ~ spl0_570
    | spl0_346 ),
    inference(rat,[],[s5697,s2214,s5894,s6955,s5100,s5144,s7003,s7146,s1690,s6960]) ).

cnf(s7783,plain,
    ( ~ spl0_306
    | ~ spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s342,s6507,s4146,s22,s1649,s6446,s7781,s7701,s37,s6960,s5785,s7782,s6964,s2219,s1653]) ).

cnf(s7784,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | ~ spl0_23
    | spl0_360
    | spl0_306
    | spl0_327
    | spl0_315
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5981,s1798,s5733,s6691,s1835,s7378,s7708,s4866,s6957,s6724,s1208,s5617,s7380,s4146,s7723,s5176,s3984,s37,s6964,s2219,s7337]) ).

cnf(s7785,plain,
    ( ~ spl0_23
    | spl0_306
    | ~ spl0_371
    | ~ spl0_370
    | ~ spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5242,s2444,s4195,s5981,s1208,s6205,s5949,s2002,s7774,s5120,s3276,s6032,s6957,s7378,s7764,s4122,s6955,s5733,s2611,s7705,s6173,s2151,s7784,s7706,s3984,s6960,s6964,s3599,s2219,s2104,s7337,s7649,s6962,s5573,s4144,s37]) ).

cnf(s7786,plain,
    ( ~ spl0_196
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5242,s6197,s4195,s7620,s6032,s7378,s4866,s7380,s7723,s2151,s7774,s3276,s6957,s6396,s1208,s5617,s4146,s342,s5290,s22,s67,s7785,s6507,s7649,s1353,s7337,s7783,s2104,s7782,s6962,s5573,s7778,s6964,s2219,s5802,s1653,s4144,s7744,s37]) ).

cnf(s7787,plain,
    ( ~ spl0_323
    | ~ spl0_305
    | spl0_360
    | spl0_327
    | spl0_493
    | ~ spl0_306
    | spl0_315
    | ~ spl0_345
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s6691,s7378,s7383,s5222,s3904,s6956,s7380,s7506,s7723]) ).

cnf(s7788,plain,
    ( ~ spl0_544
    | ~ spl0_38
    | ~ spl0_429
    | ~ spl0_345 ),
    inference(rat,[],[s3011,s3587,s3584]) ).

cnf(s7789,plain,
    ( ~ spl0_365
    | spl0_544
    | ~ spl0_305
    | spl0_315 ),
    inference(rat,[],[s4195,s6032]) ).

cnf(s7790,plain,
    ( ~ spl0_99
    | ~ spl0_145
    | spl0_11
    | ~ spl0_524
    | ~ spl0_319 ),
    inference(rat,[],[s2732,s5249,s186]) ).

cnf(s7791,plain,
    ( spl0_11
    | ~ spl0_443
    | ~ spl0_361
    | ~ spl0_414
    | spl0_223
    | ~ spl0_319
    | ~ spl0_304
    | ~ spl0_348
    | spl0_309
    | spl0_360
    | spl0_466
    | ~ spl0_47
    | ~ spl0_371
    | ~ spl0_345
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s4262,s142,s3081,s4850,s6969,s6872,s4936,s4453,s131,s7790,s307,s6848,s5700,s6114]) ).

cnf(s7792,plain,
    ( ~ spl0_99
    | ~ spl0_11
    | ~ spl0_304
    | spl0_360
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7443,s6872,s6900,s464,s5945,s5718,s6244,s2900,s4146,s6446]) ).

cnf(s7793,plain,
    ( ~ spl0_23
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_370
    | ~ spl0_345
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4262,s142,s3081,s4850,s6969,s307,s6872,s7676,s4936,s4453,s131,s7792,s7791,s6964,s3953,s5633,s7382,s2952,s6181,s5305,s5289,s5703,s7383,s4070,s7700,s6258,s1835,s2096,s3432,s7380,s5733,s1724,s4866,s4122,s7378,s7789,s7788,s6201,s6957,s6101,s6955,s5141,s5661,s2151,s7787,s1208,s6889,s5609,s6453,s5077,s3984,s6960,s1653,s5785,s6962,s5573,s4144,s2900,s2104,s4146,s6446,s37]) ).

cnf(s7794,plain,
    ( spl0_360
    | ~ spl0_323
    | spl0_327
    | spl0_493
    | ~ spl0_306
    | spl0_315
    | spl0_320
    | ~ spl0_345
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s1208,s6889,s7787,s5609]) ).

cnf(s7795,plain,
    ( ~ spl0_365
    | ~ spl0_360
    | ~ spl0_193
    | ~ spl0_44
    | spl0_399
    | spl0_493
    | ~ spl0_306
    | spl0_315
    | spl0_320
    | ~ spl0_345
    | ~ spl0_201
    | ~ spl0_246 ),
    inference(rat,[],[s4726,s3584,s6108,s7789,s1649,s1208,s6889,s5409,s7380,s4685,s6238,s7381,s3577,s605]) ).

cnf(s7796,plain,
    ( ~ spl0_363
    | ~ spl0_305
    | ~ spl0_360
    | ~ spl0_193
    | ~ spl0_58
    | spl0_493
    | ~ spl0_306
    | spl0_206 ),
    inference(rat,[],[s6550,s6200,s4323,s4685,s3904]) ).

cnf(s7797,plain,
    ( ~ spl0_99
    | ~ spl0_323
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_306 ),
    inference(rat,[],[s3813,s3951,s4785,s6244,s7358,s2935]) ).

cnf(s7798,plain,
    ( spl0_420
    | ~ spl0_301
    | ~ spl0_200
    | ~ spl0_304
    | spl0_206
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s6065,s142,s6103,s6509,s2396,s4528,s6406,s6543,s6960,s6101]) ).

cnf(s7799,plain,
    ( ~ spl0_301
    | ~ spl0_364
    | ~ spl0_200
    | ~ spl0_100
    | ~ spl0_145
    | ~ spl0_304
    | ~ spl0_381
    | ~ spl0_360
    | spl0_223
    | spl0_206
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s4233,s5151,s6405,s7389,s5854,s4650,s2653,s7798]) ).

cnf(s7800,plain,
    ( ~ spl0_324
    | ~ spl0_361
    | ~ spl0_414
    | spl0_122
    | ~ spl0_100
    | ~ spl0_145
    | spl0_223
    | ~ spl0_371 ),
    inference(rat,[],[s6649,s4262,s4850,s3081]) ).

cnf(s7801,plain,
    ( spl0_309
    | spl0_122
    | ~ spl0_100
    | ~ spl0_145
    | ~ spl0_381
    | ~ spl0_366
    | ~ spl0_360
    | spl0_223
    | ~ spl0_44
    | ~ spl0_58
    | ~ spl0_63
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_370
    | spl0_206
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_25
    | spl0_346 ),
    inference(rat,[],[s113,s175,s324,s142,s6226,s4262,s7389,s171,s4650,s5945,s2653,s6221,s4235,s4247,s6969,s7800,s7382,s4238,s2096,s7380,s7796,s2952,s7691,s1649,s1208,s6960,s2900,s1835]) ).

cnf(s7802,plain,
    ( ~ spl0_323
    | ~ spl0_58
    | ~ spl0_11
    | ~ spl0_63
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_370
    | spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s4253,s7381,s5606,s6231,s6200,s5292,s4685,s171,s7380,s5945,s6829,s7799,s7798,s6468,s6957,s681,s2645,s6903,s7801,s4453,s131,s7797,s307,s6899,s6955,s3271,s1724,s6149,s4122,s7378,s7795,s7794,s1835,s6810,s3984,s6960,s1653,s5127,s5785,s5573,s4144,s2900,s2104,s4146,s6446,s37,s3866,s6507]) ).

cnf(s7803,plain,
    ( spl0_360
    | ~ spl0_304
    | ~ spl0_63
    | ~ spl0_31
    | spl0_493
    | ~ spl0_306
    | spl0_320
    | ~ spl0_345 ),
    inference(rat,[],[s5528,s5752,s6889,s6114,s5609]) ).

cnf(s7804,plain,
    ( ~ spl0_365
    | ~ spl0_319
    | ~ spl0_305
    | spl0_399
    | spl0_315
    | ~ spl0_345 ),
    inference(rat,[],[s4726,s3584,s7381,s7789,s3577]) ).

cnf(s7806,plain,
    ( ~ spl0_99
    | ~ spl0_364
    | ~ spl0_436
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_20
    | ~ spl0_14
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4247,s4235,s6969,s6221,s6900,s464,s5945,s5718,s6244,s6960,s2900,s4146,s6446]) ).

cnf(s7807,plain,
    ( spl0_309
    | ~ spl0_360
    | ~ spl0_145
    | ~ spl0_44
    | ~ spl0_58
    | spl0_399
    | ~ spl0_11
    | ~ spl0_63
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_370
    | ~ spl0_345
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7801,s4453,s131,s7806,s7380,s7796,s1835,s2952,s5733,s1724,s7625,s4122,s7378,s7804,s6468,s6108,s681,s1649,s1208,s3984,s1653,s5573,s4144,s37,s2900]) ).

cnf(s7808,plain,
    ( ~ spl0_371
    | ~ spl0_306
    | ~ spl0_370
    | spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4399,s5058,s319,s272,s5368,s5000,s4964,s4935,s4930,s131,s6244,s5945,s2653,s7798,s6957,s6400,s2645,s6889,s6903,s7807,s7803,s307,s6899,s6955,s2611,s6173,s7802,s6507,s342,s3866,s5018,s22,s67,s7793,s4146,s6446,s2900,s6960,s5127,s5785,s6962,s5573,s4144,s37]) ).

cnf(s7809,plain,
    ( ~ spl0_23
    | spl0_323
    | ~ spl0_360
    | ~ spl0_308
    | ~ spl0_306
    | spl0_315
    | ~ spl0_370
    | spl0_196
    | spl0_387
    | spl0_206
    | ~ spl0_14
    | spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s6552,s5520,s4866,s4122,s7378,s7524,s2509,s6957,s5697,s5004,s2214,s5894,s7006,s6955,s7788,s2680,s5141,s5661,s5077,s6960,s5127,s6962,s2151,s5144,s1653]) ).

cnf(s7810,plain,
    ( spl0_383
    | spl0_323
    | spl0_371
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s1835,s7687,s5733]) ).

cnf(s7811,plain,
    ( ~ spl0_319
    | ~ spl0_451
    | ~ spl0_365
    | ~ spl0_383
    | spl0_399
    | ~ spl0_360
    | ~ spl0_306
    | spl0_315
    | spl0_320
    | ~ spl0_345
    | ~ spl0_239
    | ~ spl0_20 ),
    inference(rat,[],[s6552,s5409,s4685,s6101,s6238,s6957,s7191,s2645,s5982,s6961,s7804,s6955,s3271,s7381,s3577]) ).

cnf(s7812,plain,
    ( ~ spl0_31
    | ~ spl0_365
    | ~ spl0_383
    | spl0_23
    | ~ spl0_360
    | ~ spl0_306
    | spl0_315
    | spl0_320
    | spl0_196
    | ~ spl0_201
    | ~ spl0_20
    | ~ spl0_62
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3545,s5982,s5754,s1649,s5631,s6402,s7811,s6507,s4221,s342,s5018,s605,s5127,s22,s7381,s3577,s3866,s67]) ).

cnf(s7813,plain,
    ( ~ spl0_306
    | spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7789,s1208,s7788,s5617,s1241,s4146,s7812,s7378,s4122,s7810,s7809,s7003,s7146,s1690,s7808,s3984,s1653,s5127,s5785,s6962,s5573,s7147,s4144,s37]) ).

cnf(s7814,plain,
    ( spl0_360
    | ~ spl0_323
    | ~ spl0_23
    | spl0_327
    | spl0_306
    | spl0_315
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_9
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s6464,s1798,s3587,s3584,s6691,s7789,s1208,s5617,s7378,s4146,s2524,s5222,s5176,s6956,s7380,s4828,s7506,s7723,s6962]) ).

cnf(s7815,plain,
    ( ~ spl0_365
    | spl0_544
    | spl0_399
    | ~ spl0_303
    | ~ spl0_569
    | spl0_386
    | ~ spl0_323
    | ~ spl0_371
    | ~ spl0_370
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5113,s7380,s7382,s2675,s5982,s5902,s2880,s5733,s4146,s1835,s5617,s6200,s6961,s7381,s7789,s3577,s5573,s4144]) ).

cnf(s7816,plain,
    ( ~ spl0_323
    | ~ spl0_23
    | ~ spl0_371
    | spl0_306
    | ~ spl0_370
    | ~ spl0_345
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5733,s6149,s4122,s7378,s7815,s7722,s3599,s6964,s6402,s3271,s6956,s7525,s7006,s4954,s6847,s7814,s1653,s6962,s5573,s4144,s37,s7337,s2900,s2104]) ).

cnf(s7817,plain,
    ( ~ spl0_365
    | ~ spl0_305
    | ~ spl0_23
    | spl0_315
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s5733,s3073,s6235,s5428,s1798,s7788,s3587,s3584,s6691,s7789,s6962]) ).

cnf(s7818,plain,
    ( spl0_99
    | spl0_339
    | ~ spl0_145
    | ~ spl0_361
    | ~ spl0_414
    | spl0_223
    | spl0_360
    | ~ spl0_418
    | ~ spl0_304
    | spl0_323
    | ~ spl0_371
    | spl0_315
    | ~ spl0_345
    | ~ spl0_10 ),
    inference(rat,[],[s7494,s5000,s5616,s6872,s5368,s6969,s7800,s4930,s4453,s131]) ).

cnf(s7819,plain,
    ( ~ spl0_195
    | ~ spl0_368
    | ~ spl0_361
    | ~ spl0_414
    | spl0_223
    | ~ spl0_366
    | ~ spl0_319
    | spl0_360
    | ~ spl0_302
    | spl0_323
    | ~ spl0_371
    | ~ spl0_421
    | spl0_315
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s272,s6239,s2732,s4125,s5249,s7818,s2889,s307,s5700,s7561,s6964,s5633,s6257,s7525,s6962,s6114,s6109,s5894,s6955,s2611,s6173,s3494,s1870,s4726,s6258,s7380,s4866,s2104]) ).

cnf(s7820,plain,
    ( ~ spl0_23
    | ~ spl0_371
    | spl0_306
    | ~ spl0_370
    | ~ spl0_345
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5448,s272,s4810,s3002,s3635,s112,s369,s2082,s5718,s131,s7678,s5712,s6461,s4146,s5703,s5305,s5327,s2952,s7819,s7381,s6682,s5221,s5662,s7382,s6181,s5289,s7383,s4070,s2096,s7700,s6258,s6455,s1835,s3432,s7380,s5733,s1724,s4866,s4122,s7378,s7817,s1208,s5752,s2002,s6114,s6201,s4954,s6957,s7525,s5014,s6955,s2611,s6173,s2151,s7816,s3984,s6960,s1653,s6962,s5573,s4144,s37,s7337,s2900,s2104]) ).

cnf(s7821,plain,
    ( spl0_360
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_371
    | spl0_315
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s7722,s6964,s7789,s3920,s7378,s2611,s5222,s6956,s7380,s7506,s7723,s2104]) ).

cnf(s7822,plain,
    ( ~ spl0_365
    | ~ spl0_305
    | spl0_399
    | spl0_315
    | ~ spl0_345
    | ~ spl0_201
    | ~ spl0_9
    | spl0_4 ),
    inference(rat,[],[s7308,s6402,s7722,s7804,s7789]) ).

cnf(s7823,plain,
    ( ~ spl0_371
    | spl0_306
    | ~ spl0_370
    | spl0_196
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s2151,s4072,s7723,s3755,s6725,s7382,s5288,s4238,s6230,s7691,s5631,s5754,s7525,s5892,s6455,s6149,s6955,s7380,s5733,s1724,s7742,s4866,s4122,s7378,s7822,s6957,s6724,s1208,s5617,s4146,s2524,s342,s3866,s22,s67,s7820,s2104,s6960,s1653,s5127,s6962,s5573,s4144,s37,s7337,s6507,s1353]) ).

cnf(s7824,plain,
    ( ~ spl0_23
    | ~ spl0_365
    | spl0_323
    | ~ spl0_360
    | spl0_371
    | ~ spl0_421
    | spl0_315
    | ~ spl0_345
    | spl0_206
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_62
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5707,s6099,s5433,s6957,s6964,s6201,s6402,s2680,s2002,s5644,s6961,s7817,s1653]) ).

cnf(s7825,plain,
    ( ~ spl0_20
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_25
    | ~ spl0_62
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5617,s6961,s4146,s7822,s342,s3866,s22,s67,s7824,s7378,s4122,s7810,s7003,s7146,s7823,s6507,s1353,s7337,s7813,s5573,s7147,s5127,s7786,s4144,s1653,s7744,s37]) ).

cnf(s7826,plain,
    ( ~ spl0_484
    | ~ spl0_365
    | ~ spl0_371
    | spl0_200
    | ~ spl0_306
    | ~ spl0_32
    | ~ spl0_62 ),
    inference(rat,[],[s2510,s2586,s1724,s2879,s2880]) ).

cnf(s7828,plain,
    ( spl0_323
    | spl0_315
    | spl0_319
    | ~ spl0_371
    | spl0_200
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_32
    | ~ spl0_10 ),
    inference(rat,[],[s5026,s6955,s6957,s2611,s5120,s6173]) ).

cnf(s7829,plain,
    ( ~ spl0_196
    | ~ spl0_206
    | ~ spl0_44
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s2675,s7381,s7826,s3579,s7378,s4866,s7243,s6957,s3041,s3021,s7380,s4828,s7723,s7828,s3780,s2106,s2002,s7146,s1649,s7639,s2219,s5077,s1353,s4489]) ).

cnf(s7830,plain,
    ( ~ spl0_365
    | spl0_196
    | ~ spl0_206
    | spl0_466
    | ~ spl0_34
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s6552,s5506,s5805,s4209,s2151,s2586,s2952,s7671,s2294,s1910,s2509,s1835,s3584,s7722,s3017,s6919,s5127,s5126]) ).

cnf(s7831,plain,
    ( spl0_383
    | ~ spl0_193
    | ~ spl0_364
    | spl0_418
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_62
    | spl0_346 ),
    inference(rat,[],[s6143,s4070,s2718,s2586,s4228,s2096,s3060,s1724,s6198]) ).

cnf(s7832,plain,
    ( ~ spl0_99
    | ~ spl0_323
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s2082,s4810,s5718,s7358,s7362,s4489,s6957,s3021]) ).

cnf(s7833,plain,
    ( ~ spl0_323
    | spl0_327
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_44
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4650,s6331,s2593,s5610,s171,s2908,s3472,s307,s319,s2803,s2479,s5518,s4258,s4263,s5281,s6543,s4972,s131,s7832,s5221,s6682,s5618,s7383,s6356,s4070,s7381,s6307,s7382,s6261,s5999,s538,s4124,s7540,s4122,s7831,s1835,s6962,s7723,s3016,s3605,s7380,s3706,s3734,s4866,s2645,s6956,s6957,s1649,s3041,s3021,s7671,s6960,s5077,s1353,s4489]) ).

cnf(s7834,plain,
    ( spl0_383
    | ~ spl0_364
    | spl0_418
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_62
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s1835,s7831,s5733]) ).

cnf(s7835,plain,
    ( ~ spl0_371
    | spl0_196
    | ~ spl0_206
    | ~ spl0_44
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7700,s1835,s4070,s1798,s4433,s6183,s4432,s7381,s3502,s1870,s5999,s1910,s4238,s7382,s4124,s4122,s7834,s7380,s4866,s6106,s6957,s5893,s7601,s6955,s5609,s2611,s4072,s6497,s6173,s2151,s7833,s2104,s3984,s37,s6960,s4489,s5127,s5126,s7378,s7830,s5077,s1353]) ).

cnf(s7836,plain,
    ( spl0_371
    | ~ spl0_306
    | ~ spl0_34
    | ~ spl0_622
    | ~ spl0_570 ),
    inference(rat,[],[s2151,s6497,s7003,s7146]) ).

cnf(s7837,plain,
    ( ~ spl0_206
    | ~ spl0_371
    | ~ spl0_44
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7835,s7829,s37]) ).

cnf(s7838,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | ~ spl0_44
    | ~ spl0_34
    | ~ spl0_9 ),
    inference(rat,[],[s1649,s5741,s2219]) ).

cnf(s7839,plain,
    ( ~ spl0_392
    | ~ spl0_493
    | spl0_386
    | spl0_348
    | ~ spl0_11
    | ~ spl0_37 ),
    inference(rat,[],[s2309,s7382,s6143,s5051]) ).

cnf(s7840,plain,
    ( ~ spl0_200
    | spl0_348
    | ~ spl0_417
    | ~ spl0_303
    | ~ spl0_363
    | ~ spl0_11
    | ~ spl0_365
    | ~ spl0_323
    | spl0_327
    | spl0_196
    | ~ spl0_201
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_428
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3587,s7524,s6962,s2670,s3933,s5203,s4970,s7839,s4252,s7381,s2675,s7759,s2879,s3904,s4070,s1798,s2423,s2002,s6957,s6108,s3920,s3984]) ).

cnf(s7841,plain,
    ( spl0_360
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_370
    | spl0_196
    | spl0_206
    | ~ spl0_371
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3579,s7381,s2714,s2675,s2002,s7826,s1649,s7840,s5141,s2611,s6956,s7380,s4828,s7506,s7723,s6960,s5077,s1353,s6507,s1653,s5127,s2104]) ).

cnf(s7842,plain,
    ( ~ spl0_302
    | spl0_544
    | ~ spl0_360
    | ~ spl0_365
    | spl0_320
    | ~ spl0_306
    | ~ spl0_23 ),
    inference(rat,[],[s7454,s7789,s2645,s3618]) ).

cnf(s7843,plain,
    ( ~ spl0_363
    | spl0_418
    | spl0_348
    | ~ spl0_360
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_345
    | spl0_320
    | ~ spl0_371
    | ~ spl0_306
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s2675,s4252,s6956,s4970,s6510,s5203,s6957,s7842,s4476,s7382,s3584,s2309,s7759,s4868,s7772,s2880,s5733,s1835,s5050,s4685,s6960,s5077,s7006]) ).

cnf(s7844,plain,
    ( ~ spl0_302
    | ~ spl0_360
    | ~ spl0_365
    | ~ spl0_345
    | spl0_320
    | ~ spl0_306
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_23 ),
    inference(rat,[],[s6464,s1798,s3587,s3584,s2423,s6962,s7842,s2645,s3618]) ).

cnf(s7845,plain,
    ( ~ spl0_99
    | spl0_11
    | ~ spl0_443
    | ~ spl0_486
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s3643,s5035,s4849,s307,s3810,s162,s186,s5718]) ).

cnf(s7846,plain,
    ( spl0_99
    | ~ spl0_609
    | spl0_544
    | spl0_319
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_442
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_201
    | spl0_466 ),
    inference(rat,[],[s5395,s2024,s2175,s4499,s3127,s6031,s7316,s4972,s6119,s131]) ).

cnf(s7847,plain,
    ( ~ spl0_365
    | ~ spl0_323
    | ~ spl0_370
    | spl0_320
    | spl0_206
    | ~ spl0_371
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4850,s2384,s7358,s4263,s7845,s5718,s5282,s7846,s6232,s2689,s1870,s7382,s1910,s5902,s2952,s7381,s5220,s7722,s3579,s6964,s2714,s6402,s3271,s6956,s6101,s5745,s5739,s6957,s7844,s3442,s7834,s5409,s7380,s7843,s4961,s6497,s7841,s5847,s5077,s1353,s5127,s7838,s1653,s6507]) ).

cnf(s7848,plain,
    ( spl0_360
    | ~ spl0_366
    | ~ spl0_323
    | spl0_327
    | ~ spl0_345
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s5222,s6956,s7380,s7506,s7723]) ).

cnf(s7849,plain,
    ( ~ spl0_323
    | ~ spl0_370
    | spl0_320
    | spl0_206
    | ~ spl0_371
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_58
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_62
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6552,s7834,s5050,s4961,s7848,s1835,s5733,s4122,s7378,s7847,s5077,s1353,s4144,s37,s5127,s7838,s1653,s6507,s2104]) ).

cnf(s7850,plain,
    ( spl0_24
    | spl0_346
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6552,s7834,s4866,s4122,s7378,s7789,s7788,s6962,s6062,s6957,s1208,s6101,s6889,s6955,s5609,s5141,s4072,s6497,s3204,s5661,s2151,s7849,s2104,s7147,s5127,s7838,s1997,s4144,s1653,s7837,s7836,s5077,s1353,s6507,s6461,s2524,s203,s5978,s7148,s6659,s7825,s5507,s6139,s10,s7670,s7667,s19,s65,s15,s37,s7617]) ).

cnf(s7851,plain,
    ( spl0_11
    | spl0_9
    | ~ spl0_371
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s7618,s6687,s1]) ).

cnf(s7852,plain,
    ( spl0_9
    | ~ spl0_371
    | ~ spl0_13
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6823,s6810,s6498,s6821,s6790,s7851,s5746,s6,s1,s37,s7617]) ).

cnf(s7853,plain,
    ( ~ spl0_13
    | spl0_346
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s4124,s7382,s6957,s6839,s6836,s6173,s7540,s4144,s1760,s7378,s7570,s7569,s7383,s3500,s7337,s1208,s1786,s3508,s5635,s6264,s2108,s5242,s7568,s4146,s2524,s1982,s6964,s67,s7499,s6863,s7555,s24,s7852,s2154,s15,s3984,s37,s6960,s7850]) ).

cnf(s7854,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_323
    | ~ spl0_23
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s7698,s6791,s5978,s4489]) ).

cnf(s7855,plain,
    ( ~ spl0_196
    | ~ spl0_206
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7709,s6964,s4828,s7642,s7649,s1208,s3508,s5635,s4146,s7854,s6962,s2535,s4506,s1679,s5746,s37,s4489]) ).

cnf(s7856,plain,
    ( ~ spl0_223
    | ~ spl0_302
    | ~ spl0_11
    | spl0_327
    | ~ spl0_206
    | ~ spl0_323 ),
    inference(rat,[],[s4866,s7380,s7378,s3016,s3017]) ).

cnf(s7857,plain,
    ( ~ spl0_206
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3922,s5516,s7381,s6228,s7378,s6919,s5242,s3334,s7382,s6747,s2718,s7383,s3011,s2294,s4385,s1835,s7856,s7337,s1208,s2611,s3508,s5635,s6264,s6956,s6461,s4146,s2524,s6964,s7283,s3041,s6791,s7671,s5126,s7855,s605,s2104,s5204,s4489,s3984,s5746,s5639,s37]) ).

cnf(s7858,plain,
    ( ~ spl0_306
    | ~ spl0_223
    | spl0_370
    | spl0_206
    | ~ spl0_323
    | ~ spl0_371
    | ~ spl0_8
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s9,s7662,s6810,s5978,s4146,s5641]) ).

cnf(s7859,plain,
    ( ~ spl0_31
    | spl0_306
    | ~ spl0_223
    | ~ spl0_323
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_14
    | ~ spl0_279
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s5113,s7380,s4480,s2197,s7006,s4868,s3073,s5523,s4954,s6467,s4828,s2900,s5176,s5978,s2880,s5733]) ).

cnf(s7860,plain,
    ( spl0_11
    | spl0_466
    | ~ spl0_393
    | ~ spl0_37
    | ~ spl0_421
    | spl0_484
    | ~ spl0_323 ),
    inference(rat,[],[s6855,s7380,s4961,s7772,s4828]) ).

cnf(s7861,plain,
    ( ~ spl0_371
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5175,s7525,s6682,s6955,s7381,s6365,s2105,s4866,s7382,s7380,s2309,s3016,s7860,s3276,s6957,s7378,s6724,s6691,s1208,s7383,s5741,s3500,s6461,s4146,s2524,s7859,s7337,s7858,s1308,s2880,s4135,s6962,s5733,s2535,s7646,s4506,s4708,s7147,s1688,s5622,s1653,s7857,s5639,s5746,s37,s1679]) ).

cnf(s7862,plain,
    ( ~ spl0_306
    | ~ spl0_206
    | spl0_315
    | ~ spl0_196
    | spl0_371
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_428
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7454,s7633,s7701,s7378,s5785,s7637,s7638,s5978,s2428,s6461,s6477,s7836,s7654,s7003,s3841,s7190,s605,s5204,s4489]) ).

cnf(s7863,plain,
    ( ~ spl0_206
    | ~ spl0_196
    | spl0_371
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_428
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3970,s4505,s7381,s5095,s4644,s2197,s3073,s5523,s6467,s7378,s6182,s4122,s4146,s2052,s5635,s6961,s6724,s6957,s5120,s3271,s6956,s7525,s7337,s7862,s4489,s7810,s7654,s7003,s3770,s4787,s7146,s6962,s2535,s4506,s1679]) ).

cnf(s7864,plain,
    ( ~ spl0_196
    | spl0_371
    | ~ spl0_19
    | ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_428
    | ~ spl0_10 ),
    inference(rat,[],[s7763,s5622,s7863]) ).

cnf(s7865,plain,
    ( ~ spl0_23
    | ~ spl0_8
    | spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5739,s3625,s6957,s7382,s3580,s2105,s2675,s5222,s7380,s6956,s6855,s7681,s5220,s6964,s7337,s7383,s1208,s2952,s3953,s7836,s3500,s5635,s5999,s5640,s4122,s6461,s4146,s7227,s7378,s5978,s605,s3017,s7655,s5204,s5622,s9,s7147,s4832,s7864,s1308,s4135,s3770,s7654,s7810,s4787,s7003,s7146,s7861,s37,s6960,s1679]) ).

cnf(s7866,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_8
    | spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_10 ),
    inference(rat,[],[s4708,s7646,s7147,s1688,s5622,s6810,s6791]) ).

cnf(s7867,plain,
    ( spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4183,s3921,s6205,s5949,s7654,s7810,s5746,s7866,s9,s6498,s7148,s3812,s7865,s6,s37]) ).

cnf(s7868,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | ~ spl0_206
    | spl0_23 ),
    inference(rat,[],[s6791,s5018]) ).

cnf(s7869,plain,
    ( ~ spl0_323
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_24
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s5242,s7789,s7610,s7378,s4866,s7380,s4828,s7723,s6957,s7649,s6724,s6962,s7337,s1208,s2721,s3508,s5635,s6264,s280,s4146,s2524,s7868,s3984,s37,s24,s6964,s2219,s2104]) ).

cnf(s7870,plain,
    ( ~ spl0_31
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_20
    | spl0_23
    | ~ spl0_24
    | ~ spl0_10 ),
    inference(rat,[],[s5573,s6182,s6949,s5018]) ).

cnf(s7871,plain,
    ( ~ spl0_206
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7681,s7337,s1208,s3508,s5635,s5712,s4146,s7870,s3276,s6957,s7764,s6955,s2611,s6173,s2151,s7869,s4489,s37,s6960,s24,s2219]) ).

cnf(s7872,plain,
    ( ~ spl0_365
    | spl0_417
    | ~ spl0_306
    | ~ spl0_323
    | ~ spl0_313
    | ~ spl0_58
    | ~ spl0_196
    | spl0_493
    | ~ spl0_371
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | spl0_346 ),
    inference(rat,[],[s6101,s6955,s6957,s3734,s3718,s2423,s5409,s7723,s7383,s7380,s4260,s3806,s5242,s5370,s7663,s6964,s2219]) ).

cnf(s7873,plain,
    ( ~ spl0_323
    | spl0_370
    | ~ spl0_31
    | spl0_206
    | ~ spl0_196
    | spl0_493
    | ~ spl0_371
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s3561,s3436,s3158,s6955,s7381,s3271,s7749,s6238,s6261,s4199,s4865,s4686,s7378,s7872,s1835,s2081,s6810,s5176,s6960,s6964,s2219,s4708,s605,s1653,s5018,s342,s22,s24,s1688]) ).

cnf(s7874,plain,
    ( ~ spl0_365
    | ~ spl0_306
    | spl0_417
    | ~ spl0_313
    | ~ spl0_58
    | ~ spl0_31
    | ~ spl0_196
    | spl0_493
    | ~ spl0_371
    | ~ spl0_35
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_428 ),
    inference(rat,[],[s3494,s6258,s3718,s6957,s7764,s6955,s3734,s2423,s6202,s7383,s1870,s7380,s4260,s1910,s3806,s5242,s5370,s7663,s6964,s2219]) ).

cnf(s7875,plain,
    ( spl0_193
    | spl0_37
    | ~ spl0_451
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_19 ),
    inference(rat,[],[s4183,s3921,s5733,s7312,s7191,s1835]) ).

cnf(s7876,plain,
    ( ~ spl0_306
    | spl0_323
    | spl0_370
    | ~ spl0_31
    | ~ spl0_239
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_428
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7391,s5510,s3806,s7381,s7380,s6238,s7700,s7875,s4686,s7378,s7874,s4076,s5641,s3984,s67,s2900,s4221,s5018,s342,s22,s24,s1688,s6173,s37]) ).

cnf(s7877,plain,
    ( ~ spl0_365
    | spl0_306
    | spl0_417
    | ~ spl0_313
    | ~ spl0_58
    | spl0_200
    | ~ spl0_371
    | ~ spl0_35
    | ~ spl0_14 ),
    inference(rat,[],[s3059,s7383,s7380,s4260,s3806,s5242,s5370,s7663,s6964]) ).

cnf(s7878,plain,
    ( ~ spl0_364
    | spl0_386
    | spl0_306
    | spl0_323
    | ~ spl0_58
    | ~ spl0_451
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_428
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s3921,s5733,s4183,s7191,s1835,s1798,s7700,s3059]) ).

cnf(s7879,plain,
    ( spl0_370
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7764,s6955,s6957,s5222,s4866,s7380,s7878,s4686,s7378,s7877,s7876,s5144,s6173,s7873,s1688,s3984,s37,s6960,s2900,s2219,s605,s1653,s7871,s4221,s5018,s342,s22,s24]) ).

cnf(s7880,plain,
    ( ~ spl0_323
    | ~ spl0_198
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_31
    | spl0_200
    | ~ spl0_371
    | ~ spl0_24
    | spl0_346 ),
    inference(rat,[],[s2828,s6114,s6957,s5700,s7764,s3436,s6955,s2611,s2081,s5176,s6960,s6964]) ).

cnf(s7881,plain,
    ( ~ spl0_305
    | ~ spl0_365
    | ~ spl0_304
    | spl0_315
    | ~ spl0_58
    | ~ spl0_451
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_246 ),
    inference(rat,[],[s5242,s7789,s6897]) ).

cnf(s7882,plain,
    ( ~ spl0_195
    | spl0_465
    | ~ spl0_511
    | ~ spl0_421
    | ~ spl0_424
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_9 ),
    inference(rat,[],[s5295,s7382,s5288,s5633,s1910]) ).

cnf(s7883,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3162,s1724,s7381,s5632,s5837,s7382,s4238,s2952,s7882,s4183,s1798,s3059,s6455,s7337,s6889,s6961,s7881,s5409,s7378,s4686,s7700,s7380,s4027,s1308,s2669,s7875,s2828,s3276,s4076,s6957,s5697,s6932,s7764,s5894,s6955,s2611,s6173,s2151,s7880,s5573,s5785,s3841,s7879,s342,s4221,s5018,s3984,s6960,s67,s22,s24,s2900,s6964,s2219,s4144,s7871,s37]) ).

cnf(s7884,plain,
    ( ~ spl0_365
    | ~ spl0_313
    | ~ spl0_429
    | spl0_200
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(rat,[],[s2631,s4172,s538,s3587,s5242,s5370,s7663,s6964]) ).

cnf(s7885,plain,
    ( spl0_11
    | ~ spl0_323
    | ~ spl0_393
    | spl0_484
    | ~ spl0_223
    | ~ spl0_421
    | ~ spl0_38 ),
    inference(rat,[],[s6552,s6855,s4868,s2680,s6467,s4828]) ).

cnf(s7886,plain,
    ( ~ spl0_301
    | ~ spl0_363
    | ~ spl0_393
    | spl0_484
    | ~ spl0_313
    | ~ spl0_429
    | spl0_200
    | ~ spl0_428 ),
    inference(rat,[],[s6682,s5175,s7381,s6400,s2675,s5023,s6956,s5626,s7764]) ).

cnf(s7887,plain,
    ( ~ spl0_323
    | ~ spl0_393
    | ~ spl0_383
    | spl0_193
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_37
    | spl0_200
    | ~ spl0_196
    | ~ spl0_371
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s6114,s4961,s5700,s7525,s3436,s6955,s6365,s3276,s6957,s7886,s7382,s2309,s6172,s3806,s7380,s3016,s7885,s6960,s6964,s6962,s2721,s1835,s2880]) ).

cnf(s7888,plain,
    ( spl0_370
    | ~ spl0_38
    | spl0_31
    | spl0_206
    | spl0_200
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3551,s3561,s2952,s538,s2631,s4172,s3158,s6682,s7381,s5902,s5040,s7382,s6181,s5289,s3203,s5100,s6956,s7380,s7595,s3806,s7774,s5144,s6173,s2151,s7887,s7383,s3500,s5733,s1835,s7760,s4686,s7378,s7884,s1688,s6964,s1653,s2524,s7337,s3508,s4146,s6962,s2721]) ).

cnf(s7889,plain,
    ( ~ spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5242,s6197,s7789,s7620,s7378,s4866,s7380,s7723,s2151,s7774,s3276,s6957,s6724,s1208,s7649,s5635,s2104,s7888,s6962,s7337,s2721,s3508,s6264,s4146,s2524,s7883,s7871,s6964,s2219,s3984,s37,s67,s24]) ).

cnf(s7890,plain,
    ( ~ spl0_309
    | ~ spl0_306
    | spl0_320
    | ~ spl0_370
    | spl0_493
    | ~ spl0_35
    | ~ spl0_428 ),
    inference(rat,[],[s6903,s2514]) ).

cnf(s7891,plain,
    ( spl0_195
    | ~ spl0_414
    | ~ spl0_364
    | ~ spl0_145
    | ~ spl0_304
    | ~ spl0_100
    | ~ spl0_360
    | spl0_223
    | ~ spl0_306
    | spl0_206
    | spl0_122
    | ~ spl0_371
    | ~ spl0_20
    | spl0_346 ),
    inference(rat,[],[s113,s175,s324,s142,s4979,s4262,s7351,s171,s4650,s5854,s5945,s2653,s6221,s4235,s4247,s6969,s7800,s7382,s4238,s2952,s6960,s2900]) ).

cnf(s7892,plain,
    ( spl0_420
    | ~ spl0_312
    | ~ spl0_609
    | ~ spl0_364
    | ~ spl0_304
    | ~ spl0_100 ),
    inference(rat,[],[s5395,s2024,s2175,s5373,s4269,s2640,s2216,s6221,s6543]) ).

cnf(s7893,plain,
    ( spl0_324
    | ~ spl0_423
    | ~ spl0_609
    | ~ spl0_364
    | ~ spl0_145
    | ~ spl0_304
    | ~ spl0_100
    | ~ spl0_360
    | ~ spl0_306
    | spl0_206
    | spl0_122
    | spl0_493
    | ~ spl0_20 ),
    inference(rat,[],[s113,s175,s324,s142,s4979,s4821,s7351,s171,s5854,s5945,s2653,s7892,s6969]) ).

cnf(s7894,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_24
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s4821,s142,s4810,s4850,s7893,s6957,s5697,s6232,s7764,s6964,s7381,s681,s3158,s6468,s3498,s4299,s1910,s7891,s2096,s1724,s4122,s7378,s7380,s7822,s7796,s5528,s1208,s7890,s307,s6899,s5894,s2737,s6955,s131,s2611,s1835,s7794,s7797,s5641,s2081,s1653,s5573,s6810,s5176,s7868,s342,s6949,s6936,s5018,s37,s6960,s22,s2900,s5127,s3866,s67,s24,s2104,s5785]) ).

cnf(s7895,plain,
    ( ~ spl0_206
    | ~ spl0_342
    | spl0_306
    | ~ spl0_323
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_428
    | ~ spl0_19 ),
    inference(rat,[],[s5627,s5522,s3162,s7381,s6228,s7382,s1724,s4238,s7540,s2952,s7741,s6455,s7380,s4866,s7378,s6919,s2611,s7722,s6956,s6964,s6957,s3041,s7671,s2777,s5126,s5127,s2104,s7337]) ).

cnf(s7896,plain,
    ( ~ spl0_323
    | ~ spl0_370
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3271,s6956,s6149,s7525,s5733,s2680,s4122,s7821,s7378,s6957,s7822,s6724,s6962,s5573,s4144,s1653,s7895,s1208,s1314,s7337,s5635,s3508,s6264,s4146,s2524,s7894,s3984,s37,s6960,s18,s5127,s3866,s7889,s67,s24]) ).

cnf(s7897,plain,
    ( spl0_195
    | ~ spl0_414
    | spl0_223
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_306
    | ~ spl0_145
    | spl0_206
    | spl0_122
    | ~ spl0_11
    | ~ spl0_304
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_14
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s131,s7806,s7891,s2952]) ).

cnf(s7898,plain,
    ( ~ spl0_99
    | spl0_122
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s175,s4785,s5718]) ).

cnf(s7899,plain,
    ( ~ spl0_306
    | ~ spl0_193
    | ~ spl0_145
    | spl0_206
    | ~ spl0_58
    | spl0_387
    | spl0_122
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_304
    | spl0_399
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_14
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4821,s142,s4810,s4850,s7893,s6957,s5697,s6232,s7764,s6964,s7381,s681,s3158,s6468,s3498,s4299,s1910,s7897,s2096,s5733,s1724,s4122,s7378,s7380,s7822,s7796,s5528,s1208,s7803,s7890,s37,s6960,s2900,s5785,s5894,s5573,s1653,s2737,s131,s7898]) ).

cnf(s7900,plain,
    ( ~ spl0_364
    | ~ spl0_309
    | ~ spl0_302
    | spl0_306
    | spl0_315
    | ~ spl0_58
    | spl0_320
    | spl0_399
    | ~ spl0_370
    | ~ spl0_24
    | ~ spl0_428 ),
    inference(rat,[],[s6553,s4238,s5837,s6260,s7381,s3577,s7378,s6240,s1798,s3059]) ).

cnf(s7901,plain,
    ( ~ spl0_31
    | ~ spl0_370
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4397,s2223,s5708,s4726,s7381,s3577,s5847,s7378,s3576,s4866,s7380,s7900,s6201,s6961,s6957,s7525,s5020,s5014,s7337,s7899,s7875,s307,s4076,s6899,s6962,s1653,s6932,s5573,s7870,s342,s6949,s6936,s4221,s5018,s6960,s22,s5127,s3866,s7889,s67,s24,s2104,s5785,s6955,s2611,s6173,s7896,s37]) ).

cnf(s7902,plain,
    ( ~ spl0_192
    | ~ spl0_364
    | ~ spl0_466
    | ~ spl0_9
    | ~ spl0_428 ),
    inference(rat,[],[s6553,s4238,s3755,s1910]) ).

cnf(s7903,plain,
    ( ~ spl0_87
    | spl0_122
    | ~ spl0_500
    | ~ spl0_368
    | ~ spl0_361
    | spl0_360
    | ~ spl0_623
    | ~ spl0_304
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_9 ),
    inference(rat,[],[s5045,s6872,s6401,s171,s6969,s272,s7219,s3499,s162,s6957,s6101,s5609]) ).

cnf(s7904,plain,
    ( spl0_122
    | ~ spl0_443
    | ~ spl0_500
    | ~ spl0_436
    | ~ spl0_368
    | ~ spl0_414
    | spl0_223
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_364
    | ~ spl0_11
    | ~ spl0_206
    | spl0_360
    | ~ spl0_623
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_304
    | spl0_323
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_9
    | spl0_346 ),
    inference(rat,[],[s4653,s2093,s2072,s113,s5000,s6872,s6969,s7800,s4930,s131,s5035,s7728,s5431,s307,s7903,s6957,s6101,s5609,s5305,s6258]) ).

cnf(s7905,plain,
    ( ~ spl0_315
    | ~ spl0_368
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_364
    | ~ spl0_206
    | spl0_360
    | ~ spl0_51
    | ~ spl0_623
    | ~ spl0_305
    | ~ spl0_421
    | ~ spl0_41
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5555,s3811,s5718,s7362,s257,s4453,s7904,s6964,s681,s3310,s2952,s7145,s2535,s2750,s7560,s4109,s1679,s7148,s24,s3769,s7681,s2151,s5126,s5733,s2096,s1724,s4124,s6957,s6101,s5609,s5127,s6955,s2611,s6173,s7147]) ).

cnf(s7906,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_224
    | ~ spl0_623
    | ~ spl0_41
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(rat,[],[s6401,s5732,s171,s4484,s272,s2544,s162]) ).

cnf(s7907,plain,
    ( ~ spl0_100
    | ~ spl0_436
    | ~ spl0_224
    | spl0_315
    | ~ spl0_386
    | ~ spl0_414
    | spl0_223
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_364
    | ~ spl0_206
    | spl0_360
    | ~ spl0_623
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_41
    | ~ spl0_304
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_9
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(rat,[],[s2093,s113,s2488,s5000,s272,s6872,s2890,s6969,s7818,s7800,s7728,s5431,s307,s7906,s4930,s4452,s6957,s6101,s5609,s5127,s5126,s5305,s6258]) ).

cnf(s7908,plain,
    ( ~ spl0_200
    | spl0_315
    | ~ spl0_386
    | ~ spl0_368
    | ~ spl0_361
    | ~ spl0_366
    | ~ spl0_390
    | ~ spl0_364
    | ~ spl0_206
    | spl0_360
    | ~ spl0_623
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_41
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s272,s6239,s2732,s4125,s6201,s7362,s7674,s131,s7907,s2952,s7145,s6257,s681,s5126,s5733,s2096,s1724,s4124,s6957,s6101,s5609,s5127,s6955,s2611,s6173,s7147]) ).

cnf(s7909,plain,
    ( ~ spl0_99
    | spl0_122
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s5691,s5718,s7362]) ).

cnf(s7910,plain,
    ( spl0_122
    | spl0_415
    | ~ spl0_145
    | spl0_315
    | ~ spl0_386
    | ~ spl0_414
    | spl0_223
    | ~ spl0_361
    | ~ spl0_206
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_38
    | spl0_323
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5691,s142,s2072,s4262,s113,s2488,s321,s272,s2890,s7818,s7909,s5127,s6955,s2611,s6173,s2680,s5126]) ).

cnf(s7912,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | spl0_122
    | spl0_315
    | ~ spl0_37
    | ~ spl0_304
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_24 ),
    inference(rat,[],[s5616,s319,s2890,s2387,s5368,s272,s1947,s3499,s162,s513,s67,s24]) ).

cnf(s7913,plain,
    ( spl0_122
    | ~ spl0_443
    | spl0_315
    | ~ spl0_386
    | ~ spl0_414
    | spl0_223
    | ~ spl0_361
    | ~ spl0_206
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_37
    | spl0_323
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7910,s5035,s307,s7912,s131,s7909,s67,s24,s6955,s2611,s6173,s5126]) ).

cnf(s7914,plain,
    ( ~ spl0_364
    | ~ spl0_206
    | ~ spl0_466
    | ~ spl0_51
    | ~ spl0_305
    | spl0_306
    | ~ spl0_41
    | ~ spl0_37
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s5624,s4992,s5328,s171,s4875,s4874,s7362,s1659,s4453,s7913,s6964,s7908,s7905,s7700,s7381,s1835,s3830,s2096,s5733,s1724,s4124,s7382,s7378,s5295,s6919,s3494,s5288,s3584,s1870,s7902,s6258,s6455,s6960,s5754,s5892,s67,s24,s2669,s6109,s5894,s6957,s6101,s5609,s2680,s7681,s7337,s6264,s5127,s6955,s2611,s6173,s7147,s5126]) ).

cnf(s7915,plain,
    ( ~ spl0_544
    | ~ spl0_38
    | spl0_196
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_24 ),
    inference(rat,[],[s7145,s4109,s681,s2122,s2509,s7788,s7722,s7148,s24,s5127]) ).

cnf(s7916,plain,
    ( ~ spl0_206
    | ~ spl0_466
    | ~ spl0_51
    | ~ spl0_305
    | spl0_306
    | ~ spl0_41
    | ~ spl0_37
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4866,s7378,s7380,s6919,s7914,s2104,s6957,s6101,s5609,s2680,s7681,s7337,s5127,s6955,s2611,s6173,s7147,s7915,s6264]) ).

cnf(s7918,plain,
    ( ~ spl0_145
    | spl0_99
    | ~ spl0_436
    | ~ spl0_361
    | ~ spl0_386
    | ~ spl0_414
    | spl0_223
    | ~ spl0_364
    | spl0_315
    | ~ spl0_418
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_304
    | spl0_323
    | spl0_196
    | ~ spl0_371
    | ~ spl0_63
    | spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s2093,s113,s2488,s321,s272,s2890,s7818,s5431,s5127,s2680]) ).

cnf(s7921,plain,
    ( ~ spl0_99
    | ~ spl0_200
    | spl0_206
    | ~ spl0_501
    | spl0_47
    | spl0_196
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5624,s6103,s171,s6065,s4314,s5718,s4875]) ).

cnf(s7922,plain,
    ( ~ spl0_200
    | ~ spl0_361
    | ~ spl0_368
    | ~ spl0_386
    | ~ spl0_366
    | spl0_206
    | ~ spl0_38
    | spl0_47
    | ~ spl0_37
    | spl0_323
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s305,s7912,s7918,s4453,s131,s7921,s2952,s6257,s67,s24,s5892,s6113,s3769,s2151,s5733,s2096,s1724,s4122,s4144,s7380,s4866,s2104,s6957,s6101,s5609,s2680,s7681,s7337,s3508,s1208,s5635,s5127,s6955,s2611,s6173]) ).

cnf(s7923,plain,
    ( ~ spl0_99
    | ~ spl0_193
    | spl0_192
    | ~ spl0_511
    | ~ spl0_366
    | spl0_206
    | ~ spl0_501
    | spl0_47
    | spl0_196
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_24
    | ~ spl0_19 ),
    inference(rat,[],[s6103,s3343,s5624,s5328,s171,s4314,s5718,s4875,s4874]) ).

cnf(s7924,plain,
    ( ~ spl0_371
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s2072,s113,s2732,s321,s272,s2890,s7818,s5035,s307,s7912,s4453,s131,s7923,s6964,s7922,s7382,s7381,s5295,s3830,s7700,s5288,s1870,s1835,s2096,s7902,s6455,s5733,s1724,s7380,s4122,s4866,s7378,s7822,s6201,s6113,s4144,s1653,s7916,s3769,s6957,s6101,s6109,s5609,s2669,s2680,s5712,s53,s7681,s5025,s1208,s5892,s7337,s5635,s3508,s6264,s280,s4146,s2524,s7901,s5894,s6955,s2611,s6173,s2151,s7896,s2104,s3866,s7147,s5127,s7889,s3984,s37,s6960,s67,s4485,s1679,s7148,s24]) ).

cnf(s7925,plain,
    ( spl0_370
    | spl0_371
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s7763,s4489,s7147]) ).

cnf(s7926,plain,
    ( ~ spl0_304
    | ~ spl0_443
    | ~ spl0_308
    | spl0_346 ),
    inference(rat,[],[s5697,s2214,s5894,s6960]) ).

cnf(s7927,plain,
    ( ~ spl0_196
    | spl0_371
    | ~ spl0_9
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6117,s5220,s3502,s2952,s7382,s5999,s2105,s7227,s7637,s6957,s4948,s4865,s5120,s3271,s5100,s6956,s7926,s1840,s4122,s7378,s6691,s7383,s1208,s2721,s3500,s5635,s6264,s4146,s2524,s7870,s1653,s7782,s6964,s3841,s2219,s3984,s37,s7148,s24,s1690,s7146,s7810,s7003,s7925]) ).

cnf(s7928,plain,
    ( ~ spl0_193
    | spl0_453
    | ~ spl0_363
    | spl0_323
    | ~ spl0_360 ),
    inference(rat,[],[s3502,s7382,s4868,s5850,s5225,s4685]) ).

cnf(s7929,plain,
    ( ~ spl0_315
    | ~ spl0_327
    | ~ spl0_363
    | ~ spl0_306
    | ~ spl0_443
    | ~ spl0_366
    | ~ spl0_305
    | ~ spl0_206
    | spl0_196
    | ~ spl0_370
    | spl0_323
    | ~ spl0_360
    | ~ spl0_20
    | ~ spl0_24
    | spl0_346 ),
    inference(rat,[],[s6553,s2105,s3625,s7227,s1835,s7928,s6117,s5739,s5220,s6957,s2952,s6062,s7560,s5785,s5126,s5144]) ).

cnf(s7930,plain,
    ( ~ spl0_363
    | ~ spl0_306
    | ~ spl0_303
    | ~ spl0_443
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_305
    | spl0_418
    | spl0_31
    | ~ spl0_206
    | spl0_196
    | ~ spl0_370
    | spl0_323
    | ~ spl0_360
    | ~ spl0_20
    | ~ spl0_24
    | spl0_346 ),
    inference(rat,[],[s6184,s6682,s7227,s7381,s2675,s3580,s6957,s7601,s6400,s6962,s7929,s5144,s4685,s5222,s5126]) ).

cnf(s7931,plain,
    ( ~ spl0_364
    | spl0_418
    | ~ spl0_383
    | ~ spl0_308
    | ~ spl0_20
    | ~ spl0_24
    | spl0_346 ),
    inference(rat,[],[s2631,s538,s4172,s2952,s2718,s4209,s4208,s4287,s4279,s5506,s6960,s7006]) ).

cnf(s7932,plain,
    ( ~ spl0_206
    | spl0_196
    | ~ spl0_370
    | ~ spl0_383
    | spl0_323
    | spl0_371
    | ~ spl0_9
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_24
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s5739,s3625,s6957,s5220,s3580,s2952,s7382,s2675,s5999,s2105,s7227,s1835,s7736,s7337,s5144,s7930,s5222,s7380,s7931,s6956,s7926,s6964,s4122,s3953,s7378,s7695,s6919,s7383,s1208,s2680,s7915,s3500,s5635,s6264,s4146,s2524,s7870,s5126,s3984,s37,s7148,s24,s1690,s7146]) ).

cnf(s7933,plain,
    ( spl0_346
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s7902,s7380,s5141,s2675,s2223,s6956,s5225,s4397,s7926,s7875,s4221,s5018,s4183,s6964,s4076,s4146,s5640,s2514,s5635,s7381,s6961,s3577,s7822,s5847,s7378,s4122,s5573,s4144,s1653,s7932,s3866,s5127,s7927,s7925,s7810,s2151,s7003,s1690,s7924,s7148,s4485,s67,s24,s7867,s5507,s6139,s10,s7853,s1679,s7850,s6960,s15,s37,s7617]) ).

cnf(s7934,plain,
    ( ~ spl0_200
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s1212,s5981,s6724,s1786,s7337,s6957,s538,s5077,s3276,s1208,s1726,s4863,s2503,s5523,s1798,s5462,s4506,s6467,s6726,s9,s5018,s6709,s6821,s681,s1,s7933,s6,s7617,s5533,s37]) ).

cnf(s7935,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | spl0_513
    | spl0_200
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s5168,s2504,s6099,s6961,s5707,s4129,s7337,s6957,s2832,s5077,s3276,s5297,s4863,s5579,s4828,s6791,s7868,s3841,s1982]) ).

cnf(s7936,plain,
    ( spl0_323
    | ~ spl0_370
    | ~ spl0_443
    | ~ spl0_196
    | spl0_371
    | ~ spl0_30
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s5027,s6957,s6955,s3276,s3175,s6712,s6173,s37]) ).

cnf(s7937,plain,
    ( ~ spl0_196
    | spl0_24
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s7935,s6347,s7936,s5433,s1982,s6964,s7934,s7933,s25,s7852,s65,s5533,s255,s37]) ).

cnf(s7938,plain,
    ( spl0_24
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6824,s6347,s1982,s6823,s6821,s9,s4832,s7937,s5533,s255,s1,s6,s7617,s25,s37]) ).

cnf(s7939,plain,
    ( ~ spl0_20
    | ~ spl0_196
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5640,s7381,s1786,s3970,s538,s5017,s1726,s4183,s4191,s6957,s5523,s1798,s3770,s3276,s6467,s6726,s4787,s4863,s6962,s6709,s4828,s5579,s6790,s7936,s3841,s7870,s6347,s1982,s6964,s7934,s5533,s1,s7933,s25,s37,s7852,s1679,s7938]) ).

cnf(s7940,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6824,s6347,s1982,s6498,s6823,s6821,s6790,s1,s6,s7617,s25,s37]) ).

cnf(s7941,plain,
    ( ~ spl0_13
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s4832,s7939,s9,s6687,s7940,s6,s7617,s37]) ).

cnf(s7942,plain,
    ( ~ spl0_206
    | ~ spl0_62
    | ~ spl0_20
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s7651,s3599,s7655,s7638,s4489,s5533]) ).

cnf(s7943,plain,
    ( spl0_206
    | ~ spl0_20
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5113,s7380,s7006,s7382,s5428,s4868,s4954,s3755,s3073,s2880,s4863,s5018,s6467,s5733,s4828,s7866,s2900,s7646,s7666,s7763,s1688,s4708,s5622,s1653,s5533]) ).

cnf(s7944,plain,
    ( ~ spl0_20
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6592,s5004,s6957,s3175,s7006,s3276,s6173,s3770,s4863,s7854,s4788,s5462,s1679,s5579,s5018,s9,s65,s3841,s7655,s7942,s4489,s7943,s5533]) ).

cnf(s7945,plain,
    ( ~ spl0_360
    | ~ spl0_371
    | ~ spl0_370
    | ~ spl0_58
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s3780,s2122,s5024,s7649,s7337,s6957,s5077,s2828,s4863,s3841]) ).

cnf(s7946,plain,
    ( ~ spl0_371
    | ~ spl0_370
    | ~ spl0_206
    | spl0_24
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_23
    | ~ spl0_32
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s7656,s3780,s2002,s7856,s1649,s7283,s7642,s4828,s7945,s2104,s5639,s5746,s6507,s203,s19,s65,s605,s5204]) ).

cnf(s7947,plain,
    ( ~ spl0_206
    | spl0_24
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3780,s6961,s5004,s6957,s7681,s7006,s6955,s3276,s4954,s3175,s7337,s4863,s3204,s6173,s7836,s7146,s6009,s7946,s4489,s6659,s2524,s6461,s5978,s7148,s7944]) ).

cnf(s7948,plain,
    ( spl0_24
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7243,s5902,s5020,s7381,s3904,s4257,s7382,s7380,s7839,s7759,s2309,s3016,s6467,s6464,s4070,s1798,s3587,s2423,s7789,s7378,s1308,s5975,s4135,s5733,s6962,s5639,s7646,s2254,s1649,s1208,s3595,s7666,s7763,s1688,s5741,s4708,s5622,s4144,s1653,s7947,s6507,s203,s19,s65,s6659,s2524,s6461,s5978,s7148,s7944,s37]) ).

cnf(s7949,plain,
    ( ~ spl0_371
    | ~ spl0_635
    | ~ spl0_206
    | spl0_315
    | ~ spl0_38
    | ~ spl0_24
    | ~ spl0_34
    | spl0_47
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s6682,s5056,s7383,s6431,s171,s3011,s2294,s142,s161,s4385,s1835,s4383,s4315,s131,s7856,s7832,s6957,s4828,s6724,s7649,s7337,s3508,s2104,s5746,s6962,s1208,s5635,s4489]) ).

cnf(s7950,plain,
    ( ~ spl0_206
    | ~ spl0_38
    | ~ spl0_24
    | ~ spl0_627
    | ~ spl0_196
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6592,s7681,s3175,s7337,s4954,s3204,s6173,s7836,s7146,s6009,s7949,s1208,s5635,s6302,s4489,s2524,s4146,s6461,s5978,s2535,s1679,s4506,s7148,s7944]) ).

cnf(s7951,plain,
    ( ~ spl0_196
    | spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s5175,s6682,s7525,s7381,s6955,s2105,s6365,s4866,s7382,s7380,s2309,s3016,s7378,s7885,s6691,s6957,s7383,s1308,s6724,s3500,s2880,s4135,s7337,s5733,s3508,s5639,s7646,s1208,s7666,s7763,s1688,s5741,s4708,s5622,s1653,s7950,s6962,s2535,s6264,s1679,s7948,s4506,s6461,s4146,s2524,s7148,s5978,s6094,s7944,s15,s1,s3984,s7933,s6,s7617,s37,s6139,s5507,s10,s7941]) ).

cnf(s7952,plain,
    ( ~ spl0_371
    | spl0_24
    | ~ spl0_34
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3706,s2645,s6447,s3059,s7380,s4866,s7378,s2510,s2586,s7383,s3060,s1724,s2294,s4385,s5702,s1835,s6956,s1649,s7856,s7283,s3041,s7671,s2104,s5639,s5746,s605,s5204,s6507,s203,s19,s6659,s7655,s5622,s65]) ).

cnf(s7953,plain,
    ( spl0_24
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_622
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s4124,s6957,s7382,s3665,s4249,s3953,s5999,s5640,s4122,s7227,s7378,s1308,s3017,s4135,s2256,s7654,s7810,s7836,s6009,s1690,s7952,s65,s605,s5204,s6659,s6461,s5978,s7148,s7655,s5622]) ).

cnf(s7954,plain,
    ( ~ spl0_371
    | ~ spl0_38
    | ~ spl0_24
    | ~ spl0_34
    | ~ spl0_370
    | spl0_196
    | ~ spl0_14
    | ~ spl0_8
    | spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s3922,s5516,s7381,s6228,s7378,s6919,s5242,s3334,s7382,s6747,s2718,s7383,s3011,s2294,s2696,s4385,s1835,s6956,s6964,s7337,s7856,s7283,s3041,s7671,s3508,s2104,s5639,s5746,s605,s5204,s1208,s5635,s4146,s5978,s7655,s9,s4832,s5622]) ).

cnf(s7955,plain,
    ( spl0_9
    | spl0_4
    | spl0_1 ),
    inference(rat,[],[s6592,s7681,s3175,s7337,s4954,s3204,s6173,s7836,s7146,s6009,s7954,s1208,s5635,s6264,s7953,s6461,s4146,s2524,s7148,s5978,s7655,s5622,s9,s7147,s4832,s7951,s5507,s6139,s10,s7941,s6,s15,s3984,s37,s7617,s7933]) ).

cnf(s7956,plain,
    ( spl0_24
    | spl0_200
    | ~ spl0_196
    | spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(rat,[],[s7595,s79,s6303,s183,s2151,s5720,s3041,s1653,s6955,s6215,s6214,s6212,s53,s6858,s1660,s7417,s5617,s255,s4146,s6964,s1982]) ).

cnf(s7957,plain,
    ( ~ spl0_196
    | ~ spl0_13
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6551,s7789,s5242,s1760,s1208,s2721,s7616,s4144,s1653,s5635,s6264,s280,s7612,s7956,s1982,s6964,s2219,s3984,s6863,s2524,s4146,s7499,s37]) ).

cnf(s7958,plain,
    ( spl0_370
    | ~ spl0_206
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_20
    | spl0_195
    | ~ spl0_62
    | spl0_196
    | spl0_31
    | ~ spl0_11
    | ~ spl0_13
    | spl0_360
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s6333,s4519,s3590,s2145,s3755,s7382,s7592,s5712,s2151,s5893,s3041,s5731,s6955,s3921,s2335,s3953,s5975,s7378,s6106,s7590,s681,s5938,s1982,s5981,s1786,s4146,s37,s6957,s7601,s5609,s5127]) ).

cnf(s7959,plain,
    ( ~ spl0_303
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_150
    | ~ spl0_346 ),
    inference(rat,[],[s3920,s2696,s6214]) ).

cnf(s7960,plain,
    ( ~ spl0_371
    | ~ spl0_38
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_150
    | ~ spl0_383
    | ~ spl0_436
    | ~ spl0_20
    | ~ spl0_62
    | ~ spl0_345
    | spl0_47
    | ~ spl0_11
    | spl0_360
    | ~ spl0_346
    | ~ spl0_10 ),
    inference(rat,[],[s3011,s6747,s7597,s7382,s4124,s7378,s3148,s5618,s6215,s681,s3072,s5892,s7337,s3923,s6446,s7383,s5981,s1208,s5617,s6955,s7959]) ).

cnf(s7961,plain,
    ( ~ spl0_200
    | ~ spl0_465
    | ~ spl0_206
    | ~ spl0_51
    | ~ spl0_150
    | ~ spl0_383
    | ~ spl0_20
    | spl0_195
    | ~ spl0_62
    | spl0_196
    | spl0_31
    | ~ spl0_11
    | spl0_360
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s6551,s3953,s7590]) ).

cnf(s7962,plain,
    ( ~ spl0_206
    | spl0_24
    | ~ spl0_13
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6552,s6455,s5175,s5405,s6747,s7681,s7337,s5077,s67,s4647,s4216,s6181,s7382,s4124,s3580,s7378,s6919,s7722,s6964,s7961,s5429,s7960,s79,s6303,s183,s2151,s5720,s3041,s6955,s7959,s7695,s1208,s5617,s7958,s6957,s7601,s3984,s6863,s5609,s5127,s7957,s2651,s65,s2952,s7383,s5981,s1786,s53,s1660,s6212,s6858,s514,s46,s2268,s7577,s4146,s7499,s255,s37]) ).

cnf(s7963,plain,
    ( spl0_24
    | ~ spl0_13
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s4726,s7381,s2223,s3577,s1716,s3866,s1688,s67,s5617,s7524,s6961,s7788,s6691,s6962,s6113,s7378,s5900,s79,s5975,s6108,s6215,s183,s4144,s1653,s5719,s7962,s6212,s53,s6858,s1660,s7383,s514,s5981,s46,s1786,s2268,s255,s7577,s19,s3984,s4146,s7499,s37,s5127,s7957]) ).

cnf(s7964,plain,
    ( ~ spl0_13
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7570,s3500,s1208,s7378,s1786,s5635,s1760,s7722,s67,s7616,s4144,s1653,s1982,s6964,s24,s6264,s280,s7612,s7609,s7963,s5127,s7957,s4146,s2524,s7499,s3984,s37]) ).

cnf(s7965,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s5014,s6957,s6955,s5077,s3276,s3175,s6303,s6962,s6173,s2151,s5579,s7698,s5018,s3841,s5978]) ).

cnf(s7966,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | ~ spl0_62
    | spl0_200
    | ~ spl0_196
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3177,s5522,s7381,s4726,s5288,s4237,s7382,s5850,s4865,s4686,s1835,s7378,s5733,s1724,s5356,s6917,s6230,s2952,s6948,s5016,s6101,s6957,s6955,s3276,s2408,s5168,s4076,s67,s3175,s6303,s5617,s5579,s6173,s2151,s4326,s6182,s6791,s7965,s5978,s3984,s37,s3841,s4489]) ).

cnf(s7967,plain,
    ( spl0_323
    | ~ spl0_421
    | spl0_309
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_206
    | ~ spl0_196
    | spl0_360
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(rat,[],[s67,s4647,s5579,s4216,s6724,s6396,s6957,s6955,s3276,s3175,s6303,s6173,s2151,s3841,s1208]) ).

cnf(s7968,plain,
    ( ~ spl0_366
    | ~ spl0_193
    | spl0_387
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_323
    | spl0_309
    | spl0_31
    | ~ spl0_370
    | spl0_24
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6228,s7382,s7381,s4256,s1792,s5731,s3115,s7380,s1724,s6184,s7759,s5222,s4122,s4686,s65,s19,s2104]) ).

cnf(s7969,plain,
    ( ~ spl0_20
    | spl0_31
    | ~ spl0_206
    | spl0_24
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5242,s6197,s7789,s7620,s7378,s7968,s5573,s1835,s2335,s7856,s6956,s6957,s3041,s3021,s4828,s7967,s7337,s1208,s6446,s5617,s3984,s2104,s4489,s4146,s37]) ).

cnf(s7970,plain,
    ( ~ spl0_206
    | spl0_24
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s3494,s2747,s6258,s7380,s2675,s1870,s2880,s1910,s3060,s3115,s5845,s5312,s7383,s5708,s7381,s3579,s6034,s7378,s4865,s2202,s7856,s6956,s6957,s3041,s3021,s4828,s7828,s3780,s2002,s1649,s6507,s203,s7148,s6659,s7969,s2524,s7966,s2104,s4489,s37,s2669,s10,s7964,s7146,s2651,s6964,s2219,s65,s19]) ).

cnf(s7971,plain,
    ( ~ spl0_365
    | ~ spl0_607
    | spl0_417
    | ~ spl0_313
    | ~ spl0_371
    | ~ spl0_14 ),
    inference(rat,[],[s6552,s3806,s5409,s5370]) ).

cnf(s7972,plain,
    ( spl0_383
    | spl0_386
    | spl0_370
    | spl0_206
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s6200,s7381,s1835,s5510,s5733,s1724]) ).

cnf(s7973,plain,
    ( ~ spl0_368
    | ~ spl0_366
    | spl0_11
    | spl0_206
    | ~ spl0_196 ),
    inference(rat,[],[s6467,s1835,s5142,s6200,s1653,s4686]) ).

cnf(s7974,plain,
    ( spl0_11
    | ~ spl0_31
    | spl0_370
    | spl0_206
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4256,s5731,s7382,s3011,s5040,s6467,s6149,s2002,s5644,s6961,s5476,s7381,s7973,s6455,s7380,s3806,s7972,s6439,s7755,s4686,s7378,s7971,s5023,s5626,s6957,s5077,s3276,s6303,s6173,s2151,s4828,s5018,s2651,s2219,s1653,s1688]) ).

cnf(s7975,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_346 ),
    inference(rat,[],[s5168,s6446,s2935,s5176]) ).

cnf(s7976,plain,
    ( spl0_223
    | ~ spl0_511
    | ~ spl0_23
    | ~ spl0_366
    | ~ spl0_313
    | spl0_206
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_246 ),
    inference(rat,[],[s5476,s1208,s6439,s7381,s2002,s6261,s6200,s4865,s1835,s4686]) ).

cnf(s7977,plain,
    ( ~ spl0_23
    | ~ spl0_364
    | ~ spl0_383
    | ~ spl0_366
    | ~ spl0_607
    | ~ spl0_466
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_313
    | spl0_206
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s5476,s1208,s7381,s5644,s4659,s2721,s2122,s6439,s6400,s2444,s5168,s5981,s6205,s5949,s7976,s6455,s5077]) ).

cnf(s7981,plain,
    ( ~ spl0_368
    | ~ spl0_309
    | ~ spl0_383
    | spl0_386
    | ~ spl0_451
    | ~ spl0_20
    | spl0_206 ),
    inference(rat,[],[s7191,s6200,s5982]) ).

cnf(s7982,plain,
    ( ~ spl0_193
    | spl0_619
    | spl0_418
    | ~ spl0_63
    | spl0_386
    | ~ spl0_366
    | spl0_323
    | ~ spl0_552 ),
    inference(rat,[],[s4237,s7382,s5288,s5850,s4199]) ).

cnf(s7983,plain,
    ( ~ spl0_362
    | spl0_395
    | spl0_495
    | spl0_195
    | ~ spl0_364
    | ~ spl0_346 ),
    inference(rat,[],[s7342,s3691,s5281,s307,s4263,s5178,s4256]) ).

cnf(s7984,plain,
    ( ~ spl0_31
    | ~ spl0_20
    | spl0_370
    | spl0_206
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s5040,s7983,s4969,s3158,s4930,s3561,s131,s3551,s7750,s1835,s7982,s7381,s7981,s6230,s2952,s6948,s2408,s5168,s4076,s1649,s6881,s6507,s342,s22,s67,s7977,s7380,s3806,s7972,s4686,s7378,s7971,s5023,s5626,s6957,s3276,s6303,s6173,s2151,s7975,s4221,s7974,s6964,s2219,s4708,s1688]) ).

cnf(s7985,plain,
    ( spl0_11
    | ~ spl0_20
    | spl0_370
    | spl0_206
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s2012,s3011,s6961,s6747,s5476,s7382,s6455,s5040,s7383,s7380,s6467,s5981,s3806,s6439,s7776,s7381,s7972,s7755,s7973,s4686,s7378,s7971,s5023,s5626,s6957,s3276,s6303,s6173,s2151,s4828,s2651,s6964,s2219,s1688,s7337,s6446,s4146,s7984]) ).

cnf(s7986,plain,
    ( ~ spl0_365
    | spl0_31
    | ~ spl0_20
    | ~ spl0_313
    | spl0_206
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5295,s7382,s5288,s67,s2150,s6455,s7753,s2631,s7380,s6197,s1910,s538,s5843,s5242,s2880,s7663,s5370,s2669,s2651,s6964,s2219,s1653,s4708,s7337,s6446,s4146]) ).

cnf(s7987,plain,
    ( ~ spl0_99
    | ~ spl0_361
    | ~ spl0_223
    | ~ spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s4626,s3376,s7358,s7375,s6174,s7380,s3016]) ).

cnf(s7988,plain,
    ( ~ spl0_315
    | ~ spl0_51
    | spl0_309
    | spl0_348
    | spl0_376
    | ~ spl0_223
    | ~ spl0_323
    | spl0_484
    | spl0_386
    | ~ spl0_11
    | spl0_306
    | spl0_31
    | ~ spl0_20
    | spl0_206
    | ~ spl0_62
    | spl0_200
    | ~ spl0_196
    | ~ spl0_10 ),
    inference(rat,[],[s3474,s142,s5624,s175,s3637,s171,s160,s145,s4453,s131,s7987,s5892,s7382,s6955,s2309,s2675,s6200,s7381,s1794,s22,s3595,s2721,s6113,s4708,s2524,s7380,s3016]) ).

cnf(s7989,plain,
    ( spl0_309
    | spl0_348
    | spl0_376
    | ~ spl0_223
    | ~ spl0_323
    | spl0_484
    | ~ spl0_366
    | ~ spl0_11
    | spl0_306
    | spl0_31
    | ~ spl0_20
    | spl0_370
    | spl0_206
    | spl0_24
    | spl0_200
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6550,s1794,s2105,s22,s7382,s4866,s7761,s2309,s6957,s7760,s6724,s6962,s7988,s53,s1660,s7417,s1208,s65,s4708,s4146,s7337,s4686,s7380,s3016]) ).

cnf(s7990,plain,
    ( ~ spl0_301
    | ~ spl0_429
    | ~ spl0_363
    | ~ spl0_393
    | spl0_484
    | spl0_306
    | ~ spl0_313
    | spl0_200 ),
    inference(rat,[],[s6682,s7381,s5175,s2675,s6400,s6956,s5023,s5014,s5626]) ).

cnf(s7991,plain,
    ( ~ spl0_323
    | ~ spl0_366
    | ~ spl0_11
    | spl0_31
    | ~ spl0_20
    | spl0_370
    | spl0_206
    | spl0_24
    | spl0_200
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s5175,s6682,s7525,s7381,s6955,s2105,s6365,s4866,s6957,s7990,s7382,s2309,s7760,s6962,s2721,s2012,s7989,s6172,s3806,s7380,s3016,s3115,s7776,s7759,s6964,s65,s1688,s7337,s6446,s2880,s7383,s5981,s7972,s4686,s4146,s37]) ).

cnf(s7992,plain,
    ( ~ spl0_195
    | ~ spl0_383
    | spl0_386
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_246 ),
    inference(rat,[],[s6865,s7382,s4432,s2150,s1835,s1870,s2631,s6261,s1910,s538,s2651]) ).

cnf(s7993,plain,
    ( ~ spl0_23
    | ~ spl0_301
    | ~ spl0_421
    | spl0_31
    | spl0_206
    | ~ spl0_196 ),
    inference(rat,[],[s7454,s6724,s5741,s3595,s6461,s1653,s4708,s2524]) ).

cnf(s7994,plain,
    ( ~ spl0_20
    | spl0_370
    | spl0_206
    | spl0_24
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s6181,s5040,s5289,s5288,s3203,s67,s7993,s6230,s7776,s7992,s6455,s6957,s7380,s3276,s3806,s6303,s6173,s2151,s7991,s7383,s5981,s7972,s4686,s7378,s7986,s7985,s7337,s6446,s4146,s7984,s3984,s37,s2651,s10,s7964,s6964,s2219,s65,s1688]) ).

cnf(s7995,plain,
    ( spl0_20
    | ~ spl0_201
    | ~ spl0_25
    | ~ spl0_62
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(rat,[],[s7838,s6507,s6461,s203,s7148,s5978,s6659]) ).

cnf(s7996,plain,
    ( spl0_323
    | ~ spl0_429
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(rat,[],[s5168,s6400,s7576,s6101,s6957,s6955,s3276,s3175,s6303,s6173,s2151]) ).

cnf(s7997,plain,
    ( ~ spl0_365
    | ~ spl0_305
    | spl0_47
    | spl0_315
    | ~ spl0_20
    | ~ spl0_443
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s6197,s5242,s7620,s7789]) ).

cnf(s7998,plain,
    ( spl0_24
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6200,s7381,s1835,s1792,s3115,s5733,s1724,s7759,s4122,s4686,s7378,s7997,s1208,s5617,s4146,s7975,s4828,s7996,s6962,s5573,s7994,s7995,s4144,s1653,s7970,s19,s65,s3984,s37,s10,s7964,s7146,s2651,s6964,s2219]) ).

cnf(s7999,plain,
    ( ~ spl0_206
    | ~ spl0_421
    | ~ spl0_20
    | spl0_23
    | ~ spl0_24
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s4228,s2718,s3798,s6198,s6143,s7380,s1835,s4866,s4686,s7856,s7378,s6957,s7997,s3021,s4828,s1208,s7996,s5617,s6962,s4146,s2524,s5573,s2104,s7870,s4489,s7006,s6769,s3673,s2900]) ).

cnf(s8000,plain,
    ( ~ spl0_31
    | spl0_370
    | spl0_206
    | ~ spl0_20
    | ~ spl0_35
    | spl0_23
    | ~ spl0_24
    | spl0_200
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_424
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5295,s7382,s7982,s5850,s7875,s4076,s6923,s7972,s4686,s7378,s7877,s6173,s4221,s7975,s342,s5018,s67,s22,s7337,s4251,s3673,s2900,s4708,s1688]) ).

cnf(s8001,plain,
    ( spl0_370
    | ~ spl0_20
    | ~ spl0_35
    | ~ spl0_24
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s6553,s6365,s2309,s6467,s6957,s6172,s3768,s7990,s3806,s7380,s6855,s7383,s6956,s1835,s5981,s2880,s7525,s7760,s7972,s6962,s4686,s2721,s7378,s6264,s7986,s4146,s2524,s8000,s1688,s2669,s3673,s2900,s7999,s7337,s4251,s24,s6964,s2219,s2651]) ).

cnf(s8002,plain,
    ( ~ spl0_196
    | ~ spl0_570
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s7287,s4228,s6143,s3798,s6198,s1835,s7380,s5733,s5222,s4122,s4686,s7378,s7997,s1208,s5617,s4146,s2524,s7975,s6956,s4828,s7525,s7996,s6962,s5573,s2104,s8001,s6769,s7006,s3673,s7337,s2900,s4251,s7148,s4485,s24,s1679,s7998,s6964,s2219,s3984,s37,s10,s7964,s7146,s2651]) ).

cnf(s8003,plain,
    ( ~ spl0_31
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_366
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_346 ),
    inference(rat,[],[s6855,s7383,s5168,s7337,s6240,s5617,s6062,s4326,s6182,s5785]) ).

cnf(s8004,plain,
    ( ~ spl0_323
    | ~ spl0_51
    | ~ spl0_511
    | ~ spl0_20
    | ~ spl0_478
    | ~ spl0_366
    | ~ spl0_443
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_206
    | spl0_24
    | spl0_327
    | ~ spl0_370
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5577,s142,s5328,s5518,s175,s171,s160,s145,s3011,s5221,s5731,s4256,s7382,s6228,s7381,s1792,s3115,s1724,s1910,s4122,s1870,s2335,s3494,s6956,s4453,s131,s2747,s7856,s3041,s7832,s2669,s2651,s65,s19,s5617,s4146,s8003,s7380,s4866]) ).

cnf(s8005,plain,
    ( ~ spl0_195
    | spl0_201
    | ~ spl0_315
    | spl0_31
    | ~ spl0_20
    | ~ spl0_11
    | ~ spl0_25
    | ~ spl0_370
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(rat,[],[s7531,s6197,s1910,s5617,s4146]) ).

cnf(s8006,plain,
    ( ~ spl0_362
    | ~ spl0_393
    | spl0_195
    | spl0_223
    | ~ spl0_381
    | ~ spl0_23
    | ~ spl0_421
    | ~ spl0_37
    | spl0_360 ),
    inference(rat,[],[s1870,s5524,s4432,s3279,s4286,s6747,s5118]) ).

cnf(s8007,plain,
    ( ~ spl0_99
    | ~ spl0_304
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s7443,s6872,s4810,s2330,s2082,s7909,s5718,s7362]) ).

cnf(s8008,plain,
    ( ~ spl0_86
    | spl0_495
    | spl0_99
    | ~ spl0_418
    | ~ spl0_304
    | ~ spl0_348
    | ~ spl0_345
    | spl0_360 ),
    inference(rat,[],[s7443,s6872,s2940,s5000,s3977]) ).

cnf(s8009,plain,
    ( spl0_324
    | ~ spl0_361
    | ~ spl0_165
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_366
    | ~ spl0_302 ),
    inference(rat,[],[s4125,s2024,s1731,s4979,s6226]) ).

cnf(s8010,plain,
    ( ~ spl0_324
    | spl0_122
    | ~ spl0_466
    | ~ spl0_371
    | ~ spl0_6 ),
    inference(rat,[],[s4484,s3002,s4850]) ).

cnf(s8011,plain,
    ( ~ spl0_20
    | ~ spl0_206
    | spl0_24
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s3472,s307,s2803,s3691,s4067,s6872,s6969,s8010,s171,s7677,s4930,s4453,s131,s8007,s6461,s67,s5754,s5618,s5892,s6955,s3175,s6303,s6173,s2151,s8004,s53,s1660,s6455,s7417,s6446,s5617,s4146,s8003,s5126,s5631,s65,s7726,s7380,s4866,s7378,s6919,s7722,s6964,s681,s3072,s3923,s2104,s6957,s7601,s5609,s5127,s2651]) ).

cnf(s8012,plain,
    ( ~ spl0_323
    | ~ spl0_309
    | ~ spl0_34
    | ~ spl0_58
    | ~ spl0_32
    | ~ spl0_478
    | ~ spl0_366
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_62
    | spl0_327
    | ~ spl0_370
    | spl0_360
    | ~ spl0_346 ),
    inference(rat,[],[s2645,s3706,s3059,s6447,s7383,s3060,s2294,s4122,s1870,s2335,s3494,s1835,s6956,s2747,s7856,s3041,s2669,s7380,s4866]) ).

cnf(s8013,plain,
    ( ~ spl0_206
    | spl0_24
    | spl0_196
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s2072,s2623,s113,s272,s5565,s1330,s161,s2593,s171,s3472,s307,s2803,s3691,s4067,s6872,s6969,s8010,s4930,s2634,s4453,s131,s5618,s8007,s5892,s7337,s6955,s5077,s3175,s6303,s6173,s2151,s8012,s1649,s6507,s6461,s2524,s203,s7148,s5978,s6659,s8011,s7726,s7378,s6919,s7722,s6964,s681,s3072,s3923,s6957,s7601,s5126,s5609,s5127,s2104,s7147,s7146,s2651,s65,s19]) ).

cnf(s8014,plain,
    ( ~ spl0_20
    | ~ spl0_365
    | spl0_544
    | ~ spl0_319
    | spl0_11
    | spl0_387
    | ~ spl0_370
    | ~ spl0_10 ),
    inference(rat,[],[s5018,s4146,s2002,s5617,s6961,s7789,s5573]) ).

cnf(s8015,plain,
    ( spl0_20
    | ~ spl0_319
    | ~ spl0_304
    | ~ spl0_466
    | ~ spl0_25
    | ~ spl0_570 ),
    inference(rat,[],[s7454,s5020,s2002,s5077,s203,s7148,s6659]) ).

cnf(s8016,plain,
    ( ~ spl0_195
    | ~ spl0_421
    | ~ spl0_23
    | spl0_223
    | ~ spl0_366
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_246 ),
    inference(rat,[],[s6553,s2145,s7508,s2733,s6197,s538]) ).

cnf(s8017,plain,
    ( ~ spl0_362
    | spl0_596
    | spl0_195
    | ~ spl0_381 ),
    inference(rat,[],[s4286,s5118]) ).

cnf(s8018,plain,
    ( ~ spl0_99
    | ~ spl0_361
    | spl0_47
    | ~ spl0_23
    | ~ spl0_364
    | ~ spl0_366
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_466
    | spl0_11
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s113,s324,s5991,s8009,s171,s3810,s3002,s369,s186,s5718]) ).

cnf(s8019,plain,
    ( ~ spl0_23
    | spl0_223
    | ~ spl0_381
    | ~ spl0_364
    | ~ spl0_366
    | spl0_315
    | ~ spl0_20
    | spl0_200
    | ~ spl0_319
    | ~ spl0_304
    | spl0_11
    | spl0_24
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s305,s2889,s3691,s5616,s6872,s319,s5368,s6969,s8008,s8010,s4930,s4453,s131,s8018,s7382,s8017,s4432,s1870,s4726,s7381,s1792,s3115,s8016,s5168,s7525,s7337,s2002,s5077,s65,s19,s6303,s2151,s4828,s6957,s6101,s5609,s6964,s6962]) ).

cnf(s8020,plain,
    ( spl0_11
    | spl0_24
    | spl0_196
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s6446,s5892,s4146,s5754,s5018,s67,s8019,s5733,s1724,s7380,s4122,s4866,s7378,s8014,s5573,s8015,s7722,s5631,s6964,s681,s6201,s6468,s6957,s6926,s6101,s6955,s3175,s6303,s6173,s2151,s4828,s5609,s5127,s2104,s7147,s7146,s2651,s65,s19,s1653,s4144,s8013]) ).

cnf(s8021,plain,
    ( ~ spl0_304
    | spl0_493
    | ~ spl0_20
    | ~ spl0_365
    | spl0_206
    | ~ spl0_62
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s7525,s7337,s5168,s6889,s5617,s6961,s7822,s3599,s681,s6468,s6926,s5609,s2651,s1653,s5785,s6962,s5573,s4144,s37]) ).

cnf(s8022,plain,
    ( ~ spl0_20
    | ~ spl0_365
    | ~ spl0_11
    | spl0_206
    | ~ spl0_62
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4 ),
    inference(rat,[],[s5617,s4146,s6961,s7975,s7822,s6173,s3599,s2696,s6283,s6956,s8021,s5573,s2900,s2104,s1653,s4144,s37]) ).

cnf(s8023,plain,
    ( ~ spl0_364
    | ~ spl0_368
    | ~ spl0_323
    | ~ spl0_309
    | ~ spl0_440
    | ~ spl0_443
    | spl0_31
    | ~ spl0_32
    | ~ spl0_442
    | ~ spl0_11
    | ~ spl0_62
    | ~ spl0_345
    | spl0_360
    | ~ spl0_9 ),
    inference(rat,[],[s3115,s5312,s1910,s5708,s1870,s2202,s2674,s3016]) ).

cnf(s8024,plain,
    ( ~ spl0_303
    | ~ spl0_44
    | ~ spl0_23
    | spl0_31
    | ~ spl0_32
    | ~ spl0_442
    | ~ spl0_365
    | ~ spl0_11
    | ~ spl0_201
    | ~ spl0_62
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s5708,s2586,s2202,s2510,s5733,s1724,s2880,s2675,s7380,s8023,s7381,s3579,s6120,s2002,s6173,s1649,s6034,s6964,s2696,s6283,s2651,s2104]) ).

cnf(s8025,plain,
    ( ~ spl0_365
    | ~ spl0_11
    | spl0_206
    | ~ spl0_25
    | ~ spl0_62
    | spl0_196
    | ~ spl0_570
    | ~ spl0_9
    | ~ spl0_346
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s8015,s6201,s6303,s6957,s2151,s6101,s7506,s6955,s8024,s6507,s203,s7148,s5978,s6659,s8022,s5847,s3984,s37,s10,s7964,s7146,s7147,s5609,s5127,s2651,s1653]) ).

cnf(s8026,plain,
    ( ~ spl0_99
    | spl0_47
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_11
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(rat,[],[s369,s6244,s5718]) ).

cnf(s8027,plain,
    ( ~ spl0_418
    | spl0_200
    | ~ spl0_304
    | ~ spl0_466
    | ~ spl0_31
    | spl0_315
    | ~ spl0_20
    | ~ spl0_11
    | ~ spl0_62
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(rat,[],[s305,s2889,s3691,s5616,s6872,s319,s5368,s6969,s8008,s8010,s4930,s4453,s131,s8026,s5168,s2151,s7975]) ).

cnf(s8028,plain,
    ( ~ spl0_31
    | ~ spl0_20
    | ~ spl0_11
    | spl0_206
    | ~ spl0_62
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s67,s7803,s5077,s2140,s7525,s8027,s681,s6468,s6926,s6955,s3175,s6303,s6173,s2151,s7975,s2900,s5785,s6962,s5573,s4144]) ).

cnf(s8029,plain,
    ( spl0_324
    | ~ spl0_110
    | ~ spl0_94
    | ~ spl0_361
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_20
    | ~ spl0_366
    | ~ spl0_345
    | spl0_360
    | ~ spl0_346 ),
    inference(rat,[],[s175,s113,s2330,s324,s6872,s8009,s6969]) ).

cnf(s8030,plain,
    ( ~ spl0_99
    | ~ spl0_361
    | ~ spl0_466
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_302
    | spl0_47
    | ~ spl0_20
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_345
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s5448,s272,s4810,s3002,s8029,s171,s369,s2082,s5718,s5752,s6114]) ).

cnf(s8031,plain,
    ( ~ spl0_304
    | spl0_31
    | ~ spl0_20
    | ~ spl0_366
    | spl0_206
    | ~ spl0_25
    | ~ spl0_62
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | spl0_360
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s324,s113,s8009,s171,s8008,s8010,s7677,s4930,s4453,s131,s8030,s7382,s8006,s7383,s4070,s6200,s7381,s1792,s3115,s8016,s6461,s67,s6303,s5754,s2151,s7525,s5892,s7506,s5127,s1724,s1835,s5733,s4122,s6962,s2524,s7380,s4866,s2104,s6964,s5631,s681,s3072,s3923,s6957,s6724,s7337,s6446,s5573,s4144,s1208,s5617,s4146]) ).

cnf(s8032,plain,
    ( ~ spl0_20
    | ~ spl0_366
    | ~ spl0_11
    | spl0_206
    | ~ spl0_25
    | ~ spl0_62
    | ~ spl0_370
    | spl0_196
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_246
    | ~ spl0_19 ),
    inference(rat,[],[s1792,s7381,s3115,s4726,s1910,s1870,s3494,s2747,s6173,s2696,s6956,s8031,s6964,s6258,s681,s7380,s3072,s4866,s3923,s6957,s6724,s7337,s1208,s6446,s5617,s4146,s8028,s5573,s2669,s2651,s5127,s2104,s1724,s6149,s5733,s4122,s4144,s1653]) ).

cnf(s8033,plain,
    ( spl0_24
    | ~ spl0_570
    | ~ spl0_9
    | ~ spl0_346
    | ~ spl0_6
    | spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6926,s6955,s6468,s6283,s681,s1649,s6507,s2002,s203,s7148,s6659,s8032,s6149,s5733,s4122,s7378,s8025,s8020,s4144,s1653,s8013,s19,s65,s3984,s37,s10,s7964,s5127,s2104,s7147,s8002,s7146,s2651]) ).

cnf(s8034,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s3011,s1870,s2718,s3494,s4228,s2747,s3798,s6198,s6258,s7380,s5222,s7378,s7997,s1208,s5617,s6264,s4146,s2524,s7975,s4828,s6173,s6964,s2696,s6283,s6956,s7525,s6962,s5573,s6769,s7006,s3673,s7337,s2900,s4251,s7148,s4485,s24,s1679,s8033,s2104,s7147,s8002,s7146,s6139,s10,s7964,s2669,s2651,s7955,s7933,s7617,s37,s3984,s15]) ).

cnf(s8035,plain,
    ( ~ spl0_23
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_37
    | ~ spl0_319
    | ~ spl0_16
    | ~ spl0_552
    | ~ spl0_20 ),
    inference(rat,[],[s1835,s5385,s2444,s6143,s1870,s5981,s4070,s6464,s1798,s3587,s6691,s7789,s6962,s1208,s3595,s2002]) ).

cnf(s8036,plain,
    ( spl0_306
    | ~ spl0_304
    | spl0_510
    | spl0_31
    | spl0_206
    | ~ spl0_196
    | ~ spl0_348 ),
    inference(rat,[],[s2721,s2012,s2122,s6396,s5014,s6957,s3276,s7774,s7337]) ).

cnf(s8037,plain,
    ( spl0_309
    | spl0_315
    | ~ spl0_47
    | ~ spl0_38
    | ~ spl0_63
    | ~ spl0_365
    | ~ spl0_62
    | ~ spl0_19 ),
    inference(rat,[],[s6230,s5288,s2444,s3011,s3587,s7789,s6033,s1208,s6962]) ).

cnf(s8038,plain,
    ( ~ spl0_87
    | ~ spl0_465
    | ~ spl0_393
    | ~ spl0_417
    | spl0_315
    | ~ spl0_47
    | ~ spl0_304
    | ~ spl0_365 ),
    inference(rat,[],[s6327,s5616,s7389,s319,s5368,s3168,s2281,s6171]) ).

cnf(s8039,plain,
    ( spl0_273
    | ~ spl0_145
    | ~ spl0_301
    | ~ spl0_304
    | ~ spl0_313
    | spl0_346 ),
    inference(rat,[],[s4233,s4800,s6405,s7351]) ).

cnf(s8040,plain,
    ( ~ spl0_304
    | spl0_510
    | ~ spl0_63
    | ~ spl0_365
    | spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4165,s7316,s171,s3109,s5395,s5629,s5854,s8039,s131,s465,s274,s307,s8038,s6232,s5988,s3334,s5632,s7381,s7382,s6682,s6181,s1716,s7383,s3904,s5175,s3806,s7380,s5409,s6400,s6957,s6889,s2645,s8037,s6962,s2721,s6446,s1241,s8036,s15,s7365,s2944,s2900,s1688,s65,s19,s1997,s2296,s7225,s3819,s2880,s6976,s4017,s6398,s8034,s1,s2154]) ).

cnf(s8041,plain,
    ( ~ spl0_99
    | ~ spl0_399
    | ~ spl0_465
    | ~ spl0_505
    | spl0_47
    | ~ spl0_200
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s175,s319,s3019,s3118,s3868,s171,s3168,s369,s274,s7364,s3819,s8034]) ).

cnf(s8042,plain,
    ( ~ spl0_86
    | spl0_184
    | spl0_99
    | ~ spl0_618
    | ~ spl0_193
    | ~ spl0_392
    | ~ spl0_367
    | ~ spl0_309 ),
    inference(rat,[],[s2170,s2596,s7389,s7334,s7351,s3340,s5518,s2650,s3977,s131]) ).

cnf(s8043,plain,
    ( ~ spl0_110
    | spl0_415
    | ~ spl0_163
    | spl0_495
    | ~ spl0_363
    | ~ spl0_505
    | ~ spl0_316 ),
    inference(rat,[],[s4626,s3118,s4296]) ).

cnf(s8044,plain,
    ( spl0_47
    | spl0_315
    | ~ spl0_301
    | ~ spl0_303
    | spl0_510
    | ~ spl0_383
    | ~ spl0_365
    | spl0_320
    | ~ spl0_37
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s6036,s7389,s4192,s7351,s3168,s7316,s5629,s370,s1226,s171,s8043,s2622,s319,s8042,s4930,s2634,s131,s8041,s5221,s7379,s5988,s3334,s5175,s3806,s7380,s3071,s5357,s6682,s6356,s3577,s7381,s5902,s5632,s7382,s5845,s6181,s7383,s5981,s3819,s8034,s2880,s7337,s3585,s6396,s2900,s6962,s6407]) ).

cnf(s8045,plain,
    ( spl0_411
    | ~ spl0_363
    | ~ spl0_301
    | spl0_484
    | ~ spl0_365 ),
    inference(rat,[],[s2677,s6100,s3541]) ).

cnf(s8046,plain,
    ( ~ spl0_87
    | ~ spl0_411
    | ~ spl0_417
    | ~ spl0_47
    | ~ spl0_421
    | spl0_315
    | ~ spl0_301 ),
    inference(rat,[],[s5616,s3063,s319,s6969,s2281,s6171]) ).

cnf(s8047,plain,
    ( ~ spl0_86
    | ~ spl0_100
    | spl0_184
    | ~ spl0_145
    | ~ spl0_367
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_309
    | ~ spl0_365
    | spl0_31
    | ~ spl0_313
    | ~ spl0_196 ),
    inference(rat,[],[s3587,s2444,s4499,s5332,s6031,s4241,s3109,s6037,s7351,s2389,s2650]) ).

cnf(s8048,plain,
    ( ~ spl0_363
    | ~ spl0_47
    | ~ spl0_309
    | ~ spl0_301
    | ~ spl0_303
    | ~ spl0_365
    | spl0_31
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s4192,s7316,s6036,s7351,s3019,s7389,s4142,s4850,s4626,s6969,s3063,s5616,s319,s8047,s4930,s131,s267,s465,s274,s307,s8046,s8045,s7381,s2675,s3806,s1688,s1982,s2880,s6976,s4017,s6398,s1,s7337,s3585,s2900,s6962,s2721,s2012,s7225,s3819,s8034]) ).

cnf(s8049,plain,
    ( ~ spl0_195
    | ~ spl0_379
    | ~ spl0_396
    | ~ spl0_193
    | ~ spl0_163
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_201
    | ~ spl0_200 ),
    inference(rat,[],[s6550,s5475,s5615,s2225,s1737,s2444,s538]) ).

cnf(s8050,plain,
    ( spl0_195
    | ~ spl0_511
    | ~ spl0_364
    | ~ spl0_466
    | ~ spl0_63
    | ~ spl0_62
    | ~ spl0_428
    | ~ spl0_19 ),
    inference(rat,[],[s3755,s5288,s7382,s6230,s4238]) ).

cnf(s8051,plain,
    ( ~ spl0_86
    | ~ spl0_367
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_309
    | ~ spl0_365
    | spl0_31
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s8047,s131,s465,s274,s307,s2281,s3819,s8034]) ).

cnf(s8052,plain,
    ( ~ spl0_99
    | spl0_86
    | ~ spl0_195
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_309
    | ~ spl0_51
    | ~ spl0_365
    | spl0_360
    | ~ spl0_201
    | ~ spl0_200
    | ~ spl0_196
    | spl0_1 ),
    inference(rat,[],[s8049,s6037,s7351,s3242,s1920,s2313,s163,s689,s274,s7364,s3819,s8034,s319]) ).

cnf(s8053,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | spl0_86
    | spl0_544
    | ~ spl0_309
    | ~ spl0_51
    | ~ spl0_365
    | ~ spl0_217
    | ~ spl0_200 ),
    inference(rat,[],[s4499,s7351,s6031,s1920,s2468,s163]) ).

cnf(s8054,plain,
    ( ~ spl0_365
    | spl0_24
    | ~ spl0_319
    | spl0_360
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3868,s3019,s171,s3807,s4173,s2054,s267,s114,s8053,s2634,s131,s8052,s2225,s319,s8051,s3577,s7381,s4649,s1726,s1798,s5357,s3587,s3545,s2444,s538,s8050,s3071,s6455,s7380,s8048,s8044,s6962,s7337,s2721,s3585,s2012,s6396,s6957,s3276,s6308,s6956,s8040,s53,s5290,s5028,s67,s8035,s6976,s4017,s6398,s1,s6960,s7365,s2944,s2900,s2154,s1688,s4708,s605,s1653,s6468,s681,s1982,s12,s3719,s5984,s5802,s65,s15,s2524,s1997,s2296,s7225,s3819,s8034]) ).

cnf(s8055,plain,
    ( spl0_306
    | spl0_465
    | ~ spl0_366
    | spl0_620
    | spl0_31
    | ~ spl0_62
    | spl0_360
    | spl0_206
    | ~ spl0_196
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_19 ),
    inference(rat,[],[s7689,s6455,s7382,s7380,s6181,s5222,s6240,s6956,s6396,s8036,s5290,s67,s7993,s6957,s3276,s7774,s7337,s2103,s1653,s1997]) ).

cnf(s8056,plain,
    ( ~ spl0_510
    | ~ spl0_305
    | ~ spl0_306
    | spl0_579
    | spl0_620
    | spl0_360
    | ~ spl0_239
    | ~ spl0_348 ),
    inference(rat,[],[s6308,s5077,s6956,s67,s4216,s5290]) ).

cnf(s8058,plain,
    ( spl0_309
    | ~ spl0_301
    | ~ spl0_306
    | spl0_579
    | spl0_620
    | spl0_360
    | ~ spl0_239
    | ~ spl0_348 ),
    inference(rat,[],[s8056,s6396,s1208]) ).

cnf(s8060,plain,
    ( ~ spl0_86
    | ~ spl0_418
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_315
    | ~ spl0_24
    | ~ spl0_199
    | ~ spl0_313
    | spl0_346 ),
    inference(rat,[],[s6406,s7316,s2076,s2039,s513,s307,s8039,s943,s4988,s3781,s6101]) ).

cnf(s8061,plain,
    ( ~ spl0_304
    | ~ spl0_301
    | ~ spl0_23
    | ~ spl0_55
    | spl0_38
    | ~ spl0_51
    | ~ spl0_315
    | spl0_223
    | spl0_306
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_24
    | spl0_370
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s2393,s6403,s171,s6969,s2468,s2278,s267,s8010,s131,s140,s257,s4785,s319,s8060,s5805,s7380,s5409,s7681,s6101,s6064,s6398,s1,s15,s7365,s2154,s1688,s6468,s681,s1982,s7225,s3819,s8034,s7337]) ).

cnf(s8062,plain,
    ( spl0_275
    | spl0_195
    | ~ spl0_465
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_199
    | ~ spl0_313 ),
    inference(rat,[],[s4192,s6036,s7316,s7389,s2039,s3168,s513,s307,s5332,s4241,s6037,s7351,s943]) ).

cnf(s8063,plain,
    ( ~ spl0_301
    | ~ spl0_23
    | ~ spl0_55
    | ~ spl0_51
    | spl0_223
    | ~ spl0_393
    | spl0_306
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s2393,s6403,s171,s6969,s2468,s2278,s267,s8010,s131,s140,s257,s4785,s319,s3781,s8062,s3334,s5632,s7382,s7381,s3088,s2675,s3806,s5707,s7380,s6099,s6855,s3772,s6308,s6956,s8061,s6064,s15,s7365,s1688,s605,s1653,s6468,s681,s1982,s7225,s3819,s2880,s6976,s4017,s6398,s8034,s1,s2154,s7337,s2721,s6691]) ).

cnf(s8064,plain,
    ( spl0_47
    | spl0_309
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6592,s7681,s5141,s3769,s3276,s6957,s8063,s22,s269,s6113,s342,s53,s6691,s2423,s2422,s6205,s7383,s7337,s5981,s6446,s7365,s2154,s7225,s3819,s2429,s1679,s6976,s4017,s6398,s8034,s1,s1208]) ).

cnf(s8065,plain,
    ( spl0_309
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3587,s3921,s7789,s6777,s6962,s1212,s8064,s1208,s1982,s6976,s4017,s6398,s8034,s1]) ).

cnf(s8066,plain,
    ( ~ spl0_86
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_465
    | ~ spl0_315
    | spl0_37
    | ~ spl0_309
    | ~ spl0_365
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_313
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4192,s6036,s7316,s7389,s2039,s3168,s513,s307,s8039,s7351,s1920,s3781,s2460,s3819,s8034]) ).

cnf(s8067,plain,
    ( ~ spl0_87
    | spl0_99
    | ~ spl0_417
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200 ),
    inference(rat,[],[s3497,s7351,s6403,s2196,s7316,s6969,s5248,s2468,s6171,s513,s6957,s3920,s131]) ).

cnf(s8068,plain,
    ( ~ spl0_304
    | ~ spl0_465
    | ~ spl0_363
    | ~ spl0_315
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4626,s1731,s6969,s6036,s6403,s3109,s5310,s2393,s5854,s171,s8039,s370,s307,s8067,s4930,s131,s4785,s319,s8066,s2944,s1688,s6468,s681,s2525,s3306,s8065,s1653,s7225,s3819,s1679,s6446,s5981,s1212,s6957,s3920,s3806,s2154,s6976,s4017,s6398,s8034,s1,s1982]) ).

cnf(s8069,plain,
    ( ~ spl0_324
    | ~ spl0_165
    | spl0_495
    | ~ spl0_367
    | ~ spl0_303
    | ~ spl0_363 ),
    inference(rat,[],[s2024,s3980,s4142,s4626]) ).

cnf(s8070,plain,
    ( ~ spl0_315
    | ~ spl0_58
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3109,s5854,s6403,s6397,s6969,s8069,s324,s2393,s171,s370,s4930,s8067,s131,s4785,s113,s319,s3781,s8062,s7381,s5902,s6956,s8068,s6957,s3334,s3920,s3806,s5632,s7380,s7382,s3059,s2492,s7383,s7337,s5981,s6446,s1212,s2944,s2154,s1688,s1653,s6468,s681,s1982,s7225,s3819,s6976,s4017,s6398,s8034,s1]) ).

cnf(s8071,plain,
    ( ~ spl0_304
    | ~ spl0_301
    | ~ spl0_429
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_24
    | ~ spl0_371 ),
    inference(rat,[],[s6552,s3806,s5409,s2081,s6101,s5014]) ).

cnf(s8072,plain,
    ( spl0_47
    | spl0_418
    | ~ spl0_303
    | ~ spl0_316
    | spl0_315
    | ~ spl0_58
    | spl0_37
    | ~ spl0_309
    | ~ spl0_365
    | spl0_370
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s8043,s2622,s319,s171,s8042,s370,s465,s4930,s8067,s131,s5230,s8041,s6682,s3577,s7381,s3806,s5902,s5632,s7380,s7382,s3059,s5845,s2492,s7312,s7383,s5981,s1653,s6468,s681,s1982,s7225,s3819,s6976,s4017,s6398,s8034,s1,s6962,s7337,s3734,s2900]) ).

cnf(s8073,plain,
    ( ~ spl0_86
    | ~ spl0_47
    | spl0_315
    | spl0_37
    | ~ spl0_309
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_24
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s5982,s7381,s3587,s3577,s4499,s3868,s6031,s171,s3019,s1659,s7351,s175,s1920,s267,s2460,s2281,s3819,s8034,s6962]) ).

cnf(s8074,plain,
    ( ~ spl0_87
    | spl0_99
    | spl0_306
    | ~ spl0_429
    | ~ spl0_58
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_24
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_371 ),
    inference(rat,[],[s3921,s4183,s3587,s1798,s4499,s3059,s7351,s7380,s2196,s3806,s6031,s5248,s8067,s2468,s513,s131]) ).

cnf(s8075,plain,
    ( ~ spl0_301
    | spl0_315
    | ~ spl0_58
    | ~ spl0_309
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | spl0_370
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s6550,s5982,s3577,s3587,s3868,s4499,s6031,s171,s7351,s3019,s1659,s4142,s4850,s2059,s267,s114,s8074,s4930,s131,s2622,s4785,s319,s8073,s8072,s3770,s4699,s3734,s6956,s8071,s6407,s2900,s1688,s6468,s681,s6976,s4017,s6398,s1,s2525,s3306,s1982,s1653,s7225,s3819,s8034,s1679,s6962]) ).

cnf(s8076,plain,
    ( spl0_47
    | ~ spl0_364
    | ~ spl0_58
    | ~ spl0_383
    | ~ spl0_20
    | ~ spl0_371 ),
    inference(rat,[],[s1796,s3059,s5981,s6446]) ).

cnf(s8077,plain,
    ( ~ spl0_87
    | spl0_99
    | ~ spl0_429
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200
    | ~ spl0_20 ),
    inference(rat,[],[s3168,s3921,s1731,s3587,s6036,s4499,s4192,s7351,s2196,s6031,s7316,s5248,s2468,s513,s131]) ).

cnf(s8078,plain,
    ( ~ spl0_396
    | ~ spl0_306
    | ~ spl0_94
    | spl0_184
    | spl0_420
    | ~ spl0_304
    | spl0_315
    | ~ spl0_309
    | ~ spl0_383
    | ~ spl0_365
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_371 ),
    inference(rat,[],[s5982,s7381,s3587,s3577,s4499,s3868,s6031,s171,s3019,s5979,s4850,s6969,s2640,s5373,s6962,s6543]) ).

cnf(s8079,plain,
    ( ~ spl0_273
    | spl0_420
    | ~ spl0_100
    | ~ spl0_304
    | ~ spl0_302
    | spl0_206
    | ~ spl0_196 ),
    inference(rat,[],[s6136,s2640,s7316,s6969,s3109,s4810,s5854,s2737,s6543,s4068]) ).

cnf(s8080,plain,
    ( ~ spl0_365
    | ~ spl0_31
    | ~ spl0_24
    | ~ spl0_319
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4260,s1798,s6953,s3059,s8078,s7351,s8079,s267,s465,s307,s8077,s4936,s131,s4785,s8073,s8076,s7380,s6955,s3806,s5141,s3920,s3276,s6957,s8075,s6962,s8070,s342,s22,s2525,s2002,s3306,s8065,s6976,s4017,s6398,s1,s7365,s2944,s2154,s1653,s6468,s681,s1982,s7225,s3819,s8034,s2429,s1679]) ).

cnf(s8081,plain,
    ( ~ spl0_315
    | spl0_386
    | ~ spl0_366
    | ~ spl0_24
    | ~ spl0_200
    | spl0_206
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s6553,s6747,s5850,s3342,s7312,s7383,s7337,s6766,s6446,s2535,s2536,s6113,s1212,s6468,s681,s1679]) ).

cnf(s8082,plain,
    ( spl0_383
    | ~ spl0_366
    | ~ spl0_217
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s4299,s1835,s1786,s7235,s3819,s8034]) ).

cnf(s8083,plain,
    ( ~ spl0_31
    | ~ spl0_24
    | ~ spl0_319
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3085,s6957,s5315,s3158,s3920,s2081,s7381,s6839,s6238,s4199,s4299,s1208,s7382,s7191,s2052,s5632,s3921,s5975,s8082,s3953,s4686,s7378,s8080,s4221,s2154,s4708,s605,s1653,s6468,s681,s1982,s7225,s3819,s8034]) ).

cnf(s8084,plain,
    ( ~ spl0_365
    | spl0_465
    | ~ spl0_305
    | spl0_315
    | spl0_370
    | ~ spl0_20
    | ~ spl0_5 ),
    inference(rat,[],[s3921,s3587,s6976,s7789,s4017,s6962]) ).

cnf(s8085,plain,
    ( ~ spl0_195
    | spl0_392
    | ~ spl0_387
    | ~ spl0_383
    | ~ spl0_429
    | ~ spl0_35 ),
    inference(rat,[],[s6682,s7381,s7383,s5999,s4260]) ).

cnf(s8087,plain,
    ( spl0_309
    | ~ spl0_301
    | spl0_315
    | spl0_579
    | spl0_620
    | spl0_360
    | ~ spl0_239
    | ~ spl0_348 ),
    inference(rat,[],[s7338,s6724,s8058,s1208]) ).

cnf(s8088,plain,
    ( spl0_24
    | ~ spl0_365
    | spl0_360
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5629,s2024,s171,s4499,s3868,s6031,s2634,s6119,s8052,s8051,s3577,s7381,s4649,s1726,s1798,s5357,s3587,s3545,s2444,s538,s3071,s8050,s6455,s7380,s8048,s7337,s8044,s3734,s6308,s6956,s8040,s53,s5290,s5028,s67,s6477,s5741,s8087,s6962,s6957,s6120,s5120,s1997,s2524,s6092,s5802,s8054,s5984,s2296,s65,s15,s6960,s7365,s2944,s2900,s2154,s1688,s1982,s605,s1653,s7225,s3819,s6976,s4017,s6398,s8034,s1]) ).

cnf(s8089,plain,
    ( ~ spl0_315
    | ~ spl0_31
    | ~ spl0_24
    | ~ spl0_365
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s22,s342,s5698,s8070,s2721,s1653,s7225,s3819,s8034,s8065]) ).

cnf(s8090,plain,
    ( spl0_47
    | ~ spl0_513
    | spl0_418
    | ~ spl0_421
    | ~ spl0_303
    | spl0_315
    | spl0_319
    | ~ spl0_365
    | spl0_370
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s6646,s370,s3868,s8077,s6119,s8041,s3577,s7381,s5632,s2675,s7382,s7380,s3088,s6855,s5845,s7383,s5981,s1653,s6468,s681,s1982,s7225,s3819,s2880,s6976,s4017,s6398,s8034,s1,s6962]) ).

cnf(s8091,plain,
    ( ~ spl0_31
    | ~ spl0_24
    | ~ spl0_365
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6550,s5982,s3577,s3587,s3868,s4499,s171,s7351,s1659,s4142,s4850,s2059,s267,s114,s6031,s4930,s8077,s6119,s131,s2622,s4785,s319,s8073,s8090,s5707,s6099,s3770,s7337,s4699,s3734,s6956,s8071,s6962,s8089,s2525,s6957,s3306,s5120,s8065,s8083,s2944,s2900,s2154,s1688,s1653,s6468,s681,s1982,s7225,s3819,s6976,s4017,s6398,s8034,s1,s1679]) ).

cnf(s8092,plain,
    ( ~ spl0_365
    | spl0_360
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s8084,s6777,s1208,s3306,s2536,s280,s2524,s8091,s8088,s6398,s1,s1653,s6468,s681,s1982,s7225,s3819,s8034]) ).

cnf(s8093,plain,
    ( ~ spl0_302
    | ~ spl0_429
    | ~ spl0_37
    | ~ spl0_362
    | ~ spl0_468
    | ~ spl0_387
    | ~ spl0_366
    | spl0_360
    | ~ spl0_200
    | spl0_206
    | ~ spl0_196
    | ~ spl0_13
    | ~ spl0_348
    | spl0_346 ),
    inference(rat,[],[s2688,s5613,s7381,s1835,s6114,s5999,s4299,s6955,s6839,s4072,s5141,s3920,s3276,s6468,s681]) ).

cnf(s8094,plain,
    ( spl0_24
    | ~ spl0_468
    | ~ spl0_366
    | spl0_360
    | spl0_370
    | ~ spl0_196
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5290,s67,s6181,s6477,s6240,s5741,s8087,s6957,s8093,s6962,s2721,s1241,s8055,s1997,s2524,s6092,s5802,s2296,s65,s15,s7365,s2944,s1688,s605,s1653,s5975,s7382,s5632,s3953,s8082,s6468,s681,s1982,s7225,s3819,s8034,s2154]) ).

cnf(s8095,plain,
    ( spl0_360
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6724,s6957,s7337,s3920,s2081,s6839,s8085,s1208,s6962,s2429,s2052,s8081,s1679,s8094,s7382,s2718,s5632,s3921,s5975,s8082,s3953,s4686,s7378,s8092,s2944,s2154,s6468,s681,s1982,s7225,s3819,s8034]) ).

cnf(s8096,plain,
    ( ~ spl0_315
    | spl0_579
    | spl0_31
    | ~ spl0_304
    | ~ spl0_200
    | spl0_206
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_348 ),
    inference(rat,[],[s4216,s1208,s8036,s2012,s6446,s2721,s1212]) ).

cnf(s8097,plain,
    ( spl0_510
    | ~ spl0_365
    | spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s67,s6453,s8040,s8036,s2154,s6955,s5100,s8095,s2103,s1653,s7225,s7365,s2296,s3819,s8034]) ).

cnf(s8098,plain,
    ( ~ spl0_309
    | ~ spl0_429
    | spl0_31
    | ~ spl0_304
    | ~ spl0_360
    | spl0_206
    | spl0_493 ),
    inference(rat,[],[s6889,s2140,s6400,s7525,s2680,s2012,s1997]) ).

cnf(s8099,plain,
    ( ~ spl0_99
    | ~ spl0_223
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_200
    | spl0_1 ),
    inference(rat,[],[s6266,s6174,s7364,s3819,s8034]) ).

cnf(s8100,plain,
    ( spl0_24
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5281,s4263,s6543,s4969,s4936,s131,s8099,s6865,s1835,s4299,s4256,s6444,s7382,s5731,s2718,s5632,s3921,s7380,s8082,s3953,s4866,s3276,s2680,s7378,s6957,s1241,s8097,s6396,s8036,s4216,s1208,s8098,s6962,s8096,s6092,s2296,s65,s2944,s2900,s2154,s1688,s6468,s681,s1982,s6955,s5100,s8095,s2103,s1653,s7225,s7365,s3819,s8034]) ).

cnf(s8101,plain,
    ( ~ spl0_365
    | spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s8084,s6777,s1208,s3306,s2536,s280,s2524,s8091,s6398,s1,s1653,s6468,s681,s1982,s7225,s3819,s8034,s8100]) ).

cnf(s8102,plain,
    ( spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s7321,s5014,s3920,s2081,s6839,s7382,s8085,s6962,s5632,s3921,s8081,s5975,s8082,s3953,s4686,s7378,s8101,s2429,s1679,s8100,s6955,s5100,s8095,s6468,s2103,s681,s1653,s1982,s7225,s7365,s2944,s3819,s8034,s2154]) ).

cnf(s8103,plain,
    ( spl0_223
    | ~ spl0_363
    | ~ spl0_418
    | ~ spl0_360
    | spl0_38
    | spl0_31
    | spl0_323 ),
    inference(rat,[],[s1796,s7692,s1727,s1835,s7337,s1241]) ).

cnf(s8104,plain,
    ( ~ spl0_200
    | ~ spl0_417
    | ~ spl0_315
    | ~ spl0_365
    | spl0_620
    | spl0_31
    | spl0_327
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s3088,s7382,s7383,s3334,s5981,s5988,s7235,s8103,s7380,s5409,s5707,s7681,s6101,s5892,s6955,s5100,s5290,s6396,s1208,s6957,s5617,s3920,s1212,s3819,s8034,s67,s5579,s3841,s7337,s1241,s2721]) ).

cnf(s8105,plain,
    ( ~ spl0_315
    | ~ spl0_365
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5100,s5290,s6956,s6396,s7764,s6957,s3276,s7774,s2012,s2827,s8104,s6093,s259,s79,s53,s7337,s5028,s67,s1241,s5579,s2721,s6960,s7365,s2944,s2154,s2108,s3841,s8102,s2296,s3819,s8034,s5984,s5802,s65,s15]) ).

cnf(s8106,plain,
    ( ~ spl0_306
    | spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_24
    | ~ spl0_20
    | ~ spl0_371
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s6143,s4070,s7379,s67,s2444,s8037,s6446,s1241,s15,s65,s2524,s2296,s3819,s8034,s3587,s7789,s6962,s1798,s6691,s1208]) ).

cnf(s8107,plain,
    ( spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_24
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_371
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3920,s2611,s2827,s6592,s7681,s4072,s7774,s3276,s6957,s6724,s7337,s8106,s1208,s7365,s2944,s2524,s2296,s3819,s8034]) ).

cnf(s8109,plain,
    ( ~ spl0_86
    | spl0_495
    | ~ spl0_100
    | ~ spl0_418
    | ~ spl0_607
    | spl0_31
    | ~ spl0_196 ),
    inference(rat,[],[s2395,s6406,s3109,s5000,s2389]) ).

cnf(s8110,plain,
    ( spl0_87
    | spl0_417
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_607
    | ~ spl0_200
    | ~ spl0_371
    | ~ spl0_13 ),
    inference(rat,[],[s2395,s6406,s6066,s2542,s267]) ).

cnf(s8111,plain,
    ( ~ spl0_195
    | ~ spl0_411
    | ~ spl0_368
    | ~ spl0_361
    | ~ spl0_393
    | ~ spl0_607
    | ~ spl0_200
    | ~ spl0_47
    | spl0_315
    | ~ spl0_365
    | ~ spl0_371
    | ~ spl0_13 ),
    inference(rat,[],[s6327,s5616,s7389,s319,s3168,s2281,s8110,s5633,s3334]) ).

cnf(s8112,plain,
    ( ~ spl0_306
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_24
    | spl0_320
    | ~ spl0_370
    | ~ spl0_196
    | spl0_493
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s7354,s4653,s5988,s3497,s7316,s6403,s3019,s6969,s3807,s4626,s1731,s6327,s5616,s319,s8109,s4930,s131,s267,s274,s8038,s5632,s3806,s1786,s8111,s8045,s5225,s1743,s7381,s6682,s5207,s7382,s6181,s5290,s7383,s67,s3576,s3904,s5077,s7380,s5712,s2680,s6955,s6957,s5409,s6400,s3585,s2645,s6889,s1241,s7365,s2944,s2154,s2296,s3819,s8034,s5802,s65,s15,s6962]) ).

cnf(s8114,plain,
    ( ~ spl0_86
    | spl0_99
    | spl0_544
    | ~ spl0_309
    | ~ spl0_365
    | spl0_31
    | ~ spl0_196 ),
    inference(rat,[],[s4499,s6031,s7351,s3109,s2650,s2389,s131,s2634,s2524]) ).

cnf(s8116,plain,
    ( ~ spl0_99
    | ~ spl0_206
    | ~ spl0_51
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | spl0_1 ),
    inference(rat,[],[s163,s2281,s5021,s274,s7362,s3819,s8034]) ).

cnf(s8117,plain,
    ( ~ spl0_87
    | ~ spl0_100
    | ~ spl0_219
    | ~ spl0_417
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_47
    | spl0_315
    | ~ spl0_365 ),
    inference(rat,[],[s3541,s2479,s8046]) ).

cnf(s8118,plain,
    ( spl0_99
    | ~ spl0_367
    | ~ spl0_219
    | spl0_392
    | ~ spl0_381
    | ~ spl0_417
    | ~ spl0_303
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_47
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_31
    | ~ spl0_196
    | spl0_323 ),
    inference(rat,[],[s4121,s171,s4142,s5629,s2167,s114,s8117,s2225,s319,s4930,s8114,s2634,s131,s2524,s5744,s3587,s6962]) ).

cnf(s8119,plain,
    ( spl0_383
    | ~ spl0_417
    | ~ spl0_303
    | ~ spl0_301
    | ~ spl0_51
    | spl0_360
    | ~ spl0_421
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_31
    | ~ spl0_196
    | ~ spl0_13
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s8052,s1653,s2281,s8116,s274,s8118,s7381,s5708,s1798,s6747,s7382,s6307,s3334,s2444,s538,s2202,s1786,s7235,s1724,s3819,s8034,s6962]) ).

cnf(s8120,plain,
    ( spl0_273
    | spl0_375
    | ~ spl0_367
    | ~ spl0_365 ),
    inference(rat,[],[s5475,s6037,s7351]) ).

cnf(s8121,plain,
    ( spl0_99
    | ~ spl0_367
    | spl0_392
    | ~ spl0_303
    | ~ spl0_512
    | ~ spl0_309
    | ~ spl0_429
    | ~ spl0_365
    | spl0_31
    | ~ spl0_196
    | spl0_323 ),
    inference(rat,[],[s4121,s171,s4142,s5629,s8120,s2225,s319,s4930,s8114,s2634,s131,s2524,s3587]) ).

cnf(s8122,plain,
    ( ~ spl0_250
    | spl0_392
    | ~ spl0_417
    | ~ spl0_303
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_31
    | ~ spl0_370
    | ~ spl0_196
    | spl0_323
    | spl0_1 ),
    inference(rat,[],[s3541,s8046,s2179,s274,s7364,s8121,s7381,s5801,s3819,s8034,s6962,s5744]) ).

cnf(s8123,plain,
    ( ~ spl0_99
    | spl0_544
    | ~ spl0_51
    | ~ spl0_224
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | ~ spl0_365
    | spl0_1 ),
    inference(rat,[],[s2024,s4499,s1920,s6031,s163,s2281,s5732,s274,s7364,s3819,s8034]) ).

cnf(s8124,plain,
    ( spl0_392
    | ~ spl0_383
    | ~ spl0_303
    | ~ spl0_301
    | ~ spl0_51
    | ~ spl0_421
    | ~ spl0_200
    | ~ spl0_47
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_31
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_371
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4238,s7382,s7380,s5902,s2675,s7381,s8121,s8123,s538,s2631,s8122,s3587,s6960,s2944,s3819,s8034,s6962,s3072,s681,s5744,s2611,s2880]) ).

cnf(s8125,plain,
    ( ~ spl0_87
    | ~ spl0_367
    | ~ spl0_465
    | ~ spl0_417
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_47
    | spl0_315 ),
    inference(rat,[],[s6331,s3168,s8046]) ).

cnf(s8126,plain,
    ( spl0_273
    | spl0_192
    | spl0_553
    | ~ spl0_94
    | ~ spl0_386
    | ~ spl0_365
    | ~ spl0_198 ),
    inference(rat,[],[s4192,s6036,s7316,s7389,s6063,s2488,s272,s5369,s6037,s7351]) ).

cnf(s8127,plain,
    ( ~ spl0_301
    | ~ spl0_51
    | spl0_306
    | ~ spl0_200
    | ~ spl0_309
    | spl0_315
    | ~ spl0_365
    | spl0_31
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4121,s171,s4142,s5629,s8126,s3011,s160,s319,s4930,s8042,s131,s4658,s267,s465,s274,s307,s8125,s6143,s5221,s7379,s5988,s7381,s3921,s2444,s5982,s8124,s8119,s2611,s6956,s5744,s5014,s2944,s3819,s8034,s3841,s2524,s5617,s7337,s7649,s8102,s2154,s6962]) ).

cnf(s8128,plain,
    ( ~ spl0_200
    | ~ spl0_365
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6592,s7525,s2611,s4072,s3920,s3276,s6957,s8127,s53,s1660,s7419,s7337,s8112,s7365,s2900,s5785,s2524,s2296,s3819,s8034,s6962,s5617,s8107,s8105,s2154,s8102]) ).

cnf(s8129,plain,
    ( spl0_383
    | ~ spl0_501
    | ~ spl0_368
    | ~ spl0_443
    | ~ spl0_309
    | ~ spl0_365
    | spl0_24
    | spl0_1 ),
    inference(rat,[],[s7383,s5708,s5357,s2202,s3195,s7235,s65,s2296,s3819,s8034]) ).

cnf(s8130,plain,
    ( ~ spl0_383
    | ~ spl0_303
    | spl0_203
    | ~ spl0_63
    | ~ spl0_424
    | ~ spl0_368
    | spl0_306
    | ~ spl0_371 ),
    inference(rat,[],[s5288,s6455,s5295,s7380,s7382,s2675,s5902,s3073,s2880,s7337]) ).

cnf(s8131,plain,
    ( ~ spl0_365
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3545,s2444,s8129,s1786,s8130,s6956,s8036,s5290,s4644,s67,s2669,s7381,s6477,s7649,s3577,s5741,s6903,s3599,s7353,s2827,s6964,s8128,s5617,s8107,s6962,s8105,s6960,s7365,s2900,s2154,s5785,s8102,s5802,s65,s15,s2524,s2296,s3819,s8034]) ).

cnf(s8132,plain,
    ( spl0_383
    | ~ spl0_418
    | ~ spl0_360
    | ~ spl0_510
    | spl0_38
    | spl0_24
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5289,s7383,s7380,s1727,s8103,s3432,s7235,s1724,s2944,s65,s2296,s3819,s8034]) ).

cnf(s8133,plain,
    ( ~ spl0_200
    | ~ spl0_417
    | ~ spl0_315
    | ~ spl0_366
    | spl0_24
    | spl0_327
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s1796,s7695,s5981,s8132,s7681,s6955,s5100,s5290,s6396,s1208,s6957,s5617,s3920,s3953,s1212,s5802,s65,s15,s67,s5579,s3841,s7337,s1241,s2721,s2296,s2944,s3819,s8034]) ).

cnf(s8134,plain,
    ( ~ spl0_315
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5100,s5290,s6956,s6396,s7764,s6957,s3276,s7774,s2012,s2827,s8133,s6093,s259,s79,s53,s7337,s5028,s67,s1241,s5579,s2721,s6960,s7365,s2944,s2154,s2108,s3841,s8102,s2296,s3819,s8034,s5984,s5802,s65,s15,s7378,s8131]) ).

cnf(s8135,plain,
    ( ~ spl0_418
    | ~ spl0_38
    | ~ spl0_306
    | spl0_309
    | spl0_620
    | spl0_31
    | ~ spl0_196
    | ~ spl0_348 ),
    inference(rat,[],[s5290,s6396,s67,s6957,s5077,s3276,s5712,s2680]) ).

cnf(s8136,plain,
    ( spl0_383
    | ~ spl0_533
    | ~ spl0_47
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_13 ),
    inference(rat,[],[s3160,s7381,s2718,s6257,s2444,s1786,s1724]) ).

cnf(s8137,plain,
    ( ~ spl0_304
    | spl0_418
    | ~ spl0_47
    | ~ spl0_200
    | spl0_315
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_13
    | spl0_346 ),
    inference(rat,[],[s6839,s7382,s4284,s4124,s8136,s3920,s6957,s5004,s5611,s5894,s6962,s3072,s681,s7006]) ).

cnf(s8138,plain,
    ( spl0_383
    | ~ spl0_34
    | ~ spl0_510
    | ~ spl0_364
    | spl0_360
    | ~ spl0_62
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s2294,s1798,s1870,s5289,s1835,s3494,s3432,s7235,s5795,s1724,s15,s3819,s8034,s6258]) ).

cnf(s8139,plain,
    ( ~ spl0_303
    | ~ spl0_200
    | spl0_309
    | ~ spl0_366
    | spl0_31
    | ~ spl0_62
    | spl0_327
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_371
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6553,s4238,s5632,s4284,s8138,s6461,s67,s5290,s6396,s6957,s7380,s3920,s5222,s2611,s5100,s6960,s5802,s15,s3953,s3072,s681]) ).

cnf(s8140,plain,
    ( spl0_383
    | ~ spl0_432
    | ~ spl0_304
    | ~ spl0_200
    | spl0_309
    | ~ spl0_429
    | ~ spl0_366
    | spl0_620
    | spl0_31
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_13
    | ~ spl0_348
    | spl0_1 ),
    inference(rat,[],[s7321,s5014,s3276,s8135,s5712,s1727,s5611,s1798,s3160,s6682,s2718,s7381,s6143,s6257,s1835,s1786,s7235,s1724,s3819,s8034,s2524,s4686]) ).

cnf(s8141,plain,
    ( ~ spl0_200
    | spl0_309
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5014,s3904,s6957,s7380,s3920,s4238,s6839,s1798,s7382,s7695,s5632,s4284,s8140,s5894,s6955,s8139,s3072,s3953,s681,s6960,s7365,s2900,s2154,s2108,s8102,s2296,s3819,s8034,s5802,s65,s15,s7378,s8131,s6962,s8134,s1208]) ).

cnf(s8142,plain,
    ( spl0_383
    | ~ spl0_478
    | spl0_360
    | ~ spl0_552
    | ~ spl0_366
    | spl0_1 ),
    inference(rat,[],[s4199,s1870,s1835,s3494,s7235,s5795,s15,s3819,s8034]) ).

cnf(s8143,plain,
    ( ~ spl0_99
    | ~ spl0_250
    | ~ spl0_362
    | spl0_192
    | ~ spl0_364
    | spl0_1 ),
    inference(rat,[],[s4263,s2179,s5282,s274,s7364,s3819,s8034]) ).

cnf(s8144,plain,
    ( ~ spl0_302
    | ~ spl0_552
    | ~ spl0_366
    | spl0_327
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_371
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s5281,s4263,s6543,s6231,s4936,s8143,s2631,s1835,s538,s6865,s4238,s4432,s7382,s1870,s4124,s1840,s8142,s6258,s7380,s4866,s2828,s3276,s6960,s7365,s3819,s8034,s3841,s4686]) ).

cnf(s8145,plain,
    ( spl0_309
    | spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s67,s5077,s5942,s5141,s5100,s2140,s5321,s6956,s6724,s6396,s7764,s6957,s8144,s4708,s2827,s8141,s1208,s6960,s7365,s3819,s8034,s2154,s2108,s8102,s65,s7378,s8131,s8134]) ).

cnf(s8146,plain,
    ( ~ spl0_195
    | ~ spl0_200
    | ~ spl0_393
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_366
    | ~ spl0_370 ),
    inference(rat,[],[s6682,s7381,s2444,s6257]) ).

cnf(s8147,plain,
    ( ~ spl0_200
    | ~ spl0_393
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_13 ),
    inference(rat,[],[s6682,s7381,s3921,s5640,s1786,s8146,s3953]) ).

cnf(s8148,plain,
    ( spl0_24
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s7379,s5850,s3334,s7382,s6181,s5290,s6836,s67,s6957,s6477,s8144,s7649,s5741,s4708,s6903,s7353,s2827,s8147,s7383,s6240,s5617,s8145,s6962,s8134,s4686,s7378,s8131,s2524,s5802,s2296,s65,s15,s6960,s2944,s3819,s8034,s2900,s2154,s2108,s5785,s8102]) ).

cnf(s8149,plain,
    ( ~ spl0_365
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_13
    | ~ spl0_348
    | spl0_1 ),
    inference(rat,[],[s5141,s6956,s3276,s2893,s6957,s6182,s5476,s3622,s7337,s4137,s7381,s7382,s6446,s1998,s6260,s5633,s2444,s1835,s1786,s7235,s3921,s1798,s3587,s6691,s7789,s6033,s3819,s8034,s6777,s1208,s2514,s2429,s1679,s6962,s4109,s3072,s681]) ).

cnf(s8150,plain,
    ( spl0_383
    | spl0_386
    | ~ spl0_366
    | spl0_315
    | ~ spl0_200
    | ~ spl0_24
    | ~ spl0_370
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s1796,s6682,s1998,s6184,s280,s6182,s7381,s6468,s6257,s1835,s8082,s1786,s7235,s3819,s8034,s681,s6962]) ).

cnf(s8151,plain,
    ( ~ spl0_200
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6724,s6957,s7337,s3920,s2081,s6839,s7382,s4284,s5632,s8150,s4686,s7378,s8149,s6777,s4109,s1208,s3072,s2514,s681,s7365,s3819,s8034,s2154,s8102,s2429,s1679,s8148]) ).

cnf(s8152,plain,
    ( ~ spl0_301
    | ~ spl0_367
    | ~ spl0_195
    | ~ spl0_511
    | ~ spl0_305
    | spl0_200
    | ~ spl0_24
    | ~ spl0_13
    | spl0_346 ),
    inference(rat,[],[s5405,s7382,s7337,s3334,s2081,s3179,s6836]) ).

cnf(s8153,plain,
    ( ~ spl0_302
    | ~ spl0_305
    | ~ spl0_315
    | spl0_206
    | spl0_320
    | ~ spl0_196
    | ~ spl0_348 ),
    inference(rat,[],[s6592,s7681,s7337,s5141,s3769,s6062,s3276,s6113]) ).

cnf(s8154,plain,
    ( ~ spl0_195
    | ~ spl0_511
    | ~ spl0_301
    | ~ spl0_387
    | spl0_200
    | ~ spl0_24
    | ~ spl0_13
    | spl0_346 ),
    inference(rat,[],[s6550,s8152,s5999,s1208,s2052]) ).

cnf(s8156,plain,
    ( spl0_99
    | ~ spl0_392
    | ~ spl0_527
    | ~ spl0_193
    | spl0_31
    | ~ spl0_51
    | ~ spl0_487
    | spl0_38 ),
    inference(rat,[],[s3117,s3340,s7316,s171,s3986,s3637,s160,s145,s131]) ).

cnf(s8157,plain,
    ( ~ spl0_365
    | spl0_31
    | spl0_418
    | spl0_360
    | ~ spl0_301
    | ~ spl0_63
    | ~ spl0_487
    | spl0_38
    | ~ spl0_387
    | spl0_200
    | ~ spl0_35
    | ~ spl0_24
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s2677,s5296,s5328,s171,s144,s4874,s3731,s274,s7364,s8156,s6333,s5630,s3154,s7381,s5902,s3755,s7380,s7382,s5357,s6855,s3088,s7383,s1727,s2880,s7379,s5988,s1786,s2952,s8154,s6033,s2154,s6964,s6396,s5141,s6956,s7764,s6960,s7365,s2827,s3819,s8034,s53,s5022,s1208,s2052,s5707,s6099,s7337,s2081,s6836]) ).

cnf(s8158,plain,
    ( ~ spl0_315
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s1796,s6855,s1727,s7380,s5988,s5222,s7560,s7378,s8157,s342,s5024,s2670,s5100,s7337,s6956,s2081,s7764,s6836,s6957,s8153,s1208,s22,s67,s2052,s6113,s5579,s2721,s5573,s6960,s7365,s2108,s3841,s5785,s8102,s2429,s1679,s8148,s2827,s8151,s3819,s8034]) ).

cnf(s8159,plain,
    ( ~ spl0_365
    | spl0_309
    | spl0_315
    | spl0_206
    | spl0_200
    | ~ spl0_24
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_348
    | spl0_346 ),
    inference(rat,[],[s5141,s3276,s6956,s6957,s2893,s8152,s5476,s7382,s7337,s7381,s5633,s6446,s6260,s4183,s2444,s1798,s5242,s3587,s6691,s7789,s6033,s2154,s6964,s6962,s1208]) ).

cnf(s8160,plain,
    ( spl0_309
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s7338,s2081,s6724,s6836,s6957,s8144,s7378,s8159,s1208,s7365,s2154,s2108,s8102,s8148,s4708,s2827,s8151,s3819,s8034,s8158]) ).

cnf(s8161,plain,
    ( ~ spl0_99
    | spl0_37
    | ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s7329,s274,s3819,s8034]) ).

cnf(s8162,plain,
    ( spl0_310
    | spl0_184
    | ~ spl0_399
    | spl0_544
    | ~ spl0_365
    | ~ spl0_309 ),
    inference(rat,[],[s5629,s2024,s171,s4499,s3868,s6031]) ).

cnf(s8163,plain,
    ( ~ spl0_195
    | ~ spl0_301
    | ~ spl0_365
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6311,s171,s4935,s7334,s1226,s3109,s6262,s8162,s267,s465,s8117,s131,s8161,s5405,s6455,s7380,s4661,s2525,s3770,s1998,s4031,s3577,s6307,s1835,s6892,s7381,s7235,s1724,s6260,s4260,s1798,s6747,s3587,s2718,s7382,s2444,s3334,s538,s2944,s3819,s8034,s6962,s8158,s5635,s7337,s7890,s8160,s5785,s8102,s2429,s1679,s8148,s2900,s2154,s6960,s6836,s8151]) ).

cnf(s8164,plain,
    ( ~ spl0_368
    | ~ spl0_383
    | ~ spl0_303
    | ~ spl0_512
    | ~ spl0_309
    | ~ spl0_24
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_371 ),
    inference(rat,[],[s3083,s7383,s7382,s2718,s4183,s5902,s5982,s5640]) ).

cnf(s8165,plain,
    ( spl0_87
    | ~ spl0_399
    | ~ spl0_367
    | spl0_195
    | ~ spl0_365
    | ~ spl0_309
    | spl0_206
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_1 ),
    inference(rat,[],[s5854,s3109,s8120,s8162,s131,s4631,s465,s274,s307,s3819,s8034,s5242]) ).

cnf(s8166,plain,
    ( ~ spl0_301
    | ~ spl0_365
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s3578,s142,s2755,s4357,s6100,s3541,s8125,s8046,s8165,s3577,s7381,s8164,s1786,s8163,s6956,s5744,s7764,s6836,s2108,s6964,s2827,s8151,s3819,s8034,s8158,s5635,s7337,s7890,s8160,s5785,s8102,s2429,s1679,s8148,s2900,s2154,s6960]) ).

cnf(s8167,plain,
    ( ~ spl0_544
    | ~ spl0_47
    | ~ spl0_429
    | ~ spl0_443 ),
    inference(rat,[],[s2444,s5242,s3587]) ).

cnf(s8168,plain,
    ( ~ spl0_365
    | ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s4935,s3109,s6969,s6031,s2640,s4499,s5373,s7351,s8079,s6543,s4936,s131,s8161,s4072,s7525,s6955,s5141,s3276,s6957,s8166,s7365,s2944,s2827,s3819,s8034,s7337,s7890,s5785,s2429,s1679,s2900,s2154,s6960,s8167,s5635,s8160,s8102,s8148,s6962,s8158,s6964,s8151]) ).

cnf(s8169,plain,
    ( ~ spl0_196
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s6747,s7382,s2444,s7383,s5850,s1742,s1760,s6240,s4686,s7378,s8168,s7337,s7890,s2052,s5635,s8160,s2429,s1679,s8148,s5785,s8102,s6960,s2944,s3819,s8034,s2900,s2154]) ).

cnf(s8170,plain,
    ( ~ spl0_301
    | ~ spl0_376
    | ~ spl0_393
    | ~ spl0_421
    | ~ spl0_315
    | ~ spl0_195
    | spl0_327
    | ~ spl0_383
    | spl0_579
    | spl0_309
    | ~ spl0_371 ),
    inference(rat,[],[s6552,s6855,s3806,s2670,s3334,s6956,s7382,s4216,s2222,s6396,s1208]) ).

cnf(s8171,plain,
    ( ~ spl0_315
    | ~ spl0_195
    | ~ spl0_383
    | spl0_579
    | ~ spl0_200
    | spl0_206
    | ~ spl0_313
    | ~ spl0_365
    | spl0_309
    | ~ spl0_25
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_348 ),
    inference(rat,[],[s6552,s6855,s3806,s3769,s3920,s6957,s8170,s1716,s7383,s7337,s5981,s6446,s6113,s1212,s2103,s1653]) ).

cnf(s8172,plain,
    ( ~ spl0_195
    | ~ spl0_383
    | spl0_579
    | ~ spl0_200
    | spl0_206
    | ~ spl0_313
    | ~ spl0_365
    | spl0_309
    | ~ spl0_25
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_348 ),
    inference(rat,[],[s5981,s2444,s1798,s3587,s6691,s7789,s6962,s8171,s1208]) ).

cnf(s8173,plain,
    ( ~ spl0_315
    | ~ spl0_386
    | ~ spl0_368
    | spl0_619
    | spl0_223
    | ~ spl0_383
    | ~ spl0_201
    | spl0_340
    | ~ spl0_200
    | ~ spl0_511
    | spl0_31
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_371
    | ~ spl0_348 ),
    inference(rat,[],[s6114,s6955,s5752,s6218,s6847,s7382,s67,s6747,s5288,s7383,s7337,s5221,s4726,s5981,s6446,s5619,s6120,s1212,s6232]) ).

cnf(s8174,plain,
    ( spl0_370
    | ~ spl0_365
    | spl0_309
    | spl0_24
    | ~ spl0_20
    | ~ spl0_13
    | spl0_346
    | spl0_1 ),
    inference(rat,[],[s1727,s1798,s7788,s6691,s7789,s6962,s8173,s6200,s7381,s5476,s6439,s6230,s7379,s5988,s8172,s6976,s1653,s6092,s4017,s5509,s1982,s7225,s1688,s15,s6398,s1,s7365,s2154,s5127,s8169,s65,s19,s2296,s3819,s8034,s1208,s6033]) ).

cnf(s8178,plain,
    ( spl0_377
    | spl0_527
    | ~ spl0_367
    | ~ spl0_365 ),
    inference(rat,[],[s5357,s6356,s7383]) ).

cnf(s8180,plain,
    ( spl0_192
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_345 ),
    inference(rat,[],[s4358,s4316,s1870]) ).

cnf(s8181,plain,
    ( ~ spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_203
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5428,s3587,s5018,s7789,s6962,s6182,s4109,s2353,s5642,s3072,s2219,s681,s1208,s3296]) ).

cnf(s8182,plain,
    ( spl0_11
    | spl0_192
    | spl0_23
    | ~ spl0_377
    | spl0_38 ),
    inference(rat,[],[s1727,s6467,s5018]) ).

cnf(s8183,plain,
    ( spl0_315
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s7882,s7304,s3523,s2669,s5950,s2651,s6267,s4766,s5642,s1653,s3041,s8182,s5120,s6957,s67,s3865,s4183,s7576,s4477,s1798,s8167,s3587,s6691,s7789,s6962,s83,s1872,s1208,s6033,s3296,s6955,s3199,s6964,s8181,s539]) ).

cnf(s8184,plain,
    ( spl0_11
    | spl0_23
    | ~ spl0_315
    | ~ spl0_304
    | spl0_309
    | spl0_319
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s6396,s6957,s4216,s5120,s4647,s4828,s1653,s2651,s6120,s2353,s5018,s1208,s67]) ).

cnf(s8185,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | ~ spl0_28
    | ~ spl0_344
    | ~ spl0_443
    | ~ spl0_304
    | ~ spl0_305
    | spl0_319
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s5027,s6957,s2520,s5120,s5020,s6947,s342]) ).

cnf(s8186,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7366,s6270,s6120,s2353,s2524,s8185,s8184,s22,s5579,s2535,s8183,s6964,s8181,s6955,s1208,s3199,s3841,s3296,s1872,s2429,s1679,s83,s539]) ).

cnf(s8187,plain,
    ( spl0_315
    | ~ spl0_30
    | spl0_37
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s6800,s7304,s7315,s37,s4437,s2520,s6468,s4708,s5020,s7264,s6182,s342,s5018,s22,s2444,s4477,s1798,s3587,s6691,s7789,s6962,s681,s6955,s5503,s1208,s3825]) ).

cnf(s8188,plain,
    ( ~ spl0_196
    | ~ spl0_13
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5409,s6101,s7380,s6957,s5843,s5123,s2879,s1798,s5020,s2423,s342,s22,s2535,s3695,s8187,s1208,s1922,s2351,s2353,s6955,s3825,s2219,s5503,s1982,s8186,s2429,s1679]) ).

cnf(s8190,plain,
    ( ~ spl0_305
    | spl0_315
    | ~ spl0_345
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s3865,s1798,s3584,s6691,s7789]) ).

cnf(s8191,plain,
    ( spl0_315
    | ~ spl0_370
    | spl0_196
    | ~ spl0_195
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6904,s2223,s3866,s67,s1910,s5644,s2012,s5642,s6919,s3587,s2444,s5635,s6961,s8190,s6962,s5127]) ).

cnf(s8192,plain,
    ( ~ spl0_370
    | spl0_196
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6186,s5126,s2351,s5642,s1910,s8180,s7381,s5999,s2052,s5573,s8191,s83,s5127]) ).

cnf(s8193,plain,
    ( spl0_11
    | ~ spl0_309
    | spl0_196
    | spl0_38 ),
    inference(rat,[],[s5018,s5644,s2012,s5126]) ).

cnf(s8194,plain,
    ( spl0_31
    | ~ spl0_11
    | ~ spl0_309
    | spl0_370
    | spl0_38
    | ~ spl0_24 ),
    inference(rat,[],[s7225,s6270,s2012,s2524]) ).

cnf(s8195,plain,
    ( spl0_315
    | ~ spl0_13
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s1726,s4649,s7312,s7381,s6829,s3577,s3866,s67,s6468,s5644,s1653,s2351,s6182,s6927,s8194,s8193,s6961,s8190,s83,s538,s5127,s681,s1982,s8192,s8188]) ).

cnf(s8196,plain,
    ( spl0_11
    | spl0_23
    | ~ spl0_315
    | ~ spl0_199
    | spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s2536,s2524,s6468,s5018,s5126]) ).

cnf(s8197,plain,
    ( ~ spl0_37
    | ~ spl0_11
    | ~ spl0_315
    | ~ spl0_199
    | spl0_370
    | spl0_38
    | ~ spl0_24 ),
    inference(rat,[],[s6468,s7225,s2536,s6270]) ).

cnf(s8198,plain,
    ( spl0_309
    | spl0_37
    | ~ spl0_11
    | ~ spl0_315
    | ~ spl0_200
    | ~ spl0_345
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s4860,s2081,s6926,s5020,s6955,s2405,s6925,s7262,s1208,s681,s342,s2524,s22,s3695]) ).

cnf(s8199,plain,
    ( ~ spl0_206
    | spl0_9
    | ~ spl0_31
    | ~ spl0_11
    | spl0_370
    | ~ spl0_13
    | ~ spl0_365 ),
    inference(rat,[],[s6822,s37,s3017,s7225]) ).

cnf(s8200,plain,
    ( ~ spl0_13
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7315,s2492,s6800,s7382,s5176,s7337,s3334,s2081,s4860,s6926,s37,s6955,s5900,s6925,s6468,s6113,s1653,s8199,s1922,s342,s6927,s2524,s8197,s8196,s22,s1212,s3695,s8195,s681,s1982,s8192,s5127,s8188,s83]) ).

cnf(s8201,plain,
    ( spl0_315
    | ~ spl0_393
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3825,s6961,s7884,s6691,s6962]) ).

cnf(s8202,plain,
    ( spl0_31
    | spl0_11
    | ~ spl0_393
    | spl0_392
    | spl0_386
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s6553,s6747,s5850,s7337,s1835,s1241,s6467,s4828,s1910,s2651,s2353,s83]) ).

cnf(s8203,plain,
    ( spl0_11
    | ~ spl0_383
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4828,s4860,s5661,s2081,s2140,s6855,s7380,s2275,s6467,s2693,s5461,s24,s5018,s8202,s83,s1831,s4172,s2631,s538,s7383,s4260,s2429,s1679]) ).

cnf(s8204,plain,
    ( ~ spl0_371
    | ~ spl0_393
    | spl0_392
    | ~ spl0_250
    | ~ spl0_346
    | ~ spl0_35 ),
    inference(rat,[],[s6747,s7382,s7337,s2150,s4251]) ).

cnf(s8205,plain,
    ( ~ spl0_196
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2151,s5805,s5176,s5949,s8194,s6961,s5516,s3922,s7381,s5836,s7380,s7382,s6855,s6747,s7337,s3673,s5123,s3605,s3276,s6956,s6957,s6115,s6105,s1690,s8204,s8203,s2535,s8201,s2718,s7383,s4172,s4260,s2631,s5370,s1688,s8186,s2429,s1679,s83,s538,s10,s8200]) ).

cnf(s8206,plain,
    ( spl0_315
    | ~ spl0_393
    | spl0_392
    | ~ spl0_11
    | spl0_386
    | ~ spl0_383
    | spl0_370
    | spl0_196
    | spl0_38
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4221,s7981,s8194,s7381,s6919,s6961,s6682,s3587,s6691,s6962]) ).

cnf(s8207,plain,
    ( ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8180,s7381,s2275,s5836,s7380,s7382,s6855,s6747,s7337,s3673,s5123,s3605,s2535,s8206,s6956,s6957,s6115,s6105,s1690,s8204,s7383,s4172,s8203,s4260,s2631,s1831,s5370,s1688,s8192,s5127,s8205,s10,s8200,s538,s2429,s1679,s83]) ).

cnf(s8208,plain,
    ( spl0_315
    | spl0_11
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_196
    | spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s2520,s5380,s2140,s4191,s7681,s5461,s37,s5018,s3863,s2353,s5642,s3072,s2219,s681,s2509,s5242,s7789,s6962,s6955,s3199]) ).

cnf(s8209,plain,
    ( spl0_11
    | spl0_309
    | ~ spl0_370
    | ~ spl0_196
    | spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s5579,s8184,s8208,s1872,s3841,s1208,s6955,s3199]) ).

cnf(s8210,plain,
    ( spl0_315
    | ~ spl0_11
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_196
    | spl0_195
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s6182,s2353,s5642,s2219,s2509,s5242,s7789]) ).

cnf(s8211,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7366,s6270,s6120,s2353,s2524,s8185,s6964,s681,s22,s3072,s5579,s2535,s4109,s8210,s8209,s6955,s1208,s3199,s3841,s3296,s1872,s2429,s1679,s83,s8207]) ).

cnf(s8212,plain,
    ( spl0_200
    | ~ spl0_313
    | spl0_195
    | ~ spl0_365 ),
    inference(rat,[],[s5242,s7663,s6964]) ).

cnf(s8213,plain,
    ( spl0_11
    | ~ spl0_305
    | ~ spl0_31
    | ~ spl0_304
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4828,s4860,s5661,s2081,s2140,s7681,s5461,s5018,s83]) ).

cnf(s8214,plain,
    ( ~ spl0_196
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s5370,s1928,s2682,s1837,s4437,s4708,s4326,s8213,s1208,s2353,s6955,s3825,s2219,s5503,s8212,s1688,s8211,s8207]) ).

cnf(s8215,plain,
    ( spl0_11
    | ~ spl0_370
    | spl0_196
    | ~ spl0_346
    | spl0_38
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s6724,s6957,s7337,s6120,s6201,s1241,s5018,s4828,s24,s2651,s1208,s5642,s1653,s8193,s5126,s1872]) ).

cnf(s8216,plain,
    ( ~ spl0_309
    | ~ spl0_4
    | spl0_31
    | ~ spl0_11
    | ~ spl0_370
    | spl0_38
    | ~ spl0_35 ),
    inference(rat,[],[s2827,s2012,s2514]) ).

cnf(s8217,plain,
    ( spl0_31
    | ~ spl0_11
    | spl0_319
    | ~ spl0_370
    | spl0_195
    | spl0_38
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s681,s7353,s3072,s6120,s4109,s6691,s1208,s8216,s7383,s1727,s5988,s6270,s2524,s2429,s1679]) ).

cnf(s8218,plain,
    ( spl0_309
    | spl0_399
    | ~ spl0_63
    | ~ spl0_9
    | spl0_315
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_370
    | ~ spl0_345
    | spl0_195
    | ~ spl0_346
    | ~ spl0_365 ),
    inference(rat,[],[s2103,s6283,s2780,s6956,s2509,s6114,s5242,s5752,s7822,s7789,s5528,s1208,s7190,s4221,s2651]) ).

cnf(s8219,plain,
    ( spl0_315
    | ~ spl0_31
    | ~ spl0_370
    | spl0_196
    | spl0_195
    | ~ spl0_346
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s2159,s7382,s1724,s6218,s1831,s5228,s6200,s3665,s1837,s1690,s6173,s2067,s2696,s6956,s5016,s6957,s6201,s7202,s2935,s2408,s5168,s5628,s2514,s5635,s8218,s7381,s3577,s3866,s67,s24,s5642,s7190,s6182,s5356,s2952,s5127,s1872,s4221,s8215]) ).

cnf(s8220,plain,
    ( ~ spl0_370
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6201,s6957,s6947,s5016,s7353,s6964,s37,s6955,s681,s6949,s2335,s3072,s2535,s5573,s4109,s8219,s8217,s8215,s1872,s2429,s1679,s83,s5356,s2952,s8207,s8214]) ).

cnf(s8221,plain,
    ( spl0_360
    | ~ spl0_217
    | ~ spl0_201
    | spl0_11
    | ~ spl0_200
    | ~ spl0_345
    | ~ spl0_346 ),
    inference(rat,[],[s6283,s6956,s5144,s6926,s4828]) ).

cnf(s8222,plain,
    ( spl0_11
    | ~ spl0_200
    | spl0_196
    | ~ spl0_346
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6724,s5579,s6957,s7337,s5018,s3920,s2081,s2353,s4860,s2651,s8221,s1208,s6468,s1653,s8193,s5126,s83,s5127,s681,s2295]) ).

cnf(s8223,plain,
    ( spl0_31
    | ~ spl0_11
    | spl0_370
    | spl0_195
    | spl0_38
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s1727,s6691,s5988,s1208,s8197,s6270,s8194,s2524,s681,s8212,s1688]) ).

cnf(s8224,plain,
    ( spl0_383
    | ~ spl0_313
    | spl0_195
    | ~ spl0_365 ),
    inference(rat,[],[s10,s5370,s1786]) ).

cnf(s8225,plain,
    ( ~ spl0_305
    | spl0_315
    | ~ spl0_383
    | ~ spl0_200
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s3921,s7789,s6777,s6962]) ).

cnf(s8226,plain,
    ( spl0_315
    | spl0_386
    | ~ spl0_383
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_200
    | spl0_196
    | spl0_38
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3577,s3866,s7381,s67,s7981,s5644,s6961,s8225,s6182,s4221]) ).

cnf(s8227,plain,
    ( ~ spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s6926,s6925,s6468,s3315,s7225,s5950,s4023,s2651,s2223,s2693,s4397,s7312,s6205,s67,s5981,s8198,s3695,s1212,s8197,s8226,s1831,s8224,s8223,s8222,s681,s8212,s1688,s8220,s5847,s5127,s8214,s8207,s83]) ).

cnf(s8228,plain,
    ( spl0_315
    | spl0_11
    | ~ spl0_305
    | ~ spl0_195
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s8182,s4477,s3865,s3587,s1798,s7789,s6691,s6962]) ).

cnf(s8229,plain,
    ( spl0_11
    | ~ spl0_305
    | ~ spl0_367
    | ~ spl0_198
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3922,s5516,s2718,s3646,s6307,s7383,s6467,s8182,s1910,s2353,s2524,s5018,s5579,s8228,s83,s538]) ).

cnf(s8230,plain,
    ( spl0_31
    | spl0_383
    | ~ spl0_377
    | ~ spl0_11
    | spl0_38
    | ~ spl0_24 ),
    inference(rat,[],[s7235,s6270,s1727,s2524]) ).

cnf(s8231,plain,
    ( spl0_315
    | ~ spl0_11
    | spl0_200
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_370
    | spl0_346
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s6552,s4287,s3904,s1690,s5051,s5641,s7382,s2140,s3622,s6724,s6957,s6267,s7365,s5950,s4766,s7190,s4221,s8230,s2510,s1724,s4260,s3587,s8167,s1798,s7789,s6691,s6962,s6960,s1872,s6964,s1208,s3296]) ).

cnf(s8232,plain,
    ( spl0_31
    | ~ spl0_315
    | ~ spl0_11
    | ~ spl0_196
    | spl0_319
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7366,s6270,s6120,s2353,s2524,s83]) ).

cnf(s8233,plain,
    ( spl0_310
    | ~ spl0_544
    | ~ spl0_377
    | ~ spl0_367
    | spl0_200
    | ~ spl0_195
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6262,s142,s3779,s3578,s7316]) ).

cnf(s8234,plain,
    ( ~ spl0_99
    | spl0_225
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1951,s274,s7364]) ).

cnf(s8235,plain,
    ( ~ spl0_195
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5854,s158,s2024,s142,s4499,s8233,s3578,s6031,s6119,s131,s8234,s7330,s1998,s1835,s7235,s4260,s37,s4323,s1653,s6949,s342,s4326,s8232,s22,s5579,s5573,s8231,s8229,s1208,s7381,s3841,s3296,s8181,s4644,s8192,s539,s2429,s1679,s83,s8227,s1872]) ).

cnf(s8236,plain,
    ( spl0_99
    | ~ spl0_362
    | ~ spl0_367
    | spl0_548
    | ~ spl0_301
    | spl0_223
    | spl0_200
    | ~ spl0_201
    | spl0_319
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s4650,s158,s1731,s142,s4264,s3578,s6408,s6119,s131]) ).

cnf(s8237,plain,
    ( ~ spl0_367
    | ~ spl0_377
    | spl0_548
    | ~ spl0_301
    | spl0_323
    | spl0_37
    | spl0_200
    | ~ spl0_193
    | ~ spl0_4
    | ~ spl0_201
    | ~ spl0_11
    | spl0_195
    | spl0_319
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s7329,s274,s8236,s7382,s5850,s5981,s1831,s6976,s4360,s5627,s5522,s2952,s5988,s6964]) ).

cnf(s8238,plain,
    ( ~ spl0_11
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6552,s5520,s2675,s5640,s7381,s8237,s1690,s10,s2067,s2068,s6956,s4183,s7764,s1798,s5220,s6957,s5225,s2423,s6964,s6267,s2944,s2714,s342,s681,s1837,s1929,s37,s1653,s22,s3072,s6949,s4326,s5579,s5573,s4109,s8217,s8210,s83,s6960,s8227,s1872,s2952,s8235,s3841,s1208,s3296]) ).

cnf(s8239,plain,
    ( ~ spl0_301
    | ~ spl0_377
    | ~ spl0_544
    | spl0_315
    | ~ spl0_23
    | spl0_11
    | ~ spl0_305
    | spl0_38 ),
    inference(rat,[],[s4828,s3907,s5661,s7382,s2140,s3622,s6724,s6467,s6235]) ).

cnf(s8240,plain,
    ( ~ spl0_100
    | ~ spl0_399
    | ~ spl0_23
    | ~ spl0_196
    | ~ spl0_370
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s3868,s2803,s171,s2960,s2278]) ).

cnf(s8241,plain,
    ( spl0_310
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_341
    | ~ spl0_192
    | ~ spl0_377
    | ~ spl0_544 ),
    inference(rat,[],[s3867,s171,s3779,s4978,s7316]) ).

cnf(s8242,plain,
    ( spl0_395
    | ~ spl0_95
    | ~ spl0_367
    | spl0_195
    | ~ spl0_365 ),
    inference(rat,[],[s4500,s4223,s7334,s2952]) ).

cnf(s8243,plain,
    ( ~ spl0_367
    | ~ spl0_327
    | ~ spl0_507
    | ~ spl0_526
    | ~ spl0_377
    | ~ spl0_544
    | spl0_315
    | ~ spl0_31
    | spl0_11
    | ~ spl0_196
    | spl0_195
    | ~ spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s2911,s5447,s5696,s171,s3867,s8242,s142,s6063,s8241,s186,s131,s8240,s4395,s3970,s3577,s3841,s6467,s6235,s5018]) ).

cnf(s8244,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s8243,s5100,s6956,s5380,s2832,s4191,s5053,s3907,s5046,s7382,s7380,s5143,s5438,s2828,s4828,s5120,s6957,s8239,s10,s1786,s1724,s6467,s3921,s6235,s4183,s2977,s3587,s1798,s5155,s5297,s7789,s6691,s6962,s37,s5642,s5579,s4698,s24,s5018,s2429,s1679,s83,s8227,s1872,s2952,s8235,s3841,s1208,s3296,s8238]) ).

cnf(s8245,plain,
    ( spl0_99
    | spl0_466
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_348
    | ~ spl0_368
    | ~ spl0_192
    | spl0_31
    | ~ spl0_196
    | spl0_38 ),
    inference(rat,[],[s5624,s4926,s171,s6543,s5056,s145,s4936,s131,s6099,s5712]) ).

cnf(s8246,plain,
    ( spl0_323
    | ~ spl0_368
    | ~ spl0_381
    | ~ spl0_192
    | spl0_548
    | ~ spl0_9
    | spl0_31
    | spl0_11
    | ~ spl0_305
    | ~ spl0_196
    | spl0_195
    | spl0_319
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s3811,s113,s142,s2186,s4262,s4631,s307,s2488,s323,s162,s186,s8245,s3755,s5040,s7382,s4280,s5626,s6957,s7337,s5120,s1241,s2151,s6964,s2510,s2219]) ).

cnf(s8247,plain,
    ( ~ spl0_377
    | spl0_548
    | ~ spl0_9
    | spl0_31
    | spl0_11
    | ~ spl0_196
    | spl0_195
    | ~ spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s5143,s2105,s2104,s5100,s6956,s4817,s4828,s8246,s10,s7381,s1786,s1724,s3970,s3539,s4505,s8182,s1727,s1872,s1208,s3296,s24,s3710,s6964,s2219,s6270,s2524]) ).

cnf(s8248,plain,
    ( ~ spl0_367
    | spl0_391
    | spl0_562
    | ~ spl0_443
    | spl0_31
    | spl0_195
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s3970,s4505,s1835,s6184,s1831,s6976,s4360,s5627,s6333,s5522,s2952]) ).

cnf(s8249,plain,
    ( spl0_323
    | ~ spl0_381
    | ~ spl0_609
    | spl0_548
    | spl0_200
    | ~ spl0_196
    | spl0_319
    | ~ spl0_428 ),
    inference(rat,[],[s6218,s7382,s6956,s4280,s7764,s5626,s6957,s5120,s2151]) ).

cnf(s8250,plain,
    ( ~ spl0_361
    | ~ spl0_360
    | ~ spl0_368
    | spl0_200
    | ~ spl0_196
    | ~ spl0_428 ),
    inference(rat,[],[s6592,s7764,s5100,s6957,s2105,s5053]) ).

cnf(s8251,plain,
    ( spl0_383
    | spl0_223
    | ~ spl0_368
    | spl0_548
    | spl0_200
    | spl0_11
    | ~ spl0_196
    | spl0_195
    | spl0_319
    | ~ spl0_428
    | ~ spl0_1 ),
    inference(rat,[],[s5050,s7380,s3003,s4238,s5143,s7382,s8250,s4828,s8249,s10,s1786,s1724,s1835,s6232]) ).

cnf(s8252,plain,
    ( spl0_323
    | spl0_386
    | ~ spl0_193
    | ~ spl0_393
    | spl0_31
    | spl0_38 ),
    inference(rat,[],[s6747,s7382,s7337,s5850,s1241,s6184]) ).

cnf(s8253,plain,
    ( spl0_223
    | spl0_203
    | ~ spl0_368
    | ~ spl0_393
    | ~ spl0_315
    | spl0_565
    | spl0_548
    | spl0_200
    | spl0_31
    | spl0_11
    | ~ spl0_196
    | spl0_195
    | spl0_320
    | spl0_319
    | ~ spl0_428
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s7338,s6747,s6062,s7382,s6957,s8250,s5017,s4828,s8252,s3547,s6184,s3073,s1831,s8251,s1835]) ).

cnf(s8254,plain,
    ( ~ spl0_196
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2104,s5143,s5100,s7382,s6956,s8250,s4817,s4828,s10,s8246,s1786,s1724,s3073,s4505,s6467,s8253,s4644,s7381,s8248,s7383,s8247,s5630,s5247,s1653,s6120,s7789,s3710,s3713,s5220,s5242,s6964,s67,s2219,s24,s6270,s2353,s2524,s8244,s8238,s1208,s3296,s83,s6960,s8227,s1872,s5785,s2952,s8235]) ).

cnf(s8255,plain,
    ( ~ spl0_443
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2052,s5573,s2423,s3577,s342,s3866,s7383,s22,s67,s3539,s24,s6976,s5642,s4360,s6919,s5627,s5242,s2952,s5522,s8235,s8180,s5127,s8254]) ).

cnf(s8256,plain,
    ( ~ spl0_367
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s67,s3866,s24,s3577,s5642,s4109,s4326,s3072,s2514,s681,s2509,s8255,s2429,s1679,s8254]) ).

cnf(s8258,plain,
    ( ~ spl0_361
    | ~ spl0_609
    | ~ spl0_377
    | ~ spl0_309
    | spl0_200
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_428 ),
    inference(rat,[],[s5176,s2151,s6058,s6218,s6956,s7764,s6957,s5837]) ).

cnf(s8260,plain,
    ( ~ spl0_223
    | ~ spl0_201
    | spl0_200
    | ~ spl0_11
    | ~ spl0_31
    | spl0_195
    | spl0_319
    | ~ spl0_370
    | spl0_346
    | ~ spl0_365 ),
    inference(rat,[],[s5035,s4240,s307,s142,s4142,s4012,s5691,s2024,s6956,s4499,s7764,s5626,s6031,s4930,s6957,s6119,s4453,s131,s6201,s37,s7750,s6810,s5988,s6960,s5242,s6964]) ).

cnf(s8261,plain,
    ( spl0_323
    | ~ spl0_381
    | ~ spl0_609
    | ~ spl0_201
    | spl0_548
    | spl0_200
    | spl0_319
    | ~ spl0_428 ),
    inference(rat,[],[s6218,s7382,s6956,s4280,s7764,s5626,s6957,s6201,s2151]) ).

cnf(s8262,plain,
    ( spl0_200
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_31
    | spl0_196
    | spl0_195
    | ~ spl0_370
    | spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s4262,s307,s142,s4653,s4012,s5691,s2024,s4499,s6031,s6119,s131,s6936,s7797,s37,s5176,s2944,s8261,s2510,s1724,s1831,s6200,s6232,s1835,s8260,s1653,s6919,s5220,s5242,s6964,s6960,s1872,s2952]) ).

cnf(s8263,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7803,s6955,s3907,s5051,s6058,s7382,s2140,s3622,s6724,s6957,s6267,s67,s7365,s3584,s3587,s24,s6402,s1798,s7789,s6962,s5642,s1653,s6691,s4109,s4326,s1208,s3072,s2514,s681,s8262,s7381,s8256,s2429,s1679,s8227,s1872,s5785,s8235,s5127,s8254]) ).

cnf(s8264,plain,
    ( ~ spl0_31
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s24,s5642,s5018,s5126,s8263,s8254]) ).

cnf(s8265,plain,
    ( spl0_323
    | ~ spl0_305
    | ~ spl0_201
    | spl0_31
    | spl0_319
    | spl0_38 ),
    inference(rat,[],[s6724,s6957,s7337,s6201,s1241,s6120]) ).

cnf(s8266,plain,
    ( ~ spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4961,s6198,s7902,s7380,s3972,s4828,s8265,s4230,s5940,s1727,s3584,s3587,s1798,s7789,s6962,s6691,s6120,s1208,s1653,s67,s8193,s5126,s24,s6270,s8217,s2353,s2524,s8264,s5127,s8254,s2952,s8235,s1872,s83,s6960,s8227]) ).

cnf(s8267,plain,
    ( ~ spl0_14
    | ~ spl0_195
    | ~ spl0_196
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7874,s2081,s3059,s7380,s2087,s2900,s342,s7763,s22,s67,s7365,s7225,s5672,s24,s6259,s2693,s1835,s6205,s7383,s4260,s1831,s5370,s2429,s1679,s6960,s8227,s1688,s8266]) ).

cnf(s8268,plain,
    ( ~ spl0_13
    | ~ spl0_196
    | ~ spl0_11
    | ~ spl0_31
    | spl0_370
    | spl0_346
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s4437,s4708,s1929,s8199,s1924,s2219,s1982]) ).

cnf(s8269,plain,
    ( ~ spl0_196
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4183,s3921,s6205,s5949,s2693,s2219,s8212,s8267,s5370,s10,s8268,s8227,s1688,s8266]) ).

cnf(s8270,plain,
    ( spl0_200
    | ~ spl0_195
    | ~ spl0_345
    | ~ spl0_11
    | ~ spl0_31
    | spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6205,s3865,s2693,s5370,s3584,s7722,s10,s7663,s1982,s6964,s1688]) ).

cnf(s8271,plain,
    ( ~ spl0_377
    | ~ spl0_200
    | ~ spl0_195
    | spl0_196
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s5949,s4662,s6307,s8190,s5615,s1208,s1653,s4649,s4519,s6919,s7381,s3584,s8180,s1726,s3865,s5127,s538,s681]) ).

cnf(s8272,plain,
    ( ~ spl0_192
    | spl0_223
    | ~ spl0_195
    | ~ spl0_11
    | ~ spl0_313
    | spl0_346
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s1924,s10,s1929,s5370,s6343,s2693,s5524,s1910]) ).

cnf(s8273,plain,
    ( ~ spl0_195
    | spl0_196
    | ~ spl0_11
    | ~ spl0_31
    | spl0_370
    | spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s1653,s5804,s6919,s7381,s3584,s8180,s8272,s6307,s6205,s8271,s8270,s538,s1688,s5127]) ).

cnf(s8274,plain,
    ( ~ spl0_11
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5624,s2468,s171,s307,s4314,s5606,s142,s4500,s3092,s8242,s4253,s7334,s6231,s131,s8234,s6356,s7330,s7381,s3306,s6200,s6468,s3315,s7225,s5950,s2423,s4023,s342,s2223,s4397,s7383,s7312,s22,s67,s5981,s8197,s3695,s1212,s8226,s1831,s681,s8224,s8212,s2952,s8273,s5847,s5127,s8269,s1679,s83,s8227,s1688,s8266]) ).

cnf(s8275,plain,
    ( spl0_323
    | spl0_319
    | ~ spl0_14
    | ~ spl0_196
    | spl0_9
    | ~ spl0_313
    | ~ spl0_1 ),
    inference(rat,[],[s7321,s6105,s5120,s5736]) ).

cnf(s8276,plain,
    ( ~ spl0_100
    | ~ spl0_309
    | ~ spl0_367
    | spl0_200
    | ~ spl0_196
    | spl0_9
    | ~ spl0_23
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s6649,s3578,s1948,s5424]) ).

cnf(s8277,plain,
    ( spl0_310
    | ~ spl0_90
    | ~ spl0_367
    | ~ spl0_544
    | spl0_200
    | ~ spl0_203
    | ~ spl0_365 ),
    inference(rat,[],[s2490,s142,s3779,s3578,s7316]) ).

cnf(s8278,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_14
    | spl0_565
    | spl0_200
    | spl0_392
    | ~ spl0_203
    | ~ spl0_196
    | spl0_608
    | spl0_9
    | spl0_11
    | ~ spl0_31
    | ~ spl0_313
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s313,s142,s114,s3810,s2282,s5991,s113,s324,s8069,s5696,s171,s4856,s3617,s8277,s186,s131,s8276,s7380,s6956,s6855,s5037,s2832,s7337,s4954,s3618,s3605,s6957,s5017,s4828,s8275,s2002,s5644,s6961,s5516,s3922,s3970,s83,s5018,s2718,s2122,s3587,s7663,s6470,s2693,s5370]) ).

cnf(s8279,plain,
    ( spl0_200
    | spl0_392
    | ~ spl0_195
    | ~ spl0_196
    | spl0_9
    | spl0_11
    | ~ spl0_31
    | spl0_370
    | spl0_346
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s7338,s6747,s3618,s7382,s6957,s8250,s5011,s4828,s8275,s4726,s7381,s8278,s6467,s7383,s2693,s4260,s2122,s5370,s3587,s10,s3713,s7663,s1982,s6964,s6960,s5107,s37,s4698,s5018,s1688,s539]) ).

cnf(s8280,plain,
    ( ~ spl0_195
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8228,s1208,s3695,s3825,s8279,s4477,s2429,s1679,s83,s8227,s8266,s24,s5018,s8274]) ).

cnf(s8281,plain,
    ( ~ spl0_196
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8225,s1208,s3695,s3825,s8224,s8212,s8280,s1688,s8266,s5018,s8274]) ).

cnf(s8282,plain,
    ( spl0_200
    | ~ spl0_305
    | ~ spl0_201
    | ~ spl0_345
    | ~ spl0_23
    | spl0_370
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s5516,s3922,s7381,s7383,s5102,s3865,s2718,s5370,s3584,s4477,s10,s7663,s8212,s1982,s1688]) ).

cnf(s8283,plain,
    ( ~ spl0_31
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8224,s8225,s8228,s3695,s8282,s1208,s1653,s8193,s5126,s5127,s8281,s5018,s8274,s83,s1688,s8266]) ).

cnf(s8284,plain,
    ( ~ spl0_11
    | ~ spl0_14
    | ~ spl0_196
    | ~ spl0_4
    | spl0_31
    | spl0_370
    | spl0_346
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s7774,s7337,s3003,s5636,s7763,s7365,s7225,s5672,s2524]) ).

cnf(s8285,plain,
    ( ~ spl0_196
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4752,s2140,s6959,s6855,s7931,s7380,s5050,s4961,s3276,s6957,s5011,s4828,s8252,s1835,s6467,s8284,s7383,s4260,s1831,s5370,s1910,s10,s3713,s8212,s1982,s6964,s2219,s2429,s1679,s8227,s1688,s8266,s2353,s6270,s2524,s8283,s83]) ).

cnf(s8286,plain,
    ( ~ spl0_11
    | ~ spl0_345
    | ~ spl0_9
    | spl0_31
    | spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s681,s8197,s7663,s8190,s3584,s1208,s1910,s8194,s8223,s1688,s2524]) ).

cnf(s8287,plain,
    ( spl0_200
    | ~ spl0_345
    | ~ spl0_9
    | ~ spl0_313
    | ~ spl0_365 ),
    inference(rat,[],[s7722,s7663,s6964]) ).

cnf(s8288,plain,
    ( ~ spl0_1
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8196,s8225,s681,s8287,s5370,s10,s92,s93,s79,s53,s275,s1208,s72,s8193,s76,s8286,s3589,s5127,s8285,s24,s2353,s8283,s1688,s8266,s83]) ).

cnf(s8289,plain,
    ( ~ spl0_301
    | ~ spl0_371
    | ~ spl0_428
    | spl0_309
    | ~ spl0_58
    | spl0_200
    | ~ spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s2611,s2081,s6956,s2140,s7764,s5024]) ).

cnf(s8292,plain,
    ( spl0_346
    | ~ spl0_309
    | ~ spl0_58
    | ~ spl0_63
    | spl0_192
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5805,s3276,s7380,s6957,s3059,s7764,s7383,s6955,s4183,s2611,s5633,s3334,s7382,s3502,s6185,s6219,s7649,s7701,s7782,s6139,s10,s8169,s7365,s6960,s5672,s5785,s6964,s7353,s1870,s5949,s2444,s5635,s3819,s8034,s6962,s5573,s2052]) ).

cnf(s8294,plain,
    ( ~ spl0_58
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_428
    | spl0_309
    | spl0_206
    | spl0_200
    | spl0_320
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6932,s8167,s6955,s7789,s6962,s5141,s8153,s3276,s6957,s8289,s6964,s1208]) ).

cnf(s8295,plain,
    ( spl0_346
    | spl0_309
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5141,s3276,s6956,s6957,s2893,s6724,s5476,s7382,s7337,s7381,s5633,s5641,s6260,s4183,s8167,s1798,s7789,s6691,s6962,s5579,s22,s342,s8294,s7782,s6139,s10,s8169,s7365,s6960,s5672,s5785,s3841,s6964,s7353,s2827,s3819,s8034,s8288,s1208,s6033]) ).

cnf(s8297,plain,
    ( spl0_315
    | ~ spl0_100
    | ~ spl0_502
    | ~ spl0_367
    | ~ spl0_377
    | ~ spl0_305
    | ~ spl0_195
    | ~ spl0_552
    | spl0_206
    | spl0_200
    | ~ spl0_196
    | ~ spl0_6
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s5742,s4314,s6262,s7351,s4484,s5854,s5367,s3109,s8233,s8167,s7789,s6962,s6964]) ).

cnf(s8298,plain,
    ( ~ spl0_58
    | spl0_309
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5521,s7380,s2520,s5843,s4820,s5225,s6955,s6947,s2335,s2535,s5573,s8297,s131,s8234,s7330,s1998,s5476,s1835,s7381,s7235,s1724,s6260,s4260,s1798,s2423,s2429,s1679,s6064,s6398,s1,s15,s6964,s2827,s3481,s7353,s3819,s8034,s8288,s1208,s6033,s8295]) ).

cnf(s8299,plain,
    ( spl0_309
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8297,s131,s5476,s8234,s7381,s7332,s7315,s4070,s6260,s3587,s8167,s1798,s7789,s6691,s6962,s5579,s22,s342,s8298,s6033,s1208,s6064,s6398,s1,s15,s3841,s6964,s2827,s3481,s7353,s3819,s8034,s8288]) ).

cnf(s8300,plain,
    ( spl0_310
    | ~ spl0_399
    | ~ spl0_367
    | spl0_544
    | ~ spl0_309
    | spl0_200
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s464,s142,s8162,s3578]) ).

cnf(s8301,plain,
    ( ~ spl0_377
    | spl0_346
    | ~ spl0_193
    | spl0_223
    | ~ spl0_309
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7587,s6262,s6969,s7389,s4484,s4935,s4650,s5367,s3109,s8300,s131,s8161,s3577,s7382,s2525,s7381,s5633,s1998,s6260,s4183,s1679,s6064,s6398,s1,s15,s3481,s8167,s6962,s5573,s2052,s5635,s2944,s7782,s6139,s10,s8169,s6964,s7353,s5672,s3819,s8034,s8288]) ).

cnf(s8302,plain,
    ( spl0_23
    | spl0_377
    | spl0_346
    | ~ spl0_309
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5805,s3755,s7380,s7382,s3059,s2492,s8292,s342,s22,s67,s5949,s2444,s5635,s7365,s3819,s8034,s7337,s7701,s6139,s10,s8169,s6960,s5785,s7383]) ).

cnf(s8303,plain,
    ( spl0_346
    | ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6955,s6957,s6218,s6267,s7382,s2002,s6747,s8302,s6232,s7381,s6682,s7383,s8301,s7337,s7701,s6139,s10,s8169,s7365,s6960,s5785,s7353,s5949,s7191,s2444,s5635,s4221,s3819,s8034,s8288,s6962,s5573,s2052,s8299]) ).

cnf(s8304,plain,
    ( ~ spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6955,s6957,s3175,s2645,s2081,s2140,s3798,s4228,s6198,s7380,s5843,s5225,s6400,s2935,s7006,s5168,s8303,s6962,s7191,s2718,s5573,s2444,s2052,s5635,s8299,s4221,s3819,s8034,s8288,s5785]) ).

cnf(s8305,plain,
    ( ~ spl0_367
    | ~ spl0_377
    | spl0_346
    | ~ spl0_309
    | spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7587,s7382,s2183,s6969,s7389,s5632,s4484,s4935,s4650,s6976,s5367,s3109,s2041,s4360,s8300,s5627,s3577,s5522,s6064,s6398,s1,s15,s3481,s2952,s5988,s5242,s5573,s2052,s2944,s7782,s6139,s10,s8169,s6964,s7353,s5672,s3819,s8034,s8288,s4183]) ).

cnf(s8306,plain,
    ( ~ spl0_377
    | spl0_346
    | ~ spl0_309
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s1870,s4432,s4726,s8017,s8249,s7382,s1724,s8258,s5640,s6232,s7381,s8305,s4183,s5988,s2944,s5220,s2952,s8304,s7649,s7701,s6960,s5785,s7782,s6139,s10,s8169,s6964,s7353,s5672,s3819,s8034,s8288,s6962,s5573,s2052]) ).

cnf(s8307,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | spl0_387
    | ~ spl0_309
    | spl0_544
    | ~ spl0_193
    | spl0_223
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s7494,s8042,s3118,s464,s6244,s171,s4484,s4650,s1226,s5367,s3109,s2041,s5230,s8300,s6682,s3577,s5785,s3481,s7353,s6962,s5845,s5573]) ).

cnf(s8308,plain,
    ( ~ spl0_58
    | ~ spl0_609
    | spl0_377
    | spl0_306
    | ~ spl0_348
    | ~ spl0_429
    | spl0_223
    | ~ spl0_196 ),
    inference(rat,[],[s7321,s5014,s3276,s6955,s5805,s6218,s7380,s7382,s3059,s2492,s7337,s7383]) ).

cnf(s8309,plain,
    ( spl0_346
    | ~ spl0_309
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8164,s6956,s5744,s5016,s6976,s6957,s8249,s6267,s2002,s22,s342,s8308,s6232,s7381,s8307,s7383,s8306,s7337,s7701,s7782,s6139,s10,s5220,s8169,s2944,s7365,s6960,s6064,s6398,s1,s15,s5672,s5785,s7353,s5988,s7379,s3819,s8034,s8288,s5242,s6964,s5356,s2952,s8304,s6962,s5573,s2052]) ).

cnf(s8310,plain,
    ( ~ spl0_367
    | ~ spl0_377
    | ~ spl0_309
    | spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5614,s6332,s3552,s2183,s7389,s4484,s4650,s6976,s5367,s3109,s2041,s4360,s8300,s5627,s3577,s5522,s6064,s6398,s1,s15,s3481,s7353,s2952,s5988,s3819,s8034,s8288,s5242,s6964,s5573,s2052]) ).

cnf(s8311,plain,
    ( ~ spl0_377
    | spl0_323
    | ~ spl0_346
    | ~ spl0_309
    | spl0_195
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7354,s5395,s4499,s7983,s6031,s2975,s6119,s131,s8161,s6265,s3011,s2718,s4726,s4228,s5288,s5295,s3798,s6455,s6198,s7382,s7380,s6218,s2675,s6956,s2669,s7525,s7649,s7337,s4251,s7810,s6139,s10,s67,s1786,s4070,s5640,s6232,s6200,s7381,s8310,s4183,s2429,s1679,s15,s7353,s2827,s5988,s5242,s6964,s6962,s5573,s2052,s7006,s5168,s5635,s2151,s5225,s7379,s3819,s8034,s8288]) ).

cnf(s8312,plain,
    ( ~ spl0_306
    | ~ spl0_346
    | ~ spl0_309
    | spl0_606
    | spl0_200
    | spl0_320
    | ~ spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s5016,s6955,s6957,s3175,s2645,s2081]) ).

cnf(s8313,plain,
    ( ~ spl0_309
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2675,s7380,s6956,s6855,s7525,s7337,s8312,s7381,s8307,s7383,s8311,s5225,s2935,s5168,s8309,s6962,s5573,s2052,s5635,s6064,s6398,s1,s15,s5785,s5988,s7379,s3819,s8034,s8288,s5242,s6964,s5356,s2952,s8304]) ).

cnf(s8314,plain,
    ( spl0_346
    | ~ spl0_58
    | spl0_309
    | spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6139,s7782,s10,s8294,s8169,s7365,s6960,s5672,s5785,s6964,s7353,s2827,s3819,s8034,s8288]) ).

cnf(s8315,plain,
    ( spl0_200
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6593,s8153,s5016,s2151,s6955,s6947,s2335,s8314,s342,s22,s5579,s2535,s5573,s7789,s1208,s8313,s5356,s5242,s2952,s8304,s2827,s6964,s1679,s3819,s8034,s8288,s5785,s3841]) ).

cnf(s8316,plain,
    ( spl0_346
    | ~ spl0_502
    | spl0_47
    | ~ spl0_195
    | spl0_465
    | spl0_383
    | spl0_315
    | spl0_206
    | ~ spl0_305
    | ~ spl0_196
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5141,s3276,s6956,s6957,s2893,s6724,s7382,s7337,s5633,s5641,s7810,s6139,s10,s8169,s2944,s7365,s15,s3819,s8034]) ).

cnf(s8317,plain,
    ( ~ spl0_348
    | ~ spl0_346
    | ~ spl0_219
    | ~ spl0_544
    | ~ spl0_217 ),
    inference(rat,[],[s3622,s6957,s7382,s1638,s2143]) ).

cnf(s8318,plain,
    ( ~ spl0_195
    | ~ spl0_377
    | ~ spl0_544
    | spl0_465
    | spl0_383
    | ~ spl0_217
    | spl0_315
    | spl0_206
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7975,s7304,s2151,s8317,s8316,s5476,s7381,s6307,s6260,s2444,s538,s7235,s3819,s8034,s3587,s6962]) ).

cnf(s8319,plain,
    ( spl0_306
    | ~ spl0_58
    | ~ spl0_348
    | spl0_315
    | spl0_206
    | ~ spl0_305
    | ~ spl0_196 ),
    inference(rat,[],[s3276,s5141,s6957,s6956,s6724,s5020,s7337]) ).

cnf(s8320,plain,
    ( ~ spl0_306
    | ~ spl0_367
    | ~ spl0_371
    | spl0_323
    | ~ spl0_348
    | ~ spl0_428
    | spl0_195
    | ~ spl0_377
    | ~ spl0_392
    | spl0_390
    | spl0_223
    | ~ spl0_544
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2395,s3779,s3109,s5206,s4935,s6969,s4300,s6221,s5794,s4936,s131,s8161,s6265,s3011,s1870,s3494,s6258,s2828,s3276,s6957,s7382,s6101,s4238,s5409,s6955,s7380,s2611,s3904,s6446,s2081,s8288,s3841,s2900]) ).

cnf(s8321,plain,
    ( ~ spl0_367
    | spl0_346
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2893,s7382,s6955,s5850,s5141,s4070,s3276,s22,s6957,s342,s6724,s8319,s7337,s8320,s5476,s5795,s3587,s6962,s1835,s7235,s6960,s7365,s7810,s2944,s6139,s10,s1786,s8318,s1798,s6691,s7789,s6777,s6468,s4326,s3819,s8034,s6033,s8225,s4109,s3072,s681,s1208,s2514,s8315,s2429,s1679,s15,s8288]) ).

cnf(s8322,plain,
    ( spl0_346
    | ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3494,s1870,s6258,s4726,s5053,s5120,s6957,s7382,s6101,s4238,s5409,s6955,s7380,s2611,s3904,s2081,s8319,s342,s22,s4070,s6200,s7381,s8321,s2900,s7810,s2944,s7365,s6960,s5795,s15,s1835,s7235,s6139,s10,s1786,s8318,s1798,s6691,s7789,s6777,s6468,s4326,s3819,s8034,s6033,s8225,s4109,s3072,s681,s1208,s2514,s8315,s2429,s1679,s8288]) ).

cnf(s8323,plain,
    ( ~ spl0_348
    | ~ spl0_346
    | ~ spl0_335
    | ~ spl0_544
    | ~ spl0_429
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200 ),
    inference(rat,[],[s4436,s7382,s5014,s3622,s6955,s6957,s6283,s1638,s2103]) ).

cnf(s8324,plain,
    ( ~ spl0_370
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7975,s7304,s2151,s8323,s8322,s2197,s3587,s7789,s6962,s6468,s1653,s4109,s4326,s1208,s3072,s2514,s681,s8315,s2429,s1679,s3819,s8034,s8288]) ).

cnf(s8325,plain,
    ( spl0_306
    | ~ spl0_58
    | ~ spl0_371
    | spl0_377
    | ~ spl0_14
    | spl0_200
    | ~ spl0_313
    | ~ spl0_365
    | ~ spl0_35 ),
    inference(rat,[],[s6553,s3334,s2492,s7877,s7337,s8212]) ).

cnf(s8326,plain,
    ( ~ spl0_103
    | ~ spl0_192
    | ~ spl0_544
    | ~ spl0_196 ),
    inference(rat,[],[s3779,s7316,s3273,s3109]) ).

cnf(s8327,plain,
    ( ~ spl0_309
    | spl0_200
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7444,s4935,s4271,s8326,s1870,s4234,s3494,s6221,s7006,s6258,s3000,s3769,s3718,s3276,s1946,s6957,s131,s7380,s6101,s6955,s8161,s3806,s7971,s3734,s6446,s2081,s8325,s342,s6202,s22,s67,s5644,s5628,s7663,s2900,s2721,s6113,s2122,s7884,s2718,s7365,s2944,s8204,s4172,s2631,s538,s7383,s4260,s8212,s1688,s6976,s4017,s6398,s1,s7763,s10,s1982,s5672,s7225,s8324,s2429,s1679,s3819,s8034,s8288]) ).

cnf(s8328,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3769,s6957,s6855,s3071,s7380,s3806,s3334,s7382,s6747,s7337,s5661,s22,s342,s2423,s8327,s2944,s7365,s5357,s8204,s3545,s6113,s2721,s4172,s2122,s7383,s2631,s7763,s7884,s4260,s538,s10,s8212,s1982,s2429,s1679,s5672,s1688,s7225,s3819,s6976,s4017,s8324,s6398,s1,s8034,s8288]) ).

cnf(s8329,plain,
    ( ~ spl0_195
    | ~ spl0_193
    | ~ spl0_309
    | ~ spl0_371
    | ~ spl0_200
    | ~ spl0_383
    | spl0_206
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3806,s3334,s7380,s7382,s8076,s2492,s342,s7337,s22,s5641,s5644,s1212,s2721,s2122,s6682,s7381,s5615,s4172,s7383,s1737,s2631,s4260,s538,s2429,s1679,s1653]) ).

cnf(s8331,plain,
    ( ~ spl0_324
    | ~ spl0_399
    | ~ spl0_466
    | spl0_544
    | ~ spl0_309
    | ~ spl0_371
    | ~ spl0_200
    | ~ spl0_6
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s8162,s464,s3019,s4484,s8010,s3002]) ).

cnf(s8332,plain,
    ( spl0_465
    | spl0_425
    | spl0_315
    | spl0_195
    | ~ spl0_309
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_428
    | ~ spl0_200
    | ~ spl0_383
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5629,s464,s6037,s171,s142,s4265,s4266,s4273,s6969,s8331,s3577,s7381,s2675,s6956,s8071,s6957,s3276,s5805,s7380,s5121,s5118,s4238,s7382,s3587,s5632,s3921,s6064,s6398,s1,s15,s2880,s5988,s3819,s8034,s8288,s6962]) ).

cnf(s8333,plain,
    ( ~ spl0_86
    | ~ spl0_392
    | ~ spl0_367
    | spl0_195
    | spl0_99
    | ~ spl0_193
    | ~ spl0_309
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s6649,s8242,s464,s5518,s8042,s131,s5230]) ).

cnf(s8336,plain,
    ( ~ spl0_303
    | ~ spl0_368
    | ~ spl0_393
    | ~ spl0_309
    | spl0_484
    | spl0_493
    | ~ spl0_200
    | ~ spl0_279 ),
    inference(rat,[],[s6855,s7337,s7380,s3770,s3585,s2675,s4699]) ).

cnf(s8337,plain,
    ( ~ spl0_304
    | spl0_315
    | ~ spl0_309
    | spl0_346
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8078,s464,s3059,s142,s342,s4821,s7351,s22,s8079,s7380,s2002,s4936,s5805,s5120,s3276,s6957,s8071,s5901,s1688,s2944,s131,s5988,s7383,s4183,s8332,s5431,s307,s8077,s6962,s6468,s681,s8234,s7330,s2952,s8329,s7875,s2525,s3306,s1653,s1679,s15,s4221,s7763,s10,s8169,s5672,s7225,s7365,s3819,s6960,s8328,s6976,s4017,s8324,s6398,s1,s8034,s8288]) ).

cnf(s8338,plain,
    ( spl0_315
    | ~ spl0_309
    | spl0_346
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4626,s1731,s2059,s6327,s2622,s5616,s319,s8045,s8333,s7380,s6682,s6855,s6957,s7381,s7337,s3276,s3770,s8336,s3585,s5141,s4699,s6956,s8337,s7383,s4183,s8332,s5431,s114,s307,s8077,s6962,s1688,s6468,s681,s6960,s2900,s2880,s2975,s131,s8234,s7330,s7365,s2952,s8329,s7875,s2525,s3306,s1653,s1679,s15,s4221,s7763,s10,s8169,s5672,s8328,s6976,s4017,s6398,s1,s7225,s8324,s3819,s8034,s8288]) ).

cnf(s8340,plain,
    ( ~ spl0_324
    | ~ spl0_303
    | spl0_553
    | spl0_192
    | ~ spl0_466
    | spl0_495
    | ~ spl0_365 ),
    inference(rat,[],[s5369,s6037,s272,s4142,s3002]) ).

cnf(s8341,plain,
    ( spl0_273
    | ~ spl0_367
    | ~ spl0_145
    | spl0_195
    | ~ spl0_313
    | ~ spl0_365 ),
    inference(rat,[],[s5332,s4241,s6037,s7351]) ).

cnf(s8342,plain,
    ( ~ spl0_367
    | ~ spl0_145
    | spl0_192
    | spl0_195
    | spl0_99
    | spl0_206
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s272,s6450,s4932,s3109,s3732,s5854,s8341,s4324,s1653,s131]) ).

cnf(s8343,plain,
    ( ~ spl0_309
    | spl0_346
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s4314,s3117,s4484,s7316,s4932,s3109,s3732,s4653,s5854,s8039,s5357,s6955,s3545,s8336,s5982,s7381,s8342,s307,s6957,s8067,s3276,s3755,s3806,s5805,s7382,s7380,s2492,s8076,s342,s7337,s7383,s22,s5641,s5981,s5644,s1212,s2721,s8338,s5988,s8329,s131,s8234,s7875,s7330,s2525,s3306,s1679,s6064,s15,s4221,s1688,s1653,s6468,s681,s8328,s7365,s2900,s2880,s7763,s10,s8169,s5672,s7225,s3819,s6976,s4017,s8324,s6398,s1,s8034,s8288]) ).

cnf(s8344,plain,
    ( ~ spl0_303
    | ~ spl0_367
    | spl0_195
    | ~ spl0_23
    | ~ spl0_421
    | ~ spl0_393
    | spl0_99
    | ~ spl0_315
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_200
    | ~ spl0_383
    | spl0_206
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s3755,s8342,s7382,s307,s5405,s8067,s3179,s3806,s6957,s7380,s3276,s6855,s5141,s3772,s1653,s6468,s681]) ).

cnf(s8345,plain,
    ( ~ spl0_367
    | spl0_195
    | ~ spl0_23
    | ~ spl0_421
    | spl0_223
    | ~ spl0_393
    | spl0_99
    | ~ spl0_315
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_200
    | ~ spl0_383
    | spl0_206
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s3922,s5516,s2718,s5221,s5662,s7382,s2893,s7681,s6955,s8344,s5476]) ).

cnf(s8346,plain,
    ( ~ spl0_368
    | ~ spl0_23
    | ~ spl0_51
    | spl0_223
    | ~ spl0_393
    | spl0_99
    | ~ spl0_315
    | ~ spl0_305
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_348
    | spl0_346
    | ~ spl0_200
    | spl0_206
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_6
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s3109,s5854,s6403,s8039,s6969,s307,s8010,s2393,s8067,s5805,s257,s319,s7971,s7380,s8060,s6101,s3071,s6957,s3769,s7681,s6955,s6218,s7382,s5357,s6747,s3545,s4659,s6232,s1653,s6468,s681,s6113,s7337,s5641,s1212,s171,s2278,s2721,s131]) ).

cnf(s8347,plain,
    ( spl0_346
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3922,s5516,s2718,s4172,s2631,s538,s8345,s7381,s8346,s22,s342,s53,s2423,s7337,s2422,s6205,s7383,s5641,s8026,s5981,s1212,s8225,s6033,s1208,s8343,s7763,s10,s8169,s7365,s6064,s15,s5672,s1688,s7225,s3819,s6976,s4017,s8324,s6398,s1,s8034,s8288,s8328]) ).

cnf(s8349,plain,
    ( ~ spl0_273
    | ~ spl0_368
    | ~ spl0_527
    | spl0_47
    | spl0_223
    | spl0_99
    | spl0_206
    | ~ spl0_196
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s4314,s3117,s4484,s7316,s4932,s3109,s3732,s4653,s5854,s1653,s131]) ).

cnf(s8350,plain,
    ( ~ spl0_371
    | spl0_195
    | spl0_99
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3497,s6403,s7316,s6969,s5367,s3002,s272,s5369,s6037,s7351,s8349,s7381,s8342,s3755,s4658,s7382,s307,s3088,s5357,s8067,s7383,s3806,s5805,s5981,s7380,s1212,s5707,s5409,s5004,s6099,s6101,s6955,s6957,s6283,s1638,s7006,s5144,s2151,s7337,s3673,s7975,s4251,s2900,s2429,s1679,s6064,s15,s1688,s6976,s4017,s6398,s1,s1653,s4708,s6468,s681,s8328,s7225,s8324,s8347,s131,s5988,s3819,s8034,s8288]) ).

cnf(s8351,plain,
    ( ~ spl0_87
    | ~ spl0_607
    | spl0_495
    | ~ spl0_100
    | ~ spl0_346
    | ~ spl0_217 ),
    inference(rat,[],[s2395,s6406,s2468,s3691]) ).

cnf(s8352,plain,
    ( ~ spl0_367
    | spl0_566
    | ~ spl0_145
    | ~ spl0_466
    | ~ spl0_301
    | spl0_195
    | spl0_99
    | spl0_206
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s6332,s5790,s3273,s7382,s5854,s3755,s8341,s8342,s131]) ).

cnf(s8353,plain,
    ( ~ spl0_90
    | ~ spl0_527
    | ~ spl0_110
    | ~ spl0_386
    | ~ spl0_100
    | ~ spl0_552 ),
    inference(rat,[],[s2395,s3117,s5367,s2488]) ).

cnf(s8354,plain,
    ( spl0_47
    | ~ spl0_501
    | ~ spl0_386
    | ~ spl0_368
    | spl0_553
    | spl0_87
    | ~ spl0_466
    | ~ spl0_301
    | ~ spl0_13
    | spl0_223
    | spl0_99
    | ~ spl0_383
    | spl0_206
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4499,s3622,s6031,s7382,s5056,s3755,s5369,s272,s8353,s6037,s7351,s8349,s5357,s171,s7383,s370,s5981,s6064,s6398,s1,s8034,s15,s8288,s4708,s131]) ).

cnf(s8355,plain,
    ( spl0_195
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3799,s5004,s5168,s1212,s8354,s3545,s5982,s6200,s7381,s8352,s3794,s4658,s307,s8351,s5805,s7380,s5409,s6101,s6955,s6957,s6283,s1638,s10,s4930,s5144,s2151,s7763,s7304,s8350,s7379,s5988,s5672,s1688,s6976,s4017,s6398,s1,s6468,s681,s8347,s131,s8234,s7330,s3306,s1653,s7225,s8324,s8328,s1679,s3819,s8034,s8288]) ).

cnf(s8356,plain,
    ( ~ spl0_195
    | ~ spl0_346
    | ~ spl0_217
    | ~ spl0_200
    | ~ spl0_201
    | ~ spl0_383
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3430,s7382,s6957,s6333,s2143,s1638,s7381,s2151,s5615,s7304,s6307,s8204,s4172,s6205,s7383,s2631,s4260,s538,s2429,s1679,s3819,s8034]) ).

cnf(s8357,plain,
    ( ~ spl0_367
    | spl0_392
    | ~ spl0_393
    | ~ spl0_305 ),
    inference(rat,[],[s5516,s3922,s2718]) ).

cnf(s8358,plain,
    ( spl0_99
    | ~ spl0_368
    | ~ spl0_386
    | ~ spl0_466
    | ~ spl0_13
    | ~ spl0_607
    | ~ spl0_301
    | ~ spl0_501
    | spl0_323
    | spl0_47
    | spl0_195
    | ~ spl0_346
    | ~ spl0_217
    | ~ spl0_383
    | spl0_206
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4658,s8354,s307,s8351,s4930,s131,s5988,s3819,s8034,s8288]) ).

cnf(s8359,plain,
    ( ~ spl0_99
    | ~ spl0_31
    | spl0_1
    | ~ spl0_35 ),
    inference(rat,[],[s144,s6244,s274,s7364,s3819,s8034]) ).

cnf(s8360,plain,
    ( ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8358,s6200,s7381,s5892,s8352,s7634,s3794,s5805,s22,s307,s7380,s342,s8351,s5409,s2423,s6101,s7383,s6957,s6955,s5981,s1638,s6925,s1212,s2721,s10,s4930,s2151,s8225,s7763,s7304,s1208,s8350,s8355,s7379,s5988,s8356,s6468,s1653,s6976,s681,s7225,s4017,s1688,s8347,s8328,s8324,s6398,s1,s5672,s3819,s8034,s131,s8359,s8288,s2429,s1679]) ).

cnf(s8361,plain,
    ( ~ spl0_303
    | ~ spl0_309
    | spl0_346
    | spl0_370
    | ~ spl0_367
    | ~ spl0_200
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4063,s5328,s171,s6543,s4357,s5629,s3332,s6875,s8341,s2222,s267,s465,s307,s6957,s8067,s3920,s4237,s6839,s7382,s7337,s3755,s3770,s3585,s5141,s4699,s1653,s6468,s681,s8180,s5127,s8224,s1688,s2975,s7365,s3819,s8034,s131,s8359,s2429,s1679,s2900,s2154,s10,s6139,s7147,s8360,s8288]) ).

cnf(s8362,plain,
    ( ~ spl0_607
    | spl0_484
    | ~ spl0_192
    | ~ spl0_345
    | ~ spl0_365 ),
    inference(rat,[],[s4868,s7380,s5609,s5409]) ).

cnf(s8363,plain,
    ( ~ spl0_304
    | spl0_607
    | ~ spl0_348
    | spl0_346
    | ~ spl0_13
    | spl0_340
    | ~ spl0_528
    | ~ spl0_200
    | spl0_195
    | ~ spl0_345 ),
    inference(rat,[],[s5752,s6114,s4025,s7382,s6839,s3920,s6957,s6101]) ).

cnf(s8364,plain,
    ( spl0_346
    | spl0_370
    | ~ spl0_367
    | ~ spl0_200
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3179,s5405,s6957,s7337,s3920,s2081,s6839,s7382,s6033,s1208,s3755,s8361,s5141,s6956,s8363,s8362,s5225,s2944,s7365,s7379,s5524,s8180,s5127,s5988,s3819,s5509,s8034,s15,s10,s6139,s7147,s8360,s8288]) ).

cnf(s8365,plain,
    ( ~ spl0_484
    | ~ spl0_383
    | ~ spl0_193
    | spl0_1 ),
    inference(rat,[],[s7304,s5225,s2880,s3819,s8034]) ).

cnf(s8366,plain,
    ( ~ spl0_323
    | ~ spl0_346
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s7975,s7304,s3819,s8034]) ).

cnf(s8367,plain,
    ( spl0_370
    | ~ spl0_367
    | ~ spl0_200
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6955,s6957,s6283,s1638,s5144,s2151,s8366,s8362,s8365,s8364,s8224,s1688,s7379,s3819,s8034,s8288,s1653,s6468,s681,s8180,s5127,s8360]) ).

cnf(s8368,plain,
    ( ~ spl0_367
    | ~ spl0_200
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s67,s6235,s3866,s1798,s7788,s3577,s6691,s7789,s6962,s4109,s1208,s3072,s2514,s8367,s2429,s1679,s5127,s8360,s5988,s3819,s8034,s8288,s681]) ).

cnf(s8369,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | ~ spl0_428
    | spl0_484
    | ~ spl0_383
    | ~ spl0_368
    | spl0_195 ),
    inference(rat,[],[s4238,s7382,s7380,s5902,s2675]) ).

cnf(s8370,plain,
    ( ~ spl0_607
    | ~ spl0_386
    | ~ spl0_345
    | ~ spl0_365 ),
    inference(rat,[],[s4685,s7380,s5609,s5409]) ).

cnf(s8371,plain,
    ( spl0_346
    | ~ spl0_13
    | ~ spl0_383
    | spl0_340
    | spl0_607
    | ~ spl0_386
    | ~ spl0_368
    | ~ spl0_200
    | spl0_195
    | spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5752,s6114,s6847,s67,s2223,s6875,s5632,s7382,s6839,s3920,s6957,s5524,s6101,s8363,s6955,s8369,s2154,s7365,s6960,s5127,s5988,s8365,s7379,s3819,s8034]) ).

cnf(s8372,plain,
    ( ~ spl0_346
    | spl0_607
    | ~ spl0_217
    | ~ spl0_200
    | ~ spl0_201
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s6101,s6955,s6957,s6283,s1638,s5144,s2151,s8366]) ).

cnf(s8373,plain,
    ( spl0_370
    | spl0_346
    | ~ spl0_386
    | ~ spl0_368
    | ~ spl0_200
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s8371,s6139,s8224,s7147,s5509,s1688,s15,s8034,s8288,s8370,s5127,s8360]) ).

cnf(s8374,plain,
    ( ~ spl0_200
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6218,s7382,s6956,s3622,s6101,s6957,s6267,s4726,s3584,s7789,s4109,s1208,s3072,s2514,s8373,s7365,s8372,s8370,s6232,s6200,s7381,s8368,s6468,s681,s2429,s1679,s5127,s8360,s5988,s7379,s3819,s8034,s8288,s1653]) ).

cnf(s8375,plain,
    ( ~ spl0_309
    | ~ spl0_367
    | ~ spl0_370
    | spl0_544
    | spl0_200
    | ~ spl0_201
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2002,s6119,s67,s8300,s3866,s3577,s5573,s2052,s8359,s8288,s2429,s1679,s8360]) ).

cnf(s8376,plain,
    ( ~ spl0_301
    | spl0_561
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_367
    | ~ spl0_370
    | spl0_196
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s2081,s2140,s2611,s5405,s3555,s3179,s5739]) ).

cnf(s8377,plain,
    ( spl0_377
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_305
    | ~ spl0_203
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_20 ),
    inference(rat,[],[s22,s5428,s342,s8357,s2492,s7383]) ).

cnf(s8378,plain,
    ( ~ spl0_145
    | ~ spl0_319
    | ~ spl0_367
    | spl0_200
    | spl0_206
    | spl0_195
    | spl0_196
    | ~ spl0_100
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s5058,s3541,s272,s3273,s2732,s5854,s8120,s4631,s3152,s6964,s8180,s5127]) ).

cnf(s8379,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_367
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3833,s5374,s319,s6037,s7351,s2281,s1985,s307,s8378,s3921,s5981,s4183,s8377,s7337,s6062,s6201,s6957,s8376,s4131,s4868,s7380,s4238,s7382,s3755,s5141,s15,s131,s8359,s2429,s1679,s5785,s8365,s7379,s3073,s6976,s4360,s5627,s5522,s2952,s8180,s5127,s8360,s6033,s5573,s7789,s1208,s8375,s1653,s5242,s6964,s6963,s8212,s8374,s6960,s7365,s2944,s3819,s8034,s8288]) ).

cnf(s8380,plain,
    ( spl0_346
    | ~ spl0_367
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s3769,s6062,s6957,s5016,s6955,s8379,s7365,s3819,s5690,s8360,s8034,s8288,s5785,s6113,s7789,s1208,s8375,s6963,s8212,s1653,s5242,s6964,s8374]) ).

cnf(s8381,plain,
    ( ~ spl0_367
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s7337,s3769,s5123,s6957,s5016,s2151,s6955,s6947,s2335,s8380,s6113,s2535,s5573,s7789,s1208,s8375,s1679,s3819,s5690,s8360,s8034,s8288,s1653,s5242,s6964,s6963,s8212,s8374]) ).

cnf(s8382,plain,
    ( ~ spl0_303
    | spl0_484
    | ~ spl0_348
    | ~ spl0_428
    | ~ spl0_609
    | ~ spl0_368
    | spl0_195 ),
    inference(rat,[],[s4238,s7382,s7380,s6218,s2675]) ).

cnf(s8383,plain,
    ( ~ spl0_305
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_348
    | spl0_320
    | spl0_544
    | spl0_206
    | ~ spl0_365 ),
    inference(rat,[],[s7681,s7337,s3769,s6062,s6113,s7789]) ).

cnf(s8384,plain,
    ( spl0_346
    | spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3576,s7380,s5708,s7900,s4397,s7525,s342,s2223,s3866,s6962,s22,s67,s7337,s5573,s2002,s6903,s2052,s6961,s8383,s4726,s2900,s6201,s6959,s6957,s7926,s5016,s6955,s8382,s5225,s2944,s7365,s6960,s5127,s5847,s5690,s8360,s7379,s1653,s5242,s6964,s5785,s6963,s8212,s8374,s6232,s7381,s8381,s5988,s3819,s8034,s8288]) ).

cnf(s8385,plain,
    ( ~ spl0_395
    | ~ spl0_368
    | spl0_544
    | ~ spl0_201
    | spl0_223
    | ~ spl0_100
    | ~ spl0_365 ),
    inference(rat,[],[s4499,s6031,s7351,s6385,s5395,s6233,s6232]) ).

cnf(s8386,plain,
    ( ~ spl0_303
    | spl0_395
    | spl0_495
    | spl0_484
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_609
    | ~ spl0_368
    | spl0_195 ),
    inference(rat,[],[s7983,s7382,s7380,s6218,s2675]) ).

cnf(s8387,plain,
    ( spl0_206
    | spl0_195
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2122,s7525,s7337,s5573,s5168,s2645,s2052,s5635,s6961,s8383,s6957,s5016,s6955,s8386,s8385,s4930,s5225,s2151,s8366,s8384,s6232,s7381,s8381,s5785,s6963,s5242,s8212,s6964,s8374,s1653,s131,s8359,s2429,s1679,s5690,s8360,s5988,s7379,s3819,s8034,s8288]) ).

cnf(s8388,plain,
    ( ~ spl0_206
    | ~ spl0_31
    | spl0_1
    | ~ spl0_35 ),
    inference(rat,[],[s2514,s2827,s4326,s7225,s3819,s8034]) ).

cnf(s8389,plain,
    ( spl0_370
    | spl0_346
    | ~ spl0_192
    | ~ spl0_367
    | ~ spl0_200
    | ~ spl0_195
    | spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6114,s6955,s5752,s5141,s4025,s3755,s7382,s6747,s7337,s5641,s1212,s2122,s6682,s5524,s2154,s4172,s6205,s7383,s10,s2631,s4260,s6139,s5525,s7147,s5509,s1688,s15,s6398,s1,s5127,s8388,s2429,s1679,s538,s7365,s3819,s8034]) ).

cnf(s8390,plain,
    ( ~ spl0_370
    | ~ spl0_367
    | ~ spl0_200
    | spl0_196
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s67,s6235,s3866,s1798,s7788,s7235,s3577,s6691,s7789,s8225,s6962,s4109,s1208,s3072,s2514,s2429,s1679,s3819,s8034,s8288,s5127,s681]) ).

cnf(s8391,plain,
    ( ~ spl0_367
    | ~ spl0_200
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8356,s5525,s8389,s1688,s8390,s8180,s6398,s1,s8034,s5127,s8360,s1653,s8387,s6468,s681,s8388,s8288,s2429,s1679]) ).

cnf(s8392,plain,
    ( spl0_219
    | ~ spl0_195
    | ~ spl0_31
    | spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s2444,s7315,s6205,s5949,s1737,s6307,s3819,s8034,s538]) ).

cnf(s8393,plain,
    ( ~ spl0_200
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s5615,s8391,s1653,s8392,s8387,s8388,s2429,s1679,s8288]) ).

cnf(s8394,plain,
    ( spl0_370
    | spl0_200
    | spl0_196
    | spl0_1 ),
    inference(rat,[],[s10,s6139,s1982,s7147]) ).

cnf(s8395,plain,
    ( ~ spl0_301
    | ~ spl0_303
    | spl0_346
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4323,s4260,s342,s7684,s22,s2611,s7875,s5077,s2081,s2714,s2140,s3271,s5405,s10,s4131,s7789,s3179,s8152,s8376,s6033,s1208,s8375,s3622,s15,s4221,s1653,s8387,s8394,s8393,s2944,s7382,s3755,s5141,s8388,s2429,s1679,s7365,s3819,s8034,s8288,s8180,s5127,s8360]) ).

cnf(s8396,plain,
    ( ~ spl0_309
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2122,s8167,s5573,s8375,s2052,s5635,s1653,s8388,s2429,s1679,s6964,s8394,s8393,s8360,s8288]) ).

cnf(s8397,plain,
    ( ~ spl0_383
    | ~ spl0_421
    | ~ spl0_362
    | ~ spl0_305
    | ~ spl0_192
    | ~ spl0_367
    | ~ spl0_195
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s8377,s4260,s3073]) ).

cnf(s8398,plain,
    ( spl0_395
    | ~ spl0_110
    | ~ spl0_509
    | ~ spl0_302
    | ~ spl0_502
    | spl0_321 ),
    inference(rat,[],[s4810,s2024,s6311,s5742,s7334]) ).

cnf(s8399,plain,
    ( ~ spl0_395
    | ~ spl0_528
    | spl0_223
    | ~ spl0_192
    | ~ spl0_367
    | spl0_200
    | ~ spl0_219
    | spl0_196
    | ~ spl0_100
    | ~ spl0_4 ),
    inference(rat,[],[s5058,s3152,s6331,s272,s307,s4650,s4338,s2479,s3273]) ).

cnf(s8400,plain,
    ( spl0_377
    | ~ spl0_83
    | ~ spl0_305
    | ~ spl0_192
    | ~ spl0_367
    | ~ spl0_100
    | ~ spl0_31 ),
    inference(rat,[],[s2278,s22,s3011,s342,s8357,s4323,s7383]) ).

cnf(s8401,plain,
    ( ~ spl0_274
    | ~ spl0_377
    | ~ spl0_83
    | ~ spl0_192
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(rat,[],[s4484,s464,s3782,s4173,s3997]) ).

cnf(s8402,plain,
    ( spl0_395
    | ~ spl0_509
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_502
    | ~ spl0_305
    | ~ spl0_192
    | ~ spl0_367
    | spl0_321
    | ~ spl0_100
    | ~ spl0_31
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(rat,[],[s7354,s4810,s2596,s6969,s2170,s7587,s7389,s8401,s8400,s171,s8398,s7334]) ).

cnf(s8403,plain,
    ( ~ spl0_421
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_192
    | ~ spl0_367
    | spl0_200
    | ~ spl0_219
    | ~ spl0_195
    | spl0_196
    | ~ spl0_31
    | spl0_1
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s8399,s5524,s8402,s7235,s8397,s5405,s3819,s6064,s6398,s1,s8034,s15,s2737,s8388,s131,s8359,s5476]) ).

cnf(s8404,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3866,s67,s3577,s5077,s6062,s2140,s8403,s7382,s6957,s3755,s8395,s5141,s8392,s8387,s8388,s2429,s1679,s5785,s8394,s8393,s8180,s5127,s8360,s1208,s6033,s8396,s7365,s3819,s8034,s8288]) ).

cnf(s8405,plain,
    ( ~ spl0_361
    | ~ spl0_371
    | ~ spl0_302
    | ~ spl0_348
    | ~ spl0_305
    | ~ spl0_192
    | spl0_320
    | ~ spl0_195
    | spl0_206
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7337,s3769,s7380,s6062,s6113,s5805,s6691,s6205,s7383,s4183,s3755,s5633]) ).

cnf(s8406,plain,
    ( spl0_346
    | ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8167,s6962,s6446,s6062,s2140,s2893,s7382,s8405,s8383,s6959,s6957,s7926,s5016,s6955,s8404,s7365,s3819,s5690,s8034,s8387,s8388,s2429,s1679,s6964,s5785,s8394,s8393,s8288,s8180,s5127,s8360,s5476,s1208,s6033,s8396]) ).

cnf(s8407,plain,
    ( ~ spl0_301
    | ~ spl0_362
    | ~ spl0_346
    | ~ spl0_305
    | ~ spl0_370
    | spl0_200
    | spl0_606
    | ~ spl0_365
    | ~ spl0_20 ),
    inference(rat,[],[s5573,s2335,s7789,s6956,s3622,s5016]) ).

cnf(s8408,plain,
    ( ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s67,s5661,s3866,s7788,s3577,s7789,s6962,s6062,s2140,s8403,s6957,s8407,s7382,s2143,s2151,s8366,s8406,s6033,s1208,s8396,s8180,s5127,s5690,s8034,s8392,s8387,s8388,s2429,s1679,s5785,s8394,s8393,s8360,s8288]) ).

cnf(s8409,plain,
    ( ~ spl0_303
    | spl0_484
    | spl0_495
    | ~ spl0_348
    | spl0_395
    | spl0_544
    | spl0_392
    | ~ spl0_309
    | ~ spl0_609
    | ~ spl0_368
    | spl0_320
    | ~ spl0_365 ),
    inference(rat,[],[s4499,s7351,s6031,s3332,s1226,s6543,s171,s5281,s4921,s4263,s7382,s7380,s6218,s2675]) ).

cnf(s8410,plain,
    ( ~ spl0_319
    | ~ spl0_309
    | ~ spl0_376
    | ~ spl0_368
    | ~ spl0_345 ),
    inference(rat,[],[s67,s2223,s2002,s4726]) ).

cnf(s8411,plain,
    ( ~ spl0_348
    | spl0_484
    | spl0_319
    | spl0_395
    | spl0_544
    | spl0_392
    | ~ spl0_309
    | ~ spl0_609
    | ~ spl0_368
    | spl0_320
    | spl0_200
    | ~ spl0_201
    | spl0_606
    | ~ spl0_100
    | ~ spl0_365 ),
    inference(rat,[],[s5016,s6955,s6957,s8409,s6267,s2975]) ).

cnf(s8412,plain,
    ( ~ spl0_31
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7202,s7365,s8411,s8365,s3882,s2408,s6036,s2634,s142,s7389,s307,s5629,s5691,s4653,s4012,s1659,s2024,s171,s4499,s5624,s6031,s6119,s8410,s3092,s7334,s8385,s3545,s8167,s2444,s5635,s6961,s6232,s1835,s6691,s6962,s4397,s6205,s7383,s5573,s6260,s5999,s7381,s8408,s5785,s8394,s6964,s8393,s8387,s1653,s8388,s5690,s5847,s5127,s8360,s131,s8359,s2429,s1679,s3819,s8034,s8288]) ).

cnf(s8413,plain,
    ( spl0_206
    | spl0_346
    | spl0_195
    | ~ spl0_200
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6593,s3276,s6724,s7774,s7337,s8320,s7810,s6139,s8390,s10,s1798,s3587,s8084,s1786,s5795,s6691,s7789,s6777,s8225,s6962,s1208,s2536,s3306,s6468,s1653,s15,s6398,s1,s2524,s280,s8412,s681,s5988,s6960,s7365,s2944,s3819,s8034,s8288]) ).

cnf(s8414,plain,
    ( spl0_346
    | spl0_195
    | ~ spl0_200
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5805,s7380,s3276,s6258,s6957,s3494,s6724,s7649,s7337,s1870,s8320,s3011,s7810,s1727,s5795,s6139,s1798,s3587,s8225,s6962,s10,s6691,s7789,s4109,s8169,s1208,s3072,s8390,s2514,s7225,s8413,s2944,s7365,s6960,s2429,s1679,s15,s8412,s681,s5988,s3819,s8034,s8288]) ).

cnf(s8415,plain,
    ( spl0_206
    | ~ spl0_346
    | ~ spl0_200
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s7681,s4251,s3673,s6955,s7304,s7266,s2780,s2151,s8323,s2197,s3587,s8084,s7789,s6777,s6962,s1208,s2536,s3306,s6468,s1653,s2429,s1679,s6398,s1,s3819,s8034,s8288,s2524,s280,s8412,s681]) ).

cnf(s8416,plain,
    ( spl0_195
    | ~ spl0_200
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6724,s3923,s7337,s7810,s2045,s7671,s6139,s10,s1786,s8225,s4109,s1208,s3072,s2514,s7225,s8415,s8414,s2429,s1679,s15,s3819,s8034,s8288,s280,s8412,s681]) ).

cnf(s8417,plain,
    ( spl0_206
    | ~ spl0_197
    | ~ spl0_200
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3646,s6307,s3587,s7235,s7789,s8225,s6962,s1208,s2536,s3306,s6468,s1653,s3819,s8034,s8288,s2524,s280,s8412,s681]) ).

cnf(s8418,plain,
    ( ~ spl0_200
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7610,s4109,s1208,s3072,s2514,s7225,s8417,s538,s8416,s681,s2429,s1679,s3819,s8034,s8288,s280,s8412]) ).

cnf(s8419,plain,
    ( ~ spl0_309
    | spl0_195
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3118,s319,s5845,s4650,s5565,s7383,s3109,s8310,s3866,s67,s2002,s6110,s171,s1946,s1226,s2041,s8300,s3577,s5573,s2052,s1996,s7353,s8412,s5988,s3819,s8034,s8288,s5242,s6964,s6963,s8212,s8418]) ).

cnf(s8420,plain,
    ( ~ spl0_196
    | spl0_346
    | ~ spl0_315
    | spl0_309
    | spl0_484
    | spl0_606
    | ~ spl0_193
    | spl0_223
    | spl0_200
    | ~ spl0_367
    | spl0_31
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_365
    | ~ spl0_35 ),
    inference(rat,[],[s2677,s5296,s5328,s171,s4874,s144,s3755,s3731,s274,s7364,s7382,s5100,s7380,s8156,s5405,s6956,s3071,s7774,s53,s8357,s3179,s6396,s5016,s7337,s2422,s8178,s7383,s67,s6957,s5654,s6265,s3595,s8153,s2721,s4708,s2524,s1996,s1208,s6033,s6113,s2827,s2944,s2103,s7365,s7353]) ).

cnf(s8421,plain,
    ( ~ spl0_301
    | ~ spl0_192
    | spl0_196
    | ~ spl0_348
    | ~ spl0_319
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_370
    | spl0_606
    | spl0_200
    | ~ spl0_367
    | spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s8376,s7382,s4131,s3755,s3271,s5141,s6956,s5016,s15,s2827,s3819,s8034,s5127]) ).

cnf(s8422,plain,
    ( spl0_377
    | ~ spl0_363
    | ~ spl0_362
    | spl0_360
    | ~ spl0_528
    | ~ spl0_192
    | ~ spl0_487
    | ~ spl0_387
    | ~ spl0_502
    | ~ spl0_305
    | spl0_484
    | ~ spl0_193
    | ~ spl0_367
    | spl0_31
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_365
    | ~ spl0_35 ),
    inference(rat,[],[s2677,s5296,s5742,s171,s7351,s144,s1985,s3731,s274,s7364,s67,s8156,s3279,s3011,s53,s8357,s6181,s2422,s8178,s7383,s2524]) ).

cnf(s8423,plain,
    ( spl0_395
    | ~ spl0_509
    | ~ spl0_302
    | ~ spl0_502
    | ~ spl0_370
    | spl0_195
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_35 ),
    inference(rat,[],[s6646,s8398,s144,s2082,s307,s142,s5606,s4500,s8242,s4253,s7334,s2952]) ).

cnf(s8424,plain,
    ( spl0_346
    | ~ spl0_387
    | spl0_309
    | spl0_195
    | spl0_200
    | ~ spl0_367
    | spl0_31
    | spl0_1
    | ~ spl0_365
    | ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s4338,s131,s4484,s7364,s4357,s8423,s4183,s8422,s7380,s5405,s4238,s7382,s3755,s3271,s5141,s7337,s6956,s6062,s8383,s6957,s8421,s5524,s8180,s5127,s8420,s7365,s6960,s6064,s6398,s1,s15,s1996,s5988,s5356,s6963,s8212,s8365,s6976,s4360,s5627,s5522,s2952,s7379,s5476,s6033,s6113,s2827,s6120,s7789,s1208,s5242,s6964,s7353,s3819,s8034]) ).

cnf(s8425,plain,
    ( spl0_195
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s3673,s7337,s3605,s6062,s6957,s5016,s6955,s2335,s8424,s5573,s7789,s1208,s8419,s6963,s5356,s5242,s8212,s2952,s2429,s1679,s6964,s1996,s7353,s8418,s3819,s8034,s8288,s8412]) ).

cnf(s8426,plain,
    ( ~ spl0_315
    | ~ spl0_38
    | spl0_387
    | spl0_200
    | spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s8394,s2721,s5573]) ).

cnf(s8427,plain,
    ( spl0_370
    | ~ spl0_429
    | spl0_200
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s7884,s1982,s1688]) ).

cnf(s8428,plain,
    ( ~ spl0_377
    | ~ spl0_195
    | ~ spl0_41
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(rat,[],[s1835,s7235,s1998,s4260]) ).

cnf(s8429,plain,
    ( ~ spl0_309
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2444,s5635,s6682,s8427,s6962,s8426,s2012,s2052,s2827,s8418,s7383,s8428,s8425,s280,s8412,s3819,s8034,s8288,s2429,s1679]) ).

cnf(s8430,plain,
    ( ~ spl0_367
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7235,s6307,s2631,s3646,s4172,s8357,s1208,s8429,s7383,s8428,s538,s8425,s2429,s1679,s3819,s8034,s8288,s2524,s280,s8412]) ).

cnf(s8431,plain,
    ( ~ spl0_309
    | ~ spl0_200
    | ~ spl0_41
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_35 ),
    inference(rat,[],[s1653,s7225,s3306,s2514]) ).

cnf(s8432,plain,
    ( spl0_370
    | ~ spl0_200
    | spl0_195
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2536,s8225,s6468,s8224,s7225,s1688,s2524,s681,s1208,s8431,s280,s8412,s3819,s8034,s8288,s2429,s1679]) ).

cnf(s8433,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | ~ spl0_544
    | ~ spl0_429
    | spl0_401 ),
    inference(rat,[],[s6553,s5207,s3622,s5014,s3587]) ).

cnf(s8434,plain,
    ( spl0_346
    | ~ spl0_198
    | ~ spl0_388
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_544
    | spl0_383
    | ~ spl0_429
    | spl0_401
    | spl0_195
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s6258,s7380,s3494,s5805,s2828,s3276,s6957,s8433,s6955,s8382,s7810,s5225,s2944,s7365,s6960,s7379,s6232,s5988,s5795,s10,s1786]) ).

cnf(s8435,plain,
    ( ~ spl0_200
    | spl0_195
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6724,s3923,s7337,s7810,s2045,s7671,s8415,s8434,s3841,s1870,s5127,s3011,s7788,s6139,s1727,s10,s1798,s3587,s1786,s6691,s7789,s8225,s6962,s4109,s3072,s8432,s1208,s8431,s681,s2429,s1679,s15,s280,s7381,s8430,s2202,s5988,s3819,s8034,s8288,s8412]) ).

cnf(s8436,plain,
    ( ~ spl0_306
    | ~ spl0_303
    | ~ spl0_309
    | ~ spl0_370
    | spl0_320
    | spl0_200
    | spl0_606
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s2944,s3204,s8312,s3734]) ).

cnf(s8437,plain,
    ( spl0_346
    | ~ spl0_303
    | spl0_195
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s5225,s8382,s2944,s7365,s6960,s7379,s6232,s5988]) ).

cnf(s8438,plain,
    ( ~ spl0_196
    | ~ spl0_145
    | ~ spl0_411
    | spl0_99
    | ~ spl0_414
    | ~ spl0_371
    | ~ spl0_323
    | ~ spl0_361
    | spl0_306
    | ~ spl0_301
    | spl0_315
    | ~ spl0_309
    | spl0_544
    | ~ spl0_201
    | spl0_223
    | spl0_31
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s7800,s6969,s3063,s5616,s257,s319,s8114,s53,s2773,s67,s6461,s5741,s7337,s131]) ).

cnf(s8439,plain,
    ( ~ spl0_301
    | spl0_315
    | ~ spl0_309
    | spl0_200
    | spl0_195
    | ~ spl0_368
    | spl0_31
    | spl0_1
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s2488,s1731,s272,s3843,s5058,s8438,s5610,s3152,s307,s8046,s3541,s8385,s131,s8234,s2510,s7214,s1724,s7304,s6218,s8365,s5225,s7382,s2675,s3088,s7380,s5707,s6855,s6099,s2696,s5168,s8437,s7337,s8436,s6956,s5016,s2524,s5356,s2952,s6232,s5242,s6964,s1996,s7353,s6200,s2827,s7379,s5635,s6963,s8212,s7383,s5708,s2202,s5988,s3819,s8034]) ).

cnf(s8440,plain,
    ( spl0_87
    | ~ spl0_411
    | spl0_196
    | ~ spl0_418
    | ~ spl0_304
    | spl0_346
    | spl0_360
    | ~ spl0_421
    | ~ spl0_319
    | ~ spl0_348
    | spl0_200
    | spl0_1 ),
    inference(rat,[],[s2072,s113,s2732,s8008,s272,s2975,s5058,s131,s5035,s3152,s274,s307,s3819,s8034,s6964,s5127]) ).

cnf(s8441,plain,
    ( ~ spl0_411
    | ~ spl0_465
    | spl0_196
    | ~ spl0_304
    | spl0_346
    | spl0_360
    | ~ spl0_421
    | ~ spl0_319
    | ~ spl0_348
    | ~ spl0_393
    | spl0_315
    | ~ spl0_47
    | spl0_200
    | spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s5616,s6327,s319,s7389,s2281,s3168,s8440,s7525,s6962]) ).

cnf(s8442,plain,
    ( spl0_411
    | ~ spl0_340
    | ~ spl0_466
    | ~ spl0_304
    | ~ spl0_302
    | spl0_544
    | ~ spl0_201
    | spl0_223
    | ~ spl0_368
    | ~ spl0_365 ),
    inference(rat,[],[s5448,s272,s131,s4810,s3002,s8385,s4660,s5368,s3541]) ).

cnf(s8443,plain,
    ( spl0_346
    | spl0_360
    | ~ spl0_63
    | ~ spl0_421
    | ~ spl0_348
    | ~ spl0_302
    | ~ spl0_393
    | spl0_315
    | ~ spl0_47
    | spl0_200
    | spl0_195
    | ~ spl0_368
    | spl0_31
    | spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s2488,s1731,s272,s6327,s2890,s5616,s319,s2281,s8440,s8442,s5752,s5127,s3276,s5712,s6114,s7525,s6955,s8437,s5988,s5242,s6964,s6200,s2827,s7379,s6962,s6267,s7353,s3819,s8034]) ).

cnf(s8444,plain,
    ( ~ spl0_309
    | spl0_195
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8017,s1724,s7382,s8365,s5836,s2675,s6956,s7380,s7525,s6855,s5168,s8443,s4432,s6861,s1870,s67,s7337,s4726,s2002,s2645,s6267,s2565,s6957,s8439,s6962,s7383,s5573,s5635,s5708,s8216,s2052,s2429,s1679,s2202,s5988,s1996,s7353,s8412,s6200,s2827,s7381,s8430,s7379,s3819,s8034,s8288,s6963,s8212,s8435]) ).

cnf(s8445,plain,
    ( ~ spl0_303
    | ~ spl0_387
    | spl0_195
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s8437,s2335]) ).

cnf(s8446,plain,
    ( spl0_195
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s3673,s7337,s7365,s3605,s6062,s8383,s6957,s5016,s6955,s8445,s5573,s7789,s1208,s8444,s6963,s1996,s5242,s8212,s2827,s7353,s6964,s8435,s5356,s2952,s3819,s8034,s8288,s8412,s7381,s8430]) ).

cnf(s8447,plain,
    ( ~ spl0_200
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5573,s7610,s7225,s1208,s8417,s8431,s2429,s1679,s3819,s8034,s8288,s280,s8412,s538,s5999,s8446,s7381,s8430]) ).

cnf(s8448,plain,
    ( spl0_370
    | ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5902,s7382,s6956,s3622,s7764,s6957,s8153,s1208,s7365,s6960,s5628,s8204,s4172,s8426,s7763,s2631,s2122,s10,s6976,s7663,s8427,s8394,s1982,s4017,s1688,s6398,s1,s5672,s2524,s538,s5999,s7381,s8430,s7383,s8428,s8446,s280,s2429,s1679,s2827,s1996,s7353,s8447,s3819,s8034,s8288,s8412]) ).

cnf(s8449,plain,
    ( spl0_395
    | spl0_319
    | ~ spl0_223
    | ~ spl0_501
    | spl0_544
    | ~ spl0_309
    | ~ spl0_201
    | ~ spl0_393
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_365 ),
    inference(rat,[],[s5629,s2024,s171,s4499,s5624,s6031,s6119,s2634,s3092,s6174,s7334]) ).

cnf(s8450,plain,
    ( spl0_99
    | spl0_495
    | spl0_319
    | ~ spl0_512
    | ~ spl0_303
    | spl0_544
    | ~ spl0_309
    | ~ spl0_201
    | ~ spl0_37
    | ~ spl0_365 ),
    inference(rat,[],[s4121,s319,s171,s4142,s2650,s5629,s2024,s4499,s6031,s6119,s2634]) ).

cnf(s8451,plain,
    ( spl0_346
    | ~ spl0_301
    | spl0_544
    | spl0_392
    | spl0_315
    | ~ spl0_370
    | spl0_200
    | ~ spl0_393
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_37
    | spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s1954,s7364,s8450,s3376,s2384,s8449,s3271,s7146,s6139,s3244,s10,s6232,s5228,s6836,s2611,s6218,s3334,s7382,s6747,s5744,s7337,s3585,s6956,s3204,s7764,s2944,s7365,s6960,s7353,s3819,s8034,s6961,s6691,s3545]) ).

cnf(s8452,plain,
    ( ~ spl0_417
    | spl0_392
    | ~ spl0_393
    | ~ spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s7382,s7337,s3334,s2081]) ).

cnf(s8453,plain,
    ( ~ spl0_301
    | spl0_417
    | ~ spl0_47
    | spl0_315
    | ~ spl0_370
    | spl0_200
    | ~ spl0_393
    | ~ spl0_195
    | ~ spl0_368
    | ~ spl0_37
    | spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s5004,s6955,s7006,s3175,s5168,s8451,s2444,s8167,s6962,s6964]) ).

cnf(s8454,plain,
    ( ~ spl0_303
    | ~ spl0_319
    | spl0_417
    | ~ spl0_370
    | spl0_1 ),
    inference(rat,[],[s6139,s10,s7146,s2154,s3271,s2611,s2696]) ).

cnf(s8455,plain,
    ( ~ spl0_365
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8441,s8442,s3275,s5633,s5752,s5127,s6959,s6114,s3276,s7926,s2680,s5712,s5168,s7525,s6955,s8454,s7382,s6747,s67,s7337,s2002,s2645,s6267,s2565,s6957,s8453,s8452,s5357,s3545,s8167,s2444,s5635,s8216,s6961,s6691,s6962,s5573,s8448,s1996,s7353,s6964,s8447,s7383,s5999,s8428,s8446,s7381,s8430,s280,s2524,s8412,s3819,s8034,s8288,s2429,s1679]) ).

cnf(s8456,plain,
    ( ~ spl0_371
    | ~ spl0_393
    | spl0_47
    | ~ spl0_1
    | ~ spl0_58
    | ~ spl0_31
    | spl0_223
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2087,s7380,s2151,s3059,s5176,s5641]) ).

cnf(s8457,plain,
    ( spl0_371
    | ~ spl0_14
    | spl0_383
    | spl0_370
    | ~ spl0_193
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s2675,s7380,s6956,s5225,s5520,s6115,s7304,s1690,s7381,s5510,s1724]) ).

cnf(s8458,plain,
    ( ~ spl0_315
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_368
    | ~ spl0_58
    | ~ spl0_31
    | ~ spl0_309
    | spl0_223
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s5708,s8456,s4351,s1212]) ).

cnf(s8459,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_368
    | ~ spl0_31
    | spl0_206
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(rat,[],[s7975,s2151,s8437,s2067]) ).

cnf(s8460,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | ~ spl0_429
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_345
    | ~ spl0_24 ),
    inference(rat,[],[s5609,s4752,s6101,s5014]) ).

cnf(s8461,plain,
    ( ~ spl0_309
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3494,s6258,s6202,s7380,s5837,s2087,s7382,s2151,s8017,s7506,s4432,s2828,s6957,s8460,s6955,s8459,s6962,s8458,s8457,s2295,s6139,s7147,s5127,s1870,s4686,s4726,s6200,s7381,s5510,s10,s342,s1786,s1724,s22,s67,s4137,s5975,s2002,s3306,s2052,s1679,s7379,s6149,s1653,s7225,s7378,s8455,s5988]) ).

cnf(s8462,plain,
    ( ~ spl0_367
    | spl0_392
    | spl0_47
    | ~ spl0_5
    | ~ spl0_305
    | ~ spl0_313
    | ~ spl0_20 ),
    inference(rat,[],[s7383,s5981,s8357,s5525]) ).

cnf(s8463,plain,
    ( spl0_346
    | ~ spl0_364
    | ~ spl0_13
    | spl0_195
    | spl0_465 ),
    inference(rat,[],[s6553,s5632,s4238,s2154,s6960,s1786]) ).

cnf(s8464,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | ~ spl0_393
    | ~ spl0_13
    | ~ spl0_345
    | spl0_192
    | ~ spl0_386
    | ~ spl0_100
    | ~ spl0_31
    | spl0_47
    | spl0_1
    | spl0_309
    | ~ spl0_217
    | spl0_195
    | ~ spl0_4
    | spl0_465
    | ~ spl0_20 ),
    inference(rat,[],[s5369,s6443,s272,s4935,s4964,s2653,s5296,s3784,s7334,s4357,s171,s4658,s267,s370,s307,s8351,s4930,s8366,s8463,s7380,s4685,s5609,s6101,s6396,s1786]) ).

cnf(s8465,plain,
    ( spl0_346
    | spl0_417
    | ~ spl0_13
    | spl0_195
    | spl0_465 ),
    inference(rat,[],[s6552,s3806,s8463,s2154,s1786]) ).

cnf(s8466,plain,
    ( ~ spl0_315
    | spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2151,s1638,s8366,s8465,s3920,s6957,s8464,s6955,s8445,s7383,s5975,s6766,s1786,s10,s6139,s7147,s5127,s4686,s4726,s6200,s7381,s8462,s131,s8359,s2524,s3342,s2536,s6113,s1212,s2535,s2429,s1679,s3953,s7379,s1688,s6468,s681,s6149,s1653,s7225,s7378,s8455,s5988,s1208,s8461,s6398,s1]) ).

cnf(s8467,plain,
    ( ~ spl0_383
    | spl0_417
    | ~ spl0_301
    | ~ spl0_303
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s6553,s4238,s5632,s7380,s6105,s5222,s10,s2103,s8465,s7365,s6960,s2335,s5975,s3953,s1688,s1653,s7225]) ).

cnf(s8468,plain,
    ( ~ spl0_301
    | ~ spl0_303
    | spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4251,s8437,s8457,s7381,s10,s5525,s1786,s8467,s2081,s2140,s6724,s2429,s1679,s7378,s8455,s7379,s1688,s1208,s8461,s6398,s1,s8466]) ).

cnf(s8469,plain,
    ( spl0_346
    | spl0_417
    | ~ spl0_302
    | ~ spl0_303
    | spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | spl0_465 ),
    inference(rat,[],[s7147,s6139,s3276,s10,s5141,s8465,s7365,s7225]) ).

cnf(s8470,plain,
    ( spl0_383
    | spl0_1
    | spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_366 ),
    inference(rat,[],[s4686,s7147,s7972,s6139,s10,s1786,s15]) ).

cnf(s8471,plain,
    ( ~ spl0_303
    | spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3920,s8469,s6957,s2335,s8468,s3953,s5975,s8470,s7225,s7378,s8455]) ).

cnf(s8472,plain,
    ( spl0_346
    | ~ spl0_304
    | ~ spl0_383
    | ~ spl0_429
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | spl0_465
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s5014,s2081,s6957,s3806,s4866,s7380,s4238,s7382,s5632,s6959,s2103,s2214,s5901,s7365,s6960,s1688,s1653,s7225]) ).

cnf(s8473,plain,
    ( ~ spl0_301
    | ~ spl0_346
    | ~ spl0_304
    | ~ spl0_383
    | spl0_315
    | spl0_1
    | spl0_309
    | ~ spl0_217
    | spl0_206
    | ~ spl0_313
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | spl0_465
    | ~ spl0_366
    | ~ spl0_20
    | ~ spl0_279 ),
    inference(rat,[],[s1905,s8464,s4686,s131,s4726,s6200,s8359,s7383,s7381,s4137,s5981,s8462,s10,s2045,s5168,s6105,s7304,s3933,s2520,s5004,s5014,s2429,s7379,s6149,s1653,s5988,s1208,s6398,s1,s6962,s3921]) ).

cnf(s8474,plain,
    ( spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s6769,s4251,s3673,s7304,s7266,s2151,s1638,s6957,s8473,s8472,s6955,s8471,s5975,s8470,s6962,s8466,s2429,s1679,s3953,s7378,s8455,s1688,s6468,s7225,s681,s8461]) ).

cnf(s8475,plain,
    ( spl0_346
    | ~ spl0_303
    | ~ spl0_1
    | spl0_206
    | ~ spl0_436
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_366 ),
    inference(rat,[],[s4209,s5506,s4287,s7380,s1690,s5222,s2067,s2103,s7365,s6960,s1653]) ).

cnf(s8476,plain,
    ( ~ spl0_303
    | ~ spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s8017,s4432,s7382,s1870,s2105,s4726,s7381,s5510,s10,s1786,s1724,s5975,s6283,s2335,s8475,s3271,s2952,s6149,s1653,s7225,s5988]) ).

cnf(s8477,plain,
    ( ~ spl0_301
    | ~ spl0_345
    | ~ spl0_28
    | ~ spl0_371
    | ~ spl0_304
    | ~ spl0_1
    | ~ spl0_305
    | ~ spl0_217
    | ~ spl0_24 ),
    inference(rat,[],[s342,s2524,s4820,s2536,s4752,s2122,s5609,s8460,s6101]) ).

cnf(s8478,plain,
    ( spl0_346
    | ~ spl0_304
    | spl0_38
    | ~ spl0_1
    | spl0_309
    | ~ spl0_217
    | ~ spl0_313
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s2079,s1241,s5528,s5752,s6114,s2828,s6957,s8477,s5127,s22,s67,s2219,s24,s5625,s6959,s2214,s5901,s2944,s7365,s6960,s1208,s2295]) ).

cnf(s8479,plain,
    ( ~ spl0_9
    | ~ spl0_607
    | ~ spl0_346
    | ~ spl0_200 ),
    inference(rat,[],[s5609,s5127,s2651,s2219]) ).

cnf(s8480,plain,
    ( spl0_9
    | ~ spl0_346
    | ~ spl0_1
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_20 ),
    inference(rat,[],[s7975,s5736,s8457,s10,s1928,s2693,s2353,s5988,s7379]) ).

cnf(s8481,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6926,s5127,s2651,s2219,s8480,s8478,s6955,s8476,s83,s8474,s8461,s6468,s7225,s1688,s7378,s8455,s681]) ).

cnf(s8482,plain,
    ( ~ spl0_301
    | spl0_346
    | ~ spl0_348
    | ~ spl0_303
    | spl0_1
    | spl0_315
    | ~ spl0_305
    | ~ spl0_370
    | spl0_223
    | spl0_195
    | ~ spl0_11
    | spl0_465
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s2680,s6400,s7146,s5636,s5620,s6139,s7264,s1653,s5739,s10,s6149,s4865,s8465,s2611,s8454,s2081,s2140,s6724,s6962]) ).

cnf(s8483,plain,
    ( spl0_346
    | ~ spl0_303
    | spl0_1
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6311,s171,s4626,s4173,s1731,s4352,s5757,s6332,s7334,s5405,s1870,s6237,s7337,s4868,s4685,s3904,s4237,s7380,s2680,s4238,s1727,s7382,s1798,s4124,s7695,s7810,s7146,s2633,s2975,s1946,s3204,s6182,s6139,s7674,s7264,s1653,s5127,s10,s6149,s4865,s8465,s2611,s8454,s3920,s6957,s8482,s7381,s5225,s8437,s2944,s6960,s3953,s7378,s8455,s5988,s7379,s1208,s2514,s2429,s1679,s4109,s3072,s681,s15,s2780,s8481]) ).

cnf(s8484,plain,
    ( ~ spl0_417
    | spl0_315
    | ~ spl0_305
    | ~ spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s6724,s6957,s7337,s3920,s2081]) ).

cnf(s8485,plain,
    ( ~ spl0_303
    | spl0_1
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2696,s8483,s8484,s4109,s3072,s681,s1208,s2514,s8481,s2429,s1679]) ).

cnf(s8486,plain,
    ( ~ spl0_371
    | ~ spl0_383
    | ~ spl0_428
    | spl0_417
    | spl0_195
    | spl0_465 ),
    inference(rat,[],[s4238,s7380,s7382,s3806,s5632]) ).

cnf(s8487,plain,
    ( ~ spl0_274
    | spl0_321
    | ~ spl0_100
    | ~ spl0_360
    | ~ spl0_607
    | spl0_223
    | ~ spl0_366 ),
    inference(rat,[],[s6406,s7316,s2653,s6150,s4650]) ).

cnf(s8488,plain,
    ( ~ spl0_383
    | spl0_206
    | ~ spl0_607
    | ~ spl0_306
    | ~ spl0_570
    | ~ spl0_348
    | ~ spl0_428
    | ~ spl0_6
    | spl0_1
    | spl0_417
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | spl0_465
    | ~ spl0_366
    | ~ spl0_20 ),
    inference(rat,[],[s6406,s7316,s4964,s6103,s4484,s3343,s4357,s6332,s5660,s3875,s7389,s8487,s2975,s2737,s131,s8161,s5636,s2680,s7146,s8486,s5981,s1798,s2718,s7381,s7695,s3921,s5640,s6400]) ).

cnf(s8489,plain,
    ( spl0_386
    | ~ spl0_381
    | spl0_206
    | ~ spl0_301
    | spl0_323
    | ~ spl0_193
    | spl0_195 ),
    inference(rat,[],[s3177,s5522,s7382,s7381,s5850,s6200]) ).

cnf(s8490,plain,
    ( spl0_420
    | ~ spl0_609
    | ~ spl0_100
    | ~ spl0_364
    | ~ spl0_371
    | ~ spl0_301
    | spl0_346
    | ~ spl0_304
    | ~ spl0_200 ),
    inference(rat,[],[s4850,s142,s3019,s6509,s6969,s2396,s4528,s7892,s6406,s6543,s6960,s6101]) ).

cnf(s8491,plain,
    ( spl0_206
    | ~ spl0_301
    | spl0_323
    | ~ spl0_348
    | spl0_346
    | ~ spl0_304
    | ~ spl0_6
    | spl0_1
    | ~ spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4399,s5058,s5368,s319,s272,s4935,s5000,s4964,s2653,s8490,s6232,s7381,s3158,s3498,s5524,s4025,s2975,s7382,s131,s4238,s8161,s5528,s7380,s1241,s5636,s67,s4685,s2680,s6847,s5609,s5127,s4686,s8489,s5641,s7687,s1724,s8488,s6960,s6139,s10,s8465,s8484,s1208,s2514,s2429,s1679,s3953,s7378,s8455,s5014,s6400,s6101,s6962,s4109,s3072,s681]) ).

cnf(s8492,plain,
    ( ~ spl0_301
    | spl0_323
    | ~ spl0_348
    | spl0_346
    | ~ spl0_304
    | ~ spl0_6
    | spl0_1
    | ~ spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s67,s4647,s5077,s2680,s5712,s1241,s6182,s8491,s6400,s4216,s6101,s5014,s6396,s1208,s2514,s2429,s1679,s6962,s4109,s3072,s681]) ).

cnf(s8493,plain,
    ( ~ spl0_367
    | spl0_392
    | ~ spl0_381
    | ~ spl0_429
    | spl0_195 ),
    inference(rat,[],[s5656,s3160,s5522,s2718]) ).

cnf(s8494,plain,
    ( spl0_360
    | ~ spl0_388
    | spl0_390
    | ~ spl0_364 ),
    inference(rat,[],[s3494,s6258]) ).

cnf(s8495,plain,
    ( spl0_99
    | spl0_31
    | spl0_38
    | ~ spl0_609
    | ~ spl0_51
    | ~ spl0_418
    | ~ spl0_364
    | ~ spl0_348
    | ~ spl0_304 ),
    inference(rat,[],[s7443,s7892,s2940,s5000,s3977,s160,s2975,s131]) ).

cnf(s8496,plain,
    ( spl0_306
    | spl0_196
    | spl0_390
    | ~ spl0_381
    | ~ spl0_371
    | ~ spl0_386
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_319
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_429
    | ~ spl0_224
    | spl0_309
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s5624,s171,s5732,s144,s4875,s274,s7364,s8495,s342,s22,s67,s2680,s6847,s8494,s1870,s4726,s6232,s7381,s8493,s5221,s53,s5662,s5025,s7681,s4820,s5892,s7337,s5988,s1208]) ).

cnf(s8497,plain,
    ( spl0_360
    | ~ spl0_306
    | ~ spl0_345
    | spl0_493
    | spl0_390
    | ~ spl0_381
    | ~ spl0_364
    | ~ spl0_319
    | spl0_323
    | ~ spl0_304
    | ~ spl0_429
    | spl0_320
    | spl0_195 ),
    inference(rat,[],[s7803,s67,s1241,s5661,s3011,s8493,s7381,s4726,s1870,s8494]) ).

cnf(s8498,plain,
    ( ~ spl0_367
    | spl0_192
    | ~ spl0_345
    | ~ spl0_381
    | spl0_195 ),
    inference(rat,[],[s3501,s3830,s5522,s1870]) ).

cnf(s8499,plain,
    ( spl0_184
    | spl0_273
    | ~ spl0_324
    | ~ spl0_506
    | ~ spl0_306 ),
    inference(rat,[],[s4158,s319,s171,s2632,s5979]) ).

cnf(s8500,plain,
    ( spl0_420
    | ~ spl0_533
    | ~ spl0_506
    | spl0_321
    | ~ spl0_100
    | ~ spl0_609
    | ~ spl0_47
    | ~ spl0_306
    | spl0_383
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_193
    | ~ spl0_20 ),
    inference(rat,[],[s2281,s319,s307,s3274,s3882,s142,s464,s8499,s6222,s7389,s3080,s4810,s6969,s7892]) ).

cnf(s8501,plain,
    ( spl0_418
    | ~ spl0_100
    | ~ spl0_609
    | ~ spl0_360
    | ~ spl0_47
    | ~ spl0_306
    | spl0_383
    | ~ spl0_361
    | ~ spl0_364
    | spl0_206
    | ~ spl0_302
    | spl0_346
    | ~ spl0_304
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_193
    | spl0_223
    | ~ spl0_436
    | ~ spl0_20 ),
    inference(rat,[],[s2281,s307,s319,s4282,s4158,s171,s5854,s4650,s5945,s2653,s8500,s4230,s6198,s5611,s6121,s5894,s2900,s6959,s4287,s4209,s5506,s6960,s2737]) ).

cnf(s8502,plain,
    ( spl0_420
    | ~ spl0_418
    | spl0_321
    | spl0_99
    | ~ spl0_609
    | ~ spl0_360
    | ~ spl0_306
    | ~ spl0_371
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_6
    | spl0_309
    | ~ spl0_24 ),
    inference(rat,[],[s4484,s4850,s3782,s1659,s171,s2383,s319,s5373,s3977,s7351,s3952,s2940,s4810,s6969,s7892,s131]) ).

cnf(s8503,plain,
    ( spl0_99
    | ~ spl0_609
    | ~ spl0_360
    | ~ spl0_306
    | spl0_383
    | ~ spl0_361
    | spl0_206
    | ~ spl0_302
    | spl0_323
    | ~ spl0_348
    | spl0_346
    | ~ spl0_304
    | ~ spl0_6
    | ~ spl0_429
    | spl0_309
    | ~ spl0_193
    | spl0_223
    | ~ spl0_436
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s324,s6226,s7389,s113,s171,s4935,s4650,s5000,s5945,s2653,s8502,s8501,s2975,s2737,s131,s1208,s2900,s5641,s6959,s4287,s4209,s5506,s6960,s7380,s4866,s2103,s1653,s7378,s8455]) ).

cnf(s8504,plain,
    ( spl0_206
    | spl0_346
    | spl0_1
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3353,s8499,s8009,s8501,s6121,s324,s2680,s171,s113,s5636,s144,s2281,s464,s8161,s274,s7364,s8503,s6232,s7381,s8498,s3887,s8497,s5641,s8496,s5127,s2900,s4686,s5795,s1724,s6959,s5850,s4124,s4287,s7382,s4209,s4238,s5506,s7380,s4866,s2103,s6149,s1653,s7378,s8455,s2952,s5785,s1208,s2514,s2429,s1679,s6962,s4109,s3072,s681,s6960,s6957,s8492,s2944,s7365,s6955,s8485,s6064,s6398,s1,s15,s8481,s7379,s5988]) ).

cnf(s8505,plain,
    ( ~ spl0_383
    | spl0_493
    | ~ spl0_37
    | ~ spl0_302
    | ~ spl0_570
    | ~ spl0_428
    | ~ spl0_304
    | spl0_417
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_370
    | spl0_223
    | spl0_195
    | spl0_465
    | ~ spl0_366
    | ~ spl0_20 ),
    inference(rat,[],[s7338,s3904,s7525,s7380,s2680,s4238,s6265,s7382,s7146,s1798,s4124,s8486,s7695]) ).

cnf(s8506,plain,
    ( spl0_306
    | spl0_196
    | ~ spl0_386
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_371
    | spl0_390
    | ~ spl0_381
    | ~ spl0_37
    | spl0_31
    | ~ spl0_302
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_429
    | ~ spl0_224
    | spl0_309
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s2313,s689,s274,s7364,s8495,s2680,s6232,s8494,s7381,s1870,s8493,s3755,s5221,s3254,s53,s4072,s5662,s1257,s5025,s7681,s8496,s7337,s5988,s1208]) ).

cnf(s8507,plain,
    ( spl0_360
    | ~ spl0_609
    | ~ spl0_468
    | ~ spl0_47
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_515
    | ~ spl0_364
    | spl0_390
    | spl0_383
    | ~ spl0_37
    | ~ spl0_302
    | ~ spl0_14
    | ~ spl0_432
    | spl0_323
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_19
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_20 ),
    inference(rat,[],[s5302,s319,s142,s2632,s3080,s2082,s6969,s8500,s6872,s3000,s4208,s5611,s6121,s2633,s1946,s4072,s7674,s3755,s6149,s1870,s8497,s8494,s5785,s3204,s1724,s5127,s4686,s5850]) ).

cnf(s8508,plain,
    ( ~ spl0_100
    | ~ spl0_201
    | ~ spl0_533
    | ~ spl0_506
    | ~ spl0_360
    | ~ spl0_609
    | ~ spl0_47
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_364
    | spl0_383
    | spl0_493
    | spl0_31
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_193
    | ~ spl0_20 ),
    inference(rat,[],[s4158,s319,s171,s5838,s5565,s5945,s2653,s8500,s2736,s605]) ).

cnf(s8509,plain,
    ( spl0_100
    | ~ spl0_206
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200 ),
    inference(rat,[],[s7362,s3353,s131]) ).

cnf(s8510,plain,
    ( spl0_420
    | spl0_184
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_533
    | ~ spl0_506
    | ~ spl0_360
    | ~ spl0_609
    | ~ spl0_47
    | ~ spl0_306
    | ~ spl0_361
    | ~ spl0_364
    | spl0_383
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_6
    | ~ spl0_370
    | ~ spl0_193
    | ~ spl0_20 ),
    inference(rat,[],[s335,s4484,s2632,s3952,s2082,s6969,s8500,s7892]) ).

cnf(s8511,plain,
    ( spl0_346
    | spl0_1
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3118,s319,s171,s5565,s4650,s5945,s2653,s8510,s2633,s8509,s53,s4228,s5008,s6198,s5611,s6121,s67,s2680,s6847,s8507,s6232,s7381,s8493,s2718,s5207,s1241,s5641,s8506,s4686,s5850,s7382,s4238,s5506,s7380,s4866,s2104,s7687,s5795,s1724,s8505,s3204,s2202,s6186,s6182,s8504,s6957,s8492,s6139,s10,s5894,s8465,s2944,s7365,s6960,s3953,s7378,s8455,s5988,s7379,s6962,s8484,s4109,s3072,s681,s1208,s2514,s8481,s2429,s1679,s6064,s6398,s1,s15,s6955,s8485]) ).

cnf(s8512,plain,
    ( ~ spl0_383
    | ~ spl0_346
    | ~ spl0_304
    | spl0_1
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8388,s6468,s4137,s1638,s2045,s2151,s7304,s2520,s6957,s2140,s5004,s6769,s7006,s5168,s5981,s1798,s7695,s5975,s3953,s7378,s8455,s1208,s2514,s2429,s1679,s4109,s3072,s681]) ).

cnf(s8514,plain,
    ( spl0_371
    | ~ spl0_570
    | ~ spl0_14
    | spl0_383
    | ~ spl0_19
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s7810,s7304]) ).

cnf(s8515,plain,
    ( spl0_1
    | spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s5014,s3923,s4251,s8514,s6139,s10,s1786,s8512,s8511,s6955,s8485,s15,s2429,s1679,s6962,s4109,s3072,s8481,s681]) ).

cnf(s8516,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_14
    | spl0_383
    | spl0_417
    | ~ spl0_370
    | ~ spl0_366 ),
    inference(rat,[],[s6365,s7380,s7382,s5520,s5143,s1690,s2611,s1724]) ).

cnf(s8517,plain,
    ( spl0_346
    | ~ spl0_86
    | ~ spl0_14
    | spl0_383
    | ~ spl0_100
    | spl0_31
    | ~ spl0_37
    | ~ spl0_345
    | spl0_38
    | ~ spl0_1
    | spl0_417
    | spl0_315
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_193
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_366 ),
    inference(rat,[],[s7684,s8008,s2079,s7681,s6955,s8516,s6957,s6724,s7337,s2975,s5636,s2944,s7365,s7364,s158,s2389]) ).

cnf(s8518,plain,
    ( spl0_195
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s3673,s7337,s3204,s2045,s7506,s6955,s4860,s3175,s8517,s160,s10,s53,s1786,s5008,s7695,s67,s7383,s24,s6265,s2352,s2419,s8509,s6182,s7264,s7190,s1653,s5127,s6149,s4865,s1872,s83,s8515,s8484,s4109,s1208,s3072,s2514,s8481,s7379,s5988,s2429,s1679,s681,s3953,s7378,s8455]) ).

cnf(s8519,plain,
    ( ~ spl0_217
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2122,s8085,s6785,s3921,s5975,s7235,s1835,s4299,s2429,s1679,s3953,s7378,s8455,s8518]) ).

cnf(s8520,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6682,s3646,s7383,s6962,s1737,s1998,s280,s4109,s7227,s7381,s6186,s4326,s3072,s6257,s2514,s7225,s2405,s6468,s8519,s538,s8518,s2429,s1679,s7378,s8455,s681]) ).

cnf(s8521,plain,
    ( ~ spl0_383
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s6682,s6200,s7383,s6962,s5126,s8182,s8196,s2219,s24,s2693,s1835,s6467,s1840,s1831,s3921,s681,s3953,s7378,s8455,s83,s2295,s3819,s8520]) ).

cnf(s8522,plain,
    ( ~ spl0_315
    | spl0_196
    | ~ spl0_1
    | spl0_11
    | ~ spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s3695,s8196,s681]) ).

cnf(s8523,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_428
    | ~ spl0_368
    | spl0_195
    | ~ spl0_366 ),
    inference(rat,[],[s4238,s7380,s7382,s2675,s6228,s3580]) ).

cnf(s8524,plain,
    ( ~ spl0_303
    | spl0_315
    | ~ spl0_305
    | ~ spl0_428
    | spl0_206
    | ~ spl0_368
    | ~ spl0_313
    | ~ spl0_14
    | spl0_195
    | ~ spl0_1
    | spl0_11
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s4828,s2151,s4752,s2067,s2140,s6105,s6724,s6957,s8523]) ).

cnf(s8525,plain,
    ( spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s7525,s1241,s2079,s5018,s24,s5736,s2151,s4828,s2828,s6957,s8460,s6959,s6115,s6955,s8524,s6962,s8522,s1208,s6960,s8193,s8222,s5127,s7973,s7378,s8455,s83,s2295,s3819,s8520,s1688,s7381,s5510,s1724,s10,s1786,s8521]) ).

cnf(s8526,plain,
    ( ~ spl0_301
    | spl0_315
    | ~ spl0_305
    | spl0_9
    | ~ spl0_313
    | ~ spl0_14
    | ~ spl0_1
    | spl0_11
    | ~ spl0_20 ),
    inference(rat,[],[s4828,s6453,s5736,s2140,s6105,s6724,s5018,s2353]) ).

cnf(s8527,plain,
    ( spl0_346
    | ~ spl0_302
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_368
    | spl0_370
    | ~ spl0_14
    | spl0_195
    | spl0_38
    | spl0_11
    | ~ spl0_4
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s4828,s5661,s4752,s6959,s5037,s6115,s6955,s8523,s5107,s6960,s3819,s1688,s5018]) ).

cnf(s8528,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s5503,s8213,s8527,s6957,s8526,s3695,s5018,s1208,s2353,s3825,s2219,s5126,s8525,s7381,s5510,s1688,s7378,s8455,s83,s3819,s8520,s1724,s10,s1786,s8521]) ).

cnf(s8529,plain,
    ( ~ spl0_363
    | ~ spl0_360
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_429
    | spl0_195
    | ~ spl0_381 ),
    inference(rat,[],[s6550,s8493,s5062,s3972]) ).

cnf(s8530,plain,
    ( spl0_206
    | ~ spl0_429
    | ~ spl0_305
    | ~ spl0_370
    | spl0_195
    | ~ spl0_381
    | spl0_38
    | spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s4961,s6198,s7902,s7380,s8529,s4828,s4230,s6960,s8265,s2524,s5940,s8215,s5018,s67,s6467,s2219,s24,s6149,s5642,s1653,s2952,s1872,s3819]) ).

cnf(s8531,plain,
    ( ~ spl0_303
    | spl0_564
    | ~ spl0_192
    | ~ spl0_223
    | ~ spl0_196
    | spl0_417
    | ~ spl0_370
    | ~ spl0_4
    | ~ spl0_366 ),
    inference(rat,[],[s6552,s5091,s3768,s2611]) ).

cnf(s8532,plain,
    ( ~ spl0_371
    | spl0_9
    | ~ spl0_196
    | ~ spl0_429
    | ~ spl0_370
    | ~ spl0_1
    | spl0_11
    | ~ spl0_20 ),
    inference(rat,[],[s7649,s6453,s4828,s5736,s5018,s2353]) ).

cnf(s8533,plain,
    ( ~ spl0_100
    | ~ spl0_607
    | ~ spl0_368
    | ~ spl0_360
    | spl0_466
    | ~ spl0_192
    | ~ spl0_196 ),
    inference(rat,[],[s2395,s6406,s5056,s4972]) ).

cnf(s8534,plain,
    ( spl0_420
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_607
    | spl0_346
    | ~ spl0_301
    | ~ spl0_206
    | ~ spl0_198
    | ~ spl0_4 ),
    inference(rat,[],[s6063,s142,s2396,s5012,s6406]) ).

cnf(s8535,plain,
    ( spl0_346
    | spl0_371
    | ~ spl0_31
    | ~ spl0_526
    | ~ spl0_206
    | spl0_417
    | spl0_315
    | ~ spl0_370
    | spl0_195
    | spl0_383
    | spl0_11
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s305,s5006,s4540,s3881,s5447,s4978,s171,s3966,s4964,s8534,s186,s131,s8533,s6101,s7381,s4395,s2140,s8493,s4817,s5010,s5046,s7380,s4191,s5091,s5380,s6955,s8531,s5155,s2295,s2952,s6962,s5018,s3755,s6957,s3887,s4828,s5040,s4686,s7382,s5143,s10,s1786,s1724,s6467,s4865,s5126,s1872,s3819]) ).

cnf(s8536,plain,
    ( spl0_195
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4860,s8535,s4828,s5040,s7382,s5143,s8532,s6467,s2353,s2977,s4865,s4686,s2219,s5297,s5126,s8530,s8484,s6962,s4109,s1208,s1872,s3072,s2514,s8528,s10,s1786,s2429,s1679,s7378,s8455,s681,s83,s3819,s8520,s1724,s8521]) ).

cnf(s8537,plain,
    ( ~ spl0_315
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2353,s2219,s5018,s8522,s3695,s3819,s8520]) ).

cnf(s8538,plain,
    ( ~ spl0_364
    | spl0_615
    | spl0_346
    | ~ spl0_31
    | ~ spl0_223
    | ~ spl0_381
    | spl0_38
    | ~ spl0_1
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4752,s4828,s6959,s5661,s4287,s5138,s2096,s5018,s6960]) ).

cnf(s8539,plain,
    ( spl0_206
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6101,s6201,s6955,s5609,s4828,s2472,s5062,s3339,s7380,s8538,s5251,s8222,s5127,s4726,s7973,s7381,s6682,s4477,s5018,s7383,s2353,s3865,s1910,s6467,s1835,s4299,s6468,s1653,s7378,s8455,s681,s83,s3819,s8520,s1724,s8521,s8536,s6962,s8537]) ).

cnf(s8540,plain,
    ( spl0_323
    | spl0_608
    | spl0_346
    | ~ spl0_23
    | ~ spl0_305
    | ~ spl0_31
    | spl0_9
    | ~ spl0_206
    | spl0_315
    | spl0_383
    | spl0_38
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s6365,s7382,s7380,s6957,s5143,s5520,s6956,s6724,s10,s5037,s7337,s1690,s1924,s5661,s5736,s2151,s1724]) ).

cnf(s8541,plain,
    ( ~ spl0_303
    | ~ spl0_360
    | spl0_615
    | spl0_346
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_195
    | ~ spl0_381
    | spl0_38
    | ~ spl0_1
    | spl0_11
    | ~ spl0_199
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s8538,s7380,s4865,s3339,s3271,s2472]) ).

cnf(s8542,plain,
    ( spl0_346
    | ~ spl0_313
    | ~ spl0_305
    | spl0_9
    | ~ spl0_206
    | spl0_315
    | ~ spl0_195
    | spl0_383
    | spl0_11
    | ~ spl0_4
    | ~ spl0_199
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7406,s6453,s2214,s5037,s5901,s6955,s8541,s4828,s8540,s5107,s5251,s6960,s7378,s8455,s83,s1724,s5126,s5018,s2353,s3819]) ).

cnf(s8543,plain,
    ( ~ spl0_346
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s5503,s8213,s2353,s2219,s1208,s3825,s5126,s8539,s3819,s8520]) ).

cnf(s8544,plain,
    ( ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3865,s1798,s6467,s8357,s4865,s7381,s1872,s6257,s6963,s8542,s8543,s4477,s5018,s1208,s2353,s3825,s2219,s5126,s8539,s8537,s8536,s8521,s3819,s8520,s7378,s8455,s681]) ).

cnf(s8545,plain,
    ( ~ spl0_303
    | ~ spl0_309
    | ~ spl0_428
    | ~ spl0_368
    | ~ spl0_313
    | spl0_206
    | ~ spl0_14
    | spl0_195
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_279 ),
    inference(rat,[],[s2067,s2151,s6105,s2935,s6957,s3770,s8523,s4699]) ).

cnf(s8546,plain,
    ( ~ spl0_309
    | ~ spl0_428
    | ~ spl0_388
    | spl0_370
    | ~ spl0_345
    | ~ spl0_429
    | spl0_206
    | ~ spl0_14
    | spl0_195
    | ~ spl0_381
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_63
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s6202,s8494,s5837,s7380,s7382,s5805,s8017,s2151,s4432,s7506,s2828,s6957,s8460,s3003,s6959,s6115,s6955,s8545,s5949,s2197,s4649,s1679,s2295,s1688,s7381,s5510]) ).

cnf(s8547,plain,
    ( ~ spl0_303
    | spl0_309
    | ~ spl0_428
    | ~ spl0_368
    | ~ spl0_319
    | spl0_315
    | spl0_195
    | ~ spl0_381
    | ~ spl0_63
    | ~ spl0_366 ),
    inference(rat,[],[s5291,s7380,s7383,s5222,s6058,s2105,s7382,s2140,s5290,s8017,s6724,s6396,s4432,s6957,s3271,s8523,s1870,s4726,s1208]) ).

cnf(s8548,plain,
    ( ~ spl0_428
    | ~ spl0_345
    | ~ spl0_319
    | spl0_315
    | spl0_206
    | ~ spl0_14
    | spl0_195
    | ~ spl0_381
    | ~ spl0_58
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_63
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s5752,s6114,s4752,s6959,s6115,s4820,s6955,s8547,s5528,s1208,s8546,s6962,s1870,s4726,s7381,s5510,s1872]) ).

cnf(s8550,plain,
    ( ~ spl0_304
    | ~ spl0_346
    | spl0_370
    | ~ spl0_345
    | ~ spl0_217
    | ~ spl0_14
    | spl0_4 ),
    inference(rat,[],[s3003,s4863,s6959,s6926,s6115,s37,s8034]) ).

cnf(s8551,plain,
    ( spl0_206
    | spl0_195
    | ~ spl0_58
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_63
    | spl0_487
    | spl0_4
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s8017,s2105,s4432,s6283,s3271,s6956,s8550,s3463,s8548,s1870,s4726,s7381,s5510,s1872,s5127,s6108,s4708,s6113,s6468,s1653,s681,s3984,s4437,s8034,s1724,s10,s1786,s5975,s6949,s37]) ).

cnf(s8552,plain,
    ( spl0_195
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6228,s6956,s6957,s7382,s6115,s6105,s5143,s1690,s8456,s6205,s7383,s5708,s7381,s4351,s1212,s5510,s1688,s6182,s6186,s7870,s8551,s10,s1786,s5900,s67,s342,s22,s1724,s5975,s6949,s5018,s2524,s6270,s83,s4698,s2429,s1679,s8034,s37,s8544,s7378,s8455]) ).

cnf(s8553,plain,
    ( ~ spl0_303
    | ~ spl0_14
    | spl0_327
    | ~ spl0_348
    | spl0_206
    | spl0_383
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s5520,s7380,s1690,s5222,s2067]) ).

cnf(s8554,plain,
    ( ~ spl0_14
    | ~ spl0_305
    | spl0_327
    | ~ spl0_348
    | spl0_47
    | spl0_370
    | spl0_206
    | spl0_383
    | ~ spl0_58
    | ~ spl0_1
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s7406,s5641,s6115,s4820,s6955,s8553]) ).

cnf(s8555,plain,
    ( spl0_206
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6820,s6921,s10,s8554,s1208,s2503,s5144,s2151,s2851,s2408,s6810,s7312,s7001,s1835,s1872,s4299,s6108,s6468,s1653,s681,s3984,s342,s22,s5975,s6949,s5018,s2524,s6270,s83,s4698,s2429,s1679,s8034,s37,s8544,s7378,s8455,s8552]) ).

cnf(s8556,plain,
    ( ~ spl0_14
    | spl0_371
    | spl0_370
    | ~ spl0_381
    | ~ spl0_366 ),
    inference(rat,[],[s6228,s6956,s6957,s7382,s7381,s6115,s6105,s5143,s5510,s1688,s1690]) ).

cnf(s8557,plain,
    ( ~ spl0_200
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6822,s6921,s10,s8556,s8456,s7383,s5949,s2851,s4662,s1212,s2503,s6182,s6186,s7870,s8555,s2733,s538,s8552,s1724,s5975,s342,s6949,s5018,s2524,s6270,s22,s83,s4698,s8034,s37,s8544,s681,s2429,s1679,s7378,s8455]) ).

cnf(s8558,plain,
    ( spl0_346
    | spl0_386
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s7764,s6957,s6955,s4866,s5222,s7380,s4238,s7382,s5850,s2103,s2944,s7365,s6960,s7353,s7379]) ).

cnf(s8559,plain,
    ( spl0_370
    | ~ spl0_31
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5328,s4237,s4063,s7382,s6543,s7337,s5850,s2330,s3673,s4251,s8366,s8558,s171,s1659,s3807,s142,s2700,s3550,s7316,s6150,s1731,s3552,s5614,s3158,s6332,s7381,s4199,s2900,s6231,s6200,s4708,s7763,s4686,s10,s8470,s8394,s1982,s7378,s8455,s6964,s5672,s2952,s7379,s2737,s131,s8359,s2429,s1679,s2827,s8557]) ).

cnf(s8560,plain,
    ( ~ spl0_303
    | ~ spl0_383
    | spl0_327
    | spl0_346
    | ~ spl0_370
    | ~ spl0_319
    | spl0_195
    | spl0_1
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7383,s2670,s4183,s6724,s5632,s6957,s6959,s4124,s4287,s7382,s4209,s4238,s5506,s7337,s7380,s2081,s5222,s8454,s2952,s6960,s1208,s2052,s4122]) ).

cnf(s8561,plain,
    ( ~ spl0_383
    | spl0_327
    | spl0_346
    | ~ spl0_370
    | ~ spl0_319
    | spl0_195
    | spl0_1
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4238,s7380,s7382,s4866,s4124,s6957,s7764,s6955,s8560,s7378,s8455,s8557,s6960]) ).

cnf(s8562,plain,
    ( ~ spl0_367
    | ~ spl0_381
    | spl0_195
    | ~ spl0_443 ),
    inference(rat,[],[s5627,s4360,s5522,s2952]) ).

cnf(s8563,plain,
    ( ~ spl0_315
    | ~ spl0_58
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_370
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7454,s5020,s2052,s6062,s5573,s5785]) ).

cnf(s8564,plain,
    ( ~ spl0_309
    | spl0_315
    | ~ spl0_58
    | spl0_399
    | ~ spl0_364
    | ~ spl0_302
    | spl0_493
    | ~ spl0_428
    | spl0_320
    | ~ spl0_370
    | spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s7900,s6903]) ).

cnf(s8565,plain,
    ( spl0_346
    | ~ spl0_31
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4820,s8503,s1208,s8564,s6962,s8563,s342,s3866,s22,s67,s6847,s7382,s8494,s4238,s7380,s4866,s6957,s7764,s6955,s1870,s8437,s6232,s4726,s7381,s8562,s2900,s8514,s6139,s10,s1786,s5795,s1724,s8561,s4686,s2103,s8558,s2944,s7365,s6960,s6964,s2827,s6064,s6398,s1,s15,s2952,s7379,s6149,s5988,s7378,s8455,s7353,s8557,s8359,s2429,s1679,s5785,s8559]) ).

cnf(s8566,plain,
    ( ~ spl0_303
    | spl0_327
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_319
    | spl0_195
    | ~ spl0_19
    | ~ spl0_4
    | ~ spl0_443
    | ~ spl0_366 ),
    inference(rat,[],[s4726,s7381,s1870,s8562,s8494,s5795,s1724,s7380,s4122,s5222,s3271,s2335]) ).

cnf(s8569,plain,
    ( spl0_386
    | spl0_327
    | spl0_323
    | ~ spl0_346
    | spl0_99
    | ~ spl0_193
    | spl0_195
    | spl0_206
    | ~ spl0_443
    | ~ spl0_366 ),
    inference(rat,[],[s3497,s6403,s7316,s7351,s6969,s6957,s6150,s4663,s4626,s4866,s1731,s7380,s3552,s7983,s5614,s7382,s6332,s7381,s5850,s6231,s6200,s2952,s2737,s4930,s131]) ).

cnf(s8570,plain,
    ( ~ spl0_371
    | ~ spl0_387
    | ~ spl0_346
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s7337,s3673,s4251,s2900,s2429,s1679]) ).

cnf(s8571,plain,
    ( spl0_306
    | ~ spl0_367
    | ~ spl0_362
    | ~ spl0_305
    | ~ spl0_364
    | ~ spl0_304 ),
    inference(rat,[],[s5476,s2893,s6455,s7337]) ).

cnf(s8572,plain,
    ( spl0_23
    | ~ spl0_367
    | ~ spl0_395
    | spl0_309
    | ~ spl0_383
    | ~ spl0_345
    | ~ spl0_100
    | ~ spl0_31
    | spl0_223
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(rat,[],[s3498,s3158,s5524,s4338,s4484,s2183,s4323,s342,s5528,s22,s67,s1208]) ).

cnf(s8573,plain,
    ( ~ spl0_367
    | spl0_558
    | ~ spl0_395
    | ~ spl0_362
    | spl0_309
    | ~ spl0_383
    | ~ spl0_364
    | ~ spl0_345
    | ~ spl0_386
    | ~ spl0_304
    | ~ spl0_348
    | spl0_99
    | ~ spl0_31
    | spl0_223
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(rat,[],[s5979,s6969,s171,s4300,s3652,s5296,s6221,s8357,s4936,s6181,s7383,s5077,s4070,s8572,s8571,s131,s1208]) ).

cnf(s8575,plain,
    ( ~ spl0_420
    | ~ spl0_360
    | spl0_196
    | ~ spl0_304
    | spl0_323
    | ~ spl0_346
    | ~ spl0_100
    | ~ spl0_4
    | spl0_200 ),
    inference(rat,[],[s3152,s5058,s5368,s307,s272,s4935,s3691,s4964,s2653,s4930]) ).

cnf(s8576,plain,
    ( ~ spl0_306
    | ~ spl0_324
    | ~ spl0_83
    | ~ spl0_360
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(rat,[],[s4484,s464,s3782,s5979,s3952]) ).

cnf(s8577,plain,
    ( ~ spl0_383
    | ~ spl0_364
    | ~ spl0_386
    | ~ spl0_304
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_31
    | ~ spl0_319
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | spl0_1
    | spl0_206
    | ~ spl0_4
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s342,s22,s4820,s2593,s8576,s4935,s6969,s171,s7892,s5296,s8575,s2669,s6300,s6181,s6312,s4183,s6232,s4726,s5640,s7381,s8573,s3664,s1690,s8570,s4215,s7316,s6103,s3343,s7983,s7382,s4124,s1208,s2052,s4122,s6064,s6398,s1,s15,s2151,s4930,s8366,s131,s8359,s2429,s1679,s5127,s6957,s5016,s5690,s4686,s7378,s8455,s8557]) ).

cnf(s8578,plain,
    ( ~ spl0_31
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2122,s7525,s5573,s7337,s3673,s8570,s4251,s2900,s5521,s1724,s8577,s7380,s4866,s6957,s5016,s5690,s4686,s8569,s6955,s8566,s5144,s8366,s8565,s8559,s8359,s2429,s1679,s6964,s2827,s15,s6398,s1,s7379,s6149,s5988,s7378,s8455,s7353,s8557]) ).

cnf(s8579,plain,
    ( ~ spl0_309
    | ~ spl0_360
    | ~ spl0_304
    | ~ spl0_370
    | spl0_493
    | spl0_31
    | spl0_206
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7344,s5573,s8098,s2052]) ).

cnf(s8580,plain,
    ( spl0_306
    | spl0_346
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8009,s8010,s324,s171,s257,s113,s144,s2281,s7923,s274,s7364,s8495,s53,s2680,s4072,s5025,s7681,s5892,s6455,s7337,s2429,s1679,s6064,s6398,s1,s7379,s6232,s7382,s4238,s67,s6847,s8514,s6139,s10,s1786,s1208,s8579,s8494,s7380,s4866,s6957,s7764,s6960,s5795,s15,s1870,s4726,s6955,s8437,s7381,s8562,s1724,s8561,s2103,s7365,s6149,s5988,s7353,s6964,s8394,s4686,s8558,s7378,s8455,s3204,s2944,s2524,s8578,s2827,s8557]) ).

cnf(s8581,plain,
    ( spl0_346
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4125,s3118,s4158,s171,s319,s144,s2281,s4228,s274,s7364,s6121,s6198,s8503,s2718,s2680,s6962,s5207,s5641,s1241,s6062,s8580,s1208,s8579,s7382,s8494,s4238,s7380,s4866,s6957,s7764,s6955,s1870,s8514,s8437,s6232,s4726,s6139,s7381,s10,s8562,s1786,s5795,s1724,s8561,s8394,s4686,s3204,s2103,s8558,s2944,s7365,s6960,s2429,s1679,s6964,s6064,s6398,s1,s15,s2952,s6149,s5988,s7378,s8455,s7353,s2524,s2201,s7379,s1997,s8578,s2827,s8557]) ).

cnf(s8582,plain,
    ( spl0_370
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7390,s4173,s3552,s171,s5614,s8398,s6332,s2737,s6231,s2634,s131,s8234,s7214,s5141,s3276,s5405,s5476,s6956,s6957,s4237,s7681,s6724,s7382,s1208,s8426,s5632,s6240,s1727,s4183,s1798,s3154,s5630,s6333,s7337,s5168,s7381,s8570,s4251,s7776,s6200,s5226,s7763,s4686,s10,s8470,s8394,s1982,s2429,s1679,s7378,s8455,s6964,s5672,s2952,s5988,s7379,s2524,s1997,s8578,s2827,s8557,s8581]) ).

cnf(s8583,plain,
    ( ~ spl0_327
    | ~ spl0_370
    | ~ spl0_201
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s7304,s5144,s2104]) ).

cnf(s8584,plain,
    ( ~ spl0_309
    | spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4251,s2140,s8514,s7525,s6139,s6962,s10,s5168,s5573,s1760,s4122,s5635,s2052,s2429,s1679,s6955,s8566,s8583,s8581,s8582,s6149,s5988,s7353,s15,s6964,s8557,s7378,s8455]) ).

cnf(s8585,plain,
    ( ~ spl0_387
    | ~ spl0_346
    | ~ spl0_41
    | ~ spl0_37
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s7337,s3673,s2045,s3204,s7304,s8570]) ).

cnf(s8586,plain,
    ( spl0_195
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s3673,s4251,s2900,s8514,s6139,s10,s1760,s4122,s8585,s1208,s8584,s6955,s8566,s8583,s8582,s8581,s280,s2524,s8578,s6149,s5988,s2429,s1679,s7378,s8455,s6964,s7353,s8557,s15]) ).

cnf(s8587,plain,
    ( ~ spl0_31
    | ~ spl0_364
    | spl0_392
    | ~ spl0_393
    | spl0_493
    | spl0_386
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(rat,[],[s5945,s6543,s171,s2140,s5281,s4921,s6747,s4263,s7382,s6231,s5850,s7191,s4221,s8359]) ).

cnf(s8588,plain,
    ( ~ spl0_421
    | ~ spl0_303
    | ~ spl0_364
    | spl0_392
    | ~ spl0_393
    | ~ spl0_383
    | ~ spl0_371
    | spl0_327 ),
    inference(rat,[],[s6550,s6682,s5902,s6962,s7382,s2670,s6747,s6855]) ).

cnf(s8589,plain,
    ( ~ spl0_303
    | ~ spl0_364
    | spl0_392
    | ~ spl0_393
    | spl0_493
    | ~ spl0_383
    | ~ spl0_371
    | spl0_386
    | ~ spl0_196
    | spl0_327
    | ~ spl0_348
    | spl0_206 ),
    inference(rat,[],[s1835,s6200,s3203,s7381,s5289,s8357,s67,s6396,s1208,s5077,s3734,s2140,s8588,s6957,s3276,s5141,s5100]) ).

cnf(s8590,plain,
    ( spl0_99
    | ~ spl0_506
    | ~ spl0_306
    | spl0_418
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_37
    | ~ spl0_364
    | ~ spl0_468
    | ~ spl0_196
    | ~ spl0_348
    | spl0_206 ),
    inference(rat,[],[s4271,s6969,s4234,s8499,s6221,s8079,s4936,s2634,s131,s3276,s7006]) ).

cnf(s8591,plain,
    ( spl0_370
    | spl0_346
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s1838,s6174,s274,s7364,s8590,s1835,s6200,s7381,s6132,s6682,s6962,s6062,s5893,s2140,s5712,s7774,s3276,s6957,s7764,s6955,s8589,s1997,s2524,s8587,s7380,s3806,s2718,s8452,s4172,s7383,s2631,s4260,s2900,s7972,s7763,s4686,s10,s8394,s1982,s2429,s1679,s7378,s8455,s5672,s2827,s15,s538,s8586,s6960,s2944,s2103,s7365,s7353,s8557]) ).

cnf(s8592,plain,
    ( ~ spl0_383
    | ~ spl0_370
    | ~ spl0_195
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8357,s7381,s1208,s4172,s5999,s2052,s7383,s2631,s4122,s4260,s2429,s1679,s7378,s8455,s538]) ).

cnf(s8593,plain,
    ( ~ spl0_309
    | ~ spl0_417
    | spl0_320
    | ~ spl0_370
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s8452,s7383,s2444,s6240,s5635]) ).

cnf(s8594,plain,
    ( ~ spl0_303
    | spl0_346
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s8452,s8428,s3646,s280,s2524,s8403,s6593,s6724,s1208,s8593,s7381,s4726,s3481,s7544,s1870,s8142,s7382,s6455,s7337,s8494,s6258,s3334,s2081,s3271,s2611,s5521,s7380,s5222,s2429,s1679,s6398,s1,s2103,s7365,s5785,s1724,s5795,s15,s6149,s7378,s8455,s7353,s8557,s6307,s7235,s8592,s8591,s538,s8586]) ).

cnf(s8595,plain,
    ( ~ spl0_309
    | spl0_306
    | ~ spl0_31
    | ~ spl0_364
    | ~ spl0_319
    | spl0_320
    | ~ spl0_366 ),
    inference(rat,[],[s3059,s342,s7383,s22,s6240,s2002]) ).

cnf(s8596,plain,
    ( spl0_306
    | ~ spl0_31
    | ~ spl0_364
    | spl0_493
    | ~ spl0_371
    | ~ spl0_304
    | ~ spl0_319
    | spl0_390
    | spl0_223
    | spl0_320
    | ~ spl0_348
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s8357,s7383,s5221,s4183,s5662,s5633,s7382,s8571,s7381,s4726,s1870,s8494,s4954,s22,s342,s7681,s4820,s1208,s8595,s7337]) ).

cnf(s8597,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_370
    | spl0_327
    | spl0_346
    | spl0_1
    | spl0_206
    | ~ spl0_366 ),
    inference(rat,[],[s8144,s4708]) ).

cnf(s8598,plain,
    ( spl0_192
    | spl0_340
    | ~ spl0_367
    | ~ spl0_345 ),
    inference(rat,[],[s3498,s3158]) ).

cnf(s8599,plain,
    ( ~ spl0_594
    | ~ spl0_362
    | spl0_392
    | ~ spl0_306
    | spl0_493 ),
    inference(rat,[],[s5945,s171,s6543,s4921,s5281]) ).

cnf(s8600,plain,
    ( ~ spl0_377
    | ~ spl0_306
    | ~ spl0_100
    | ~ spl0_364
    | spl0_493
    | ~ spl0_371
    | ~ spl0_423
    | ~ spl0_219
    | ~ spl0_319
    | ~ spl0_195
    | ~ spl0_6
    | ~ spl0_24 ),
    inference(rat,[],[s4821,s2732,s307,s4484,s142,s2479,s6262,s4263,s8599,s7382,s5633,s4183,s2444,s5641]) ).

cnf(s8601,plain,
    ( ~ spl0_418
    | ~ spl0_361
    | ~ spl0_360
    | ~ spl0_609
    | spl0_309
    | ~ spl0_306
    | spl0_321
    | spl0_99
    | ~ spl0_364
    | spl0_493
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_304
    | spl0_323
    | ~ spl0_348
    | ~ spl0_6
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s324,s8009,s113,s171,s4935,s5000,s5945,s2653,s8502,s2975,s131]) ).

cnf(s8602,plain,
    ( ~ spl0_361
    | ~ spl0_360
    | ~ spl0_609
    | ~ spl0_429
    | spl0_309
    | ~ spl0_306
    | spl0_99
    | ~ spl0_364
    | ~ spl0_304
    | ~ spl0_193
    | spl0_383
    | spl0_323
    | ~ spl0_348
    | spl0_346
    | ~ spl0_6
    | spl0_206
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2281,s307,s319,s5252,s4158,s171,s5854,s5945,s2653,s8500,s6135,s6121,s5611,s5893,s8601,s7378,s8455,s5894,s6957,s7764,s6960,s2900,s2737,s131,s5641,s6959,s7926,s6964,s8557,s1208]) ).

cnf(s8603,plain,
    ( ~ spl0_31
    | ~ spl0_364
    | ~ spl0_304
    | ~ spl0_319
    | spl0_390
    | spl0_223
    | spl0_383
    | spl0_320
    | spl0_323
    | ~ spl0_348
    | spl0_346
    | ~ spl0_195
    | ~ spl0_6
    | spl0_1
    | spl0_206
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s4850,s142,s7893,s4821,s307,s5395,s2479,s2384,s4263,s8599,s7382,s8602,s8494,s1870,s6232,s4726,s7381,s6682,s7383,s8600,s2444,s6962,s5641,s6903,s6062,s8596,s131,s8359,s2429,s1679,s7378,s8455,s1835,s6307,s538,s5697,s5894,s6957,s7764,s6960,s2900,s6959,s7926,s6964,s8557]) ).

cnf(s8604,plain,
    ( spl0_306
    | spl0_377
    | spl0_392
    | spl0_31
    | spl0_196
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_304
    | spl0_390
    | spl0_223
    | spl0_323
    | ~ spl0_348
    | ~ spl0_385
    | ~ spl0_201
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_35
    | ~ spl0_20 ),
    inference(rat,[],[s5505,s5328,s5624,s171,s144,s274,s7364,s4874,s4875,s8495,s67,s6232,s6861,s6847,s7381,s8494,s6682,s1870,s6962,s3755,s5850,s2750,s7382,s3769,s5712,s53,s6747,s6855,s2095,s6455,s5892,s7337,s1835,s7383]) ).

cnf(s8605,plain,
    ( ~ spl0_361
    | spl0_346
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3118,s319,s171,s2281,s3168,s144,s274,s7364,s8602,s5633,s1835,s6903,s2900,s5641,s6232,s6447,s2680,s8494,s1870,s4726,s7381,s6682,s6962,s6062,s1241,s8604,s3646,s2524,s6307,s8597,s6959,s7926,s6964,s2733,s538,s7383,s8428,s280,s8603,s7380,s4866,s6957,s7764,s6960,s2103,s6955,s8594,s6149,s7378,s8455,s7353,s5795,s7235,s8592,s5785,s8591,s2944,s7365,s6064,s6398,s1,s15,s2827,s8557,s8586,s2429,s1679]) ).

cnf(s8606,plain,
    ( spl0_99
    | spl0_122
    | ~ spl0_395
    | ~ spl0_506
    | ~ spl0_360
    | ~ spl0_609
    | ~ spl0_306
    | ~ spl0_37
    | ~ spl0_364
    | spl0_493
    | ~ spl0_423
    | ~ spl0_304
    | ~ spl0_219
    | spl0_206
    | ~ spl0_20 ),
    inference(rat,[],[s7893,s8499,s307,s5395,s2479,s2634,s131]) ).

cnf(s8607,plain,
    ( spl0_346
    | spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5435,s319,s4272,s175,s4850,s7364,s8606,s2384,s4263,s3502,s8599,s7382,s8605,s6121,s2680,s8494,s1870,s6232,s4726,s7381,s6682,s1208,s6962,s1241,s6903,s6062,s8604,s7383,s2718,s8428,s3646,s280,s2524,s8603,s8597,s7380,s4866,s2900,s6957,s6959,s5697,s7764,s7926,s5894,s6955,s8594,s6307,s6149,s5795,s7235,s8592,s5785,s8591,s2103,s2944,s7365,s6960,s2429,s1679,s6964,s7353,s2827,s8557,s6064,s6398,s1,s15,s2733,s538,s8586,s7378,s8455]) ).

cnf(s8608,plain,
    ( spl0_370
    | ~ spl0_346
    | ~ spl0_195
    | spl0_1
    | spl0_206
    | ~ spl0_622
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8204,s4172,s7383,s2631,s4260,s7972,s7763,s4686,s10,s8394,s1982,s2429,s1679,s7378,s8455,s8557,s15,s538]) ).

cnf(s8609,plain,
    ( ~ spl0_371
    | ~ spl0_219
    | ~ spl0_319
    | ~ spl0_193
    | spl0_390
    | spl0_327
    | ~ spl0_370
    | ~ spl0_346
    | ~ spl0_195
    | spl0_1
    | ~ spl0_201
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8403,s4137,s7381,s1998,s6957,s4726,s3481,s1798,s6724,s1870,s8142,s6855,s6455,s1208,s7382,s8494,s6258,s7380,s8593,s3334,s3271,s5222,s2696,s6956,s7525,s6962,s5573,s7337,s3673,s8570,s4251,s2900,s2429,s1679,s7378,s8455,s8557,s5785,s8592]) ).

cnf(s8610,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5843,s7380,s5225,s5521,s7304,s8609,s6307,s6149,s1835,s5795,s7235,s1724,s8592,s8583,s8608,s8607,s538,s8586,s6398,s1,s15,s7378,s8455,s5672,s7353,s2827,s8557]) ).

cnf(s8611,plain,
    ( ~ spl0_31
    | spl0_306
    | ~ spl0_361
    | ~ spl0_28
    | ~ spl0_609
    | ~ spl0_364
    | ~ spl0_368
    | ~ spl0_304
    | ~ spl0_428
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s8258,s1798,s6961,s3059,s5020,s342]) ).

cnf(s8612,plain,
    ( spl0_306
    | ~ spl0_361
    | ~ spl0_28
    | ~ spl0_609
    | ~ spl0_364
    | ~ spl0_368
    | ~ spl0_371
    | ~ spl0_304
    | ~ spl0_348
    | ~ spl0_428
    | spl0_38
    | ~ spl0_1
    | spl0_206
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s7681,s1208,s2079,s2012,s8611,s7337]) ).

cnf(s8613,plain,
    ( spl0_195
    | spl0_370
    | spl0_346
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5837,s5528,s6202,s5752,s8494,s6114,s4752,s1241,s8612,s7382,s1870,s4238,s22,s67,s6232,s4726,s7380,s24,s7381,s6957,s2087,s5625,s8562,s7764,s5127,s8457,s1724,s6955,s4686,s1831,s6149,s8475,s8558,s7379,s5988,s2952,s7378,s8455,s6964,s7353,s2827,s83,s8610,s6960,s7365,s2944,s10,s1982,s8557]) ).

cnf(s8614,plain,
    ( spl0_306
    | ~ spl0_393
    | ~ spl0_364
    | ~ spl0_28
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_1 ),
    inference(rat,[],[s2079,s342,s6855,s3059,s7337]) ).

cnf(s8615,plain,
    ( spl0_377
    | ~ spl0_364
    | ~ spl0_388
    | ~ spl0_371
    | spl0_323
    | ~ spl0_348
    | spl0_38
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s8494,s6202,s4752,s1241,s8614,s7383,s67,s22,s24,s5625]) ).

cnf(s8616,plain,
    ( ~ spl0_371
    | spl0_370
    | spl0_346
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3510,s5373,s307,s142,s7351,s2479,s6262,s4810,s4263,s6969,s5281,s7892,s6543,s2737,s6232,s4936,s131,s7381,s8234,s6307,s3832,s7382,s7330,s7235,s1724,s5633,s8428,s4260,s4183,s8615,s7380,s4866,s6957,s1870,s7764,s1910,s6955,s5625,s2067,s3003,s2429,s1679,s7378,s8455,s2827,s83,s8610,s6960,s2944,s2103,s7365,s7353,s10,s1982,s8557,s538,s8613]) ).

cnf(s8617,plain,
    ( spl0_370
    | spl0_346
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6865,s4432,s7382,s1835,s1870,s6228,s6200,s5102,s7381,s6682,s6962,s2670,s7931,s7380,s4172,s7383,s3271,s4866,s6267,s2631,s1831,s4260,s6956,s6957,s6976,s7926,s6105,s8556,s1690,s8616,s538,s8613,s10,s1982,s1688,s2429,s1679,s7378,s8455,s6964,s2827,s8610,s2103,s7365,s7353,s8557]) ).

cnf(s8618,plain,
    ( ~ spl0_370
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8592,s7235,s5988,s6149,s1872,s7378,s8455,s7353,s8557,s8610]) ).

cnf(s8619,plain,
    ( spl0_31
    | spl0_386
    | ~ spl0_193
    | spl0_223
    | spl0_38
    | spl0_206 ),
    inference(rat,[],[s8357,s1208,s7383,s2012,s1727,s5226,s7381,s6200]) ).

cnf(s8620,plain,
    ( ~ spl0_99
    | ~ spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(rat,[],[s144,s6244,s274,s7364]) ).

cnf(s8621,plain,
    ( ~ spl0_383
    | spl0_195
    | spl0_370
    | spl0_38
    | ~ spl0_1
    | spl0_206
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_443
    | ~ spl0_366
    | ~ spl0_35 ),
    inference(rat,[],[s3682,s3362,s3158,s307,s3550,s3510,s2700,s2596,s142,s7316,s7351,s158,s6150,s4663,s4650,s1731,s3552,s5614,s6332,s2737,s6231,s131,s8620,s8619,s7381,s6200,s1831,s2952,s5988,s7379]) ).

cnf(s8622,plain,
    ( ~ spl0_31
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5837,s8615,s6957,s6961,s7380,s5016,s7681,s2087,s6955,s2151,s8459,s7975,s3673,s2900,s7337,s4251,s8457,s10,s1982,s5690,s4686,s6200,s7379,s7382,s8017,s4432,s1870,s4726,s7381,s8562,s6149,s5988,s7353,s2651,s8480,s8617,s1724,s8621,s8618,s83,s8610,s2827,s6964,s8557,s7378,s8455,s2429,s1679]) ).

cnf(s8623,plain,
    ( spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5222,s6956,s7380,s7615,s6855,s7383,s1727,s280,s2524,s8622,s2105,s7382,s8017,s4432,s5127,s1870,s4686,s4726,s6200,s7337,s3673,s7381,s4251,s2900,s8562,s8457,s1724,s8621,s2651,s6149,s8480,s7379,s5988,s2429,s1679,s7378,s8455,s6964,s7353,s2827,s83,s8610,s8617,s10,s1982,s8618,s8557]) ).

cnf(s8624,plain,
    ( ~ spl0_383
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s6682,s6200,s6962,s7312,s2535,s5654,s2218,s2140,s6747,s7382,s2145,s6957,s6105,s7304,s8204,s4172,s7383,s2631,s1831,s4260,s2429,s1679,s2827,s83,s8610,s1688,s8617,s10,s1982,s8618,s8557,s2733,s538,s8623,s7378,s8455]) ).

cnf(s8625,plain,
    ( ~ spl0_348
    | ~ spl0_421
    | spl0_418
    | ~ spl0_219
    | ~ spl0_371
    | ~ spl0_195
    | ~ spl0_346
    | ~ spl0_1
    | spl0_206
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s7344,s7544,s7525,s7382,s6955,s2143,s2067]) ).

cnf(s8626,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2105,s5222,s7382,s7380,s6956,s6747,s6855,s7506,s7383,s2651,s3646,s1727,s2353,s2524,s7975,s2151,s8625,s5127,s4686,s6200,s7337,s3673,s7381,s4251,s2900,s6307,s1835,s3832,s8556,s7235,s1724,s8624,s538,s8623,s10,s8617,s1982,s8618,s83,s8610,s2827,s2429,s1679,s7378,s8455,s8557]) ).

cnf(s8627,plain,
    ( ~ spl0_363
    | spl0_223
    | ~ spl0_371
    | ~ spl0_383
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5176,s2081,s2151,s3806,s2087]) ).

cnf(s8628,plain,
    ( spl0_223
    | ~ spl0_371
    | ~ spl0_383
    | spl0_346
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_246
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4752,s7723,s5176,s7700,s7380,s8627,s2693,s1835,s6960,s1831]) ).

cnf(s8629,plain,
    ( ~ spl0_223
    | ~ spl0_383
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3921,s4183,s5949,s6205,s2524,s6270,s83,s8034,s8626]) ).

cnf(s8630,plain,
    ( ~ spl0_363
    | spl0_206
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_193
    | ~ spl0_313
    | spl0_386
    | ~ spl0_383
    | spl0_346
    | spl0_195
    | spl0_122
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_443
    | ~ spl0_366 ),
    inference(rat,[],[s3778,s142,s7351,s3807,s4663,s1731,s3552,s5614,s6332,s2737,s6330,s6231,s131,s4305,s7797,s5176,s7382,s5144,s6365,s4866,s2952,s7381,s8523,s6960,s1653]) ).

cnf(s8631,plain,
    ( spl0_206
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_9
    | spl0_223
    | ~ spl0_313
    | spl0_386
    | ~ spl0_383
    | spl0_346
    | spl0_195
    | spl0_122
    | ~ spl0_31
    | ~ spl0_246
    | ~ spl0_11
    | ~ spl0_443
    | ~ spl0_366 ),
    inference(rat,[],[s7723,s7700,s7380,s8630,s3271,s6149,s1653,s6960,s1835]) ).

cnf(s8632,plain,
    ( ~ spl0_383
    | spl0_346
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6241,s142,s4626,s3807,s1731,s3552,s6298,s5614,s4305,s6332,s7334,s4930,s7380,s7382,s6231,s131,s7700,s5850,s6794,s7868,s8631,s7381,s8523,s6956,s6957,s7926,s6105,s1690,s8628,s2693,s1835,s8629,s1688,s1831,s4122,s7378,s8455,s6964,s3984,s4698,s2429,s1679,s6949,s6936,s2952,s6960,s10,s6916,s8557,s37,s2524,s6270,s83,s8034,s8626]) ).

cnf(s8633,plain,
    ( ~ spl0_363
    | spl0_206
    | spl0_223
    | ~ spl0_371
    | ~ spl0_368
    | ~ spl0_381
    | spl0_195
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s2105,s5222,s7382,s6956,s8017,s7506,s4432,s2151,s4685,s2087,s5127,s4686,s6200,s1835,s1870,s4726,s6149,s1653]) ).

cnf(s8634,plain,
    ( spl0_323
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_388
    | ~ spl0_345
    | spl0_206
    | ~ spl0_609
    | ~ spl0_371
    | ~ spl0_368
    | ~ spl0_428
    | ~ spl0_31
    | ~ spl0_63
    | spl0_38
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_11
    | spl0_200
    | ~ spl0_24 ),
    inference(rat,[],[s5752,s6114,s5528,s6955,s8258,s6080,s2067,s8615,s2151]) ).

cnf(s8635,plain,
    ( spl0_206
    | spl0_223
    | ~ spl0_371
    | spl0_346
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6258,s5305,s4752,s4475,s5176,s8634,s7382,s4238,s7380,s8633,s1870,s5127,s4726,s4686,s6149,s6200,s1653,s7378,s8455,s5950,s67,s4698,s37,s2429,s1679,s2524,s6270,s83,s8034,s8626,s2952,s6960,s1835,s6232,s7381,s8562,s1724,s8632,s6964,s8557]) ).

cnf(s8636,plain,
    ( ~ spl0_324
    | ~ spl0_361
    | ~ spl0_371
    | ~ spl0_414
    | ~ spl0_100
    | spl0_122
    | spl0_223 ),
    inference(rat,[],[s305,s3499,s7800]) ).

cnf(s8637,plain,
    ( spl0_223
    | ~ spl0_371
    | spl0_346
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8636,s6969,s7382,s7892,s2096,s4238,s6955,s7380,s8382,s4936,s2087,s131,s5225,s2151,s6794,s7868,s8635,s6232,s1835,s4698,s2429,s1679,s6936,s2524,s6270,s83,s37,s6960,s7381,s8562,s1724,s8632,s6964,s8557,s3003,s8034,s8626]) ).

cnf(s8638,plain,
    ( ~ spl0_371
    | spl0_346
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3510,s307,s142,s3499,s4850,s6969,s5373,s4247,s7351,s4235,s8079,s4766,s6221,s5127,s7380,s6957,s7803,s3904,s7764,s4820,s6955,s1208,s2067,s1653,s6240,s7732,s4936,s6080,s131,s4750,s2151,s7750,s5949,s6205,s6810,s8637,s2900,s3003,s7378,s8455,s5950,s67,s6936,s342,s2524,s6270,s83,s22,s4698,s37,s2429,s1679,s8034,s8626,s2952,s6960,s7381,s8562,s1724,s8632,s6964,s8557]) ).

cnf(s8639,plain,
    ( spl0_346
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5222,s2105,s7380,s6956,s7382,s5520,s7926,s5143,s1690,s8638,s7381,s8562,s1724,s8632,s10,s6916,s7378,s8455,s6964,s8557,s37,s2524,s6270,s83,s8034,s8626]) ).

cnf(s8640,plain,
    ( ~ spl0_371
    | ~ spl0_346
    | ~ spl0_31
    | spl0_4
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(rat,[],[s2151,s6306,s7975,s3003,s8034]) ).

cnf(s8641,plain,
    ( ~ spl0_383
    | ~ spl0_363
    | spl0_223
    | spl0_371
    | ~ spl0_346
    | ~ spl0_58
    | spl0_387
    | spl0_37
    | ~ spl0_63
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_11
    | spl0_200
    | ~ spl0_366
    | ~ spl0_20 ),
    inference(rat,[],[s5168,s2935,s5981,s5144,s4323,s7262,s1208,s2106,s6185,s3502,s7381,s7382,s2675,s6365,s3580,s5222,s6957,s6956,s6105,s6115,s6219,s10,s1870,s2651,s1982,s1688,s4023,s2693,s4122,s2524,s1690,s1835]) ).

cnf(s8642,plain,
    ( ~ spl0_370
    | spl0_223
    | spl0_4
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s1653,s6149,s7870,s1872,s7378,s8455,s4698,s37,s2429,s1679,s2524,s6270,s83,s8034]) ).

cnf(s8643,plain,
    ( spl0_223
    | spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5244,s142,s307,s2618,s175,s5528,s7329,s4785,s8598,s8569,s7381,s5144,s6200,s7264,s6182,s2535,s2218,s6185,s5127,s3502,s4249,s3276,s7382,s6306,s5981,s5850,s2151,s6202,s2747,s8494,s6219,s2669,s7380,s1870,s2651,s8641,s4023,s2693,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s1982,s1688,s8642,s1835,s7378,s8455,s6964,s8557,s5950,s67,s6949,s6936,s342,s22,s4698,s37,s2429,s1679,s1690,s8640,s8639,s2524,s6270,s83,s8034,s8626]) ).

cnf(s8644,plain,
    ( spl0_195
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5020,s1208,s4436,s6955,s6240,s7382,s3175,s4750,s5143,s8556,s7381,s10,s8562,s1786,s1724,s2197,s6173,s8629,s5949,s6205,s6810,s8643,s8640,s8639,s7378,s8455,s6964,s8557,s342,s2524,s6270,s83,s22,s4698,s37,s2429,s1679,s8034,s8626]) ).

cnf(s8645,plain,
    ( spl0_323
    | ~ spl0_368
    | spl0_196
    | ~ spl0_313
    | ~ spl0_381
    | spl0_392
    | spl0_223
    | spl0_346
    | spl0_493
    | ~ spl0_371
    | ~ spl0_195
    | ~ spl0_31
    | ~ spl0_63
    | spl0_38
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s4663,s4821,s4262,s142,s6262,s4660,s307,s4263,s6899,s5901,s8599,s5641,s6955,s6185,s5141,s3502,s6182,s7382,s2535,s5633,s2851,s4183,s8615,s2096,s6219,s7380,s6080,s2087,s5736,s2151,s1679,s3003,s1870,s5524,s6343]) ).

cnf(s8646,plain,
    ( ~ spl0_363
    | ~ spl0_303
    | spl0_548
    | ~ spl0_368
    | ~ spl0_381
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s5626,s4280,s6957,s7382,s3580,s2105,s2675,s5222]) ).

cnf(s8647,plain,
    ( spl0_223
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2747,s8494,s7380,s8646,s6956,s7506,s5974,s2669,s4752,s5176,s8645,s7381,s3832,s5127,s10,s4686,s1870,s1982,s1688,s1724,s6259,s5221,s5524,s8642,s8628,s1835,s7378,s8455,s8557,s3984,s5950,s67,s4698,s2429,s1679,s6343,s6197,s8644,s37,s2900,s8640,s2524,s6270,s83,s8034,s8626]) ).

cnf(s8648,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6865,s7382,s4432,s1870,s5633,s6080,s3865,s4183,s2151,s6205,s6810,s8647,s5950,s2524,s6270,s83,s8034,s8626,s8644]) ).

cnf(s8649,plain,
    ( spl0_223
    | ~ spl0_14
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7391,s1831,s8556,s6259,s8642,s1835,s7378,s8455,s8034,s8626,s8644,s8648]) ).

cnf(s8650,plain,
    ( spl0_346
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5144,s8553,s7264,s6182,s4662,s2151,s8629,s5949,s6810,s8649,s6956,s10,s7926,s2154,s6964,s8557,s2524,s6270,s83,s8034,s8626,s2733,s538,s8644,s7378,s8455,s1690,s8648]) ).

cnf(s8651,plain,
    ( spl0_223
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s1982,s8649,s8642,s8557,s8626]) ).

cnf(s8652,plain,
    ( ~ spl0_11
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7407,s5635,s5023,s5024,s5626,s6400,s6957,s3673,s7337,s2145,s5051,s4436,s7382,s6865,s4432,s6962,s1870,s4860,s4662,s2444,s1726,s3865,s6173,s5949,s6205,s6810,s8651,s8650,s2733,s538,s8644,s342,s2524,s6270,s22,s83,s4698,s8034,s37,s8626,s2429,s1679,s7378,s8455,s8557]) ).

cnf(s8653,plain,
    ( spl0_1
    | spl0_11 ),
    inference(rat,[],[s3819,s8034]) ).

cnf(s8654,plain,
    ( ~ spl0_23
    | ~ spl0_371
    | spl0_223
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7380,s7337,s4954,s5050,s6453,s4828,s7383,s5736,s6235,s24,s83,s1835,s3003,s8653,s8652,s2900]) ).

cnf(s8655,plain,
    ( spl0_323
    | spl0_31
    | ~ spl0_28
    | ~ spl0_371
    | spl0_223
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s6552,s8614,s2087,s1241,s2151,s7383,s1727]) ).

cnf(s8656,plain,
    ( ~ spl0_371
    | spl0_223
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7337,s7380,s4961,s4752,s5050,s4828,s8655,s7383,s1727,s2524,s5018,s22,s8654,s3003,s83,s8653,s8652,s1835]) ).

cnf(s8657,plain,
    ( ~ spl0_370
    | spl0_9
    | spl0_223
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s5126,s4865,s5642,s1872,s8653]) ).

cnf(s8658,plain,
    ( spl0_9
    | spl0_371
    | spl0_223
    | spl0_11
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s10,s8556,s1982,s8657,s1724,s2693,s8653]) ).

cnf(s8659,plain,
    ( ~ spl0_386
    | spl0_371
    | spl0_223
    | spl0_11
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s10,s8556,s1684,s1872,s6149,s1653,s5126,s1724,s4686,s1831,s8653]) ).

cnf(s8660,plain,
    ( spl0_223
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s7926,s3271,s2651,s4865,s4828,s5126,s8252,s8619,s8659,s7383,s1727,s5018,s24,s8658,s1690,s8656,s1835,s7378,s8455,s6964,s8557,s83,s8653,s8652]) ).

cnf(s8661,plain,
    ( ~ spl0_383
    | ~ spl0_23
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7380,s7383,s4868,s3539,s2880,s6467,s8660,s4954,s2900,s7337,s6453,s4828,s5736,s24,s8653,s8652]) ).

cnf(s8662,plain,
    ( spl0_346
    | ~ spl0_31
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5222,s2104,s6956,s5011,s7764,s6957,s3580,s7772,s7380,s8538,s5251,s3713,s6960,s7378,s8455,s6964,s8557,s83,s8660,s3003,s37,s4698,s2429,s1679,s4828,s5736,s24,s8653,s1724,s8661,s5018,s8652]) ).

cnf(s8663,plain,
    ( ~ spl0_94
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_507
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s5696,s4849,s171,s3810,s285]) ).

cnf(s8664,plain,
    ( ~ spl0_363
    | spl0_370
    | ~ spl0_31
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6171,s307,s5696,s5006,s171,s3881,s4856,s4922,s142,s8663,s186,s6449,s131,s4817,s2122,s8533,s6955,s4191,s5023,s3768,s5011,s5626,s5126,s6957,s1653,s3580,s5062,s7772,s7378,s8455,s6467,s8660,s3003,s37,s4698,s2429,s1679,s2832,s6445,s4954,s2900,s6453,s4860,s8662,s4828,s5736,s24,s8653,s1688,s7381,s3832,s10,s1982,s8557,s1724,s8661,s5018,s8652]) ).

cnf(s8665,plain,
    ( ~ spl0_100
    | ~ spl0_596
    | ~ spl0_196
    | ~ spl0_360
    | spl0_466
    | ~ spl0_192
    | ~ spl0_366 ),
    inference(rat,[],[s7336,s4427,s4969,s4972]) ).

cnf(s8666,plain,
    ( spl0_370
    | ~ spl0_31
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5410,s5696,s5250,s171,s3867,s4263,s4920,s142,s8663,s186,s131,s8665,s8017,s7382,s2105,s6957,s5100,s2977,s5011,s6956,s6240,s4191,s7525,s5126,s4750,s6962,s1653,s2718,s3619,s6538,s3865,s4228,s1798,s3798,s6198,s6855,s7380,s8664,s7381,s3832,s10,s1982,s7378,s8455,s8557,s6467,s8660,s3003,s37,s4698,s2429,s1679,s7337,s7006,s2832,s6445,s4954,s2900,s6453,s4828,s5736,s24,s8653,s1724,s8661,s5018,s8652]) ).

cnf(s8667,plain,
    ( ~ spl0_31
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s2122,s8532,s5573,s8215,s8666,s8570,s8662,s24,s5018,s83,s8653,s8652]) ).

cnf(s8668,plain,
    ( spl0_206
    | spl0_323
    | spl0_31
    | ~ spl0_371
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s7681,s1208,s6955,s2012,s2067,s2079,s2151,s7337,s1241]) ).

cnf(s8669,plain,
    ( ~ spl0_383
    | spl0_536
    | ~ spl0_196
    | ~ spl0_421
    | spl0_418
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5893,s6955,s6135,s3768,s2275,s7380,s6855,s7383,s3539,s7378,s8455,s6964,s8557,s8653,s6467,s8660,s8652]) ).

cnf(s8670,plain,
    ( ~ spl0_304
    | ~ spl0_315
    | ~ spl0_145
    | ~ spl0_346
    | ~ spl0_90
    | ~ spl0_301
    | spl0_320
    | spl0_319
    | ~ spl0_368
    | ~ spl0_509
    | ~ spl0_196
    | ~ spl0_348
    | spl0_23
    | spl0_11
    | spl0_200
    | ~ spl0_20 ),
    inference(rat,[],[s6311,s7334,s5325,s171,s5323,s3109,s1226,s5689,s8184,s5016,s8653]) ).

cnf(s8671,plain,
    ( ~ spl0_364
    | ~ spl0_145
    | ~ spl0_90
    | ~ spl0_513
    | ~ spl0_368
    | ~ spl0_362
    | ~ spl0_196
    | spl0_306
    | ~ spl0_348
    | ~ spl0_28
    | spl0_195
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s4975,s171,s7316,s5325,s3867,s5323,s3273,s1798,s4239,s8614]) ).

cnf(s8672,plain,
    ( spl0_323
    | ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s8670,s5004,s6955,s3768,s7380,s8671,s307,s162,s5220,s186,s5707,s4280,s8245,s6099,s5626,s6957,s4750,s5120,s2718,s4726,s6444,s7381,s8017,s8562,s1724,s8669,s5405,s4237,s7382,s5040,s4686,s5247,s5126,s8668,s7006,s7337,s2079,s1241,s2151,s7378,s8455,s6964,s8557,s3003,s6270,s2524,s83,s67,s22,s24,s2952,s1910,s2353,s8667,s8653,s6467,s8660,s8652]) ).

cnf(s8673,plain,
    ( ~ spl0_371
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5222,s6956,s2104,s7764,s5011,s6957,s3580,s7772,s7380,s6198,s4230,s3713,s6960,s4961,s2651,s4828,s8672,s5940,s2952,s67,s1910,s24,s6270,s2353,s2524,s8667,s3003,s7378,s8455,s6964,s8557,s83,s8653,s6467,s8660,s8652]) ).

cnf(s8674,plain,
    ( ~ spl0_303
    | ~ spl0_363
    | spl0_323
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s1653,s5144,s5126,s5222,s3768]) ).

cnf(s8675,plain,
    ( ~ spl0_304
    | spl0_323
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5120,s2002,s8193,s6961,s6957,s8213,s5027,s7926,s6964,s8557,s83,s8653,s1690,s8673,s5018,s8652]) ).

cnf(s8676,plain,
    ( spl0_346
    | ~ spl0_615
    | ~ spl0_564
    | spl0_323
    | ~ spl0_23
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s6747,s5040,s7383,s1831,s3865,s4477,s6976,s2952,s5251,s5155,s6467,s8660,s37,s4698,s2429,s1679,s7337,s5661,s83,s8653,s8652]) ).

cnf(s8677,plain,
    ( spl0_323
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s5520,s1786,s3539,s3865,s1798,s6855,s5461,s8676,s5138,s5438,s7380,s8674,s6956,s8675,s7337,s5661,s7378,s8455,s83,s6467,s8660,s1690,s8673,s37,s4698,s5018,s2429,s1679,s8653,s8652]) ).

cnf(s8678,plain,
    ( ~ spl0_363
    | ~ spl0_360
    | spl0_9
    | spl0_371
    | ~ spl0_192
    | spl0_11
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s5642,s5126,s6963,s3768,s4851,s6956,s3665,s5027,s6957,s3580,s4868,s6964,s8653,s1690]) ).

cnf(s8679,plain,
    ( ~ spl0_100
    | ~ spl0_196
    | ~ spl0_362
    | spl0_392
    | ~ spl0_364
    | ~ spl0_23
    | ~ spl0_192
    | spl0_38
    | ~ spl0_366 ),
    inference(rat,[],[s4921,s4263,s171,s4969,s2278]) ).

cnf(s8680,plain,
    ( spl0_83
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_196
    | ~ spl0_526
    | ~ spl0_362
    | ~ spl0_302
    | spl0_392
    | ~ spl0_195
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | spl0_371
    | ~ spl0_1 ),
    inference(rat,[],[s5096,s307,s5074,s3790,s5410,s4263,s5250,s4921,s171]) ).

cnf(s8681,plain,
    ( spl0_346
    | ~ spl0_303
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5115,s4964,s142,s3966,s285,s8680,s186,s131,s8679,s5126,s2977,s1653,s2645,s5102,s2832,s7381,s3950,s6682,s7382,s6962,s3887,s3605,s6957,s4954,s3706,s5011,s7383,s6470,s7931,s8592,s3865,s4477,s5520,s2952,s10,s5155,s3713,s2154,s6964,s83,s1690,s5438,s7380,s8678,s4828,s8677,s24,s6467,s8557,s7378,s8455,s8660,s37,s4698,s5018,s2429,s1679,s8653,s8652,s8673]) ).

cnf(s8682,plain,
    ( ~ spl0_377
    | ~ spl0_364
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s10,s5520,s1786,s3539,s3865,s8653,s6467,s8660,s8652,s1690,s8673]) ).

cnf(s8683,plain,
    ( ~ spl0_346
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s2081,s6855,s4860,s5461,s8653,s7383,s8682,s7380,s8678,s4828,s8677,s24,s5018,s8673,s6467,s8660,s8652,s8557,s7378,s8455]) ).

cnf(s8684,plain,
    ( ~ spl0_31
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s8681,s7926,s8683,s6964,s8557,s1690,s8673]) ).

cnf(s8685,plain,
    ( ~ spl0_363
    | spl0_323
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s5573,s8556,s2122,s10,s7525,s1786,s1724,s6769,s3673,s2275,s7926,s6955,s8674,s7378,s8455,s6964,s8557,s1690,s8673,s1910,s2353,s6467,s8660,s3204,s2524,s7337,s1241,s8684,s83,s8653,s8652]) ).

cnf(s8686,plain,
    ( spl0_323
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s3673,s7383,s5155,s8682,s5438,s7380,s8685,s7337,s3204,s1241,s8673,s6270,s2524,s83,s2952,s1910,s2353,s8684,s8653,s6467,s8660,s8652]) ).

cnf(s8687,plain,
    ( ~ spl0_20
    | ~ spl0_24 ),
    inference(rat,[],[s3970,s7381,s5017,s5062,s6957,s1653,s3580,s5126,s4868,s3768,s7380,s6956,s5091,s7926,s5155,s3713,s2651,s4828,s8686,s2952,s1910,s6270,s2353,s2524,s8684,s1690,s8673,s6467,s8660,s83,s8653,s8652,s6964,s8557,s7378,s8455]) ).

cnf(s8688,plain,
    ( spl0_23
    | ~ spl0_370
    | spl0_38
    | ~ spl0_196
    | ~ spl0_367
    | spl0_606
    | spl0_346
    | spl0_484
    | spl0_223
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3026,s2024,s3781,s5742,s5518,s140,s171,s8509,s269,s4314,s6468,s2405,s1212,s681,s5221,s8420,s2536,s53,s5476,s8357,s6691,s2184,s6033,s1208,s10,s8216,s6139,s4485,s7148,s1679,s2233,s6064,s15,s1835,s2927,s458,s41,s4134,s6398,s1,s7383,s1727,s7314,s8034,s8687]) ).

cnf(s8689,plain,
    ( ~ spl0_201
    | ~ spl0_23
    | ~ spl0_393
    | spl0_38
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_37 ),
    inference(rat,[],[s6691,s3595,s1208,s3481,s5698]) ).

cnf(s8690,plain,
    ( ~ spl0_315
    | ~ spl0_618
    | ~ spl0_100
    | ~ spl0_23
    | ~ spl0_393
    | spl0_38
    | ~ spl0_196
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2024,s5742,s3026,s5518,s3781,s160,s53,s5476,s2184,s6033,s1208,s3780,s171,s159,s7314,s8689,s2233,s8687]) ).

cnf(s8691,plain,
    ( spl0_315
    | ~ spl0_110
    | ~ spl0_100
    | ~ spl0_200
    | ~ spl0_23
    | ~ spl0_417
    | ~ spl0_196
    | ~ spl0_367
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s5424,s3868,s6961,s3577,s8484]) ).

cnf(s8692,plain,
    ( spl0_38
    | ~ spl0_301
    | ~ spl0_196
    | ~ spl0_303
    | spl0_195
    | spl0_346
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8357,s5221,s1208,s8690,s3780,s8691,s171,s159,s8509,s2827,s7993,s8688,s7383,s7337,s2611,s1727,s1241,s8223,s7314,s2233,s8687,s5225,s1835,s5356,s2952,s7381,s8437,s8034]) ).

cnf(s8693,plain,
    ( spl0_23
    | ~ spl0_200
    | spl0_315
    | spl0_195
    | ~ spl0_363
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3806,s8484,s1786,s1208,s10,s8431,s6139,s4485,s7148,s1679,s6064,s6398,s1,s15,s280,s7314,s8034,s8687]) ).

cnf(s8694,plain,
    ( ~ spl0_303
    | spl0_195
    | spl0_192
    | spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s272,s6450,s161,s307,s171,s8046,s8691,s2611,s5424,s5635,s8509,s7225,s6961,s7993,s6724,s7337,s5077,s6461,s8693,s3579,s2721,s8692,s8045,s6957,s3276,s5127,s8180,s4324,s7381,s8437,s6659,s7314,s8034,s8687,s5805,s2151,s5225,s1835]) ).

cnf(s8695,plain,
    ( spl0_23
    | spl0_360
    | ~ spl0_393
    | ~ spl0_370
    | spl0_38
    | ~ spl0_432
    | ~ spl0_304
    | ~ spl0_428
    | ~ spl0_466
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4647,s6468,s4216,s681,s6396,s7764,s6957,s3276,s5127,s2536,s6109,s6691,s5581,s1208,s8216,s4485,s67,s1679,s6659,s7314,s2233,s8687,s6064,s6398,s1,s8034,s15]) ).

cnf(s8696,plain,
    ( ~ spl0_196
    | ~ spl0_23
    | ~ spl0_393
    | ~ spl0_370
    | spl0_38
    | ~ spl0_304
    | ~ spl0_466
    | ~ spl0_365
    | spl0_323
    | ~ spl0_37
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s160,s8109,s53,s7681,s5025,s1208,s3780,s4930,s2122,s8509,s5014,s6101,s7353,s1653,s6957,s8689,s3276,s7337,s1241]) ).

cnf(s8697,plain,
    ( spl0_38
    | ~ spl0_432
    | ~ spl0_304
    | spl0_195
    | spl0_192
    | ~ spl0_428
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8383,s1208,s1997,s5644,s6957,s6919,s6101,s3584,s8370,s5127,s8696,s8695,s4685,s8252,s7383,s1727,s8223,s7314,s2233,s8034,s8687,s1835,s5805,s2151]) ).

cnf(s8698,plain,
    ( ~ spl0_196
    | spl0_23
    | ~ spl0_38
    | ~ spl0_304
    | spl0_195
    | ~ spl0_466
    | ~ spl0_363
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8693,s5026,s6957,s2721,s3276,s6659,s8687]) ).

cnf(s8699,plain,
    ( spl0_23
    | ~ spl0_38
    | ~ spl0_432
    | ~ spl0_304
    | spl0_195
    | spl0_192
    | ~ spl0_466
    | spl0_401
    | ~ spl0_193
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5312,s6034,s5708,s2514,s5509,s5581,s5752,s6109,s6114,s4685,s6200,s6919,s7381,s2223,s3584,s8180,s5127,s8698,s4485,s67,s1679,s6659,s8687,s6064,s6398,s1,s8034,s15]) ).

cnf(s8700,plain,
    ( ~ spl0_196
    | spl0_306
    | ~ spl0_38
    | ~ spl0_304
    | ~ spl0_466 ),
    inference(rat,[],[s5014,s6962,s6957,s2721,s3276]) ).

cnf(s8701,plain,
    ( spl0_195
    | spl0_192
    | spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s2002,s8383,s6201,s6957,s6101,s8370,s6200,s1997,s1653,s6919,s7381,s3584,s8180,s5127,s8700,s5077,s8699,s8697,s5894,s6955,s8694,s1835,s2202,s7314,s8034,s8687,s5805,s2151,s6960]) ).

cnf(s8702,plain,
    ( spl0_38
    | ~ spl0_432
    | ~ spl0_304
    | ~ spl0_370
    | ~ spl0_393
    | spl0_192
    | ~ spl0_428
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8383,s1208,s6957,s1997,s5644,s6101,s6919,s8370,s3584,s5127,s8696,s8695,s4685,s8252,s7314,s2233,s8034,s8687,s1835,s5805,s2151]) ).

cnf(s8703,plain,
    ( ~ spl0_196
    | ~ spl0_35
    | ~ spl0_38
    | ~ spl0_304
    | ~ spl0_393
    | ~ spl0_466
    | ~ spl0_365
    | ~ spl0_41
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(rat,[],[s1208,s8431,s6691,s5026,s6957,s2721,s3276]) ).

cnf(s8704,plain,
    ( spl0_23
    | ~ spl0_38
    | ~ spl0_304
    | ~ spl0_370
    | spl0_377
    | ~ spl0_197
    | spl0_192
    | ~ spl0_466
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6034,s5801,s5312,s7381,s2223,s8180,s5127,s8703,s687,s51,s10,s6139,s4485,s7148,s67,s1679,s6659,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8034,s8687,s7383]) ).

cnf(s8705,plain,
    ( spl0_192
    | spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7454,s8383,s2002,s6957,s8261,s5615,s6101,s5974,s1997,s1653,s6232,s8370,s4685,s6919,s7381,s5850,s3584,s8180,s7382,s5127,s6747,s8700,s7337,s5077,s8704,s8702,s5894,s6955,s2611,s4017,s1724,s3806,s8452,s3646,s7383,s6307,s1998,s538,s8701,s1870,s6398,s1,s2233,s280,s7314,s8034,s8687,s1835,s5805,s2151,s6960]) ).

cnf(s8706,plain,
    ( spl0_38
    | spl0_195
    | ~ spl0_192
    | spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s144,s274,s171,s8156,s5575,s2750,s272,s7353,s2490,s2677,s3920,s8423,s6957,s5476,s3179,s8178,s7381,s8437,s6956,s3073,s7681,s6691,s6839,s1786,s1208,s10,s5405,s8216,s6139,s5290,s4237,s4485,s7148,s67,s53,s5175,s3279,s2493,s6747,s6181,s7383,s7337,s2927,s1727,s1241,s458,s8223,s1679,s7314,s2233,s6064,s15,s41,s4134,s6398,s1,s8034,s8687,s5524,s4868,s5225,s1835,s7382,s3755,s5805,s2151]) ).

cnf(s8707,plain,
    ( ~ spl0_87
    | ~ spl0_47
    | ~ spl0_512
    | ~ spl0_94
    | ~ spl0_417
    | ~ spl0_35 ),
    inference(rat,[],[s4121,s319,s171,s6171,s2281,s144]) ).

cnf(s8708,plain,
    ( spl0_23
    | spl0_392
    | spl0_195
    | ~ spl0_362
    | spl0_346
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1212,s8693,s1982,s5640,s7381,s4253,s5606,s307,s8707,s4500,s7334,s3500,s2183,s4183,s1798,s5324,s6747,s7337,s2081,s2927,s6839,s51,s1786,s10,s6139,s4485,s7148,s1679,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8034,s8687,s2952]) ).

cnf(s8709,plain,
    ( spl0_195
    | spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s7383,s7337,s2294,s5077,s6461,s8708,s3011,s8706,s7314,s8034,s8687,s1835,s7382,s3755,s8705,s5805,s2151]) ).

cnf(s8710,plain,
    ( spl0_346
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1996,s7353,s2645,s2514,s6957,s5581,s6101,s6109,s8362,s5127,s8703,s5894,s6955,s2611,s4017,s4485,s67,s1724,s5077,s1241,s3806,s2140,s8452,s6747,s3646,s7383,s6307,s1998,s538,s8709,s7382,s4868,s3755,s8705,s1679,s6659,s2233,s6064,s6398,s1,s15,s280,s7314,s8034,s8687,s5805,s2151,s5225,s1835]) ).

cnf(s8711,plain,
    ( spl0_192
    | ~ spl0_110
    | spl0_558
    | ~ spl0_99
    | ~ spl0_367
    | spl0_309
    | ~ spl0_63
    | spl0_484
    | ~ spl0_466
    | ~ spl0_363
    | ~ spl0_365 ),
    inference(rat,[],[s6396,s5296,s6957,s2677,s3276,s5328,s5127,s4874,s8180,s6033]) ).

cnf(s8712,plain,
    ( spl0_23
    | spl0_360
    | spl0_377
    | spl0_38
    | ~ spl0_421
    | spl0_418
    | ~ spl0_346
    | spl0_484
    | ~ spl0_466
    | ~ spl0_193
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7335,s2677,s6311,s5296,s5405,s6181,s7382,s3755,s8711,s171,s6171,s144,s3731,s274,s8156,s2750,s8357,s8178,s7353,s7381,s6283,s2675,s53,s6956,s3806,s2422,s7681,s6691,s1786,s6033,s1208,s10,s8216,s6139,s4485,s7148,s67,s1679,s6064,s15,s2104,s8223,s5843,s2927,s458,s41,s4134,s6398,s1,s7314,s8687,s8034,s7383]) ).

cnf(s8713,plain,
    ( ~ spl0_303
    | spl0_192
    | ~ spl0_23
    | ~ spl0_393
    | spl0_327
    | spl0_38
    | ~ spl0_346
    | spl0_484
    | ~ spl0_363
    | ~ spl0_365
    | ~ spl0_37
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1905,s8689,s8180,s7353,s7381,s6283,s2675]) ).

cnf(s8714,plain,
    ( spl0_192
    | ~ spl0_23
    | ~ spl0_393
    | spl0_327
    | ~ spl0_370
    | spl0_38
    | ~ spl0_421
    | spl0_418
    | ~ spl0_346
    | spl0_484
    | ~ spl0_466
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | ~ spl0_37
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s6919,s3584,s5644,s5127,s6961,s8696,s7681,s6955,s8713]) ).

cnf(s8715,plain,
    ( spl0_38
    | spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s7382,s3279,s3755,s5524,s8714,s8712,s4685,s8252,s7383,s2104,s1727,s8223,s5805,s2151,s3673,s3204,s2233,s5843,s5225,s1835,s7337,s2045,s8710,s280,s7314,s8034,s8687]) ).

cnf(s8716,plain,
    ( ~ spl0_367
    | spl0_192
    | spl0_23
    | ~ spl0_38
    | spl0_195
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3579,s8693,s2721,s5127,s8180,s6659,s8687]) ).

cnf(s8717,plain,
    ( spl0_192
    | spl0_23
    | ~ spl0_38
    | ~ spl0_421
    | spl0_195
    | spl0_418
    | spl0_484
    | ~ spl0_466
    | spl0_401
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5312,s5708,s6034,s8431,s2223,s6961,s5127,s7681,s8698,s6955,s2675,s7381,s8716,s6659,s280,s7314,s8687,s67,s4485,s6064,s6398,s1,s8034,s15,s1679]) ).

cnf(s8718,plain,
    ( spl0_23
    | ~ spl0_38
    | ~ spl0_421
    | spl0_195
    | spl0_418
    | spl0_484
    | ~ spl0_466
    | spl0_401
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s1208,s6955,s5708,s2675,s7381,s4253,s5606,s307,s4500,s8707,s7334,s3500,s2183,s1798,s6747,s5324,s7382,s3011,s3755,s8717,s2927,s3806,s51,s1786,s10,s6139,s4485,s7148,s1679,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8034,s8687,s2952]) ).

cnf(s8719,plain,
    ( ~ spl0_303
    | spl0_192
    | ~ spl0_23
    | ~ spl0_38
    | ~ spl0_421
    | ~ spl0_346
    | spl0_484
    | ~ spl0_466
    | ~ spl0_363
    | ~ spl0_365
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s2104,s7225,s6283,s7993,s3579,s6957,s2721,s3276,s5127,s8180,s7381,s2675]) ).

cnf(s8720,plain,
    ( spl0_192
    | ~ spl0_23
    | ~ spl0_38
    | spl0_306
    | spl0_418
    | ~ spl0_346
    | spl0_484
    | ~ spl0_466
    | ~ spl0_363
    | ~ spl0_365
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s1653,s6919,s6120,s2002,s3584,s2122,s6961,s5127,s7525,s7681,s8700,s6955,s8719,s7337]) ).

cnf(s8721,plain,
    ( spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s7383,s7382,s2294,s3011,s3755,s8720,s6461,s8718,s8715,s7337,s5843,s2045,s3673,s8710,s5225,s5805,s2202,s1835,s6659,s280,s7314,s2151,s3204,s2233,s8034,s8687]) ).

cnf(s8722,plain,
    ( spl0_23
    | ~ spl0_319
    | ~ spl0_511
    | ~ spl0_305
    | ~ spl0_94
    | ~ spl0_362
    | ~ spl0_421
    | spl0_484
    | ~ spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3273,s2389,s5288,s5742,s131,s5295,s7351,s2819,s7375,s2669,s7381,s5555,s950,s1982,s3271,s2675,s3811,s3634,s681,s6956,s140,s112,s171,s2405,s7681,s269,s4314,s2536,s5175,s2444,s53,s6691,s6747,s2422,s7383,s10,s8428,s6139,s4485,s7148,s67,s1679,s2233,s6064,s6398,s1,s15,s280,s7314,s8687,s1653,s3017,s538,s5988,s8034]) ).

cnf(s8723,plain,
    ( ~ spl0_360
    | ~ spl0_23
    | ~ spl0_319
    | ~ spl0_305
    | ~ spl0_421
    | spl0_493 ),
    inference(rat,[],[s6592,s7681,s3271,s4954]) ).

cnf(s8724,plain,
    ( spl0_192
    | spl0_360
    | ~ spl0_362
    | ~ spl0_223 ),
    inference(rat,[],[s4432,s6865,s1870]) ).

cnf(s8725,plain,
    ( ~ spl0_392
    | spl0_321
    | spl0_196
    | spl0_200
    | ~ spl0_302
    | ~ spl0_502
    | ~ spl0_367
    | ~ spl0_203
    | ~ spl0_509
    | ~ spl0_49
    | ~ spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5058,s3152,s6331,s272,s307,s952,s2490,s1838,s2384,s8398,s171,s1737,s4314,s3646,s2444,s2233,s8687,s538,s2927]) ).

cnf(s8726,plain,
    ( spl0_38
    | ~ spl0_417
    | spl0_484
    | ~ spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s145,s8398,s6174,s6262,s1798,s8452,s8725,s2082,s8394,s3276,s5141,s3920,s6956,s6957,s2893,s3179,s5476,s7381,s4726,s3073,s8724,s8723,s8722,s5405,s8265,s6033,s1208,s2927,s2012,s458,s7314,s41,s4134,s6398,s1,s2151,s3204,s2233,s8687,s7235,s1653,s3017,s7337,s2081,s7382,s3334,s5988,s8034]) ).

cnf(s8727,plain,
    ( spl0_23
    | ~ spl0_51
    | spl0_513
    | spl0_47
    | ~ spl0_511
    | spl0_192
    | ~ spl0_38
    | ~ spl0_421
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_348
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7774,s3276,s5127,s6957,s3275,s3288,s2992,s946,s2384,s5800,s272,s112,s171,s321,s4314,s140,s2927,s269,s51,s10,s6139,s5288,s4485,s7148,s67,s1679,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8687,s3017,s5988,s7383,s3500,s7235,s8034]) ).

cnf(s8728,plain,
    ( ~ spl0_303
    | ~ spl0_360
    | spl0_192
    | spl0_327
    | spl0_484
    | ~ spl0_363
    | ~ spl0_365 ),
    inference(rat,[],[s8180,s5127,s7381,s5100,s2675]) ).

cnf(s8729,plain,
    ( spl0_192
    | ~ spl0_38
    | ~ spl0_362
    | spl0_306
    | spl0_327
    | spl0_484
    | ~ spl0_223
    | ~ spl0_363
    | ~ spl0_365
    | ~ spl0_348
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6120,s2002,s2122,s6961,s7525,s7681,s6955,s8728,s8727,s53,s2493,s3088,s7383,s3500,s2444,s2718,s6444,s4237,s2680,s8724,s6865,s7314,s8687,s5988,s7235,s8034,s1653,s3017,s7337]) ).

cnf(s8730,plain,
    ( ~ spl0_196
    | ~ spl0_466
    | ~ spl0_23
    | ~ spl0_421
    | spl0_206
    | spl0_31 ),
    inference(rat,[],[s7321,s7993,s3276]) ).

cnf(s8731,plain,
    ( ~ spl0_309
    | ~ spl0_367
    | ~ spl0_23
    | ~ spl0_201
    | ~ spl0_365
    | ~ spl0_41
    | spl0_31
    | ~ spl0_32 ),
    inference(rat,[],[s3579,s6120,s3306,s2002]) ).

cnf(s8732,plain,
    ( ~ spl0_94
    | spl0_196
    | ~ spl0_370
    | spl0_200
    | ~ spl0_302
    | ~ spl0_502
    | ~ spl0_509
    | ~ spl0_34
    | ~ spl0_377
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3152,s5058,s307,s272,s2544,s161,s171,s131,s8398,s3541,s6174,s2082,s6262,s280,s7314,s8687,s5988]) ).

cnf(s8733,plain,
    ( ~ spl0_90
    | ~ spl0_319
    | ~ spl0_305
    | ~ spl0_367
    | spl0_392
    | ~ spl0_38
    | ~ spl0_365 ),
    inference(rat,[],[s5374,s3833,s319,s6037,s7351,s321,s2732]) ).

cnf(s8734,plain,
    ( ~ spl0_363
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8732,s4484,s2721,s8733,s3579,s6963,s6201,s3920,s6330,s6957,s3174,s3179,s5476,s1208,s8731,s5405,s7381,s4237,s6538,s6461,s3770,s4485,s4661,s8428,s1798,s8452,s3011,s8729,s8726,s4305,s7382,s7337,s3334,s2081,s2678,s5144,s3806,s2880,s1653,s7235,s5988,s3017,s8721,s1679,s6659,s6064,s6398,s1,s15,s280,s7314,s8034,s8687,s2151]) ).

cnf(s8736,plain,
    ( ~ spl0_421
    | spl0_377
    | spl0_195
    | spl0_192
    | ~ spl0_63
    | spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | ~ spl0_348
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s6034,s5312,s7600,s2223,s3584,s5127,s3276,s3769,s6957,s3071,s5357,s3545,s5221,s5662,s7382,s4238,s6960,s5712,s3673,s6855,s6659,s8687,s280,s7383]) ).

cnf(s8737,plain,
    ( ~ spl0_309
    | ~ spl0_302
    | ~ spl0_306
    | ~ spl0_35
    | ~ spl0_41
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s7353,s1996,s8431,s2645]) ).

cnf(s8738,plain,
    ( spl0_377
    | spl0_195
    | spl0_192
    | spl0_23
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7353,s1996,s1212,s6062,s6691,s1208,s8737,s6957,s6716,s2507,s6312,s5357,s6394,s3545,s5207,s7382,s6839,s5641,s2520,s2081,s2140,s8736,s7383,s6659,s280,s2151,s3204,s2233,s7380,s8734,s2202,s7314,s67,s4485,s6064,s6398,s1,s8034,s15,s1679,s10,s6139,s7148,s8687]) ).

cnf(s8739,plain,
    ( spl0_195
    | spl0_192
    | spl0_23
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s131,s5282,s2975,s4263,s7983,s7382,s8463,s5632,s2183,s4183,s8738,s1786,s2151,s7380,s8734,s2927,s51,s10,s6139,s7148,s41,s4134,s6398,s1,s280,s7314,s8687,s8034]) ).

cnf(s8740,plain,
    ( ~ spl0_466
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_370
    | spl0_377
    | ~ spl0_197
    | spl0_192
    | spl0_23
    | ~ spl0_365
    | ~ spl0_348
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1997,s8383,s3294,s3584,s1208,s5847,s5127,s8216,s3276,s8704,s7314,s8687,s4485,s6064,s6398,s1,s8034,s15,s1679]) ).

cnf(s8741,plain,
    ( spl0_192
    | spl0_23
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7353,s1996,s1212,s6062,s6691,s1208,s8737,s5641,s2140,s6855,s5712,s8740,s6957,s6955,s6716,s2611,s2507,s6312,s5357,s6394,s8452,s3545,s3646,s7383,s6307,s1998,s538,s8739,s6659,s2233,s280,s7314,s2151,s7380,s8734,s1835,s67,s4485,s6064,s6398,s1,s8034,s15,s1679,s10,s6139,s7148,s8687]) ).

cnf(s8742,plain,
    ( ~ spl0_418
    | spl0_195
    | ~ spl0_192
    | ~ spl0_364
    | spl0_493
    | ~ spl0_348
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s4238,s3755,s6960,s5712,s3673]) ).

cnf(s8743,plain,
    ( ~ spl0_309
    | ~ spl0_306
    | ~ spl0_35
    | spl0_607
    | spl0_493
    | ~ spl0_41
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s7353,s1996,s8431,s6889]) ).

cnf(s8744,plain,
    ( ~ spl0_393
    | spl0_418
    | ~ spl0_192
    | ~ spl0_35
    | ~ spl0_364
    | ~ spl0_365
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6120,s4726,s7353,s7381,s1212,s8357,s6691,s1208,s8743,s3011,s5641,s1241,s2140,s6855,s280,s7314,s3204,s2233,s8687,s5409]) ).

cnf(s8745,plain,
    ( spl0_195
    | ~ spl0_192
    | ~ spl0_13
    | ~ spl0_35
    | spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3798,s4228,s7337,s2718,s2045,s3011,s8463,s1727,s4183,s1798,s8744,s6198,s7006,s8742,s280,s7314,s2151,s3204,s2233,s8687]) ).

cnf(s8746,plain,
    ( spl0_23
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6945,s1212,s2179,s2384,s6691,s4263,s1208,s8599,s8743,s5641,s2140,s6747,s7382,s3755,s5712,s8204,s8452,s8744,s3646,s7383,s687,s6307,s1998,s538,s8745,s8741,s2927,s51,s10,s6139,s4485,s7148,s1679,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s2151,s3204,s2233,s8034,s8687,s5409,s7380,s8734,s1835]) ).

cnf(s8747,plain,
    ( ~ spl0_393
    | ~ spl0_421
    | spl0_195
    | ~ spl0_388
    | ~ spl0_23
    | spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s2002,s6691,s6201,s6113,s1653,s3336,s5127,s3276,s3769,s6957,s3071,s5357,s3545,s5221,s5662,s7382,s4238,s8494,s6960,s4954,s5712,s3673,s6855,s2151]) ).

cnf(s8748,plain,
    ( ~ spl0_421
    | spl0_195
    | ~ spl0_388
    | ~ spl0_23
    | spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s4228,s3798,s6198,s7006,s3673,s3463,s4238,s2718,s7382,s5226,s5850,s4070,s1798,s8747,s1835]) ).

cnf(s8749,plain,
    ( ~ spl0_309
    | ~ spl0_390
    | ~ spl0_306
    | ~ spl0_23
    | spl0_607
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5120,s6957,s5127,s6101,s3336,s6955,s1997,s3585,s6889,s2002]) ).

cnf(s8750,plain,
    ( spl0_195
    | ~ spl0_388
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6101,s6062,s6955,s1996,s8437,s7353,s7381,s1212,s8357,s6691,s1208,s8749,s7383,s4183,s5207,s8486,s7382,s5795,s4238,s8494,s6960,s6497,s2045,s5641,s2081,s2140,s8748,s15,s280,s2151,s3204,s2233,s5409,s7380,s8734,s2202,s6461,s8746,s7314,s8034,s8687]) ).

cnf(s8751,plain,
    ( ~ spl0_421
    | ~ spl0_527
    | ~ spl0_393
    | ~ spl0_388
    | ~ spl0_23
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s1208,s2002,s6691,s6201,s6113,s1653,s3336,s5127,s3276,s3769,s8494,s6957,s4954,s5712,s3071,s6855,s2151]) ).

cnf(s8752,plain,
    ( ~ spl0_388
    | spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6957,s6955,s6062,s5141,s1996,s2827,s7353,s1212,s6691,s1208,s8749,s8494,s6497,s5077,s5641,s2140,s8751,s5357,s3545,s3646,s7383,s6307,s1998,s538,s8750,s280,s2151,s3204,s2233,s5409,s7380,s8734,s1835,s6461,s8746,s7314,s8034,s8687]) ).

cnf(s8753,plain,
    ( ~ spl0_309
    | ~ spl0_47
    | ~ spl0_306
    | spl0_392
    | ~ spl0_23
    | spl0_607
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s6919,s3587,s5120,s6962,s6957,s1212,s6101,s7353,s6955,s1997,s1996,s3585,s6889,s2002]) ).

cnf(s8754,plain,
    ( ~ spl0_306
    | ~ spl0_393
    | spl0_392
    | ~ spl0_192
    | ~ spl0_23
    | spl0_607
    | ~ spl0_365
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6120,s4726,s7353,s7381,s1212,s8357,s6691,s1208,s8753,s5641,s7314,s3204,s2233,s8687]) ).

cnf(s8755,plain,
    ( spl0_223
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3755,s7382,s5712,s6747,s6855,s7337,s8754,s7383,s3279,s2294,s5524,s1870,s8752,s6461,s8746,s1835,s7314,s2233,s8034,s8687,s2151,s5409,s7380,s8734]) ).

cnf(s8756,plain,
    ( ~ spl0_309
    | ~ spl0_466
    | ~ spl0_418
    | spl0_192
    | spl0_23
    | ~ spl0_223
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2611,s3334,s6956,s7382,s8704,s8724,s1982,s2680,s3306,s2012,s1653,s3017,s538,s8428,s4485,s6064,s6398,s1,s15,s1679,s280,s7314,s5988,s8034,s10,s6139,s7148,s8687]) ).

cnf(s8757,plain,
    ( ~ spl0_418
    | spl0_192
    | spl0_23
    | spl0_327
    | ~ spl0_223
    | spl0_607
    | ~ spl0_365
    | ~ spl0_348
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6957,s6955,s3769,s2670,s6113,s6691,s1208,s8756,s5712,s3017,s7383,s8428,s4485,s6064,s6398,s1,s15,s1679,s280,s7314,s8687,s5988,s8034]) ).

cnf(s8758,plain,
    ( ~ spl0_306
    | ~ spl0_393
    | ~ spl0_63
    | spl0_320
    | ~ spl0_195
    | ~ spl0_223
    | spl0_607
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s3275,s2721,s5357,s6691,s3545,s1208,s2444,s6889,s5641,s1241]) ).

cnf(s8759,plain,
    ( spl0_23
    | ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6957,s6955,s3769,s2670,s6113,s6691,s1208,s2012,s3011,s6747,s7382,s3755,s8757,s5712,s6855,s7337,s8758,s7383,s8428,s4485,s67,s1679,s6064,s6398,s1,s15,s280,s2151,s3204,s2233,s5409,s7380,s8734,s5988,s1997,s7314,s8034,s8687,s5144,s1653,s3017,s8755]) ).

cnf(s8760,plain,
    ( ~ spl0_393
    | spl0_192
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_383
    | spl0_206
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_371 ),
    inference(rat,[],[s6550,s5902,s8180,s6956,s7382,s5127,s5892,s8724,s8730,s5077,s5357,s4954,s5712,s8751,s6855,s2151,s1870]) ).

cnf(s8761,plain,
    ( spl0_192
    | ~ spl0_421
    | ~ spl0_23
    | ~ spl0_383
    | ~ spl0_195
    | spl0_206
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4954,s6444,s8724,s6865,s2718,s7382,s2444,s5633,s3500,s4183,s1798,s8760]) ).

cnf(s8762,plain,
    ( ~ spl0_393
    | ~ spl0_192
    | ~ spl0_421
    | ~ spl0_23
    | spl0_327
    | spl0_206
    | ~ spl0_364
    | ~ spl0_365
    | ~ spl0_348
    | spl0_31 ),
    inference(rat,[],[s6101,s6957,s6955,s3769,s2670,s6113,s6691,s1208,s5644,s3011,s6747,s7382,s3755,s5712,s6855,s5409]) ).

cnf(s8763,plain,
    ( spl0_418
    | ~ spl0_468
    | ~ spl0_421
    | ~ spl0_364 ),
    inference(rat,[],[s4228,s3798,s6198,s7006]) ).

cnf(s8764,plain,
    ( ~ spl0_421
    | ~ spl0_23
    | ~ spl0_383
    | ~ spl0_195
    | spl0_206
    | ~ spl0_223
    | ~ spl0_364
    | ~ spl0_365
    | spl0_323
    | ~ spl0_37
    | spl0_31
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s7789,s6962,s2670,s8763,s6956,s2893,s5476,s6033,s1208,s8731,s7382,s7381,s2718,s5633,s6538,s6464,s4183,s1798,s8762,s8761,s6659,s8687,s280,s2151,s3204,s5144,s1653]) ).

cnf(s8765,plain,
    ( ~ spl0_365
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6062,s2122,s6957,s3165,s6101,s4228,s6955,s6198,s2718,s1208,s5141,s5712,s2444,s6889,s5077,s5641,s2140,s8764,s8759,s1997,s7235,s5988,s3017,s8755,s5409,s7380,s8734,s7314,s2151,s3204,s2233,s8034,s8687]) ).

cnf(s8766,plain,
    ( ~ spl0_361
    | spl0_195
    | spl0_418
    | ~ spl0_363
    | ~ spl0_421
    | ~ spl0_13
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6960,s6955,s6957,s6769,s5222,s4124,s1760,s5144,s1982,s7353,s3953,s5632,s1786]) ).

cnf(s8767,plain,
    ( ~ spl0_362
    | spl0_418
    | ~ spl0_393
    | ~ spl0_363
    | spl0_192
    | ~ spl0_421
    | ~ spl0_193
    | ~ spl0_63
    | spl0_31 ),
    inference(rat,[],[s2668,s5295,s4685,s5288,s5226,s4237,s6747]) ).

cnf(s8768,plain,
    ( spl0_418
    | ~ spl0_393
    | ~ spl0_363
    | spl0_192
    | ~ spl0_421
    | ~ spl0_193
    | ~ spl0_13
    | ~ spl0_63
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4866,s6957,s5144,s6836,s7353,s3953,s5633,s3334,s2678,s8766,s7382,s8767,s7314,s8687,s5225]) ).

cnf(s8769,plain,
    ( ~ spl0_383
    | ~ spl0_361
    | ~ spl0_428
    | ~ spl0_363
    | ~ spl0_13
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s7764,s6955,s6957,s5222,s4124,s5144,s1982,s7353,s3953,s5632]) ).

cnf(s8770,plain,
    ( ~ spl0_393
    | ~ spl0_363
    | spl0_192
    | ~ spl0_421
    | ~ spl0_193
    | ~ spl0_13
    | ~ spl0_63
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4866,s6957,s5144,s6836,s7353,s3953,s5633,s3334,s1786,s8769,s7382,s6747,s6960,s5175,s3673,s8768,s3204,s2233,s8687,s5225]) ).

cnf(s8771,plain,
    ( spl0_387
    | ~ spl0_383
    | ~ spl0_13
    | ~ spl0_366 ),
    inference(rat,[],[s1982,s4122,s5975]) ).

cnf(s8772,plain,
    ( spl0_418
    | ~ spl0_387
    | ~ spl0_362
    | ~ spl0_363
    | spl0_192
    | ~ spl0_421
    | ~ spl0_193
    | ~ spl0_63
    | spl0_31
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(rat,[],[s5226,s4685,s6394,s2669,s6312,s5295,s4305,s5288,s6769,s4237,s6659,s8687]) ).

cnf(s8773,plain,
    ( ~ spl0_363
    | spl0_192
    | ~ spl0_421
    | ~ spl0_193
    | spl0_23
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6312,s6394,s4305,s5175,s3673,s8772,s8771,s7382,s5632,s1786,s8428,s4183,s1798,s8770,s6659,s280,s7314,s3204,s2233,s7378,s8765,s67,s4485,s6064,s6398,s1,s8034,s15,s1679,s10,s6139,s7148,s8687,s5225]) ).

cnf(s8774,plain,
    ( spl0_418
    | ~ spl0_364
    | ~ spl0_421
    | ~ spl0_13
    | ~ spl0_35
    | ~ spl0_366
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s8771,s8463,s1786,s8428,s4183,s1798,s6855,s280,s7314,s8687]) ).

cnf(s8775,plain,
    ( spl0_195
    | spl0_346
    | ~ spl0_364
    | spl0_223
    | ~ spl0_13
    | ~ spl0_366
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6955,s6957,s8560,s4124,s5144,s6149,s1982,s7353,s7382,s3953,s4238,s8463,s1786,s8034,s6960]) ).

cnf(s8776,plain,
    ( spl0_192
    | ~ spl0_421
    | spl0_223
    | spl0_23
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s5328,s2179,s144,s4874,s274,s8495,s6232,s6455,s7381,s1241,s6682,s2680,s6962,s8494,s2750,s5795,s3769,s4124,s6957,s6955,s6836,s2065,s1982,s7353,s3953,s5633,s7382,s8452,s6747,s53,s3646,s2095,s7383,s687,s6307,s8428,s538,s8775,s3673,s8774,s7380,s8773,s1870,s2151,s3204,s2233,s7378,s8765,s67,s4485,s6064,s15,s1679,s2927,s51,s10,s6139,s7148,s41,s4134,s6398,s1,s280,s7314,s8687,s8034,s1835]) ).

cnf(s8777,plain,
    ( ~ spl0_327
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s1653,s7225,s5144,s2104]) ).

cnf(s8778,plain,
    ( ~ spl0_363
    | ~ spl0_192
    | ~ spl0_421
    | spl0_484
    | spl0_223
    | ~ spl0_13
    | ~ spl0_35
    | spl0_327
    | ~ spl0_366
    | ~ spl0_348
    | ~ spl0_41
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1786,s8428,s1840,s1798,s3841,s6747,s7225,s5226,s4708,s4686,s5127,s5609,s6101,s7382,s6957,s6955,s3755,s4866,s5222,s4868,s5805,s4199,s1835]) ).

cnf(s8779,plain,
    ( ~ spl0_421
    | spl0_223
    | spl0_23
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s3646,s7383,s6307,s7382,s8428,s538,s3755,s8742,s5712,s8774,s7380,s8778,s8776,s280,s7314,s2151,s3204,s2233,s7378,s8765,s8777,s4485,s6064,s6398,s1,s8034,s15,s1679,s10,s6139,s7148,s8687,s5225,s1835]) ).

cnf(s8780,plain,
    ( ~ spl0_363
    | ~ spl0_428
    | ~ spl0_47
    | spl0_417
    | ~ spl0_306
    | ~ spl0_13
    | spl0_327
    | ~ spl0_366
    | spl0_493
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s8146,s7225,s6962,s6468,s1212,s681,s7764,s8082,s1786,s7383,s6957,s6955,s3806,s3904,s4866,s5222,s8034]) ).

cnf(s8781,plain,
    ( spl0_87
    | spl0_418
    | spl0_383
    | ~ spl0_468
    | ~ spl0_364
    | spl0_417
    | ~ spl0_13
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s4234,s6221,s4295,s2542,s307]) ).

cnf(s8782,plain,
    ( ~ spl0_361
    | ~ spl0_393
    | ~ spl0_195
    | ~ spl0_364
    | spl0_346
    | ~ spl0_47
    | spl0_417
    | ~ spl0_306
    | ~ spl0_193
    | ~ spl0_94
    | ~ spl0_13
    | ~ spl0_35
    | ~ spl0_63
    | ~ spl0_366
    | spl0_493
    | spl0_323
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s7494,s3118,s171,s2281,s3168,s144,s8781,s6447,s2680,s6109,s4124,s5894,s5581,s6957,s6955,s7890,s1996,s6836,s2065,s1982,s7353,s5127,s3953,s4686,s5633,s5850,s1241,s6960,s2718,s2444]) ).

cnf(s8783,plain,
    ( spl0_223
    | spl0_23
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6945,s2179,s6266,s2384,s4263,s8599,s7382,s8782,s7383,s687,s2444,s8428,s538,s8775,s7380,s8780,s6960,s2045,s5641,s2081,s2140,s8779,s1835,s6659,s3204,s2233,s7378,s8765,s8777,s67,s4485,s6064,s15,s1679,s2927,s51,s10,s6139,s7148,s41,s4134,s6398,s1,s280,s7314,s8687,s8034]) ).

cnf(s8784,plain,
    ( spl0_23
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3203,s3271,s5289,s6956,s6181,s2893,s7382,s7380,s2819,s4124,s6201,s4866,s950,s6957,s3634,s6724,s112,s140,s7337,s4314,s269,s3508,s4662,s2444,s8357,s1982,s7353,s7381,s1208,s681,s53,s5999,s2052,s684,s5030,s7383,s2733,s8771,s4284,s8428,s538,s7235,s5988,s8783,s2927,s51,s10,s6139,s4485,s7148,s67,s1679,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8687,s7378,s8765,s8777,s8034]) ).

cnf(s8785,plain,
    ( ~ spl0_386
    | ~ spl0_607
    | ~ spl0_363
    | ~ spl0_366 ),
    inference(rat,[],[s5609,s5127,s4685,s4686]) ).

cnf(s8786,plain,
    ( spl0_195
    | ~ spl0_421
    | spl0_386
    | ~ spl0_301
    | ~ spl0_304
    | ~ spl0_363
    | ~ spl0_23
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s3315,s2405,s7681,s1212,s681,s2680,s5016,s5609,s5690,s5127,s8700,s6235,s1798,s6747,s7382,s5226,s5850,s2536,s2122,s5014,s5077,s5805,s7379,s5988,s7314,s2233,s8687,s2151,s6101]) ).

cnf(s8787,plain,
    ( ~ spl0_193
    | ~ spl0_195
    | ~ spl0_421
    | spl0_386
    | spl0_323
    | ~ spl0_41
    | spl0_31 ),
    inference(rat,[],[s6747,s7383,s7382,s1998,s5226,s5850]) ).

cnf(s8788,plain,
    ( ~ spl0_421
    | ~ spl0_363
    | ~ spl0_23
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7544,s2122,s7382,s5014,s3334,s2081,s3806,s7235,s1835,s8787,s8786,s280,s7314,s8687,s8785,s6101,s6957,s4866,s6955,s5222,s8777]) ).

cnf(s8789,plain,
    ( ~ spl0_363
    | ~ spl0_23
    | ~ spl0_366
    | spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7235,s5805,s3806,s5077,s2081,s2140,s8788,s2151]) ).

cnf(s8790,plain,
    ( ~ spl0_361
    | spl0_195
    | ~ spl0_421
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6957,s6955,s3953,s4124,s8588,s5632,s7147,s5795,s6139,s3494,s10,s5221,s1870,s6258,s8775,s6960,s5662,s8742,s4954,s3673,s6855,s7383,s4070,s4686,s5850,s15,s7314,s2151,s3204,s2233,s8687,s8777,s7380,s8789,s8784,s7378,s8765,s5988,s7379,s8034]) ).

cnf(s8791,plain,
    ( spl0_195
    | ~ spl0_421
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5226,s4070,s2718,s1798,s8763,s6855,s3673,s3463,s4238,s7382,s8790,s7379,s7314,s3204,s2233,s8687,s7380,s8789,s8784,s7378,s8765,s8034]) ).

cnf(s8792,plain,
    ( spl0_223
    | ~ spl0_195
    | ~ spl0_421
    | ~ spl0_364
    | ~ spl0_23
    | ~ spl0_366
    | spl0_323
    | ~ spl0_37
    | spl0_31
    | spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6955,s6957,s2611,s4124,s5795,s8394,s3494,s1870,s3953,s5609,s6258,s3755,s5633,s4954,s5712,s7382,s5127,s6855,s6747,s8452,s4686,s7383,s3646,s8787,s1998,s6307,s1835,s15,s8034,s280,s2151,s3204,s538]) ).

cnf(s8793,plain,
    ( ~ spl0_361
    | ~ spl0_421
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6955,s6957,s2611,s4124,s5609,s8394,s5127,s8730,s4954,s5712,s6855,s2827,s7383,s3953,s4183,s5633,s3334,s2151,s3204,s7235,s8792,s8791,s7380,s8789,s8784,s7378,s8765,s2233,s7314,s8687,s8034]) ).

cnf(s8794,plain,
    ( ~ spl0_393
    | ~ spl0_421
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8725,s5476,s7381,s4726,s6957,s2082,s8265,s6724,s8394,s1208,s8730,s5698,s2827,s7353,s681,s684,s2927,s458,s5405,s3073,s3011,s6455,s8724,s3508,s4954,s5712,s2444,s6855,s6747,s41,s4134,s6398,s1,s2151,s3204,s4284,s7235,s8792,s7380,s8789,s8784,s2233,s7314,s8687,s8034,s7544,s7382,s8793,s7378,s8765,s8791]) ).

cnf(s8795,plain,
    ( ~ spl0_301
    | spl0_306
    | ~ spl0_418
    | ~ spl0_377
    | spl0_315
    | ~ spl0_421
    | ~ spl0_366 ),
    inference(rat,[],[s6240,s3706,s6961,s6956,s6724,s5014,s6962]) ).

cnf(s8796,plain,
    ( ~ spl0_200
    | spl0_538
    | ~ spl0_383
    | ~ spl0_223
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_2 ),
    inference(rat,[],[s6550,s6360,s5999,s3072,s5975,s681,s4284]) ).

cnf(s8797,plain,
    ( spl0_38
    | ~ spl0_502
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_509
    | ~ spl0_377
    | ~ spl0_223
    | ~ spl0_195
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s145,s8398,s6174,s2082,s6262,s2927,s458,s7314,s41,s4134,s6398,s1,s8034,s8687]) ).

cnf(s8798,plain,
    ( ~ spl0_94
    | ~ spl0_502
    | ~ spl0_367
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_509
    | spl0_392
    | ~ spl0_377
    | ~ spl0_429
    | ~ spl0_223
    | ~ spl0_195
    | ~ spl0_37
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7390,s4173,s3875,s171,s5660,s2634,s8398,s6332,s6174,s2082,s6262,s2718]) ).

cnf(s8799,plain,
    ( ~ spl0_305
    | ~ spl0_367
    | ~ spl0_319
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_509
    | ~ spl0_511
    | ~ spl0_466
    | ~ spl0_377
    | ~ spl0_429
    | ~ spl0_223
    | ~ spl0_195
    | ~ spl0_364
    | spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5374,s3833,s319,s6443,s7351,s321,s3002,s2732,s4484,s8798,s8797,s5476,s2233,s6064,s6398,s1,s15,s2444,s7315,s1998,s280,s7314,s8034,s8687]) ).

cnf(s8800,plain,
    ( ~ spl0_421
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s2002,s8799,s7381,s6201,s6538,s8394,s7353,s8796,s3276,s6957,s8795,s5405,s6455,s8724,s5077,s4954,s5712,s8763,s4148,s2718,s2444,s7315,s1998,s1798,s8794,s6962,s7544,s7382,s8793,s7235,s8792,s8791,s6659,s1,s280,s7314,s2151,s3204,s2233,s8687,s7380,s8789,s8784,s7378,s8765,s8034]) ).

cnf(s8801,plain,
    ( spl0_195
    | spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6101,s6955,s6957,s2611,s4124,s5609,s5612,s7147,s5127,s5316,s4686,s2718,s5850,s5207,s6139,s7382,s10,s2202,s4238,s8775,s7379,s5988,s6659,s2081,s5712,s5077,s6960,s2045,s280,s6258,s6497,s2140,s8800,s2151,s6461,s7314,s8687,s7380,s8789,s8784,s7378,s8765,s8034]) ).

cnf(s8803,plain,
    ( ~ spl0_303
    | spl0_466
    | spl0_417
    | ~ spl0_348
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s7225,s2611,s5141]) ).

cnf(s8804,plain,
    ( spl0_370
    | ~ spl0_302
    | ~ spl0_479
    | spl0_418
    | ~ spl0_306
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_32 ),
    inference(rat,[],[s7344,s6062,s5613,s1997,s2925,s7225]) ).

cnf(s8805,plain,
    ( spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2688,s5613,s1835,s6962,s1998,s6062,s1798,s1996,s8357,s7353,s7381,s1208,s681,s5999,s2052,s3072,s4122,s8804,s6957,s5203,s6510,s6114,s6955,s8803,s4284,s5612,s5316,s2718,s2444,s8801,s7006,s6258,s6960,s5712,s6497,s2045,s5077,s5641,s2081,s2140,s8800,s7380,s8789,s6461,s8784,s7378,s8765,s2151,s6659,s280,s7314,s8034,s8687]) ).

cnf(s8806,plain,
    ( spl0_370
    | ~ spl0_196
    | ~ spl0_363
    | spl0_195
    | ~ spl0_365
    | spl0_23
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8693,s2721,s1982,s8223,s7314,s8034,s10,s6139,s7148,s8687]) ).

cnf(s8807,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_363
    | spl0_195
    | spl0_23
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2536,s2405,s8693,s681,s2233,s8034,s8687]) ).

cnf(s8808,plain,
    ( spl0_377
    | ~ spl0_301
    | spl0_418
    | ~ spl0_363
    | spl0_195
    | ~ spl0_365
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8234,s7214,s8156,s4027,s6333,s8712,s5630,s3154,s5357,s7383,s7314,s53,s2773,s4251,s4485,s6064,s6398,s1,s15,s1679,s2944,s1308,s6964,s5100,s2104,s8806,s2721,s5127,s3967,s5707,s6099,s67,s2750,s3579,s7381,s2675,s6956,s5016,s5356,s2952,s8365,s7379,s8034,s1786,s10,s6139,s7148,s8807,s6659,s8687,s1653,s3021,s8805]) ).

cnf(s8809,plain,
    ( ~ spl0_301
    | spl0_418
    | ~ spl0_363
    | spl0_195
    | ~ spl0_365
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1727,s8808,s2721,s3579,s7381,s2675,s6956,s5016,s8807,s5127,s3967,s5707,s1653,s6099,s3021,s6659,s7314,s8805,s67,s5988,s5356,s2952,s8365,s7379,s8034,s1786,s10,s6139,s7148,s8687]) ).

cnf(s8810,plain,
    ( spl0_418
    | ~ spl0_363
    | spl0_195
    | ~ spl0_365
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4685,s8712,s8619,s1727,s8718,s5805,s2565,s1982,s2827,s3920,s6957,s8809,s6769,s2944,s8805,s2202,s5988,s7314,s8365,s7379,s8034,s3806,s1786,s10,s6139,s7148,s8687]) ).

cnf(s8811,plain,
    ( ~ spl0_513
    | ~ spl0_103
    | spl0_324
    | ~ spl0_110
    | ~ spl0_63
    | ~ spl0_323 ),
    inference(rat,[],[s3109,s2396,s5127,s4975,s3967]) ).

cnf(s8812,plain,
    ( ~ spl0_363
    | spl0_195
    | ~ spl0_365
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s5635,s6691,s1982,s3605,s3920,s6957,s5707,s8811,s2389,s131,s7358,s2898,s171,s140,s7383,s4314,s269,s3500,s3545,s5168,s5175,s3673,s8810,s3806,s53,s2773,s4251,s4485,s6064,s15,s1679,s2944,s8805,s67,s2927,s51,s41,s4134,s6398,s1,s280,s7314,s8365,s7379,s8034,s1786,s10,s6139,s7148,s8687]) ).

cnf(s8813,plain,
    ( spl0_418
    | ~ spl0_511
    | ~ spl0_364
    | ~ spl0_383
    | spl0_223
    | ~ spl0_63
    | ~ spl0_421
    | ~ spl0_323
    | spl0_31
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5405,s3166,s7382,s1870,s5632,s3011,s1727,s4183,s2718,s1798,s8763,s6855]) ).

cnf(s8814,plain,
    ( ~ spl0_301
    | spl0_513
    | ~ spl0_477
    | spl0_184
    | ~ spl0_84
    | ~ spl0_86
    | ~ spl0_393
    | ~ spl0_365
    | ~ spl0_421
    | ~ spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s7454,s6691,s2650,s3024,s1653,s3288,s3021]) ).

cnf(s8815,plain,
    ( spl0_195
    | ~ spl0_365
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5635,s1982,s6961,s681,s6691,s684,s3605,s3923,s6957,s8814,s8811,s2389,s3977,s2634,s131,s7358,s2898,s112,s171,s140,s7383,s4314,s269,s3500,s5168,s3673,s8813,s6455,s7380,s8812,s1786,s5988,s2233,s53,s2773,s4251,s4485,s6064,s15,s1679,s2944,s8805,s67,s2927,s51,s10,s6139,s7148,s41,s4134,s6398,s1,s280,s7314,s8687,s8034]) ).

cnf(s8816,plain,
    ( ~ spl0_195
    | spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3259,s6307,s2902,s3646,s7382,s8204,s2150,s7383,s687,s8428,s538,s5298,s2233,s2944,s8805,s4485,s6064,s15,s1679,s51,s10,s6139,s7148,s41,s4134,s6398,s1,s280,s7314,s8034,s8687]) ).

cnf(s8817,plain,
    ( spl0_23
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5518,s5221,s4239,s6747,s7380,s7382,s4866,s4124,s2104,s1982,s681,s684,s3923,s6957,s5707,s307,s8811,s513,s2389,s5248,s131,s7358,s2898,s2387,s171,s140,s7383,s5892,s4314,s269,s3500,s6955,s5168,s3673,s2335,s6769,s8771,s7378,s8815,s1786,s5988,s8816,s2927,s53,s51,s2773,s10,s4251,s6139,s4485,s7148,s67,s1679,s2233,s6064,s15,s280,s7314,s41,s4134,s6398,s1,s8687,s2944,s8805,s8034]) ).

cnf(s8818,plain,
    ( ~ spl0_200
    | ~ spl0_393
    | ~ spl0_201
    | ~ spl0_365
    | ~ spl0_41
    | ~ spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s6691,s2536,s1208,s2405,s3306,s681]) ).

cnf(s8819,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_345
    | ~ spl0_201
    | ~ spl0_365
    | spl0_223
    | ~ spl0_23
    | ~ spl0_41
    | ~ spl0_37
    | spl0_31
    | ~ spl0_32 ),
    inference(rat,[],[s8357,s3279,s7454,s5524,s8731,s8180]) ).

cnf(s8821,plain,
    ( spl0_94
    | spl0_395
    | ~ spl0_100
    | ~ spl0_538
    | spl0_327
    | ~ spl0_303
    | ~ spl0_638
    | ~ spl0_34
    | ~ spl0_6 ),
    inference(rat,[],[s6433,s2755,s171,s2396,s161,s4923,s4484,s142]) ).

cnf(s8822,plain,
    ( ~ spl0_110
    | ~ spl0_51
    | ~ spl0_487
    | ~ spl0_94
    | spl0_529
    | spl0_348
    | ~ spl0_370
    | ~ spl0_501
    | ~ spl0_301
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7443,s6397,s5691,s1994,s324,s257,s113,s3637,s5624,s131,s8234,s7214]) ).

cnf(s8823,plain,
    ( ~ spl0_315
    | ~ spl0_94
    | spl0_529
    | spl0_348
    | spl0_306
    | ~ spl0_368
    | ~ spl0_370
    | ~ spl0_201
    | ~ spl0_501
    | ~ spl0_301
    | ~ spl0_365
    | spl0_195
    | ~ spl0_23
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4658,s5369,s6037,s307,s272,s5691,s2544,s161,s1659,s171,s8822,s53,s5022,s1208,s4726,s2002,s6120,s2750,s280,s6461,s7314,s8687,s131,s8234,s7214]) ).

cnf(s8824,plain,
    ( ~ spl0_393
    | spl0_196
    | ~ spl0_513
    | ~ spl0_501
    | ~ spl0_301
    | ~ spl0_638
    | ~ spl0_365
    | spl0_195
    | ~ spl0_23
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1208,s8439,s6691,s8823,s8821,s3092,s7334,s8385,s131,s8234,s7214,s6218,s4267,s6232,s5902,s2081,s7381,s2611,s8819,s2104,s6956,s5242,s8394,s5016,s6964,s8818,s7382,s3088,s6659,s2233,s6064,s6398,s1,s15,s280,s6461,s7314,s8687,s5988,s8034,s5356,s2952,s1653,s3021,s8805,s5127,s5847]) ).

cnf(s8825,plain,
    ( ~ spl0_301
    | spl0_418
    | ~ spl0_365
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s8180,s6200,s2294,s4070,s1798,s8824,s5127,s7993,s5707,s6099,s3021,s6461,s8817,s7314,s7379,s8034,s6342,s6094,s1,s8687,s8805]) ).

cnf(s8826,plain,
    ( ~ spl0_393
    | ~ spl0_201
    | ~ spl0_302
    | spl0_387
    | spl0_418
    | ~ spl0_363
    | ~ spl0_365
    | spl0_195
    | ~ spl0_23
    | ~ spl0_421
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s6747,s5836,s5221,s6956,s5619,s7381,s7681,s6691,s8819,s1208,s5127,s2002,s8730,s6267,s5805,s2565,s6963,s8212,s2827,s8818,s6659,s2233,s280,s7314,s8687,s5988]) ).

cnf(s8827,plain,
    ( spl0_418
    | ~ spl0_363
    | ~ spl0_365
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s7789,s6962,s2721,s1208,s5127,s8731,s8180,s7381,s6238,s5226,s2294,s4070,s6235,s1798,s8826,s605,s2823,s6957,s8825,s6769,s6659,s280,s2944,s8805,s6461,s8817,s7314,s8687,s5988,s7379,s8034]) ).

cnf(s8828,plain,
    ( ~ spl0_393
    | spl0_196
    | ~ spl0_201
    | ~ spl0_301
    | spl0_47
    | ~ spl0_418
    | spl0_606
    | ~ spl0_365
    | ~ spl0_41
    | ~ spl0_37
    | spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6691,s1208,s2670,s5635,s2104,s6956,s8394,s5016,s8818]) ).

cnf(s8829,plain,
    ( ~ spl0_301
    | ~ spl0_418
    | spl0_606
    | ~ spl0_365
    | ~ spl0_193
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s8180,s6238,s2294,s4070,s1798,s8828,s5127,s605,s7993,s1653,s3021,s2233,s280,s6461,s8817,s7314,s8687,s5168,s2944,s8805,s8034]) ).

cnf(s8830,plain,
    ( ~ spl0_393
    | spl0_315
    | ~ spl0_201
    | spl0_47
    | ~ spl0_365
    | spl0_195
    | ~ spl0_41
    | ~ spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s5635,s6963,s6961,s8212,s6691,s8818]) ).

cnf(s8831,plain,
    ( ~ spl0_418
    | ~ spl0_365
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8493,s7381,s1724,s6238,s5226,s3500,s4070,s1798,s8830,s6962,s605,s3605,s2823,s6957,s8829,s5168,s3673,s2233,s280,s7314,s8687,s2944,s8805,s8817,s7379,s8034,s5356,s2952]) ).

cnf(s8832,plain,
    ( ~ spl0_365
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5226,s4070,s2718,s1798,s8763,s6855,s7380,s8827,s8831,s7314,s8687,s8817,s7379,s8034]) ).

cnf(s8833,plain,
    ( ~ spl0_301
    | ~ spl0_363
    | spl0_418
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8394,s681,s2104,s6468,s5222,s2536,s6956,s6724,s7681,s1208,s2002,s6149,s7993,s1653,s3021,s7314,s2233,s8687,s8805,s8817,s5988,s8034,s7378,s8832]) ).

cnf(s8834,plain,
    ( spl0_418
    | ~ spl0_393
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6747,s7382,s5226,s6365,s4686,s6956,s8394,s7681,s5975,s1208,s8470,s7225,s2002,s2104,s6149,s4866,s2823,s6957,s8833,s7380,s6855,s6769,s7314,s8687,s2944,s8805,s8817,s5988,s7379,s8034,s7378,s8832]) ).

cnf(s8835,plain,
    ( ~ spl0_301
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8566,s2104,s6956,s8394,s5016,s6964,s681,s6468,s2536,s6724,s1208,s2002,s5690,s6149,s7993,s1653,s3021,s15,s7314,s2233,s8687,s2944,s8805,s8817,s5988,s8034,s7378,s8832]) ).

cnf(s8836,plain,
    ( ~ spl0_200
    | ~ spl0_393
    | spl0_224
    | ~ spl0_366
    | spl0_195
    | ~ spl0_421
    | ~ spl0_33
    | ~ spl0_41
    | spl0_31
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s4686,s5226,s7147,s6747,s6139,s7382,s10,s5632,s51,s8470,s7225,s684,s3072,s3953,s681,s7379,s8034]) ).

cnf(s8837,plain,
    ( spl0_386
    | ~ spl0_393
    | ~ spl0_305
    | ~ spl0_239
    | ~ spl0_193
    | spl0_31 ),
    inference(rat,[],[s6550,s8357,s6238,s5226]) ).

cnf(s8838,plain,
    ( ~ spl0_99
    | ~ spl0_49
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(rat,[],[s1345,s513,s7358,s274,s2944]) ).

cnf(s8839,plain,
    ( ~ spl0_393
    | spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s4300,s5228,s6221,s7892,s2653,s6969,s2389,s2898,s160,s131,s8838,s458,s2680,s53,s7506,s2095,s6955,s7380,s8566,s4866,s2104,s8394,s5127,s4070,s4686,s8837,s6964,s8836,s3673,s8834,s15,s280,s7314,s41,s4134,s6398,s1,s8687,s7379,s3923,s605,s1208,s2002,s6149,s2823,s6957,s8835,s2944,s8805,s7378,s8832,s5988,s8034,s8817]) ).

cnf(s8840,plain,
    ( spl0_370
    | ~ spl0_367
    | spl0_392
    | spl0_192
    | ~ spl0_38
    | spl0_1
    | ~ spl0_32 ),
    inference(rat,[],[s2721,s5127,s2122,s8598,s3549,s5509,s2925,s15,s8034,s3158]) ).

cnf(s8841,plain,
    ( spl0_195
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3500,s6976,s5168,s8562,s8763,s6964,s7380,s681,s4866,s3072,s2104,s8840,s7381,s2718,s6238,s5226,s2294,s4070,s6235,s1798,s8839,s605,s3923,s2823,s6957,s8835,s7378,s8832,s7379,s5988,s6659,s2944,s8805,s6461,s8817,s7314,s8034,s8687]) ).

cnf(s8842,plain,
    ( spl0_418
    | ~ spl0_393
    | ~ spl0_365
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6120,s2002,s2122,s6961,s1653,s7525,s7681,s3041,s6955,s2611,s8452,s3646,s6307,s4017,s7235,s1724,s2880,s5843,s7380,s6855,s6398,s1,s7314,s2233,s8687,s2944,s8805,s8034,s8817,s538,s8841]) ).

cnf(s8843,plain,
    ( ~ spl0_301
    | ~ spl0_393
    | ~ spl0_365
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8828,s5690,s1653,s7993,s3021,s2233,s280,s7314,s8687,s8817,s5168,s8842,s2944,s8805,s8034]) ).

cnf(s8844,plain,
    ( ~ spl0_393
    | ~ spl0_365
    | ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8394,s5741,s5635,s6961,s6691,s8818,s3605,s2823,s6957,s8843,s5168,s3673,s8842,s2233,s280,s2944,s8805,s6461,s8817,s7314,s8034,s8687]) ).

cnf(s8845,plain,
    ( ~ spl0_223
    | ~ spl0_195
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s2678,s7380,s2880,s3016,s7235,s2944]) ).

cnf(s8846,plain,
    ( ~ spl0_421
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s2611,s5016,s8394,s5690,s7993,s6957,s2827,s2145,s3953,s2733,s5633,s7378,s7382,s8844,s6747,s8452,s7383,s3646,s1998,s6307,s1835,s8845,s538,s8841,s8817,s2233,s280,s7314,s8687,s2944,s8805,s8034]) ).

cnf(s8848,plain,
    ( ~ spl0_302
    | ~ spl0_393
    | ~ spl0_365
    | ~ spl0_306
    | ~ spl0_346
    | spl0_31
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_279 ),
    inference(rat,[],[s7454,s6691,s2645,s2535,s1996,s2218,s2823]) ).

cnf(s8849,plain,
    ( spl0_370
    | spl0_200
    | ~ spl0_301
    | ~ spl0_365
    | spl0_417
    | ~ spl0_371 ),
    inference(rat,[],[s7971,s10,s5023,s1982,s1688,s5626]) ).

cnf(s8850,plain,
    ( ~ spl0_393
    | ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3481,s3595,s5690,s5026,s5016,s6955,s2611,s8849,s8818,s7283,s6957,s8848,s6659,s2233,s2081,s2046,s280,s7314,s8687,s4485,s2520,s2140,s8846,s2944,s8805,s6064,s6398,s1,s8034,s15,s1679]) ).

cnf(s8851,plain,
    ( ~ spl0_301
    | spl0_392
    | spl0_192
    | ~ spl0_38
    | ~ spl0_193
    | spl0_386
    | ~ spl0_365
    | ~ spl0_569
    | spl0_417
    | ~ spl0_323
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s5004,s6955,s2721,s2611,s5127,s8840,s8180,s7381,s6200,s3021]) ).

cnf(s8852,plain,
    ( ~ spl0_365
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4195,s3587,s1208,s6032,s6962,s2645,s2535,s1996,s2218,s2823,s6957,s8851,s5226,s2294,s6235,s7379,s5988,s2373,s4070,s1798,s8850,s6659,s2081,s7006,s5168,s5641,s2149,s3453,s2046,s280,s6461,s4485,s2520,s2140,s8846,s2944,s8805,s6064,s6398,s1,s15,s1679,s7314,s8034,s8687]) ).

cnf(s8853,plain,
    ( spl0_370
    | spl0_196
    | spl0_206
    | ~ spl0_301
    | spl0_195
    | ~ spl0_366
    | ~ spl0_569
    | ~ spl0_47
    | spl0_417
    | spl0_1
    | ~ spl0_11 ),
    inference(rat,[],[s5004,s6955,s1212,s8467,s8394,s8470,s8034]) ).

cnf(s8854,plain,
    ( ~ spl0_301
    | spl0_195
    | ~ spl0_393
    | ~ spl0_366
    | ~ spl0_23
    | spl0_348
    | ~ spl0_47
    | spl0_417
    | ~ spl0_323
    | spl0_31
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s1212,s5004,s5016,s6955,s2611,s8853,s5690,s4686,s8837,s1208,s2002,s6149,s605,s2793,s3021,s7006,s5168,s2944,s5988,s7379,s8034]) ).

cnf(s8855,plain,
    ( spl0_370
    | spl0_196
    | spl0_561
    | spl0_195
    | ~ spl0_366
    | ~ spl0_323
    | spl0_1
    | ~ spl0_11 ),
    inference(rat,[],[s2335,s6956,s5975,s6391,s8394,s8470,s7225,s1,s2944,s8034]) ).

cnf(s8856,plain,
    ( spl0_195
    | ~ spl0_393
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5979,s6969,s171,s2640,s5296,s6136,s4215,s7316,s2803,s4258,s4263,s5281,s6181,s7382,s4124,s4068,s6543,s6976,s4972,s6432,s7506,s7380,s6955,s4866,s2611,s2104,s8855,s5127,s4070,s4686,s8837,s3716,s1208,s6962,s2645,s2535,s1996,s605,s2218,s2823,s6957,s8854,s7379,s6659,s2081,s2046,s6342,s5168,s5641,s6094,s131,s2634,s8234,s7350,s280,s7314,s2233,s8687,s5077,s4485,s2520,s2944,s8805,s6064,s6398,s1,s8034,s15,s1679,s2140,s8846,s7378,s8852]) ).

cnf(s8857,plain,
    ( ~ spl0_301
    | spl0_217
    | spl0_223
    | ~ spl0_393
    | ~ spl0_366
    | ~ spl0_23
    | spl0_348
    | spl0_417
    | ~ spl0_323
    | spl0_31
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s7243,s2611,s5016,s8394,s5690,s4686,s8837,s1208,s2002,s681,s6149,s605,s6468,s2793,s3021,s8034,s1835]) ).

cnf(s8858,plain,
    ( ~ spl0_393
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4122,s8394,s5999,s4686,s7381,s6976,s8837,s6682,s6432,s1208,s6962,s7380,s681,s2645,s2535,s2678,s2405,s1996,s605,s2218,s3580,s2823,s6957,s8857,s4299,s1835,s2444,s8845,s8856,s2081,s2046,s280,s7314,s4485,s2520,s6064,s6398,s15,s1679,s6342,s5168,s5641,s2140,s8846,s2944,s8034,s6094,s1,s8687,s8805,s7378,s8852]) ).

cnf(s8859,plain,
    ( ~ spl0_301
    | spl0_192
    | ~ spl0_38
    | ~ spl0_193
    | spl0_386
    | ~ spl0_377
    | ~ spl0_366
    | ~ spl0_569
    | spl0_417
    | ~ spl0_323
    | spl0_31
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s6592,s4274,s2611,s4224,s8840,s1208,s7381,s6240,s6200,s1997,s3021,s5226]) ).

cnf(s8860,plain,
    ( spl0_195
    | spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s3051,s2611,s3549,s8840,s3158,s7381,s6962,s6238,s2535,s605,s2218,s2823,s6957,s8859,s5226,s2294,s6235,s7379,s5988,s6659,s2081,s7006,s5168,s5641,s6461,s7314,s8687,s7378,s8852,s4070,s1798,s8858,s4485,s2520,s2140,s8846,s2944,s8805,s6064,s6398,s1,s8034,s15,s1679]) ).

cnf(s8861,plain,
    ( spl0_1
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1835,s1998,s8845,s8860,s1798,s8858,s8805,s280,s7314,s8034,s8687]) ).

cnf(s8862,plain,
    ( spl0_323
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_393
    | spl0_31
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5316,s5612,s2718,s1831,s5207,s5850,s7382,s4238,s6960,s6258,s2045,s4752,s8614,s22,s7380,s24,s5805,s2079,s5736,s2151,s6659,s8687,s3003,s280,s2202]) ).

cnf(s8863,plain,
    ( ~ spl0_301
    | spl0_195
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5707,s6099,s3967,s5168,s7337,s67,s8830,s2081,s24,s5127,s6120,s2611,s5642,s3199,s1872,s6956,s6963,s5016,s8212,s8818,s1653,s3021,s2233,s280,s5356,s2952,s2944,s8862,s7379,s5988,s7314,s8687,s8861]) ).

cnf(s8864,plain,
    ( spl0_195
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5168,s6769,s8830,s2565,s6120,s6267,s1872,s6963,s8212,s7337,s8818,s8848,s2823,s6957,s8863,s2944,s8862,s7379,s5988,s1679,s8861,s2233,s280,s7314,s8687]) ).

cnf(s8865,plain,
    ( ~ spl0_303
    | ~ spl0_348
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3646,s6307,s8452,s3017,s8803,s2067,s3003,s8861,s2233,s8687,s538,s8864]) ).

cnf(s8866,plain,
    ( spl0_370
    | spl0_323
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5641,s8167,s2140,s6962,s7774,s2721,s5127,s7663,s8287,s6964,s8818,s8668,s1653,s7225,s1688,s3003,s2233,s280,s7314,s8687,s2151,s5736,s8861]) ).

cnf(s8867,plain,
    ( ~ spl0_302
    | spl0_319
    | spl0_192
    | spl0_323
    | ~ spl0_365 ),
    inference(rat,[],[s3584,s6919,s5127,s1653,s5120,s6201]) ).

cnf(s8868,plain,
    ( spl0_323
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3017,s2087,s1653,s7380,s6120,s5409,s5004,s6101,s6957,s8867,s1872,s8866,s6955,s8865,s7006,s1910,s2079,s5736,s2151,s8861,s7314,s8687,s8864]) ).

cnf(s8869,plain,
    ( spl0_370
    | spl0_392
    | spl0_223
    | ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s2721,s8287,s8619,s2693,s1831,s2122,s5370,s3587,s10,s7663,s1982,s8818,s1653,s7225,s1688,s2233,s280,s7314,s8687,s1835]) ).

cnf(s8870,plain,
    ( ~ spl0_365
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7454,s6691,s3296,s6120,s5127,s1653,s7506,s3041,s6955,s2611,s1872,s8869,s4860,s8452,s3646,s6307,s8845,s2944,s8868,s538,s8864,s8861,s7314,s2233,s8687]) ).

cnf(s8871,plain,
    ( ~ spl0_315
    | ~ spl0_301
    | spl0_49
    | ~ spl0_319
    | ~ spl0_201
    | spl0_370
    | ~ spl0_37
    | spl0_31
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s3271,s5016,s5609,s5690,s5127,s2721,s458,s6393,s5023,s10,s5626,s1982,s681,s2405,s2536,s6659,s8687,s1688]) ).

cnf(s8872,plain,
    ( spl0_386
    | ~ spl0_429
    | spl0_206
    | ~ spl0_193
    | ~ spl0_393
    | spl0_31 ),
    inference(rat,[],[s6550,s6682,s6200,s5226]) ).

cnf(s8873,plain,
    ( ~ spl0_301
    | spl0_49
    | spl0_206
    | spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_37
    | spl0_31
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8494,s2747,s2669,s7380,s1870,s3271,s8633,s4726,s6956,s7381,s8460,s5510,s10,s5127,s1724,s1832,s4686,s1831,s8872,s6962,s8871,s8862,s6149,s1653]) ).

cnf(s8874,plain,
    ( ~ spl0_315
    | ~ spl0_302
    | spl0_49
    | spl0_206
    | spl0_370
    | ~ spl0_346
    | ~ spl0_323
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_37
    | spl0_31
    | spl0_466
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s2721,s7506,s458,s6955,s6393,s5050,s6365,s10,s7380,s7382,s1982,s6855,s6747,s681,s3673,s7337,s3342,s2405,s3605,s6062,s6113,s2536,s6659,s8687,s1653,s1997]) ).

cnf(s8875,plain,
    ( spl0_360
    | ~ spl0_364
    | ~ spl0_388
    | ~ spl0_323 ),
    inference(rat,[],[s2747,s8494,s2669]) ).

cnf(s8876,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s6861,s4752,s8875,s7380,s1870,s8633,s4726,s458,s7381,s6393,s5510,s10,s1724,s1832,s1831,s8872,s6962,s8874,s6957,s8873,s1683,s6149,s1653,s7225,s6659,s3003,s2233,s7378,s8870,s2944,s8862,s7379,s5988,s7314,s8687,s8861]) ).

cnf(s8877,plain,
    ( spl0_195
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s3021,s2823,s1653,s6149,s1872,s8876,s2944,s8862,s7379,s5988,s8861,s7314,s8687,s7378,s8870]) ).

cnf(s8878,plain,
    ( ~ spl0_301
    | ~ spl0_304
    | spl0_370
    | ~ spl0_569
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1683,s8871,s6120,s5004,s7314,s2233,s8687,s1653,s7225]) ).

cnf(s8879,plain,
    ( spl0_370
    | spl0_323
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6114,s8804,s4752,s8614,s7380,s4866,s6957,s8878,s6955,s2067,s7225,s6659,s7378,s8870,s8777,s7006,s2079,s2151,s7314,s8687,s22,s24,s5736,s8861]) ).

cnf(s8880,plain,
    ( ~ spl0_201
    | spl0_319
    | ~ spl0_569
    | spl0_323
    | spl0_31
    | spl0_466 ),
    inference(rat,[],[s5004,s6955,s6957,s6308,s6120,s6201,s605,s2151]) ).

cnf(s8881,plain,
    ( spl0_323
    | ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6333,s3646,s3590,s1737,s4433,s7227,s7381,s5127,s6257,s7366,s7353,s8880,s1872,s8879,s1870,s7006,s1910,s2079,s5736,s2151,s3003,s8861,s7314,s2233,s8687,s7378,s8870,s538,s8877]) ).

cnf(s8882,plain,
    ( ~ spl0_301
    | spl0_49
    | spl0_200
    | ~ spl0_319
    | spl0_206
    | spl0_370
    | spl0_360
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_37
    | spl0_31
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s4686,s5127,s8872,s5609,s6962,s5023,s8871,s5626,s1688,s1653]) ).

cnf(s8883,plain,
    ( spl0_370
    | spl0_223
    | ~ spl0_323
    | ~ spl0_195
    | ~ spl0_366
    | ~ spl0_393
    | ~ spl0_4
    | spl0_466
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4726,s1870,s7381,s8875,s6682,s7380,s6962,s2678,s8874,s3580,s6957,s8882,s1683,s681,s6149,s6468,s1653,s7225,s7314,s4299,s1835,s4860,s8452,s3646,s6307,s538,s2233,s8687,s2944]) ).

cnf(s8884,plain,
    ( ~ spl0_393
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3041,s1653,s6955,s6149,s2611,s1872,s8883,s8452,s3646,s6307,s8845,s8881,s538,s8877,s7378,s8870,s3003,s8861,s2233,s8687]) ).

cnf(s8885,plain,
    ( spl0_195
    | ~ spl0_319
    | ~ spl0_9
    | ~ spl0_201
    | ~ spl0_313
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_41
    | ~ spl0_24 ),
    inference(rat,[],[s7804,s1212,s3866,s5127,s1208,s3500,s2219,s3306,s8224,s8212,s67,s24]) ).

cnf(s8886,plain,
    ( spl0_323
    | spl0_370
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6444,s2718,s6865,s2444,s7382,s7315,s1835,s5633,s1998,s3865,s8885,s8880,s7006,s2079,s5736,s2151,s3003,s8861,s280,s7314,s8687,s4183,s1798,s8884,s1688,s1653,s7225]) ).

cnf(s8887,plain,
    ( spl0_195
    | spl0_370
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s6962,s7789,s1212,s5226,s1208,s3500,s1831,s3306,s8224,s8212,s7379,s280,s7314,s8687,s1688,s1653,s7225]) ).

cnf(s8888,plain,
    ( spl0_370
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1835,s8845,s1998,s8887,s8886,s8861,s280,s7314,s8687,s1798,s8884]) ).

cnf(s8889,plain,
    ( spl0_323
    | spl0_223
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5316,s5612,s2718,s6258,s3539,s3011,s2826,s3584,s6957,s6919,s5127,s7601,s7366,s1653,s5409,s8880,s7380,s7006,s5805,s2079,s5736,s2151,s6659,s3003,s1872,s8888,s8861,s1727,s7314,s8687,s1798,s8884]) ).

cnf(s8890,plain,
    ( ~ spl0_309
    | spl0_315
    | ~ spl0_201
    | spl0_401
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_41
    | ~ spl0_32 ),
    inference(rat,[],[s6550,s3579,s5708,s3306]) ).

cnf(s8891,plain,
    ( ~ spl0_201
    | ~ spl0_38
    | spl0_401
    | spl0_195
    | ~ spl0_370
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_41
    | spl0_31
    | ~ spl0_1
    | ~ spl0_32 ),
    inference(rat,[],[s2219,s5127,s2509,s7788,s5242,s7789,s1208,s8890,s6962,s6120,s2681,s1872]) ).

cnf(s8892,plain,
    ( spl0_195
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s3021,s2823,s1653,s8891,s2944,s8889,s1727,s2202,s5988,s6659,s8861,s280,s7314,s8687,s1798,s8884,s8888]) ).

cnf(s8893,plain,
    ( ~ spl0_365
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s2692,s6201,s8845,s3158,s7382,s3314,s1835,s7381,s5633,s1998,s6260,s3865,s8892,s1872,s8888,s8861,s280,s7314,s8687,s4183,s1798,s8884]) ).

cnf(s8894,plain,
    ( ~ spl0_348
    | spl0_370
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6114,s8804,s4752,s6957,s2193,s8878,s6955,s4819,s7006,s6308,s2079,s6659,s17,s3003,s8861,s1688,s605,s1653,s1208,s6240,s1997,s7225,s7314,s8687,s1798,s8884,s7378,s8893]) ).

cnf(s8895,plain,
    ( ~ spl0_301
    | spl0_370
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8476,s5626,s6956,s5023,s8878,s6400,s7006,s5168,s5641,s2140,s6962,s6724,s8871,s2233,s1688,s1683,s6149,s1653,s5988,s8861,s1208,s6240,s1997,s7225,s7314,s8687,s1798,s8884,s7378,s8893,s7365,s8894]) ).

cnf(s8896,plain,
    ( ~ spl0_315
    | ~ spl0_326
    | ~ spl0_302
    | spl0_320
    | spl0_206
    | ~ spl0_193
    | spl0_223
    | spl0_195
    | ~ spl0_366
    | ~ spl0_377
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s67,s5288,s24,s3539,s2693,s6976,s8017,s5295,s4237,s7382,s2669,s6365,s3271,s7380,s6956,s8763,s6444,s7681,s2718,s7337,s3342,s4081,s6062,s6113,s6149,s1653,s1208,s6240]) ).

cnf(s8897,plain,
    ( ~ spl0_196
    | spl0_454
    | spl0_206
    | ~ spl0_193
    | ~ spl0_366 ),
    inference(rat,[],[s3158,s7381,s4199,s6200,s3481,s4686,s1653]) ).

cnf(s8898,plain,
    ( spl0_192
    | spl0_454
    | spl0_360
    | ~ spl0_303
    | spl0_484
    | ~ spl0_323 ),
    inference(rat,[],[s2675,s7380,s7381,s8875,s3158,s1870]) ).

cnf(s8899,plain,
    ( ~ spl0_192
    | ~ spl0_14
    | ~ spl0_319
    | spl0_370
    | ~ spl0_377
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s3832,s1724,s7381,s3539,s4726]) ).

cnf(s8900,plain,
    ( ~ spl0_303
    | ~ spl0_429
    | spl0_484
    | ~ spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_366
    | ~ spl0_377
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3832,s1724,s7381,s1831,s2675,s5226,s7380,s3549,s8875,s8898,s1870,s8899,s10,s1982,s3271,s8476,s7314,s7379,s2925,s6659,s8687,s6149,s1653,s7225,s5988]) ).

cnf(s8901,plain,
    ( spl0_418
    | ~ spl0_304
    | ~ spl0_429
    | ~ spl0_305
    | spl0_482
    | ~ spl0_313
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4752,s6114,s2193,s5613,s4819,s6659,s17,s8687]) ).

cnf(s8902,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3549,s5226,s8897,s4686,s5127,s7506,s2680,s8901,s6955,s8900,s6962,s8896,s2563,s3580,s6957,s8895,s2151,s8894,s1208,s6240,s1997,s2925,s7225,s1688,s6659,s8861,s7378,s8893,s7379,s1727,s5988,s7314,s8687,s1798,s8884]) ).

cnf(s8903,plain,
    ( spl0_47
    | ~ spl0_348
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s8498,s8437,s3011,s6283,s2718,s6956,s8763,s7681,s1208,s1724,s7337,s5635,s3500,s3508,s1727,s1798,s8884,s2104,s7353,s6149,s5127,s4865,s1872,s8902,s7378,s8893,s2079,s7314,s8687,s7380,s5805,s3003,s8861,s5988]) ).

cnf(s8904,plain,
    ( ~ spl0_348
    | spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5207,s2718,s2140,s5316,s7525,s5612,s7382,s6955,s8486,s4238,s8803,s7726,s6960,s3920,s2826,s2823,s6957,s7601,s6400,s6962,s1212,s8903,s7380,s5805,s2079,s6659,s3003,s4183,s1798,s8884,s2202,s7314,s8687,s2104,s4865,s1653,s7353,s6149,s1872,s8902,s8861,s7378,s8893,s5988]) ).

cnf(s8905,plain,
    ( spl0_195
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2823,s7283,s7365,s8904,s6149,s1872,s8902,s5988,s8861,s7378,s8893]) ).

cnf(s8906,plain,
    ( ~ spl0_4
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6444,s2079,s2718,s6865,s2309,s2444,s7382,s7315,s1835,s5633,s1998,s3865,s8905,s4183,s1798,s8884,s280,s7314,s8687,s8861]) ).

cnf(s8907,plain,
    ( spl0_223
    | ~ spl0_383
    | ~ spl0_200
    | ~ spl0_365
    | ~ spl0_17
    | ~ spl0_1 ),
    inference(rat,[],[s6200,s7381,s6919,s8180,s3584,s5127,s2219,s4023,s2693,s1835,s1831]) ).

cnf(s8908,plain,
    ( spl0_323
    | ~ spl0_313
    | ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2525,s8818,s7312,s7383,s4183,s7700,s8486,s7380,s6960,s3806,s6306,s6173,s2151,s1679,s3003,s3984,s37,s1831,s1653,s3017,s8907,s8224,s8212,s5950,s8906,s8861]) ).

cnf(s8909,plain,
    ( ~ spl0_313
    | ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s3500,s8818,s4146,s280,s2524,s6810,s8908,s1653,s3017,s8907,s8224,s8212,s37,s5950,s8906,s8861]) ).

cnf(s8910,plain,
    ( spl0_323
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6182,s1212,s4146,s5635,s2509,s5581,s5242,s6109,s6919,s5127,s1653,s5120,s6201,s6957,s5894,s6101,s5409,s6955,s67,s7380,s2611,s24,s6080,s5805,s6306,s6173,s5736,s2151,s6659,s8687,s3003,s37,s5950,s8906,s1872,s6963,s8909,s8861]) ).

cnf(s8911,plain,
    ( ~ spl0_306
    | ~ spl0_345
    | ~ spl0_323
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s7506,s2611,s4752,s2081]) ).

cnf(s8912,plain,
    ( ~ spl0_201
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s8830,s8891,s6270,s6120,s2202,s4146,s280,s2524,s5176,s8911,s5127,s4766,s6659,s8687,s37,s5950,s8906,s1872,s6963,s8909,s8861,s8910]) ).

cnf(s8913,plain,
    ( spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2721,s7789,s6919,s5242,s6964,s3920,s1208,s2611,s5635,s6270,s6956,s6957,s4146,s2524,s3041,s3021,s6791,s1653,s8912,s8910,s37,s8906,s6963,s8909]) ).

cnf(s8914,plain,
    ( spl0_323
    | ~ spl0_201
    | spl0_319
    | spl0_4
    | spl0_466 ),
    inference(rat,[],[s7764,s6955,s6960,s6957,s6308,s6306,s6201,s2151,s605,s6402]) ).

cnf(s8915,plain,
    ( ~ spl0_365
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7454,s7822,s5635,s6120,s4146,s6810,s8914,s3866,s67,s5127,s24,s4766,s5642,s1653,s3017,s8913,s1872,s6963,s8909,s3003,s37,s5950,s8906,s8861]) ).

cnf(s8916,plain,
    ( spl0_323
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7443,s6872,s8636,s4936,s131,s6794,s1653,s6149,s4726,s1870,s8494,s6202,s6936,s4146,s5641,s8614,s7383,s5837,s5581,s6109,s6957,s5894,s6101,s6955,s8382,s6232,s7381,s5510,s5609,s10,s5127,s1724,s4209,s1832,s4686,s1831,s7382,s5506,s7700,s4238,s22,s67,s7380,s6960,s24,s6080,s5805,s6306,s5225,s5736,s2151,s6659,s8687,s3003,s3984,s37,s5950,s8906,s8861,s2952,s7378,s8915,s1835]) ).

cnf(s8917,plain,
    ( ~ spl0_31
    | ~ spl0_319
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8875,s1870,s7380,s4726,s8633,s7381,s5510,s10,s1786,s1724,s8628,s5168,s4752,s5641,s2935,s5176,s6791,s8861,s3984,s8906,s7378,s8915,s8916]) ).

cnf(s8918,plain,
    ( ~ spl0_301
    | spl0_607
    | spl0_200
    | ~ spl0_313 ),
    inference(rat,[],[s5626,s5023]) ).

cnf(s8919,plain,
    ( ~ spl0_393
    | ~ spl0_302
    | ~ spl0_443
    | spl0_392
    | ~ spl0_303
    | ~ spl0_421
    | ~ spl0_366
    | spl0_195 ),
    inference(rat,[],[s5630,s6333,s3154,s7381,s6228,s7382,s6747,s2952]) ).

cnf(s8920,plain,
    ( ~ spl0_315
    | ~ spl0_303
    | spl0_206
    | ~ spl0_421
    | ~ spl0_38
    | spl0_47
    | ~ spl0_37
    | ~ spl0_319
    | ~ spl0_323
    | ~ spl0_193
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s8646,s7380,s7381,s5974,s8875,s8498,s1870,s1724,s8899,s3500,s1798,s8919,s6957,s8918,s10,s1982,s6964,s5609,s681,s5127,s3342,s6468,s2721,s6113,s2536,s1688,s3271]) ).

cnf(s8921,plain,
    ( ~ spl0_301
    | spl0_315
    | spl0_360
    | spl0_206
    | ~ spl0_421
    | ~ spl0_41
    | spl0_31
    | ~ spl0_201
    | ~ spl0_193
    | ~ spl0_313
    | ~ spl0_366 ),
    inference(rat,[],[s4686,s5127,s8872,s5609,s7383,s8918,s6240,s3306,s6961,s6724,s1996,s6962]) ).

cnf(s8922,plain,
    ( spl0_383
    | spl0_360
    | spl0_206
    | ~ spl0_319
    | ~ spl0_323
    | spl0_223
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_1
    | ~ spl0_371 ),
    inference(rat,[],[s8875,s1870,s7380,s4726,s8633,s7381,s5510,s10,s1786,s1724]) ).

cnf(s8923,plain,
    ( ~ spl0_303
    | spl0_206
    | ~ spl0_38
    | spl0_47
    | spl0_31
    | ~ spl0_319
    | ~ spl0_323
    | spl0_223
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s8872,s3500,s1831,s8922,s6962,s8920,s3271,s1835,s2524,s7337,s3508]) ).

cnf(s8924,plain,
    ( ~ spl0_315
    | ~ spl0_304
    | spl0_206
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_323
    | ~ spl0_193
    | ~ spl0_366
    | spl0_466 ),
    inference(rat,[],[s6552,s8763,s5050,s2680,s7506,s2718,s5127,s3342,s2721,s6113]) ).

cnf(s8925,plain,
    ( spl0_206
    | ~ spl0_38
    | spl0_47
    | spl0_31
    | ~ spl0_319
    | ~ spl0_323
    | spl0_223
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_1
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s8872,s3500,s1831,s8922,s2680,s7525,s6962,s8924,s6955,s8923,s3003,s1835,s7337,s3508]) ).

cnf(s8926,plain,
    ( ~ spl0_315
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_38
    | spl0_47
    | ~ spl0_37
    | ~ spl0_319
    | ~ spl0_201
    | ~ spl0_323
    | ~ spl0_193
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s8646,s7380,s7381,s5974,s8875,s8498,s1870,s1724,s8899,s3500,s1798,s10,s8919,s1982,s6964,s681,s5127,s3342,s2405,s2721,s2750,s2536,s3271]) ).

cnf(s8927,plain,
    ( ~ spl0_368
    | spl0_484
    | ~ spl0_303
    | ~ spl0_319
    | ~ spl0_323 ),
    inference(rat,[],[s8875,s7380,s1870,s2675,s4726,s3271]) ).

cnf(s8928,plain,
    ( ~ spl0_201
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6682,s7383,s5226,s3500,s1831,s7391,s4360,s4257,s7381,s8927,s6962,s8926,s3580,s6956,s6957,s3041,s3021,s8925,s7337,s3508,s6270,s4146,s2524,s8917,s6149,s8861,s37,s8906,s2952,s7378,s8915,s1688,s1835,s8916]) ).

cnf(s8929,plain,
    ( ~ spl0_319
    | ~ spl0_421
    | ~ spl0_303
    | ~ spl0_302
    | spl0_47
    | spl0_31
    | ~ spl0_323
    | ~ spl0_193
    | ~ spl0_313
    | ~ spl0_366
    | spl0_195
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s6365,s7380,s7382,s8875,s6747,s7383,s1870,s5226,s3500,s4023,s1831,s6976,s4360,s4257,s7381,s8927,s3271,s2952,s3580]) ).

cnf(s8930,plain,
    ( ~ spl0_383
    | ~ spl0_393
    | spl0_360
    | ~ spl0_421
    | ~ spl0_303
    | ~ spl0_302
    | spl0_31
    | ~ spl0_323
    | ~ spl0_193
    | ~ spl0_366
    | ~ spl0_17
    | ~ spl0_1 ),
    inference(rat,[],[s6365,s7380,s7382,s8875,s6747,s1870,s5226,s4023,s1831]) ).

cnf(s8933,plain,
    ( ~ spl0_393
    | spl0_360
    | ~ spl0_421
    | ~ spl0_38
    | ~ spl0_303
    | ~ spl0_302
    | spl0_31
    | ~ spl0_323
    | ~ spl0_193
    | spl0_370
    | ~ spl0_366
    | spl0_195
    | ~ spl0_17
    | ~ spl0_1 ),
    inference(rat,[],[s3011,s1870,s6747,s8875,s7382,s7380,s6228,s2675,s7381,s3832,s10,s1786,s1724,s8930,s3580]) ).

cnf(s8934,plain,
    ( spl0_94
    | ~ spl0_100
    | ~ spl0_192
    | ~ spl0_362
    | ~ spl0_364
    | spl0_31
    | spl0_195
    | spl0_4
    | ~ spl0_32 ),
    inference(rat,[],[s55,s7294,s138,s5565,s5953,s3273,s4263,s4920,s142]) ).

cnf(s8935,plain,
    ( ~ spl0_100
    | ~ spl0_192
    | ~ spl0_362
    | ~ spl0_364
    | spl0_31
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7494,s4121,s171,s5565,s4850,s4314,s158,s8934,s4452,s6659,s8687,s8861,s5324,s3011,s6270,s2524,s7337,s3508,s4146,s37,s8906]) ).

cnf(s8936,plain,
    ( spl0_100
    | spl0_201
    | ~ spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s4142,s3617,s7358,s7357,s7352,s131,s6957,s3021,s6956,s3041,s1653]) ).

cnf(s8937,plain,
    ( spl0_360
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1870,s8935,s8875,s7382,s7380,s6228,s2675,s7381,s3832,s10,s1786,s1724,s3500,s1798,s8933,s5950,s8861,s1835,s6956,s3041,s6270,s2524,s3580,s6957,s3021,s7378,s8915,s7337,s3508,s4146,s6791,s1653,s37,s8906,s8936,s8928,s8916]) ).

cnf(s8938,plain,
    ( spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7391,s8562,s8813,s7381,s6964,s6455,s8523,s2295,s7380,s6960,s2828,s5050,s4863,s2680,s8937,s7337,s67,s3508,s6270,s6956,s6957,s6461,s4146,s2524,s3041,s3021,s6791,s1653,s8928,s8916,s1835,s3003,s3820,s37,s8906,s8861,s7378,s8915]) ).

cnf(s8939,plain,
    ( ~ spl0_31
    | ~ spl0_206
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4360,s4257,s1724,s7381,s8486,s5708,s4351,s4183,s4326,s6182,s6205,s2952,s7378,s8915,s1688,s8938,s6173,s37,s6960,s6306,s2151,s8906,s3003,s8861]) ).

cnf(s8940,plain,
    ( ~ spl0_301
    | spl0_306
    | ~ spl0_38
    | spl0_418
    | ~ spl0_206
    | ~ spl0_28
    | ~ spl0_63
    | spl0_360
    | ~ spl0_9
    | ~ spl0_313 ),
    inference(rat,[],[s6400,s8918,s6962,s2219,s2721,s5127,s4123,s1204]) ).

cnf(s8941,plain,
    ( ~ spl0_303
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7391,s4023,s4360,s6774,s4257,s7227,s7381,s8523,s6957,s8940,s3508,s6270,s2079,s4146,s2524,s8939,s605,s6308,s2067,s37,s2952,s7378,s8915,s1688,s8938,s6080,s5950,s6960,s6306,s2151,s8906,s3003,s67,s22,s24,s5736,s8861]) ).

cnf(s8942,plain,
    ( ~ spl0_31
    | spl0_206
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3510,s307,s142,s5373,s3499,s4850,s7351,s6969,s8079,s4247,s6957,s4235,s5026,s6221,s2219,s7380,s4351,s5127,s3904,s5207,s5752,s5020,s5528,s1208,s5051,s6240,s7382,s4750,s8724,s7381,s8899,s4360,s10,s1724,s8465,s8486,s4936,s131,s4183,s342,s6936,s7750,s5949,s6205,s6659,s8687,s2952,s7378,s8915,s8938,s6173,s37,s6960,s67,s22,s24,s5736,s5901,s6306,s1688,s6114,s6955,s8941,s6080,s2151,s5950,s8914,s1653,s8906,s3003,s8861]) ).

cnf(s8943,plain,
    ( spl0_206
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8614,s7383,s7380,s6240,s4866,s6961,s6957,s7681,s5203,s7337,s6510,s7006,s3508,s2079,s1996,s4146,s8942,s5144,s1653,s6659,s8687,s37,s7378,s8915,s6960,s6306,s2151,s8906,s3003,s22,s24,s5736,s8861,s6955,s8941]) ).

cnf(s8944,plain,
    ( ~ spl0_363
    | spl0_401
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_421
    | ~ spl0_38
    | spl0_360
    | spl0_323
    | ~ spl0_223
    | ~ spl0_366
    | spl0_466
    | ~ spl0_11 ),
    inference(rat,[],[s3011,s6747,s8724,s7382,s7383,s2105,s5708,s7227,s1308,s5144,s4027,s4866,s2151]) ).

cnf(s8945,plain,
    ( spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s5708,s4231,s1798,s6198,s8614,s7380,s8944,s4351,s2122,s6961,s6957,s7525,s7681,s8940,s7337,s3508,s6270,s2079,s4146,s2524,s8939,s4643,s8943,s6955,s8941,s22,s67,s24,s6080,s5736,s2151,s3003,s37,s5950,s8906,s8861,s7378,s8915,s1688,s8938]) ).

cnf(s8946,plain,
    ( ~ spl0_383
    | spl0_360
    | ~ spl0_301
    | spl0_387
    | ~ spl0_38
    | ~ spl0_363
    | spl0_47
    | ~ spl0_313
    | ~ spl0_366
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2721,s5127,s2122,s5609,s7990,s8918,s7383,s5975,s3500,s2880,s3508]) ).

cnf(s8947,plain,
    ( spl0_360
    | ~ spl0_303
    | ~ spl0_301
    | spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6269,s8920,s8921,s1308,s2309,s7382,s2105,s7381,s3832,s10,s1786,s1724,s8946,s1688,s280,s6270,s2524,s7337,s3508,s4146,s6810,s1653,s4144,s37,s8906,s2067,s8861,s5222,s7378,s8915,s7380,s3016,s8945,s8938]) ).

cnf(s8948,plain,
    ( ~ spl0_303
    | ~ spl0_301
    | spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6400,s6962,s8918,s6120,s6402,s3271,s2680,s8947,s1688,s6270,s2524,s6810,s8945,s8938,s8906,s1653]) ).

cnf(s8949,plain,
    ( ~ spl0_301
    | spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s2721,s3967,s2122,s5707,s5014,s5892,s6955,s8948,s6270,s2524,s67,s6461,s3820,s8861,s7337,s3508,s4146,s6810,s8945,s8938,s37,s8906]) ).

cnf(s8950,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_201
    | ~ spl0_421
    | ~ spl0_363
    | spl0_47
    | spl0_31
    | ~ spl0_323
    | ~ spl0_313
    | ~ spl0_366
    | spl0_195
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6269,s8929,s1308,s2309,s7382,s6365,s2103,s4866]) ).

cnf(s8951,plain,
    ( ~ spl0_367
    | ~ spl0_443
    | ~ spl0_479
    | ~ spl0_363
    | ~ spl0_223
    | spl0_195
    | ~ spl0_1 ),
    inference(rat,[],[s3158,s2275,s6976,s3561,s5700,s8562,s3551,s2952]) ).

cnf(s8952,plain,
    ( spl0_360
    | ~ spl0_304
    | ~ spl0_327
    | ~ spl0_201
    | ~ spl0_363
    | ~ spl0_323
    | ~ spl0_223
    | ~ spl0_366
    | spl0_195
    | ~ spl0_10
    | ~ spl0_1 ),
    inference(rat,[],[s8724,s7382,s5142,s2105,s7381,s8951,s6964,s4437,s3481,s5127,s6114,s7506]) ).

cnf(s8953,plain,
    ( spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s3158,s2105,s3561,s6964,s7382,s3436,s2295,s2309,s6960,s4868,s2828,s5050,s4863,s8952,s6955,s8950,s2103,s4866,s3580,s6957,s8949,s1653,s3003,s5950,s8861,s7378,s8915,s1688,s7380,s3016,s7337,s3508,s4146,s6810,s8945,s8938,s37,s8906]) ).

cnf(s8954,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7391,s4023,s4360,s6774,s4257,s7227,s7381,s8950,s2675,s3580,s6956,s6957,s3041,s3021,s8953,s7337,s3508,s7380,s4146,s3016,s6810,s8945,s8938,s1688,s37,s5950,s8906,s8861,s2952,s7378,s8915]) ).

cnf(s8955,plain,
    ( ~ spl0_31
    | spl0_323
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8636,s7382,s2096,s4238,s6205,s7380,s5708,s6969,s4866,s7381,s6872,s6957,s8562,s5127,s7764,s6964,s1724,s3296,s4936,s131,s1212,s4351,s6932,s4122,s4326,s6794,s6182,s342,s6936,s6949,s7378,s8915,s2104,s6080,s5950,s1653,s8914,s1872,s6960,s6306,s2151,s3003,s22,s24,s5736,s8861,s6955,s2611,s6173,s37,s8906,s8954]) ).

cnf(s8956,plain,
    ( spl0_323
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s1208,s7337,s5635,s3508,s2079,s4146,s8955,s6955,s2611,s6173,s2151,s8861,s37,s8906,s8954]) ).

cnf(s8957,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | spl0_319
    | ~ spl0_366
    | ~ spl0_11 ),
    inference(rat,[],[s1653,s6149,s6791,s6810]) ).

cnf(s8958,plain,
    ( ~ spl0_201
    | ~ spl0_305
    | ~ spl0_421
    | ~ spl0_323
    | spl0_327
    | spl0_319
    | ~ spl0_366
    | ~ spl0_11 ),
    inference(rat,[],[s4866,s6957,s7380,s6724,s3016,s6120,s6149,s8957]) ).

cnf(s8959,plain,
    ( ~ spl0_192
    | spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s6228,s8562,s7382,s1724,s8935,s4023,s5950,s8936,s1835,s7856,s7380,s4866,s6964,s3920,s2611,s6956,s3041,s6957,s3021,s1653,s8958,s1208,s5635,s7337,s3508,s4146,s8957,s37,s8906,s2104,s1872,s8954,s8861,s7378,s8915,s8956]) ).

cnf(s8960,plain,
    ( spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8523,s6960,s7381,s4863,s5522,s8875,s3501,s1870,s8959,s5127,s7380,s4865,s4866,s7856,s6956,s6957,s3041,s3021,s1653,s8958,s5581,s1208,s7337,s67,s5635,s3508,s6461,s4146,s8957,s8956,s2104,s1872,s8954,s7378,s8915,s6659,s8687,s3003,s3820,s37,s8906,s8861]) ).

cnf(s8961,plain,
    ( ~ spl0_383
    | ~ spl0_58
    | ~ spl0_31
    | spl0_346
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2444,s5949,s6923,s8628,s8861,s3984,s37,s8906,s8960]) ).

cnf(s8962,plain,
    ( ~ spl0_365
    | spl0_383
    | ~ spl0_31
    | spl0_370
    | spl0_346
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s10,s8268,s5370,s8273,s1688]) ).

cnf(s8964,plain,
    ( ~ spl0_420
    | ~ spl0_418
    | ~ spl0_145
    | ~ spl0_309
    | ~ spl0_524
    | ~ spl0_31
    | ~ spl0_348
    | spl0_466
    | ~ spl0_11 ),
    inference(rat,[],[s5629,s5249,s6244,s4897,s4936]) ).

cnf(s8965,plain,
    ( spl0_420
    | ~ spl0_145
    | ~ spl0_362
    | ~ spl0_368
    | ~ spl0_302
    | ~ spl0_345
    | ~ spl0_364
    | ~ spl0_423
    | ~ spl0_304
    | spl0_122
    | spl0_360
    | ~ spl0_371 ),
    inference(rat,[],[s4821,s4810,s142,s4660,s4850,s4263,s6969,s5281,s6872,s6543]) ).

cnf(s8966,plain,
    ( spl0_223
    | ~ spl0_423
    | spl0_206
    | ~ spl0_366
    | ~ spl0_31
    | spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s272,s6239,s2732,s3852,s5249,s4785,s4936,s8965,s307,s6899,s5641,s6185,s3502,s5708,s7382,s7381,s2535,s5633,s3830,s5581,s6957,s5700,s2851,s4183,s6109,s7764,s6964,s6202,s5127,s681,s8494,s4686,s6468,s7380,s6259,s4299,s5805,s1835,s1679,s6659,s8687,s6960,s6219,s1870,s1910,s8960,s67,s6936,s37,s1724,s8961,s342,s22,s24,s5736,s8914,s1653,s5894,s6306,s3003,s6114,s6955,s2067,s6080,s2151,s5950,s8906,s8861]) ).

cnf(s8967,plain,
    ( ~ spl0_223
    | ~ spl0_31
    | spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5633,s7382,s4183,s8724,s6205,s6080,s2151,s5950,s8906,s1910,s5736,s8861,s8960]) ).

cnf(s8968,plain,
    ( ~ spl0_31
    | spl0_370
    | spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5901,s6955,s8966,s2067,s6182,s2535,s2851,s6202,s8494,s7380,s5805,s8967,s7378,s8962,s8961,s342,s1679,s6306,s3003,s6080,s2151,s5950,s8906,s67,s22,s24,s1870,s1910,s5736,s8861,s8960,s1688]) ).

cnf(s8969,plain,
    ( spl0_223
    | spl0_306
    | ~ spl0_41
    | ~ spl0_28
    | ~ spl0_348
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_371 ),
    inference(rat,[],[s8614,s7383,s7380,s1998,s5805,s1835,s3003]) ).

cnf(s8970,plain,
    ( ~ spl0_365
    | ~ spl0_223
    | ~ spl0_421
    | ~ spl0_41
    | spl0_31
    | ~ spl0_313
    | spl0_323
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s3306,s6961,s8287,s7681,s5127,s6955,s7774,s2067,s1653,s3017,s3003,s5736,s2079,s2151]) ).

cnf(s8971,plain,
    ( spl0_370
    | spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6957,s6955,s4866,s5222,s2105,s7381,s3832,s1724,s10,s3806,s1982,s7380,s3953,s8614,s7378,s7383,s8970,s4183,s5633,s7382,s8724,s8969,s7337,s3508,s4146,s280,s8968,s1688,s6173,s37,s6080,s5950,s1910,s8960,s6960,s6306,s2151,s8906,s3003,s22,s24,s5736,s8861]) ).

cnf(s8972,plain,
    ( ~ spl0_31
    | spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6551,s2851,s3336,s6202,s8494,s5127,s7380,s3296,s2535,s5805,s4326,s6182,s8967,s1679,s6080,s2151,s5950,s67,s24,s1870,s1910,s5736,s8960,s1653,s8914,s1872,s8971,s8906,s3003,s8861]) ).

cnf(s8973,plain,
    ( spl0_323
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s1208,s7337,s5635,s3508,s2079,s4146,s8972,s6955,s2611,s8971,s6173,s2151,s8861,s37,s8906]) ).

cnf(s8974,plain,
    ( spl0_370
    | spl0_383
    | ~ spl0_388
    | ~ spl0_386
    | spl0_346
    | spl0_360
    | ~ spl0_31
    | ~ spl0_323
    | ~ spl0_195
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s3832,s8646,s10,s6956,s1982,s5974,s7506,s681,s5127,s6468,s4686,s4299,s7378,s8962,s6791,s1835,s6810,s1724,s7380,s8875]) ).

cnf(s8975,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s4766,s8911,s8974,s8628,s1870,s6259,s5168,s4752,s5641,s1653,s5524,s1835,s2935,s5176,s6791,s6810,s3984,s5950,s6343,s8960,s8861,s37,s8906,s8973]) ).

cnf(s8976,plain,
    ( ~ spl0_365
    | ~ spl0_521
    | spl0_383
    | spl0_392
    | spl0_192
    | spl0_370
    | ~ spl0_38
    | ~ spl0_32 ),
    inference(rat,[],[s2721,s2122,s5127,s6355,s8180,s7381,s7038,s1982,s10,s6304,s5370,s2507,s1688]) ).

cnf(s8977,plain,
    ( spl0_223
    | spl0_370
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6365,s6956,s6957,s7506,s8918,s5127,s3953,s8785,s4686,s7378,s8976,s2942,s3467,s5633,s7380,s7382,s8875,s6747,s6861,s7383,s1831,s1870,s3646,s1998,s6259,s8969,s5524,s6307,s1835,s6659,s8687,s538,s6343,s8960,s8973,s280,s6270,s2524,s22,s6461,s3820,s8861,s7337,s3508,s4146,s8975,s37,s8906,s1688]) ).

cnf(s8978,plain,
    ( ~ spl0_383
    | spl0_348
    | ~ spl0_363
    | ~ spl0_195
    | spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s6553,s2309,s3334,s6259,s3806,s1831]) ).

cnf(s8979,plain,
    ( ~ spl0_200
    | ~ spl0_201
    | ~ spl0_365
    | ~ spl0_41
    | ~ spl0_37
    | ~ spl0_195
    | ~ spl0_10
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s8190,s5127,s2536,s1208,s3481,s2405,s3306,s4437,s681]) ).

cnf(s8980,plain,
    ( ~ spl0_383
    | ~ spl0_363
    | ~ spl0_195
    | spl0_4
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s6172,s8978,s3806,s37]) ).

cnf(s8981,plain,
    ( ~ spl0_365
    | spl0_383
    | ~ spl0_223
    | spl0_370
    | ~ spl0_41
    | ~ spl0_37
    | ~ spl0_195
    | ~ spl0_10
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1982,s8979,s10,s1653,s5370,s3017,s1688]) ).

cnf(s8982,plain,
    ( ~ spl0_348
    | spl0_206
    | ~ spl0_366
    | ~ spl0_421
    | spl0_31
    | ~ spl0_323
    | spl0_4
    | ~ spl0_1
    | ~ spl0_371 ),
    inference(rat,[],[s1905,s7848,s7774,s2103,s6080,s6306,s5625,s3003,s5950,s1653]) ).

cnf(s8983,plain,
    ( ~ spl0_362
    | spl0_360
    | spl0_348
    | ~ spl0_223
    | spl0_528
    | ~ spl0_11 ),
    inference(rat,[],[s3075,s8724,s2309]) ).

cnf(s8984,plain,
    ( spl0_360
    | spl0_348
    | ~ spl0_366
    | ~ spl0_381
    | ~ spl0_223
    | spl0_370
    | ~ spl0_38
    | ~ spl0_323
    | spl0_528
    | ~ spl0_195
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s2721,s5127,s5026,s7506,s6957,s6955,s4866,s5222,s2105,s7381,s3832,s10,s1982,s3953,s5633,s7382,s8983,s7380,s3016]) ).

cnf(s8985,plain,
    ( spl0_348
    | ~ spl0_366
    | ~ spl0_381
    | ~ spl0_223
    | spl0_370
    | ~ spl0_38
    | ~ spl0_323
    | spl0_528
    | ~ spl0_203
    | ~ spl0_195
    | spl0_466
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_32 ),
    inference(rat,[],[s6553,s2309,s4480,s5050,s8984,s7380,s3016]) ).

cnf(s8986,plain,
    ( spl0_370
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6365,s7382,s6956,s6957,s8724,s3041,s8940,s1910,s8982,s3771,s6080,s5625,s8985,s7378,s8981,s1724,s8980,s7380,s3016,s8977,s1688,s6659,s8687,s3003,s5950,s539,s6343,s8960,s8973,s280,s6270,s2524,s67,s22,s6461,s3820,s8861,s7337,s3508,s4146,s8975,s37,s8906]) ).

cnf(s8987,plain,
    ( spl0_223
    | ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s7506,s4644,s6955,s7381,s2611,s8357,s6861,s8452,s7383,s3646,s1998,s6259,s6307,s1835,s538,s539,s8960,s8861,s8973,s280,s6270,s2524,s7337,s3508,s1208,s5635,s8986,s4146,s8975,s37,s8906]) ).

cnf(s8988,plain,
    ( ~ spl0_365
    | ~ spl0_223
    | ~ spl0_305
    | ~ spl0_370
    | spl0_31
    | ~ spl0_195
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8190,s5127,s6120,s4766,s1653,s3017,s1872]) ).

cnf(s8989,plain,
    ( ~ spl0_11
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3021,s6957,s1653,s4866,s8958,s7378,s8988,s7380,s3016,s8987,s1208,s5635,s2104,s1872,s8986,s7337,s3508,s4146,s8975,s8973,s8960,s5950,s37,s8906,s8861]) ).

cnf(s8990,plain,
    ( ~ spl0_365
    | ~ spl0_9
    | ~ spl0_193
    | ~ spl0_313
    | spl0_195
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s3577,s6200,s3866,s5126,s8196,s1831,s2219,s681,s8224,s8212,s8653,s67,s24]) ).

cnf(s8991,plain,
    ( ~ spl0_4
    | spl0_206
    | spl0_323
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7764,s6957,s6960,s1212,s6062,s2045,s5641,s2122,s2140,s8901,s7681,s1208,s6240,s1798,s8862,s2925,s6659,s8687,s280,s2079,s7378,s8990,s1835,s1688,s1997,s5018,s24,s5736,s6955,s2067,s8653,s8989,s2151]) ).

cnf(s8992,plain,
    ( spl0_206
    | spl0_323
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6240,s6961,s1798,s7681,s8614,s7337,s3508,s4146,s37,s8991,s6955,s2067,s1997,s7380,s5805,s3003,s22,s2079,s5018,s24,s2151,s7378,s8990,s5736,s8653,s1835,s1688,s8989]) ).

cnf(s8993,plain,
    ( spl0_323
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s2045,s3463,s2140,s4238,s8763,s7382,s2718,s5850,s6143,s4686,s5126,s8992,s7378,s8990,s2079,s280,s2524,s5018,s7380,s24,s5805,s5736,s2151,s3003,s8653,s8989,s1688,s1835]) ).

cnf(s8994,plain,
    ( ~ spl0_365
    | spl0_223
    | ~ spl0_313
    | spl0_195
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2693,s8990,s8224,s8653,s1835]) ).

cnf(s8995,plain,
    ( ~ spl0_200
    | ~ spl0_305
    | ~ spl0_23
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6724,s2828,s3695,s2295,s7337,s4752,s8653,s8989]) ).

cnf(s8996,plain,
    ( spl0_206
    | ~ spl0_368
    | ~ spl0_31
    | ~ spl0_366
    | ~ spl0_323
    | spl0_223
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3605,s6957,s6466,s5016,s6449,s8995,s5690,s37,s4787,s3770,s8723,s4817,s6855,s1208,s6955,s7383,s2002,s3271,s4070,s6149,s6200,s7973,s1653,s1679,s6659,s8687,s7337,s4752,s7380,s5050,s4828,s1835,s3003,s8653,s5018,s8989]) ).

cnf(s8997,plain,
    ( ~ spl0_31
    | spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5034,s6957,s5168,s37,s3605,s75,s455,s4787,s5297,s44,s2680,s3770,s2977,s76,s8723,s7681,s3901,s4409,s1208,s6955,s4726,s2002,s3271,s4865,s5126,s8996,s7381,s3832,s6393,s10,s1724,s1928,s2693,s24,s5018,s1679,s6659,s8687,s1835,s7337,s4752,s4828,s8993,s8653,s7378,s8994,s1688,s8989]) ).

cnf(s8998,plain,
    ( spl0_223
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s7525,s3271,s6962,s6149,s6113,s1653,s5126,s4686,s3342,s5226,s2718,s8763,s4961,s2524,s8997,s7378,s8994,s7380,s7337,s5050,s4752,s4828,s8993,s1835,s3003,s8653,s8989,s1688]) ).

cnf(s8999,plain,
    ( ~ spl0_365
    | ~ spl0_9
    | ~ spl0_192
    | ~ spl0_313
    | spl0_195
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8818,s1653,s7383,s5126,s3539,s2219,s8224,s8212,s8653,s2524,s280,s5018,s24]) ).

cnf(s9000,plain,
    ( spl0_206
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5630,s6964,s3154,s2295,s7383,s1840,s3539,s6976,s4360,s6333,s4257,s7381,s4726,s3011,s8880,s8668,s1653,s3003,s2952,s7006,s2079,s5018,s24,s2151,s7378,s8999,s5736,s8653,s6467,s8998,s1688,s8989]) ).

cnf(s9001,plain,
    ( ~ spl0_383
    | ~ spl0_421
    | spl0_536
    | ~ spl0_443
    | ~ spl0_366
    | spl0_418
    | spl0_323
    | ~ spl0_192
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5893,s6955,s6135,s8674,s2275,s7380,s6855,s7383,s3539,s8653]) ).

cnf(s9002,plain,
    ( ~ spl0_421
    | ~ spl0_4
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4974,s171,s3259,s5323,s1226,s5708,s5689,s6961,s5016,s7681,s6955,s8674,s7380,s8671,s4351,s307,s2122,s162,s6400,s186,s5707,s6099,s8918,s8245,s1241,s6957,s4750,s3011,s5120,s2718,s4726,s6444,s7381,s4286,s8562,s1724,s9001,s3003,s22,s2079,s5018,s2151,s6964,s2219,s5118,s7382,s5040,s4686,s5126,s7378,s8999,s1688,s6467,s8998,s5298,s8687,s5247,s67,s24,s5736,s8653,s8989,s9000]) ).

cnf(s9003,plain,
    ( ~ spl0_4
    | spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8674,s6956,s7380,s5893,s4238,s6135,s6960,s2045,s2140,s9002,s5247,s67,s280,s2079,s5018,s24,s2151,s6964,s2219,s7382,s5040,s4686,s5126,s9000,s7378,s8999,s5736,s8653,s1688,s6467,s8998,s8989]) ).

cnf(s9004,plain,
    ( spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s8674,s7525,s7380,s7337,s6962,s4238,s3508,s2721,s6960,s4146,s6270,s6306,s37,s9003,s7382,s5040,s4686,s5126,s9000,s7378,s8999,s2079,s2524,s5018,s24,s5736,s2151,s3003,s8653,s1688,s6467,s8998,s8989]) ).

cnf(s9005,plain,
    ( ~ spl0_365
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4787,s37,s5018,s3770,s5011,s2524,s6855,s5418,s7860,s7380,s6957,s7383,s4868,s2828,s3539,s2880,s2295,s8224,s8212,s1679,s3003,s1688,s6467,s8998,s7337,s4752,s4828,s9004,s8653,s8989]) ).

cnf(s9006,plain,
    ( ~ spl0_363
    | ~ spl0_201
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_313
    | spl0_195
    | spl0_11
    | ~ spl0_371 ),
    inference(rat,[],[s4360,s4257,s1724,s7381,s2880,s5062,s7772,s3003,s8653,s2952]) ).

cnf(s9007,plain,
    ( ~ spl0_377
    | ~ spl0_201
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_313
    | spl0_195
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s4360,s4257,s1724,s7381,s3539,s6538,s2952]) ).

cnf(s9008,plain,
    ( ~ spl0_201
    | ~ spl0_23
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s37,s4787,s5298,s3770,s2291,s6855,s3014,s7383,s9007,s7380,s9006,s1679,s8687,s1688,s6467,s8998,s7337,s4752,s4828,s9004,s8653,s8989]) ).

cnf(s9009,plain,
    ( ~ spl0_363
    | ~ spl0_4
    | ~ spl0_23
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s4974,s4856,s5323,s4922,s142,s8663,s186,s2832,s131,s6470,s8533,s4659,s3259,s6449,s7381,s3619,s3695,s3832,s2122,s10,s6101,s5014,s4817,s1786,s1724,s6957,s6955,s2880,s3580,s3768,s7772,s3003,s6467,s8998,s4752,s4828,s9004,s8653,s7378,s9005,s5126,s1653,s9008,s8989,s5298,s8687]) ).

cnf(s9010,plain,
    ( ~ spl0_362
    | ~ spl0_4
    | ~ spl0_31
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3852,s5299,s5006,s5708,s5986,s307,s2979,s6171,s4978,s5696,s5109,s171,s5323,s3867,s4263,s4920,s142,s8663,s186,s131,s8665,s8017,s6659,s3003,s5126,s2832,s5297,s3619,s7378,s9005,s1653,s9008,s4860,s5251,s5138,s7381,s3832,s10,s1786,s1724,s3539,s1798,s3014,s7380,s9009,s5018,s2291,s5298,s8687,s4752,s4828,s9004,s8653,s6467,s8998,s8989]) ).

cnf(s9011,plain,
    ( ~ spl0_4
    | ~ spl0_31
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s5014,s5100,s6957,s2105,s3887,s7382,s9010,s7381,s3832,s10,s6962,s1786,s1724,s3619,s3539,s1798,s3014,s7380,s9009,s2291,s5298,s8687,s6467,s8998,s4752,s4828,s9004,s8653,s7378,s9005,s5126,s1653,s9008,s5018,s8989]) ).

cnf(s9012,plain,
    ( ~ spl0_31
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3768,s7380,s6956,s8763,s7525,s2718,s6962,s2197,s2535,s3770,s5523,s4506,s4787,s37,s9011,s5126,s1653,s9008,s5018,s1679,s6467,s8998,s7337,s4752,s4828,s9004,s8653,s8989,s7378,s9005]) ).

cnf(s9013,plain,
    ( ~ spl0_100
    | ~ spl0_596
    | spl0_38
    | ~ spl0_51
    | spl0_31
    | ~ spl0_360
    | ~ spl0_192
    | spl0_466 ),
    inference(rat,[],[s7335,s3273,s4427,s2389,s4972,s160]) ).

cnf(s9014,plain,
    ( spl0_206
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s55,s7294,s253,s1664,s335,s4924,s2653,s2891,s7389,s142,s6462,s8663,s186,s131,s9013,s8017,s7382,s3887,s6957,s6724,s6120,s8899,s10,s2139,s1208,s1786,s1724,s3011,s6240,s3539,s53,s2718,s1798,s2773,s8763,s6855,s67,s7380,s9008,s9006,s1997,s1653,s6659,s17,s8687,s1688,s6467,s8998,s7337,s7378,s9005,s2832,s6445,s4961,s2524,s9012,s3003,s4752,s4828,s8653,s8989,s9004]) ).

cnf(s9015,plain,
    ( ~ spl0_363
    | spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s55,s7294,s253,s1664,s335,s3805,s3109,s4922,s142,s8663,s186,s53,s131,s2773,s8533,s6449,s67,s7381,s6270,s3825,s3780,s3832,s2721,s2977,s10,s5004,s6101,s3901,s4817,s1786,s1724,s6957,s6955,s2880,s3580,s3768,s7772,s6659,s8687,s6467,s8998,s7337,s7378,s9005,s7006,s2832,s6445,s4961,s2524,s9012,s3003,s4752,s4828,s8653,s9004,s5126,s9014,s8989]) ).

cnf(s9016,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s4978,s171,s5323,s3867,s4263,s4920,s142,s8663,s186,s131,s8665,s8017,s7382,s5053,s6957,s4129,s2979,s1208,s6240,s4750,s7381,s3832,s5298,s10,s6270,s1786,s1724,s3011,s3539,s2718,s1798,s8763,s6855,s7380,s9015,s5126,s9014,s2832,s6445,s4961,s2524,s9012,s7378,s9005,s7337,s4752,s4828,s9004,s6467,s8998,s8687,s3003,s8653,s8989]) ).

cnf(s9017,plain,
    ( ~ spl0_23
    | ~ spl0_370
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5298,s2979,s37,s3065,s4506,s6957,s2535,s2828,s2122,s7337,s3296,s3841,s7649,s4752,s5126,s4828,s5642,s5736,s24,s1679,s8687,s8653,s8989]) ).

cnf(s9018,plain,
    ( ~ spl0_365
    | spl0_323
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s4504,s8247,s2979,s5220,s5298,s3199,s6270,s8655,s6956,s2721,s5016,s7789,s5356,s8687,s2952,s22,s2524,s1208,s3296,s6957,s5120,s5242,s6964,s2219,s5126,s1653,s8880,s7006,s2079,s2151,s1872,s5018,s9017,s9016,s3003,s5736,s8653,s8989]) ).

cnf(s9019,plain,
    ( spl0_323
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s6955,s7337,s3199,s2045,s5220,s4280,s7382,s1724,s5040,s1840,s6467,s4865,s4686,s7378,s9018,s5626,s6964,s6957,s1208,s2219,s5120,s3296,s3841,s5126,s1653,s8880,s7006,s2079,s5736,s2151,s3003,s2952,s1872,s8653,s280,s5018,s9017,s9016,s8989]) ).

cnf(s9020,plain,
    ( spl0_223
    | ~ spl0_201
    | ~ spl0_365
    | ~ spl0_421
    | ~ spl0_360
    | ~ spl0_41
    | spl0_31
    | ~ spl0_370
    | spl0_195
    | spl0_466
    | ~ spl0_1
    | ~ spl0_32 ),
    inference(rat,[],[s8891,s1727,s1798,s6855,s7380,s5050,s2202,s1835,s4961,s2524]) ).

cnf(s9021,plain,
    ( spl0_206
    | ~ spl0_365
    | spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6270,s3011,s5940,s2718,s4230,s8763,s6198,s7380,s5062,s6467,s9020,s7381,s3577,s3866,s7649,s6962,s2651,s6120,s5642,s1653,s6659,s8687,s2952,s1872,s67,s280,s4961,s3003,s2524,s5018,s9017,s9016,s7337,s4752,s4828,s9019,s8653,s8989]) ).

cnf(s9022,plain,
    ( ~ spl0_196
    | ~ spl0_421
    | spl0_418
    | ~ spl0_360
    | spl0_327
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s6955,s1208,s5100,s3296]) ).

cnf(s9023,plain,
    ( spl0_195
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s6270,s3011,s5940,s2718,s4230,s8763,s6198,s7380,s5222,s6956,s6467,s7525,s6149,s6962,s7378,s2651,s6120,s9021,s5642,s1653,s5126,s9022,s7337,s4961,s4752,s4828,s9019,s2524,s5018,s67,s9017,s2104,s1872,s9016,s2952,s3003,s8653,s8989]) ).

cnf(s9024,plain,
    ( ~ spl0_23
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s8763,s7380,s2680,s5050,s6235,s1835,s6467,s3865,s1798,s6747,s7382,s7337,s4480,s4752,s4828,s2718,s5736,s4477,s24,s3003,s539,s9023,s8653,s8989]) ).

cnf(s9025,plain,
    ( spl0_323
    | ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s5850,s1831,s7382,s5612,s6181,s37,s5290,s5316,s4146,s2718,s5291,s6258,s7383,s4752,s5641,s3646,s7380,s1998,s8969,s6307,s5805,s1835,s6467,s1870,s1910,s2079,s5736,s2151,s6659,s8687,s3003,s8653,s538,s9023,s67,s22,s2524,s280,s5018,s9024,s8989]) ).

cnf(s9026,plain,
    ( ~ spl0_371
    | ~ spl0_24 ),
    inference(rat,[],[s3972,s7380,s6747,s6855,s7383,s3865,s1870,s3166,s5405,s4237,s7382,s7337,s4961,s4480,s4752,s4828,s9025,s2524,s5018,s67,s9024,s539,s9023,s3003,s8653,s8989]) ).

cnf(s9027,plain,
    ( ~ spl0_363
    | spl0_192
    | spl0_206
    | spl0_418
    | ~ spl0_23
    | ~ spl0_360
    | ~ spl0_383
    | ~ spl0_370
    | ~ spl0_193
    | spl0_223
    | spl0_31
    | spl0_323
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s4122,s4305,s7378,s6298,s8180,s6234,s7381,s7382,s2718,s5127,s6200,s5850,s5226,s8730,s4685,s5805,s6659,s8687,s1690,s9026,s7337,s6497,s6461,s2151]) ).

cnf(s9028,plain,
    ( ~ spl0_364
    | ~ spl0_421
    | spl0_418
    | ~ spl0_23
    | ~ spl0_193
    | spl0_31 ),
    inference(rat,[],[s5226,s4070,s2718,s1798,s8763,s6855]) ).

cnf(s9029,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6593,s3276,s6117,s6919,s7378,s4031,s3587,s4122,s6962,s6769,s1212,s4305,s3500,s6298,s2234,s6234,s7382,s2718,s2827,s5850,s5226,s9027,s7928,s4685,s4868,s5805,s7380,s9028,s7337,s6497,s6461,s2680,s7148,s7146,s8514,s7925,s6139,s10,s458,s51,s41,s5225,s280,s2151,s4134,s7379,s5988,s7314,s2279,s7304,s5672,s6398,s8034,s1,s15,s6659,s17,s8687,s1690,s9026]) ).

cnf(s9030,plain,
    ( ~ spl0_365
    | spl0_223
    | ~ spl0_313
    | ~ spl0_17
    | ~ spl0_1
    | spl0_195 ),
    inference(rat,[],[s8907,s8224,s8212]) ).

cnf(s9031,plain,
    ( ~ spl0_13
    | ~ spl0_366
    | spl0_387
    | spl0_195 ),
    inference(rat,[],[s8771,s1786]) ).

cnf(s9032,plain,
    ( spl0_206
    | spl0_360
    | ~ spl0_303
    | ~ spl0_383
    | spl0_223
    | ~ spl0_313
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s305,s7329,s5332,s4288,s3500,s6443,s6969,s6202,s1342,s8494,s2386,s7380,s4785,s2525,s5222,s8569,s2045,s5144,s8631,s1653,s1679,s1690,s3984,s6936,s6957,s6105,s10,s9031,s9026,s6964,s5975,s6949,s4301,s7378,s9030,s6185,s6219,s67,s24,s2693,s1870,s3502,s7382,s5850,s1831,s4023,s1835,s5950,s7314,s8687,s9029]) ).

cnf(s9033,plain,
    ( spl0_360
    | ~ spl0_303
    | ~ spl0_383
    | spl0_223
    | ~ spl0_313
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3734,s3605,s4326,s6182,s9032,s6185,s6219,s6957,s6105,s10,s9031,s7378,s9030,s6949,s4301,s9026,s1870,s67,s24,s2693,s3502,s7382,s5850,s1831,s4023,s1835,s5950,s7314,s8687,s9029]) ).

cnf(s9034,plain,
    ( spl0_223
    | spl0_370
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7287,s6234,s5578,s3585,s7380,s3605,s4326,s6298,s4238,s7190,s8631,s4305,s6960,s6201,s2651,s3271,s9033,s7382,s6964,s5850,s5975,s2693,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s9031,s7378,s9030,s1835,s6659,s1690,s9026,s4221,s3984,s5950,s7314,s9029,s6949,s6936,s4301,s8687,s1688]) ).

cnf(s9035,plain,
    ( ~ spl0_365
    | ~ spl0_335
    | ~ spl0_377
    | ~ spl0_223
    | ~ spl0_313
    | ~ spl0_10
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4649,s6961,s7381,s4195,s8180,s3584,s6032,s5127,s1212,s3481,s3500,s3539,s4437,s1653,s8224,s8212,s3017,s9029]) ).

cnf(s9036,plain,
    ( spl0_206
    | spl0_192
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_366
    | ~ spl0_223
    | spl0_323 ),
    inference(rat,[],[s8598,s2690,s7381,s6228,s7382,s8724,s5127,s3271,s3276,s6201,s5141,s1653,s2151,s1870]) ).

cnf(s9037,plain,
    ( spl0_370
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4750,s7381,s7732,s6774,s9036,s3539,s6957,s6956,s6976,s6105,s6115,s8556,s10,s9031,s7378,s9035,s2197,s5949,s6205,s9034,s1688,s1679,s1690,s9026,s9029,s6949,s4301,s8687]) ).

cnf(s9038,plain,
    ( ~ spl0_201
    | ~ spl0_365
    | ~ spl0_193
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4023,s6976,s8180,s8562,s7381,s8262,s3175,s6956,s5016,s6964,s6957,s5127,s6108,s6201,s4766,s3984,s5950,s7314,s6173,s4301,s8687,s1872,s9037,s9029,s5356,s2952]) ).

cnf(s9039,plain,
    ( ~ spl0_365
    | ~ spl0_193
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2509,s5242,s1212,s6919,s5635,s3296,s4326,s7190,s1653,s9038,s9029,s4221,s9037]) ).

cnf(s9040,plain,
    ( spl0_223
    | spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6550,s2105,s8498,s4866,s3755,s6957,s5805,s7601,s7380,s5609,s7382,s5520,s7684,s5143,s1653,s5127,s10,s1724,s6149,s4865,s9031,s4122,s7378,s9039,s1835,s1690,s9026,s6949,s4301,s8687,s2151,s1872,s9037,s9029]) ).

cnf(s9041,plain,
    ( ~ spl0_365
    | ~ spl0_223
    | spl0_319
    | ~ spl0_370
    | spl0_417
    | spl0_323
    | ~ spl0_246
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195 ),
    inference(rat,[],[s7243,s2696,s5016,s8260,s6957,s6108,s6201,s1653,s5356,s3017,s2952]) ).

cnf(s9042,plain,
    ( spl0_206
    | ~ spl0_14
    | spl0_383
    | ~ spl0_366
    | spl0_319
    | spl0_323
    | ~ spl0_246
    | ~ spl0_1
    | spl0_371 ),
    inference(rat,[],[s5027,s6955,s6964,s6957,s8553,s6108,s6201,s5144,s1653,s2151]) ).

cnf(s9043,plain,
    ( spl0_323
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8562,s6964,s7381,s1212,s4750,s5635,s7732,s4326,s6182,s9042,s10,s1724,s9031,s4122,s7378,s9041,s5949,s9040,s1872,s9037,s6173,s9026,s9029,s3984,s7314,s6949,s4301,s8687]) ).

cnf(s9044,plain,
    ( spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3500,s4323,s5168,s342,s1208,s8631,s22,s7381,s2645,s6964,s24,s6200,s3706,s5975,s2693,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s9031,s7378,s9030,s1688,s1690,s9026,s3984,s5950,s7314,s9029,s6949,s6936,s4301,s8687,s6791,s5176,s2935,s1835,s6810,s9043]) ).

cnf(s9045,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s7506,s2696,s2651,s8262,s7381,s3578,s142,s5691,s2024,s4499,s5242,s6031,s6964,s7378,s5127,s6119,s6108,s8957,s4766,s5642,s1872,s9044,s7797,s2081,s1653,s5176,s6791,s9043,s6936,s5950,s3984,s4301,s7314,s8687,s9029]) ).

cnf(s9046,plain,
    ( spl0_223
    | ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s8887,s8869,s5950,s5226,s9030,s1835,s9045,s1831,s8224,s1688,s9029]) ).

cnf(s9047,plain,
    ( ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s3500,s8818,s4146,s1653,s37,s3017,s5988,s9046,s8224,s8212,s2524,s280,s9045,s1688]) ).

cnf(s9048,plain,
    ( ~ spl0_200
    | ~ spl0_459
    | ~ spl0_63
    | ~ spl0_9
    | ~ spl0_383
    | ~ spl0_201
    | ~ spl0_366
    | ~ spl0_41
    | ~ spl0_1
    | ~ spl0_32 ),
    inference(rat,[],[s3501,s5127,s5581,s1840,s2219,s3306,s2295]) ).

cnf(s9049,plain,
    ( ~ spl0_383
    | spl0_206
    | spl0_223
    | spl0_323
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3174,s6330,s1208,s3664,s6240,s7380,s1798,s4866,s3154,s6957,s5630,s4851,s6964,s9048,s6333,s5522,s4249,s67,s7381,s7382,s24,s6200,s5850,s5226,s2693,s1831,s6659,s8687,s1690,s9026,s2952,s9029,s280,s1688,s7378,s9047,s1835,s1997,s9045,s5144,s1653]) ).

cnf(s9050,plain,
    ( spl0_383
    | ~ spl0_366
    | spl0_370
    | spl0_195
    | spl0_371 ),
    inference(rat,[],[s10,s8556,s1786,s1724]) ).

cnf(s9051,plain,
    ( spl0_223
    | spl0_323
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8357,s1208,s7381,s3585,s2675,s6956,s6115,s7380,s10,s7700,s2154,s6960,s2045,s6234,s2234,s7383,s3500,s4146,s37,s3984,s7382,s2718,s7225,s5850,s5226,s5225,s9049,s1835,s6659,s17,s8687,s1690,s280,s1831,s9050,s7378,s9047,s9026,s9029,s3204,s2524,s9045]) ).

cnf(s9052,plain,
    ( spl0_206
    | ~ spl0_63
    | spl0_377
    | ~ spl0_10
    | ~ spl0_223
    | spl0_323
    | ~ spl0_366
    | spl0_370
    | spl0_195
    | spl0_371 ),
    inference(rat,[],[s5289,s6181,s3203,s7382,s3271,s3755,s7380,s6201,s9036,s5222,s5141,s6957,s6956,s6105,s6115,s10,s9031,s5144,s4144,s1653,s1690,s1688,s2151,s7383]) ).

cnf(s9053,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_201
    | ~ spl0_206
    | ~ spl0_63
    | spl0_377
    | ~ spl0_223
    | spl0_323
    | spl0_386
    | ~ spl0_366 ),
    inference(rat,[],[s6774,s7381,s5040,s6228,s7382,s6181,s5289,s3203,s3271,s6201,s7383,s7380,s5222,s5144]) ).

cnf(s9054,plain,
    ( ~ spl0_303
    | ~ spl0_201
    | ~ spl0_206
    | ~ spl0_63
    | spl0_377
    | ~ spl0_223
    | spl0_323
    | spl0_386
    | ~ spl0_366
    | spl0_370
    | spl0_371 ),
    inference(rat,[],[s6283,s1982,s2154,s10,s6105,s6957,s9053,s1688,s5144]) ).

cnf(s9055,plain,
    ( ~ spl0_13
    | spl0_493
    | spl0_323
    | ~ spl0_383
    | ~ spl0_366
    | ~ spl0_41
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s6769,s2045,s3673,s8771,s2154,s9026]) ).

cnf(s9056,plain,
    ( ~ spl0_200
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_383
    | ~ spl0_366
    | ~ spl0_1
    | spl0_195 ),
    inference(rat,[],[s8523,s7381,s6960,s6774,s2335,s1840,s5975,s2295]) ).

cnf(s9057,plain,
    ( spl0_368
    | spl0_201
    | ~ spl0_206
    | ~ spl0_17
    | ~ spl0_223
    | ~ spl0_383
    | ~ spl0_11 ),
    inference(rat,[],[s4023,s6774,s7227,s7381]) ).

cnf(s9058,plain,
    ( spl0_323
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s6855,s2045,s3673,s7380,s3463,s2675,s8523,s9057,s3580,s9054,s6957,s6956,s6105,s6115,s10,s9055,s9052,s7383,s67,s3500,s6461,s4146,s3820,s5950,s37,s5988,s9051,s3204,s1690,s2524,s280,s9045,s1688,s1831,s9050,s7378,s9047,s9026,s9029]) ).

cnf(s9059,plain,
    ( spl0_206
    | spl0_392
    | ~ spl0_193
    | ~ spl0_393
    | ~ spl0_10
    | spl0_386
    | ~ spl0_383
    | ~ spl0_366
    | spl0_195 ),
    inference(rat,[],[s5630,s6333,s3154,s6964,s7381,s5975,s6200,s4144,s2952]) ).

cnf(s9060,plain,
    ( ~ spl0_367
    | spl0_192
    | spl0_392
    | ~ spl0_393
    | ~ spl0_1
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s3825,s2509,s3590,s6961,s5630,s4433,s8357,s6333,s3154,s2952,s1870]) ).

cnf(s9061,plain,
    ( spl0_223
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8875,s2651,s7380,s3463,s2675,s8523,s7381,s9060,s3580,s6956,s6957,s3041,s3021,s9059,s1870,s4023,s5226,s2693,s1835,s1831,s5950,s9029,s7383,s3500,s4146,s37,s7304,s9058,s9045,s9050,s7378,s9047,s9026]) ).

cnf(s9062,plain,
    ( spl0_206
    | spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8872,s6962,s2309,s6062,s7382,s2140,s2103,s6365,s8950,s5222,s6957,s6956,s6105,s6115,s10,s9031,s4144,s1997,s1653,s1690,s1688,s1831,s5950,s9029,s7383,s3500,s4146,s37,s7304,s9045,s9050,s7378,s9047,s9026,s7380,s3016,s9061,s9058]) ).

cnf(s9063,plain,
    ( spl0_370
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2309,s4023,s2103,s6774,s9057,s7381,s7382,s2675,s6365,s7856,s3580,s6956,s6957,s3041,s3021,s9062,s7380,s3016,s9061,s5950,s7304,s9058,s9050,s7378,s9047,s9026,s9029]) ).

cnf(s9064,plain,
    ( spl0_386
    | spl0_206
    | spl0_223
    | ~ spl0_365
    | ~ spl0_370
    | ~ spl0_41
    | spl0_31
    | ~ spl0_1
    | spl0_195
    | ~ spl0_32 ),
    inference(rat,[],[s7383,s8891,s8872,s8619,s1835,s2202,s6962,s6120,s1653,s1872]) ).

cnf(s9065,plain,
    ( ~ spl0_367
    | spl0_192
    | spl0_315
    | ~ spl0_9
    | ~ spl0_365
    | ~ spl0_32 ),
    inference(rat,[],[s2219,s5127,s3579,s8180]) ).

cnf(s9066,plain,
    ( spl0_323
    | ~ spl0_363
    | ~ spl0_361
    | spl0_315
    | ~ spl0_9
    | ~ spl0_201
    | spl0_401
    | spl0_223
    | ~ spl0_365
    | spl0_319
    | ~ spl0_41
    | ~ spl0_32 ),
    inference(rat,[],[s7454,s7789,s3306,s8433,s5026,s6955,s2675,s7381,s9065,s3755,s5805,s6957,s5225,s6201,s2151,s1835,s6962]) ).

cnf(s9067,plain,
    ( spl0_206
    | spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s8830,s8891,s4146,s6270,s37,s7304,s9066,s7380,s7382,s5520,s5143,s10,s1724,s1832,s1831,s9064,s6120,s5642,s1653,s6659,s8687,s1690,s9026,s2524,s280,s1872,s9063,s9029,s2202,s9045]) ).

cnf(s9069,plain,
    ( spl0_377
    | ~ spl0_303
    | ~ spl0_367
    | ~ spl0_362
    | spl0_493
    | spl0_392
    | ~ spl0_24 ),
    inference(rat,[],[s3585,s6961,s6234,s8357,s2234,s7383,s6659,s17,s8687,s1690,s9026,s2718]) ).

cnf(s9070,plain,
    ( ~ spl0_377
    | ~ spl0_367
    | ~ spl0_383
    | spl0_223
    | ~ spl0_365
    | spl0_31
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s2721,s8180,s9065,s3539,s1727,s6659,s8687,s2693]) ).

cnf(s9071,plain,
    ( ~ spl0_367
    | ~ spl0_383
    | spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s1212,s5635,s2509,s6961,s2122,s5630,s8357,s6682,s3154,s7383,s9070,s6333,s2952,s9063,s5226,s1831,s9029,s9045,s1835]) ).

cnf(s9072,plain,
    ( spl0_323
    | spl0_377
    | ~ spl0_609
    | ~ spl0_368
    | ~ spl0_468
    | ~ spl0_9
    | spl0_386
    | ~ spl0_206
    | ~ spl0_193
    | ~ spl0_365
    | ~ spl0_41
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4391,s6109,s2669,s4868,s3584,s6919,s5127,s2219,s2509,s5894,s7926,s7380,s6955,s4238,s8382,s6960,s2045,s6234,s2234,s7382,s5850,s5225,s2151,s6659,s17,s8687,s1690,s9026]) ).

cnf(s9073,plain,
    ( ~ spl0_383
    | spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7594,s5242,s1208,s6964,s5635,s8907,s4146,s6270,s5950,s37,s7304,s9072,s7383,s4183,s5640,s6232,s7381,s9071,s2718,s5226,s2693,s1831,s9026,s9029,s2524,s280,s9045,s9063,s1835,s9067]) ).

cnf(s9074,plain,
    ( ~ spl0_367
    | spl0_192
    | spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s1839,s171,s2121,s8242,s3868,s3577,s6962,s142,s2803,s2721,s1948,s2960,s458,s8509,s2279,s37,s3863,s1989,s3072,s2219,s3296,s681,s5127,s2509,s8180,s8562,s17,s9026,s9029,s9063,s2202,s9045,s9067,s1724,s6393,s10,s1786,s9073,s6659,s8687]) ).

cnf(s9075,plain,
    ( spl0_323
    | spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s5077,s67,s8700,s4647,s458,s4216,s2279,s6396,s1208,s37,s3296,s3863,s5127,s3072,s5609,s681,s6101,s5016,s6955,s2675,s7381,s9074,s6957,s8867,s3755,s5805,s7684,s5225,s2151,s9045,s1872,s9063,s9029,s5356,s2952,s1835,s9067,s6393,s6659,s8687,s7382,s5143,s1724,s7380,s5520,s10,s1786,s1690,s9026,s9073]) ).

cnf(s9076,plain,
    ( spl0_94
    | ~ spl0_100
    | ~ spl0_192
    | ~ spl0_367
    | spl0_4
    | ~ spl0_365
    | spl0_31
    | spl0_195
    | ~ spl0_32 ),
    inference(rat,[],[s55,s7294,s138,s5565,s5953,s3273,s8242,s142]) ).

cnf(s9077,plain,
    ( spl0_223
    | ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7494,s4158,s171,s5565,s5691,s4314,s158,s9076,s4452,s8936,s5516,s6402,s3011,s2509,s9074,s8562,s1208,s7381,s5635,s5836,s4146,s6956,s6957,s6270,s37,s3041,s3021,s7304,s9075,s7380,s7382,s5520,s5143,s10,s1786,s1724,s9073,s9067,s6659,s8687,s1690,s9026,s2524,s9045,s1872,s9063,s9029]) ).

cnf(s9078,plain,
    ( ~ spl0_365
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4195,s7788,s1208,s5127,s6032,s6962,s5635,s4766,s6120,s4146,s1653,s6270,s5950,s37,s3017,s5988,s9077,s2524,s9045,s1872,s9063,s9029]) ).

cnf(s9079,plain,
    ( ~ spl0_367
    | spl0_537
    | ~ spl0_305
    | spl0_392
    | ~ spl0_383
    | ~ spl0_345
    | ~ spl0_1
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3539,s1798,s3501,s8357,s5522]) ).

cnf(s9080,plain,
    ( ~ spl0_383
    | spl0_323
    | spl0_223
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7243,s8382,s7926,s6960,s2045,s6234,s6964,s2234,s3953,s4183,s5640,s6232,s7381,s9079,s5581,s67,s1208,s7382,s2718,s24,s2052,s5850,s5226,s2693,s4122,s1831,s6659,s17,s8687,s1690,s9026,s280,s9045,s5127,s4865,s1872,s9063,s9029,s7378,s9078,s2151,s5225,s1835]) ).

cnf(s9081,plain,
    ( spl0_323
    | spl0_223
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2105,s7381,s4866,s8498,s6957,s3755,s7601,s5805,s7382,s5609,s7380,s5143,s7684,s5520,s10,s1786,s1724,s9080,s2151,s1690,s9026,s1835,s1653,s6149,s5127,s4865,s1872,s9063,s9029,s7378,s9078]) ).

cnf(s9082,plain,
    ( ~ spl0_383
    | spl0_223
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8523,s7381,s6960,s9079,s2335,s5226,s4122,s1831,s1835,s5127,s4865,s6957,s3021,s6956,s3041,s1653,s6149,s1872,s7378,s9078,s1208,s5581,s67,s6461,s3820,s9029,s6659,s8687,s5635,s4146,s37,s7304,s9081,s9026,s9045,s9063]) ).

cnf(s9083,plain,
    ( spl0_223
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6365,s7382,s7380,s5143,s5520,s10,s1786,s1724,s9082,s6956,s6957,s3041,s3021,s9081,s1653,s6149,s1690,s9026,s1872,s9063,s9029,s7378,s9078]) ).

cnf(s9084,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_206
    | ~ spl0_305
    | ~ spl0_38
    | ~ spl0_223 ),
    inference(rat,[],[s3011,s8357,s6774]) ).

cnf(s9085,plain,
    ( ~ spl0_193
    | ~ spl0_428
    | ~ spl0_303
    | spl0_323
    | ~ spl0_368
    | spl0_195 ),
    inference(rat,[],[s8382,s5225,s5228,s2151]) ).

cnf(s9086,plain,
    ( ~ spl0_364
    | spl0_346
    | ~ spl0_436
    | ~ spl0_308 ),
    inference(rat,[],[s4209,s4287,s5506,s6960]) ).

cnf(s9087,plain,
    ( ~ spl0_303
    | ~ spl0_443
    | ~ spl0_368
    | ~ spl0_206
    | ~ spl0_387
    | ~ spl0_223
    | ~ spl0_366
    | spl0_195
    | ~ spl0_308 ),
    inference(rat,[],[s5739,s3768,s3625,s3502,s7382,s2105,s5222,s7380,s9086,s6117,s6957,s8523,s5220,s6960,s2335,s2952]) ).

cnf(s9088,plain,
    ( spl0_323
    | ~ spl0_346
    | ~ spl0_387
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s6769,s7337,s3673,s2045,s3204,s2524,s280]) ).

cnf(s9089,plain,
    ( ~ spl0_383
    | ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3041,s9088,s7926,s6955,s9087,s6964,s3953,s5640,s7381,s9084,s7383,s4144,s3500,s4122,s1690,s9026,s7378,s9078,s6270,s2524,s1208,s5635,s4146,s37,s5988,s9083,s9045,s9063]) ).

cnf(s9090,plain,
    ( spl0_368
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_381
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_11
    | spl0_195 ),
    inference(rat,[],[s7243,s6365,s7506,s7283,s2151,s5050,s4027,s3755,s5127,s1308,s6774,s3863,s7227,s1653,s3072,s6402,s681,s2509,s8562,s7381,s1872,s37,s5988]) ).

cnf(s9091,plain,
    ( ~ spl0_11
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s5203,s6510,s7006,s6960,s2680,s4860,s6172,s4647,s7283,s1653,s6402,s2509,s4216,s5027,s6396,s6955,s6957,s5222,s4866,s2105,s9090,s7382,s7380,s5143,s5520,s10,s1786,s1724,s9089,s1208,s67,s5635,s6461,s4146,s3820,s6270,s37,s5988,s9083,s7378,s9078,s1872,s9063,s2524,s9045,s9029,s6659,s8687,s1690,s9026]) ).

cnf(s9092,plain,
    ( ~ spl0_383
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6593,s3276,s5017,s5050,s3547,s7380,s3073,s3713,s9086,s4644,s2651,s7381,s4828,s8357,s8252,s7383,s1727,s6270,s2721,s7789,s5242,s6964,s1208,s2219,s3296,s5126,s9064,s5226,s280,s2524,s5018,s24,s2693,s1831,s6659,s8687,s1690,s9026,s2952,s8653,s1835,s6963,s8994,s9091]) ).

cnf(s9093,plain,
    ( ~ spl0_367
    | ~ spl0_382
    | ~ spl0_31
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_381
    | spl0_223
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3663,s4,s5701,s5850,s8,s3483,s4070,s7632,s5051,s2121,s8493,s6962,s3695,s2509,s8562,s6659,s8687,s9026,s8653,s1835,s24,s5018,s9091]) ).

cnf(s9094,plain,
    ( spl0_323
    | ~ spl0_609
    | ~ spl0_305
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_361
    | spl0_319
    | ~ spl0_193
    | spl0_606
    | ~ spl0_365
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s3695,s6691,s5016,s7383,s6955,s6957,s4070,s6218,s5120,s5850,s2151]) ).

cnf(s9095,plain,
    ( ~ spl0_31
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3695,s6724,s5016,s7337,s6955,s6957,s5077,s5100,s5053,s5050,s4828,s9094,s2105,s6232,s7381,s9093,s1989,s1208,s3296,s5126,s5642,s24,s5018,s17,s8687,s5356,s2952,s1835,s1872,s6963,s8994,s8653,s9091,s7380,s5520,s1690,s7382,s5143,s10,s1786,s1724,s9092,s9026]) ).

cnf(s9096,plain,
    ( spl0_206
    | ~ spl0_200
    | ~ spl0_367
    | spl0_31
    | ~ spl0_370
    | ~ spl0_365
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s3866,s67,s3577,s2219,s24,s6120,s5642,s1653,s1872]) ).

cnf(s9097,plain,
    ( ~ spl0_94
    | ~ spl0_63
    | spl0_47
    | spl0_192
    | ~ spl0_466
    | spl0_360
    | spl0_484
    | spl0_9
    | spl0_309
    | ~ spl0_367
    | ~ spl0_363
    | ~ spl0_365
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s3731,s8711,s131,s171,s1948,s4314]) ).

cnf(s9098,plain,
    ( spl0_377
    | spl0_346
    | spl0_323
    | ~ spl0_367
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s5518,s160,s131,s5012,s2677,s8242,s142,s9097,s67,s5221,s1212,s3695,s2721,s53,s8357,s6691,s2422,s7383,s2219,s1208,s3296,s37,s3863,s3072,s681,s5225,s7684,s6957,s5120,s1872,s5126,s9096,s2509,s8562,s9095,s6963,s8994,s8653,s9091,s3755,s4027,s2151,s1308,s1835,s7380,s5520,s1690,s7382,s5143,s10,s1786,s1724,s9092,s9026]) ).

cnf(s9099,plain,
    ( ~ spl0_377
    | ~ spl0_307
    | spl0_493
    | ~ spl0_196
    | spl0_31
    | ~ spl0_363
    | spl0_223
    | ~ spl0_32 ),
    inference(rat,[],[s2122,s3981,s2721,s3483,s1727]) ).

cnf(s9100,plain,
    ( spl0_323
    | ~ spl0_367
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s6955,s3673,s2045,s3199,s9098,s9099,s1200,s6957,s3204,s5120,s6659,s17,s8687,s1872,s7380,s5520,s10,s1786,s1690,s9026,s2524,s280,s1208,s3296,s5126,s9096,s2509,s8562,s1724,s9092,s9095,s8653,s6963,s8994,s9091]) ).

cnf(s9101,plain,
    ( ~ spl0_367
    | spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2721,s1727,s2122,s1798,s8493,s8357,s5226,s4685,s4828,s9100,s1208,s3296,s5126,s9096,s2509,s8562,s8653,s1835,s6963,s8994,s9091,s1724,s7380,s5520,s10,s1786,s1690,s9026,s9092,s9095]) ).

cnf(s9102,plain,
    ( spl0_206
    | ~ spl0_41
    | spl0_31
    | ~ spl0_361
    | ~ spl0_363
    | ~ spl0_370
    | spl0_223
    | ~ spl0_365
    | spl0_11
    | spl0_195
    | ~ spl0_32 ),
    inference(rat,[],[s4828,s9066,s4685,s6120,s9064,s5642,s1653,s1872,s8653,s2202]) ).

cnf(s9103,plain,
    ( spl0_323
    | spl0_309
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_609
    | ~ spl0_14
    | spl0_383
    | spl0_319
    | ~ spl0_193
    | spl0_606
    | ~ spl0_365
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s4216,s4647,s6396,s6955,s67,s6957,s6218,s9094,s5120,s7684,s2151,s7382,s5143,s1724,s9026,s1208]) ).

cnf(s9104,plain,
    ( spl0_418
    | spl0_346
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_32 ),
    inference(rat,[],[s5203,s6510,s7006,s6960]) ).

cnf(s9105,plain,
    ( ~ spl0_94
    | spl0_47
    | ~ spl0_341
    | spl0_9
    | ~ spl0_198
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6063,s186,s4978,s131,s171,s1948,s4314,s8653]) ).

cnf(s9106,plain,
    ( ~ spl0_100
    | ~ spl0_95
    | spl0_38
    | ~ spl0_51
    | ~ spl0_306
    | ~ spl0_307
    | ~ spl0_196
    | spl0_31
    | ~ spl0_370
    | ~ spl0_1 ),
    inference(rat,[],[s4985,s7316,s2632,s2803,s160,s2960,s2633,s2524]) ).

cnf(s9107,plain,
    ( ~ spl0_315
    | ~ spl0_51
    | ~ spl0_306
    | ~ spl0_341
    | ~ spl0_568
    | ~ spl0_200
    | ~ spl0_307
    | ~ spl0_466
    | ~ spl0_196
    | spl0_31
    | ~ spl0_370
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3002,s5841,s186,s131,s9106,s142,s9105,s1212,s2721,s8653,s3841,s2219]) ).

cnf(s9108,plain,
    ( spl0_223
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s7789,s6962,s9107,s53,s5008,s67,s5077,s2140,s5013,s2979,s5298,s3663,s37,s4,s3863,s8,s3072,s2219,s681,s5016,s1200,s4385,s6955,s6957,s3755,s5226,s5100,s5053,s5050,s4685,s4828,s9103,s1208,s3296,s5126,s9102,s2105,s6232,s7381,s9101,s280,s9095,s7382,s7380,s5143,s5520,s10,s1786,s1724,s9092,s1872,s6963,s8994,s1835,s6659,s17,s8687,s1690,s9026,s8653,s9091,s5356,s2952]) ).

cnf(s9109,plain,
    ( ~ spl0_31
    | ~ spl0_383
    | ~ spl0_200
    | ~ spl0_223
    | ~ spl0_365
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1653,s5102,s5126,s7381,s3825,s3970,s6961,s4395,s6691,s3695,s5018,s4504,s7383,s3539,s8653,s6467]) ).

cnf(s9110,plain,
    ( ~ spl0_313
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6270,s2721,s5298,s6691,s2979,s1208,s3825,s5126,s1653,s8818,s280,s2524,s9109,s4504,s7383,s3539,s8224,s8212,s8687,s8653,s6467,s9108,s9091]) ).

cnf(s9113,plain,
    ( ~ spl0_393
    | spl0_309
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_23
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_24 ),
    inference(rat,[],[s37,s4506,s5298,s2535,s2979,s6691,s4504,s1679,s8687,s1208]) ).

cnf(s9114,plain,
    ( ~ spl0_367
    | ~ spl0_31
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s9022,s8243,s5046,s3011,s2832,s2977,s8493,s5297,s7789,s6962,s3695,s2509,s8562,s1208,s7380,s5520,s1690,s7337,s3907,s4828,s5040,s4070,s7382,s5143,s10,s1786,s1724,s3539,s9026,s6467,s1798,s9113,s3296,s5126,s5642,s24,s8653,s6963,s9110,s5018,s9091,s9108]) ).

cnf(s9115,plain,
    ( ~ spl0_31
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2832,s6470,s4129,s5046,s6957,s9022,s5053,s2105,s7381,s9114,s7337,s3907,s4828,s5040,s7382,s7380,s5143,s5520,s10,s1786,s1724,s4070,s3539,s1798,s9113,s1208,s3296,s5126,s5642,s24,s5018,s1690,s9026,s8653,s6467,s9108,s9091,s6963,s9110]) ).

cnf(s9116,plain,
    ( ~ spl0_196
    | ~ spl0_562
    | ~ spl0_9
    | ~ spl0_201
    | ~ spl0_370
    | ~ spl0_1
    | spl0_195 ),
    inference(rat,[],[s3710,s6964,s5950,s2219,s4766]) ).

cnf(s9117,plain,
    ( spl0_206
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4072,s3933,s2151,s8880,s4828,s3755,s5062,s7382,s7380,s5143,s5520,s10,s1786,s1724,s5102,s7381,s3577,s3866,s9116,s3563,s67,s6032,s24,s6120,s5642,s1653,s1690,s9026,s6467,s9108,s1872,s6963,s9110,s8653,s9091,s2524,s9115]) ).

cnf(s9118,plain,
    ( ~ spl0_100
    | spl0_103
    | ~ spl0_51
    | spl0_38
    | spl0_31 ),
    inference(rat,[],[s5565,s160]) ).

cnf(s9119,plain,
    ( ~ spl0_315
    | ~ spl0_367
    | spl0_323
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4962,s5012,s186,s131,s9118,s5503,s3273,s7380,s6956,s8242,s5520,s7681,s142,s10,s4072,s9105,s1786,s3755,s1212,s2219,s3539,s53,s7382,s2509,s2979,s3259,s5022,s3176,s7337,s3710,s5298,s1241,s6270,s2721,s6659,s8687,s1690,s9026,s6467,s2524,s9115,s3841,s2151,s6957,s5120,s1872,s5522,s2833,s1208,s3296,s5126,s8653,s9091,s6963,s9110,s9117,s4505,s3970,s9108]) ).

cnf(s9120,plain,
    ( spl0_315
    | ~ spl0_307
    | spl0_323
    | ~ spl0_305
    | spl0_31
    | ~ spl0_192
    | ~ spl0_365
    | ~ spl0_32 ),
    inference(rat,[],[s3011,s1241,s3587,s3981,s7789,s6962]) ).

cnf(s9121,plain,
    ( ~ spl0_200
    | ~ spl0_372
    | spl0_346
    | ~ spl0_303
    | ~ spl0_99
    | spl0_327
    | ~ spl0_377
    | spl0_383
    | ~ spl0_341
    | ~ spl0_4
    | ~ spl0_315
    | ~ spl0_301
    | ~ spl0_198
    | ~ spl0_206
    | ~ spl0_192
    | ~ spl0_365
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4540,s307,s2024,s3882,s4499,s6036,s8241,s6031,s2755,s5012,s142,s9105,s1212,s2219,s8653,s5126,s186]) ).

cnf(s9122,plain,
    ( ~ spl0_95
    | ~ spl0_414
    | spl0_346
    | spl0_274
    | ~ spl0_303
    | ~ spl0_90
    | ~ spl0_99
    | spl0_327
    | ~ spl0_341
    | ~ spl0_4
    | ~ spl0_301
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(rat,[],[s3782,s171,s1664,s4978,s307,s2755,s4262,s5012]) ).

cnf(s9123,plain,
    ( spl0_323
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s4978,s171,s6063,s285,s142,s9122,s2510,s9121,s7389,s3199,s2488,s6956,s186,s7681,s8245,s4072,s5040,s2105,s3755,s7382,s5143,s10,s1798,s1786,s1724,s4504,s3073,s2979,s4644,s7337,s5298,s7381,s1241,s6270,s9119,s2721,s9120,s1200,s6957,s5120,s2151,s6659,s17,s8687,s1690,s9026,s6467,s9108,s1872,s2524,s9115,s3841,s1208,s3296,s5126,s9117,s8653,s9091,s6963,s9110]) ).

cnf(s9124,plain,
    ( ~ spl0_315
    | ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2257,s171,s4962,s3867,s186,s131,s9118,s3273,s8242,s53,s142,s5008,s9105,s67,s1212,s3695,s2219,s2509,s8562,s7381,s2105,s9022,s2291,s7337,s4961,s3907,s3755,s7382,s7380,s5143,s5520,s10,s1786,s1724,s3539,s1798,s4504,s2979,s5298,s6270,s2721,s8687,s1690,s9026,s6467,s9108,s2524,s9115,s3841,s3296,s5126,s9117,s8653,s6963,s9110,s4828,s9123,s9091]) ).

cnf(s9125,plain,
    ( ~ spl0_365
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s5520,s10,s7380,s1786,s3972,s3539,s3587,s1798,s7789,s6691,s6962,s9124,s4828,s9123,s1208,s3296,s5126,s9117,s2524,s9115,s6963,s9110,s6467,s9108,s1690,s9026,s8653,s9091]) ).

cnf(s9126,plain,
    ( spl0_223
    | spl0_9
    | ~ spl0_366
    | spl0_11
    | spl0_195
    | spl0_371 ),
    inference(rat,[],[s9050,s2693,s8657,s8653]) ).

cnf(s9127,plain,
    ( ~ spl0_323
    | ~ spl0_346
    | spl0_343
    | spl0_466
    | spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5298,s2291,s37,s2081,s4863,s4860,s4828,s8687,s8653]) ).

cnf(s9128,plain,
    ( ~ spl0_196
    | spl0_370
    | ~ spl0_23
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2833,s3259,s1208,s7381,s5298,s2002,s4726,s6306,s5141,s5120,s2151,s9127,s9086,s3014,s7380,s3276,s3768,s8687,s2952,s7383,s3539,s6956,s6115,s1690,s6957,s6105,s10,s1982,s2295,s1840,s9050,s6467,s9126,s24,s7378,s9125,s8653,s9091,s1688,s9026]) ).

cnf(s9129,plain,
    ( spl0_370
    | ~ spl0_31
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7337,s3673,s5123,s9086,s7380,s3605,s5578,s2535,s6466,s6449,s37,s5523,s2197,s6333,s5630,s3154,s3970,s7381,s5102,s1653,s5126,s9128,s6957,s6956,s6105,s6115,s10,s1982,s6964,s2295,s7383,s1840,s3539,s9050,s1688,s1679,s6659,s8687,s1690,s2952,s8653,s6467,s9126,s24,s5018,s7378,s9125,s9026,s9091]) ).

cnf(s9130,plain,
    ( ~ spl0_31
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s8535,s37,s2977,s3863,s4860,s5297,s3072,s8484,s3695,s681,s8678,s4828,s5040,s7382,s7380,s5143,s5520,s10,s1786,s1724,s1208,s1840,s4686,s3296,s3841,s5126,s5642,s9129,s6467,s9126,s24,s5018,s1690,s9026,s8653,s9091,s7378,s9125]) ).

cnf(s9131,plain,
    ( ~ spl0_196
    | ~ spl0_9
    | spl0_223
    | ~ spl0_41
    | spl0_31
    | ~ spl0_366
    | spl0_11
    | ~ spl0_436
    | spl0_371 ),
    inference(rat,[],[s7338,s2045,s8763,s9086,s7380,s4027,s5712,s2151,s4828,s3271,s3276,s6956,s6957,s6115,s6105,s10,s2718,s1688,s1982,s5226,s1872,s2219,s4686,s4865,s1690,s8653,s1308,s1835]) ).

cnf(s9132,plain,
    ( spl0_223
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s5581,s3501,s6240,s8899,s1798,s3154,s10,s5630,s1982,s6964,s9048,s6333,s5522,s7381,s6200,s5226,s1831,s9050,s1872,s6149,s1997,s1653,s5126,s5127,s9131,s67,s24,s9126,s1835,s6659,s8687,s9026,s2952,s8653,s9091,s7378,s9125,s280,s9130]) ).

cnf(s9133,plain,
    ( spl0_370
    | ~ spl0_196
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s7337,s5712,s2045,s2151,s9127,s3014,s9086,s7380,s3276,s3768,s6957,s6956,s6105,s6115,s10,s1982,s2295,s7383,s1840,s3539,s9050,s1688,s1690,s9026,s2952,s8653,s7378,s9125,s280,s9130,s6467,s9132,s9091]) ).

cnf(s9134,plain,
    ( ~ spl0_196
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2081,s4860,s2140,s9104,s7681,s6957,s4961,s3887,s4828,s6955,s5040,s3755,s3768,s7382,s7380,s5143,s5520,s10,s1786,s1724,s1208,s1840,s3296,s3841,s9133,s4686,s6659,s8687,s1690,s9026,s8653,s7378,s9125,s2524,s9130,s6467,s9132,s9091]) ).

cnf(s9135,plain,
    ( spl0_323
    | spl0_370
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s6855,s8742,s7337,s7380,s1241,s8674,s3204,s2151,s2524,s9130,s6956,s6115,s10,s1982,s1690,s3011,s6333,s5630,s3154,s2952,s7383,s3539,s6964,s2295,s1840,s7381,s5102,s9050,s7378,s9125,s9026,s8653,s1653,s5126,s9134,s6467,s9132,s9091]) ).

cnf(s9136,plain,
    ( spl0_370
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s2081,s4860,s2832,s9086,s3950,s7380,s7382,s4868,s3887,s4828,s9135,s44,s72,s3580,s3011,s6957,s6333,s6105,s5630,s10,s3154,s1982,s6964,s7381,s2295,s7383,s5102,s1840,s3539,s9050,s1688,s1690,s9026,s2952,s8653,s7378,s9125,s9130,s6467,s9132,s76,s3589,s1653,s5126,s9134,s9091]) ).

cnf(s9137,plain,
    ( ~ spl0_304
    | ~ spl0_301
    | spl0_323
    | spl0_315
    | ~ spl0_345
    | spl0_31 ),
    inference(rat,[],[s2680,s5609,s1241,s3933,s6101,s5014,s5004,s6962]) ).

cnf(s9138,plain,
    ( spl0_323
    | spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s37,s3555,s6173,s3716,s2696,s8742,s9086,s7380,s8674,s6956,s9137,s5739,s6957,s3204,s6201,s2151,s6659,s8687,s1690,s9026,s2952,s7378,s9125,s2524,s6467,s9132,s5127,s6962,s6120,s1872,s9136,s8653,s1653,s5126,s9134,s9091,s9130]) ).

cnf(s9139,plain,
    ( spl0_195
    | ~ spl0_24 ),
    inference(rat,[],[s7383,s3539,s6682,s6976,s7381,s8529,s5062,s3972,s7380,s9086,s2651,s4828,s9138,s6962,s6120,s5642,s1872,s9136,s1653,s5126,s9134,s6467,s9132,s2524,s9130,s8653,s9091,s2952,s1690,s9026]) ).

cnf(s9140,plain,
    ( ~ spl0_193
    | spl0_323
    | ~ spl0_196
    | spl0_370
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6592,s6101,s5503,s5409,s6957,s1982,s7380,s3276,s10,s5843,s6306,s5370,s8962,s1831,s5225,s6259,s9139,s8034,s7314,s8687,s1688,s2151]) ).

cnf(s9141,plain,
    ( spl0_193
    | ~ spl0_196
    | spl0_370
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s10,s5370,s1982,s3500,s4437,s2444,s3481,s6205,s7191,s3314,s1835,s9139,s4221,s4301,s8034,s7314,s8687,s1688]) ).

cnf(s9142,plain,
    ( ~ spl0_196
    | spl0_370
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1982,s4437,s10,s4708,s5370,s6791,s1831,s9140,s6259,s9141,s9139,s4301,s8034,s7314,s8687,s1688]) ).

cnf(s9143,plain,
    ( spl0_370
    | ~ spl0_365
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7524,s3695,s67,s3584,s2223,s5524,s4397,s6205,s8271,s8270,s5847,s5127,s9142,s3984,s6343,s4301,s8034,s7314,s8687,s9139]) ).

cnf(s9144,plain,
    ( ~ spl0_196
    | ~ spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s4326,s1653,s3296,s4766,s5950,s8034,s7314,s8687]) ).

cnf(s9145,plain,
    ( spl0_192
    | spl0_196
    | ~ spl0_370
    | ~ spl0_365
    | ~ spl0_1
    | ~ spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s67,s2223,s24,s4397,s5642,s6260,s6919,s7381,s3584,s8180,s9139,s5127,s5847]) ).

cnf(s9146,plain,
    ( ~ spl0_192
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6205,s5524,s3865,s6343,s4301,s8034,s7314,s8687,s9139]) ).

cnf(s9147,plain,
    ( ~ spl0_365
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s9145,s9144,s9143,s8034,s7314,s8687,s9146]) ).

cnf(s9149,plain,
    ( spl0_223
    | spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6468,s681,s6822,s6927,s1982,s2154,s10,s8556,s1724,s1831,s4299,s6259,s1835,s9026,s9139,s4301,s8034,s7314,s8687,s7378,s9147]) ).

cnf(s9150,plain,
    ( spl0_370
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6820,s6927,s1982,s2154,s10,s8556,s1724,s6182,s3500,s4662,s2444,s5949,s6205,s6810,s9149,s9026,s4301,s8687,s2733,s7378,s9147,s538,s9139]) ).

cnf(s9151,plain,
    ( ~ spl0_14
    | ~ spl0_443
    | ~ spl0_206
    | ~ spl0_193
    | spl0_417
    | spl0_323
    | spl0_196
    | spl0_383
    | ~ spl0_370
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s8516,s6956,s6957,s7926,s7601,s2678,s5609,s7380,s7684,s5520,s1690,s9026,s9139,s5127,s5225]) ).

cnf(s9152,plain,
    ( spl0_223
    | ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6822,s6954,s2154,s10,s9151,s6964,s1212,s5635,s4326,s7190,s1653,s6149,s1835,s9026,s4221,s4122,s6949,s9144,s6173,s8957,s1872,s9150,s8034,s7314,s7378,s9147,s4301,s8687]) ).

cnf(s9153,plain,
    ( ~ spl0_31
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8598,s2690,s7381,s6260,s6205,s9152,s5127,s9144,s9150,s1870,s9146,s9139]) ).

cnf(s9154,plain,
    ( spl0_1
    | ~ spl0_196
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s51,s10,s41,s7763,s4134,s7225,s2279,s5672,s6398,s8034,s1,s8687,s9026,s280,s9153]) ).

cnf(s9155,plain,
    ( spl0_223
    | ~ spl0_196
    | ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3825,s7663,s6961,s3587,s6691,s6962,s2721,s6270,s8869,s7383,s3646,s1998,s6307,s1835,s538,s9139,s2524,s280,s9153,s1688,s9154]) ).

cnf(s9156,plain,
    ( ~ spl0_200
    | ~ spl0_223
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2444,s3587,s3500,s7789,s6962,s7235,s2536,s1798,s37,s1208,s6468,s8818,s4437,s3825,s681,s9139,s2524,s280,s9153,s1653,s4708,s3017]) ).

cnf(s9157,plain,
    ( ~ spl0_196
    | ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6552,s5836,s7382,s3016,s7381,s2309,s2151,s3579,s5141,s2721,s3276,s6259,s6270,s6957,s5672,s1831,s6956,s6105,s7763,s5370,s6115,s10,s1982,s9156,s3017,s9155,s9154,s6659,s8687,s1690,s9026,s9139,s2524,s9153,s1688]) ).

cnf(s9158,plain,
    ( spl0_1
    | ~ spl0_393
    | ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1653,s8818,s7225,s8394,s8034,s2524,s280,s9153,s9157]) ).

cnf(s9159,plain,
    ( spl0_223
    | ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8818,s1653,s7663,s6919,s3584,s5524,s6343,s37,s8869,s9158,s7383,s3646,s1998,s6307,s1835,s538,s9139,s2524,s280,s9153,s1688,s5127,s9157]) ).

cnf(s9160,plain,
    ( spl0_1
    | spl0_570
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s41,s51,s4134,s10,s2279,s6398,s6139,s8034,s1,s8687,s9026,s280,s9153]) ).

cnf(s9161,plain,
    ( ~ spl0_200
    | ~ spl0_1
    | spl0_206
    | ~ spl0_345
    | ~ spl0_365
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s8190,s2536,s1208,s6468,s3306,s681,s9139,s2524,s280,s1653]) ).

cnf(s9162,plain,
    ( ~ spl0_365
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s9069,s7382,s4477,s5040,s67,s7304,s3275,s3605,s37,s8178,s3579,s3821,s7381,s6957,s2631,s1831,s6956,s5102,s3865,s6105,s5370,s6115,s3584,s10,s7663,s1982,s9161,s9160,s1653,s3017,s9159,s7147,s5127,s9157,s6659,s8687,s1690,s9026,s538,s9139,s9153,s1688]) ).

cnf(s9163,plain,
    ( ~ spl0_193
    | ~ spl0_196
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7344,s2721,s8872,s8252,s7225,s7304,s7383,s6259,s1998,s9026,s9139,s280,s9153,s4686,s7378,s9162]) ).

cnf(s9164,plain,
    ( ~ spl0_4
    | spl0_206
    | ~ spl0_196
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s10,s9055,s3204,s7763,s7235,s7304,s5672,s9026,s2524,s280,s9153,s7378,s9162,s1835,s9163]) ).

cnf(s9165,plain,
    ( spl0_206
    | ~ spl0_196
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6365,s7382,s7380,s2309,s3016,s5141,s9036,s3276,s6957,s6956,s6105,s6115,s10,s1982,s5515,s4437,s37,s9164,s4708,s1690,s9026,s1688,s2733,s7378,s9162,s538,s9139,s9154,s1835,s9163]) ).

cnf(s9166,plain,
    ( ~ spl0_200
    | spl0_387
    | ~ spl0_38
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_41
    | ~ spl0_11
    | spl0_371 ),
    inference(rat,[],[s6592,s8700,s6712,s5503,s2045,s6765,s1922,s2154,s10,s8556,s1724,s5975,s2219,s7225]) ).

cnf(s9167,plain,
    ( ~ spl0_196
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5120,s3016,s3271,s7380,s8724,s2675,s7382,s3580,s6228,s6957,s6956,s6105,s6115,s10,s1982,s9166,s5999,s7381,s6774,s5515,s6270,s37,s7225,s9165,s1835,s9163,s9154,s1690,s9026,s2524,s280,s9153,s1688,s2733,s7378,s9162,s538,s9139]) ).

cnf(s9168,plain,
    ( spl0_206
    | spl0_223
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6553,s9069,s5850,s3204,s7381,s7304,s6200,s6259,s1831,s6956,s6976,s6115,s8556,s10,s1982,s681,s6468,s1690,s9026,s9160,s7147,s9167,s4299,s7378,s9162,s1998,s1835,s280,s3646,s6307,s538,s9139,s2524,s9153]) ).

cnf(s9169,plain,
    ( spl0_223
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5290,s5291,s6181,s7380,s7382,s5843,s2145,s3580,s6957,s7601,s5609,s4860,s2154,s10,s8556,s1870,s67,s1724,s5524,s6461,s1831,s6343,s3820,s6259,s37,s7225,s9168,s8452,s7383,s3646,s1998,s6307,s1835,s9026,s2524,s280,s9153,s2733,s7378,s9162,s538,s9139,s5127,s9160,s7147,s9167]) ).

cnf(s9170,plain,
    ( ~ spl0_4
    | spl0_206
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s9069,s7382,s7381,s3011,s5040,s5102,s3865,s9036,s6957,s6956,s458,s6105,s6115,s6393,s10,s9055,s1831,s3204,s7235,s2279,s7304,s6659,s8687,s1690,s9026,s9139,s2524,s280,s9153,s1688,s7378,s9162,s9160,s7147,s9167,s9169,s1653]) ).

cnf(s9171,plain,
    ( ~ spl0_200
    | spl0_206
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6552,s3016,s3339,s5144,s2472,s6283,s6956,s6926,s4860,s2154,s10,s8484,s8556,s2536,s1208,s1724,s6468,s3306,s5975,s681,s9026,s9139,s2524,s280,s9153,s7378,s9162,s5127,s9160,s7147,s9167,s9169,s1653,s4144,s37,s9170]) ).

cnf(s9172,plain,
    ( spl0_206
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2309,s7382,s2103,s6365,s4866,s7380,s3016,s9036,s3821,s6259,s2631,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s1982,s9171,s37,s9170,s1653,s1690,s9026,s538,s9139,s1688,s7378,s9162,s9160,s7147,s9167,s9169]) ).

cnf(s9173,plain,
    ( ~ spl0_383
    | ~ spl0_198
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_195 ),
    inference(rat,[],[s6550,s6774,s5999,s1840,s5975]) ).

cnf(s9174,plain,
    ( ~ spl0_200
    | spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6815,s3011,s7544,s8724,s7382,s2145,s6957,s7601,s5609,s7006,s7337,s4860,s3673,s2045,s6173,s3204,s6765,s2154,s10,s8556,s1724,s9173,s2295,s6659,s17,s8687,s9026,s280,s2733,s7378,s9162,s538,s9139,s5127,s9160,s7147,s9167,s9169,s6270,s2524,s4146,s37,s7225,s9172,s9153]) ).

cnf(s9176,plain,
    ( ~ spl0_83
    | spl0_94
    | spl0_184
    | ~ spl0_306
    | ~ spl0_100
    | ~ spl0_392
    | ~ spl0_362
    | ~ spl0_51
    | ~ spl0_41
    | ~ spl0_24 ),
    inference(rat,[],[s55,s7294,s139,s3634,s950,s5124,s313,s6969,s114,s5979,s2544,s6659,s8687,s538,s9139,s142]) ).

cnf(s9179,plain,
    ( spl0_274
    | ~ spl0_110
    | ~ spl0_100
    | ~ spl0_505
    | ~ spl0_522
    | ~ spl0_360
    | spl0_31 ),
    inference(rat,[],[s2389,s2653,s319,s5153,s3118,s7390]) ).

cnf(s9180,plain,
    ( spl0_94
    | spl0_122
    | ~ spl0_306
    | ~ spl0_100
    | ~ spl0_392
    | ~ spl0_505
    | ~ spl0_522
    | ~ spl0_360
    | ~ spl0_362
    | ~ spl0_51
    | ~ spl0_383
    | spl0_31
    | ~ spl0_24 ),
    inference(rat,[],[s55,s7294,s139,s3634,s950,s3513,s9179,s171,s9176,s6659,s8687,s538,s9139,s280,s2633,s2524]) ).

cnf(s9181,plain,
    ( spl0_370
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s9179,s4314,s3807,s9180,s4452,s2140,s7596,s2718,s6855,s6447,s9053,s5289,s6444,s2680,s3016,s6181,s6865,s8724,s7380,s7382,s2675,s6228,s7381,s53,s6774,s5030,s7383,s3821,s3580,s3500,s2631,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s1982,s9174,s67,s6461,s4146,s3820,s6270,s37,s7225,s9172,s9169,s9160,s7147,s9167,s7378,s9162,s1688,s1690,s9026,s538,s9139,s2524,s9153]) ).

cnf(s9182,plain,
    ( ~ spl0_14
    | ~ spl0_443
    | spl0_383
    | ~ spl0_368
    | ~ spl0_366
    | spl0_371 ),
    inference(rat,[],[s5027,s6957,s6955,s4866,s5222,s2105,s7380,s7382,s5520,s5143,s1690,s1724]) ).

cnf(s9183,plain,
    ( spl0_323
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s6955,s3673,s2046,s2696,s6173,s3204,s2151,s2524,s280,s1208,s5635,s4146,s9153,s9181]) ).

cnf(s9184,plain,
    ( ~ spl0_368
    | ~ spl0_206
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6788,s9183,s2154,s10,s9182,s37,s2827,s6964,s4122,s6257,s5999,s9026,s9139,s9181]) ).

cnf(s9185,plain,
    ( ~ spl0_1
    | ~ spl0_192
    | spl0_368
    | ~ spl0_223
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_195 ),
    inference(rat,[],[s37,s6343,s7235,s3075,s2682,s7227,s2681,s1910]) ).

cnf(s9186,plain,
    ( ~ spl0_206
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3072,s681,s4284,s2827,s7235,s7955,s9185,s1910,s6774,s7381,s9184,s9139,s9181]) ).

cnf(s9187,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7616,s2154,s10,s9182,s7381,s1794,s2223,s5127,s4122,s5635,s6964,s4766,s4144,s4146,s6402,s5950,s37,s9026,s2524,s280,s9153,s1653,s1872,s1910,s9139,s67,s22,s24,s5642,s9186,s9181]) ).

cnf(s9188,plain,
    ( ~ spl0_1
    | ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s2688,s3549,s2718,s2444,s7315,s1798,s5289,s3203,s7380,s5100,s5222,s5127,s6956,s3498,s7764,s2690,s3158,s681,s6396,s6960,s7381,s3072,s6957,s9088,s5999,s2052,s4284,s6201,s1742,s8583,s7235,s7304,s9187,s1870,s67,s6962,s1308,s1910,s24,s6120,s6269,s5642,s1872,s9026,s9139,s9153,s9181,s1653,s9186]) ).

cnf(s9189,plain,
    ( ~ spl0_223
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7321,s6724,s6201,s6120,s8723,s7337,s1208,s6497,s2052,s6461,s4122,s3204,s2151,s7148,s7146,s7235,s7304,s9160,s8034,s9188,s1653,s9186,s8687,s9026,s2524,s9153,s9181]) ).

cnf(s9190,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_206
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s3041,s6955,s9183,s2696,s2154,s10,s9182,s6964,s6257,s7381,s8357,s1208,s5635,s1831,s4146,s6259,s37,s9026,s9181,s8452,s3646,s6307,s538,s2524,s7383,s1998,s1835,s9189,s280,s9153,s9139]) ).

cnf(s9191,plain,
    ( spl0_192
    | ~ spl0_391
    | ~ spl0_367
    | ~ spl0_345
    | ~ spl0_393 ),
    inference(rat,[],[s3590,s4433,s1870]) ).

cnf(s9192,plain,
    ( ~ spl0_200
    | ~ spl0_393
    | spl0_392
    | ~ spl0_366
    | ~ spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s1212,s5635,s2122,s6961,s6682,s8357,s7381,s6257,s9139]) ).

cnf(s9193,plain,
    ( ~ spl0_206
    | ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s9190,s8034,s2827,s9192,s7383,s1998,s1835,s280,s3646,s6307,s9189,s538,s9139,s2524,s9153,s9181]) ).

cnf(s9194,plain,
    ( ~ spl0_366
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s7681,s7337,s1208,s2045,s2002,s4954,s3204,s7926,s7148,s7146,s7304,s6955,s9160,s8034,s8454,s1872,s6149,s1653,s9193,s6964,s9192,s8452,s7383,s3646,s1998,s6307,s1835,s9189,s8687,s1690,s9026,s538,s9139,s2524,s280,s9153,s9181]) ).

cnf(s9195,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s1905,s3584,s2721,s7594,s7610,s1208,s5524,s5635,s6343,s4146,s6270,s37,s2524,s9181,s7383,s1998,s1835,s3017,s7378,s9194,s280,s9153,s9139]) ).

cnf(s9196,plain,
    ( spl0_196
    | spl0_192
    | ~ spl0_206
    | ~ spl0_365 ),
    inference(rat,[],[s3584,s6919,s5127]) ).

cnf(s9197,plain,
    ( ~ spl0_196
    | ~ spl0_1
    | ~ spl0_393
    | spl0_392
    | ~ spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s8357,s7381,s1208,s4644,s3296,s539,s9139]) ).

cnf(s9198,plain,
    ( ~ spl0_14
    | spl0_383
    | ~ spl0_192
    | ~ spl0_348
    | spl0_223
    | spl0_371 ),
    inference(rat,[],[s3755,s5805,s7382,s7380,s5143,s5520,s1690,s1724]) ).

cnf(s9199,plain,
    ( ~ spl0_1
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5248,s2387,s513,s139,s2317,s269,s10,s9198,s53,s5008,s3315,s67,s7364,s1212,s3695,s1948,s2693,s2122,s1910,s3587,s9196,s6919,s9197,s8818,s2151,s8509,s2827,s7304,s9195,s9026,s9181,s3646,s6307,s538,s2524,s7383,s1998,s1835,s3017,s7378,s9194,s280,s9153,s9139]) ).

cnf(s9200,plain,
    ( ~ spl0_206
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6861,s8787,s7337,s458,s6497,s41,s6461,s2151,s4134,s7148,s7146,s2279,s7304,s6398,s9160,s8034,s1,s9199,s7383,s1998,s1835,s3017,s8687,s9026,s9139,s280,s9153,s7378,s9194]) ).

cnf(s9201,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s5312,s6034,s2223,s8818,s5127,s7383,s4644,s6260,s7381,s67,s9065,s1910,s24,s6120,s5642,s1872,s539,s6659,s8687,s9139,s2524,s280,s9153,s9181,s7378,s9194,s1653,s9200]) ).

cnf(s9202,plain,
    ( ~ spl0_305
    | ~ spl0_393
    | ~ spl0_421
    | spl0_493
    | ~ spl0_23
    | ~ spl0_360
    | ~ spl0_201
    | ~ spl0_365
    | spl0_31 ),
    inference(rat,[],[s6120,s8723,s6691]) ).

cnf(s9203,plain,
    ( ~ spl0_368
    | spl0_200
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8453,s6957,s8452,s6201,s6120,s2444,s2002,s5635,s6961,s9202,s7383,s6260,s9139,s9181,s7378,s9194,s1653,s9200,s3204,s2524,s7337,s6497,s6461,s7148,s8687,s9153,s2151,s7304,s8034,s7146,s9160,s9201,s9026]) ).

cnf(s9205,plain,
    ( ~ spl0_200
    | ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s6593,s6201,s6724,s8723,s2536,s1208,s6468,s3306,s681,s280,s1653,s9200,s3204,s2524,s7337,s6497,s6461,s7148,s8687,s9153,s2151,s7304,s8034,s7146,s9160,s9201,s9026]) ).

cnf(s9206,plain,
    ( ~ spl0_11
    | ~ spl0_24 ),
    inference(rat,[],[s8723,s1208,s6120,s8731,s3579,s7381,s9203,s9205,s7337,s6497,s6461,s3204,s2151,s7148,s7146,s7304,s9160,s8034,s9201,s1653,s9200,s7378,s9194,s280,s2524,s9153,s6659,s8687,s9026]) ).

cnf(s9207,plain,
    ( spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s5290,s5291,s6181,s7380,s7382,s5805,s5850,s2151,s7383,s4828,s1998,s3276,s3271,s280,s6957,s6956,s5018,s67,s6105,s6115,s24,s10,s8658,s1982,s1690,s9026,s9139,s1688,s4686,s1870,s1835,s4865,s6467,s9206]) ).

cnf(s9208,plain,
    ( spl0_31
    | spl0_323
    | ~ spl0_346
    | ~ spl0_193
    | spl0_386
    | ~ spl0_24 ),
    inference(rat,[],[s7338,s2045,s8787,s280,s9139]) ).

cnf(s9209,plain,
    ( spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s4263,s3790,s5282,s186,s6795,s267,s142,s9105,s5168,s4191,s6962,s3695,s5018,s9208,s6298,s3664,s7380,s7382,s6704,s5850,s2151,s5380,s3692,s6955,s5503,s1922,s2154,s10,s8556,s4,s1724,s2979,s8,s2693,s3825,s2219,s2295,s9207,s5298,s6259,s6307,s1835,s4385,s6467,s8687,s1690,s9026,s538,s9139,s8653,s4686,s5126,s9206]) ).

cnf(s9210,plain,
    ( ~ spl0_14
    | spl0_323
    | ~ spl0_223
    | ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s67,s2002,s3203,s6961,s5289,s2833,s7380,s7381,s3271,s8674,s4726,s6956,s8275,s6115,s1690,s9026,s1688,s1910,s7383,s3259,s5298,s37,s5515,s2733,s538,s8687,s6181,s7382,s5040,s4686,s5126,s3865,s9209,s8653,s9206,s9139]) ).

cnf(s9211,plain,
    ( spl0_31
    | ~ spl0_305
    | ~ spl0_304
    | ~ spl0_346
    | spl0_323
    | ~ spl0_313
    | ~ spl0_24 ),
    inference(rat,[],[s4819,s2193,s3673,s2045,s3204,s280,s2524,s6659,s17,s8687]) ).

cnf(s9212,plain,
    ( ~ spl0_395
    | ~ spl0_87
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s186,s131,s3790,s4969,s9139,s8653,s9206]) ).

cnf(s9213,plain,
    ( spl0_323
    | ~ spl0_223
    | ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s6646,s5447,s164,s5248,s1342,s2458,s6241,s7334,s9212,s4540,s513,s267,s142,s9105,s5168,s4191,s2977,s6234,s6962,s6470,s2718,s3695,s4477,s5018,s9211,s5380,s2979,s1208,s6955,s3825,s2295,s5503,s1982,s2154,s10,s9210,s2234,s7382,s5040,s2151,s6659,s17,s1690,s9026,s1688,s4686,s1910,s3865,s8653,s5298,s37,s5515,s9209,s5126,s9206,s2733,s538,s9139,s8687]) ).

cnf(s9214,plain,
    ( spl0_395
    | ~ spl0_95
    | spl0_493
    | ~ spl0_526
    | ~ spl0_438
    | ~ spl0_362
    | spl0_466
    | ~ spl0_327
    | ~ spl0_306
    | ~ spl0_364
    | ~ spl0_360 ),
    inference(rat,[],[s5447,s171,s131,s5945,s4972,s6543,s2911,s5281,s6241,s4263,s7334]) ).

cnf(s9215,plain,
    ( ~ spl0_90
    | spl0_171
    | ~ spl0_395
    | ~ spl0_51
    | ~ spl0_37
    | ~ spl0_192 ),
    inference(rat,[],[s335,s3878]) ).

cnf(s9216,plain,
    ( ~ spl0_95
    | spl0_493
    | ~ spl0_568
    | ~ spl0_51
    | ~ spl0_526
    | ~ spl0_37
    | ~ spl0_438
    | ~ spl0_362
    | spl0_466
    | ~ spl0_327
    | ~ spl0_306
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_196
    | spl0_11 ),
    inference(rat,[],[s186,s9215,s3952,s5841,s131,s4969,s9214]) ).

cnf(s9217,plain,
    ( ~ spl0_94
    | spl0_47
    | ~ spl0_341
    | ~ spl0_389
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_24 ),
    inference(rat,[],[s5140,s4978,s4974,s186,s171,s131,s4314,s1948,s8653,s9206,s1910,s9139]) ).

cnf(s9218,plain,
    ( ~ spl0_395
    | ~ spl0_95
    | ~ spl0_568
    | ~ spl0_51
    | ~ spl0_37
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_196
    | spl0_11 ),
    inference(rat,[],[s3952,s9215,s5841,s186,s131,s4969]) ).

cnf(s9219,plain,
    ( spl0_31
    | ~ spl0_362
    | spl0_309
    | spl0_466
    | ~ spl0_327
    | ~ spl0_364
    | ~ spl0_323
    | ~ spl0_223
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s186,s131,s335,s160,s2898,s3952,s6241,s7334,s9218,s9216,s142,s9217,s3663,s4,s53,s8,s5030,s6498,s67,s3011,s2444,s4477,s2718,s4208,s2977,s4279,s6445,s7006,s4961,s2524,s1910,s3259,s4828,s2291,s2979,s5298,s37,s5515,s5126,s2733,s538,s2234,s17,s8687,s1690,s9026,s5506,s9127,s3014,s7383,s3865,s8653,s9139,s9206]) ).

cnf(s9220,plain,
    ( spl0_200
    | ~ spl0_223
    | ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s5115,s142,s4964,s285,s3966,s8680,s186,s131,s8679,s2680,s3933,s2977,s5113,s6470,s4477,s5018,s9219,s9127,s7382,s3717,s3276,s3887,s5100,s2291,s6957,s6956,s3014,s6105,s6115,s7380,s10,s8678,s1982,s1690,s9026,s1688,s1910,s7383,s3865,s8653,s5298,s37,s5515,s9209,s5126,s2733,s538,s9139,s8687,s4828,s9213,s9206]) ).

cnf(s9221,plain,
    ( ~ spl0_223
    | ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s4662,s8484,s8452,s4860,s2154,s10,s8556,s1724,s1208,s9173,s3825,s2295,s9220,s4828,s9213,s9026,s5126,s2733,s538,s7383,s3865,s9209,s8653,s9206,s9139]) ).

cnf(s9222,plain,
    ( ~ spl0_366
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s5018,s5226,s4477,s8357,s1208,s7381,s3825,s4726,s8658,s4865,s1835,s9221,s7383,s3865,s1910,s9209,s4686,s9026,s9139,s8653,s5126,s9206]) ).

cnf(s9223,plain,
    ( spl0_200
    | spl0_323
    | ~ spl0_223
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s5115,s142,s4962,s2490,s7587,s6969,s7389,s5325,s6462,s186,s2275,s131,s7380,s9118,s5289,s53,s2524,s3203,s2493,s5018,s67,s3734,s4477,s2979,s9069,s5298,s6181,s3605,s2721,s37,s7382,s3579,s3821,s5040,s7381,s3271,s2631,s1831,s4726,s6957,s6956,s5370,s8275,s6105,s6115,s8326,s10,s7663,s1982,s6659,s8687,s1690,s9026,s538,s539,s5126,s1688,s1910,s4504,s7383,s3865,s6467,s8653,s9206,s9139,s7378,s9222,s2151]) ).

cnf(s9224,plain,
    ( spl0_309
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s6270,s2524,s2721,s5018,s5298,s6691,s9113,s2979,s1208,s8687,s5126,s4504,s7383,s3865,s6467,s8653,s9206,s9139]) ).

cnf(s9225,plain,
    ( spl0_31
    | ~ spl0_367
    | ~ spl0_343
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_544
    | ~ spl0_309
    | ~ spl0_223
    | ~ spl0_365
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s7294,s55,s285,s253,s171,s1664,s2257,s335,s4964,s3805,s3617,s8277,s186,s131,s9118,s53,s5030,s67,s3780,s2524,s539,s3865,s9139,s8326,s6467,s2721,s3579,s3825,s8653,s9206,s6659,s8687]) ).

cnf(s9226,plain,
    ( ~ spl0_223
    | spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s2257,s171,s4999,s4856,s3617,s9,s8277,s8,s186,s4,s131,s3663,s8276,s5701,s5018,s9225,s3579,s7381,s2105,s7382,s2902,s2291,s3259,s5298,s37,s7337,s3821,s3718,s5100,s2631,s6957,s6956,s5370,s6105,s6115,s4828,s10,s9223,s7663,s1982,s3825,s9224,s3865,s1910,s6467,s6659,s8687,s1690,s9026,s538,s539,s8653,s9139,s5126,s9206,s1688,s7378,s9222]) ).

cnf(s9227,plain,
    ( ~ spl0_14
    | spl0_323
    | spl0_223
    | ~ spl0_365
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s4279,s4208,s7006,s5506,s2718,s5712,s9208,s5226,s7380,s5018,s5805,s24,s3276,s2693,s1831,s6957,s5370,s6105,s1690,s9026,s8653,s9206,s1835,s2151]) ).

cnf(s9228,plain,
    ( spl0_323
    | spl0_223
    | ~ spl0_365
    | spl0_370
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s3587,s7789,s6962,s3695,s4477,s5018,s9211,s1208,s6955,s3825,s5503,s1982,s2154,s10,s9227,s9026,s9139,s8653,s9206,s1688]) ).

cnf(s9229,plain,
    ( ~ spl0_14
    | ~ spl0_360
    | spl0_223
    | ~ spl0_365
    | ~ spl0_313
    | ~ spl0_196
    | ~ spl0_24 ),
    inference(rat,[],[s4279,s7006,s4208,s2718,s4961,s5506,s5226,s2524,s7380,s5018,s5050,s2651,s24,s3276,s2693,s1831,s6957,s5370,s6105,s1690,s9026,s8653,s9206,s1835]) ).

cnf(s9230,plain,
    ( spl0_370
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s6498,s5018,s8,s3695,s4,s8484,s3692,s1208,s6955,s3825,s4860,s2651,s5503,s1982,s2154,s10,s9229,s4828,s9228,s9226,s7378,s9222,s1688,s1690,s9026,s8653,s5126,s9206]) ).

cnf(s9231,plain,
    ( ~ spl0_223
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s37,s5515,s5298,s2733,s3259,s7378,s3865,s9224,s6467,s8687,s538,s2833,s7381,s4644,s539,s9139,s1208,s3296,s9230,s8653,s5126,s9206]) ).

cnf(s9232,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s9197,s7383,s3646,s1727,s2524,s8653,s5126,s9206,s9230,s6307,s9231,s538,s9139]) ).

cnf(s9233,plain,
    ( spl0_38
    | ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s1796,s9197,s6235,s4477,s5018,s9232,s9139,s8653,s5126,s9206,s9230,s9231]) ).

cnf(s9234,plain,
    ( ~ spl0_206
    | ~ spl0_24 ),
    inference(rat,[],[s5018,s4137,s4477,s1998,s3587,s1798,s7789,s6691,s6962,s2721,s9233,s7378,s4865,s1835,s9231,s1208,s3296,s1872,s9230,s5126,s1679,s9139,s8653,s9206]) ).

cnf(s9235,plain,
    ( spl0_323
    | ~ spl0_367
    | spl0_386
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_37
    | ~ spl0_366
    | ~ spl0_223
    | ~ spl0_24 ),
    inference(rat,[],[s67,s3203,s4477,s5289,s9069,s6181,s7382,s7380,s3271,s5040,s8674,s3204,s6201,s1653,s9234,s7383,s3865,s6467,s8653,s9206,s9139]) ).

cnf(s9236,plain,
    ( spl0_99
    | ~ spl0_376
    | ~ spl0_51
    | spl0_38
    | spl0_319
    | spl0_31
    | ~ spl0_192
    | ~ spl0_201 ),
    inference(rat,[],[s4165,s3273,s171,s7316,s9118,s145,s6119,s131]) ).

cnf(s9238,plain,
    ( ~ spl0_95
    | ~ spl0_90
    | ~ spl0_99
    | spl0_346
    | ~ spl0_362
    | ~ spl0_360
    | ~ spl0_602
    | ~ spl0_4
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s3617,s4964,s4922,s5115]) ).

cnf(s9239,plain,
    ( spl0_200
    | spl0_31
    | ~ spl0_366
    | ~ spl0_223
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s4974,s171,s2490,s4314,s142,s9238,s186,s9236,s1794,s53,s22,s2184,s4860,s3011,s2444,s4477,s2645,s2081,s6682,s2291,s6962,s3014,s7382,s6120,s7380,s3887,s3271,s8678,s4828,s9235,s3259,s6449,s5298,s3970,s37,s7381,s3821,s5102,s2631,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s1982,s8687,s1690,s9026,s538,s539,s1653,s1688,s1910,s7383,s3865,s6467,s8653,s9206,s9139,s2524,s1997,s9234]) ).

cnf(s9240,plain,
    ( spl0_31
    | ~ spl0_366
    | ~ spl0_223
    | spl0_196
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s8221,s4860,s2154,s10,s8556,s8484,s1724,s1208,s1840,s6468,s3306,s8522,s2295,s681,s9239,s280,s9026,s8653,s1653,s9234,s5127,s6467,s9206]) ).

cnf(s9241,plain,
    ( ~ spl0_14
    | ~ spl0_31
    | ~ spl0_366
    | ~ spl0_7
    | ~ spl0_192
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s3663,s5701,s6201,s3585,s2002,s3605,s6961,s2122,s8357,s6682,s7381,s5102,s6957,s6956,s6976,s6105,s6115,s8556,s6659,s8687,s1690,s9026,s1653,s9234,s1688,s7383,s3865,s4477,s5018,s8653,s9206,s9139]) ).

cnf(s9242,plain,
    ( ~ spl0_366
    | ~ spl0_223
    | spl0_196
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s6468,s8221,s681,s4860,s1982,s2154,s10,s9241,s8452,s4477,s5018,s9240,s9026,s1653,s9234,s5127,s7383,s3865,s4,s8,s1910,s6467,s9139,s9,s4832,s8653,s9206]) ).

cnf(s9243,plain,
    ( spl0_31
    | ~ spl0_365
    | ~ spl0_223
    | ~ spl0_345
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s7454,s8282,s2002,s67,s6120,s3275,s3579,s8178,s7381,s5102,s5370,s10,s1982,s9161,s6659,s8687,s1653,s9234,s1688,s3865,s6467,s8653,s9206,s9139]) ).

cnf(s9244,plain,
    ( spl0_200
    | ~ spl0_31
    | ~ spl0_365
    | ~ spl0_7
    | ~ spl0_345
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s5701,s3663,s3585,s6201,s3605,s6957,s6956,s2002,s2122,s6105,s6115,s6961,s3587,s10,s8282,s7663,s1982,s6659,s8687,s1690,s9026,s1653,s9234,s1688,s4477,s5018,s8653,s9206,s9139]) ).

cnf(s9245,plain,
    ( ~ spl0_223
    | spl0_196
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s3984,s7524,s5379,s3587,s5095,s6962,s8522,s9244,s4477,s5018,s9243,s7378,s9242,s4,s8,s1910,s6467,s9139,s8653,s5127,s9,s4832,s9206]) ).

cnf(s9246,plain,
    ( ~ spl0_366
    | spl0_31
    | spl0_223
    | ~ spl0_345
    | ~ spl0_24 ),
    inference(rat,[],[s6333,s9191,s7381,s6200,s1910,s8659,s8658,s681,s6468,s4299,s9026,s9206,s9234,s3646,s2524,s6307,s538,s7383,s1998,s280,s1835,s9139]) ).

cnf(s9247,plain,
    ( spl0_31
    | spl0_196
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s5370,s2693,s10,s8287,s1982,s9161,s7378,s9246,s8653,s9206,s9234,s1688,s5127,s9245]) ).

cnf(s9248,plain,
    ( ~ spl0_366
    | spl0_9
    | spl0_223
    | ~ spl0_24 ),
    inference(rat,[],[s681,s6468,s8658,s4299,s9026,s9139,s9206,s9234,s1835]) ).

cnf(s9249,plain,
    ( spl0_196
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s6355,s7381,s6962,s5615,s8522,s6304,s9244,s2507,s7378,s9248,s4,s8,s4477,s24,s5018,s9247,s6307,s9245,s9,s4832,s5127,s6659,s8687,s538,s9139,s8653,s9206,s1653,s9234,s1688]) ).

cnf(s9250,plain,
    ( ~ spl0_366
    | spl0_31
    | ~ spl0_223
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s94,s92,s10,s79,s3011,s8556,s53,s8357,s1724,s2184,s1208,s1840,s7381,s3825,s2295,s7973,s9239,s9026,s9249,s7383,s3865,s6467,s8653,s9206,s9139,s277,s5719,s9234]) ).

cnf(s9251,plain,
    ( spl0_31
    | ~ spl0_223
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s3271,s4828,s6120,s2151,s3579,s5141,s7381,s3276,s5102,s6957,s6956,s5370,s6105,s6115,s10,s1982,s8818,s7378,s9250,s280,s2524,s6659,s8687,s1690,s9026,s1653,s9234,s1688,s9249,s7383,s3865,s6467,s8653,s9206,s9139]) ).

cnf(s9252,plain,
    ( ~ spl0_367
    | spl0_392
    | ~ spl0_23
    | ~ spl0_393
    | ~ spl0_196
    | ~ spl0_201 ),
    inference(rat,[],[s5698,s2721,s6961,s2122,s8357,s6682]) ).

cnf(s9253,plain,
    ( ~ spl0_223
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s6691,s1208,s3695,s3825,s1982,s10,s5370,s7378,s5102,s5142,s7381,s9252,s4477,s5018,s9251,s7383,s3865,s6467,s9139,s8653,s9206,s1653,s9234,s1688,s9249]) ).

cnf(s9254,plain,
    ( ~ spl0_366
    | spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s9207,s2219,s4199,s9248,s4708,s9249,s9234,s1835,s9253]) ).

cnf(s9255,plain,
    ( spl0_370
    | ~ spl0_24 ),
    inference(rat,[],[s2893,s5476,s7382,s7337,s7381,s6033,s1208,s3334,s2081,s6955,s5615,s3825,s4860,s5503,s1982,s2154,s10,s9229,s4828,s9228,s7378,s9254,s6307,s9253,s9249,s1688,s9026,s538,s9139,s8653,s9206,s1653,s9234]) ).

cnf(s9256,plain,
    ~ spl0_24,
    inference(rat,[],[s5312,s2223,s6034,s5127,s8818,s9197,s7383,s7378,s1998,s3646,s6149,s6307,s1835,s280,s2524,s6467,s5018,s67,s1910,s24,s5642,s1872,s9255,s1653,s9234,s8653,s9206,s538,s9139,s6659,s8687]) ).

cnf(s9257,plain,
    spl0_62,
    inference(rat,[],[s65,s9256]) ).

cnf(s9259,plain,
    spl0_25,
    inference(rat,[],[s19,s9256]) ).

cnf(s9260,plain,
    ( spl0_371
    | spl0_193
    | ~ spl0_20
    | ~ spl0_51
    | spl0_192
    | spl0_47
    | ~ spl0_206
    | spl0_31
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_443
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5436,s142,s5296,s158,s5000,s171,s9118,s160,s159,s4930,s6855,s7596,s7337,s9053,s5636,s2651,s3016,s6181,s2309,s8724,s7380,s7382,s2675,s6228,s7383,s3580,s6956,s5981,s1831,s6957,s6115,s9182,s6105,s1690,s1688,s2524,s7381,s6774,s83,s2353,s67,s367,s5950,s7225,s9257]) ).

cnf(s9265,plain,
    ( ~ spl0_323
    | ~ spl0_368
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s2675,s3580,s7380,s6956,s6957,s3016,s3041,s3021]) ).

cnf(s9266,plain,
    ( spl0_309
    | spl0_193
    | spl0_371
    | spl0_192
    | spl0_47
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9260,s6659,s53,s203,s1660,s6507,s7417,s1649,s6964,s10,s1982,s9259,s9256,s9257]) ).

cnf(s9267,plain,
    ( spl0_371
    | ~ spl0_392
    | spl0_192
    | spl0_47
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s203,s3059,s7383,s6659,s2645,s6240,s5982,s9266,s7380,s2675,s5226,s3580,s6956,s1831,s6957,s6115,s9182,s6105,s1690,s1688,s6964,s10,s1982,s4750,s7381,s6774,s9259]) ).

cnf(s9268,plain,
    ( spl0_309
    | ~ spl0_423
    | ~ spl0_304
    | spl0_418
    | ~ spl0_371
    | spl0_47 ),
    inference(rat,[],[s6446,s2140,s6659,s7681,s2254,s1208,s9257]) ).

cnf(s9269,plain,
    ( ~ spl0_392
    | spl0_192
    | spl0_47
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6855,s7337,s7383,s2645,s6240,s9268,s5901,s6955,s7380,s6228,s4866,s6957,s2105,s8918,s7382,s5609,s8724,s6306,s6080,s2079,s3003,s9267,s4750,s1688,s5950,s7225,s2151,s9265,s7381,s6774]) ).

cnf(s9270,plain,
    ( spl0_371
    | spl0_392
    | spl0_192
    | spl0_47
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6747,s7383,s7337,s6240,s1241,s9266,s3706,s2680,s6259,s6444,s4256,s6865,s8724,s7380,s7382,s2675,s6228,s3580,s6956,s1831,s6957,s6115,s9182,s6105,s1690,s1688,s6964,s10,s1982,s7225,s9265,s7381,s6774,s2718,s5731,s9257]) ).

cnf(s9271,plain,
    ( spl0_99
    | spl0_549
    | ~ spl0_536
    | ~ spl0_306
    | ~ spl0_505
    | ~ spl0_419
    | ~ spl0_304
    | spl0_360
    | spl0_466
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_368
    | ~ spl0_10
    | ~ spl0_37
    | ~ spl0_345
    | ~ spl0_366 ),
    inference(rat,[],[s4632,s3118,s5252,s171,s319,s307,s5979,s2632,s3499,s2396,s6969,s6138,s6872,s4936,s2634,s4453]) ).

cnf(s9272,plain,
    ( ~ spl0_99
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4125,s7375,s7362]) ).

cnf(s9273,plain,
    ( spl0_192
    | ~ spl0_10
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4850,s142,s6969,s3516,s6872,s9271,s4936,s4453,s9272,s6135,s2140,s4228,s5893,s8763,s6198,s6955,s7380,s6228,s4866,s6957,s2105,s8918,s7382,s5609,s8724,s6306,s6080,s2079,s3003,s9270,s2718,s9269,s2151,s9265,s7381,s6774,s1688,s6964,s2524,s5950,s7225,s4146,s9257]) ).

cnf(s9274,plain,
    ( ~ spl0_368
    | spl0_509
    | spl0_195
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_192
    | ~ spl0_206
    | spl0_31
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s5405,s6455,s7337,s1241,s3011,s5731,s4256,s7380,s7382,s2675,s6228,s9265,s3580,s9257]) ).

cnf(s9275,plain,
    ( spl0_309
    | ~ spl0_423
    | ~ spl0_367
    | spl0_376
    | ~ spl0_17
    | spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s367,s22,s6659,s1794,s2254,s9257]) ).

cnf(s9276,plain,
    ( spl0_371
    | spl0_250
    | ~ spl0_192
    | ~ spl0_17
    | ~ spl0_206
    | spl0_31
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8919,s7383,s3011,s7337,s6240,s2436,s2645,s9275,s1996,s605,s4257,s9057,s7381,s9274,s5429,s3115,s2952,s538,s2631,s6956,s6957,s6976,s6115,s6105,s8556,s1690,s1688,s6964,s10,s1982,s2524,s9257]) ).

cnf(s9277,plain,
    ( ~ spl0_392
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_428
    | spl0_195
    | spl0_418
    | spl0_323
    | ~ spl0_368
    | ~ spl0_192
    | spl0_31
    | ~ spl0_366 ),
    inference(rat,[],[s5327,s5415,s4237,s7382,s2105,s4866,s7380,s6855,s7383,s7337,s6240,s1241,s4750,s3011,s9257]) ).

cnf(s9278,plain,
    ( ~ spl0_306
    | ~ spl0_309
    | ~ spl0_302
    | spl0_195
    | spl0_346
    | ~ spl0_368
    | ~ spl0_371
    | spl0_47
    | ~ spl0_366 ),
    inference(rat,[],[s5837,s2586,s7382,s4209,s4238,s5506,s7380,s4866,s6659,s2106,s6446,s6960,s2952,s9257]) ).

cnf(s9279,plain,
    ( ~ spl0_368
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_10
    | spl0_4
    | ~ spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s8017,s2105,s1724,s4866,s3806,s7380,s8763,s7337,s9278,s6444,s2718,s9277,s9268,s5901,s6955,s8523,s6957,s8918,s6960,s5609,s1910,s6306,s6080,s2079,s5746,s6173,s2151,s9265,s5950,s4146,s3003]) ).

cnf(s9280,plain,
    ( ~ spl0_206
    | spl0_31
    | spl0_15
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5630,s3154,s6333,s7383,s3011,s6240,s2436,s9275,s4257,s3115,s2952,s1996,s605,s538,s9057,s2631,s6976,s3832,s7381,s9279,s9276,s3821,s9273,s5950,s11,s7225,s5105,s1688,s6964,s10,s1982,s2524,s9257]) ).

cnf(s9281,plain,
    ( ~ spl0_367
    | spl0_192
    | ~ spl0_345
    | ~ spl0_223 ),
    inference(rat,[],[s2690,s8598,s1870]) ).

cnf(s9282,plain,
    ( spl0_371
    | ~ spl0_368
    | spl0_192
    | spl0_206
    | ~ spl0_14
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s3016,s2675,s9036,s3580,s6956,s6957,s6115,s6105,s1690,s1688]) ).

cnf(s9283,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_368
    | spl0_192
    | spl0_206
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s3016,s2675,s9036,s3580]) ).

cnf(s9284,plain,
    ( ~ spl0_323
    | ~ spl0_304
    | ~ spl0_302
    | spl0_466
    | ~ spl0_368
    | ~ spl0_201
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s2309,s2105,s2103,s5050,s4866,s7380,s7506,s3016]) ).

cnf(s9285,plain,
    ( ~ spl0_302
    | ~ spl0_371
    | spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s3059,s7383,s2645,s6240,s1649,s6507,s203,s6659,s7380,s83,s4866,s8668,s5144,s9284,s6955,s9283,s1653,s1997,s7381,s9281,s3003,s9257,s9259]) ).

cnf(s9286,plain,
    ( spl0_192
    | spl0_31
    | spl0_200
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4863,s37,s3463,s5690,s7764,s5016,s6955,s3271,s6120,s2122,s6400,s4961,s5609,s8918,s6957,s9285,s3003,s9282,s7381,s9281,s1688,s10,s1982,s2524,s1653,s9280,s3721,s8394,s5127]) ).

cnf(s9287,plain,
    ( ~ spl0_368
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_14
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s3580,s2675,s6957,s6956,s8918,s7506,s5609,s5062,s7380,s3016,s8914,s3003,s9182,s7235,s5102,s4726,s6964]) ).

cnf(s9288,plain,
    ( spl0_38
    | ~ spl0_364
    | spl0_323
    | ~ spl0_367
    | ~ spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_313 ),
    inference(rat,[],[s2353,s1910,s6659,s6439,s203,s5476,s6507,s6455,s1649,s1208,s1241,s2012,s9257,s9259]) ).

cnf(s9289,plain,
    ( spl0_323
    | ~ spl0_303
    | ~ spl0_302
    | spl0_371
    | spl0_386
    | ~ spl0_367
    | ~ spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s3734,s6961,s6234,s3174,s2718,s6659,s3011,s83,s9288,s6330,s6298,s3664,s7380,s7382,s4866,s5040,s5144,s3204,s2524,s1653,s1690]) ).

cnf(s9290,plain,
    ( spl0_371
    | ~ spl0_367
    | ~ spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2309,s7382,s2103,s6365,s4866,s4023,s7380,s5950,s3016,s7304,s9289,s6956,s6957,s6115,s6105,s1690,s1688,s1653,s1831,s6976,s3832,s10,s1982]) ).

cnf(s9291,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_383
    | ~ spl0_192
    | spl0_206
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4023,s2309,s5950,s7382,s2944,s6365,s2275,s7380,s3016,s2151,s2067]) ).

cnf(s9292,plain,
    ( spl0_323
    | ~ spl0_302
    | ~ spl0_371
    | spl0_386
    | ~ spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s5731,s4256,s7380,s7382,s3011,s1910,s4866,s5040,s8668,s5736,s5144,s1653,s9257]) ).

cnf(s9293,plain,
    ( ~ spl0_302
    | ~ spl0_371
    | ~ spl0_383
    | ~ spl0_192
    | spl0_206
    | spl0_31
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4868,s7380,s7506,s3016,s9292,s6955,s9291,s1831,s2880]) ).

cnf(s9294,plain,
    ( spl0_31
    | spl0_200
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5988,s5950,s1910,s6080,s5736,s2151,s3016,s7380,s4868,s5609,s8918,s6957,s9293,s2880,s9290,s6976,s3832,s7381,s9287,s9286,s1653,s9280,s1688,s5127,s8394,s3721,s10,s1982]) ).

cnf(s9295,plain,
    ( spl0_192
    | ~ spl0_31
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4821,s307,s142,s4810,s3499,s4850,s6957,s6969,s8918,s5901,s6872,s5609,s6955,s6303,s4936,s6080,s2067,s3003,s9282,s2737,s7732,s4750,s7381,s9281,s1688,s10,s1982,s5949,s3984,s5950,s2151,s6810,s131,s4453,s7750,s37,s2296,s9256]) ).

cnf(s9296,plain,
    ( spl0_371
    | ~ spl0_436
    | ~ spl0_362
    | ~ spl0_487
    | ~ spl0_309
    | ~ spl0_315
    | ~ spl0_348
    | ~ spl0_14
    | spl0_370 ),
    inference(rat,[],[s5405,s7337,s4237,s3585,s3769,s3605,s6956,s6957,s6115,s5429,s6105,s1690,s1688,s9257]) ).

cnf(s9297,plain,
    ( ~ spl0_206
    | ~ spl0_192
    | ~ spl0_31
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4238,s6960,s7380,s6303,s3806,s3003,s9296,s2952,s7382,s538,s2750,s5040,s2631,s9057,s1831,s6976,s3832,s7381,s4750,s7732,s4326,s6182,s5949,s3984,s5950,s2151,s6173,s6810,s3821,s37,s2296,s9256]) ).

cnf(s9298,plain,
    ( spl0_371
    | ~ spl0_362
    | spl0_195
    | ~ spl0_367
    | spl0_206
    | ~ spl0_192
    | ~ spl0_100
    | spl0_323
    | spl0_4
    | ~ spl0_14
    | ~ spl0_443
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s5475,s4631,s6443,s7351,s307,s4935,s5854,s5953,s3273,s7983,s9086,s7380,s4866,s6957,s6105,s1690,s4930,s5144,s1653,s2952]) ).

cnf(s9299,plain,
    ( spl0_200
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6114,s5700,s6955,s6303,s6080,s2067,s3003,s9298,s3551,s2952,s7382,s538,s5040,s2631,s1831,s6976,s3832,s7381,s9287,s1653,s9297,s3821,s9295,s131,s2151,s5950,s37,s3984,s7750,s6810,s2296,s9294,s10,s1982,s8394,s6964,s1688,s5127,s9256]) ).

cnf(s9300,plain,
    ( ~ spl0_14
    | ~ spl0_302
    | spl0_371
    | ~ spl0_1
    | ~ spl0_206
    | ~ spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9056,s9173,s6956,s6976,s6115,s8556,s2295,s1690]) ).

cnf(s9301,plain,
    ( ~ spl0_302
    | spl0_371
    | spl0_417
    | ~ spl0_1
    | ~ spl0_206
    | ~ spl0_385
    | spl0_192
    | ~ spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s8724,s2145,s4860,s2154,s10,s9300]) ).

cnf(s9302,plain,
    ( spl0_371
    | spl0_417
    | ~ spl0_1
    | ~ spl0_206
    | spl0_192
    | ~ spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2154,s4860,s10,s5609,s6105,s7601,s6957,s9301,s1688,s4519,s7381,s9281,s5127,s681]) ).

cnf(s9303,plain,
    ( ~ spl0_206
    | spl0_192
    | spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6855,s7337,s7383,s9278,s5837,s9268,s5901,s6955,s7380,s8523,s4866,s6957,s5633,s2105,s7601,s7382,s6960,s5609,s8724,s6303,s6080,s2079,s3003,s9302,s6173,s4146,s2151,s5950,s8034,s37,s3984,s9265,s7225,s1688,s3953,s9299,s7381,s9281,s5127]) ).

cnf(s9304,plain,
    ( spl0_371
    | ~ spl0_1
    | spl0_206
    | spl0_192
    | ~ spl0_37
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2766,s2105,s6956,s7382,s6926,s8724,s2651,s2154,s2316,s10,s9282,s7381,s9281,s6468,s681,s9256]) ).

cnf(s9305,plain,
    ( ~ spl0_302
    | ~ spl0_371
    | ~ spl0_198
    | ~ spl0_1
    | ~ spl0_217
    | spl0_206
    | spl0_192
    | spl0_31
    | spl0_465
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s5837,s2586,s2254,s2096,s6659,s7380,s1724,s83,s4866,s5632,s5901,s8668,s5144,s7382,s6926,s9284,s8724,s6955,s2828,s9283,s7381,s9281,s1653,s3003,s9257]) ).

cnf(s9306,plain,
    ( spl0_323
    | ~ spl0_301
    | ~ spl0_371
    | ~ spl0_1
    | spl0_206
    | spl0_31
    | ~ spl0_200 ),
    inference(rat,[],[s8479,s9104,s6101,s6659,s6955,s83,s2079,s5141,s8668,s5736,s2151,s3003]) ).

cnf(s9307,plain,
    ( ~ spl0_1
    | spl0_192
    | spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7798,s4972,s8550,s7506,s10,s37,s6955,s131,s1786,s7235,s5222,s7987,s5633,s5632,s2105,s7382,s2689,s7380,s5745,s3016,s9306,s6957,s9305,s3003,s9304,s2295,s1688,s3953,s2524,s1870,s7381,s9281,s5127,s6468,s9303,s681,s9299]) ).

cnf(s9308,plain,
    ( spl0_192
    | spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5975,s5999,s7235,s5988,s8034,s9307,s7381,s9281,s5127,s9299]) ).

cnf(s9309,plain,
    ( spl0_371
    | spl0_383
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_37
    | ~ spl0_366
    | spl0_370 ),
    inference(rat,[],[s2316,s10,s1910,s8556,s9050,s1724,s9256]) ).

cnf(s9310,plain,
    ( ~ spl0_368
    | ~ spl0_206
    | ~ spl0_371
    | spl0_4
    | ~ spl0_381
    | ~ spl0_1
    | ~ spl0_192
    | spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s2105,s7382,s4866,s8017,s7380,s6444,s8763,s2718,s7337,s9277,s9278,s9268,s5901,s6955,s8523,s6957,s7601,s6960,s5609,s1910,s6306,s6080,s2079,s5736,s2151,s9265,s5127,s5950,s4146,s37,s3003]) ).

cnf(s9311,plain,
    ( ~ spl0_13
    | spl0_383
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_37 ),
    inference(rat,[],[s1910,s1786,s2316,s9256]) ).

cnf(s9312,plain,
    ( ~ spl0_1
    | spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1653,s6108,s9310,s4726,s7381,s5510,s10,s9311,s9309,s3984,s7235,s1724,s1840,s2295,s1688,s9299,s2524,s9308]) ).

cnf(s9313,plain,
    ( spl0_371
    | ~ spl0_367
    | spl0_392
    | ~ spl0_100
    | ~ spl0_13
    | ~ spl0_5
    | spl0_206
    | ~ spl0_195
    | ~ spl0_4
    | spl0_31
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s4368,s6543,s7006,s6211,s2680,s6858,s2012,s4225,s514,s6961,s171,s6266,s46,s8462,s370,s267,s2794,s1212,s8351,s6926,s9137,s6101,s6955,s6957,s6283,s1638,s4930,s5144,s2151,s2154,s7304,s1653,s6468,s681,s255,s9256]) ).

cnf(s9315,plain,
    ( ~ spl0_395
    | ~ spl0_335
    | ~ spl0_506
    | ~ spl0_100
    | ~ spl0_13
    | spl0_206
    | ~ spl0_195
    | ~ spl0_192
    | spl0_31
    | ~ spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s4158,s171,s319,s2178,s5854,s5565,s267,s3273,s6266]) ).

cnf(s9316,plain,
    ( ~ spl0_305
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_367
    | spl0_392
    | ~ spl0_100
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_5
    | spl0_206
    | ~ spl0_195
    | ~ spl0_192
    | spl0_31
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s8401,s1731,s171,s3875,s4921,s5660,s4263,s6332,s9315,s6962,s1726,s1212,s1798,s8462,s8357,s5516,s538,s255,s2718,s9256]) ).

cnf(s9318,plain,
    ( ~ spl0_302
    | spl0_327
    | ~ spl0_362
    | ~ spl0_367
    | spl0_392
    | ~ spl0_100
    | ~ spl0_6
    | ~ spl0_13
    | ~ spl0_5
    | spl0_206
    | ~ spl0_195
    | ~ spl0_192
    | spl0_31
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s7338,s6747,s2645,s7383,s6240,s6961,s9316,s7380,s4866,s1997]) ).

cnf(s9319,plain,
    ( spl0_31
    | ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5222,s7380,s6956,s9316,s9137,s1208,s1212,s6240,s5981,s1798,s3430,s6957,s9318,s5144,s7382,s8845,s5633,s9313,s6333,s7381,s3921,s5999,s131,s255,s5975,s6064,s1997,s1653,s8099,s10,s7235,s6398,s7225,s5988,s6139,s8034,s1,s15,s9312,s9308,s1688,s5127,s7147,s3953,s9299,s9256]) ).

cnf(s9320,plain,
    ( ~ spl0_13
    | spl0_206
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6921,s6820,s255,s6810,s37,s2296,s9256]) ).

cnf(s9321,plain,
    ( spl0_206
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4821,s307,s142,s4810,s3499,s4850,s6969,s6957,s6872,s7798,s5901,s4936,s6303,s6955,s6080,s3003,s8553,s8556,s10,s9320,s1724,s5975,s5144,s2737,s4144,s1653,s1688,s3984,s5950,s8034,s2151,s6810,s131,s4453,s37,s2296,s7750,s9256]) ).

cnf(s9322,plain,
    ( ~ spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6774,s9297,s7381,s10,s4750,s6813,s7732,s9321,s8034,s5949,s2296,s9319,s9299,s5127,s9256]) ).

cnf(s9323,plain,
    ( spl0_4
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_383
    | spl0_31
    | ~ spl0_443
    | spl0_206
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s3011,s2012,s5731,s9275,s4256,s3115,s4257,s538,s2631,s3821,s5950,s37,s7381,s5102,s1653,s9257]) ).

cnf(s9324,plain,
    ( ~ spl0_32
    | spl0_636
    | ~ spl0_374
    | spl0_200
    | ~ spl0_192
    | spl0_11
    | spl0_196 ),
    inference(rat,[],[s8193,s1649,s3011,s6507,s6304,s203,s9257,s9259]) ).

cnf(s9325,plain,
    ( spl0_371
    | spl0_31
    | spl0_200
    | ~ spl0_192
    | spl0_11
    | spl0_196
    | ~ spl0_366
    | spl0_370 ),
    inference(rat,[],[s2111,s4238,s2651,s1910,s2353,s6659,s9324,s6355,s6962,s3664,s6120,s7380,s7382,s3271,s4861,s3887,s4828,s9289,s3580,s7381,s6956,s6957,s5102,s1831,s6115,s6105,s9309,s1690,s1688,s8653,s1653,s5126,s10,s1982,s2524]) ).

cnf(s9326,plain,
    ( spl0_346
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_381
    | spl0_320
    | spl0_31
    | spl0_200
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s1649,s6240,s6507,s2586,s203,s6659,s2353,s1910,s4238,s2096,s6960,s9257,s9259]) ).

cnf(s9327,plain,
    ( ~ spl0_302
    | ~ spl0_368
    | spl0_466
    | spl0_320
    | spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s6240,s1798,s1649,s6447,s6507,s3060,s203,s6659,s2353,s2651,s9326,s7382,s7380,s4961,s3887,s5062,s4828,s6201,s2524,s4726,s1724,s5102,s8653,s9257,s9259]) ).

cnf(s9328,plain,
    ( ~ spl0_368
    | spl0_466
    | spl0_320
    | spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | ~ spl0_345
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s4961,s6400,s5609,s8918,s6957,s9327,s6962,s6120,s4726,s2524]) ).

cnf(s9329,plain,
    ( ~ spl0_58
    | ~ spl0_362
    | ~ spl0_302
    | spl0_320
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s7338,s2492,s2645,s6240,s1649,s6507,s9257]) ).

cnf(s9330,plain,
    ( ~ spl0_302
    | spl0_484
    | spl0_386
    | ~ spl0_371
    | spl0_31
    | spl0_200
    | spl0_206
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s2111,s4238,s2651,s1910,s2353,s6659,s203,s9329,s7380,s7382,s4861,s3887,s4828,s9292,s8653,s1997,s9259]) ).

cnf(s9331,plain,
    ( spl0_31
    | spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7243,s3271,s5016,s6120,s5690,s2122,s9323,s7382,s6400,s7380,s4480,s4961,s4861,s5609,s8918,s6957,s9330,s2880,s3073,s1831,s6976,s3832,s7381,s9328,s3003,s9325,s1997,s2524,s1688,s5127,s8653,s6467,s1653,s5126,s9322,s6964,s10,s1982]) ).

cnf(s9332,plain,
    ( spl0_323
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_560
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_383
    | ~ spl0_23
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s6448,s4395,s37,s3619,s3821,s8377,s2631,s6659,s538,s203,s6439,s6507,s5476,s6455,s7337,s1649,s1208,s5077,s2002,s4478,s6201,s2151,s605,s3073,s7381,s5102,s9257,s9259]) ).

cnf(s9333,plain,
    ( ~ spl0_10
    | ~ spl0_360
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_383
    | ~ spl0_308
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s2256,s6659,s5077,s5428,s4863,s5731,s9086,s4249,s4256,s2952,s538,s2631,s3821,s3073,s9257]) ).

cnf(s9334,plain,
    ( ~ spl0_364
    | ~ spl0_362
    | ~ spl0_560
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_383
    | ~ spl0_308
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s6855,s7337,s7383,s4954,s3618,s3619,s3605,s4395,s6448,s37,s9333,s4828,s9332,s8653,s5018,s9257]) ).

cnf(s9335,plain,
    ( ~ spl0_363
    | spl0_484
    | ~ spl0_303
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s4828,s4868,s8674]) ).

cnf(s9336,plain,
    ( spl0_371
    | spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4828,s3887,s5040,s7382,s9334,s7380,s9335,s3970,s7381,s3580,s5102,s1831,s6956,s6957,s6976,s6115,s6105,s8556,s1690,s1688,s8653,s6467,s1653,s5126,s9322,s10,s1982,s9331]) ).

cnf(s9337,plain,
    ( spl0_323
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_560
    | ~ spl0_383
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s3011,s5661,s5731,s8571,s4256,s1208,s6955,s1910,s2002,s9332,s5736,s6201,s7381,s5102,s9257]) ).

cnf(s9338,plain,
    ( ~ spl0_10
    | ~ spl0_360
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_383
    | spl0_466
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s4238,s538,s6960,s2631,s4863,s3821]) ).

cnf(s9339,plain,
    ( ~ spl0_364
    | ~ spl0_362
    | ~ spl0_560
    | ~ spl0_383
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s6855,s7337,s7383,s4954,s3618,s3619,s3605,s4395,s6448,s37,s9338,s4828,s9337,s5018,s3003,s8653,s9257]) ).

cnf(s9340,plain,
    ( ~ spl0_363
    | ~ spl0_302
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s4828,s5144,s4868,s4866,s3580]) ).

cnf(s9341,plain,
    ( ~ spl0_383
    | ~ spl0_302
    | ~ spl0_371
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | spl0_11
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s4828,s3887,s5040,s7382,s9339,s3970,s7381,s5102,s1831,s8653,s7380,s9340,s6467]) ).

cnf(s9342,plain,
    ( ~ spl0_315
    | ~ spl0_360
    | ~ spl0_393
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_23 ),
    inference(rat,[],[s6855,s7337,s4954,s3618,s3605]) ).

cnf(s9343,plain,
    ( ~ spl0_32
    | ~ spl0_303
    | ~ spl0_362
    | ~ spl0_393
    | spl0_383
    | ~ spl0_364
    | ~ spl0_302
    | spl0_200
    | ~ spl0_366 ),
    inference(rat,[],[s3706,s6447,s9329,s3060,s203,s9257,s9259]) ).

cnf(s9344,plain,
    ( ~ spl0_20
    | ~ spl0_346
    | ~ spl0_360
    | ~ spl0_393
    | ~ spl0_364
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_1 ),
    inference(rat,[],[s7338,s6855,s6453,s5461]) ).

cnf(s9345,plain,
    ( ~ spl0_302
    | spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9343,s6659,s6956,s9344,s4817,s4395,s9342,s6448,s37,s4863,s3432,s5289,s6181,s7382,s3887,s4828,s7383,s6201,s6538,s4726,s7381,s5510,s1724,s9341,s7380,s9340,s1688,s6467,s1653,s5126,s10,s1982,s5018,s9331,s3003,s9336,s8653,s9322,s9257]) ).

cnf(s9346,plain,
    ( ~ spl0_383
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_301
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_31
    | spl0_200
    | ~ spl0_201
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s203,s6507,s6659,s1332,s5428,s3011,s6333,s3430,s7383,s3619,s4395,s6448,s37,s9338,s3970,s7382,s7381,s4480,s5102,s3073,s3003,s9259,s9257]) ).

cnf(s9347,plain,
    ( ~ spl0_32
    | ~ spl0_393
    | spl0_383
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_23
    | spl0_200
    | ~ spl0_201 ),
    inference(rat,[],[s2680,s1332,s6447,s6507,s3060,s203,s9257,s9259]) ).

cnf(s9348,plain,
    ( ~ spl0_364
    | spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5434,s1202,s9344,s6453,s6659,s9347,s7383,s6538,s7381,s5510,s1724,s9346,s8653,s6467,s1653,s5126,s6964,s10,s1982,s5018,s9331,s9322,s9336,s5609,s8918,s6957,s9345,s1688,s5127,s9257,s9259]) ).

cnf(s9349,plain,
    ( spl0_200
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7391,s3832,s2880,s7381,s4868,s5062,s7380,s9348,s5609,s8918,s6957,s9345,s9336,s10,s1982,s1688,s5127,s6467,s1653,s5126,s9322]) ).

cnf(s9350,plain,
    ( ~ spl0_302
    | spl0_319
    | ~ spl0_371
    | ~ spl0_198
    | ~ spl0_201
    | spl0_11 ),
    inference(rat,[],[s4828,s6201,s2828]) ).

cnf(s9351,plain,
    ( ~ spl0_393
    | ~ spl0_510
    | ~ spl0_364
    | spl0_418
    | ~ spl0_360
    | spl0_31
    | spl0_383
    | ~ spl0_1 ),
    inference(rat,[],[s2353,s2651,s6659,s3432,s3060,s5289,s6447,s1724,s9257]) ).

cnf(s9352,plain,
    ( ~ spl0_362
    | spl0_418
    | ~ spl0_360
    | ~ spl0_301
    | ~ spl0_368
    | spl0_31
    | spl0_383
    | spl0_11
    | spl0_196
    | ~ spl0_223 ),
    inference(rat,[],[s2111,s4238,s2651,s1910,s2353,s6659,s203,s6506,s67,s6538,s1798,s9351,s6396,s72,s8193,s3011,s2718,s4031,s3625,s8653,s76,s3589,s6962,s6120,s4726,s5739,s7380,s5062,s6467,s1653,s5126,s9259]) ).

cnf(s9353,plain,
    ( spl0_31
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6453,s2140,s5298,s6855,s3259,s7383,s6538,s67,s5940,s4230,s3645,s2952,s2766,s5633,s2105,s7382,s9352,s6956,s6198,s5004,s7380,s7006,s5062,s4961,s4828,s9306,s6957,s9350,s6120,s6402,s4726,s7381,s5510,s10,s3003,s9311,s9309,s2524,s1653,s5126,s3953,s1724,s1840,s2295,s9349,s8653,s6467,s9322,s9257]) ).

cnf(s9354,plain,
    ( spl0_371
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3625,s5739,s7382,s6957,s4031,s3334,s3920,s2718,s6962,s5461,s4860,s8221,s5428,s5579,s2154,s255,s539,s10,s9050,s8556,s5127,s1653,s6468,s681,s5126,s1724,s1840,s2295,s9349,s8653,s6467,s5018,s9353,s9322,s9256]) ).

cnf(s9355,plain,
    ( ~ spl0_302
    | ~ spl0_371
    | spl0_383
    | ~ spl0_198
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11
    | spl0_370 ),
    inference(rat,[],[s10,s1786,s3832,s1910,s7381,s5736,s4726,s4828,s9350,s2828,s8653,s1724]) ).

cnf(s9356,plain,
    ( ~ spl0_9
    | ~ spl0_364
    | ~ spl0_4
    | spl0_377
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_381
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s6453,s5298,s5138,s3259,s5251,s3645,s2651,s1910,s9257]) ).

cnf(s9358,plain,
    ( ~ spl0_87
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_560
    | ~ spl0_195
    | ~ spl0_417
    | ~ spl0_362
    | ~ spl0_323
    | ~ spl0_301
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_366 ),
    inference(rat,[],[s3881,s1731,s4983,s7587,s6395,s6969,s3790,s6171]) ).

cnf(s9359,plain,
    ( ~ spl0_99
    | ~ spl0_560
    | ~ spl0_195
    | ~ spl0_306
    | ~ spl0_29
    | ~ spl0_417
    | ~ spl0_362
    | ~ spl0_565
    | ~ spl0_323
    | ~ spl0_364
    | ~ spl0_4
    | ~ spl0_360
    | ~ spl0_301
    | ~ spl0_192
    | spl0_11
    | ~ spl0_366 ),
    inference(rat,[],[s5140,s4263,s2396,s5281,s4980,s6543,s4964,s3966,s3358,s286,s9358,s186,s8653,s9257]) ).

cnf(s9360,plain,
    ( spl0_99
    | ~ spl0_493
    | spl0_38
    | ~ spl0_417
    | ~ spl0_323
    | spl0_9
    | ~ spl0_4
    | ~ spl0_360
    | ~ spl0_301
    | spl0_466
    | ~ spl0_23
    | ~ spl0_31
    | spl0_383
    | ~ spl0_200
    | spl0_206
    | ~ spl0_1
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s7444,s2898,s6397,s4663,s351,s313,s5006,s6441,s142,s114,s307,s2278,s4972,s1948,s2737,s8067,s131,s1653,s6468,s681,s9257]) ).

cnf(s9361,plain,
    ( spl0_395
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_389
    | ~ spl0_306
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_360 ),
    inference(rat,[],[s4964,s6543,s3966,s5281,s171,s4263,s4974]) ).

cnf(s9362,plain,
    ( ~ spl0_362
    | ~ spl0_7
    | ~ spl0_565
    | ~ spl0_364
    | ~ spl0_4
    | spl0_377
    | ~ spl0_360
    | ~ spl0_301
    | ~ spl0_371
    | ~ spl0_31
    | ~ spl0_200
    | spl0_206
    | spl0_11
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4964,s3966,s4980,s6268,s7316,s3667,s5140,s6266,s9361,s186,s9360,s4954,s2680,s3645,s6447,s3259,s2291,s3060,s5298,s6659,s9344,s4860,s3432,s5289,s6181,s3003,s3014,s7383,s5736,s9356,s5018,s1724,s1840,s2295,s6467,s8653,s9257]) ).

cnf(s9363,plain,
    ( ~ spl0_368
    | ~ spl0_360
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1208,s8193,s8526,s5579,s83,s5298,s3259,s10,s3645,s1786,s5633,s7382,s9362,s4,s5011,s8,s5736,s9356,s7380,s6402,s5062,s6538,s4726,s1688,s9,s4832,s3953,s1724,s5018,s9353,s6957,s9355,s9354,s1840,s2295,s9349,s8653,s1653,s5126,s6467,s9322,s9257]) ).

cnf(s9364,plain,
    ( ~ spl0_360
    | spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5013,s5736,s4395,s7337,s1910,s5579,s6453,s1786,s255,s10,s3832,s3970,s7381,s9363,s1724,s5018,s9353,s6957,s9355,s9354,s1840,s2295,s9349,s8653,s1653,s5126,s6467,s9322,s9256]) ).

cnf(s9365,plain,
    ( spl0_196
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7243,s4478,s6101,s2151,s5609,s4828,s9364,s6957,s9355,s3003,s9354,s1840,s2295,s9349,s605,s1653,s5126,s6467,s8653,s9322,s5127]) ).

cnf(s9366,plain,
    ( ~ spl0_360
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s2309,s2103,s7382,s7227,s6365,s2675,s7380,s3016,s5120,s4948,s3271,s5100,s3580]) ).

cnf(s9367,plain,
    ( spl0_371
    | ~ spl0_14
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9036,s6774,s3016,s7381,s7380,s6228,s6365,s7382,s8724,s9366,s6956,s6957,s6115,s6105,s1690,s1688,s9365,s6467]) ).

cnf(s9368,plain,
    ( spl0_201
    | ~ spl0_304
    | ~ spl0_360
    | ~ spl0_371
    | spl0_200
    | ~ spl0_11 ),
    inference(rat,[],[s6080,s2151,s5950,s8034,s3041,s7353,s1653]) ).

cnf(s9369,plain,
    ( ~ spl0_1
    | spl0_323
    | ~ spl0_304
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_11
    | ~ spl0_196
    | spl0_370 ),
    inference(rat,[],[s2254,s6659,s3718,s83,s2140,s8284,s7774,s5901,s2296,s7225,s2651,s5950,s5736,s1688,s3276,s6080,s2151,s9257,s9256]) ).

cnf(s9370,plain,
    ( spl0_323
    | ~ spl0_201
    | ~ spl0_302
    | ~ spl0_383
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2179,s6174,s274,s7364,s8590,s2718,s2444,s6446,s7148,s6121,s6461,s1208,s6497,s3718,s2631,s2140,s5712,s2524,s538,s7774,s2296,s5988,s4489,s6139,s8034,s15,s9369,s7380,s4866,s5144,s2151,s3276,s6955,s9366,s9365,s9256]) ).

cnf(s9371,plain,
    ( ~ spl0_302
    | ~ spl0_383
    | ~ spl0_360
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3561,s3551,s3158,s2952,s7381,s3334,s5053,s7382,s2309,s2103,s3806,s5050,s4866,s7380,s3016,s9370,s9368,s6955,s9366,s3276,s9365,s6467,s6964,s9367,s10,s1982]) ).

cnf(s9372,plain,
    ( spl0_201
    | spl0_17
    | spl0_200
    | ~ spl0_11 ),
    inference(rat,[],[s8034,s4510,s7353,s2029]) ).

cnf(s9374,plain,
    ( ~ spl0_38
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_196 ),
    inference(rat,[],[s3799,s5004,s2680,s2721]) ).

cnf(s9375,plain,
    ( spl0_323
    | ~ spl0_607
    | ~ spl0_301
    | ~ spl0_383
    | ~ spl0_360
    | ~ spl0_371
    | spl0_200
    | spl0_192
    | ~ spl0_196
    | ~ spl0_223 ),
    inference(rat,[],[s160,s8109,s53,s7681,s5022,s7337,s1208,s1241,s2436,s9374,s4930,s131,s8143,s7382,s2150,s7380,s2631,s2524,s2678,s538,s2296,s5988,s8034,s5736,s2651,s3463,s7764,s6955,s5100,s5144,s605,s9372,s6080,s2151,s6467,s2880,s9256]) ).

cnf(s9376,plain,
    ( ~ spl0_1
    | ~ spl0_201
    | spl0_31
    | ~ spl0_607
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_196
    | spl0_370 ),
    inference(rat,[],[s2353,s2651,s6659,s6092,s3511,s4216,s6121,s6955,s6396,s1208,s3271,s2436,s6120,s2721,s2122,s6400,s4961,s3003,s1688,s2524,s605,s9257]) ).

cnf(s9377,plain,
    ( ~ spl0_383
    | ~ spl0_360
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8845,s5988,s8034,s9376,s1653,s3021,s6810,s9375,s8918,s6957,s9371,s1688,s9365,s6467,s9367,s10,s1982]) ).

cnf(s9378,plain,
    ( ~ spl0_360
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2309,s7382,s6200,s8250,s9265,s6960,s2151,s4863,s6080,s3003,s7381,s5950,s8034,s37,s5510,s7235,s1724,s9377,s4686,s9365,s6467,s9367,s10,s1982]) ).

cnf(s9379,plain,
    ( spl0_31
    | ~ spl0_423
    | ~ spl0_364
    | ~ spl0_304
    | ~ spl0_368
    | ~ spl0_10
    | ~ spl0_302
    | ~ spl0_1
    | spl0_323
    | ~ spl0_361
    | ~ spl0_371
    | ~ spl0_196
    | spl0_370 ),
    inference(rat,[],[s6132,s3511,s6962,s6659,s2721,s6446,s1241,s8614,s22,s7383,s2002,s5837,s5893,s9268,s2079,s4146,s2151,s5120,s9257]) ).

cnf(s9381,plain,
    ( ~ spl0_309
    | spl0_320
    | ~ spl0_364
    | ~ spl0_319
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_366 ),
    inference(rat,[],[s8614,s7383,s22,s2645,s6240,s2002]) ).

cnf(s9382,plain,
    ( spl0_31
    | ~ spl0_201
    | ~ spl0_319
    | ~ spl0_302
    | ~ spl0_1
    | spl0_323
    | ~ spl0_371
    | ~ spl0_366
    | spl0_370 ),
    inference(rat,[],[s83,s1241,s6659,s2140,s3511,s7681,s6121,s1208,s9381,s1996,s2079,s6955,s6308,s605,s2151,s3003,s7380,s4866,s5144,s9257]) ).

cnf(s9383,plain,
    ( ~ spl0_206
    | ~ spl0_31
    | ~ spl0_302
    | ~ spl0_361
    | spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s5837,s7381,s4326,s6774,s6205,s6467]) ).

cnf(s9384,plain,
    ( ~ spl0_201
    | ~ spl0_302
    | ~ spl0_1
    | spl0_323
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3510,s307,s142,s3499,s4850,s6969,s2640,s5373,s7351,s8079,s9383,s6543,s4936,s4453,s131,s37,s7750,s2296,s9382,s6955,s6308,s605,s6467,s7382,s8724,s9378,s2151,s3003,s9367,s10,s1982,s5120,s9365,s9256]) ).

cnf(s9385,plain,
    ( ~ spl0_302
    | ~ spl0_1
    | spl0_323
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9379,s7380,s5901,s4866,s6955,s2105,s6228,s6306,s9383,s7227,s7353,s2029,s1653,s9384,s1688,s6467,s2151,s5850,s7382,s8724,s9378,s4686,s9365,s3003,s9367,s10,s1982]) ).

cnf(s9386,plain,
    ( spl0_201
    | ~ spl0_301
    | ~ spl0_1
    | spl0_193
    | spl0_323
    | ~ spl0_361
    | ~ spl0_371
    | spl0_200
    | ~ spl0_11
    | ~ spl0_196
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s7344,s2721,s6400,s1241,s2079,s6205,s6058,s6956,s1202,s7764,s5434,s6960,s6306,s7227,s7353,s6964,s2151,s3003,s8918,s9259,s9257]) ).

cnf(s9387,plain,
    ( ~ spl0_1
    | spl0_323
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2341,s6306,s3463,s7764,s6955,s6308,s605,s9386,s6957,s9385,s3003,s1688,s6467,s9367,s10,s1982,s2151,s5850,s7382,s8724,s9378,s4686,s9365]) ).

cnf(s9388,plain,
    ( ~ spl0_99
    | ~ spl0_250
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s2179,s6174,s274,s7364]) ).

cnf(s9389,plain,
    ( ~ spl0_302
    | spl0_99
    | ~ spl0_364
    | spl0_346
    | spl0_31
    | ~ spl0_195
    | spl0_206
    | spl0_323
    | ~ spl0_371
    | spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s7287,s8590,s2444,s6121,s9268,s1208,s2645,s5901,s2140,s6955,s5712,s7774,s9036,s3276,s2151,s1997,s2524]) ).

cnf(s9390,plain,
    ( spl0_323
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6903,s8058,s1202,s6957,s9389,s9388,s7380,s3204,s3806,s2631,s5802,s5434,s6092,s6960,s605,s2524,s3334,s538,s1997,s2341,s7353,s2296,s5988,s5733,s4489,s8034,s15,s9387,s5850,s2151,s1688,s4686,s9365,s6467,s6964,s9367,s10,s1982,s7382,s8724,s9378,s9259,s9257,s9256]) ).

cnf(s9391,plain,
    ( ~ spl0_302
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_361
    | spl0_360
    | ~ spl0_371
    | ~ spl0_14
    | ~ spl0_443
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8980,s8845,s6976,s8951,s3832,s6114,s7381,s6955,s2105,s6365,s4866,s7380,s3016]) ).

cnf(s9392,plain,
    ( ~ spl0_303
    | ~ spl0_383
    | ~ spl0_323
    | spl0_360
    | ~ spl0_371
    | ~ spl0_443
    | spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s3551,s3561,s7381,s8898,s5902,s2880,s2952,s3334,s3806,s7380,s3016,s6467,s7382,s8724]) ).

cnf(s9393,plain,
    ( ~ spl0_32
    | ~ spl0_304
    | ~ spl0_239
    | ~ spl0_301
    | ~ spl0_37
    | spl0_200
    | ~ spl0_196 ),
    inference(rat,[],[s2436,s1649,s2721,s6507,s5026,s203,s9257,s9259]) ).

cnf(s9394,plain,
    ( ~ spl0_383
    | ~ spl0_301
    | ~ spl0_1
    | ~ spl0_323
    | spl0_360
    | ~ spl0_371
    | spl0_200
    | spl0_192
    | spl0_386
    | ~ spl0_196
    | ~ spl0_223 ),
    inference(rat,[],[s53,s5025,s7988,s7337,s2122,s2436,s6446,s7576,s83,s6659,s9393,s6955,s9392,s4146,s6172,s37,s3115,s5988,s3334,s3806,s2880,s6964,s7382,s8724,s2524,s6810,s7380,s3016,s605,s1653,s3021,s6467,s9257]) ).

cnf(s9395,plain,
    ( ~ spl0_1
    | spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3474,s5624,s142,s3637,s175,s160,s53,s5025,s6113,s171,s5892,s7337,s2122,s145,s2436,s6446,s7576,s83,s6659,s9393,s6955,s5222,s2105,s4453,s4146,s7381,s37,s5510,s7235,s1724,s9394,s605,s1653,s3021,s6957,s9391,s4686,s9365,s6964,s9367,s10,s1982,s2524,s6810,s7380,s3016,s131,s7987,s9390,s7382,s8724,s9378,s6467,s9257]) ).

cnf(s9396,plain,
    ( spl0_200
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8845,s5988,s8034,s9395,s9390,s9367,s10,s1982,s6467]) ).

cnf(s9397,plain,
    ( ~ spl0_31
    | ~ spl0_13
    | ~ spl0_223
    | ~ spl0_200
    | ~ spl0_11 ),
    inference(rat,[],[s6813,s9320]) ).

cnf(s9398,plain,
    ( ~ spl0_13
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7454,s8462,s2436,s1212,s2721,s2122,s3549,s3158,s2688,s7381,s2718,s5999,s605,s3921,s5975,s1653,s7235,s7225,s5988,s6398,s8034,s1,s2011,s2524,s9397,s255,s1688,s6467,s3953,s2219,s9396,s9365,s9256]) ).

cnf(s9399,plain,
    ( spl0_323
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7321,s2692,s9370,s3158,s8724,s7381,s7382,s5999,s5632,s5975,s1653,s5988,s5733,s4489,s8034,s15,s5736,s6467,s3953,s2219,s9396,s9365,s9367,s10,s9398]) ).

cnf(s9400,plain,
    ( ~ spl0_383
    | ~ spl0_1
    | ~ spl0_371
    | spl0_9
    | spl0_465
    | ~ spl0_11 ),
    inference(rat,[],[s2309,s7382,s2682,s5632,s5625]) ).

cnf(s9401,plain,
    ( ~ spl0_1
    | spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4708,s9265,s4437,s7381,s37,s5510,s7235,s1724,s9400,s6467,s3953,s2219,s9396,s9365,s9367,s10,s9398,s9399]) ).

cnf(s9402,plain,
    ( spl0_192
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8845,s5988,s8034,s9401,s9399,s9367,s10,s9398,s6467]) ).

cnf(s9403,plain,
    ( spl0_200
    | spl0_371
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9057,s9372,s605,s4726,s5141,s4478,s5120,s2151,s3016,s7380,s3768,s3276,s6956,s6957,s6976,s6115,s6105,s8556,s10,s1982,s1688,s9365,s9402,s1690]) ).

cnf(s9404,plain,
    ( ~ spl0_1
    | spl0_371
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9397,s10,s2524,s8556,s9309,s1724,s1840,s2295,s9402,s9403]) ).

cnf(s9405,plain,
    ( spl0_323
    | ~ spl0_397
    | ~ spl0_346
    | ~ spl0_100
    | ~ spl0_217
    | ~ spl0_201
    | ~ spl0_200
    | spl0_371
    | ~ spl0_192
    | spl0_386
    | ~ spl0_313 ),
    inference(rat,[],[s305,s3794,s8351,s3621,s6101,s6957,s6955,s1638,s2766,s4930,s5144,s7382,s5040,s2151]) ).

cnf(s9406,plain,
    ( spl0_371
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7304,s9405,s6332,s2154,s7381,s4969,s10,s5142,s131,s6468,s7763,s1653,s8099,s7225,s5988,s5672,s8034,s9404,s681,s9403,s1688,s4686,s9365,s9402]) ).

cnf(s9407,plain,
    ( spl0_323
    | ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4726,s5120,s7381,s6957,s5510,s7764,s1724,s6955,s3806,s3768,s7380,s4238,s6960,s6173,s6306,s37,s5988,s1910,s7382,s5736,s5040,s2151,s4686,s9365,s9402,s10,s1982,s3003,s9406]) ).

cnf(s9408,plain,
    ( ~ spl0_1
    | spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8951,s8980,s6114,s2944,s4868,s2275,s2880,s6976,s3832,s7381,s5142,s1653,s3041,s6955,s3768,s7380,s3016,s9407,s9365,s9402,s9406,s6964,s10,s1982]) ).

cnf(s9409,plain,
    ( ~ spl0_302
    | spl0_395
    | ~ spl0_362
    | spl0_99
    | ~ spl0_348
    | spl0_327
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s5281,s4263,s6543,s7380,s4936,s4866,s3276]) ).

cnf(s9410,plain,
    ( ~ spl0_303
    | ~ spl0_301
    | spl0_495
    | spl0_395
    | ~ spl0_538
    | ~ spl0_362
    | spl0_493
    | ~ spl0_348
    | spl0_193
    | spl0_327
    | spl0_320
    | ~ spl0_4
    | ~ spl0_19
    | spl0_200
    | ~ spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s6903,s8058,s1202,s5802,s5434,s6092,s6960,s2330,s1745,s1731,s142,s2170,s4923,s2596,s7316,s7351,s2755,s3332,s6543,s5281,s4263,s7380,s5100,s3768,s6964,s605,s7381,s5142,s7353,s7334,s9259,s9257]) ).

cnf(s9411,plain,
    ( spl0_200
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7390,s6150,s7587,s5689,s6969,s307,s8010,s3691,s2330,s3000,s6543,s5281,s4263,s7380,s5843,s3463,s5016,s7764,s6955,s9410,s6957,s9409,s2737,s4930,s4969,s1946,s131,s6360,s7382,s9388,s7381,s3204,s5040,s2151,s2631,s4199,s5142,s5144,s2524,s8845,s538,s1997,s4708,s2880,s4052,s7353,s2296,s5988,s4489,s5733,s6139,s8034,s1,s15,s9408,s10,s1982,s1688,s4686,s9365,s9402,s9406,s9256]) ).

cnf(s9412,plain,
    ( ~ spl0_1
    | ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s4519,s5510,s5515,s10,s37,s2011,s7235,s1724,s6810,s9400,s5736,s9402,s9406,s681,s3953,s2219,s9411,s9365,s9256]) ).

cnf(s9413,plain,
    ( ~ spl0_303
    | ~ spl0_301
    | spl0_493
    | spl0_327
    | ~ spl0_348
    | spl0_31
    | spl0_206
    | ~ spl0_19
    | ~ spl0_200
    | ~ spl0_371
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s3734,s8058,s8055,s5802,s6092,s6283,s5100,s3953,s605,s1653,s9257]) ).

cnf(s9414,plain,
    ( ~ spl0_360
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_367
    | ~ spl0_239
    | ~ spl0_362
    | spl0_484
    | spl0_323
    | spl0_31
    | ~ spl0_192
    | ~ spl0_196 ),
    inference(rat,[],[s8571,s1208,s1241,s2436,s7380,s9374,s4861,s2524]) ).

cnf(s9415,plain,
    ( ~ spl0_306
    | ~ spl0_594
    | ~ spl0_362
    | spl0_323
    | spl0_31
    | ~ spl0_192 ),
    inference(rat,[],[s3011,s8599,s1241,s3204,s2524]) ).

cnf(s9416,plain,
    ( ~ spl0_364
    | ~ spl0_304
    | ~ spl0_367
    | spl0_395
    | ~ spl0_222
    | ~ spl0_239
    | ~ spl0_362
    | spl0_323
    | spl0_31
    | ~ spl0_192
    | ~ spl0_196 ),
    inference(rat,[],[s1208,s2436,s8571,s8700,s9415,s3000,s6543,s5281,s4263,s2524,s2151]) ).

cnf(s9417,plain,
    ( ~ spl0_11
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6682,s6962,s7383,s3011,s2721,s3483,s1241,s8055,s5802,s2678,s7380,s9416,s9414,s6955,s9413,s6957,s9409,s7381,s4969,s1946,s3204,s5142,s605,s7382,s8777,s2151,s131,s2880,s2524,s1653,s5633,s8845,s8099,s7235,s2296,s7225,s5988,s8034,s15,s9412,s3953,s9411,s9406,s1688,s9365,s9402,s9257,s9256]) ).

cnf(s9418,plain,
    ( spl0_4
    | spl0_323
    | ~ spl0_364
    | spl0_466
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s538,s4238,s2733,s6960,s5515,s6306,s37,s2151,s7382,s5040,s4686]) ).

cnf(s9419,plain,
    ( spl0_31
    | spl0_9
    | spl0_341
    | ~ spl0_4
    | spl0_65
    | ~ spl0_438
    | ~ spl0_206
    | ~ spl0_319
    | spl0_323
    | ~ spl0_303
    | ~ spl0_1
    | ~ spl0_192 ),
    inference(rat,[],[s72,s3011,s6506,s2718,s67,s6234,s2002,s3585,s2979,s203,s5298,s6659,s3204,s2353,s2524,s9259]) ).

cnf(s9420,plain,
    ( ~ spl0_31
    | spl0_341
    | ~ spl0_560
    | spl0_323
    | ~ spl0_303
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s6855,s7337,s7383,s5661,s3619,s2721,s3772,s4395,s5018,s7380,s3768]) ).

cnf(s9421,plain,
    ( spl0_323
    | ~ spl0_303
    | ~ spl0_302
    | spl0_200
    | spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s3585,s2140,s6961,s5405,s5476,s5429,s6439,s2952,s1910,s4237,s3204,s9419,s5712,s2524,s9420,s6448,s9418,s76,s3970,s4713,s7381,s6298,s3271,s4726,s7382,s5141,s5120,s5040,s2151,s4686,s8653,s1690,s3276,s3664,s7380,s3768,s9257]) ).

cnf(s9422,plain,
    ( ~ spl0_42
    | ~ spl0_206
    | spl0_507
    | spl0_526
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_196 ),
    inference(rat,[],[s3718,s2977,s2832]) ).

cnf(s9423,plain,
    ( ~ spl0_206
    | spl0_507
    | spl0_526
    | ~ spl0_323
    | ~ spl0_303
    | ~ spl0_302
    | spl0_11
    | ~ spl0_196 ),
    inference(rat,[],[s2524,s4961,s5018,s3772,s6445,s5297,s9422,s3276,s4828]) ).

cnf(s9424,plain,
    ( spl0_200
    | spl0_371
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6439,s5476,s1910,s1208,s2353,s3718,s6659,s2832,s203,s4237,s6445,s9329,s4961,s1997,s2524,s9334,s3970,s7381,s7973,s1653,s9423,s5803,s5449,s37,s9338,s7382,s3887,s4828,s9421,s7380,s3768,s3276,s6956,s6957,s6976,s6115,s6105,s8556,s10,s1982,s1688,s9365,s9402,s8653,s9417,s1690,s9257,s9259]) ).

cnf(s9425,plain,
    ( spl0_371
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4860,s4828,s3920,s5661,s6957,s2140,s5004,s7525,s6955,s7006,s6962,s5503,s83,s5461,s5579,s2154,s255,s5018,s10,s2524,s8556,s9309,s1724,s1840,s2295,s9424,s9365,s9402,s8653,s9417,s9256]) ).

cnf(s9426,plain,
    ( spl0_4
    | spl0_200
    | spl0_323
    | spl0_466
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | spl0_370 ),
    inference(rat,[],[s4726,s5120,s7381,s6957,s3832,s7764,s1724,s6955,s3806,s3768,s7380,s6960,s6173,s9418,s6306,s37,s2151,s10,s1982]) ).

cnf(s9427,plain,
    ( ~ spl0_100
    | ~ spl0_364
    | spl0_195
    | spl0_323
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s7983,s4930,s4969,s3463,s4238,s7382,s5040,s4686]) ).

cnf(s9428,plain,
    ( ~ spl0_303
    | ~ spl0_560
    | ~ spl0_319
    | ~ spl0_4
    | ~ spl0_9
    | spl0_323
    | spl0_466
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s3867,s4239,s6641,s307,s162,s186,s131,s9427,s1798,s6855,s469,s7337,s44,s1241,s72,s3011,s5731,s76,s4256,s5712,s4713,s7380,s9420,s3271,s3768,s2151,s7382,s5040,s4686,s1910,s6448,s2219,s9256,s9257]) ).

cnf(s9429,plain,
    ( spl0_31
    | ~ spl0_304
    | ~ spl0_319
    | ~ spl0_302
    | ~ spl0_4
    | ~ spl0_443
    | spl0_502
    | spl0_323
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_192
    | spl0_386
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s6198,s2275,s4231,s6135,s4643,s5247,s67,s2002,s6961,s5476,s5893,s4237,s9292,s5712,s3003,s2151,s7382,s5040,s6976,s8562,s7381,s4726,s1910,s5736]) ).

cnf(s9430,plain,
    ( ~ spl0_302
    | ~ spl0_4
    | spl0_502
    | spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s5428,s8357,s5298,s1208,s3259,s7383,s2002,s3619,s4395,s5018,s9429,s6955,s9428,s3073,s6976,s8562,s3970,s7381,s4726,s5120,s4686,s3003,s6964,s6448,s2219,s3645,s1910,s5736,s8653,s9257]) ).

cnf(s9431,plain,
    ( spl0_31
    | spl0_320
    | spl0_65
    | spl0_38
    | ~ spl0_364
    | ~ spl0_206
    | spl0_526
    | spl0_323
    | spl0_466
    | ~ spl0_366 ),
    inference(rat,[],[s6240,s1798,s2977,s6855,s44,s7337,s72,s1241,s5712,s2151]) ).

cnf(s9432,plain,
    ( ~ spl0_303
    | ~ spl0_301
    | spl0_526
    | ~ spl0_4
    | spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s2977,s5297,s2650,s4659,s351,s5018,s9431,s2024,s4750,s3497,s7381,s6403,s3970,s6969,s4983,s5109,s7316,s5326,s3652,s5140,s3273,s4239,s3152,s307,s76,s162,s4713,s186,s3011,s2651,s131,s5731,s3463,s9427,s4256,s4238,s7380,s2067,s3768,s3003,s2151,s7382,s5040,s4686,s1910,s2219,s5736,s8653,s9257]) ).

cnf(s9433,plain,
    ( ~ spl0_364
    | spl0_580
    | ~ spl0_206
    | spl0_38
    | spl0_31
    | spl0_65
    | ~ spl0_304
    | spl0_526
    | spl0_195
    | ~ spl0_362
    | spl0_323
    | spl0_466
    | ~ spl0_366 ),
    inference(rat,[],[s6550,s4750,s4231,s5731,s9431,s6198,s4256,s5712,s2151,s9257]) ).

cnf(s9434,plain,
    ( spl0_31
    | ~ spl0_304
    | ~ spl0_301
    | spl0_526
    | spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s8670,s307,s4750,s162,s2718,s186,s6444,s8245,s4726,s8017,s7381,s1724,s8951,s2275,s7380,s9433,s6659,s203,s6506,s4643,s67,s3780,s2977,s5405,s44,s7337,s72,s1241,s8668,s2721,s5004,s4237,s7006,s5712,s2524,s3003,s2151,s7382,s5040,s4686,s1910,s6964,s6114,s76,s4713,s2651,s3463,s7764,s2219,s5736,s8653,s9259]) ).

cnf(s9435,plain,
    ( ~ spl0_364
    | ~ spl0_606
    | ~ spl0_9
    | spl0_323
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s5140,s5689,s4239,s307,s162,s186,s131,s9427,s7382,s5040,s4686,s1910]) ).

cnf(s9436,plain,
    ( ~ spl0_38
    | ~ spl0_304
    | ~ spl0_301
    | spl0_200
    | ~ spl0_1
    | ~ spl0_196 ),
    inference(rat,[],[s5026,s6659,s2721,s83]) ).

cnf(s9437,plain,
    ( spl0_323
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1796,s6747,s3619,s4659,s2122,s5014,s7337,s5661,s9436,s7381,s8951,s7380,s9435,s5018,s9434,s6114,s2651,s3463,s5016,s7764,s6955,s9432,s6957,s9430,s5449,s9426,s6964,s6439,s2219,s1910,s7382,s5736,s5040,s1688,s4686,s9365,s9402,s3003,s9425,s8653,s9417,s9257]) ).

cnf(s9438,plain,
    ( ~ spl0_10
    | ~ spl0_303
    | ~ spl0_443
    | ~ spl0_360
    | spl0_466
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s7391,s8562,s3073,s7381,s4480,s2105,s7382,s4238,s538,s6960,s2733,s4863,s5515,s5100,s7380,s3768]) ).

cnf(s9439,plain,
    ( spl0_99
    | ~ spl0_132
    | ~ spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_360
    | spl0_466 ),
    inference(rat,[],[s5281,s6543,s4263,s4972,s5828,s131]) ).

cnf(s9440,plain,
    ( ~ spl0_395
    | ~ spl0_99
    | ~ spl0_90
    | ~ spl0_195
    | ~ spl0_377
    | ~ spl0_60
    | ~ spl0_1
    | ~ spl0_192 ),
    inference(rat,[],[s6641,s3867,s3790]) ).

cnf(s9441,plain,
    ( ~ spl0_195
    | ~ spl0_367
    | ~ spl0_392
    | ~ spl0_377
    | ~ spl0_60
    | spl0_31
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_327
    | ~ spl0_360
    | spl0_466
    | spl0_11
    | ~ spl0_192 ),
    inference(rat,[],[s7354,s2911,s2596,s6969,s2170,s7587,s7334,s9440,s9439,s7389,s6462,s459,s4410,s76,s72,s47,s6506,s6507,s203,s6659,s2353,s1910,s8653,s3011,s67,s6464,s2524,s9257,s9259]) ).

cnf(s9442,plain,
    ( spl0_31
    | ~ spl0_302
    | ~ spl0_303
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6649,s4922,s131,s2490,s5140,s4969,s6332,s5614,s3552,s7389,s6462,s4410,s76,s72,s6506,s203,s6659,s2353,s2651,s4230,s2952,s9441,s3073,s6976,s6449,s5940,s5510,s3970,s67,s7381,s6464,s4750,s3011,s2718,s8763,s7337,s6240,s2106,s1798,s2977,s469,s3950,s6445,s6198,s9423,s4961,s9330,s2524,s4686,s10,s1982,s5100,s7380,s3768,s5449,s37,s9438,s6964,s3003,s8653,s9425,s9365,s3580,s7382,s3887,s4828,s9437,s9417,s9402,s9259,s9256,s9257]) ).

cnf(s9443,plain,
    ( ~ spl0_368
    | ~ spl0_23
    | ~ spl0_302
    | spl0_526
    | ~ spl0_303
    | ~ spl0_323
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s7287,s8763,s4750,s3706,s7337,s6240,s2106,s2977,s5297,s3619,s1798,s3950,s9423,s7973,s5100,s7380,s3768,s7382,s3887,s4828]) ).

cnf(s9444,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1796,s9342,s3619,s4395,s3970,s7381,s9443,s5018,s9442,s7380,s3768,s5449,s6448,s37,s9438,s6964,s4828,s9437,s3003,s8653,s9417,s9425,s9402,s9365,s9257]) ).

cnf(s9445,plain,
    ( spl0_31
    | ~ spl0_303
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6649,s4922,s131,s2490,s5140,s4969,s6332,s5614,s3552,s2952,s9441,s7382,s4480,s7389,s3073,s6462,s6976,s6449,s4410,s5510,s3970,s76,s7381,s72,s5708,s2718,s6506,s1798,s8763,s67,s3059,s7337,s3780,s2721,s4351,s2106,s2122,s469,s2979,s203,s6400,s6445,s5298,s6659,s1653,s4961,s2353,s9376,s2524,s10,s1982,s5100,s7380,s3768,s6448,s8918,s1688,s2651,s3713,s5011,s6957,s9444,s37,s9438,s3003,s8653,s9425,s9402,s9365,s6964,s4828,s9437,s9417,s9256,s9259,s9257]) ).

cnf(s9446,plain,
    ( ~ spl0_38
    | ~ spl0_362
    | ~ spl0_31
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_192 ),
    inference(rat,[],[s3799,s5113,s2680,s3011]) ).

cnf(s9447,plain,
    ( spl0_418
    | ~ spl0_368
    | ~ spl0_362
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_607
    | ~ spl0_364
    | ~ spl0_323
    | ~ spl0_196 ),
    inference(rat,[],[s4659,s2122,s5113,s6400,s7006]) ).

cnf(s9448,plain,
    ( ~ spl0_368
    | ~ spl0_362
    | ~ spl0_31
    | ~ spl0_346
    | ~ spl0_607
    | spl0_526
    | ~ spl0_364
    | ~ spl0_303
    | ~ spl0_323
    | spl0_11
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s1796,s3059,s6240,s2106,s203,s2977,s6659,s5297,s3706,s5461,s3772,s9447,s7973,s8653,s5100,s4828,s5018,s9259]) ).

cnf(s9449,plain,
    ( ~ spl0_362
    | ~ spl0_303
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2832,s2106,s3950,s2977,s1653,s7383,s6445,s9346,s3619,s3772,s6976,s4395,s5510,s3970,s7381,s9448,s10,s1982,s5100,s7380,s3768,s5449,s6448,s8918,s1688,s3713,s5011,s6957,s9444,s37,s9438,s4828,s9437,s3003,s8653,s9425,s9402,s9365,s6964,s5018,s9445,s9417,s9257]) ).

cnf(s9450,plain,
    ( ~ spl0_303
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7391,s5510,s3073,s7381,s4480,s2105,s7382,s9449,s5100,s9365,s9402,s9425,s4828,s9437,s9417,s10,s1982]) ).

cnf(s9451,plain,
    ( ~ spl0_10
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_360
    | spl0_466
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s4238,s538,s6960,s2733,s4863,s5515]) ).

cnf(s9452,plain,
    ( ~ spl0_302
    | ~ spl0_206
    | ~ spl0_368
    | spl0_418
    | spl0_526
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4750,s2718,s6240,s8763,s1798,s7337,s3950,s3718,s9422,s2977,s6445]) ).

cnf(s9453,plain,
    ( ~ spl0_368
    | spl0_31
    | ~ spl0_362
    | ~ spl0_364
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9359,s3645,s2832,s3259,s3950,s5298,s7383,s2353,s5708,s131,s4860,s2651,s4351,s8533,s5034,s5004,s5011,s8918,s6957,s9452,s2977,s7973,s1688,s4817,s6955,s9450,s5449,s37,s9451,s9402,s9365,s7006,s6445,s4961,s2524,s4828,s3003,s9425,s8653,s9417,s9437,s9257]) ).

cnf(s9454,plain,
    ( ~ spl0_302
    | spl0_484
    | ~ spl0_580
    | ~ spl0_42
    | spl0_31
    | spl0_526
    | ~ spl0_304
    | spl0_200
    | ~ spl0_360
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s2122,s7525,s3780,s7337,s67,s3718,s4643,s2977,s9330,s4686,s4961,s2524,s3003,s8653]) ).

cnf(s9455,plain,
    ( spl0_31
    | ~ spl0_362
    | ~ spl0_364
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s67,s3780,s4643,s2977,s1653,s5004,s9376,s8918,s6957,s9454,s2880,s6976,s4231,s5510,s7381,s9453,s6445,s6198,s7006,s4961,s2524,s1688,s10,s1982,s6955,s9450,s5449,s37,s9451,s4828,s9437,s3003,s9425,s8653,s9417,s9402,s9365,s9257]) ).

cnf(s9456,plain,
    ( ~ spl0_362
    | ~ spl0_364
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2395,s6406,s5424,s4972,s131,s9359,s1649,s3645,s6507,s2291,s3259,s203,s5298,s6659,s9344,s4860,s3713,s5011,s8918,s6957,s9342,s3014,s7383,s3619,s4395,s5018,s9455,s6448,s37,s9451,s1688,s9365,s9402,s3003,s9425,s8653,s4828,s9417,s6964,s4817,s6955,s9450,s9437,s9257,s9259]) ).

cnf(s9457,plain,
    ( spl0_20
    | spl0_389
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_368
    | ~ spl0_301
    | ~ spl0_304
    | spl0_200
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s5708,s4351,s2979,s3259,s5026,s5298,s6659,s6448,s9257]) ).

cnf(s9458,plain,
    ( ~ spl0_364
    | spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1796,s9344,s3619,s4395,s5018,s2353,s9457,s3645,s6448,s7973,s37,s7381,s4863,s2651,s3832,s3463,s1724,s7764,s3073,s539,s6957,s4480,s3887,s7382,s9456,s9365,s9402,s3003,s9425,s8653,s4828,s9417,s10,s1982,s4817,s6955,s9450,s9437,s9257]) ).

cnf(s9459,plain,
    ( spl0_31
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_206
    | ~ spl0_368
    | ~ spl0_301
    | ~ spl0_304
    | spl0_200
    | ~ spl0_360
    | ~ spl0_323
    | spl0_466
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s7587,s6969,s7389,s3952,s5140,s6150,s3782,s2083,s5689,s6641,s307,s2140,s9358,s2492,s7382,s5708,s3334,s4351,s469,s3645,s2979,s5026,s203,s6445,s9457,s5298,s6659,s4961,s2353,s2524,s4817,s5016,s2651,s4860,s6448,s37,s4863,s3463,s7764,s9256,s9257,s9259]) ).

cnf(s9460,plain,
    ( spl0_87
    | ~ spl0_60
    | ~ spl0_315
    | ~ spl0_23
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_606 ),
    inference(rat,[],[s4856,s5689,s6641,s307]) ).

cnf(s9461,plain,
    ( spl0_200
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2282,s9457,s319,s4974,s5043,s171,s3881,s4856,s5140,s4983,s6395,s6969,s6171,s9460,s469,s6470,s4659,s3619,s4395,s5018,s9459,s186,s6448,s131,s37,s8533,s7973,s4860,s4863,s7381,s3463,s3832,s5016,s7764,s8918,s1724,s6957,s2880,s3580,s7772,s7380,s9458,s4817,s6955,s9450,s10,s1982,s1688,s9365,s9402,s3003,s9425,s8653,s4828,s9437,s9417,s9256,s9257]) ).

cnf(s9462,plain,
    ( ~ spl0_364
    | ~ spl0_309
    | ~ spl0_368
    | spl0_505
    | spl0_418
    | ~ spl0_366 ),
    inference(rat,[],[s4750,s6240,s2718,s1798,s4228,s6447,s6198]) ).

cnf(s9463,plain,
    ( ~ spl0_362
    | ~ spl0_90
    | spl0_377
    | ~ spl0_99
    | ~ spl0_417
    | spl0_596
    | ~ spl0_304
    | ~ spl0_309
    | ~ spl0_60
    | ~ spl0_58
    | ~ spl0_301
    | ~ spl0_381
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366 ),
    inference(rat,[],[s5373,s2640,s6969,s7351,s6543,s3952,s2722,s4964,s3782,s3966,s6641,s2140,s9358,s2492,s8017,s4817]) ).

cnf(s9464,plain,
    ( spl0_31
    | ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3334,s7382,s3645,s9463,s3259,s186,s5708,s131,s4351,s4860,s8533,s6444,s5004,s9104,s6101,s2718,s6955,s3972,s3768,s7380,s9462,s2977,s469,s5298,s5449,s37,s5515,s4519,s7973,s7381,s3060,s203,s3832,s6445,s7006,s6659,s10,s4961,s2353,s2011,s2524,s3003,s681,s2219,s9365,s1724,s1840,s9402,s6957,s2828,s2295,s9461,s8653,s9425,s4828,s9437,s9417,s9257,s9256,s9259]) ).

cnf(s9465,plain,
    ( spl0_385
    | ~ spl0_381
    | ~ spl0_199
    | ~ spl0_366
    | ~ spl0_313 ),
    inference(rat,[],[s4360,s4257,s2952,s7381,s538,s4519,s2733]) ).

cnf(s9466,plain,
    ( ~ spl0_303
    | ~ spl0_364
    | ~ spl0_206
    | spl0_526
    | ~ spl0_4
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_360
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s3619,s5297,s2586,s2977,s6659,s2106,s6453,s5138,s2096,s5251,s5100,s5503,s1724,s1840,s2295,s9257]) ).

cnf(s9467,plain,
    ( spl0_315
    | ~ spl0_29
    | ~ spl0_99
    | ~ spl0_417
    | ~ spl0_304
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_206
    | ~ spl0_368
    | ~ spl0_565
    | spl0_526
    | ~ spl0_4
    | ~ spl0_301
    | ~ spl0_323
    | spl0_11
    | ~ spl0_192
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s4750,s6240,s5731,s3259,s4256,s3645,s9359,s2977,s5014,s5297,s6962,s4828,s4817,s9257]) ).

cnf(s9468,plain,
    ( ~ spl0_364
    | ~ spl0_362
    | ~ spl0_368
    | ~ spl0_565
    | spl0_526
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s9359,s3645,s3059,s3259,s7383,s3619,s9467,s203,s5298,s6659,s5461,s131,s4860,s9447,s8533,s5034,s6101,s4817,s6955,s9466,s3003,s6957,s2828,s4828,s5018,s37,s5515,s9465,s1724,s1840,s2295,s8653,s681,s7973,s9257,s9259]) ).

cnf(s9469,plain,
    ( spl0_315
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_346
    | ~ spl0_304
    | ~ spl0_484
    | ~ spl0_362
    | ~ spl0_206
    | spl0_526
    | ~ spl0_4
    | ~ spl0_23
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_223 ),
    inference(rat,[],[s5373,s2640,s6969,s7351,s6543,s3952,s2722,s4964,s3782,s3966,s6641,s9358,s3645,s3259,s5298,s2879,s5461,s469,s2977,s5014,s6400,s5297,s6962,s4817,s6101,s4860,s9257,s9256]) ).

cnf(s9470,plain,
    ( ~ spl0_362
    | ~ spl0_368
    | ~ spl0_565
    | spl0_526
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s4980,s7316,s4964,s4856,s3966,s6641,s9358,s2832,s469,s3645,s3950,s6470,s3259,s7383,s5298,s4659,s3619,s5579,s9469,s186,s131,s4860,s8533,s5034,s6101,s4817,s6955,s7772,s3768,s7380,s9468,s3003,s6957,s2828,s4828,s5018,s37,s5515,s9465,s1724,s1840,s2295,s8653,s681,s7973,s9256,s9257]) ).

cnf(s9471,plain,
    ( ~ spl0_429
    | ~ spl0_346
    | ~ spl0_304
    | spl0_389
    | ~ spl0_361
    | ~ spl0_4
    | ~ spl0_23
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s3259,s5298,s3907,s5461,s5014,s6400,s6101]) ).

cnf(s9472,plain,
    ( ~ spl0_368
    | ~ spl0_565
    | spl0_526
    | ~ spl0_31
    | ~ spl0_200
    | ~ spl0_323
    | ~ spl0_371
    | spl0_11
    | ~ spl0_192
    | ~ spl0_196
    | ~ spl0_366
    | ~ spl0_313
    | ~ spl0_223 ),
    inference(rat,[],[s3259,s5298,s3619,s5579,s2122,s9471,s5034,s6955,s3645,s5100,s5633,s2105,s7382,s9470,s7973,s3953,s6957,s2828,s4828,s5018,s37,s5515,s9465,s1724,s1840,s2295,s8653,s681,s9257]) ).

cnf(s9473,plain,
    ( ~ spl0_366
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4191,s6962,s4954,s5579,s2900,s255,s10,s5510,s7381,s9472,s5011,s5449,s37,s5515,s9465,s5018,s9464,s6957,s1724,s2828,s1840,s2295,s681,s9461,s4828,s9437,s9425,s8653,s9417,s9402,s9365,s1688,s9256,s9257]) ).

cnf(s9474,plain,
    ( ~ spl0_360
    | spl0_417
    | ~ spl0_319
    | ~ spl0_17
    | ~ spl0_1
    | ~ spl0_348
    | ~ spl0_313 ),
    inference(rat,[],[s5901,s2214,s6960,s6955,s1690,s4860,s3271,s6080]) ).

cnf(s9475,plain,
    ( ~ spl0_309
    | ~ spl0_302
    | ~ spl0_361
    | ~ spl0_319
    | ~ spl0_368
    | ~ spl0_345
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s1716,s5837,s8410,s9259]) ).

cnf(s9476,plain,
    ( spl0_346
    | spl0_320
    | spl0_371
    | ~ spl0_361
    | ~ spl0_319
    | ~ spl0_10
    | ~ spl0_368
    | spl0_544
    | spl0_206
    | ~ spl0_345
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s203,s6507,s6659,s1353,s5900,s6062,s6113,s7789,s1208,s9475,s6957,s6105,s10,s2154,s7663,s9259,s9257]) ).

cnf(s9477,plain,
    ( ~ spl0_346
    | spl0_360
    | spl0_327
    | ~ spl0_217
    | ~ spl0_200
    | ~ spl0_345 ),
    inference(rat,[],[s7243,s2766,s6926]) ).

cnf(s9478,plain,
    ( ~ spl0_320
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_201
    | ~ spl0_223 ),
    inference(rat,[],[s5949,s4750,s1996]) ).

cnf(s9479,plain,
    ( spl0_4
    | spl0_323
    | spl0_192
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1208,s9475,s8383,s6957,s6101,s6955,s2067,s9476,s9477,s7382,s5609,s8724,s9474,s6173,s6402,s5950,s8034,s37,s6468,s681,s7663,s3584,s1688,s9478,s7381,s9281,s6467,s2151,s5144,s1653,s3336,s3553,s5127,s7378,s9473]) ).

cnf(s9480,plain,
    ( ~ spl0_303
    | ~ spl0_1
    | spl0_371
    | ~ spl0_360
    | spl0_323
    | ~ spl0_200
    | spl0_206
    | ~ spl0_313 ),
    inference(rat,[],[s6105,s6957,s10,s6201,s2068,s3271,s6283,s2151,s5144,s1653]) ).

cnf(s9481,plain,
    ( ~ spl0_1
    | spl0_371
    | ~ spl0_360
    | spl0_31
    | spl0_323
    | ~ spl0_200
    | spl0_206
    | spl0_370 ),
    inference(rat,[],[s2651,s2011,s2154,s10,s6115,s6955,s9480,s1688,s1690,s9256]) ).

cnf(s9482,plain,
    ( spl0_371
    | ~ spl0_360
    | ~ spl0_100
    | spl0_31
    | ~ spl0_195
    | spl0_323
    | ~ spl0_368
    | ~ spl0_200
    | spl0_206
    | spl0_570
    | ~ spl0_345
    | spl0_370 ),
    inference(rat,[],[s6211,s6406,s6858,s7316,s514,s6066,s46,s267,s2794,s1212,s8351,s9137,s6101,s6955,s6957,s2766,s1638,s2154,s255,s10,s6139,s9481,s6468,s681,s2151,s5144,s1653,s4930,s9256]) ).

cnf(s9483,plain,
    ( ~ spl0_1
    | ~ spl0_371
    | ~ spl0_360
    | spl0_31
    | spl0_323
    | ~ spl0_200
    | spl0_206 ),
    inference(rat,[],[s6593,s2828,s9306,s2295]) ).

cnf(s9484,plain,
    ( ~ spl0_303
    | ~ spl0_13
    | spl0_1
    | ~ spl0_371
    | ~ spl0_360
    | spl0_495
    | spl0_99
    | spl0_493
    | ~ spl0_37
    | ~ spl0_383
    | spl0_327
    | ~ spl0_368
    | spl0_544
    | ~ spl0_201
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s5324,s7337,s5982,s8450,s3734,s7382,s8174,s5902,s3271,s6283,s7663,s1688,s255,s9256]) ).

cnf(s9485,plain,
    ( ~ spl0_309
    | ~ spl0_304
    | ~ spl0_360
    | spl0_493
    | spl0_193
    | ~ spl0_4
    | ~ spl0_368
    | ~ spl0_200
    | ~ spl0_11
    | spl0_206
    | ~ spl0_345
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s8410,s6120,s1716,s2122,s2303,s8098,s4649,s1653,s2296,s9259,s9256]) ).

cnf(s9486,plain,
    ( ~ spl0_360
    | spl0_99
    | ~ spl0_383
    | ~ spl0_195
    | ~ spl0_4
    | spl0_323
    | spl0_320
    | ~ spl0_368
    | spl0_544
    | ~ spl0_11
    | spl0_206
    | spl0_570
    | ~ spl0_345
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s5409,s6101,s7380,s6957,s5843,s8383,s8174,s1208,s9485,s6955,s9484,s255,s10,s6139,s9483,s2880,s9482,s2151,s5144,s1737,s538,s5804,s7663,s1688,s1653,s3204,s2524,s2296,s4930,s131,s9256]) ).

cnf(s9487,plain,
    ( spl0_371
    | ~ spl0_361
    | spl0_346
    | ~ spl0_383
    | spl0_323
    | spl0_320
    | ~ spl0_368
    | spl0_544
    | ~ spl0_201
    | ~ spl0_345
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s31,s5981,s203,s1798,s6507,s6855,s1353,s7337,s6062,s2670,s1212,s7789,s1208,s7380,s9475,s5836,s6201,s6956,s6957,s6115,s6105,s10,s2154,s1690,s7663,s1688,s5144,s9259,s9257]) ).

cnf(s9488,plain,
    ( spl0_323
    | spl0_192
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s1208,s9475,s8383,s6201,s6957,s6101,s6955,s5902,s9487,s7382,s9477,s5609,s8724,s9486,s9388,s2631,s538,s7235,s5988,s9479,s5144,s2151,s7147,s6468,s681,s7663,s3584,s1688,s9478,s7381,s9281,s6467,s1653,s3336,s3553,s5127,s7378,s9473]) ).

cnf(s9489,plain,
    ( spl0_371
    | ~ spl0_304
    | ~ spl0_1
    | ~ spl0_360
    | spl0_31
    | spl0_370 ),
    inference(rat,[],[s2651,s2011,s2154,s10,s6115,s1690,s9256]) ).

cnf(s9490,plain,
    ( spl0_4
    | spl0_193
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_200
    | ~ spl0_11
    | spl0_206
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s131,s4972,s7987,s7798,s7382,s6957,s4863,s2309,s2828,s3003,s6080,s9489,s6955,s3271,s2295,s6402,s5950,s8034,s37,s1653,s6810]) ).

cnf(s9491,plain,
    ( ~ spl0_4
    | ~ spl0_323
    | ~ spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s8845,s7304,s5988]) ).

cnf(s9492,plain,
    ( ~ spl0_360
    | ~ spl0_323
    | ~ spl0_368
    | ~ spl0_200
    | ~ spl0_11
    | spl0_206
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6200,s9490,s4685,s7380,s3016,s9491]) ).

cnf(s9493,plain,
    ( spl0_192
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8224,s538,s2880,s3467,s9476,s8927,s2424,s6283,s2105,s6956,s7382,s7506,s8724,s9492,s6402,s37,s9491,s7380,s3016,s9488,s9478,s7381,s7663,s9281,s3584,s6467,s1688,s1653,s3336,s3553,s5127,s7378,s9473]) ).

cnf(s9494,plain,
    ( spl0_323
    | spl0_4
    | ~ spl0_360
    | ~ spl0_201
    | ~ spl0_313 ),
    inference(rat,[],[s6105,s10,s6957,s2154,s6201,s4860,s9474,s6080,s6173,s2151,s37,s5950,s8034]) ).

cnf(s9495,plain,
    ( spl0_200
    | spl0_250
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s2631,s5370,s538,s10,s8212,s1982,s1688]) ).

cnf(s9496,plain,
    ( spl0_203
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s8224,s3073,s539]) ).

cnf(s9497,plain,
    ( spl0_4
    | ~ spl0_360
    | ~ spl0_192
    | spl0_206
    | spl0_196
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s6101,s8362,s6957,s2880,s2828,s6959,s6115,s5370,s10,s255,s6833,s9496,s6955,s7381,s3271,s4726,s2295,s6402,s9495,s3821,s8034,s37,s1688,s5127,s1653,s9256]) ).

cnf(s9498,plain,
    ( spl0_371
    | ~ spl0_315
    | ~ spl0_14
    | ~ spl0_4
    | ~ spl0_360
    | ~ spl0_201
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6445,s2832,s4954,s3618,s5018,s9491,s6120,s6201,s3271,s3605,s6956,s6957,s6115,s6105,s5803,s1690,s1688,s9257]) ).

cnf(s9499,plain,
    ( ~ spl0_31
    | spl0_493
    | ~ spl0_364
    | ~ spl0_362
    | spl0_11
    | ~ spl0_323
    | ~ spl0_203
    | spl0_200
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_201 ),
    inference(rat,[],[s31,s5428,s203,s5113,s6507,s7006,s1332,s4954,s9446,s5018,s9259,s9257]) ).

cnf(s9500,plain,
    ( spl0_200
    | ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8193,s3011,s6961,s2718,s8571,s8763,s6955,s7337,s3271,s6062,s4961,s6120,s1997,s2524,s9499,s3605,s6957,s7380,s3622,s4861,s7382,s9491,s2880,s3808,s5736,s3003,s9498,s3577,s7381,s5102,s5370,s10,s9496,s8287,s7663,s3599,s1982,s8394,s1688,s1653,s9497,s9493,s3336,s3553,s5127,s7378,s9473,s9257]) ).

cnf(s9501,plain,
    ( ~ spl0_368
    | spl0_323
    | spl0_371
    | ~ spl0_200
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s6283,s2154,s6956,s10,s6101,s6105,s5409,s6957,s7380,s6201,s5062,s4726,s5144]) ).

cnf(s9502,plain,
    ( ~ spl0_303
    | spl0_323
    | spl0_371
    | ~ spl0_200
    | ~ spl0_360
    | spl0_206
    | spl0_570
    | ~ spl0_313 ),
    inference(rat,[],[s10,s2154,s6139,s6283,s9480,s5144,s1653]) ).

cnf(s9503,plain,
    ( ~ spl0_1
    | ~ spl0_304
    | spl0_323
    | spl0_371
    | ~ spl0_200
    | ~ spl0_4
    | ~ spl0_360
    | spl0_206
    | spl0_370 ),
    inference(rat,[],[s2122,s5014,s5579,s5661,s5018,s2296,s83,s9481,s2295,s255,s6957,s1638,s2154,s10,s6115,s1690,s6468,s681,s2151,s9256]) ).

cnf(s9504,plain,
    ( spl0_323
    | spl0_371
    | ~ spl0_200
    | ~ spl0_4
    | ~ spl0_360
    | ~ spl0_192
    | ~ spl0_390
    | spl0_570
    | ~ spl0_345
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s1796,s3430,s5981,s6333,s1212,s3972,s9137,s2524,s2296,s5795,s8653,s15,s9503,s7382,s5040,s7380,s8370,s5409,s6101,s6957,s1638,s2154,s255,s10,s6115,s6955,s9502,s7381,s9501,s2151,s1688,s1653,s6468,s681,s3336,s1690,s9256]) ).

cnf(s9505,plain,
    ( ~ spl0_368
    | spl0_371
    | ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3920,s4860,s6957,s2154,s5011,s10,s5418,s5370,s7380,s5102,s5062,s1688,s1653,s8653,s9491,s9504,s9500,s7147,s9497,s9493,s3336,s3553,s5127,s7378,s9473]) ).

cnf(s9507,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | spl0_315
    | ~ spl0_203
    | spl0_11
    | spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s7789,s1208,s3587,s8193,s5428,s83,s8653,s6962]) ).

cnf(s9508,plain,
    ( spl0_99
    | spl0_38
    | ~ spl0_23
    | ~ spl0_399
    | spl0_319
    | ~ spl0_201 ),
    inference(rat,[],[s6646,s3868,s2278,s6119,s131]) ).

cnf(s9509,plain,
    ( ~ spl0_302
    | spl0_319
    | spl0_371
    | ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5460,s4964,s6649,s6063,s3617,s8241,s186,s9508,s4395,s2524,s6464,s4323,s7789,s5134,s1208,s7382,s8193,s4476,s3011,s2291,s6304,s203,s5298,s6659,s9507,s67,s3866,s6355,s3577,s6962,s9498,s10,s2154,s5649,s4860,s3920,s2507,s1653,s9496,s1688,s2295,s8653,s9491,s9504,s7147,s9497,s9493,s3336,s3553,s5127,s7378,s9473,s9500,s3970,s7381,s9505,s9259,s9257]) ).

cnf(s9510,plain,
    ( ~ spl0_13
    | ~ spl0_198
    | ~ spl0_203
    | spl0_11
    | spl0_371
    | ~ spl0_360
    | spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s9507,s5579,s5018,s2011,s2651,s2154,s255,s8653,s9256]) ).

cnf(s9511,plain,
    ( spl0_371
    | ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3271,s9509,s6956,s6957,s6115,s6105,s10,s9510,s2295,s9496,s8653,s9491,s9504,s1690,s1688,s7147,s9497,s9493,s3336,s3553,s5127,s7378,s9473,s9500]) ).

cnf(s9512,plain,
    ( ~ spl0_1
    | spl0_323
    | ~ spl0_371
    | ~ spl0_200
    | ~ spl0_4
    | ~ spl0_360
    | ~ spl0_192
    | spl0_206
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s4238,s7380,s6960,s9006,s7382,s2296,s2651,s1910,s3808,s9483,s5736,s9496,s1653,s9256]) ).

cnf(s9513,plain,
    ( ~ spl0_302
    | ~ spl0_364
    | ~ spl0_13
    | spl0_31
    | spl0_1
    | ~ spl0_348
    | ~ spl0_217
    | ~ spl0_360
    | ~ spl0_192
    | spl0_206
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s8763,s2718,s7337,s2680,s3011,s2645,s2012,s8174,s1638,s1997,s255,s9256]) ).

cnf(s9514,plain,
    ( spl0_323
    | ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8162,s3577,s8174,s6119,s6120,s7381,s6283,s3271,s9486,s6956,s3622,s6101,s6957,s9513,s2634,s9388,s7380,s7382,s2631,s8362,s4861,s3808,s255,s1997,s2524,s538,s2880,s3073,s10,s2296,s5988,s5795,s6139,s8653,s15,s9512,s5144,s2151,s1688,s7147,s1653,s9497,s9493,s6468,s681,s9500,s3336,s3553,s5127,s7378,s9473,s9511,s9256]) ).

cnf(s9515,plain,
    ( ~ spl0_360
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5579,s9507,s5018,s2011,s255,s10,s5370,s1910,s2880,s9006,s4868,s7380,s5418,s5011,s6957,s2828,s2295,s9496,s8653,s9491,s9514,s9511,s9500,s9497,s1688,s1653,s3336,s3553,s5127,s7378,s9473,s9493,s9256]) ).

cnf(s9516,plain,
    ( spl0_371
    | ~ spl0_315
    | ~ spl0_309
    | ~ spl0_383
    | ~ spl0_44
    | ~ spl0_14
    | ~ spl0_200
    | ~ spl0_1
    | ~ spl0_424
    | ~ spl0_192
    | ~ spl0_201
    | ~ spl0_390
    | spl0_370 ),
    inference(rat,[],[s2747,s7380,s5144,s2275,s2766,s1353,s3734,s3605,s6956,s6957,s6115,s6105,s1690,s1688]) ).

cnf(s9517,plain,
    ( spl0_323
    | ~ spl0_371
    | ~ spl0_383
    | spl0_4
    | ~ spl0_192 ),
    inference(rat,[],[s4238,s7380,s6960,s7382,s3806,s6306,s5040,s6173,s2151,s1831,s538,s2631,s3821,s37,s3003,s8034]) ).

cnf(s9518,plain,
    ( spl0_4
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7196,s2670,s5203,s2106,s6957,s4970,s1353,s6960,s3920,s3011,s2275,s3806,s2012,s7380,s6956,s6810,s2747,s7506,s4828,s9517,s9516,s3577,s3866,s67,s2002,s2254,s4257,s4252,s538,s2631,s5370,s6507,s10,s203,s255,s6659,s6833,s7381,s4726,s6402,s9495,s9496,s3821,s8034,s37,s1688,s1653,s3336,s3553,s5127,s7378,s9473,s9493,s2669,s9515,s9257,s9259,s9256]) ).

cnf(s9519,plain,
    ( spl0_31
    | spl0_346
    | ~ spl0_315
    | ~ spl0_302
    | spl0_9
    | ~ spl0_1
    | spl0_206 ),
    inference(rat,[],[s6507,s203,s1353,s6659,s6062,s2353,s1997,s9257,s9259]) ).

cnf(s9520,plain,
    ( ~ spl0_100
    | ~ spl0_512
    | ~ spl0_509
    | ~ spl0_502
    | ~ spl0_23
    | spl0_323
    | ~ spl0_367
    | ~ spl0_302
    | spl0_9
    | ~ spl0_1
    | spl0_200
    | ~ spl0_192
    | spl0_206
    | ~ spl0_365 ),
    inference(rat,[],[s4121,s4935,s319,s3273,s3637,s8398,s3578,s171,s142,s2278,s1948,s2737,s6113,s3577,s3599,s83,s6659,s203,s6507,s1649,s2002,s6201,s1653,s9259,s9257]) ).

cnf(s9521,plain,
    ( ~ spl0_31
    | ~ spl0_362
    | ~ spl0_466
    | spl0_323
    | ~ spl0_367
    | ~ spl0_302
    | ~ spl0_203
    | spl0_9
    | ~ spl0_544
    | ~ spl0_195
    | ~ spl0_1
    | spl0_200
    | ~ spl0_4
    | ~ spl0_192
    | spl0_196
    | ~ spl0_365
    | ~ spl0_223 ),
    inference(rat,[],[s6646,s4856,s5003,s8277,s9440,s4303,s186,s131,s9520,s469,s5324,s4317,s6470,s8377,s5428,s6659,s203,s5405,s6507,s5476,s7337,s1649,s1208,s5077,s2002,s5018,s2296,s6201,s1653,s4237,s3769,s2151,s6113,s3577,s3599,s3336,s3553,s5127,s9256,s9259,s9257]) ).

cnf(s9522,plain,
    ( spl0_323
    | spl0_200
    | ~ spl0_308
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3011,s9288,s2718,s7380,s6234,s2275,s6659,s6062,s9519,s2353,s1997,s9521,s6298,s7382,s5141,s5040,s2151,s2507,s9518,s8212,s7663,s8287,s9496,s6957,s8918,s5609,s9515,s1831,s6956,s6115,s3577,s7381,s5102,s5370,s10,s1982,s1688,s8394,s1653,s3336,s3553,s5127,s9493,s7378,s9473,s3599,s9257]) ).

cnf(s9523,plain,
    ( ~ spl0_323
    | ~ spl0_4
    | spl0_360
    | ~ spl0_223 ),
    inference(rat,[],[s9491,s4828]) ).

cnf(s9524,plain,
    ( ~ spl0_11
    | spl0_371
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3011,s6304,s458,s6355,s6393,s6962,s6659,s9519,s2353,s1910,s2279,s2296,s5988,s2507,s6957,s6105,s7381,s5102,s5370,s1688,s6139,s10,s2154,s9477,s6468,s681,s5144,s9522,s9523,s9518,s9515,s1690,s7147,s1653,s3336,s3553,s5127,s7378,s9473,s9493,s9256]) ).

cnf(s9525,plain,
    ( ~ spl0_32
    | spl0_320
    | spl0_31
    | ~ spl0_398
    | ~ spl0_302
    | spl0_346
    | spl0_323
    | ~ spl0_192 ),
    inference(rat,[],[s3174,s1208,s3011,s2645,s1241,s1353,s6507,s203,s9257,s9259]) ).

cnf(s9526,plain,
    ( spl0_31
    | spl0_11
    | ~ spl0_398
    | ~ spl0_367
    | ~ spl0_302
    | ~ spl0_1
    | spl0_346
    | spl0_323
    | ~ spl0_192
    | spl0_206
    | spl0_196
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s5476,s6439,s6033,s1208,s1910,s8193,s2353,s83,s6659,s9525,s1997,s9257]) ).

cnf(s9527,plain,
    ( spl0_371
    | spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5579,s9507,s6659,s203,s6507,s1353,s5077,s5018,s9526,s9524,s6330,s5141,s7381,s6956,s6957,s5102,s2295,s9496,s6115,s6105,s5370,s6139,s10,s2154,s9477,s6468,s681,s9522,s1690,s1688,s2507,s7147,s9493,s2151,s5144,s9523,s9518,s9515,s1653,s3336,s3553,s5127,s7378,s9473,s9259,s9257]) ).

cnf(s9528,plain,
    ( spl0_200
    | ~ spl0_371
    | spl0_323
    | spl0_196
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s5736,s8287,s8394,s1688,s5127]) ).

cnf(s9529,plain,
    ( ~ spl0_1
    | ~ spl0_428
    | ~ spl0_200
    | ~ spl0_371
    | spl0_323
    | spl0_607
    | ~ spl0_192
    | spl0_206
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s6552,s4238,s3806,s7382,s3920,s5040,s6957,s1831,s6101,s8224,s6955,s1910,s2067,s5736,s2151]) ).

cnf(s9530,plain,
    ( spl0_196
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s67,s2002,s3866,s8450,s3577,s7788,s7381,s6962,s4649,s1212,s1726,s5981,s1798,s5324,s6747,s7382,s4930,s3755,s131,s5141,s7337,s3011,s9388,s6956,s6889,s2012,s3204,s2631,s6114,s8174,s255,s1997,s2524,s538,s5752,s10,s2296,s5988,s5795,s5509,s6139,s8653,s15,s9529,s6960,s9477,s6468,s681,s9528,s9527,s5144,s2151,s9523,s9518,s5609,s9515,s9493,s1653,s3336,s3553,s7147,s5127,s1688,s7378,s9473,s9256]) ).

cnf(s9531,plain,
    ( spl0_371
    | ~ spl0_348
    | spl0_206
    | ~ spl0_14
    | ~ spl0_196
    | spl0_370 ),
    inference(rat,[],[s5141,s3276,s6956,s6957,s6115,s6105,s1690,s1688]) ).

cnf(s9532,plain,
    ( spl0_31
    | ~ spl0_423
    | ~ spl0_428
    | ~ spl0_371
    | spl0_323
    | spl0_206
    | spl0_200
    | spl0_4
    | ~ spl0_196 ),
    inference(rat,[],[s6903,s9268,s2140,s3204,s4146,s2079,s1997,s7774,s2524,s37,s3003,s6955,s2067,s2151,s8034]) ).

cnf(s9533,plain,
    ( spl0_323
    | spl0_200
    | spl0_4
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s4821,s142,s307,s4850,s3499,s6969,s2640,s5373,s7351,s8079,s6543,s4936,s4453,s131,s7750,s9532,s5901,s6960,s6957,s6955,s2150,s8849,s2067,s3003,s9531,s7382,s8724,s6173,s9494,s2151,s1688,s9530,s10,s1982,s1653,s3017,s6467,s3821,s9495,s8034,s37,s7378,s9473]) ).

cnf(s9534,plain,
    ( spl0_200
    | spl0_4
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3578,s142,s3637,s175,s6659,s160,s203,s53,s6507,s2773,s1649,s67,s2012,s3595,s6062,s6113,s2721,s3577,s4453,s131,s7381,s7987,s5836,s7382,s6956,s2309,s6957,s6115,s9531,s6105,s1690,s8980,s7380,s1997,s2524,s3016,s6810,s9533,s4708,s6259,s3017,s1831,s6467,s5370,s3821,s10,s9495,s8212,s3599,s1982,s1688,s7378,s9473,s9530,s37,s8034,s9259,s9257]) ).

cnf(s9536,plain,
    ( spl0_31
    | ~ spl0_416
    | ~ spl0_423
    | ~ spl0_303
    | spl0_323
    | spl0_9
    | ~ spl0_1 ),
    inference(rat,[],[s3734,s2256,s2254,s6659,s3204,s2353,s2524,s9257]) ).

cnf(s9537,plain,
    ( ~ spl0_14
    | spl0_323
    | ~ spl0_367
    | spl0_250
    | ~ spl0_192
    | spl0_11
    | spl0_9
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s5476,s6033,s1208,s2002,s5018,s9536,s4249,s4257,s6439,s7382,s538,s5040,s6956,s2631,s1831,s6115,s8275,s5370,s1688,s1690,s5736,s9257]) ).

cnf(s9538,plain,
    ( ~ spl0_13
    | ~ spl0_562
    | ~ spl0_203
    | spl0_11
    | ~ spl0_198
    | spl0_9
    | ~ spl0_1 ),
    inference(rat,[],[s2122,s5095,s5579,s5428,s5018,s2011,s255,s9256]) ).

cnf(s9539,plain,
    ( ~ spl0_32
    | spl0_346
    | ~ spl0_302
    | ~ spl0_423
    | ~ spl0_360
    | ~ spl0_196 ),
    inference(rat,[],[s1353,s3718,s6507,s2254,s203,s9257,s9259]) ).

cnf(s9540,plain,
    ( ~ spl0_20
    | ~ spl0_323
    | ~ spl0_562
    | ~ spl0_203
    | ~ spl0_206
    | ~ spl0_198
    | spl0_9
    | ~ spl0_1 ),
    inference(rat,[],[s2122,s5095,s5579,s5428,s7868,s2353]) ).

cnf(s9541,plain,
    ( spl0_371
    | spl0_31
    | ~ spl0_32
    | ~ spl0_423
    | ~ spl0_360
    | ~ spl0_14
    | ~ spl0_200
    | ~ spl0_1
    | ~ spl0_196
    | spl0_370 ),
    inference(rat,[],[s5503,s9539,s6956,s6957,s9489,s6105,s1688]) ).

cnf(s9542,plain,
    ( spl0_4
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s9338,s4861,s7382,s2880,s3003,s3808,s9541,s7868,s4506,s2503,s2254,s6659,s9540,s4257,s538,s4828,s2631,s9537,s5370,s10,s9538,s4505,s3970,s7381,s4519,s9496,s3821,s5515,s6467,s3017,s4708,s2295,s4437,s2219,s681,s9534,s8034,s37,s1688,s7378,s9473,s9530,s9257]) ).

cnf(s9543,plain,
    ( ~ spl0_11
    | ~ spl0_1
    | spl0_323
    | ~ spl0_14
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6132,s3511,s6962,s6659,s5893,s2721,s83,s6955,s2079,s8668,s2067,s9531,s2296,s3017,s7378,s9473,s9530,s9542,s2151,s9257,s9256]) ).

cnf(s9544,plain,
    ( ~ spl0_1
    | spl0_323
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5428,s5298,s6470,s2979,s2977,s2002,s5018,s9419,s76,s4713,s3271,s6956,s6298,s6115,s9531,s1690,s7382,s8275,s5736,s5040,s1910,s6467,s9543,s1831,s539,s2507,s9530,s5449,s8212,s6448,s9542,s5370,s10,s1982,s1688,s7378,s9473,s2151,s9257]) ).

cnf(s9545,plain,
    ( spl0_20
    | ~ spl0_201
    | spl0_31
    | ~ spl0_570
    | spl0_200
    | ~ spl0_196 ),
    inference(rat,[],[s1649,s5741,s6507,s6461,s203,s7148,s6659,s9257,s9259]) ).

cnf(s9547,plain,
    ( ~ spl0_362
    | spl0_192
    | ~ spl0_20
    | ~ spl0_371
    | spl0_31
    | spl0_206
    | ~ spl0_348
    | ~ spl0_544
    | ~ spl0_195
    | ~ spl0_196
    | ~ spl0_223 ),
    inference(rat,[],[s2444,s2718,s6446,s6444,s2140,s5712,s7774,s3276,s6957,s3622,s6865]) ).

cnf(s9548,plain,
    ( ~ spl0_361
    | ~ spl0_20
    | spl0_31
    | spl0_1
    | spl0_323
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365
    | spl0_370 ),
    inference(rat,[],[s8106,s7701,s6062,s2140,s7774,s3276,s6957,s6960,s8849,s2150,s3334,s8212,s1688,s9495,s2151,s7925,s6139,s5507,s1997,s4489,s15,s10,s1982,s9256]) ).

cnf(s9549,plain,
    ( spl0_323
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5373,s2640,s6543,s6955,s7351,s6969,s4936,s5141,s5854,s4935,s3276,s8326,s6957,s9547,s3622,s7382,s9548,s9545,s131,s7925,s7353,s9388,s2296,s4489,s5507,s6139,s8653,s15,s9544,s2151,s9530,s9542,s8212,s7663,s1688,s9495,s7378,s9473,s10,s1982,s9256]) ).

cnf(s9550,plain,
    ( spl0_371
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3577,s7381,s9498,s5102,s1653,s9423,s6956,s6957,s6115,s6105,s5803,s1690,s9530,s5449,s3599,s5370,s10,s1982,s1688,s7378,s9473,s9523,s8653,s6467,s9491,s9549,s9542,s9257]) ).

cnf(s9551,plain,
    ( spl0_31
    | ~ spl0_206
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3617,s4964,s2396,s4229,s3779,s7334,s9440,s4630,s131,s4410,s9118,s76,s53,s72,s2773,s6506,s67,s6464,s3011,s2718,s8763,s1798,s7337,s3950,s3717,s9422,s469,s2979,s203,s6198,s6445,s5298,s6659,s4961,s2353,s2524,s5449,s6448,s1910,s8326,s9530,s3003,s7380,s4861,s2880,s5370,s10,s1982,s6467,s6957,s3622,s7382,s3808,s9550,s539,s8653,s9491,s8212,s9523,s9549,s9542,s7663,s1688,s7378,s9473,s9256,s9259,s9257]) ).

cnf(s9554,plain,
    ( ~ spl0_99
    | ~ spl0_60
    | ~ spl0_377
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_192
    | ~ spl0_360
    | spl0_11
    | ~ spl0_544
    | ~ spl0_195 ),
    inference(rat,[],[s4964,s3617,s6543,s2396,s5281,s3779,s4263,s9440,s186,s8653,s6957,s3622]) ).

cnf(s9555,plain,
    ( ~ spl0_324
    | spl0_184
    | spl0_122
    | ~ spl0_156
    | spl0_310
    | ~ spl0_327
    | ~ spl0_377
    | ~ spl0_31
    | ~ spl0_371
    | ~ spl0_4
    | ~ spl0_365 ),
    inference(rat,[],[s7390,s6036,s4005,s4192,s351,s7351,s3499,s2911,s7316,s9257]) ).

cnf(s9556,plain,
    ( spl0_315
    | ~ spl0_327
    | ~ spl0_377
    | ~ spl0_309
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_364
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_360
    | spl0_11
    | ~ spl0_323
    | ~ spl0_544
    | ~ spl0_195
    | ~ spl0_562
    | ~ spl0_4
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s4005,s1731,s319,s6036,s6463,s2216,s5074,s6969,s9555,s3652,s2384,s3779,s7316,s6441,s6543,s5424,s2278,s4972,s131,s9554,s469,s5095,s5297,s6962,s3003,s7868,s9446,s3717,s6957,s3622,s7382,s3808,s539,s8653,s9256]) ).

cnf(s9557,plain,
    ( ~ spl0_303
    | spl0_20
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_364
    | ~ spl0_371
    | ~ spl0_192
    | ~ spl0_360
    | spl0_11
    | ~ spl0_323
    | ~ spl0_544
    | ~ spl0_195
    | spl0_200
    | ~ spl0_562
    | ~ spl0_4
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8276,s131,s7381,s9554,s4659,s469,s7287,s8763,s6445,s3772,s9556,s5100,s1910,s7868,s2492,s7337,s3717,s2979,s5298,s6448,s6957,s3622,s203,s6659,s7382,s3808,s539,s8653,s9256,s9259,s9257]) ).

cnf(s9558,plain,
    ( spl0_20
    | ~ spl0_206
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s7287,s8763,s4659,s4954,s7381,s3605,s5419,s4395,s5037,s4817,s6955,s9557,s7337,s3717,s2979,s5298,s9530,s5379,s6448,s7380,s4861,s2880,s5370,s10,s1982,s6467,s6957,s3622,s7382,s3808,s9550,s539,s8653,s9491,s8212,s9523,s9542,s7663,s1688,s7378,s9473,s7868,s9551,s9549,s9257]) ).

cnf(s9559,plain,
    ( ~ spl0_206
    | spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s3799,s5113,s4954,s5428,s2900,s9558,s7868,s9551,s7382,s3808,s539,s8653,s8212,s7380,s4861,s2880,s9550,s5370,s10,s1982,s1688,s7378,s9473,s6467,s9491,s9523,s9549,s9542]) ).

cnf(s9560,plain,
    ( spl0_200
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s8571,s6955,s1208,s3271,s6062,s2012,s6120,s1997,s9499,s3605,s2721,s3577,s7381,s5102,s1653,s9559,s6957,s3622,s7380,s7382,s4861,s3808,s2880,s9550,s539,s6467,s8653,s9523,s9491,s9549,s5370,s10,s7663,s8212,s3599,s1982,s1688,s7378,s9473,s9530,s9542,s9257]) ).

cnf(s9561,plain,
    ( ~ spl0_371
    | ~ spl0_323
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5418,s5011,s7380,s6957,s4861,s2828,s2880,s9523,s5370,s10,s9538,s9496,s6467,s5379,s2295,s2219,s9560,s9530,s8653,s9491,s9542,s1688,s7378,s9473]) ).

cnf(s9562,plain,
    ( ~ spl0_31
    | ~ spl0_323
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5115,s142,s4964,s6063,s3617,s7382,s8241,s3907,s7789,s2291,s1208,s186,s5298,s5644,s9508,s1798,s5428,s3011,s4504,s5095,s4395,s5018,s3271,s5649,s5503,s6962,s3970,s3577,s7381,s5102,s5370,s9498,s1653,s9423,s6956,s6115,s1690,s5449,s5803,s6957,s6105,s10,s9538,s9496,s6467,s1688,s5379,s7378,s9473,s2295,s2219,s9560,s9530,s8653,s9491,s9523,s9542,s9561,s9257]) ).

cnf(s9563,plain,
    ( ~ spl0_323
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s3907,s9441,s4323,s1208,s7380,s2106,s3972,s4257,s469,s2291,s6304,s9541,s203,s6445,s5298,s6659,s4961,s2353,s2524,s9562,s6355,s6962,s7381,s9498,s5102,s1653,s5649,s9423,s5100,s5503,s3276,s6956,s6957,s6115,s6105,s5803,s1690,s9561,s5370,s10,s9538,s9496,s2295,s6467,s8653,s9523,s9491,s1688,s2507,s5449,s5379,s9542,s7378,s9473,s2219,s9560,s9530,s9256,s9259,s9257]) ).

cnf(s9564,plain,
    ( ~ spl0_360
    | ~ spl0_192
    | spl0_327
    | ~ spl0_383
    | spl0_31
    | ~ spl0_195
    | spl0_206
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_200
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s8172,s6659,s3718,s9539,s2140,s5901,s6092,s7774,s1638,s3276,s6957,s6101,s5409,s7380,s6955,s4861,s5100,s6468,s681,s2880,s9259,s9257]) ).

cnf(s9565,plain,
    ( spl0_20
    | ~ spl0_192
    | ~ spl0_552
    | ~ spl0_201
    | spl0_31
    | spl0_1
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6464,s3587,s1798,s7789,s2423,s1208,s6962,s5741,s3595,s6461,s7148,s6139,s10,s203,s255,s6659,s2524,s9259,s9256]) ).

cnf(s9566,plain,
    ( ~ spl0_302
    | ~ spl0_309
    | spl0_31
    | spl0_206
    | ~ spl0_348
    | ~ spl0_196 ),
    inference(rat,[],[s7338,s7774,s2645,s3276,s1997]) ).

cnf(s9567,plain,
    ( spl0_306
    | ~ spl0_301
    | spl0_392
    | spl0_315
    | ~ spl0_309
    | ~ spl0_192
    | spl0_99
    | ~ spl0_201
    | spl0_31
    | spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6550,s4726,s8121,s8450,s6956,s5744,s5014,s7337,s2524,s4930,s131,s3587,s6962]) ).

cnf(s9568,plain,
    ( ~ spl0_309
    | ~ spl0_20
    | spl0_360
    | ~ spl0_192
    | spl0_99
    | spl0_31
    | spl0_206
    | ~ spl0_371
    | spl0_323
    | ~ spl0_4
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6181,s7382,s5321,s3755,s3483,s5168,s5712,s7380,s6400,s5409,s6446,s6889,s9567,s6957,s9566,s5942,s67,s6962,s6461,s3011,s2721,s5741,s2012,s2151,s1653,s1997,s3204,s2524,s9257]) ).

cnf(s9569,plain,
    ( ~ spl0_346
    | spl0_484
    | ~ spl0_217
    | spl0_327
    | ~ spl0_195
    | ~ spl0_348
    | ~ spl0_200
    | ~ spl0_365 ),
    inference(rat,[],[s6101,s5409,s6955,s6957,s7380,s2766,s1638,s5843]) ).

cnf(s9570,plain,
    ( ~ spl0_192
    | spl0_99
    | ~ spl0_383
    | ~ spl0_195
    | spl0_206
    | ~ spl0_371
    | spl0_323
    | ~ spl0_200
    | ~ spl0_4
    | ~ spl0_196
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s8172,s9568,s9565,s9564,s2296,s1653,s4708,s6092,s9569,s2880,s6468,s681,s8777,s8653,s5736,s2219,s2151,s9259,s9257,s9256]) ).

cnf(s9571,plain,
    ( spl0_20
    | spl0_23
    | spl0_1 ),
    inference(rat,[],[s6139,s10,s7148,s255,s9256]) ).

cnf(s9572,plain,
    ( ~ spl0_360
    | ~ spl0_301
    | ~ spl0_38
    | spl0_327
    | ~ spl0_196 ),
    inference(rat,[],[s6592,s9374,s5100]) ).

cnf(s9573,plain,
    ( ~ spl0_309
    | ~ spl0_371
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5981,s2444,s8178,s8121,s7381,s3071,s5744,s5902,s7337,s6956,s6889,s6101,s7380,s7971,s3806,s3334,s7382,s8724,s9572,s10,s8102,s9571,s6962,s6957,s6461,s2721,s9566,s5741,s2012,s1653,s1997,s3204,s2524,s2296,s9569,s2880,s6468,s681,s8777,s2151,s9570,s9388,s2631,s538,s7235,s5988,s3017,s8653,s5736,s2219,s9563,s9560,s9542,s9530,s7378,s9473,s1688,s9256]) ).

cnf(s9574,plain,
    ( ~ spl0_371
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s5141,s6956,s5077,s5901,s8319,s3595,s2254,s203,s9571,s6659,s8172,s1208,s9573,s6092,s9569,s2880,s2524,s6468,s4708,s8777,s7235,s2296,s5988,s3017,s8653,s5736,s1688,s7378,s9473,s9542,s681,s2219,s9560,s9530,s2151,s9563,s9257,s9259,s9256]) ).

cnf(s9575,plain,
    ( ~ spl0_23
    | ~ spl0_206
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s203,s6659,s6507,s5579,s1530,s5297,s6665,s2977,s2002,s5449,s2151,s8275,s9563,s5503,s6956,s6115,s10,s9538,s9496,s6467,s1688,s5379,s9542,s2295,s2219,s1690,s9574,s8653,s3017,s7378,s9473,s9530,s9560,s9259,s9257]) ).

cnf(s9576,plain,
    ( ~ spl0_206
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s2977,s6665,s3585,s72,s1353,s6506,s6507,s203,s6659,s3204,s2353,s2524,s5018,s67,s9575,s76,s4713,s3271,s5503,s6956,s8275,s6115,s10,s9538,s9496,s2295,s6467,s8653,s3017,s1688,s5449,s5379,s9542,s7378,s9473,s2219,s9560,s9530,s9563,s1690,s9574,s9257,s9259]) ).

cnf(s9577,plain,
    ( spl0_11
    | spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s9538,s9496,s2295,s6467,s8653,s1688,s5379,s9542,s7378,s9473,s2219,s9560,s10,s9531,s9576,s2151,s9563,s9574,s9530]) ).

cnf(s9578,plain,
    ( ~ spl0_309
    | spl0_87
    | ~ spl0_100
    | spl0_358
    | spl0_31
    | ~ spl0_607
    | ~ spl0_346
    | ~ spl0_13
    | spl0_206
    | ~ spl0_4
    | ~ spl0_196 ),
    inference(rat,[],[s2395,s6406,s3109,s6211,s138,s6858,s77,s5168,s53,s6400,s5028,s366,s6962,s6461,s2721,s5741,s2012,s1653,s255,s9256]) ).

cnf(s9581,plain,
    ( spl0_315
    | ~ spl0_305
    | ~ spl0_304
    | ~ spl0_301
    | ~ spl0_365 ),
    inference(rat,[],[s3576,s8433,s6400,s7789,s6962,s7380,s5409,s6101]) ).

cnf(s9582,plain,
    ( spl0_370
    | ~ spl0_223 ),
    inference(rat,[],[s160,s53,s8109,s5022,s7681,s7337,s1241,s2721,s9581,s1208,s9578,s8351,s4930,s131,s5984,s9388,s15,s2631,s2011,s538,s7235,s2296,s5988,s9577,s6101,s6955,s6957,s2766,s1638,s2154,s10,s5144,s6468,s9531,s1653,s9576,s9574,s2151,s9563,s2219,s681,s9560,s9542,s9530,s7378,s9473,s9256]) ).

cnf(s9583,plain,
    ( ~ spl0_87
    | ~ spl0_367
    | ~ spl0_362
    | ~ spl0_417
    | ~ spl0_301
    | ~ spl0_365
    | ~ spl0_196
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s4278,s8120,s6969,s3438,s6171,s3362]) ).

cnf(s9585,plain,
    ( ~ spl0_302
    | spl0_507
    | ~ spl0_309
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_23 ),
    inference(rat,[],[s4954,s3605,s6445,s5297,s2832,s3718]) ).

cnf(s9587,plain,
    ( ~ spl0_429
    | ~ spl0_363
    | ~ spl0_562
    | ~ spl0_607
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_31 ),
    inference(rat,[],[s5046,s6400,s5095]) ).

cnf(s9588,plain,
    ( ~ spl0_100
    | ~ spl0_607
    | spl0_466
    | ~ spl0_309
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_23 ),
    inference(rat,[],[s6406,s7316,s4972,s5424]) ).

cnf(s9589,plain,
    ( ~ spl0_195
    | ~ spl0_421
    | ~ spl0_417
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_315
    | ~ spl0_562
    | ~ spl0_301
    | ~ spl0_365
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s2395,s4646,s4856,s3867,s3358,s286,s9583,s2492,s7381,s7382,s4644,s3334,s539,s5298,s203,s6659,s5579,s3841,s9257,s9259]) ).

cnf(s9590,plain,
    ( ~ spl0_368
    | ~ spl0_596
    | ~ spl0_377
    | ~ spl0_315
    | ~ spl0_363
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_23 ),
    inference(rat,[],[s6444,s2718,s3576,s4659,s5708]) ).

cnf(s9591,plain,
    ( ~ spl0_362
    | ~ spl0_377
    | spl0_195
    | ~ spl0_315
    | ~ spl0_381
    | ~ spl0_363
    | ~ spl0_301
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_23 ),
    inference(rat,[],[s3177,s5522,s7381,s9590,s8017]) ).

cnf(s9592,plain,
    ( ~ spl0_83
    | ~ spl0_377
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_315
    | ~ spl0_562
    | ~ spl0_23
    | ~ spl0_192 ),
    inference(rat,[],[s2395,s4646,s4856,s3867]) ).

cnf(s9593,plain,
    ( ~ spl0_42
    | spl0_83
    | spl0_306
    | ~ spl0_417
    | ~ spl0_99
    | ~ spl0_323
    | ~ spl0_4 ),
    inference(rat,[],[s6171,s5696,s6641,s2832,s469,s171,s9256]) ).

cnf(s9594,plain,
    ( spl0_42
    | ~ spl0_363
    | ~ spl0_323
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s5046,s6470,s6445]) ).

cnf(s9595,plain,
    ( spl0_306
    | ~ spl0_417
    | ~ spl0_42
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_315
    | ~ spl0_562
    | ~ spl0_301
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s3259,s3645,s9592,s9589,s9593,s7337,s5298,s5579,s3841,s9582,s9257]) ).

cnf(s9596,plain,
    ( ~ spl0_417
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_315
    | ~ spl0_562
    | ~ spl0_607
    | ~ spl0_301
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s6406,s7316,s4964,s4856,s3966,s6641,s9583,s7381,s7382,s4644,s3334,s539,s3645,s3259,s2879,s9595,s4861,s9523,s5298,s5579,s3841,s9582,s469,s9594,s7380,s5409,s9257,s9256]) ).

cnf(s9597,plain,
    ( ~ spl0_371
    | ~ spl0_309
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6646,s3636,s3966,s3259,s4962,s4964,s2879,s8534,s1353,s4860,s9596,s186,s131,s9588,s6507,s203,s5298,s6659,s5579,s2122,s9587,s4861,s7380,s5409,s4505,s6101,s4817,s6955,s6957,s5100,s2828,s3003,s2104,s8653,s6467,s5018,s3841,s5126,s2296,s9582,s9523,s9257,s9259,s9256]) ).

cnf(s9598,plain,
    ( spl0_315
    | ~ spl0_309
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s9587,s5418,s4505,s6101,s5380,s4817,s6955,s5100,s2106,s2832,s5297,s6962,s6467,s6957,s9585,s5803,s9597,s9523,s5126,s5018,s2296,s9256,s9257]) ).

cnf(s9599,plain,
    ( ~ spl0_303
    | ~ spl0_44
    | ~ spl0_309
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s2106,s1353,s5100,s3199]) ).

cnf(s9600,plain,
    ( ~ spl0_309
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6646,s3636,s3966,s4962,s4964,s8534,s4860,s9596,s186,s131,s3259,s9588,s2879,s5077,s2832,s9594,s4861,s7380,s5418,s4505,s6101,s5380,s4817,s6955,s9599,s6507,s203,s5298,s6659,s5579,s9598,s6957,s9585,s5803,s9597,s8653,s6467,s5018,s3841,s5126,s2296,s9582,s9523,s9257,s9259,s9256]) ).

cnf(s9601,plain,
    ( spl0_315
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_23
    | spl0_11
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s3577,s8240,s7381,s131,s4644,s9554,s539,s4238,s6960,s3199,s6956,s5380,s5418,s7380,s7382,s7772,s3907,s2879,s2832,s5803,s2828,s3276,s6957,s8239,s3011,s3587,s1798,s469,s7789,s6691,s5297,s6962,s8653,s6467,s3841,s5126,s9582,s9523,s9257,s9256]) ).

cnf(s9602,plain,
    ( ~ spl0_371
    | ~ spl0_377
    | ~ spl0_58
    | ~ spl0_305
    | ~ spl0_365
    | ~ spl0_360
    | ~ spl0_196
    | spl0_11
    | ~ spl0_370 ),
    inference(rat,[],[s7772,s7380,s2879,s5409,s4820,s6101,s6955,s6957,s5100,s2828,s3003,s2104,s8653,s3841]) ).

cnf(s9603,plain,
    ( ~ spl0_303
    | ~ spl0_377
    | ~ spl0_315
    | ~ spl0_365
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_196
    | spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s3970,s4659,s5017,s5113,s5418,s7380,s7382,s7772,s6957,s3907,s2879,s5077,s3618,s7006,s1353,s3772,s3199,s8653,s6467,s6507,s203,s6659,s5579,s3841,s9582,s5018,s9257,s9259]) ).

cnf(s9604,plain,
    ( ~ spl0_365
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s7772,s7380,s2879,s5077,s5418,s4820,s5380,s6955,s9603,s9602,s1798,s2423,s203,s6659,s5579,s9601,s1208,s9600,s5018,s3841,s5126,s2296,s9582,s9523,s9259,s9256]) ).

cnf(s9605,plain,
    ( ~ spl0_303
    | ~ spl0_309
    | ~ spl0_366
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5138,s7380,s2106,s5251,s3768,s5100,s3199,s8653,s1724,s1840,s3841,s9582,s6467,s2296,s9256]) ).

cnf(s9606,plain,
    ( spl0_306
    | ~ spl0_42
    | ~ spl0_429
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s5803,s2832,s7649,s9257]) ).

cnf(s9607,plain,
    ( ~ spl0_377
    | ~ spl0_364
    | ~ spl0_301
    | ~ spl0_306
    | ~ spl0_344
    | ~ spl0_309
    | ~ spl0_381
    | ~ spl0_366
    | ~ spl0_360
    | ~ spl0_192 ),
    inference(rat,[],[s3177,s5522,s7381,s4750,s5731,s4256,s7382,s3907,s2851,s6240,s9257]) ).

cnf(s9608,plain,
    ( ~ spl0_364
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_371
    | ~ spl0_99
    | ~ spl0_565
    | ~ spl0_301
    | ~ spl0_306
    | ~ spl0_344
    | spl0_465
    | ~ spl0_560
    | ~ spl0_309
    | ~ spl0_381
    | ~ spl0_366
    | ~ spl0_323
    | spl0_11
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s4860,s9359,s2096,s6553,s5633,s3645,s3259,s2586,s9607,s8653,s6467,s9523,s9257]) ).

cnf(s9609,plain,
    ( ~ spl0_371
    | ~ spl0_99
    | ~ spl0_418
    | ~ spl0_565
    | ~ spl0_306
    | ~ spl0_200
    | ~ spl0_429
    | ~ spl0_560
    | ~ spl0_309
    | ~ spl0_366
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | spl0_11
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s6257,s7381,s3645,s6682,s3259,s7383,s2879,s5046,s4861,s7380,s9608,s5298,s6659,s8532,s8653,s1724,s1840,s3841,s9582,s6467,s2219,s3953,s2503,s681,s6957,s3717,s9523,s9257]) ).

cnf(s9610,plain,
    ( ~ spl0_13
    | spl0_371
    | ~ spl0_418
    | ~ spl0_23
    | ~ spl0_1 ),
    inference(rat,[],[s5461,s2154,s255,s9256]) ).

cnf(s9611,plain,
    ( spl0_315
    | ~ spl0_309
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6063,s179,s4978,s3357,s171,s3966,s4964,s8534,s9471,s3645,s6257,s7381,s6682,s7383,s4476,s3907,s7382,s5143,s10,s9610,s9609,s186,s131,s6400,s9588,s5041,s6101,s6957,s3717,s5077,s9606,s6448,s4395,s5297,s6962,s8653,s5018,s1724,s1840,s3841,s9582,s6467,s4817,s6955,s9605,s7378,s9604,s9523,s5126,s2296,s9257,s9256]) ).

cnf(s9612,plain,
    ( spl0_306
    | ~ spl0_195
    | ~ spl0_58
    | spl0_377
    | ~ spl0_360
    | ~ spl0_1 ),
    inference(rat,[],[s3334,s7382,s4860,s2492,s1353,s7337,s6507,s9257]) ).

cnf(s9613,plain,
    ( ~ spl0_83
    | ~ spl0_90
    | ~ spl0_607
    | ~ spl0_306
    | ~ spl0_315
    | ~ spl0_360
    | ~ spl0_23 ),
    inference(rat,[],[s6406,s7316,s4964,s4856,s3966]) ).

cnf(s9614,plain,
    ( ~ spl0_309
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3790,s512,s4974,s3358,s171,s9613,s186,s131,s9588,s6101,s6957,s5077,s3618,s9612,s3645,s3259,s203,s5298,s6659,s3619,s5579,s9611,s6955,s9605,s8653,s6467,s5018,s3841,s5126,s2296,s9582,s9523,s7378,s9604,s9257,s9259,s9256]) ).

cnf(s9615,plain,
    ( spl0_315
    | spl0_306
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s9606,s5297,s6962]) ).

cnf(s9616,plain,
    ( spl0_306
    | ~ spl0_366
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_206
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s3645,s9612,s3259,s203,s5298,s6659,s3619,s5579,s9615,s3841,s9582,s9523,s9257,s9259]) ).

cnf(s9617,plain,
    ( ~ spl0_303
    | ~ spl0_366
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s5520,s10,s1690,s7380,s2108,s2104,s3768,s5100,s3199,s1840,s3841]) ).

cnf(s9618,plain,
    ( ~ spl0_302
    | ~ spl0_362
    | ~ spl0_200
    | ~ spl0_381
    | ~ spl0_360
    | ~ spl0_198
    | ~ spl0_1 ),
    inference(rat,[],[s2154,s10,s4860,s5143,s3920,s2828]) ).

cnf(s9619,plain,
    ( ~ spl0_100
    | ~ spl0_364
    | ~ spl0_362
    | spl0_466
    | ~ spl0_366
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_192 ),
    inference(rat,[],[s5281,s6543,s4263,s4972,s4969]) ).

cnf(s9620,plain,
    ( spl0_83
    | ~ spl0_99
    | ~ spl0_200
    | ~ spl0_60
    | ~ spl0_526
    | ~ spl0_196
    | ~ spl0_1 ),
    inference(rat,[],[s4540,s5250,s6641,s171]) ).

cnf(s9621,plain,
    ( ~ spl0_377
    | ~ spl0_200
    | ~ spl0_60
    | ~ spl0_526
    | spl0_466
    | ~ spl0_306
    | ~ spl0_366
    | ~ spl0_360
    | ~ spl0_196
    | ~ spl0_192
    | spl0_11 ),
    inference(rat,[],[s5281,s6543,s4263,s4964,s3867,s3966,s9620,s186,s131,s9619,s7380,s7382,s7772,s3907,s2879,s8653]) ).

cnf(s9622,plain,
    ( spl0_315
    | ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s4964,s3966,s8534,s9620,s186,s131,s8533,s6101,s6957,s3887,s5461,s7382,s4191,s5143,s5380,s8532,s5298,s10,s3259,s1786,s3645,s6257,s7381,s6357,s7383,s9621,s2219,s6448,s4395,s469,s2977,s5297,s6962,s1724,s1840,s3841,s9614,s5077,s9616,s5018,s4817,s6955,s9617,s7378,s9604,s9523,s5126,s6467,s8653,s2296,s9582,s9257,s9256]) ).

cnf(s9623,plain,
    ( ~ spl0_323
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6257,s7381,s3645,s6448,s4323,s3259,s2979,s203,s5298,s6659,s3619,s5579,s9622,s1208,s9614,s7378,s9604,s6467,s5018,s3841,s5126,s2296,s9582,s9257,s9259,s9256]) ).

cnf(s9624,plain,
    ( ~ spl0_203
    | ~ spl0_20
    | ~ spl0_365
    | ~ spl0_429
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3970,s4505,s7381,s5095,s4644,s5428,s9582]) ).

cnf(s9625,plain,
    ( spl0_306
    | spl0_315
    | ~ spl0_360
    | spl0_323
    | ~ spl0_196
    | spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5040,s4685,s7382,s7380,s5143,s5520,s1724,s3073,s9624,s6659,s203,s10,s7378,s6507,s2154,s9617,s9599,s3199,s6961,s1690,s6956,s6724,s7649,s5014,s7337,s6467,s5018,s6957,s5120,s1872,s8653,s9582,s6962,s9259,s9257]) ).

cnf(s9626,plain,
    ( spl0_315
    | ~ spl0_360
    | spl0_323
    | ~ spl0_196
    | spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6551,s7789,s9617,s1208,s3587,s6956,s2106,s3011,s9374,s9572,s5661,s9625,s6962,s6467,s5018,s6957,s5120,s1872,s8653,s9582]) ).

cnf(s9627,plain,
    ( ~ spl0_363
    | ~ spl0_346
    | ~ spl0_14
    | ~ spl0_360
    | spl0_323
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s5143,s7382,s1724,s5040,s2275,s4685,s5736,s2651]) ).

cnf(s9628,plain,
    ( ~ spl0_360
    | spl0_323
    | ~ spl0_206
    | spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s1840,s7378,s5520,s5418,s7380,s9627,s1690,s5736,s5041,s2651,s6955,s1353,s9599,s5024,s6507,s10,s203,s7337,s255,s6659,s5661,s5579,s2721,s9626,s6467,s5018,s3841,s6957,s5120,s1872,s8653,s9582,s5126,s9257,s9259,s9256]) ).

cnf(s9629,plain,
    ( spl0_501
    | ~ spl0_363
    | ~ spl0_365
    | ~ spl0_301
    | ~ spl0_23
    | ~ spl0_192 ),
    inference(rat,[],[s5046,s3545,s6099]) ).

cnf(s9630,plain,
    ( ~ spl0_362
    | ~ spl0_14
    | ~ spl0_381
    | ~ spl0_436
    | spl0_346
    | ~ spl0_301
    | spl0_323
    | ~ spl0_196
    | ~ spl0_1 ),
    inference(rat,[],[s4280,s5220,s5626,s6964,s2219,s5736,s5143]) ).

cnf(s9631,plain,
    ( spl0_99
    | spl0_466
    | ~ spl0_501
    | spl0_38
    | ~ spl0_309
    | ~ spl0_421
    | ~ spl0_301
    | ~ spl0_348
    | ~ spl0_196
    | ~ spl0_23 ),
    inference(rat,[],[s5624,s4926,s171,s6543,s2278,s5424,s4936,s131]) ).

cnf(s9633,plain,
    ( spl0_83
    | spl0_274
    | ~ spl0_99
    | spl0_377
    | ~ spl0_20
    | ~ spl0_60
    | spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s7494,s2282,s5043,s6641,s8653,s5018]) ).

cnf(s9634,plain,
    ( ~ spl0_365
    | spl0_306
    | spl0_315
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s4192,s7351,s6036,s7316,s2722,s1226,s3782,s9633,s7389,s2488,s186,s9631,s4070,s5040,s3755,s7382,s9630,s9629,s7380,s5138,s5251,s10,s1724,s1786,s2952,s3073,s539,s9624,s6467,s5018,s2151,s469,s5297,s6961,s6724,s7337,s5785,s83,s6659,s203,s6507,s1353,s3199,s6956,s5014,s6962,s6957,s5120,s9623,s1872,s5126,s9582,s8653,s2296,s9256,s9259,s9257]) ).

cnf(s9635,plain,
    ( spl0_306
    | spl0_315
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5251,s5138,s1724,s7380,s1840,s8674,s7378,s9634,s3199,s6956,s5014,s6467,s3841,s6957,s5120,s9623,s1872,s8653,s9582,s5126,s2296,s6962,s9256]) ).

cnf(s9636,plain,
    ( ~ spl0_365
    | spl0_544
    | spl0_562
    | spl0_593
    | ~ spl0_468
    | ~ spl0_29
    | spl0_315
    | spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s3576,s7380,s6444,s4256,s8017,s7382,s5040,s5708,s4070,s3259,s1724,s3645,s3073,s539,s4644,s7381,s3970,s6961,s4505,s7789,s9582,s9257]) ).

cnf(s9637,plain,
    ( spl0_315
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3199,s6956,s9630,s5026,s2952,s2219,s1910,s5736,s5143,s7382,s1724,s5040,s1840,s4686,s7378,s9636,s10,s3587,s5095,s5731,s2718,s5298,s255,s6659,s3011,s83,s5661,s9635,s6962,s6467,s5018,s3841,s6957,s5120,s9623,s1872,s8653,s9582,s5126,s2296,s9257,s9256]) ).

cnf(s9638,plain,
    ( ~ spl0_362
    | ~ spl0_363
    | ~ spl0_14
    | ~ spl0_58
    | ~ spl0_315
    | ~ spl0_301
    | spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s1910,s9591,s5736,s2492,s5143,s5024,s7337,s1724,s2275,s1353,s6507,s5661,s2721,s9257]) ).

cnf(s9639,plain,
    ( ~ spl0_365
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3667,s6268,s6063,s4856,s4983,s3970,s7381,s4,s4644,s8,s3775,s539,s2219,s7389,s3645,s2510,s2488,s3259,s2586,s186,s4070,s9631,s5040,s3755,s7382,s9638,s1724,s2275,s7380,s5409,s6467,s2151,s6273,s9628,s5298,s10,s255,s5024,s7337,s5892,s6101,s6955,s3199,s1353,s6507,s203,s6659,s5579,s3841,s5661,s2721,s9637,s5018,s6957,s5120,s9623,s1872,s8653,s9582,s5126,s2296,s9257,s9256,s9259]) ).

cnf(s9640,plain,
    ( ~ spl0_206
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s2492,s5040,s3619,s4686,s7378,s9639,s203,s7337,s6659,s5661,s5579,s2721,s9637,s9623,s3841,s5126,s9582,s6467,s5018,s2296,s9259,s9256]) ).

cnf(s9641,plain,
    ( spl0_560
    | ~ spl0_14
    | spl0_200
    | ~ spl0_196
    | ~ spl0_428
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_201
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s5143,s2104,s1724,s7382,s5100,s5102,s8250,s6956,s7381,s4817,s3970,s9582]) ).

cnf(s9642,plain,
    ( ~ spl0_196
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3259,s5298,s3619,s5579,s7378,s4395,s4505,s9641,s10,s6843,s6448,s9116,s2219,s3841,s5018,s1653,s3645,s1910,s6467,s6960,s2651,s9523,s5642,s9640,s8653,s2296,s9582,s9257,s9256]) ).

cnf(s9643,plain,
    ( spl0_306
    | spl0_315
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5803,s2832,s2828,s9594,s2295,s7380,s2509,s5138,s6957,s5242,s5251,s6724,s7789,s1724,s1208,s3073,s8193,s9507,s83,s5298,s2291,s7337,s5018,s1910,s6467,s5649,s2651,s9523,s5642,s9640,s8653,s2296,s9582,s9642,s9257,s9256]) ).

cnf(s9644,plain,
    ( ~ spl0_377
    | spl0_466
    | ~ spl0_306
    | ~ spl0_428
    | ~ spl0_360
    | spl0_195
    | ~ spl0_192
    | spl0_11 ),
    inference(rat,[],[s4238,s7380,s7382,s7772,s3907,s2879]) ).

cnf(s9645,plain,
    ( spl0_315
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s8193,s83,s6961,s5298,s6691,s3259,s7383,s9644,s5077,s9643,s5018,s3645,s1910,s6467,s6960,s2651,s9523,s5642,s9640,s8653,s2296,s9582,s9642,s9256,s9257]) ).

cnf(s9646,plain,
    ( ~ spl0_443
    | ~ spl0_442
    | ~ spl0_365
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s6538,s3970,s4397,s4505,s3115,s3710,s5018,s1653,s1910,s5642,s9640,s8653,s9582,s6467,s2296,s9257,s9256]) ).

cnf(s9647,plain,
    ( ~ spl0_29
    | spl0_343
    | ~ spl0_428
    | ~ spl0_360
    | ~ spl0_323
    | spl0_389
    | spl0_195
    | ~ spl0_23
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9644,s5077,s3259,s2291,s6467]) ).

cnf(s9648,plain,
    ( ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s2295,s2509,s5579,s9646,s9645,s5847,s9642,s5298,s9647,s5649,s6960,s2651,s9523,s3645,s1910,s5642,s9640,s8653,s9582,s6467,s5018,s2296,s9256,s9257]) ).

cnf(s9649,plain,
    ( ~ spl0_302
    | ~ spl0_366
    | ~ spl0_428
    | ~ spl0_360
    | spl0_195
    | ~ spl0_201
    | ~ spl0_192
    | spl0_11 ),
    inference(rat,[],[s4238,s7382,s7380,s3887,s9340]) ).

cnf(s9650,plain,
    ( spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s4191,s5046,s5017,s6682,s3970,s7381,s5062,s7380,s7383,s5091,s9644,s6453,s5077,s2140,s6724,s6962,s5155,s2952,s1208,s8193,s83,s5298,s9647,s5649,s3645,s5018,s9642,s6957,s9649,s7378,s9648,s6960,s2651,s9523,s1910,s5642,s8653,s9582,s1653,s9640,s6467,s2296,s9256,s9257]) ).

cnf(s9651,plain,
    ( ~ spl0_323
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s9356,s5438,s1724,s7380,s5102,s5062,s7381,s3970,s5017,s3713,s6964,s2295,s3619,s5579,s9650,s6957,s9649,s7378,s9648,s5298,s9647,s5155,s5649,s6960,s2651,s9523,s5018,s1653,s2952,s3645,s1910,s5642,s9640,s8653,s9582,s6467,s2296,s9257,s9256]) ).

cnf(s9652,plain,
    ( spl0_200
    | ~ spl0_365
    | spl0_315
    | spl0_206
    | ~ spl0_23
    | ~ spl0_192
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s5298,s83,s3259,s5644,s6538,s6961,s7381,s7789,s3577,s5242,s3599,s6964,s1653,s3645,s1910,s5642,s9582,s9257]) ).

cnf(s9653,plain,
    ( ~ spl0_377
    | ~ spl0_365
    | spl0_315
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s8193,s3011,s6961,s5095,s7789,s4505,s3622,s3970,s7382,s7381,s5040,s6538,s4070,s6957,s6201,s9651,s1653,s1872,s6962,s2219,s9652,s5018,s6467,s5642,s9640,s8653,s2296,s9582,s9256]) ).

cnf(s9654,plain,
    ( ~ spl0_365
    | spl0_315
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s8193,s83,s6961,s5298,s6691,s3259,s7383,s9653,s2219,s9652,s5018,s3645,s1910,s5642,s9640,s8653,s9582,s6467,s2296,s9257,s9256]) ).

cnf(s9655,plain,
    ( ~ spl0_196
    | spl0_315
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3970,s4395,s7381,s6448,s7973,s2219,s5642,s9640,s8653,s2296,s9582,s7378,s9654,s9257,s9256]) ).

cnf(s9656,plain,
    ( spl0_20
    | spl0_315
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s1840,s2295,s6976,s6449,s3177,s5522,s3970,s7382,s7381,s5040,s6538,s4070,s3259,s6466,s5298,s6659,s5018,s3645,s1910,s5642,s6467,s6957,s6201,s9651,s1653,s9640,s1872,s8653,s2296,s9582,s7378,s9654,s9256,s9257]) ).

cnf(s9657,plain,
    ( spl0_315
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6724,s7337,s1208,s5661,s8193,s83,s9656,s9655,s5018,s6957,s6201,s9651,s1653,s9640,s1872,s8653,s2296,s9582,s9256]) ).

cnf(s9658,plain,
    ( ~ spl0_196
    | ~ spl0_315
    | ~ spl0_9
    | ~ spl0_201
    | ~ spl0_23
    | ~ spl0_370 ),
    inference(rat,[],[s203,s6507,s6659,s1332,s5579,s2721,s2219,s3841,s9259,s9257]) ).

cnf(s9659,plain,
    ( ~ spl0_306
    | ~ spl0_365
    | ~ spl0_377
    | ~ spl0_345
    | ~ spl0_301
    | ~ spl0_348
    | spl0_206
    | ~ spl0_23
    | ~ spl0_192 ),
    inference(rat,[],[s6101,s6955,s8362,s5141,s2879,s5077]) ).

cnf(s9660,plain,
    ( spl0_20
    | ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s8221,s2651,s1353,s9659,s6468,s681,s2509,s9646,s5847,s7378,s3619,s6507,s3259,s203,s5298,s6659,s3645,s1910,s6467,s2151,s6957,s6201,s9651,s1872,s5127,s9658,s9657,s5642,s8653,s1653,s9640,s5018,s2296,s9582,s9257,s9259,s9256]) ).

cnf(s9661,plain,
    ( ~ spl0_4
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5707,s6099,s5433,s2670,s2067,s6956,s5016,s6964,s7337,s2295,s5661,s5579,s83,s9660,s5690,s9658,s9657,s6957,s5144,s6201,s2151,s9651,s5642,s1653,s9640,s1872,s5018,s8653,s2296,s9582,s9257,s9256]) ).

cnf(s9662,plain,
    ( ~ spl0_32
    | ~ spl0_360
    | ~ spl0_196
    | spl0_315
    | spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s1353,s4863,s3718,s3276,s6957,s5026,s6955,s9599,s1649,s6507,s203,s681,s3072,s3863,s37,s8034,s9257,s9259]) ).

cnf(s9663,plain,
    ( ~ spl0_302
    | ~ spl0_14
    | ~ spl0_381
    | ~ spl0_368
    | ~ spl0_360
    | ~ spl0_198
    | ~ spl0_196 ),
    inference(rat,[],[s6553,s5143,s5053,s2828]) ).

cnf(s9664,plain,
    ( ~ spl0_365
    | ~ spl0_360
    | ~ spl0_196
    | spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s4280,s2105,s5220,s5100,s3199,s6956,s5016,s5626,s6957,s9663,s10,s5356,s1786,s1724,s2952,s3073,s539,s7381,s9624,s3577,s6962,s6467,s5018,s3841,s6964,s3599,s681,s3072,s3863,s37,s8034,s6659,s9662,s9661,s9582,s9257]) ).

cnf(s9665,plain,
    ( ~ spl0_360
    | ~ spl0_196
    | spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6453,s7649,s9182,s10,s7381,s1786,s8562,s538,s1724,s2733,s1840,s7378,s9664,s6659,s9662,s6962,s5018,s3841,s5515,s6467,s6964,s681,s3072,s3863,s37,s8034,s9661,s9582]) ).

cnf(s9666,plain,
    ( ~ spl0_365
    | ~ spl0_306
    | ~ spl0_303
    | ~ spl0_14
    | spl0_371
    | ~ spl0_32
    | spl0_200
    | ~ spl0_196
    | ~ spl0_192
    | spl0_315
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s6553,s6058,s5143,s5312,s1724,s3115,s3073,s539,s4644,s7381,s3579,s6034,s6964,s9257]) ).

cnf(s9667,plain,
    ( spl0_20
    | spl0_323
    | ~ spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | spl0_11
    | spl0_315
    | spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s6552,s9418,s8674,s7378,s9666,s5077,s2256,s3665,s6956,s1690,s10,s5026,s7828,s255,s6659,s681,s3072,s3863,s37,s6957,s5120,s1872,s8034,s9257,s9256]) ).

cnf(s9668,plain,
    ( ~ spl0_365
    | spl0_501
    | ~ spl0_308
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_301
    | ~ spl0_196
    | spl0_11
    | ~ spl0_429
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5520,s7380,s3073,s9629,s9624,s6467,s5018]) ).

cnf(s9669,plain,
    ( ~ spl0_196
    | spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s5520,s8674,s1840,s7378,s9668,s5707,s5433,s1690,s2611,s6956,s10,s5014,s7337,s6836,s5661,s7996,s83,s9667,s6957,s5120,s6173,s4828,s9665,s6964,s681,s3072,s3863,s3841,s3984,s37,s1872,s8034,s9661,s9582,s6962,s6467,s5018,s9257]) ).

cnf(s9670,plain,
    ( ~ spl0_32
    | spl0_346
    | ~ spl0_360
    | spl0_195
    | spl0_200
    | ~ spl0_201
    | ~ spl0_23
    | ~ spl0_192
    | spl0_11
    | ~ spl0_429 ),
    inference(rat,[],[s6552,s5062,s5506,s7381,s4209,s6682,s2586,s7383,s9644,s5077,s3011,s1353,s1332,s6507,s203,s2952,s6960,s9257,s9259]) ).

cnf(s9671,plain,
    ( ~ spl0_360
    | spl0_196
    | ~ spl0_23
    | ~ spl0_192
    | spl0_11
    | spl0_315
    | spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s6453,s9182,s2140,s7381,s6724,s8562,s6957,s1724,s9649,s4122,s7378,s7822,s1208,s10,s8193,s6853,s83,s6659,s9670,s6960,s2651,s6962,s5127,s4144,s37,s1910,s5642,s6964,s3599,s6402,s1653,s5126,s1872,s8034,s9257]) ).

cnf(s9672,plain,
    ( spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5220,s2696,s3625,s6956,s7382,s6101,s5739,s3755,s6957,s8914,s6173,s6201,s5609,s4828,s9671,s2952,s6964,s1910,s6402,s5642,s1653,s5126,s5127,s9669,s5018,s6467,s37,s1872,s8034,s9661,s9582]) ).

cnf(s9673,plain,
    ( ~ spl0_23
    | ~ spl0_416
    | ~ spl0_301
    | ~ spl0_466
    | spl0_206
    | spl0_315
    | ~ spl0_1 ),
    inference(rat,[],[s5644,s83,s6961,s6659,s6724,s2256,s7337,s5077,s9257]) ).

cnf(s9674,plain,
    ( spl0_315
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5244,s307,s142,s4142,s4012,s5691,s2024,s4499,s6031,s7378,s4122,s6976,s5143,s7382,s5051,s3585,s1353,s1649,s6507,s342,s22,s9673,s10,s6836,s2696,s6956,s3665,s5027,s1690,s7722,s3003,s5127,s6964,s6957,s6119,s8914,s4766,s6402,s4930,s6267,s4144,s5642,s1653,s4453,s131,s6173,s2151,s6182,s7750,s5949,s6810,s9672,s37,s5950,s1872,s8034,s9661,s9582,s9257]) ).

cnf(s9675,plain,
    ( ~ spl0_302
    | ~ spl0_309
    | ~ spl0_44
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_10 ),
    inference(rat,[],[s1353,s4863,s3718,s3276]) ).

cnf(s9676,plain,
    ( ~ spl0_196
    | ~ spl0_360
    | ~ spl0_23
    | ~ spl0_315
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_370 ),
    inference(rat,[],[s4863,s3003,s3463,s5027,s7764,s6957,s9675,s6955,s9599,s1649,s6507,s6964,s203,s681,s6659,s3072,s5579,s3863,s3841,s9257,s9259]) ).

cnf(s9677,plain,
    ( ~ spl0_360
    | ~ spl0_192
    | spl0_11
    | ~ spl0_315
    | spl0_4
    | ~ spl0_31
    | ~ spl0_370 ),
    inference(rat,[],[s6552,s5222,s5506,s7378,s6956,s4209,s5847,s7764,s2586,s4397,s6957,s9644,s2106,s3618,s5077,s1353,s1649,s6507,s203,s6659,s6960,s3115,s2952,s6964,s5573,s2651,s1910,s6402,s4144,s5642,s1653,s5126,s9676,s37,s1872,s8034,s5018,s9257,s9259]) ).

cnf(s9678,plain,
    ( ~ spl0_196
    | spl0_323
    | ~ spl0_23
    | ~ spl0_315
    | spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s6306,s3003,s1530,s6959,s6507,s3665,s203,s681,s2256,s6659,s6957,s3072,s5661,s5579,s5120,s3863,s2721,s3841,s37,s1872,s8034,s2151,s9257,s9259]) ).

cnf(s9679,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3665,s2256,s1690,s6659,s5077,s3003,s6957,s5573,s8914,s6201,s6402,s4144,s1653,s5126,s9678,s4828,s9677,s5018,s6467,s37,s1872,s8034,s9661,s9582,s9674,s9257]) ).

cnf(s9680,plain,
    ( ~ spl0_196
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s7227,s4750,s4948,s7732,s7378,s3017,s1653,s4766,s5950,s1872,s8034,s9661,s9582,s5949,s9679]) ).

cnf(s9681,plain,
    ( ~ spl0_206
    | ~ spl0_23
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s6774,s4750,s3619,s7732,s7378,s3017,s9674,s5949,s6205,s9679]) ).

cnf(s9682,plain,
    ( ~ spl0_23
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s3665,s2256,s1690,s6659,s5077,s3003,s6957,s5573,s8914,s6201,s6402,s4144,s1653,s9681,s37,s1872,s8034,s9661,s9582,s9674,s6810,s9679,s9257]) ).

cnf(s9683,plain,
    ( ~ spl0_346
    | ~ spl0_224
    | ~ spl0_381
    | ~ spl0_192
    | ~ spl0_14
    | ~ spl0_302
    | ~ spl0_348
    | spl0_4 ),
    inference(rat,[],[s6553,s5143,s3755,s3923,s6306]) ).

cnf(s9684,plain,
    ( ~ spl0_302
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s4238,s7380,s7382,s3904,s5207,s1353,s6960,s9683,s3072,s681,s2509,s8562,s9185,s1724,s6774,s9057,s7381,s4750,s4351,s7732,s10,s7378,s6824,s3017,s1653,s3605,s6201,s5950,s1872,s8034,s9661,s9582,s9674,s5949,s6205,s2151,s6810,s9679,s6507,s342,s22,s9682,s9257]) ).

cnf(s9685,plain,
    ( ~ spl0_346
    | ~ spl0_443
    | ~ spl0_301
    | spl0_417
    | ~ spl0_348
    | spl0_4
    | ~ spl0_370 ),
    inference(rat,[],[s5027,s6955,s3003,s3175,s6306,s8034]) ).

cnf(s9686,plain,
    ( spl0_200
    | ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s5244,s307,s142,s4142,s4012,s5691,s2024,s4499,s6031,s6119,s3314,s7378,s6240,s4750,s7381,s9281,s3821,s2631,s6259,s538,s2952,s1831,s5220,s6976,s3625,s5143,s3622,s3665,s7382,s1690,s5051,s2611,s3585,s6956,s10,s7764,s6836,s1353,s6960,s9685,s1649,s6964,s1872,s8034,s9582,s5949,s6205,s2151,s6173,s4453,s37,s9661,s4930,s131,s7750,s6810,s9679,s5127,s6507,s342,s22,s9682,s5739,s6957,s9684,s9680,s9257]) ).

cnf(s9687,plain,
    ( ~ spl0_31
    | ~ spl0_223 ),
    inference(rat,[],[s7684,s7227,s9057,s4750,s6080,s7732,s5609,s7378,s7601,s3017,s10,s1653,s9397,s6108,s9686,s6957,s9684,s5127,s9680,s2151,s5949,s6810,s9679,s1872,s5950,s8034,s3984,s9661,s9582]) ).

cnf(s9688,plain,
    ( ~ spl0_196
    | spl0_306
    | ~ spl0_429
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | ~ spl0_223 ),
    inference(rat,[],[s6445,s4961,s9606,s3276,s9582,s2524,s9687,s9523]) ).

cnf(s9689,plain,
    ( spl0_206
    | spl0_315
    | spl0_200
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s67,s3563,s9652,s6032,s7378,s9649,s6960,s3710,s2651,s1910,s5642,s1653,s9582,s8653,s6467,s6964]) ).

cnf(s9690,plain,
    ( spl0_315
    | spl0_200
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9617,s7378,s6956,s7789,s7926,s5242,s2651,s1910,s2353,s5298,s2979,s1208,s1690,s3717,s2828,s9615,s3841,s5126,s9689,s9582,s9687,s8653,s6467,s9523,s6964,s6448,s9257]) ).

cnf(s9691,plain,
    ( spl0_200
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5298,s5785,s2979,s6062,s3717,s2832,s6445,s5803,s4961,s2828,s3276,s3841,s5126,s1653,s6120,s9690,s6448,s2524,s9687,s1872,s8653,s9582,s9523,s9257]) ).

cnf(s9692,plain,
    ( spl0_306
    | ~ spl0_429
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s72,s76,s6665,s44,s3589,s2832,s9688,s9687,s5803,s2828,s2295,s9691,s8653,s9523,s9257]) ).

cnf(s9693,plain,
    ( ~ spl0_365
    | ~ spl0_206
    | spl0_309
    | spl0_466
    | ~ spl0_196
    | ~ spl0_306
    | spl0_315
    | ~ spl0_428
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s131,s9554,s9118,s7382,s7380,s53,s3907,s9644,s3011,s3972,s5008,s1798,s3587,s8326,s67,s6691,s7789,s9601,s6467,s6962,s1208,s469,s6445,s4961,s9523,s2524,s9687,s9256]) ).

cnf(s9694,plain,
    ( ~ spl0_366
    | ~ spl0_14
    | ~ spl0_198
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_192 ),
    inference(rat,[],[s6552,s5520,s4868,s1840,s3580,s1690,s2828]) ).

cnf(s9695,plain,
    ( ~ spl0_196
    | spl0_315
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9693,s5642,s3717,s2219,s3276,s9582,s6960,s7378,s9694,s10,s2154,s4860,s3920,s2828,s2295,s9691,s8653,s9523,s6467,s9692,s6962]) ).

cnf(s9696,plain,
    ( spl0_315
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s3972,s3587,s7380,s7789,s9086,s1208,s2952,s2645,s1910,s1997,s5642,s5126,s9695,s9692,s6962,s9582,s2524,s9687,s1690,s7378,s9694,s10,s2154,s4860,s3920,s2828,s2295,s9691,s8653,s9523,s6467]) ).

cnf(s9697,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9441,s5100,s2718,s6956,s4208,s4231,s7381,s4279,s6198,s5506,s4644,s7380,s7382,s539,s3904,s3907,s9644,s4643,s1798,s67,s2423,s3717,s3618,s203,s2832,s469,s6659,s6445,s7006,s2351,s4961,s2219,s3276,s5126,s1653,s3605,s6120,s9696,s7378,s9694,s10,s2154,s6960,s5803,s1690,s4860,s2828,s3920,s2295,s9691,s2524,s9687,s6467,s1872,s8653,s9582,s9523,s9259,s9256,s9257]) ).

cnf(s9698,plain,
    ( ~ spl0_196
    | spl0_306
    | spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6665,s2012,s9606,s9615,s9582,s9687,s9523,s6962,s6961,s6724,s7337,s6957,s9697]) ).

cnf(s9699,plain,
    ( spl0_306
    | spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s2291,s5649,s5298,s2651,s83,s5642,s8193,s5126,s9698,s6961,s6724,s7337,s9582,s8653,s9523,s6957,s9697,s9257]) ).

cnf(s9700,plain,
    ( ~ spl0_365
    | spl0_200
    | ~ spl0_196
    | ~ spl0_306
    | spl0_315
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s5100,s2106,s6956,s6961,s5016,s7789,s5356,s5242,s2952,s539,s4644,s7381,s3577,s6964,s3599,s9257]) ).

cnf(s9701,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_306
    | spl0_315
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_192
    | spl0_11
    | ~ spl0_370 ),
    inference(rat,[],[s2651,s8532,s3463,s6659,s5027,s7764,s5026,s6955,s9617,s7378,s9700,s6964,s8653,s6962]) ).

cnf(s9702,plain,
    ( ~ spl0_346
    | ~ spl0_365
    | ~ spl0_14
    | ~ spl0_196
    | ~ spl0_429
    | ~ spl0_301
    | ~ spl0_360
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s5143,s1724,s3755,s3003,s2275,s4961,s7380,s6400,s5409,s6101,s6955,s3199,s9582,s2524,s9687,s8653,s6467]) ).

cnf(s9703,plain,
    ( ~ spl0_304
    | ~ spl0_365
    | ~ spl0_14
    | ~ spl0_32
    | ~ spl0_196
    | ~ spl0_306
    | ~ spl0_429
    | ~ spl0_301
    | ~ spl0_360
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s4644,s7381,s3073,s6682,s6976,s7383,s5143,s2879,s7382,s3972,s4861,s3755,s3003,s7380,s4961,s5409,s9104,s6101,s9582,s2524,s9687,s8653,s6467,s9702]) ).

cnf(s9704,plain,
    ( ~ spl0_365
    | ~ spl0_206
    | ~ spl0_196
    | spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s3622,s3755,s7789,s9693,s1208,s9599,s6956,s9703,s6960,s9702,s6962,s10,s2011,s6507,s203,s6659,s2351,s2219,s9701,s9699,s6957,s9697,s9523,s6467,s9582,s2524,s9687,s8653,s9257,s9259,s9256]) ).

cnf(s9705,plain,
    ( ~ spl0_366
    | ~ spl0_14
    | ~ spl0_196
    | ~ spl0_429
    | ~ spl0_301
    | ~ spl0_360
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s5143,s3755,s3003,s4961,s6400,s6101,s1724,s6955,s1840,s9617,s2524,s9687,s8653,s6467,s3841,s9582]) ).

cnf(s9706,plain,
    ( ~ spl0_196
    | spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9704,s7378,s5642,s9705,s10,s2011,s2219,s9701,s9582,s9687,s8653,s6467,s9523,s6957,s9697,s6962,s9699,s9256]) ).

cnf(s9708,plain,
    ( spl0_377
    | ~ spl0_365
    | spl0_389
    | ~ spl0_239
    | spl0_315
    | ~ spl0_4
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2436,s83,s6961,s5298,s6691,s3259,s7383,s2524,s9687]) ).

cnf(s9709,plain,
    ( ~ spl0_377
    | ~ spl0_9
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_192
    | spl0_11 ),
    inference(rat,[],[s6552,s4868,s7902,s2879,s9644,s1910,s6960,s2651]) ).

cnf(s9710,plain,
    ( ~ spl0_443
    | spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s9351,s4961,s5062,s5102,s3755,s7381,s7382,s3970,s3625,s5017,s5220,s3713,s2524,s9687,s5739,s1653,s2651,s2952,s7383,s6396,s8193,s83,s5298,s3259,s9709,s9699,s9523,s3645,s1910,s5642,s5126,s9582,s6467,s8653,s9706,s6957,s9697,s9257]) ).

cnf(s9711,plain,
    ( spl0_315
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5289,s7380,s3432,s8529,s1724,s1840,s2295,s2509,s9710,s6396,s8193,s83,s7378,s5298,s9708,s3259,s7383,s9709,s3645,s2651,s1910,s605,s5642,s1653,s5126,s9706,s9699,s6962,s9582,s2524,s9687,s8653,s6467,s9523,s6957,s9697,s9257]) ).

cnf(s9712,plain,
    ( ~ spl0_346
    | spl0_200
    | ~ spl0_365
    | spl0_341
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s55,s7294,s253,s6063,s3805,s3109,s4410,s5689,s76,s307,s72,s9583,s7381,s6506,s7382,s4644,s67,s3334,s539,s3780,s3710,s2979,s203,s4505,s5298,s6659,s5016,s4817,s2351,s6955,s2651,s4860,s3199,s2524,s9523,s6957,s9697,s3841,s2721,s5126,s1653,s6120,s9687,s1872,s8653,s9582,s9711,s6964,s9259]) ).

cnf(s9713,plain,
    ( spl0_200
    | ~ spl0_365
    | spl0_306
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5579,s22,s5298,s1204,s2291,s5434,s5649,s9712,s6964,s3841,s5126,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s3065,s7337,s6957,s9697,s9257]) ).

cnf(s9714,plain,
    ( ~ spl0_469
    | spl0_466
    | ~ spl0_90
    | ~ spl0_363
    | ~ spl0_562
    | ~ spl0_607
    | ~ spl0_360
    | ~ spl0_192 ),
    inference(rat,[],[s4646,s131,s4962,s4972,s6406]) ).

cnf(s9715,plain,
    ( spl0_87
    | spl0_94
    | spl0_86
    | spl0_103
    | ~ spl0_90
    | ~ spl0_32
    | spl0_31 ),
    inference(rat,[],[s55,s7294,s253]) ).

cnf(s9716,plain,
    ( ~ spl0_365
    | spl0_306
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5743,s3357,s9715,s131,s179,s2960,s6063,s3805,s3109,s2803,s2396,s9714,s3003,s5803,s2832,s6470,s3972,s4410,s7380,s76,s5409,s4505,s72,s6101,s4817,s6506,s6955,s67,s9599,s2503,s3780,s6507,s2979,s203,s5298,s6659,s2351,s2219,s681,s9713,s2524,s6467,s9523,s3841,s2721,s5126,s1653,s6120,s9687,s1872,s8653,s9582,s9711,s3065,s7337,s6957,s9697,s9257,s9259]) ).

cnf(s9717,plain,
    ( ~ spl0_364
    | spl0_505
    | ~ spl0_309
    | spl0_418
    | spl0_580
    | ~ spl0_304
    | ~ spl0_366 ),
    inference(rat,[],[s4231,s7381,s6198,s9462]) ).

cnf(s9718,plain,
    ( spl0_310
    | ~ spl0_195
    | ~ spl0_90
    | ~ spl0_417
    | spl0_466
    | ~ spl0_606
    | ~ spl0_607
    | ~ spl0_560
    | ~ spl0_366
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s131,s9358,s4972,s307,s6406,s5689,s7316,s7382,s3334]) ).

cnf(s9719,plain,
    ( ~ spl0_195
    | ~ spl0_90
    | ~ spl0_32
    | ~ spl0_417
    | spl0_466
    | ~ spl0_606
    | ~ spl0_366
    | ~ spl0_196
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_323
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9358,s131,s9715,s2960,s6063,s3805,s3109,s2803,s9718,s7382,s3334,s2524,s9687,s3841,s4817,s6101,s6955,s9617,s6467,s8653,s9582]) ).

cnf(s9720,plain,
    ( spl0_200
    | spl0_306
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s9457,s8562,s3645,s9719,s4410,s76,s72,s6506,s203,s6659,s2351,s2651,s4860,s3003,s5434,s5027,s5016,s6964,s2524,s2721,s67,s6955,s9617,s9523,s1724,s1840,s3841,s1204,s22,s9616,s7378,s9716,s5126,s6467,s6957,s9697,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s9257,s9259]) ).

cnf(s9721,plain,
    ( ~ spl0_195
    | ~ spl0_344
    | ~ spl0_58
    | ~ spl0_366
    | spl0_306
    | ~ spl0_360
    | ~ spl0_1 ),
    inference(rat,[],[s2851,s9612]) ).

cnf(s9722,plain,
    ( ~ spl0_469
    | ~ spl0_391
    | ~ spl0_363
    | spl0_466
    | ~ spl0_90
    | ~ spl0_607
    | ~ spl0_63
    | ~ spl0_206
    | ~ spl0_360
    | ~ spl0_192 ),
    inference(rat,[],[s4636,s5693,s131,s4962,s4972,s6406]) ).

cnf(s9723,plain,
    ( spl0_466
    | spl0_306
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5743,s3357,s131,s9715,s179,s2960,s6063,s3805,s3109,s2803,s2396,s9722,s6333,s3972,s7380,s9717,s6445,s4961,s4643,s6101,s6955,s9617,s3060,s1840,s3841,s4410,s76,s72,s6506,s67,s9616,s6467,s2721,s7381,s5708,s3259,s3645,s9721,s2503,s681,s203,s6659,s9523,s2979,s5298,s2351,s2219,s9720,s5126,s2524,s1653,s6120,s9687,s1872,s8653,s9582,s3065,s7337,s6957,s9697,s4351,s7378,s9716,s9711,s9257,s9259]) ).

cnf(s9724,plain,
    ( spl0_306
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s3755,s3177,s9723,s5522,s7381,s5708,s3259,s3645,s9721,s2503,s2979,s203,s5298,s6659,s2351,s2219,s681,s9720,s1724,s1840,s4351,s7378,s9716,s3065,s7337,s2524,s6467,s9523,s6957,s9697,s3841,s5126,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s9257,s9259]) ).

cnf(s9725,plain,
    ( spl0_200
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5143,s1724,s7382,s3073,s10,s8250,s4644,s2108,s2104,s7381,s5100,s3970,s6956,s5017,s7764,s3713,s6960,s9712,s6448,s6964,s6467,s9523,s6957,s9697,s5126,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s9257]) ).

cnf(s9726,plain,
    ( ~ spl0_303
    | spl0_466
    | ~ spl0_58
    | ~ spl0_365
    | ~ spl0_306
    | ~ spl0_196
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_323
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5017,s3970,s5418,s7381,s7380,s4644,s4868,s539,s2879,s9644,s1798,s2423,s6960,s9599,s3199,s9582,s8653,s6467,s6507,s9257]) ).

cnf(s9727,plain,
    ( spl0_466
    | ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6333,s3430,s7381,s7382,s4644,s3334,s539,s3645,s3259,s7383,s2879,s3972,s4861,s7380,s4860,s5409,s9104,s6101,s6955,s9726,s4961,s6467,s9523,s6957,s9697,s9724,s5298,s203,s6659,s2351,s2219,s9725,s5126,s1653,s6120,s9711,s1872,s9582,s2524,s9687,s8653,s9257,s9259]) ).

cnf(s9728,plain,
    ( ~ spl0_365
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s3430,s7383,s6333,s2879,s3972,s4861,s7380,s5418,s5017,s3970,s7381,s4644,s3073,s6976,s5143,s7382,s3755,s3003,s9727,s10,s2011,s2219,s9725,s2524,s6467,s9523,s6957,s9697,s5126,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s9724,s9256]) ).

cnf(s9729,plain,
    ( spl0_200
    | spl0_466
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s3645,s3259,s9719,s2879,s4410,s4861,s76,s7380,s72,s9717,s6506,s4643,s67,s3780,s2979,s3060,s203,s5298,s6659,s2351,s2651,s4860,s3713,s5016,s6448,s6964,s2721,s9724,s1840,s3841,s5041,s6955,s9617,s7378,s9728,s5126,s6467,s1653,s6120,s9711,s1872,s8653,s9582,s6957,s9697,s4961,s9523,s2524,s9687,s9257,s9259]) ).

cnf(s9730,plain,
    ( ~ spl0_363
    | ~ spl0_417
    | ~ spl0_29
    | ~ spl0_200
    | ~ spl0_366
    | ~ spl0_306
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_4
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s6333,s3430,s7381,s7382,s6257,s3334,s3645,s3259,s7383,s2879,s3972,s4861,s9582,s2524,s9687,s9257]) ).

cnf(s9731,plain,
    ( spl0_466
    | ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9607,s2503,s2977,s9621,s1798,s6447,s7380,s9730,s4860,s9104,s3060,s5298,s6659,s2351,s2219,s681,s9729,s469,s6445,s4961,s2524,s6957,s9697,s9724,s6955,s9617,s9523,s1724,s1840,s7378,s9728,s3841,s5126,s1653,s6120,s9711,s9687,s1872,s8653,s9582,s6467,s9257,s9256]) ).

cnf(s9732,plain,
    ( ~ spl0_323
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s5143,s3755,s3003,s9731,s10,s9311,s1724,s1840,s7378,s9728,s3841,s5126,s1653,s6120,s9711,s2524,s9687,s6467,s1872,s8653,s9582]) ).

cnf(s9733,plain,
    ( spl0_200
    | ~ spl0_513
    | ~ spl0_196
    | ~ spl0_360
    | spl0_323
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s7764,s6955,s6960,s5100,s2651,s2104,s5736,s5433,s6964,s6957,s5120,s1872,s9257]) ).

cnf(s9734,plain,
    ( spl0_9
    | ~ spl0_365
    | spl0_306
    | ~ spl0_196
    | ~ spl0_360
    | spl0_323
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5409,s6101,s7380,s6955,s9627,s9599,s1353,s5024,s6507,s203,s10,s6659,s2011,s2351,s2524,s9687,s6467,s6957,s5120,s1872,s8653,s9582,s7337,s9257,s9259,s9256]) ).

cnf(s9735,plain,
    ( ~ spl0_365
    | spl0_306
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6552,s5091,s3972,s2079,s3545,s6099,s5155,s5707,s2952,s9733,s2651,s1910,s2219,s9734,s2524,s9687,s6467,s2151,s6957,s5120,s1872,s8653,s9582,s9732,s7337]) ).

cnf(s9736,plain,
    ( spl0_306
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s2219,s9733,s5736,s5707,s5143,s10,s5892,s7382,s9311,s1724,s6955,s5040,s1840,s9617,s4686,s7378,s9735,s7337,s2524,s9687,s6467,s3841,s6957,s5120,s1872,s8653,s9582,s9732]) ).

cnf(s9737,plain,
    ( ~ spl0_196
    | ~ spl0_360
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s7789,s7378,s1208,s9617,s2106,s6956,s3587,s6962,s9572,s9374,s3011,s2721,s1241,s9736,s6957,s5120,s9687,s6467,s1872,s8653,s9582,s9732]) ).

cnf(s9738,plain,
    ( ~ spl0_360
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s3866,s67,s3577,s9673,s7381,s7378,s4249,s5062,s8674,s7382,s7380,s3755,s1690,s5091,s5141,s2067,s5155,s6956,s2952,s9137,s6957,s2651,s1910,s6104,s6201,s5642,s1653,s5126,s5127,s9737,s2524,s9687,s6467,s1872,s8653,s9582,s2151,s9732]) ).

cnf(s9739,plain,
    ( spl0_346
    | ~ spl0_365
    | spl0_306
    | ~ spl0_196
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s1796,s5357,s4070,s6099,s22,s5712,s1204,s5040,s3755,s2012,s7382,s6961,s4280,s8246,s3195,s1724,s3073,s4644,s7381,s3970,s4505,s5220,s3710,s5434,s2952,s5626,s6964,s1910,s2219,s2353,s83,s6659,s203,s6507,s1353,s9687,s6467,s2151,s6957,s5120,s1872,s8653,s9582,s9732,s9257,s9259]) ).

cnf(s9740,plain,
    ( spl0_200
    | ~ spl0_304
    | ~ spl0_365
    | ~ spl0_301
    | spl0_323
    | ~ spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s1910,s2952,s5736,s5356,s5027,s5016,s6964]) ).

cnf(s9741,plain,
    ( ~ spl0_365
    | spl0_306
    | ~ spl0_196
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s67,s3780,s6506,s5024,s203,s6659,s2351,s2219,s9740,s72,s2721,s2122,s5014,s6955,s3199,s9739,s2524,s9687,s6467,s76,s4713,s9738,s6957,s5120,s1872,s8653,s9582,s9732,s7337,s9259]) ).

cnf(s9742,plain,
    ( spl0_306
    | ~ spl0_196
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s305,s8670,s162,s186,s4659,s8245,s9457,s5004,s4750,s3011,s6955,s2718,s3199,s6444,s7381,s9630,s5405,s8017,s8562,s3645,s2952,s6964,s4237,s7006,s7774,s1910,s2219,s2079,s3003,s5736,s5143,s10,s7382,s9311,s1724,s5040,s1840,s4686,s7378,s9741,s7337,s2524,s9687,s6467,s2151,s3841,s6957,s5120,s1872,s8653,s9582,s9732,s9257]) ).

cnf(s9743,plain,
    ( ~ spl0_365
    | spl0_544
    | ~ spl0_32
    | spl0_315
    | ~ spl0_306
    | ~ spl0_301
    | spl0_360
    | spl0_493
    | ~ spl0_348
    | ~ spl0_4
    | ~ spl0_192
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s2275,s5321,s3060,s5942,s6181,s5845,s67,s7382,s7383,s5077,s3755,s3483,s5712,s7380,s6400,s5409,s6101,s6955,s3585,s6961,s7789,s6962,s9257]) ).

cnf(s9744,plain,
    ( ~ spl0_196
    | ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s8017,s6444,s1910,s2079,s5736,s5143,s7382,s1724,s5040,s1840,s4686,s7378,s9743,s10,s3587,s2718,s6962,s255,s6659,s3011,s2721,s83,s1241,s9742,s6957,s5120,s3841,s6467,s1872,s8653,s9582,s2151,s3204,s9732,s2524,s9687,s9738,s9256]) ).

cnf(s9745,plain,
    ( ~ spl0_4
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s9086,s2335,s7380,s4122,s8674,s7378,s3577,s7381,s5102,s3866,s6976,s67,s2159,s9673,s4249,s7382,s3755,s1690,s6308,s2067,s6956,s2952,s9137,s6957,s1910,s6104,s6201,s605,s5642,s1653,s5126,s5127,s9744,s2151,s9732,s2524,s9687,s6467,s1872,s8653,s9582]) ).

cnf(s9746,plain,
    ( spl0_306
    | ~ spl0_365
    | ~ spl0_308
    | spl0_346
    | ~ spl0_302
    | ~ spl0_443
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5836,s7382,s7381,s7380,s5415,s1794,s9086,s5327,s3115,s2952,s6033,s22,s1910,s5617,s367,s2353,s6659,s203,s6507,s1353,s7337,s9582,s6467,s5950,s8653,s4146,s37,s9745,s9687,s6960,s6956,s7926,s9257,s9259]) ).

cnf(s9747,plain,
    ( ~ spl0_302
    | ~ spl0_196
    | ~ spl0_360
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s5242,s7789,s1910,s6062,s2353,s5785,s6659,s203,s6507,s1649,s1208,s3717,s9746,s7378,s9694,s10,s2154,s1690,s4863,s2828,s3276,s9687,s6467,s3841,s6964,s681,s3072,s3863,s37,s9745,s8653,s9582,s9259,s9257]) ).

cnf(s9748,plain,
    ( ~ spl0_346
    | ~ spl0_301
    | ~ spl0_196
    | ~ spl0_360
    | ~ spl0_10
    | ~ spl0_1
    | ~ spl0_370 ),
    inference(rat,[],[s5027,s3003,s6955,s4863,s3199,s6964,s681,s3072,s3863]) ).

cnf(s9749,plain,
    ( spl0_306
    | ~ spl0_416
    | spl0_314
    | ~ spl0_301
    | ~ spl0_206
    | ~ spl0_17
    | spl0_31 ),
    inference(rat,[],[s367,s6659,s22,s2256,s1204,s9257]) ).

cnf(s9750,plain,
    ( ~ spl0_365
    | spl0_392
    | ~ spl0_393
    | ~ spl0_436
    | spl0_200 ),
    inference(rat,[],[s3545,s5618,s3148,s9257]) ).

cnf(s9751,plain,
    ( ~ spl0_196
    | ~ spl0_360
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s6551,s9750,s3972,s7380,s9086,s7383,s2952,s9709,s1910,s2353,s6659,s203,s6507,s1649,s2106,s9749,s3665,s1690,s2104,s9617,s5100,s6956,s7764,s5434,s6960,s9748,s6957,s9747,s6964,s681,s1653,s3072,s4766,s3863,s9582,s2524,s9687,s6467,s37,s5950,s9745,s8653,s9259,s9257]) ).

cnf(s9752,plain,
    ( ~ spl0_365
    | spl0_548
    | spl0_399
    | spl0_315
    | ~ spl0_201
    | spl0_196
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_192 ),
    inference(rat,[],[s5062,s7380,s7381,s3442,s3577,s5847]) ).

cnf(s9753,plain,
    ( ~ spl0_323
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s2586,s6659,s9709,s6446,s2140,s5707,s6099,s4961,s9182,s2096,s7902,s7381,s7380,s8562,s8529,s10,s1724,s6957,s1760,s4122,s9649,s7378,s9752,s3967,s5220,s67,s6960,s2952,s9671,s6962,s3599,s6964,s2651,s1910,s6104,s6402,s4144,s5642,s1653,s5126,s5127,s9751,s4828,s2524,s6467,s1872,s8653,s9582,s4146,s37,s9745,s9687,s9257]) ).

cnf(s9754,plain,
    ( ~ spl0_196
    | spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s203,s6507,s6659,s1649,s83,s3734,s1241,s9749,s3665,s1690,s2611,s6956,s7764,s5434,s6960,s9685,s6964,s681,s1653,s3072,s6957,s4766,s3863,s5120,s1872,s9582,s5950,s8653,s2151,s3204,s2524,s9687,s6173,s9753,s37,s9745,s9259,s9257]) ).

cnf(s9755,plain,
    ( spl0_11
    | ~ spl0_223 ),
    inference(rat,[],[s3625,s5220,s7382,s5739,s9685,s2952,s3755,s6957,s6964,s1910,s8914,s6201,s6402,s5642,s1653,s5126,s9754,s6173,s2151,s9753,s37,s9745,s1872,s6467,s8653,s9582]) ).

cnf(s9756,plain,
    ( ~ spl0_196
    | ~ spl0_17
    | ~ spl0_323
    | spl0_319
    | ~ spl0_223 ),
    inference(rat,[],[s7227,s9265,s4948,s7378,s3017,s1653,s4766,s9582,s9755]) ).

cnf(s9757,plain,
    ( ~ spl0_365
    | ~ spl0_192
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2309,s2201,s7382,s5708,s5836,s5312,s6956,s6659,s7506,s5617,s5062,s6961,s7381,s7822,s3115,s3577,s6034,s3599,s6964,s1910,s6267,s6104,s6402,s5642,s1653,s3017,s2524,s7380,s3016,s4146,s37,s9687,s5127,s9756,s5950,s9491,s9755,s1872,s9582,s9257]) ).

cnf(s9758,plain,
    ( ~ spl0_192
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s6267,s2309,s3312,s4023,s6976,s2159,s4249,s2952,s7382,s9185,s7381,s6365,s2675,s6956,s1690,s7506,s2104,s4868,s4866,s3580,s7378,s9757,s7380,s3016,s5127,s9756,s5950,s9491,s9755,s1872,s9582]) ).

cnf(s9759,plain,
    ( spl0_360
    | spl0_192
    | ~ spl0_302
    | ~ spl0_345
    | ~ spl0_323
    | ~ spl0_223 ),
    inference(rat,[],[s5836,s6956,s7382,s7506,s8724,s7380,s3016,s9755,s7381,s9281]) ).

cnf(s9760,plain,
    ( ~ spl0_365
    | ~ spl0_360
    | ~ spl0_368
    | spl0_544
    | ~ spl0_302
    | ~ spl0_363
    | spl0_319
    | ~ spl0_223 ),
    inference(rat,[],[s7525,s2680,s7337,s6955,s2012,s2645,s5836,s6961,s7382,s7789,s6962,s2309,s6267,s6104,s6200,s1997,s1653,s3017,s2524,s9687,s9755,s4685]) ).

cnf(s9761,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2309,s6267,s7382,s6200,s1653,s2105,s9265,s4866,s7378,s9760,s4685,s9759,s7381,s3584,s9281,s9758,s7380,s3016,s5127,s9756,s5950,s9491,s9755,s1872,s9582]) ).

cnf(s9762,plain,
    ( ~ spl0_360
    | spl0_195
    | ~ spl0_192
    | spl0_399
    | spl0_315
    | spl0_387
    | ~ spl0_201
    | ~ spl0_363
    | ~ spl0_223 ),
    inference(rat,[],[s6551,s4122,s3577,s6976,s7381,s8529,s5062,s9582,s2524,s9687,s6962]) ).

cnf(s9763,plain,
    ( ~ spl0_365
    | ~ spl0_303
    | spl0_376
    | ~ spl0_192
    | spl0_544
    | spl0_315
    | spl0_200
    | ~ spl0_301
    | ~ spl0_345
    | ~ spl0_323
    | ~ spl0_223 ),
    inference(rat,[],[s3967,s5707,s67,s7337,s6538,s2879,s5312,s3496,s6659,s3011,s5617,s2012,s2675,s6961,s7381,s7789,s3577,s6034,s9582,s7380,s3016,s4146,s37,s9491,s9687,s1653,s3021,s9755,s3599,s9257]) ).

cnf(s9764,plain,
    ( ~ spl0_192
    | spl0_315
    | spl0_200
    | ~ spl0_9
    | ~ spl0_301
    | ~ spl0_345
    | ~ spl0_323
    | ~ spl0_223 ),
    inference(rat,[],[s6550,s9182,s8562,s10,s1724,s2104,s1760,s4122,s5222,s7378,s9763,s6956,s7506,s9762,s3115,s1910,s9582,s7380,s3016,s1653,s4144,s3021,s37,s9491,s9755,s3599,s7722,s6964,s9257]) ).

cnf(s9765,plain,
    ( ~ spl0_360
    | spl0_310
    | spl0_184
    | spl0_122
    | spl0_327
    | spl0_544
    | spl0_315
    | spl0_200
    | ~ spl0_9
    | spl0_206
    | ~ spl0_301
    | ~ spl0_363
    | ~ spl0_223 ),
    inference(rat,[],[s3472,s5329,s171,s307,s6099,s5629,s4012,s2680,s2024,s2012,s4499,s6961,s6031,s7789,s7378,s5222,s6956,s7764,s6960,s2651,s9582,s9687,s9257]) ).

cnf(s9766,plain,
    ( ~ spl0_323
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s3332,s3376,s6100,s3541,s5616,s2889,s319,s307,s2650,s4012,s2024,s4499,s6961,s6031,s7789,s7378,s5222,s6956,s7506,s9765,s6119,s2634,s4453,s2105,s7987,s7382,s7381,s2689,s9281,s1870,s9764,s7722,s6964,s6104,s6402,s5642,s1653,s5745,s3021,s6957,s9761,s5127,s9756,s7380,s5950,s37,s3016,s9491,s2524,s9687,s9755,s1872,s9582,s9257]) ).

cnf(s9767,plain,
    ( ~ spl0_4
    | ~ spl0_192
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s6257,s9185,s2827,s5988,s9582,s7378,s3017,s9755]) ).

cnf(s9768,plain,
    ( ~ spl0_192
    | ~ spl0_360
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2631,s538,s5520,s4238,s10,s6960,s2154,s1690,s4860,s6080,s3821,s6173,s5950,s37,s9767,s7382,s7380,s3887,s4868,s2151,s3580,s7378,s3017,s1653,s6201,s9766,s1872,s9582,s9755]) ).

cnf(s9769,plain,
    ( ~ spl0_4
    | ~ spl0_368
    | ~ spl0_206
    | ~ spl0_223 ),
    inference(rat,[],[s6257,s2827,s5988,s9582,s7378,s3017,s9755]) ).

cnf(s9770,plain,
    ( ~ spl0_443
    | spl0_346
    | spl0_371
    | ~ spl0_368
    | ~ spl0_366
    | ~ spl0_302
    | ~ spl0_370 ),
    inference(rat,[],[s5999,s8523,s4122,s6956,s9182,s7926,s1690,s6960,s10,s2154]) ).

cnf(s9771,plain,
    ( ~ spl0_360
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2105,s4866,s7382,s7380,s9618,s5520,s1724,s5640,s3953,s2295,s2509,s9770,s10,s2154,s1690,s4860,s6080,s6173,s5950,s37,s9769,s7381,s9281,s9768,s2151,s5127,s5120,s7378,s3017,s1653,s6201,s9766,s1872,s9582,s9755]) ).

cnf(s9772,plain,
    ( ~ spl0_195
    | ~ spl0_368
    | ~ spl0_443
    | spl0_250
    | ~ spl0_192
    | ~ spl0_366
    | spl0_323
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s10,s9182,s2011,s5736,s2631,s1910,s538,s9256]) ).

cnf(s9774,plain,
    ( ~ spl0_466
    | ~ spl0_364
    | spl0_195
    | ~ spl0_192
    | spl0_323
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s5405,s6455,s7337,s1241,s3011,s5731,s4256,s7382,s5429,s3755,s3003,s2952,s9257]) ).

cnf(s9775,plain,
    ( ~ spl0_364
    | ~ spl0_368
    | ~ spl0_443
    | ~ spl0_192
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2586,s6659,s5837,s5617,s9268,s5697,s5894,s7382,s6955,s4209,s4238,s8523,s5506,s9770,s6960,s6306,s5712,s9774,s2151,s4146,s2952,s9772,s3821,s37,s9767,s7378,s3017,s1653,s6201,s1872,s9582,s9755,s9766,s9687,s9257]) ).

cnf(s9776,plain,
    ( ~ spl0_368
    | ~ spl0_443
    | ~ spl0_192
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2159,s1724,s4249,s2275,s7382,s9770,s1690,s2105,s2104,s4866,s7380,s9775,s2952,s9772,s9687,s7378,s3017,s9755,s3821,s37,s9767,s1653,s6201,s9766,s1872,s9582]) ).

cnf(s9777,plain,
    ( ~ spl0_443
    | ~ spl0_192
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s7391,s8562,s9057,s9185,s7381,s9776,s9755,s5950,s9767,s1653,s6201,s9766,s1872,s9582]) ).

cnf(s9778,plain,
    ( ~ spl0_192
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s4229,s6438,s7334,s142,s3273,s4850,s4935,s6969,s6872,s4936,s4453,s131,s9272,s7382,s6198,s4238,s7380,s4866,s1910,s2079,s3003,s2104,s5736,s6959,s4391,s6109,s5894,s6960,s6955,s9683,s8516,s10,s9311,s1724,s1840,s3072,s2295,s681,s2509,s9777,s6173,s37,s9767,s2524,s9687,s2151,s5127,s5120,s7378,s3017,s1653,s6201,s9766,s1872,s9582,s9755,s2669,s9771,s9257]) ).

cnf(s9779,plain,
    ( spl0_346
    | ~ spl0_443
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2586,s6659,s5837,s5617,s9268,s5697,s2079,s2096,s5894,s9770,s2151,s6955,s6228,s1724,s4124,s4146,s37,s9769,s9687,s7380,s4866,s2105,s7382,s8724,s9771,s7381,s9281,s9778,s5127,s5120,s7378,s3017,s1653,s6201,s9766,s1872,s9582,s9755,s9257]) ).

cnf(s9780,plain,
    ( ~ spl0_443
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s1786,s10,s538,s9182,s2733,s3003,s2145,s6303,s9779,s2151,s4124,s7382,s8724,s9771,s7378,s3017,s9755,s3984,s9769,s7381,s9281,s9778,s5127,s5120,s1653,s6201,s9766,s1872,s9582]) ).

cnf(s9781,plain,
    ( ~ spl0_32
    | spl0_310
    | ~ spl0_274
    | ~ spl0_145
    | spl0_418
    | ~ spl0_414
    | spl0_346
    | ~ spl0_304
    | spl0_184 ),
    inference(rat,[],[s7494,s5284,s4005,s6510,s2586,s9257]) ).

cnf(s9782,plain,
    ( ~ spl0_302
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s7681,s1208,s7337,s5617,s6446,s6659,s9781,s6150,s4660,s2175,s4229,s6438,s4262,s142,s307,s4850,s3499,s6969,s6872,s6198,s4936,s2079,s3003,s6959,s2096,s9086,s2145,s2952,s4519,s6257,s681,s2509,s9780,s7380,s4146,s1724,s6955,s4866,s2634,s4453,s37,s4124,s6228,s2105,s9272,s9769,s7382,s7381,s8724,s9281,s9778,s9771,s7378,s3017,s1653,s5127,s6201,s5120,s2524,s9687,s9755,s1872,s9582,s2151,s9766,s9257]) ).

cnf(s9783,plain,
    ( ~ spl0_365
    | ~ spl0_368
    | ~ spl0_192
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s5143,s7382,s10,s3755,s9311,s1724,s2067,s5141,s5102,s6956,s1653,s9740,s3017,s2524,s9687,s9755,s2151,s9766,s6957,s9782]) ).

cnf(s9784,plain,
    ( ~ spl0_206
    | ~ spl0_368
    | ~ spl0_192
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s4122,s9087,s9182,s1690,s2611,s6956,s10,s7764,s6836,s6960,s9772,s9685,s3821,s6173,s37,s2827,s9582,s9687,s9755,s2151,s9766,s6957,s9782,s6964,s7378,s9783]) ).

cnf(s9785,plain,
    ( ~ spl0_368
    | ~ spl0_192
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s9042,s3003,s10,s8914,s3984,s9311,s7235,s5102,s1653,s9784,s7378,s9783,s2524,s9687,s9755,s1872,s9582,s9766]) ).

cnf(s9786,plain,
    ( ~ spl0_192
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s3585,s2256,s6956,s3665,s6659,s5027,s1690,s5617,s4146,s9517,s9275,s5950,s37,s6976,s5627,s3115,s5988,s8562,s5522,s9185,s7381,s9785,s9582,s9755,s3204,s9766,s2524,s9687,s6957,s9782,s6964,s9257]) ).

cnf(s9787,plain,
    ( ~ spl0_371
    | ~ spl0_201
    | spl0_323
    | spl0_319
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s3799,s8880,s2079,s3003,s2151]) ).

cnf(s9788,plain,
    ( ~ spl0_4
    | ~ spl0_365
    | ~ spl0_368
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2256,s6659,s3585,s5617,s2444,s6961,s3545,s7789,s5618,s7722,s3149,s5127,s4644,s539,s5988,s3204,s5642,s67,s9673,s5141,s6956,s5027,s6964,s2151,s3665,s1690,s9787,s9766,s6957,s9782,s6104,s1653,s3017,s9755,s1872,s9582,s2524,s9687,s9257]) ).

cnf(s9789,plain,
    ( ~ spl0_365
    | ~ spl0_368
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2256,s6659,s3585,s5617,s6961,s7822,s5127,s4766,s4146,s5950,s37,s9788,s6956,s3665,s5027,s1690,s9787,s6104,s5642,s1653,s3017,s9755,s1872,s9582,s3204,s9766,s2524,s9687,s6957,s9782,s6964,s3599,s9257]) ).

cnf(s9790,plain,
    ( ~ spl0_371
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s6592,s7764,s2611,s6960,s6173,s6306,s2029,s7353,s9787,s3003,s9687,s9755,s1872,s9582,s2151,s9766,s6957,s9782]) ).

cnf(s9791,plain,
    ( ~ spl0_4
    | ~ spl0_366
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s4122,s5999,s7235,s5988,s9582,s9755]) ).

cnf(s9792,plain,
    ( ~ spl0_368
    | spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s9087,s5999,s4144,s4122,s9182,s10,s6836,s9685,s6173,s37,s9791,s7378,s9789,s9582,s2151,s9766,s1690,s6956,s5027,s9790,s6957,s9782,s6964]) ).

cnf(s9793,plain,
    ( spl0_200
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s31,s2256,s83,s3585,s2012,s6396,s5321,s5942,s5950,s67,s5100,s3199,s4766,s9673,s6104,s5144,s5127,s5141,s1653,s9281,s6774,s7381,s9792,s6956,s3665,s5027,s1690,s9790,s9786,s6964,s1872,s9582,s2151,s3204,s9766,s2524,s9687,s6957,s9782,s9257]) ).

cnf(s9794,plain,
    ( ~ spl0_4
    | spl0_250
    | ~ spl0_223 ),
    inference(rat,[],[s2631,s538,s7235,s5988,s9755]) ).

cnf(s9795,plain,
    ( spl0_418
    | ~ spl0_368
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s7681,s7337,s1208,s1241,s5617,s83,s6659,s9104,s4146,s9687,s6955,s5222,s2105,s7382,s5143,s1724,s7380,s5520,s5640,s3953,s1690,s10,s2154,s4860,s6173,s6080,s5609,s7601,s6957,s9782,s5127,s3863,s37,s3072,s681,s2151,s9766,s5950,s7378,s3017,s1653,s6402,s9794,s5801,s1872,s9582,s9793,s9755]) ).

cnf(s9796,plain,
    ( spl0_99
    | ~ spl0_510
    | ~ spl0_51
    | spl0_38
    | spl0_346
    | ~ spl0_360
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s5436,s142,s5296,s2653,s158,s171,s9118,s145,s131,s9257]) ).

cnf(s9797,plain,
    ( ~ spl0_368
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s4660,s4663,s6174,s7375,s7362,s9796,s6396,s5617,s6659,s203,s53,s6507,s1660,s1353,s694,s1241,s2680,s9795,s1709,s4860,s7378,s5609,s3017,s7601,s5127,s1653,s3863,s6173,s4146,s6402,s37,s9794,s5801,s9687,s9755,s1872,s9766,s6957,s9782,s3072,s681,s9793,s9582,s9259,s9257,s9256]) ).

cnf(s9798,plain,
    ( spl0_192
    | ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s2219,s5127,s5642,s9281,s6774,s9582,s9793,s7381,s9797]) ).

cnf(s9799,plain,
    ( ~ spl0_1
    | ~ spl0_223 ),
    inference(rat,[],[s10,s7684,s6080,s9311,s5609,s9057,s7601,s5127,s7227,s1653,s3863,s6402,s5950,s37,s5988,s9185,s9798,s9797,s3072,s681,s9793,s6957,s9782,s2151,s9766,s1872,s9582,s2524,s9687,s9755]) ).

cnf(s9801,plain,
    ( ~ spl0_309
    | ~ spl0_304
    | ~ spl0_302
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s5754,s67,s5892,s2002,s2645,s9566,s2151,s5631,s15,s1997,s9769,s9687,s6201,s9491,s7353,s5801,s9582,s9794,s9755,s8034,s9799,s9257]) ).

cnf(s9803,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | spl0_206
    | ~ spl0_223 ),
    inference(rat,[],[s2640,s6969,s5373,s8499,s7351,s6121,s2140,s8079,s6543,s6955,s1208,s7774,s4936,s5141,s5712,s9566,s3276,s2151,s9491,s131,s2634,s9388,s9794,s8034,s9799,s9755,s2524,s9687]) ).

cnf(s9804,plain,
    ( ~ spl0_303
    | spl0_192
    | ~ spl0_319
    | ~ spl0_223 ),
    inference(rat,[],[s6553,s8724,s3334,s3271,s8454,s9582,s5988,s8034,s9799,s9755]) ).

cnf(s9805,plain,
    ( ~ spl0_302
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s7454,s8383,s9801,s6955,s9804,s3584,s5127,s9803,s4726,s6201,s2151,s9491,s7353,s5801,s9582,s9794,s9755,s1997,s9769,s9687,s7378,s9791,s8034,s9799]) ).

cnf(s9806,plain,
    ( ~ spl0_192
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s5324,s7337,s3011,s8450,s3585,s2012,s6961,s7789,s3622,s7382,s3755,s5141,s6956,s9137,s5127,s4644,s6104,s3073,s4726,s7235,s2151,s3204,s2524,s9687,s4930,s131,s9388,s9491,s9769,s7353,s5801,s9582,s9794,s9755,s7378,s9791,s8034,s9799,s6957,s9805]) ).

cnf(s9807,plain,
    ( spl0_360
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s10,s2154,s6139,s3175,s7146,s3334,s5902,s7382,s8724,s9582,s5988,s7235,s8034,s9799,s9755,s9806]) ).

cnf(s9808,plain,
    ( ~ spl0_303
    | ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s5744,s7337,s8450,s3585,s6961,s7789,s3584,s5127,s5100,s9807,s6104,s9804,s3204,s2524,s9687,s4930,s131,s9388,s7378,s9791,s5144,s7353,s5801,s9582,s9794,s9491,s8034,s9799,s9755,s6957,s9805,s9806]) ).

cnf(s9809,plain,
    ( ~ spl0_368
    | ~ spl0_223 ),
    inference(rat,[],[s2678,s7380,s2880,s3463,s5409,s5027,s7764,s6101,s6955,s9808,s6957,s9805,s7378,s6964,s9791,s5801,s9582,s5988,s7235,s9755,s9794,s8034,s9799]) ).

cnf(s9810,plain,
    ( ~ spl0_206
    | ~ spl0_223 ),
    inference(rat,[],[s3072,s4284,s681,s7378,s2827,s3017,s9582,s5988,s7235,s8034,s9799,s9755]) ).

cnf(s9811,plain,
    ( ~ spl0_309
    | ~ spl0_365
    | spl0_623
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s5754,s3496,s67,s3011,s2002,s2012,s9687,s6201,s1653,s9491,s8034,s9799,s9755,s9281,s5127,s9803,s9810,s7381,s9809]) ).

cnf(s9812,plain,
    ( spl0_38
    | ~ spl0_51
    | ~ spl0_502
    | ~ spl0_509
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s8398,s3273,s171,s9118,s145,s9687,s2737,s131,s9388,s9794,s8034,s9799,s9755,s9281,s5127,s9803,s9810,s7381,s9809]) ).

cnf(s9814,plain,
    ( spl0_395
    | ~ spl0_104
    | ~ spl0_377
    | ~ spl0_20
    | ~ spl0_502
    | ~ spl0_509
    | ~ spl0_365
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s7390,s8401,s3775,s171,s5058,s8398,s3541,s6064,s6398,s1,s15,s2737,s131,s9388,s9794,s8034,s9799,s9755,s9281,s5127,s9803,s9810,s7381,s9809]) ).

cnf(s9815,plain,
    ( ~ spl0_365
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s5374,s3833,s319,s6037,s7351,s175,s5691,s2384,s9814,s4484,s272,s1798,s8733,s6747,s3011,s9812,s6659,s203,s53,s6507,s1660,s5476,s1649,s7417,s1208,s9811,s5405,s4237,s7337,s2670,s6062,s3577,s5988,s6064,s6398,s1,s1997,s9687,s5144,s7382,s3755,s5141,s2151,s9281,s5127,s9803,s7381,s9809,s3599,s5631,s3920,s8454,s6201,s1653,s9810,s9491,s8034,s9755,s9582,s15,s9799,s9259,s9257,s9256]) ).

cnf(s9816,plain,
    ( ~ spl0_309
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s6747,s7383,s7337,s3011,s6240,s2645,s2012,s1997,s9687,s7382,s3755,s5141,s2151,s9491,s8034,s9799,s9755,s9281,s5127,s9803,s9810,s7381,s9809,s7378,s9815]) ).

cnf(s9817,plain,
    ( ~ spl0_395
    | spl0_392
    | ~ spl0_421
    | ~ spl0_371
    | ~ spl0_364
    | ~ spl0_466
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s5374,s5129,s319,s6443,s6969,s5565,s8010,s3273,s2384,s9687,s5988,s6064,s6398,s1,s15,s131,s9388,s9794,s8034,s9799,s9755,s7382,s3755]) ).

cnf(s9818,plain,
    ( spl0_306
    | ~ spl0_371
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s7390,s8401,s3875,s171,s5660,s8398,s6332,s9817,s6962,s2670,s1798,s8763,s6747,s2718,s3011,s9812,s5476,s5405,s6455,s7337,s6064,s6398,s1,s15,s2737,s131,s9388,s9794,s7380,s4866,s5144,s6659,s203,s9329,s7378,s9815,s7382,s3755,s5141,s2151,s9281,s5127,s9803,s7381,s9809,s1997,s9687,s1208,s53,s1660,s7417,s9816,s3920,s8454,s6201,s1653,s9810,s9491,s8034,s9755,s9582,s9799,s9256,s9259]) ).

cnf(s9819,plain,
    ( ~ spl0_371
    | ~ spl0_303
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s3833,s5374,s319,s7351,s6443,s5565,s5838,s8010,s3273,s2384,s4263,s3011,s9415,s1241,s9818,s9687,s5988,s6064,s6398,s1,s15,s131,s9388,s9794,s605,s7382,s3755,s5141,s2151,s9281,s5127,s9803,s7381,s9809,s7380,s4866,s7378,s9815,s5144,s1653,s9810,s9491,s8034,s9799,s9755,s1208,s9816]) ).

cnf(s9820,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s10,s6139,s2154,s7146,s9819,s2335,s4122,s7378,s9815,s3271,s9582,s7235,s6201,s1653,s9810,s9491,s8034,s9799,s9755]) ).

cnf(s9821,plain,
    ( spl0_309
    | spl0_502
    | ~ spl0_365
    | ~ spl0_367 ),
    inference(rat,[],[s5476,s6033,s1208]) ).

cnf(s9822,plain,
    ( ~ spl0_309
    | ~ spl0_365
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s1212,s3577,s5617,s3866,s5631,s9571,s67,s9811,s2002,s9582,s15,s7381,s9809,s9803,s6201,s1653,s9810,s9491,s8034,s9799,s9755,s9257]) ).

cnf(s9823,plain,
    ( ~ spl0_306
    | ~ spl0_544
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s2122,s7788,s6062,s1241,s9491,s8034,s9799,s9755,s1997,s9687,s5127,s9803,s9810]) ).

cnf(s9824,plain,
    ( ~ spl0_365
    | ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s3755,s5712,s7382,s7681,s2893,s7337,s9823,s8383,s9821,s1208,s9822,s2151,s9491,s8034,s9799,s9755,s1997,s9687,s9281,s5127,s9803,s9810,s7381,s9809,s6955,s9820]) ).

cnf(s9825,plain,
    ( spl0_306
    | spl0_623
    | ~ spl0_364
    | ~ spl0_362
    | ~ spl0_304
    | ~ spl0_319
    | spl0_196
    | ~ spl0_367 ),
    inference(rat,[],[s2002,s67,s6961,s5754,s8571,s5892]) ).

cnf(s9826,plain,
    ( ~ spl0_302
    | ~ spl0_223 ),
    inference(rat,[],[s4265,s2630,s6443,s6969,s7351,s4935,s5838,s3273,s4263,s9415,s9825,s5631,s681,s7380,s7382,s3072,s4866,s4124,s4284,s7378,s9824,s6955,s9820,s9281,s5127,s6201,s9803,s9582,s9687,s15,s5988,s7235,s131,s9388,s9794,s7381,s9809,s605,s5144,s1653,s9810,s9491,s8034,s9799,s9755,s9257]) ).

cnf(s9827,plain,
    ( ~ spl0_305
    | ~ spl0_421
    | ~ spl0_365
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s4237,s2670,s5405,s7789,s3179,s7381,s9809,s5144,s1653,s9810,s9491,s8034,s9799,s9755,s3622,s6957,s9826]) ).

cnf(s9828,plain,
    ( ~ spl0_196
    | ~ spl0_309
    | spl0_306
    | ~ spl0_365
    | ~ spl0_192
    | ~ spl0_223 ),
    inference(rat,[],[s2721,s9567,s9491,s9388,s9794,s8034,s9799,s9755,s1653,s6957,s9826,s3011,s2012,s9687,s9810]) ).

cnf(s9829,plain,
    ( ~ spl0_309
    | spl0_306
    | ~ spl0_365
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s1212,s5631,s3577,s5754,s3866,s9828,s5617,s9571,s67,s2002,s8450,s5324,s3496,s3011,s2012,s9582,s2524,s9687,s15,s4930,s131,s9388,s9794,s9491,s8034,s9799,s9755,s1653,s9810,s3622,s3158,s2692,s6957,s9826,s7381,s9809,s7337,s9257]) ).

cnf(s9830,plain,
    ( spl0_306
    | ~ spl0_365
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s1208,s9829,s9827,s7337]) ).

cnf(s9831,plain,
    ( ~ spl0_365
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s5802,s5290,s2335,s3271,s5573,s6120,s7789,s9571,s67,s6396,s1208,s5077,s3734,s9830,s9582,s15,s3204,s2524,s9687,s1653,s5141,s2151,s9491,s8034,s9799,s9755,s9810,s3622,s6957,s9826,s9257]) ).

cnf(s9832,plain,
    ( spl0_306
    | ~ spl0_364
    | spl0_346
    | ~ spl0_366
    | ~ spl0_362
    | ~ spl0_223 ),
    inference(rat,[],[s6747,s7383,s2444,s6240,s5617,s6961,s6659,s3179,s203,s5405,s6507,s6455,s1353,s7337,s9582,s5988,s8034,s9799,s9755,s7381,s9809,s1997,s9810,s9687,s6957,s9826,s9259,s9257]) ).

cnf(s9833,plain,
    ( ~ spl0_362
    | ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s6099,s2680,s5754,s5290,s67,s6396,s5077,s3734,s1241,s9832,s5631,s5802,s681,s7380,s3841,s2335,s3072,s5208,s1840,s4122,s4284,s7378,s9831,s3158,s2692,s9582,s15,s5988,s7235,s3204,s2524,s9687,s7381,s9809,s5144,s1653,s6957,s9826,s5141,s2151,s9491,s8034,s9799,s9755,s9810,s9257]) ).

cnf(s9834,plain,
    ( ~ spl0_303
    | ~ spl0_223 ),
    inference(rat,[],[s7146,s6139,s5100,s10,s5127,s2154,s9281,s3175,s2611,s3755,s3334,s7382,s9833,s5141,s9582,s5988,s2151,s7381,s9809,s5144,s1653,s9810,s9491,s8034,s9799,s9755]) ).

cnf(s9835,plain,
    ( spl0_306
    | ~ spl0_365
    | ~ spl0_362
    | ~ spl0_223 ),
    inference(rat,[],[s1212,s5016,s5981,s9571,s5690,s1798,s2002,s9828,s3088,s6120,s9821,s5707,s2122,s2893,s5892,s5014,s7337,s9687,s7235,s8034,s9799,s9755,s1653,s9810,s6955,s9834,s3158,s2692,s6957,s9826,s7381,s9809]) ).

cnf(s9836,plain,
    ( ~ spl0_365
    | ~ spl0_362
    | ~ spl0_223 ),
    inference(rat,[],[s3430,s6333,s7383,s3011,s3483,s1241,s9835,s7380,s5409,s3204,s9491,s8034,s9799,s9755,s2524,s9687,s6101,s6955,s9834,s3158,s2692,s6957,s9826,s7381,s9809]) ).

cnf(s9837,plain,
    ( ~ spl0_362
    | ~ spl0_223 ),
    inference(rat,[],[s5016,s5690,s681,s3841,s3072,s1840,s4284,s7378,s9836,s3158,s2692,s9582,s5988,s7235,s8034,s9799,s9755,s7381,s9809,s6957,s9826,s6955,s9834]) ).

cnf(s9838,plain,
    ( ~ spl0_192
    | ~ spl0_421
    | ~ spl0_365
    | ~ spl0_223 ),
    inference(rat,[],[s1905,s8370,s7774,s5040,s3755,s9687,s2151,s9491,s8034,s9799,s9755,s9810,s6101,s6955,s9834,s6957,s9826,s7382,s9837]) ).

cnf(s9839,plain,
    ( spl0_306
    | ~ spl0_365
    | ~ spl0_223 ),
    inference(rat,[],[s8109,s160,s7681,s53,s1208,s5028,s2012,s8730,s7774,s2721,s5127,s9281,s9838,s2122,s5014,s7337,s9687,s5984,s15,s2151,s4930,s131,s9388,s9794,s9491,s8034,s9799,s9755,s7381,s9809,s9810,s6101,s6955,s9834,s6957,s9826,s9256]) ).

cnf(s9840,plain,
    ( ~ spl0_192
    | ~ spl0_365
    | ~ spl0_223 ),
    inference(rat,[],[s2721,s2122,s5127,s6682,s8370,s3011,s5040,s7381,s9809,s7382,s9837,s1241,s7383,s3483,s9839,s3204,s9491,s8034,s9799,s9755,s2524,s9687,s7380,s5409,s6101,s6955,s9834,s6957,s9826]) ).

cnf(s9841,plain,
    ( ~ spl0_365
    | ~ spl0_223 ),
    inference(rat,[],[s5207,s3576,s6682,s6400,s6962,s2721,s5127,s9281,s9840,s7383,s3483,s1241,s9839,s7380,s5409,s3204,s9491,s8034,s9799,s9755,s2524,s9687,s7381,s9809,s6101,s6955,s9834,s6957,s9826,s7382,s9837]) ).

cnf(s9842,plain,
    ~ spl0_223,
    inference(rat,[],[s2150,s3463,s5027,s7764,s6964,s681,s3072,s4284,s7378,s9841,s7382,s9837,s6955,s9834,s6957,s9826,s9794,s7235,s5988,s8034,s9799,s9755,s9582]) ).

cnf(s9843,plain,
    spl0_193,
    inference(rat,[],[s1835,s9842]) ).

cnf(s9844,plain,
    spl0_242,
    inference(rat,[],[s1308,s9843]) ).

cnf(s9845,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7391,s3432,s5982,s5461,s6961,s6659,s6691,s203,s5289,s6747,s6855,s9342,s2492,s6181,s7383,s6235,s9446,s7380,s5050,s4828,s5018,s8653,s5176,s7337,s5120,s4726,s3276,s9257,s9259,s9842,s9843]) ).

cnf(s9846,plain,
    ( spl0_370
    | spl0_383
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_618
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7225,s8653,s37,s9311,s6197,s10,s8224,s5370,s1688]) ).

cnf(s9847,plain,
    ( spl0_315
    | ~ spl0_4
    | spl0_195
    | ~ spl0_370
    | spl0_201
    | ~ spl0_206
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306 ),
    inference(rat,[],[s8437,s2823,s4828,s5803,s9606,s2832,s5297,s6962,s9257]) ).

cnf(s9848,plain,
    ( ~ spl0_309
    | ~ spl0_196
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2827,s4828,s1212,s9663,s9847,s10,s1786,s37,s2444,s4146,s5617,s3841,s9846,s1724,s605,s5982,s2436,s2012,s6659,s3011,s5221,s203,s6747,s2492,s7383,s5708,s7337,s5120,s4726,s2524,s2202,s9845,s9842,s9259]) ).

cnf(s9849,plain,
    ( spl0_370
    | ~ spl0_340
    | ~ spl0_206
    | ~ spl0_20
    | ~ spl0_386
    | ~ spl0_618
    | ~ spl0_37
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5509,s8034,s15,s1831,s9846]) ).

cnf(s9850,plain,
    ( ~ spl0_387
    | ~ spl0_511
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_421 ),
    inference(rat,[],[s5415,s6960,s5327,s2335,s5999,s9257]) ).

cnf(s9851,plain,
    ( spl0_315
    | ~ spl0_305
    | spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3011,s1727,s3587,s1798,s7789,s6691,s6962,s9842]) ).

cnf(s9853,plain,
    ( ~ spl0_196
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1306,s9849,s5573,s1653,s18,s6659,s5226,s3279,s5221,s203,s6747,s2492,s7383,s1727,s2721,s6120,s9851,s9850,s6033,s1208,s9848,s2524,s9845,s5524,s7337,s4726,s9843,s9842,s9259]) ).

cnf(s9854,plain,
    ( spl0_4
    | ~ spl0_313
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s9030,s6343,s5950,s8034,s37,s9842]) ).

cnf(s9855,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_309
    | spl0_196
    | ~ spl0_362
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s1796,s6747,s6538,s3011,s1653,s8193,s5126,s5018]) ).

cnf(s9856,plain,
    ( ~ spl0_31
    | ~ spl0_309
    | spl0_196
    | ~ spl0_362
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7347,s3175,s8382,s6963,s6343,s6173,s5225,s2151,s9854,s8034,s37,s5176,s2296,s9855,s5524,s7337,s6232,s9843,s9256,s9842]) ).

cnf(s9857,plain,
    ( ~ spl0_309
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2696,s3920,s8437,s2029,s37,s2444,s4146,s5617,s9846,s605,s5982,s2436,s2012,s8193,s6659,s3011,s5221,s203,s6747,s2492,s7383,s5708,s2202,s2524,s9856,s7337,s9853,s9842,s9259]) ).

cnf(s9858,plain,
    ( ~ spl0_313
    | ~ spl0_31
    | spl0_196
    | ~ spl0_362
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5428,s255,s6747,s10,s7383,s5370,s6538,s5102,s1653,s9496,s5126,s5018,s8653,s2296,s9854,s5524,s9256,s9842]) ).

cnf(s9859,plain,
    ( ~ spl0_206
    | ~ spl0_31
    | spl0_309
    | spl0_196 ),
    inference(rat,[],[s4326,s5126]) ).

cnf(s9860,plain,
    ( ~ spl0_31
    | spl0_309
    | spl0_196
    | ~ spl0_362
    | ~ spl0_302
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2111,s4238,s2651,s1910,s7380,s5642,s4685,s8653,s4828,s5176,s6201,s6200,s1653,s9859,s6963,s9858,s7337,s4726,s9843]) ).

cnf(s9861,plain,
    ( spl0_370
    | ~ spl0_11
    | ~ spl0_206
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s9854,s7225,s1688]) ).

cnf(s9862,plain,
    ( ~ spl0_362
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2696,s3920,s1353,s1649,s6507,s203,s6659,s5573,s9861,s5126,s1653,s6120,s9851,s9860,s9850,s6033,s1208,s9857,s9853,s5524,s7337,s4726,s9257,s9259,s9842]) ).

cnf(s9863,plain,
    ( ~ spl0_309
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_364
    | spl0_348
    | ~ spl0_361
    | ~ spl0_302
    | ~ spl0_368
    | spl0_306 ),
    inference(rat,[],[s1929,s5168,s4146,s5617,s6659,s203,s6855,s3059,s7383,s5837,s7337,s5176,s2151,s9259]) ).

cnf(s9864,plain,
    ( ~ spl0_315
    | spl0_31
    | ~ spl0_196
    | ~ spl0_364
    | spl0_327
    | ~ spl0_303
    | ~ spl0_421 ),
    inference(rat,[],[s1796,s6855,s1727,s2670,s2721,s9842]) ).

cnf(s9865,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9495,s2150,s2766,s7304,s7365,s9854,s1688,s9863,s6961,s9851,s9864,s5176,s4828,s5053,s5524,s7337,s2105,s2151,s6218,s6232,s7380,s5836,s7382,s9862,s9842]) ).

cnf(s9866,plain,
    ( ~ spl0_31
    | spl0_196
    | ~ spl0_364
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7454,s6691,s8193,s9342,s6861,s7383,s6538,s6200,s1653,s4828,s5126,s5018,s5176,s7337,s9843]) ).

cnf(s9867,plain,
    ( ~ spl0_309
    | spl0_31
    | ~ spl0_345
    | spl0_466
    | ~ spl0_361
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s7663,s2766,s7788,s7365,s2012,s9854,s9861,s1688,s9863,s4828,s6962,s4961,s2670,s6855,s7383,s5837,s7337,s2105,s2151,s6218,s6232,s7380,s5836,s2524,s9842]) ).

cnf(s9868,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1727,s3011,s1798,s2718,s6855,s8763,s2670,s9851,s1208,s9867,s9866,s5127,s9865,s7380,s2151,s3755,s5836,s6218,s2105,s7382,s9862,s5524,s7337,s6232,s9842]) ).

cnf(s9869,plain,
    ( spl0_370
    | ~ spl0_206
    | spl0_376
    | spl0_544
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_368
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s8224,s538,s2693,s1726,s2219,s4649,s8653,s7663,s1716,s9861,s1688,s9842,s9259]) ).

cnf(s9870,plain,
    ( spl0_11
    | spl0_383
    | ~ spl0_370
    | ~ spl0_362
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368 ),
    inference(rat,[],[s2104,s5100,s5143,s4828,s10,s9085,s1786,s6960,s539,s3199,s8653,s4644,s1724,s9843]) ).

cnf(s9871,plain,
    ( ~ spl0_370
    | ~ spl0_362
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s2111,s9085,s3199,s6343,s8034,s37,s2296,s5176,s9870,s3073,s4644,s5524,s9843,s9256,s9842]) ).

cnf(s9872,plain,
    ( ~ spl0_362
    | ~ spl0_309
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5018,s6538,s2296,s1653,s1716,s9854,s9869,s1688,s9871,s2222,s3622,s5524,s7337,s6957,s9868,s9256,s9259,s9842]) ).

cnf(s9873,plain,
    ( ~ spl0_361
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306 ),
    inference(rat,[],[s4828,s5176,s2151,s5100,s6218,s2105,s6232,s9842]) ).

cnf(s9874,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6235,s22,s2721,s342,s6724,s1716,s5024,s1208,s1688,s9872,s9871,s2222,s7382,s9873,s7337,s6957,s9868,s9842,s9259]) ).

cnf(s9875,plain,
    ( ~ spl0_362
    | ~ spl0_309
    | spl0_31
    | ~ spl0_196
    | ~ spl0_301
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_365 ),
    inference(rat,[],[s8437,s37,s9870,s2444,s5168,s4146,s5982,s5617,s6099,s6659,s6963,s5707,s203,s1716,s6747,s3088,s2492,s2222,s7383,s5708,s2202,s9259,s9842]) ).

cnf(s9876,plain,
    ( ~ spl0_313
    | spl0_544
    | ~ spl0_11
    | ~ spl0_361
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s2424,s2339,s7663,s9854,s6218,s6232,s9842]) ).

cnf(s9877,plain,
    ( ~ spl0_309
    | spl0_31
    | ~ spl0_196
    | spl0_302
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2780,s6402,s2509,s3195,s3073,s4644,s6963,s9876,s5357,s3587,s3496,s6962,s3011,s6120,s2012,s7283,s3021,s4828,s2151,s5100,s6218,s2105,s7382,s9875,s7383,s5708,s5524,s6232,s4726,s6957,s2202,s9257,s9842]) ).

cnf(s9878,plain,
    ( ~ spl0_362
    | spl0_377
    | ~ spl0_20
    | ~ spl0_315
    | ~ spl0_511
    | ~ spl0_301
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s5573,s1716,s9850,s2222,s9259]) ).

cnf(s9879,plain,
    ( ~ spl0_196
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4828,s7283,s2151,s5100,s6218,s2105,s7382,s9878,s1727,s6659,s2721,s6120,s203,s6724,s5024,s6033,s1208,s9877,s9874,s7337,s6232,s4726,s6957,s9868,s9842,s9259]) ).

cnf(s9880,plain,
    ( ~ spl0_31
    | ~ spl0_309
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6552,s8763,s2718,s4685,s2680,s3011,s6200,s4828,s8193,s2777,s5176,s5745,s2151,s6218,s7382,s9856,s7337,s6232,s6957,s9868,s5127,s9879,s9843,s9842]) ).

cnf(s9881,plain,
    ( ~ spl0_362
    | ~ spl0_393
    | spl0_31
    | ~ spl0_309
    | spl0_196
    | ~ spl0_301
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2012,s3011,s6919,s6747,s3622]) ).

cnf(s9882,plain,
    ( ~ spl0_4
    | ~ spl0_484
    | ~ spl0_370
    | ~ spl0_527
    | ~ spl0_11
    | spl0_348
    | ~ spl0_303 ),
    inference(rat,[],[s3195,s6964,s7267,s2780,s9257]) ).

cnf(s9883,plain,
    ( ~ spl0_309
    | ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7265,s9750,s6343,s6402,s8034,s37,s9882,s2675,s7380,s6963,s3071,s9876,s5357,s7788,s4828,s3496,s6962,s6861,s3011,s6120,s2012,s6200,s1653,s2777,s5745,s2151,s6218,s7382,s9881,s7383,s5708,s2202,s9880,s5524,s7337,s6232,s4726,s6957,s9868,s5127,s9879,s9843,s9842]) ).

cnf(s9884,plain,
    ( ~ spl0_31
    | spl0_309
    | spl0_196
    | ~ spl0_301
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5050,s4828,s7380,s2935,s3071,s2151,s2670,s5357,s3755,s6218,s2105,s3496,s7382,s5221,s9878,s7383,s5619,s6538,s22,s1653,s342,s9859,s6232,s6033,s6724,s1208,s6659,s203,s5024,s9843,s9842,s9259]) ).

cnf(s9885,plain,
    ( ~ spl0_303
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5225,s8362,s3021,s7601,s5126,s1653,s6120,s9884,s6724,s1208,s9883,s5127,s9879,s6957,s9868,s7337,s4726,s9843]) ).

cnf(s9886,plain,
    ( ~ spl0_302
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5053,s4828,s7382,s5176,s9845,s5120,s4726]) ).

cnf(s9887,plain,
    ( ~ spl0_362
    | spl0_38
    | ~ spl0_363
    | ~ spl0_513
    | ~ spl0_31
    | ~ spl0_309
    | ~ spl0_368
    | spl0_306
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s7265,s5429,s6343,s2087,s8034,s37,s2151,s5405,s2296,s5176,s4237,s5018,s3576,s6235,s5708,s1798,s3088,s7337,s9257,s9842,s9256]) ).

cnf(s9888,plain,
    ( ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4828,s5176,s2151,s5805,s5050,s3755,s7382,s9887,s2721,s7380,s2122,s5409,s5707,s5014,s6101,s6957,s9886,s5524,s7337,s5892,s6955,s9885,s9842,s9843]) ).

cnf(s9889,plain,
    ( ~ spl0_362
    | ~ spl0_323
    | ~ spl0_527
    | spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_304
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s2219,s2509,s2353,s3195,s8653,s5982,s3041,s6659,s2012,s203,s3011,s2492,s6747,s7383,s5708,s2202,s9257,s9259,s9842]) ).

cnf(s9890,plain,
    ( ~ spl0_313
    | spl0_544
    | spl0_348
    | ~ spl0_11
    | ~ spl0_361
    | ~ spl0_302
    | ~ spl0_368
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s4519,s2145,s681,s7365,s7663,s9854]) ).

cnf(s9891,plain,
    ( ~ spl0_302
    | ~ spl0_527
    | spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_304
    | ~ spl0_368
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7365,s5168,s6402,s5617,s2509,s6659,s3195,s3060,s3073,s4644,s6963,s9890,s3587,s7525,s5845,s6962,s3011,s6120,s2012,s7774,s1653,s3041,s4828,s5053,s7382,s9889,s3276,s5120,s5524,s4726,s7383,s5708,s2202,s9257,s9842]) ).

cnf(s9892,plain,
    ( ~ spl0_309
    | ~ spl0_196
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2085,s2151,s5381,s2669,s5805,s5050,s3755,s2012,s7382,s2721,s7380,s3088,s2122,s3071,s5707,s5014,s6957,s9891,s5357,s7383,s5708,s2202,s9888,s7337,s5892,s6955,s9885,s9842,s9843]) ).

cnf(s9893,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8653,s5461,s2296,s6092,s9854,s1688,s3841,s4216,s5579,s9581,s6396,s22,s6957,s342,s9886,s5524,s7681,s7337,s6659,s203,s5020,s1208,s9892,s6955,s9885,s9256,s9257,s9259,s9842]) ).

cnf(s9894,plain,
    ( ~ spl0_302
    | ~ spl0_206
    | ~ spl0_37
    | ~ spl0_418
    | ~ spl0_196
    | ~ spl0_304
    | spl0_319 ),
    inference(rat,[],[s4828,s4961,s3041,s3276,s5120]) ).

cnf(s9895,plain,
    ( ~ spl0_196
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2085,s2151,s5381,s2669,s5712,s4961,s3755,s7382,s3088,s5707,s6957,s9894,s7383,s1727,s1653,s2721,s2714,s9851,s2524,s9893,s7681,s1208,s9892,s7337,s4726,s5892,s6955,s9885,s9842]) ).

cnf(s9896,plain,
    ( ~ spl0_362
    | ~ spl0_302
    | ~ spl0_309
    | ~ spl0_31
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4238,s7380,s6960,s2087,s9683,s5143,s3072,s10,s681,s1786,s1724,s2509,s4023,s5242,s6919,s5950,s6343,s1653,s8034,s37,s6201,s2151,s2296,s5176,s6963,s9855,s9858,s5524,s7337,s4726,s9895,s9842,s9843,s9256]) ).

cnf(s9897,plain,
    ( spl0_11
    | ~ spl0_393
    | ~ spl0_302
    | ~ spl0_309
    | spl0_196
    | ~ spl0_304
    | spl0_319
    | ~ spl0_368
    | ~ spl0_421 ),
    inference(rat,[],[s7506,s6201,s6861,s6200,s1653,s8193,s5126,s5127,s9843]) ).

cnf(s9898,plain,
    ( ~ spl0_302
    | ~ spl0_309
    | ~ spl0_31
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5305,s6258,s2952,s7380,s6343,s5805,s4025,s6306,s8034,s37,s2151,s2296,s5176,s9897,s5703,s7383,s5837,s3755,s7382,s9896,s5524,s7337,s4726,s6955,s9885,s9895,s9842,s9256,s9257]) ).

cnf(s9899,plain,
    ( ~ spl0_301
    | spl0_196
    | ~ spl0_304
    | ~ spl0_368
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5745,s2777,s5225,s6200,s8362,s8370,s6101,s5127,s9843]) ).

cnf(s9900,plain,
    ( ~ spl0_31
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6552,s5050,s7506,s9866,s3755,s6201,s7382,s1653,s9860,s9859,s9898,s4726,s5127,s6957,s9899,s9895,s6955,s9885,s9843]) ).

cnf(s9901,plain,
    ( ~ spl0_323
    | ~ spl0_11
    | ~ spl0_309
    | spl0_31
    | ~ spl0_345
    | ~ spl0_304
    | ~ spl0_368
    | ~ spl0_421 ),
    inference(rat,[],[s6861,s2012,s6200,s7506,s3041,s7383,s5708,s2202,s9843,s9842]) ).

cnf(s9902,plain,
    ( ~ spl0_362
    | ~ spl0_370
    | ~ spl0_11
    | ~ spl0_309
    | spl0_31
    | ~ spl0_302
    | ~ spl0_345
    | ~ spl0_304
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s8008,s8132,s8116,s7525,s2823,s8655,s6962,s160,s4930,s5143,s1212,s8509,s10,s2029,s37,s1786,s1724,s2444,s4146,s5982,s5617,s22,s6659,s3279,s3011,s53,s203,s6747,s2493,s2492,s6181,s5524,s2524,s7383,s5708,s2202,s2151,s1653,s6201,s9901,s7337,s4726,s9256,s9842,s9259]) ).

cnf(s9903,plain,
    ( ~ spl0_309
    | ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6855,s7380,s4072,s5805,s3755,s7382,s9902,s9861,s1653,s6201,s2151,s9901,s9897,s7383,s5708,s5524,s7337,s4726,s5127,s6957,s9899,s9895,s6955,s9885,s2524,s2202,s9900,s9842]) ).

cnf(s9904,plain,
    ( ~ spl0_368
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3923,s3463,s5429,s3072,s5415,s5405,s681,s7382,s2509,s3755,s5327,s5242,s2952,s5712,s5999,s2151,s5573,s3041,s9861,s6919,s5126,s1653,s6659,s6120,s203,s9851,s7681,s5020,s6033,s1208,s9903,s9900,s6957,s9899,s9895,s6955,s9885,s4726,s5524,s7337,s9257,s9259,s9842]) ).

cnf(s9905,plain,
    ( ~ spl0_362
    | ~ spl0_511
    | ~ spl0_364
    | ~ spl0_23
    | ~ spl0_1
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s7265,s539,s5429,s5428,s2900,s6659,s4954,s203,s6855,s6747,s2492,s7383,s6235,s9446,s5405,s9257,s9259,s9842]) ).

cnf(s9906,plain,
    ( ~ spl0_38
    | ~ spl0_364
    | ~ spl0_360
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s8763,s2718,s2680,s3011]) ).

cnf(s9907,plain,
    ( ~ spl0_323
    | spl0_466
    | ~ spl0_302
    | ~ spl0_31
    | ~ spl0_367
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s6682,s5051,s6962,s4954,s9342,s6855,s7383,s6235,s9906,s7382,s9905,s6455,s7380,s5050,s5018,s8653,s4828,s5176,s7337,s9842,s9843]) ).

cnf(s9908,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1872,s8034,s9861,s2296,s5018,s2002,s5141,s5120,s2151,s9907,s3276,s5524,s7381,s9904,s9256,s9842]) ).

cnf(s9909,plain,
    ( ~ spl0_38
    | ~ spl0_1
    | ~ spl0_360
    | ~ spl0_303
    | ~ spl0_309
    | ~ spl0_196
    | ~ spl0_367
    | ~ spl0_192 ),
    inference(rat,[],[s9599,s6507,s3511,s203,s5652,s6659,s6962,s6333,s83,s2721,s3011,s9257,s9259]) ).

cnf(s9910,plain,
    ( ~ spl0_323
    | ~ spl0_303
    | ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3755,s7382,s5050,s3088,s7380,s5707,s3071,s6356,s8178,s7383,s6235,s9909,s5018,s8653,s4828,s5176,s7337,s7381,s9904,s6957,s9908,s9843,s9842]) ).

cnf(s9912,plain,
    ( spl0_377
    | ~ spl0_362
    | ~ spl0_301
    | ~ spl0_367
    | ~ spl0_421
    | ~ spl0_365 ),
    inference(rat,[],[s5707,s3088,s6356,s7383]) ).

cnf(s9913,plain,
    ( ~ spl0_38
    | ~ spl0_1
    | ~ spl0_303
    | ~ spl0_196
    | ~ spl0_367
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s1353,s6507,s5503,s203,s3599,s6659,s3577,s83,s2721,s9257,s9259]) ).

cnf(s9914,plain,
    ( spl0_377
    | ~ spl0_348
    | ~ spl0_301
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5805,s3755,s7380,s7382,s3071,s9912,s8178,s7337,s7381,s9904,s9842]) ).

cnf(s9915,plain,
    ( spl0_11
    | ~ spl0_377
    | ~ spl0_303
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_367
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s6235,s9913,s5018,s8653,s9842]) ).

cnf(s9916,plain,
    ( ~ spl0_303
    | ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s10,s9198,s1786,s2611,s4023,s6963,s6343,s6173,s5950,s9854,s8034,s37,s2296,s9915,s9914,s2151,s9910,s6957,s9908,s5524,s7381,s9904,s9842,s9843,s9256]) ).

cnf(s9917,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_196
    | ~ spl0_367
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s9907,s3276]) ).

cnf(s9918,plain,
    ( ~ spl0_323
    | spl0_11
    | ~ spl0_304
    | ~ spl0_31
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3755,s7382,s5050,s9912,s7380,s6235,s5409,s9374,s6101,s6957,s9917,s4828,s7337,s7381,s9904,s5018,s9843,s9842]) ).

cnf(s9919,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2721,s6235,s2122,s9914,s5014,s6957,s5120,s2151,s9918,s2002,s5018,s6955,s9916,s9842]) ).

cnf(s9920,plain,
    ( spl0_4
    | ~ spl0_196
    | ~ spl0_367
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2509,s8562,s681,s1724,s3072,s4023,s6963,s6343,s3863,s5950,s9854,s8034,s37,s5524,s9843,s9842]) ).

cnf(s9921,plain,
    ( ~ spl0_31
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2296,s9919,s9920,s7381,s9904,s9256]) ).

cnf(s9922,plain,
    ( spl0_466
    | ~ spl0_360
    | spl0_31
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s7383,s1727,s6855,s9906,s7380,s4961,s5050,s2524,s9842,s9843]) ).

cnf(s9923,plain,
    ( ~ spl0_323
    | spl0_11
    | spl0_31
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2680,s6445,s1727,s2832,s9912,s5803,s7382,s6957,s3003,s3755,s3276,s9922,s4828,s7337,s9920,s7381,s9904,s8653,s9842,s9257]) ).

cnf(s9924,plain,
    ( spl0_466
    | ~ spl0_348
    | spl0_31
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s3011,s1727,s2718,s1798,s8763,s6855,s7380,s5712,s5805,s9842]) ).

cnf(s9925,plain,
    ( spl0_11
    | spl0_31
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7243,s9913,s8700,s1727,s9914,s6957,s3276,s9924,s2151,s9923,s8653,s7337,s7381,s9904,s9842]) ).

cnf(s9926,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8120,s5838,s2225,s3109,s319,s8162,s8114,s3587,s3577,s6962,s2634,s131,s2721,s3011,s8234,s2436,s7214,s605,s9924,s2823,s3276,s7337,s2524,s2944,s7304,s9925,s9921,s9920,s7381,s9904]) ).

cnf(s9927,plain,
    ( ~ spl0_323
    | ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8120,s5838,s2225,s3109,s319,s8162,s8114,s2634,s131,s8234,s7348,s2766,s6956,s3599,s3587,s5014,s3577,s6962,s2721,s3011,s605,s2012,s1653,s3021,s6957,s9926,s2944,s9920,s7381,s9904,s2524,s9925,s9921,s9257]) ).

cnf(s9928,plain,
    ( ~ spl0_309
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7494,s4158,s175,s171,s4015,s3019,s5743,s8162,s2503,s464,s9571,s681,s274,s7364,s9913,s3599,s8121,s5652,s6956,s3577,s6962,s5324,s6333,s6461,s8700,s2721,s3011,s2294,s1727,s3622,s9914,s7382,s6957,s3755,s3276,s9924,s2151,s9927,s9925,s9921,s7337,s9920,s7381,s9904,s9257,s9843,s9842]) ).

cnf(s9929,plain,
    ( ~ spl0_323
    | ~ spl0_31
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5050,s7380,s3755,s6855,s7382,s7383,s3772,s5405,s9915,s6724,s3179,s6956,s6957,s9918,s9917,s4828,s7337,s1208,s6033,s9928,s5018,s2296,s9920,s7381,s9904,s9843,s9256]) ).

cnf(s9930,plain,
    ( ~ spl0_302
    | spl0_323
    | ~ spl0_23
    | ~ spl0_1
    | ~ spl0_502
    | ~ spl0_196
    | ~ spl0_421
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7287,s8763,s5428,s9610,s255,s10,s5370,s2693,s5736,s1910,s6439,s9496,s1688,s7380,s1872,s5805,s5120,s3276,s2151,s9256,s9842,s9257]) ).

cnf(s9931,plain,
    ( ~ spl0_31
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6235,s2721,s9914,s6724,s6957,s9930,s2151,s9929,s5018,s8653,s2296,s7337,s9920,s1208,s9821,s9928,s7381,s9904,s9842,s9256]) ).

cnf(s9932,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_51
    | ~ spl0_392
    | ~ spl0_527
    | ~ spl0_315
    | ~ spl0_11
    | spl0_31
    | ~ spl0_4
    | ~ spl0_196
    | ~ spl0_421
    | ~ spl0_192 ),
    inference(rat,[],[s8234,s8156,s7214,s2750,s9924,s2823,s3276,s2721,s2944,s7304,s9843]) ).

cnf(s9933,plain,
    ( ~ spl0_323
    | ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8234,s8156,s7214,s6113,s9914,s3021,s6957,s9932,s7337,s9920,s9925,s8178,s8357,s7383,s7381,s9904,s53,s2422,s1727,s2721,s9851,s9931,s1208,s9928,s9843,s9842]) ).

cnf(s9934,plain,
    ( ~ spl0_196
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6593,s3276,s9914,s9924,s2151,s9933,s1727,s2721,s9851,s9931,s1208,s9928,s7337,s9842]) ).

cnf(s9935,plain,
    ( ~ spl0_38
    | ~ spl0_466
    | ~ spl0_323
    | ~ spl0_31
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s6259,s5803,s4249,s2832,s2256,s4685,s6445,s6659,s7380,s2680,s83,s9446,s4828,s7382,s3755,s1690,s3003,s8653,s5176,s9843,s9257]) ).

cnf(s9936,plain,
    ( ~ spl0_466
    | ~ spl0_323
    | ~ spl0_31
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s539,s5428,s2952,s6659,s5429,s203,s8357,s5405,s4323,s7383,s6033,s1208,s6235,s8193,s9935,s7382,s3003,s3755,s7337,s7381,s9904,s9934,s8653,s5018,s5176,s9257,s9259,s9842]) ).

cnf(s9937,plain,
    ( ~ spl0_323
    | ~ spl0_31
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6235,s8178,s9906,s3071,s7380,s6957,s5050,s9907,s9936,s5018,s4828,s5176,s7337,s7381,s9904,s9842,s9843]) ).

cnf(s9938,plain,
    ( ~ spl0_319
    | ~ spl0_23
    | spl0_11
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5579,s9507,s2295,s255,s1982,s10,s5370,s2693,s1910,s6439,s9496,s1688,s9821,s1872,s2002,s7381,s9904,s9934,s8653,s9256,s9842,s9257]) ).

cnf(s9939,plain,
    ( spl0_11
    | ~ spl0_31
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6283,s1353,s3665,s6507,s2256,s203,s1690,s6659,s2067,s83,s6956,s6235,s6101,s9914,s6957,s6201,s9938,s5144,s1653,s5126,s5018,s8653,s2151,s8362,s5225,s9937,s5127,s9934,s9257,s9259,s9842,s9843]) ).

cnf(s9940,plain,
    ( ~ spl0_31
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s203,s6659,s6507,s5617,s1353,s1212,s4326,s6303,s7190,s1653,s3003,s6402,s9198,s2509,s10,s8562,s1786,s1724,s1872,s4023,s6963,s6343,s5950,s9854,s8034,s37,s3984,s2296,s4221,s9939,s2151,s9937,s5524,s7381,s9904,s9259,s9257,s9842,s9843,s9256]) ).

cnf(s9941,plain,
    ( ~ spl0_38
    | ~ spl0_362
    | spl0_371
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s6259,s5803,s4249,s4685,s2832,s2256,s7380,s6445,s6659,s9906,s2680,s83,s7337,s1690,s9843,s9257]) ).

cnf(s9942,plain,
    ( spl0_11
    | ~ spl0_323
    | spl0_31
    | spl0_196
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s10,s5520,s9311,s7380,s1831,s4685,s8619,s9941,s1690,s7382,s3003,s3755,s9922,s4828,s5126,s8653,s7337,s2524,s9842,s9843]) ).

cnf(s9943,plain,
    ( ~ spl0_4
    | spl0_201
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s2823,s7304,s2944]) ).

cnf(s9944,plain,
    ( ~ spl0_309
    | spl0_38
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_323
    | spl0_31
    | spl0_196
    | spl0_306
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s1353,s3175,s6507,s3920,s203,s2509,s6659,s5242,s5617,s6343,s4146,s8034,s37,s9943,s6956,s605,s9861,s3041,s6919,s2436,s2012,s2524,s9257,s9259]) ).

cnf(s9945,plain,
    ( ~ spl0_1
    | ~ spl0_20
    | ~ spl0_386
    | ~ spl0_51
    | ~ spl0_315
    | spl0_38
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8242,s142,s3273,s158,s9118,s8936,s6120,s1872,s3832,s10,s1910,s9311,s1724,s2353,s1831,s7381,s9904,s2524,s9942,s9940,s9934]) ).

cnf(s9946,plain,
    ( spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7214,s8234,s1638,s8156,s2405,s2750,s681,s9943,s2944,s5631,s8034,s15,s9945,s5754,s67,s6659,s5226,s3279,s53,s203,s8357,s9851,s2184,s2423,s1208,s9944,s6356,s8178,s7383,s1727,s5524,s7381,s9904,s2524,s9942,s9940,s9934,s9843,s9257,s9259,s9842]) ).

cnf(s9947,plain,
    ( ~ spl0_4
    | spl0_387
    | spl0_348
    | ~ spl0_51
    | ~ spl0_63
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_309
    | ~ spl0_501
    | ~ spl0_302
    | ~ spl0_11
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3779,s7316,s8053,s2468,s5565,s307,s158,s5606,s142,s4500,s2952,s4253,s8242,s7334,s1910,s6231,s2682,s1831,s6468,s5370,s681,s131,s9861,s1688,s5329,s8234,s2564,s3149,s5524,s7381,s9904,s9934,s9940,s7214,s9843,s9257,s9842]) ).

cnf(s9948,plain,
    ( spl0_466
    | ~ spl0_63
    | ~ spl0_1
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2509,s8562,s3920,s1724,s2696,s4023,s6963,s6343,s5950,s9854,s37,s9947,s2335,s6956,s7506,s9924,s9922,s5524,s7337,s7381,s9904,s5127,s9942,s9940,s9934,s3496,s3011,s10,s255,s1353,s6507,s203,s6659,s83,s9946,s53,s2773,s9843,s9257,s9259,s9256,s9842]) ).

cnf(s9949,plain,
    ( ~ spl0_466
    | spl0_416
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_323
    | ~ spl0_192 ),
    inference(rat,[],[s6343,s37,s4249,s7304,s1690,s7382,s3003,s3755,s5524,s9842]) ).

cnf(s9950,plain,
    ( ~ spl0_1
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3920,s2696,s2510,s9861,s1724,s1653,s2275,s6120,s7380,s2122,s3059,s6682,s2586,s7383,s2294,s2002,s6461,s6956,s67,s7506,s9948,s9922,s9949,s1353,s6507,s2256,s203,s6659,s83,s5524,s7337,s7381,s9904,s5127,s9942,s9940,s9934,s3011,s9946,s9257,s9843,s9259,s9842]) ).

cnf(s9951,plain,
    ( spl0_395
    | spl0_195
    | ~ spl0_393
    | ~ spl0_217
    | ~ spl0_100
    | ~ spl0_391
    | ~ spl0_367
    | ~ spl0_365 ),
    inference(rat,[],[s2468,s307,s2396,s5606,s5693,s4500,s3738,s4253,s7334,s2952]) ).

cnf(s9952,plain,
    ( spl0_466
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6646,s369,s6401,s2468,s4484,s272,s138,s4338,s3273,s9951,s5754,s67,s538,s2002,s2631,s6120,s2150,s77,s2122,s7382,s53,s6682,s6747,s2095,s7383,s5981,s5168,s8763,s7380,s255,s3806,s2405,s10,s3920,s681,s6139,s5525,s8394,s7147,s1688,s2564,s131,s2335,s8234,s6956,s7214,s7506,s9924,s9922,s5524,s7337,s5127,s2718,s3496,s6333,s3011,s9946,s7381,s9904,s2944,s7304,s9943,s9942,s9940,s9934,s6064,s6398,s1,s8034,s15,s9950,s9256,s9842]) ).

cnf(s9953,plain,
    ( ~ spl0_309
    | ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7391,s4017,s5981,s5617,s1212,s5631,s3577,s5754,s3866,s9571,s67,s6461,s2294,s1798,s6747,s7382,s3755,s9952,s6398,s8034,s1,s15,s9950,s7337,s7381,s9904,s9934,s9940,s3496,s3011,s9946,s9257,s9843]) ).

cnf(s9954,plain,
    ( ~ spl0_32
    | ~ spl0_506
    | spl0_309
    | ~ spl0_302
    | spl0_306 ),
    inference(rat,[],[s2696,s3920,s6956,s1353,s1649,s5020,s6507,s3511,s203,s1208,s9257,s9259]) ).

cnf(s9955,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s3072,s8462,s3923,s1212,s681,s2944,s6398,s4189,s5631,s8034,s1,s15,s83,s6659,s9954,s1314,s5754,s18,s67,s6461,s2294,s1798,s5516,s8357,s9851,s1208,s9953,s3496,s3011,s9946,s7381,s9904,s9942,s9940,s9934,s9257,s9843]) ).

cnf(s9956,plain,
    ( ~ spl0_309
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6682,s6962,s7383,s2714,s2294,s2002,s6461,s67,s3967,s5707,s3496,s3011,s2012,s7337,s7381,s9904,s5127,s2524,s1653,s3021,s6957,s9955,s9942,s9940,s9934,s9843]) ).

cnf(s9957,plain,
    ( spl0_38
    | ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8234,s8156,s8034,s8357,s9945,s8178,s7383,s8619,s1727,s53,s5022,s6113,s6724,s3021,s9942,s9934,s6659,s203,s5024,s7214,s9924,s3755,s7382,s5405,s3179,s1208,s7381,s9904,s6957,s9955,s6033,s9956,s9940,s7337,s9843,s9842,s9259]) ).

cnf(s9958,plain,
    ( ~ spl0_323
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6461,s67,s2294,s3967,s1798,s5707,s8357,s3496,s3011,s9957,s1208,s9956,s6957,s9955,s7337,s7381,s9904,s5127,s9934,s9940,s9843]) ).

cnf(s9959,plain,
    ( ~ spl0_302
    | spl0_11
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9198,s2693,s10,s8287,s1982,s681,s6468,s1638,s9526,s6330,s2507,s1688,s1872,s6201,s7381,s9904,s5127,s3003,s8653,s9924,s2151,s9958,s9940,s7337,s1653,s5126,s9934,s9842]) ).

cnf(s9960,plain,
    ( spl0_11
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2766,s1353,s3665,s6507,s2256,s203,s6659,s83,s6956,s1727,s6101,s9914,s6957,s9959,s5144,s1690,s1653,s3003,s5126,s8653,s9924,s2151,s9940,s7337,s8362,s5225,s9958,s5127,s9934,s9257,s9259,s9842,s9843]) ).

cnf(s9961,plain,
    ( ~ spl0_309
    | ~ spl0_315
    | ~ spl0_20
    | spl0_38
    | ~ spl0_11
    | spl0_31
    | ~ spl0_528
    | ~ spl0_365 ),
    inference(rat,[],[s2029,s1212,s4146,s5617,s605,s9861,s2436,s2012,s2524]) ).

cnf(s9962,plain,
    ( ~ spl0_1
    | ~ spl0_509
    | ~ spl0_20
    | ~ spl0_466
    | spl0_31
    | ~ spl0_192 ),
    inference(rat,[],[s7265,s1910,s5429,s2353,s3003,s9257]) ).

cnf(s9963,plain,
    ( ~ spl0_206
    | spl0_417
    | spl0_38
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7342,s4063,s2653,s5328,s5290,s3273,s171,s5802,s9118,s159,s3175,s8509,s9861,s6181,s53,s2493,s6956,s2893,s9821,s8034,s5631,s15,s9962,s5405,s6033,s9961,s3577,s3866,s9960,s6659,s203,s2492,s5754,s67,s3279,s6747,s7383,s7382,s3755,s9924,s2151,s9958,s7337,s5524,s2524,s9934,s6356,s1727,s9940,s7381,s9904,s9257,s9842,s9259]) ).

cnf(s9964,plain,
    ( spl0_38
    | ~ spl0_302
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5942,s5321,s3271,s1638,s6201,s6468,s1653,s9963,s3920,s681,s5631,s8034,s15,s9962,s6956,s2893,s5405,s9821,s6033,s9961,s3577,s5754,s3866,s67,s6659,s3279,s203,s6747,s6181,s2492,s6356,s7383,s1727,s5524,s7381,s9904,s9934,s2524,s7382,s3755,s9924,s2151,s9958,s9940,s7337,s9960,s9257,s9259,s9842]) ).

cnf(s9965,plain,
    ( ~ spl0_1
    | ~ spl0_38
    | ~ spl0_466
    | ~ spl0_348
    | spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s2682,s1910,s9198,s4249,s10,s2256,s255,s6659,s1690,s83,s3003,s7382,s3755,s9843,s9842,s9257,s9256]) ).

cnf(s9966,plain,
    ( ~ spl0_302
    | spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s10,s2154,s9198,s3175,s2611,s6956,s2893,s9821,s5617,s4017,s7391,s5981,s1212,s3920,s6398,s5631,s9571,s8034,s1,s15,s9965,s3577,s5754,s3866,s67,s6461,s2294,s1798,s6747,s3496,s3011,s9964,s7381,s9904,s9934,s7382,s3755,s9924,s2151,s9958,s9940,s7337,s9842,s9257,s9843]) ).

cnf(s9967,plain,
    ( spl0_306
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5617,s1792,s4017,s1724,s5981,s1212,s3577,s5329,s3866,s3149,s6398,s67,s9571,s8034,s1,s3496,s6461,s9965,s3011,s2294,s1727,s2222,s9914,s6957,s9966,s7382,s3755,s9924,s2151,s9958,s9940,s9934,s7381,s9904,s7337,s9259,s9257,s9843,s9842]) ).

cnf(s9968,plain,
    ( spl0_11
    | ~ spl0_309
    | spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_306 ),
    inference(rat,[],[s3717,s8193,s4828]) ).

cnf(s9969,plain,
    ( ~ spl0_368
    | ~ spl0_360
    | ~ spl0_442
    | spl0_195
    | spl0_4
    | spl0_206
    | ~ spl0_320
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_31
    | ~ spl0_192 ),
    inference(rat,[],[s4256,s7380,s7382,s4685,s5837,s4397,s3115,s6964,s6402,s6200,s5731,s4750,s4726,s1653,s9257,s9843]) ).

cnf(s9970,plain,
    ( ~ spl0_309
    | ~ spl0_1
    | spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2509,s8562,s6402,s1724,s7381,s1872,s4023,s9969,s7506,s5847,s5127,s4766,s6955,s6963,s6343,s3706,s5950,s9854,s37,s1653,s2935,s2296,s6791,s9968,s2645,s5524,s9967,s9843,s9256,s9842]) ).

cnf(s9971,plain,
    ( spl0_11
    | ~ spl0_305
    | spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s1796,s6691,s6235,s3618,s4828,s5018,s9842]) ).

cnf(s9972,plain,
    ( ~ spl0_1
    | spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s31,s203,s5573,s6507,s7822,s1649,s3599,s6402,s5127,s5642,s1872,s4766,s6963,s4144,s5950,s9854,s37,s1653,s2296,s6791,s9971,s1208,s9970,s5524,s9967,s9259,s9257,s9256,s9842]) ).

cnf(s9973,plain,
    ( spl0_1
    | ~ spl0_31 ),
    inference(rat,[],[s2296,s8653,s8034,s9256]) ).

cnf(s9974,plain,
    ( spl0_11
    | spl0_392
    | ~ spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s3717,s6961,s5847,s7789,s3116,s3587,s7380,s6962,s5050,s3618,s2680,s5077,s4828,s5018,s2718,s9843]) ).

cnf(s9975,plain,
    ( ~ spl0_302
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3706,s2645,s6956,s1649,s7506,s6402,s5127,s1872,s4766,s6963,s2680,s5950,s9854,s1653,s2935,s2296,s6791,s9974,s6507,s203,s6659,s83,s3011,s9972,s5524,s9967,s9973,s9256,s9257,s9259,s9842]) ).

cnf(s9976,plain,
    ( ~ spl0_309
    | ~ spl0_303
    | ~ spl0_360
    | spl0_11
    | spl0_38
    | ~ spl0_306 ),
    inference(rat,[],[s5100,s8193,s2106]) ).

cnf(s9977,plain,
    ( spl0_11
    | spl0_38
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1910,s2952,s5642,s9086,s5126,s2335,s3841,s5573,s6963,s8918,s2295,s1690,s5579,s6453,s6659,s203,s6691,s2423,s1208,s9976,s6956,s6101,s5409,s7380,s7383,s5050,s6235,s5077,s4828,s5018,s9967,s9973,s6957,s9975,s9259,s9843,s9842]) ).

cnf(s9978,plain,
    ( ~ spl0_11
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4239,s307,s7380,s4012,s2675,s7382,s8385,s2024,s2879,s6058,s7381,s4499,s4397,s6956,s8562,s5242,s3115,s5016,s6964,s6031,s5847,s6402,s6119,s5356,s1724,s4766,s1872,s2952,s4023,s6963,s4452,s6343,s5950,s9854,s37,s131,s1653,s2296,s7797,s6791,s5524,s9967,s9973,s6957,s9975,s9842,s9257,s9843,s9256]) ).

cnf(s9979,plain,
    ( ~ spl0_323
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9086,s2952,s1690,s2651,s1910,s4480,s2682,s3073,s3060,s4228,s7382,s6198,s9446,s7380,s6659,s2718,s5050,s83,s3011,s2680,s5077,s9977,s4828,s5018,s9978,s9967,s9973,s9843,s9257]) ).

cnf(s9980,plain,
    ( spl0_38
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4300,s6969,s7381,s6221,s8636,s5837,s6957,s4453,s4936,s131,s7382,s5703,s6101,s6794,s4238,s5305,s5409,s7262,s1653,s2096,s6960,s6258,s6955,s7380,s8914,s6306,s6080,s2611,s2087,s3003,s9198,s10,s1724,s1872,s1786,s2952,s4023,s6963,s6343,s6173,s5950,s9854,s37,s2296,s5018,s5654,s5661,s5524,s9967,s9973,s2151,s9979,s9842,s9257,s9843,s9256]) ).

cnf(s9981,plain,
    ( spl0_319
    | spl0_11
    | ~ spl0_302
    | spl0_323 ),
    inference(rat,[],[s5126,s1653,s5120,s6267,s2151]) ).

cnf(s9982,plain,
    ( spl0_11
    | ~ spl0_302
    | ~ spl0_32
    | spl0_392
    | spl0_323
    | ~ spl0_31
    | ~ spl0_192 ),
    inference(rat,[],[s5516,s1208,s3511,s7381,s2002,s1872,s4726,s9981,s5018,s9973,s9257]) ).

cnf(s9983,plain,
    ( ~ spl0_302
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7444,s8636,s6872,s7382,s4453,s4936,s131,s4256,s2096,s6794,s6955,s7380,s6306,s5127,s1653,s6080,s2611,s2087,s3003,s5120,s6267,s9198,s1724,s1872,s4023,s6963,s6343,s6173,s5950,s9854,s4301,s2296,s9982,s5524,s2151,s9979,s5731,s3011,s6659,s10,s255,s83,s9980,s9973,s9842,s9843,s9256,s9257]) ).

cnf(s9984,plain,
    ( ~ spl0_313
    | spl0_319
    | ~ spl0_196
    | spl0_607
    | ~ spl0_301
    | ~ spl0_14
    | spl0_323
    | ~ spl0_1 ),
    inference(rat,[],[s2219,s8275,s8918]) ).

cnf(s9985,plain,
    ( spl0_200
    | spl0_11
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9085,s1910,s7381,s5651,s3579,s9666,s6659,s6960,s3199,s6963,s9984,s2002,s6961,s4195,s6032,s3587,s6962,s2721,s3011,s10,s255,s83,s9980,s9973,s5126,s5141,s6956,s6101,s5409,s7380,s5805,s5077,s5018,s9967,s2151,s9979,s6957,s9983,s9843,s9842,s9256]) ).

cnf(s9986,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_323
    | ~ spl0_1
    | ~ spl0_192 ),
    inference(rat,[],[s9198,s2693,s5736,s2151,s9842]) ).

cnf(s9987,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6592,s6101,s5141,s8362,s5126,s5127,s2219,s5077,s9985,s5018,s9967,s2151,s5225,s6957,s9983,s9986,s10,s255,s83,s9980,s9979,s9973,s9256,s9843]) ).

cnf(s9988,plain,
    ( ~ spl0_31
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6101,s5409,s6955,s7380,s2611,s2087,s9198,s4023,s6963,s6173,s5950,s9854,s4301,s2296,s9987,s6957,s9983,s10,s255,s83,s9980,s2151,s9979,s9973,s5524,s9842,s9843,s9256]) ).

cnf(s9989,plain,
    ( ~ spl0_196
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8212,s1688,s2219,s1910,s5785,s2353,s6659,s203,s2423,s7383,s1727,s6062,s2721,s9851,s1208,s3717,s9967,s9988,s9259,s9842]) ).

cnf(s9990,plain,
    ( ~ spl0_302
    | ~ spl0_360
    | spl0_11
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9851,s1208,s6062,s2645,s1997,s5126,s9989,s9967,s9988,s8653]) ).

cnf(s9991,plain,
    ( ~ spl0_304
    | ~ spl0_196
    | ~ spl0_301
    | ~ spl0_360
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5143,s10,s1724,s2011,s2693,s2219,s2509,s5027,s7382,s3003,s3755,s5050,s7380,s5409,s6101,s9988,s9256,s9842,s9843]) ).

cnf(s9992,plain,
    ( spl0_38
    | ~ spl0_196
    | ~ spl0_360
    | spl0_11
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9870,s7381,s1831,s7382,s6356,s5226,s5207,s5329,s6963,s9750,s3148,s8212,s2952,s2219,s1910,s2353,s6659,s203,s2423,s9976,s7383,s1727,s9967,s2202,s9988,s6956,s9991,s6957,s9990,s8653,s9843,s9257,s9259,s9842]) ).

cnf(s9993,plain,
    ( ~ spl0_196
    | ~ spl0_360
    | spl0_11
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9851,s1208,s2721,s2106,s9992,s5100,s6956,s9991,s9967,s9988,s8653,s6957,s9990]) ).

cnf(s9994,plain,
    ( spl0_38
    | ~ spl0_360
    | spl0_11
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3271,s6956,s6120,s6101,s9851,s8370,s1208,s8619,s8193,s9988,s6957,s9990,s5127,s1653,s5126,s9993,s9842,s9843]) ).

cnf(s9995,plain,
    ( spl0_315
    | spl0_11
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s67,s5077,s3866,s5050,s9752,s7380,s4031,s3116,s6962,s9967,s5847,s1653,s5126,s9993,s2680,s2718,s3011,s9994,s4828,s9843]) ).

cnf(s9996,plain,
    ( spl0_11
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8362,s2880,s6101,s5370,s6105,s6955,s1688,s3271,s1872,s6120,s9995,s10,s255,s83,s9994,s1653,s5126,s5127,s9993,s6957,s9990,s4828,s8653,s9988,s9256]) ).

cnf(s9997,plain,
    ( ~ spl0_309
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3060,s5845,s4023,s3605,s5950,s6659,s3734,s3187,s5785,s6956,s9861,s3041,s2645,s2012,s5524,s9996,s5636,s9967,s2524,s7383,s1727,s9988,s9257,s9843,s9842]) ).

cnf(s9998,plain,
    ( spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9861,s5785,s1997,s6659,s6062,s203,s9851,s2423,s1208,s9997,s7383,s1727,s5524,s9967,s9988,s9996,s9259,s9842]) ).

cnf(s9999,plain,
    ( ~ spl0_1
    | ~ spl0_302
    | ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1796,s5845,s5708,s3060,s7381,s4023,s9920,s5950,s9943,s1996,s2645,s6961,s9851,s6659,s2721,s83,s9998,s9967,s2202,s9988,s9996,s9257,s9843,s9842]) ).

cnf(s10000,plain,
    ( ~ spl0_302
    | ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9851,s1208,s6062,s2645,s1996,s9943,s8034,s9999,s9967,s9988,s9996]) ).

cnf(s10001,plain,
    ( spl0_38
    | ~ spl0_1
    | spl0_206
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s5370,s1872,s10,s6120,s9311,s9851,s1831,s1208,s8619,s2436,s2524,s9988,s605,s1653,s9842,s9843]) ).

cnf(s10002,plain,
    ( ~ spl0_313
    | spl0_544
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s2219,s2682,s7663,s5370,s9843]) ).

cnf(s10003,plain,
    ( ~ spl0_1
    | ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6592,s9436,s3199,s2219,s2944,s5950,s5642,s4766,s6963,s10002,s3587,s10,s6962,s255,s2721,s83,s3011,s10001,s1653,s3021,s6957,s10000,s9996,s9256]) ).

cnf(s10004,plain,
    ( spl0_38
    | ~ spl0_501
    | ~ spl0_4
    | ~ spl0_201
    | ~ spl0_11
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8357,s7381,s8156,s4726,s53,s2750,s6120,s2422,s9851,s5357,s1208,s8234,s7383,s2436,s7446,s1727,s9967,s2524,s9988,s605,s9843,s9842]) ).

cnf(s10005,plain,
    ( ~ spl0_196
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6889,s6961,s6400,s9851,s6962,s2721,s10004,s6099,s5168,s2900,s6446,s7304,s2944,s9565,s8034,s10003,s4708,s1997,s1653,s3021,s6957,s10000,s9967,s9988,s9996]) ).

cnf(s10006,plain,
    ( ~ spl0_309
    | spl0_38
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4023,s3060,s5950,s5845,s6659,s9943,s3605,s5785,s1996,s3585,s2645,s9967,s7383,s1727,s9988,s9861,s5524,s6956,s3041,s10001,s9996,s9843,s9257,s9842]) ).

cnf(s10007,plain,
    ( spl0_38
    | ~ spl0_302
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5785,s6659,s6062,s203,s9851,s2423,s1208,s10006,s9861,s7383,s10001,s1727,s5524,s9967,s9988,s9996,s9259,s9842]) ).

cnf(s10008,plain,
    ( ~ spl0_309
    | ~ spl0_38
    | ~ spl0_302
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3605,s2122,s3585,s7788,s6956,s3294,s3041,s1997,s2645,s9967,s9988,s9996,s5127,s5847,s10005]) ).

cnf(s10009,plain,
    ( ~ spl0_302
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7406,s5520,s2611,s4023,s6956,s5950,s9861,s3041,s9943,s7380,s1997,s1996,s3904,s3605,s6062,s3920,s1798,s9851,s1649,s2423,s1208,s10008,s6507,s10,s203,s255,s6659,s83,s10007,s5524,s9967,s9988,s9996,s9843,s9257,s9259,s9256,s9842]) ).

cnf(s10010,plain,
    ( spl0_370
    | ~ spl0_429
    | ~ spl0_14
    | ~ spl0_32
    | spl0_392
    | ~ spl0_201
    | ~ spl0_1
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6550,s6355,s5102,s6304,s5370,s2507,s1688]) ).

cnf(s10011,plain,
    ( ~ spl0_383
    | ~ spl0_303
    | spl0_315
    | spl0_327
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6283,s3579,s2944,s7381,s5950,s5102,s4023,s1653,s6659,s83,s10001,s3021,s6957,s10009,s9996,s9843]) ).

cnf(s10012,plain,
    ( spl0_383
    | spl0_195
    | spl0_315
    | ~ spl0_309
    | ~ spl0_32
    | spl0_392
    | spl0_401
    | ~ spl0_365 ),
    inference(rat,[],[s5708,s1798,s7381,s5845,s8493,s3060,s1724,s6962,s9257]) ).

cnf(s10013,plain,
    ( spl0_315
    | ~ spl0_309
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2651,s7506,s2944,s6955,s5950,s10011,s4023,s10012,s1910,s5642,s10010,s6962,s2202,s9988,s5127,s10005,s1653,s3011,s6659,s10,s255,s83,s10001,s3021,s6957,s10009,s9996,s2106,s9967,s9843,s9256,s9842]) ).

cnf(s10014,plain,
    ( ~ spl0_309
    | ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6468,s9477,s681,s2651,s5329,s2682,s2944,s3149,s5370,s9854,s67,s1688,s2002,s1872,s6120,s10013,s2106,s5524,s9967,s9988,s5127,s10005,s1653,s3496,s3011,s10,s255,s83,s10001,s3021,s6957,s10009,s9996,s9257,s9843,s9256,s9842]) ).

cnf(s10015,plain,
    ( ~ spl0_1
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s5516,s3511,s7381,s1872,s4726,s6120,s9851,s1208,s10014,s6659,s83,s3011,s10001,s1653,s3021,s6957,s10009,s9988,s9996,s9257]) ).

cnf(s10016,plain,
    ( spl0_38
    | ~ spl0_309
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323
    | spl0_31
    | ~ spl0_306 ),
    inference(rat,[],[s7243,s2420,s2827,s3041,s3453,s2012,s5636,s2524]) ).

cnf(s10017,plain,
    ( spl0_370
    | ~ spl0_309
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s8362,s6101,s8365,s6955,s6976,s2766,s4017,s8394,s5127,s10005,s6398,s1,s2944,s2106,s6957,s10008,s10016,s8034,s10015,s9996,s9988,s9967,s9843]) ).

cnf(s10018,plain,
    ( ~ spl0_303
    | spl0_315
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s3966,s3332,s2024,s171,s3127,s4499,s4165,s7334,s6031,s7316,s8385,s6119,s131,s8234,s7214,s5312,s7380,s5141,s2294,s2675,s7381,s2002,s5077,s6461,s7826,s3577,s9571,s6659,s6034,s3599,s2900,s6283,s3585,s5847,s2944,s7304,s2106,s1653,s6919,s7788,s10016,s6961,s9851,s8034,s10015,s9996,s9988,s9967,s6962,s5127,s10005,s9842,s9843,s9257]) ).

cnf(s10019,plain,
    ( spl0_315
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s6400,s2680,s6101,s7506,s6955,s10018,s6957,s10008,s10016,s6961,s9851,s6962,s9967,s9988,s9996,s5127,s10005,s8034,s10015]) ).

cnf(s10020,plain,
    ( ~ spl0_309
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1212,s5631,s5617,s5754,s9571,s67,s2002,s6120,s1653,s3021,s6957,s3496,s10008,s3011,s10017,s10016,s9967,s9988,s9996,s10005,s15,s8034,s10015,s10019,s9257]) ).

cnf(s10021,plain,
    ( spl0_38
    | ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7321,s6099,s6062,s10004,s5785,s2029,s8394,s1212,s5168,s4146,s6446,s6659,s203,s2423,s7383,s1727,s9967,s9988,s10005,s2944,s7304,s8034,s10015,s9996,s10019,s10020,s9259,s9842]) ).

cnf(s10022,plain,
    ( ~ spl0_302
    | ~ spl0_315
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_323
    | spl0_31
    | ~ spl0_306 ),
    inference(rat,[],[s1996,s6062,s9943]) ).

cnf(s10023,plain,
    ( ~ spl0_323
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1212,s5631,s6446,s5754,s9571,s67,s6461,s2294,s1798,s8357,s7381,s4726,s6120,s1653,s3021,s6957,s10022,s3496,s3011,s10021,s1208,s10020,s10019,s7304,s8034,s15,s10015,s10005,s9996,s9967,s9988,s9257,s9843]) ).

cnf(s10024,plain,
    ( ~ spl0_383
    | spl0_195
    | ~ spl0_1
    | spl0_593
    | spl0_493
    | spl0_323
    | ~ spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s5942,s67,s5321,s6181,s5077,s2275,s3483,s5805,s4868,s7380,s4256,s7382,s5950,s5040,s4023,s1831,s2151,s5225,s9257,s9842,s9843]) ).

cnf(s10025,plain,
    ( ~ spl0_1
    | spl0_323
    | spl0_31
    | ~ spl0_306
    | ~ spl0_192 ),
    inference(rat,[],[s6198,s4228,s7380,s2079,s2087,s9198,s3060,s10024,s1910,s9986,s10,s255,s6659,s83,s2151,s3204,s2524,s2718,s5731,s3011,s1241,s9842,s9257,s9256]) ).

cnf(s10026,plain,
    ( ~ spl0_302
    | spl0_315
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s2002,s9571,s5120,s5785,s6919,s9861,s1997,s2645,s5524,s8653,s10025,s3587,s6962,s3011,s1241,s10023,s9967,s6961,s9851,s9988,s9842]) ).

cnf(s10027,plain,
    ( spl0_99
    | spl0_315
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9578,s8077,s131,s5984,s15,s8224,s1688,s2678,s5225,s1653,s10,s7763,s5672,s6446,s6468,s681,s2509,s7576,s9861,s5617,s5168,s5321,s5942,s67,s8034,s9572,s5127,s9137,s2106,s1241,s6181,s7382,s3755,s3483,s7380,s5409,s9571,s5077,s4072,s6400,s6101,s6957,s10026,s6955,s3734,s3204,s6962,s2151,s2524,s6961,s9851,s8653,s10025,s10023,s9988,s9967,s5524,s9842,s9257,s9843,s9256]) ).

cnf(s10028,plain,
    ( spl0_315
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7494,s3118,s175,s1765,s2330,s5296,s171,s369,s7364,s3731,s10027,s10,s7763,s9861,s5617,s6446,s2678,s5168,s5321,s5942,s6181,s5845,s9571,s67,s7382,s7383,s5077,s3755,s3483,s4072,s7380,s9572,s6400,s5409,s5127,s6101,s9137,s6957,s10026,s6955,s3734,s2106,s6961,s9851,s6962,s5524,s2151,s5225,s1241,s3204,s2524,s5672,s8034,s8653,s10025,s10023,s9988,s9967,s9257,s9843,s9842]) ).

cnf(s10029,plain,
    ( ~ spl0_309
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s4269,s5310,s7334,s171,s319,s3273,s5979,s2632,s4935,s6969,s6872,s6221,s7380,s3000,s5805,s2294,s3618,s5077,s6461,s9571,s2633,s1946,s5785,s8509,s6957,s9861,s7353,s6101,s1997,s1996,s6955,s6889,s3734,s5524,s2151,s3204,s2524,s8034,s8653,s10025,s8362,s5127,s2721,s10028,s1241,s9967,s9988,s5225,s10023,s9842,s9843]) ).

cnf(s10030,plain,
    ( spl0_20
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s7383,s2294,s2423,s6461,s203,s9571,s6659,s10025,s10023,s9988,s9967,s10029,s9843,s9259]) ).

cnf(s10031,plain,
    ( ~ spl0_320
    | ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s9861,s5785,s1997,s5524,s8653,s10025,s10023,s9988,s9967,s10030,s9842]) ).

cnf(s10032,plain,
    ( ~ spl0_192
    | ~ spl0_365 ),
    inference(rat,[],[s1212,s6446,s5631,s3555,s5754,s4131,s67,s3271,s5077,s6120,s4486,s1653,s6956,s7601,s5739,s6101,s6957,s6062,s10031,s10030,s8362,s5127,s2721,s10028,s8034,s15,s10025,s3496,s3011,s1241,s5225,s2151,s10023,s9988,s9967,s9843,s9257]) ).

cnf(s10033,plain,
    ( ~ spl0_32
    | spl0_306
    | ~ spl0_323
    | ~ spl0_341
    | ~ spl0_31
    | spl0_8 ),
    inference(rat,[],[s4863,s3003,s37,s3663,s6448,s4,s3920,s8,s4860,s2651,s1353,s6507,s5701,s203,s9973,s4828,s5176,s6957,s3065,s7337,s9257,s9259]) ).

cnf(s10034,plain,
    ( ~ spl0_309
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_23
    | spl0_11
    | ~ spl0_421
    | ~ spl0_323
    | ~ spl0_1 ),
    inference(rat,[],[s1831,s6259,s5520,s2952,s10,s9086,s5803,s2154,s1690,s2900,s5461,s4954,s6855,s7380,s5050,s9585,s3276,s5644,s8193,s4828,s7383,s6235,s83,s9843,s9257,s9842]) ).

cnf(s10035,plain,
    ( spl0_306
    | ~ spl0_323
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s1208,s10034,s6691,s7383,s6235,s83,s6659,s10033,s6957,s5018,s3065,s5176,s7337,s4385,s9973,s4395,s3547,s10032,s9842]) ).

cnf(s10036,plain,
    ( ~ spl0_302
    | spl0_11
    | ~ spl0_309
    | ~ spl0_306
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6550,s4750,s8180,s9974,s5127,s9968,s2645,s3718,s10032,s4828]) ).

cnf(s10037,plain,
    ( spl0_11
    | ~ spl0_309
    | ~ spl0_306
    | ~ spl0_323
    | ~ spl0_429
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s2680,s9976,s4191,s6956,s5017,s6101,s6957,s10036,s5409,s7380,s5050,s5077,s4828,s5018,s3547,s10032,s9843]) ).

cnf(s10040,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | ~ spl0_10
    | spl0_4
    | spl0_206
    | ~ spl0_14
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s1831,s6259,s5370,s8212,s1688,s4435,s4766,s4708,s5950,s9843]) ).

cnf(s10041,plain,
    ( ~ spl0_364
    | spl0_383
    | ~ spl0_442
    | ~ spl0_345
    | ~ spl0_201
    | spl0_99
    | ~ spl0_14
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s3003,s7846,s6959,s5520,s2674,s1870,s3584,s6232,s7381,s8180,s10032,s1872,s6963,s5370,s9842]) ).

cnf(s10042,plain,
    ( ~ spl0_309
    | spl0_20
    | ~ spl0_323
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s3576,s5708,s7380,s1798,s10041,s5845,s3060,s1831,s6200,s7381,s8180,s5847,s5127,s10040,s7190,s4301,s2935,s2296,s7797,s6791,s4221,s10037,s10032,s9973,s6962,s10035,s6659,s10,s255,s9257,s9843,s9256]) ).

cnf(s10043,plain,
    ( spl0_20
    | ~ spl0_323
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6553,s5143,s4476,s9602,s4828,s7868,s4326,s5642,s6963,s5370,s1724,s2693,s2219,s5127,s3587,s3584,s1798,s7789,s1649,s2423,s1208,s10042,s6507,s10,s203,s255,s6659,s10032,s9973,s6962,s10035,s9842,s9257,s9259,s9256]) ).

cnf(s10044,plain,
    ( spl0_11
    | ~ spl0_323
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6691,s7383,s1208,s6235,s10037,s5018,s6962,s10035,s83,s10043,s9973,s9842]) ).

cnf(s10045,plain,
    ( ~ spl0_196
    | ~ spl0_201
    | spl0_4
    | spl0_206
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s1982,s10,s4435,s4766,s10040,s4708,s37,s5950]) ).

cnf(s10046,plain,
    ( ~ spl0_13
    | ~ spl0_368
    | ~ spl0_201
    | ~ spl0_11
    | ~ spl0_20
    | ~ spl0_31 ),
    inference(rat,[],[s5615,s2036,s6664,s6921,s9973,s37,s2296,s9842,s9256]) ).

cnf(s10047,plain,
    ( ~ spl0_323
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s5708,s4397,s3576,s2223,s7380,s67,s10041,s5644,s10,s6961,s10046,s1831,s6200,s4195,s7381,s3584,s8180,s5847,s5127,s10045,s7190,s2935,s2296,s7797,s6791,s4221,s10044,s83,s10043,s10035,s10032,s9973,s6032,s9843,s9256]) ).

cnf(s10048,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | ~ spl0_346
    | spl0_11
    | spl0_323
    | ~ spl0_1 ),
    inference(rat,[],[s1653,s5126,s5144,s5503,s2766]) ).

cnf(s10049,plain,
    ( ~ spl0_301
    | ~ spl0_32
    | spl0_306
    | spl0_11
    | spl0_323
    | ~ spl0_341
    | ~ spl0_429
    | ~ spl0_1 ),
    inference(rat,[],[s3003,s6959,s6306,s3665,s6448,s10048,s6956,s5014,s2151,s2256,s1353,s6507,s203,s9257,s9259]) ).

cnf(s10050,plain,
    ( ~ spl0_32
    | spl0_306
    | ~ spl0_23
    | spl0_11
    | spl0_323
    | ~ spl0_341
    | ~ spl0_429
    | ~ spl0_1 ),
    inference(rat,[],[s7243,s10048,s4820,s1649,s1208,s2002,s9981,s6957,s10049,s1353,s6507,s203,s9257,s9259]) ).

cnf(s10051,plain,
    ( ~ spl0_4
    | spl0_306
    | ~ spl0_23
    | spl0_11
    | spl0_323
    | ~ spl0_341
    | spl0_315
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s3497,s6403,s7316,s7351,s1226,s2722,s6641,s2385,s2282,s319,s5616,s6327,s6969,s7389,s3002,s2488,s186,s131,s8240,s3577,s7381,s5785,s5850,s2675,s5805,s8045,s6963,s7382,s7380,s8275,s5143,s5520,s10,s1724,s1690,s1924,s2693,s5736,s2219,s10048,s469,s6448,s2151,s5225,s8193,s5297,s5644,s6956,s5014,s6957,s8867,s2002,s6961,s6691,s7383,s6235,s83,s6659,s10050,s10032,s6962,s9843,s9842,s9256,s9257]) ).

cnf(s10052,plain,
    ( spl0_306
    | spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s7391,s3432,s5461,s5982,s5289,s6855,s6747,s6181,s7380,s7382,s2675,s9873,s7381,s3577,s3599,s681,s2503,s4506,s37,s10051,s6956,s5014,s6957,s8867,s8193,s2002,s6961,s6691,s7383,s6235,s83,s6659,s10050,s7337,s9973,s6962,s4395,s3547,s10032,s5225,s10047,s5018,s9257,s9842,s9843]) ).

cnf(s10053,plain,
    ( spl0_9
    | ~ spl0_14
    | ~ spl0_364
    | spl0_323
    | ~ spl0_1 ),
    inference(rat,[],[s5520,s1690,s2693,s5736,s9842]) ).

cnf(s10054,plain,
    ( spl0_319
    | ~ spl0_368
    | ~ spl0_14
    | spl0_466
    | spl0_11
    | spl0_323
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s539,s9085,s4644,s6960,s3199,s6963,s9984,s5126,s5141,s6956,s6101,s6957,s8867,s10032,s5409,s7380,s5805,s2151,s9843,s9842]) ).

cnf(s10055,plain,
    ( spl0_11
    | spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s1905,s3584,s2219,s7789,s1649,s1208,s2002,s10054,s7381,s9065,s10053,s6507,s10,s203,s7380,s255,s6659,s5805,s83,s5077,s5661,s10052,s5018,s10032,s9973,s2151,s10047,s9257,s9259,s9256,s9842]) ).

cnf(s10058,plain,
    ( spl0_20
    | spl0_383
    | ~ spl0_609
    | ~ spl0_201
    | spl0_4
    | spl0_323
    | spl0_315
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s6218,s7382,s6956,s5143,s5026,s3003,s6957,s6402,s8914,s8867,s1872,s6963,s5370,s10,s255,s6659,s10032,s2151,s1724,s9256]) ).

cnf(s10059,plain,
    ( spl0_315
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6218,s7382,s6956,s5143,s6101,s3003,s6957,s8914,s8867,s1872,s6963,s5370,s10,s10046,s10058,s1724,s8370,s1831,s6200,s6232,s7381,s8180,s5127,s10045,s7190,s6182,s2296,s4221,s10055,s2151,s10047,s10032,s9973,s9843,s9842,s9256]) ).

cnf(s10060,plain,
    ( spl0_306
    | spl0_20
    | spl0_11
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s1796,s3059,s6235,s7380,s2721,s5050,s5126,s3003,s5642,s3663,s6963,s4,s5370,s8,s2693,s2651,s1353,s5701,s4385,s10032,s9973,s10059,s5018,s4828,s10,s255,s6507,s203,s6659,s9842,s9843,s9257,s9259,s9256]) ).

cnf(s10061,plain,
    ( spl0_38
    | ~ spl0_303
    | ~ spl0_306
    | ~ spl0_58
    | ~ spl0_360
    | ~ spl0_23
    | spl0_11
    | ~ spl0_365 ),
    inference(rat,[],[s2423,s7383,s9976,s6235,s9842]) ).

cnf(s10062,plain,
    ( spl0_20
    | spl0_11
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s4228,s3060,s2718,s1831,s5221,s6200,s5619,s7381,s1653,s8180,s6198,s5126,s5127,s2680,s2721,s10061,s6956,s6101,s5409,s7380,s6957,s5050,s3618,s5077,s10060,s203,s6659,s10032,s9973,s10059,s5018,s4828,s9257,s9842,s9843,s9259]) ).

cnf(s10063,plain,
    ( ~ spl0_206
    | spl0_306
    | spl0_11
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s9423,s6957,s6956,s5803,s1202,s5037,s3808,s5434,s5107,s5449,s7382,s2651,s6259,s6747,s2682,s1831,s5428,s5370,s539,s10,s8212,s1982,s1688,s3841,s5126,s4828,s7383,s6235,s83,s6964,s2295,s5579,s10062,s10059,s5018,s9973,s7337,s9257,s9259,s9843,s9842]) ).

cnf(s10064,plain,
    ( ~ spl0_196
    | spl0_206
    | spl0_198
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s6550,s6200,s9252,s1831,s5428,s5370,s539,s10,s8212,s1982,s1688,s3841,s2295,s7383,s6235,s83,s1653,s9843,s9842]) ).

cnf(s10065,plain,
    ( spl0_196
    | spl0_200
    | spl0_377
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s5573,s6963,s5999,s3115,s7663,s7381,s4397,s3584,s8180,s5847,s5127,s10032,s10059,s6964,s9257]) ).

cnf(s10066,plain,
    ( spl0_11
    | ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6105,s6957,s6453,s3618,s10,s10063,s1982,s1688,s10064,s3841,s10065,s2295,s6235,s5579,s83,s10062,s4828,s5018,s9973,s10059,s9842]) ).

cnf(s10067,plain,
    ( spl0_20
    | spl0_383
    | ~ spl0_442
    | ~ spl0_345
    | ~ spl0_201
    | ~ spl0_418
    | spl0_4
    | spl0_99
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s5708,s2586,s1649,s2510,s6402,s3576,s1872,s7380,s6963,s10041,s5370,s6507,s10,s203,s255,s6659,s7381,s8180,s10032,s1724,s9257,s9259,s9256]) ).

cnf(s10068,plain,
    ( ~ spl0_323
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s7663,s5573,s5900,s10067,s1831,s6200,s7381,s3584,s8180,s5847,s5127,s4144,s10045,s37,s6113,s1653,s2935,s2296,s7797,s6791,s5176,s10066,s10032,s9973,s10059,s9843,s9256]) ).

cnf(s10069,plain,
    ( ~ spl0_100
    | ~ spl0_513
    | ~ spl0_527
    | ~ spl0_361
    | ~ spl0_309
    | spl0_38
    | ~ spl0_196
    | ~ spl0_23 ),
    inference(rat,[],[s3081,s4543,s3117,s7316,s171,s5424,s2278,s9842]) ).

cnf(s10070,plain,
    ( spl0_83
    | spl0_274
    | ~ spl0_90
    | ~ spl0_99
    | ~ spl0_527
    | ~ spl0_7
    | ~ spl0_198
    | ~ spl0_32
    | ~ spl0_31 ),
    inference(rat,[],[s6063,s2396,s3667,s3117,s6268,s171]) ).

cnf(s10071,plain,
    ( ~ spl0_196
    | spl0_306
    | ~ spl0_32
    | spl0_11
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s2024,s4192,s2722,s6036,s7316,s3782,s4856,s10070,s7389,s2488,s186,s131,s10069,s5707,s5357,s5892,s4,s6955,s8,s10048,s2219,s2295,s2064,s1690,s6957,s2087,s8867,s5850,s7380,s2002,s7382,s3059,s2423,s2492,s7383,s6235,s2721,s4385,s10032,s9973,s10059,s2151,s10068,s5018,s7337,s2256,s1353,s6507,s203,s9842,s9843,s9257,s9259]) ).

cnf(s10072,plain,
    ( spl0_306
    | spl0_20
    | spl0_11
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s8221,s2651,s6468,s5642,s681,s6963,s2510,s2586,s5370,s1724,s4070,s1831,s6200,s7381,s1653,s8180,s5126,s5127,s10071,s1353,s10032,s9973,s5018,s10,s255,s6507,s203,s6659,s9257,s9843,s9259,s9256]) ).

cnf(s10073,plain,
    ( spl0_20
    | spl0_11
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s5370,s1872,s1831,s10054,s6200,s7381,s8180,s5126,s5127,s2721,s5077,s5661,s10072,s10,s255,s10032,s9973,s10059,s10068,s5018,s9843,s9256]) ).

cnf(s10074,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6553,s5850,s6747,s1831,s5428,s5370,s539,s10,s8212,s1982,s1688,s3841,s10065,s7383,s7337,s2295,s6235,s5661,s5579,s83,s10073,s5018,s9973,s10059,s10068,s9843,s9842]) ).

cnf(s10075,plain,
    ( ~ spl0_196
    | ~ spl0_466
    | spl0_416
    | ~ spl0_14
    | ~ spl0_10
    | ~ spl0_1 ),
    inference(rat,[],[s3072,s681,s6963,s3665,s6105,s6957,s3276,s3863,s1690,s3003]) ).

cnf(s10076,plain,
    ( spl0_306
    | spl0_20
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s2064,s6957,s6402,s8867,s1872,s6963,s5370,s1831,s6200,s7381,s1653,s8180,s9196,s5127,s10075,s1690,s3003,s6306,s1353,s2256,s10032,s9973,s2151,s10068,s37,s2296,s10074,s10,s255,s6507,s203,s6659,s9843,s9257,s9259,s9256]) ).

cnf(s10077,plain,
    ( ~ spl0_313
    | spl0_200
    | ~ spl0_14
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s1831,s6259,s5370,s8212,s9973,s2296,s10074,s9843,s9256]) ).

cnf(s10078,plain,
    ( spl0_386
    | spl0_346
    | ~ spl0_301
    | ~ spl0_443
    | ~ spl0_206
    | spl0_4
    | spl0_323
    | spl0_192 ),
    inference(rat,[],[s6117,s5220,s3502,s2952,s7382,s6259,s5850,s9843]) ).

cnf(s10079,plain,
    ( spl0_200
    | ~ spl0_206
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s3581,s8126,s7351,s5691,s142,s3578,s7381,s2675,s7380,s5520,s1831,s10078,s1690,s2611,s6956,s7764,s6960,s9685,s6957,s8867,s2803,s3841,s1872,s6963,s10077,s6964,s10032,s2151,s5225,s6173,s10068,s4453,s37,s2296,s2960,s131,s6794,s10074,s9973,s9256,s9843]) ).

cnf(s10080,plain,
    ( ~ spl0_200
    | spl0_224
    | ~ spl0_14
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s5370,s3072,s8907,s681,s5950,s2296,s10074,s9973,s9842,s9256]) ).

cnf(s10081,plain,
    ( ~ spl0_196
    | ~ spl0_14
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s10045,s1653,s10079,s10080,s3863,s9973,s37,s2296,s10074,s9256]) ).

cnf(s10082,plain,
    ( spl0_20
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s6553,s6058,s6956,s5143,s2586,s6101,s3003,s2510,s6957,s8914,s6402,s8867,s1872,s6963,s5370,s1724,s8370,s1831,s6200,s7381,s1653,s8180,s9196,s5127,s10081,s10076,s10,s255,s6659,s10032,s9973,s10068,s2296,s10074,s9257,s9843,s9256]) ).

cnf(s10083,plain,
    ( ~ spl0_196
    | ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s10045,s1653,s6822,s6921,s10,s10081,s9973,s37,s2296,s10074,s10082,s9842,s9256]) ).

cnf(s10084,plain,
    ( ~ spl0_31
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s7663,s5573,s5900,s4144,s6113,s3584,s9196,s5127,s10083,s10082,s37,s2296,s10074,s10059,s10032,s9256]) ).

cnf(s10086,plain,
    ( ~ spl0_315
    | ~ spl0_309
    | spl0_65
    | ~ spl0_196
    | ~ spl0_58
    | spl0_31 ),
    inference(rat,[],[s6506,s67,s72,s3780,s2721,s2524]) ).

cnf(s10088,plain,
    ( spl0_200
    | spl0_65
    | ~ spl0_196
    | ~ spl0_1
    | ~ spl0_32
    | ~ spl0_365 ),
    inference(rat,[],[s7663,s3587,s1688,s5226,s4644,s1831,s539,s3060,s3115,s5845,s5312,s7383,s5708,s7381,s3579,s6962,s10086,s1649,s6034,s6964,s2202,s10084,s6507,s203,s9843,s9257,s9259,s9842]) ).

cnf(s10090,plain,
    ( ~ spl0_302
    | ~ spl0_360
    | spl0_383
    | ~ spl0_198
    | ~ spl0_196
    | ~ spl0_14 ),
    inference(rat,[],[s6552,s5520,s5050,s1690,s3276,s2828,s9843]) ).

cnf(s10091,plain,
    ( spl0_315
    | ~ spl0_301
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_370
    | spl0_505
    | ~ spl0_381
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(rat,[],[s5207,s3587,s7382,s7789,s5143,s1208,s2104,s2106,s9572,s1727,s1798,s5845,s6962,s2202,s10084,s9842]) ).

cnf(s10092,plain,
    ( ~ spl0_315
    | spl0_65
    | ~ spl0_196
    | ~ spl0_58
    | ~ spl0_365 ),
    inference(rat,[],[s1796,s2423,s1727,s10086,s2721,s10084,s9842]) ).

cnf(s10093,plain,
    ( ~ spl0_323
    | ~ spl0_42
    | spl0_315
    | ~ spl0_4
    | spl0_505
    | spl0_383
    | ~ spl0_198
    | spl0_11
    | ~ spl0_196
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(rat,[],[s7321,s10091,s10090,s9606,s4828,s1724,s6963,s5370,s6962]) ).

cnf(s10094,plain,
    ( spl0_11
    | ~ spl0_206
    | ~ spl0_196
    | ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s3199,s6956,s1353,s5014,s3904,s6957,s7380,s8867,s10053,s3204,s10093,s1798,s5845,s5297,s6962,s10092,s37,s3863,s3072,s1872,s6963,s3060,s5370,s2693,s2219,s2295,s681,s10088,s76,s4409,s10032,s2524,s10084,s10,s255,s6507,s203,s6659,s9257,s9842,s9259,s9256]) ).

cnf(s10095,plain,
    ( ~ spl0_313
    | spl0_4
    | spl0_200
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_365 ),
    inference(rat,[],[s1831,s6259,s5370,s8212,s9843]) ).

cnf(s10096,plain,
    ( ~ spl0_368
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_440
    | ~ spl0_443
    | ~ spl0_196
    | ~ spl0_1
    | ~ spl0_32
    | spl0_401 ),
    inference(rat,[],[s3115,s539,s5312,s4644,s5708,s9257]) ).

cnf(s10097,plain,
    ( spl0_200
    | ~ spl0_206
    | ~ spl0_196
    | ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s1831,s6259,s3195,s3115,s8178,s5312,s1727,s2721,s3579,s7381,s10096,s6963,s10095,s1649,s2827,s6034,s6964,s2202,s10084,s10,s255,s6507,s203,s6659,s10094,s9843,s9257,s9842,s9259,s9256]) ).

cnf(s10098,plain,
    ( ~ spl0_323
    | ~ spl0_4
    | spl0_201
    | ~ spl0_11
    | ~ spl0_206 ),
    inference(rat,[],[s6593,s9943,s3021]) ).

cnf(s10099,plain,
    ( ~ spl0_206
    | ~ spl0_196
    | ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s3199,s6956,s1353,s5014,s3904,s6957,s7380,s8867,s10053,s3204,s10098,s1798,s5845,s6962,s2721,s458,s2927,s1948,s8509,s37,s3863,s2681,s3072,s1872,s6963,s3060,s5370,s2693,s2219,s681,s10097,s10094,s10032,s2524,s10084,s6507,s203,s6393,s10,s255,s6659,s9257,s9842,s9256,s9259]) ).

cnf(s10100,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5370,s1688,s1831,s10096,s6200,s7381,s3579,s2721,s5628,s1649,s6034,s6964,s2524,s2202,s10084,s10,s255,s6507,s203,s6659,s10099,s9843,s9257,s9259,s9256,s9842]) ).

cnf(s10101,plain,
    ( ~ spl0_196
    | ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s7407,s5370,s5642,s2693,s2219,s10100,s10099,s10,s255,s9842,s9256]) ).

cnf(s10102,plain,
    ( ~ spl0_1
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5708,s1798,s6961,s5845,s7789,s6120,s1872,s6963,s3060,s5370,s1831,s6200,s7381,s1653,s3584,s8180,s9196,s5127,s10101,s10032,s2202,s10084,s6659,s10,s255,s9257,s9843,s9256,s9842]) ).

cnf(s10103,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_570
    | ~ spl0_11
    | ~ spl0_4
    | spl0_20
    | spl0_31 ),
    inference(rat,[],[s9545,s7353]) ).

cnf(s10104,plain,
    ( spl0_206
    | ~ spl0_196
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5226,s4070,s3587,s1798,s7789,s6962,s2423,s1208,s3595,s5741,s4708,s1653,s2524,s203,s6659,s6461,s9571,s10102,s10084,s9843,s9259]) ).

cnf(s10108,plain,
    ( ~ spl0_315
    | ~ spl0_196
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s1796,s2423,s1727,s3780,s2721,s2524,s10084,s203,s6659,s9571,s10102,s9842,s9259]) ).

cnf(s10109,plain,
    ( spl0_306
    | ~ spl0_301
    | ~ spl0_429
    | spl0_323
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_23
    | ~ spl0_11
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_32
    | spl0_31 ),
    inference(rat,[],[s6553,s4249,s5850,s5843,s4685,s7380,s9028,s2680,s458,s7146,s2279,s1690,s8777,s6283,s6956,s5014,s1353,s2256,s7337,s6507,s203,s5225,s9843,s9257,s9259]) ).

cnf(s10110,plain,
    ( ~ spl0_309
    | ~ spl0_196
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5004,s7006,s6955,s4072,s3585,s5077,s10109,s6957,s8867,s2002,s10032,s6393,s6659,s9571,s2151,s3204,s7671,s10104,s10103,s6139,s8034,s8653,s15,s10102,s10,s255,s2524,s10084,s6962,s10108,s9256]) ).

cnf(s10111,plain,
    ( ~ spl0_196
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5226,s4070,s3587,s1798,s7789,s2423,s1208,s10110,s6962,s10108,s10084,s203,s6659,s9571,s10102,s9843,s9259]) ).

cnf(s10112,plain,
    ( ~ spl0_323
    | ~ spl0_195
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s7846,s5077,s8143,s3059,s8875,s7382,s7380,s2150,s2678,s7304,s2944,s1870,s8034,s8653,s5847,s3584,s6232,s8365,s2631,s538,s3060,s5845,s6120,s2002,s2423,s203,s10084,s1653,s7383,s4070,s6200,s7381,s8180,s5127,s9196,s10111,s10032,s9571,s10102,s6659,s9257,s9843,s9259,s9842]) ).

cnf(s10113,plain,
    ( ~ spl0_195
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s6552,s2678,s3059,s1353,s6889,s3204,s10112,s2524,s6507,s1997,s8370,s8365,s3060,s5845,s6120,s2002,s2423,s203,s10084,s1653,s7383,s4070,s6200,s7381,s8180,s5127,s9196,s10111,s10032,s9571,s6659,s10102,s9843,s9257,s9259]) ).

cnf(s10114,plain,
    ( spl0_200
    | spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s5312,s3115,s6034,s6964,s6659,s4070,s6200,s7381,s8180,s5127,s9196,s10111,s10032,s9571,s10102,s10113,s9257,s9843]) ).

cnf(s10115,plain,
    ( ~ spl0_323
    | ~ spl0_224
    | ~ spl0_200
    | spl0_607
    | spl0_327
    | ~ spl0_11
    | ~ spl0_4 ),
    inference(rat,[],[s6101,s6957,s6955,s3923,s2766,s7304,s2944]) ).

cnf(s10116,plain,
    ( spl0_20
    | ~ spl0_365 ),
    inference(rat,[],[s10109,s6957,s6889,s8867,s3204,s10115,s7145,s681,s10114,s6962,s6120,s2002,s2423,s7383,s4070,s8370,s6200,s8583,s7381,s1997,s1653,s8180,s7147,s9196,s5127,s10111,s6139,s9571,s8653,s8034,s10102,s6393,s10,s203,s255,s6659,s10032,s2524,s10084,s9843,s9259,s9256]) ).

cnf(s10117,plain,
    ( ~ spl0_313
    | ~ spl0_368
    | ~ spl0_309
    | ~ spl0_429
    | ~ spl0_14
    | spl0_200
    | ~ spl0_365 ),
    inference(rat,[],[s5982,s3587,s5370,s7663,s10116]) ).

cnf(s10118,plain,
    ( spl0_315
    | ~ spl0_14
    | spl0_346
    | spl0_11
    | ~ spl0_1
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8251,s5982,s5220,s9750,s2952,s539,s4644,s1872,s6963,s10117,s7381,s6961,s3577,s6691,s6962,s6964,s3599,s7383,s1727,s83,s10116,s10084,s6960,s9842,s9257]) ).

cnf(s10119,plain,
    ( spl0_370
    | spl0_11
    | ~ spl0_323
    | ~ spl0_1
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6855,s7380,s7337,s5050,s4961,s3717,s3276,s6957,s2977,s5011,s8619,s5449,s3713,s1831,s10095,s5370,s1688,s2524,s6964,s7383,s1727,s2651,s44,s72,s76,s4409,s10032,s83,s10,s6843,s4828,s2353,s10116,s10084,s9843,s9842,s9257]) ).

cnf(s10121,plain,
    ( ~ spl0_4
    | ~ spl0_198
    | spl0_320
    | ~ spl0_315
    | ~ spl0_42
    | spl0_346
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_443
    | ~ spl0_560 ),
    inference(rat,[],[s5803,s2832,s2828,s6062,s6957,s5017,s3713,s9257]) ).

cnf(s10122,plain,
    ( spl0_306
    | ~ spl0_28
    | ~ spl0_206
    | spl0_314
    | ~ spl0_360
    | ~ spl0_323
    | ~ spl0_393
    | ~ spl0_9
    | ~ spl0_196
    | ~ spl0_37 ),
    inference(rat,[],[s6552,s7768,s5050,s3276,s6957,s1204,s7337,s2651,s9843]) ).

cnf(s10123,plain,
    ( spl0_386
    | spl0_4
    | ~ spl0_393
    | spl0_200
    | ~ spl0_365 ),
    inference(rat,[],[s7265,s9750,s6259,s5226,s10084,s9843]) ).

cnf(s10124,plain,
    ( spl0_11
    | ~ spl0_323
    | ~ spl0_1
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6552,s5520,s4685,s1831,s10123,s1690,s6446,s10122,s4146,s37,s10121,s22,s1653,s5579,s6120,s3841,s5785,s1872,s10119,s10118,s10,s5434,s44,s6843,s2651,s72,s4828,s76,s4409,s3547,s10032,s2524,s6964,s2353,s7383,s1727,s83,s10116,s10084,s9257,s9842]) ).

cnf(s10125,plain,
    ( spl0_370
    | ~ spl0_11
    | ~ spl0_1
    | spl0_200
    | ~ spl0_365 ),
    inference(rat,[],[s8619,s2827,s1831,s10095,s5370,s10,s1982,s1688,s10084,s83,s10116,s9842,s9843]) ).

cnf(s10126,plain,
    ( ~ spl0_309
    | ~ spl0_370
    | ~ spl0_11
    | spl0_38
    | spl0_200
    | ~ spl0_365 ),
    inference(rat,[],[s37,s4146,s2827,s5617,s5628,s2524,s10084,s10116]) ).

cnf(s10127,plain,
    ( ~ spl0_323
    | ~ spl0_1
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s7390,s6327,s3340,s1299,s9750,s3986,s165,s2803,s2952,s160,s159,s2960,s8005,s3984,s22,s8936,s2029,s7366,s1653,s53,s5579,s6120,s2422,s6691,s1208,s10126,s3841,s1872,s10125,s10124,s2353,s7383,s1727,s83,s10116,s10084,s9843,s9259,s9842]) ).

cnf(s10128,plain,
    ( ~ spl0_1
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s9085,s6960,s539,s3199,s4644,s6956,s6963,s7381,s5892,s3414,s8178,s5357,s2510,s3195,s1724,s1831,s8252,s1241,s10127,s7383,s1727,s83,s10084,s10116,s6964,s9843,s9257,s9842]) ).

cnf(s10129,plain,
    ( spl0_370
    | ~ spl0_323
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8167,s6962,s6446,s10022,s2140,s5405,s3166,s67,s6847,s6231,s4263,s5281,s6543,s4972,s4237,s131,s4961,s8143,s8875,s3276,s7380,s6957,s2678,s3622,s8365,s7382,s6976,s2150,s8212,s7663,s4017,s9495,s1688,s1870,s10032,s2524,s10084,s10116,s6964,s6398,s1,s7304,s2944,s8034,s8653,s10128,s9843]) ).

cnf(s10130,plain,
    ( ~ spl0_305
    | ~ spl0_363
    | ~ spl0_421
    | spl0_315
    | ~ spl0_370
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s5805,s2564,s3276,s5999,s6957,s5242,s6724,s7789,s6964,s8034,s8653,s10128,s7381,s3577,s3599,s9842,s9257]) ).

cnf(s10131,plain,
    ( spl0_306
    | spl0_315
    | ~ spl0_323
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s7321,s6099,s5836,s8129,s7382,s8130,s8767,s6956,s67,s7525,s6461,s5168,s7383,s5741,s5617,s5708,s6961,s10130,s7380,s8875,s2669,s7649,s7337,s1870,s10032,s2202,s10084,s10116,s6964,s7353,s7304,s2944,s8034,s8653,s10128,s6962,s4644,s7381,s3577,s3599,s10129,s9256,s9843,s9257,s9842]) ).

cnf(s10132,plain,
    ( spl0_315
    | ~ spl0_323
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6889,s6961,s6400,s7789,s5168,s8167,s6446,s10131,s6962,s6964,s1997,s2827,s10084,s2944,s2900,s7304,s8034,s8653,s10128,s10116]) ).

cnf(s10133,plain,
    ( ~ spl0_323
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s1947,s2458,s513,s7214,s1995,s274,s8234,s7358,s8156,s8357,s8178,s7381,s5999,s5327,s53,s5939,s6033,s1208,s7383,s5028,s67,s2012,s1727,s6113,s5579,s5573,s2721,s10132,s3841,s10129,s2944,s7304,s10032,s10084,s10116,s5984,s15,s2827,s8034,s8653,s10128,s9843,s9257,s9842,s9256]) ).

cnf(s10134,plain,
    ( spl0_370
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8106,s8153,s2140,s1208,s7774,s9566,s3276,s6957,s3622,s9531,s7382,s10,s7663,s9548,s1982,s1688,s10116,s1997,s2827,s8034,s8653,s10128,s10084,s2151,s10133,s9256]) ).

cnf(s10135,plain,
    ( spl0_306
    | spl0_315
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6553,s9875,s6218,s6956,s6961,s5014,s6724,s6957,s3276,s7774,s7337,s10084,s2827,s8034,s8653,s10128,s2151,s10133,s6962,s6232,s7381,s3577,s3599,s9842,s9257]) ).

cnf(s10136,plain,
    ( ~ spl0_309
    | ~ spl0_306
    | ~ spl0_429
    | ~ spl0_370
    | spl0_493
    | spl0_320
    | spl0_200
    | ~ spl0_20 ),
    inference(rat,[],[s5168,s6400,s3463,s6889,s6903,s5617]) ).

cnf(s10137,plain,
    ( spl0_315
    | spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s5521,s1724,s7380,s5981,s3483,s1798,s8167,s6691,s7789,s8106,s1208,s10136,s10135,s6962,s10116,s6964,s6398,s1,s1997,s2827,s8034,s8653,s10128,s3204,s10133,s2524,s10084,s10134,s9256]) ).

cnf(s10138,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s3806,s3334,s5433,s7380,s7382,s5707,s3071,s3195,s9912,s6356,s8178,s7381,s5999,s6957,s5327,s8153,s5939,s7337,s6033,s1208,s67,s1241,s2012,s1727,s5579,s5573,s2721,s10137,s3841,s10134,s2151,s10133,s1997,s2827,s8653,s8034,s10128,s6964,s10032,s10084,s10116,s9257,s9842]) ).

cnf(s10142,plain,
    ( ~ spl0_377
    | ~ spl0_309
    | ~ spl0_421
    | spl0_370
    | ~ spl0_429
    | ~ spl0_346
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8763,s2718,s7380,s2444,s2678,s8342,s307,s8077,s8234,s7348,s6283,s6956,s7525,s5168,s7381,s5981,s5708,s10032,s2202,s1688,s1653,s6468,s7225,s8653,s681,s8365,s6976,s4017,s6398,s1,s8034,s2353,s2219,s10138,s10116,s10084,s9843,s9842]) ).

cnf(s10143,plain,
    ( ~ spl0_363
    | spl0_306
    | spl0_370
    | ~ spl0_429
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s305,s8077,s8342,s8234,s7381,s7348,s2675,s6283,s6956,s5014,s6957,s3920,s3806,s5843,s10032,s7304,s2944,s1688,s1653,s6468,s7225,s8653,s681,s8365,s6976,s4017,s6398,s1,s8034,s2353,s2219,s10138,s10116,s10084,s9843]) ).

cnf(s10144,plain,
    ( ~ spl0_309
    | ~ spl0_360
    | ~ spl0_364
    | ~ spl0_421
    | spl0_370
    | ~ spl0_429
    | ~ spl0_346
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6855,s7383,s2680,s10142,s5628,s2524,s7225,s8653,s8034,s2353,s2219,s10138,s10116,s10084]) ).

cnf(s10145,plain,
    ( spl0_309
    | ~ spl0_383
    | spl0_315
    | ~ spl0_19
    | ~ spl0_365 ),
    inference(rat,[],[s8037,s67,s5981,s4070,s1727,s5226,s1798,s3587,s6691,s7789,s1208,s10084,s10116,s6962,s9257,s9842,s9843]) ).

cnf(s10146,plain,
    ( spl0_306
    | ~ spl0_309
    | spl0_370
    | ~ spl0_429
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s10144,s8875,s7380,s10143,s7337,s1870,s10032,s2944,s8034,s8653,s2353,s2219,s10138,s10116,s10084]) ).

cnf(s10147,plain,
    ( spl0_370
    | spl0_315
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6400,s5168,s6889,s6446,s10146,s10145,s1997,s6976,s7225,s4017,s15,s6398,s1,s2944,s2900,s7304,s8034,s8653,s2353,s2219,s10138,s10084,s10116,s6962]) ).

cnf(s10148,plain,
    ( spl0_315
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6446,s5014,s5168,s6957,s6400,s6955,s3923,s10115,s2766,s3072,s2104,s10147,s6962,s681,s7304,s2944,s8034,s8653,s2353,s2219,s10138,s10116,s10084]) ).

cnf(s10149,plain,
    ( spl0_370
    | ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s2150,s2631,s7382,s538,s5405,s6230,s3166,s5288,s67,s6033,s8689,s2012,s1653,s6976,s7225,s4017,s1870,s10032,s2524,s15,s6398,s1,s2944,s7383,s1727,s2721,s7337,s6446,s1212,s10148,s7304,s8034,s8653,s2353,s2219,s10138,s10084,s10116,s9257,s9842]) ).

cnf(s10150,plain,
    ( ~ spl0_323
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8234,s8156,s7214,s8357,s2143,s7381,s6307,s7382,s5999,s538,s5357,s6113,s5405,s6230,s5892,s3041,s53,s3166,s5288,s6955,s5028,s67,s6033,s1208,s2766,s5579,s5617,s5573,s2104,s3841,s10149,s7337,s7383,s6446,s1727,s1212,s2721,s10148,s2944,s7304,s1870,s10032,s8034,s8653,s5984,s15,s2353,s2219,s10138,s10116,s10084,s9843,s9842,s9257,s9256]) ).

cnf(s10151,plain,
    ( ~ spl0_195
    | ~ spl0_367
    | ~ spl0_47
    | ~ spl0_303
    | ~ spl0_512
    | spl0_360
    | ~ spl0_309
    | ~ spl0_429
    | ~ spl0_201
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s2281,s8052,s274,s8121,s2444,s8034,s8653,s10150,s53,s5028,s6461,s5741,s5984,s15,s2353,s2219,s10138,s10116,s10084,s9256]) ).

cnf(s10152,plain,
    ( ~ spl0_377
    | spl0_306
    | spl0_315
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8342,s274,s307,s8046,s8045,s3806,s7380,s6455,s5327,s10151,s7381,s5981,s5708,s2202,s5225,s1688,s9572,s5628,s2524,s5939,s67,s10032,s5744,s7337,s9531,s10,s8127,s6283,s6956,s5014,s6962,s5144,s6957,s9566,s53,s5028,s6461,s5741,s1653,s5984,s10145,s6976,s4017,s6398,s1,s15,s7225,s8653,s8034,s2353,s2219,s10138,s10116,s10084,s2151,s10150,s9257,s9256,s9843,s9842]) ).

cnf(s10153,plain,
    ( spl0_99
    | spl0_195
    | ~ spl0_367
    | ~ spl0_429
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s305,s8342,s8077,s10032,s1688,s6976,s4017,s6398,s1,s1653,s6468,s7225,s8653,s8034,s2353,s2219,s10116,s10084,s681,s10138]) ).

cnf(s10154,plain,
    ( spl0_306
    | spl0_315
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s8125,s8041,s274,s10153,s3334,s3806,s7380,s3071,s8178,s3577,s7381,s5902,s5632,s7382,s5845,s6181,s7383,s10152,s9531,s10,s5321,s8127,s6283,s6956,s5014,s7337,s6962,s53,s5028,s5984,s5942,s9572,s6957,s9566,s2151,s5144,s10150,s5628,s2524,s67,s6461,s5741,s10145,s6976,s4017,s6398,s1,s15,s1653,s7225,s8653,s8034,s2353,s2219,s10138,s10116,s10084,s9257,s9256]) ).

cnf(s10155,plain,
    ( spl0_99
    | ~ spl0_346
    | spl0_315
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s9578,s8077,s131,s5984,s1653,s6468,s681,s10,s7763,s6446,s5168,s6400,s6889,s10145,s6976,s4017,s6398,s1,s15,s1997,s3204,s10150,s2524,s6962,s10154,s7225,s5672,s8034,s8653,s2353,s2219,s10138,s10116,s10084,s9256]) ).

cnf(s10159,plain,
    ( ~ spl0_122
    | ~ spl0_346
    | ~ spl0_607
    | ~ spl0_200 ),
    inference(rat,[],[s2395,s6406,s3019,s2330]) ).

cnf(s10160,plain,
    ( ~ spl0_346
    | spl0_315
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s3118,s319,s3807,s175,s10159,s171,s369,s7364,s10155,s5168,s6400,s6962,s5845,s7383,s3904,s7380,s5409,s6889,s10145,s6976,s4017,s6398,s1,s15,s1997,s7225,s8653,s8034,s2353,s2219,s10138,s10116,s3204,s10150,s2524,s10084,s10154]) ).

cnf(s10161,plain,
    ( spl0_315
    | spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s3118,s171,s319,s5629,s4653,s8114,s2634,s131,s8039,s274,s307,s8038,s5632,s6446,s7382,s7971,s9531,s6181,s10,s5321,s8148,s10160,s7381,s5845,s6682,s7383,s5175,s3904,s7380,s8433,s6400,s5409,s6955,s6889,s3734,s10154,s5942,s9572,s67,s6957,s6461,s9566,s5741,s5628,s10145,s6962,s2202,s15,s2151,s5225,s3204,s2524,s1688,s6976,s4017,s6398,s1,s1997,s5144,s1653,s7225,s8653,s8034,s2353,s2219,s10138,s10116,s10084,s10150,s9842,s9257,s9256,s9843]) ).

cnf(s10162,plain,
    ( spl0_370
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s9531,s8172,s10,s6092,s8105,s9569,s5327,s5939,s6033,s67,s2012,s3595,s2721,s10161,s5144,s6468,s4708,s1653,s6976,s7225,s4017,s1688,s10032,s2524,s681,s8653,s6398,s1,s8034,s2353,s2219,s10138,s10116,s10084,s2151,s5225,s10150,s9259,s9257,s9256,s9843]) ).

cnf(s10165,plain,
    ( ~ spl0_86
    | spl0_99
    | ~ spl0_392
    | ~ spl0_309
    | ~ spl0_618
    | ~ spl0_367
    | spl0_184 ),
    inference(rat,[],[s8042,s9843]) ).

cnf(s10166,plain,
    ( ~ spl0_617
    | ~ spl0_100 ),
    inference(rat,[],[s5794,s9842]) ).

cnf(s10168,plain,
    ( spl0_609
    | ~ spl0_368 ),
    inference(rat,[],[s6232,s9842]) ).

cnf(s10172,plain,
    ( ~ spl0_576
    | spl0_377
    | ~ spl0_31 ),
    inference(rat,[],[s5703,s9257]) ).

cnf(s10174,plain,
    ( ~ spl0_501
    | spl0_532
    | spl0_200 ),
    inference(rat,[],[s5618,s9257]) ).

cnf(s10175,plain,
    ( ~ spl0_501
    | spl0_532
    | spl0_200 ),
    inference(rat,[],[s5329,s9257]) ).

cnf(s10178,plain,
    ( spl0_195
    | ~ spl0_511
    | spl0_530 ),
    inference(rat,[],[s5327,s9257]) ).

cnf(s10181,plain,
    ( spl0_528
    | ~ spl0_192 ),
    inference(rat,[],[s5524,s9842]) ).

cnf(s10186,plain,
    ( ~ spl0_522
    | spl0_346
    | ~ spl0_381 ),
    inference(rat,[],[s3432,s9257]) ).

cnf(s10187,plain,
    ( ~ spl0_513
    | spl0_371
    | ~ spl0_443 ),
    inference(rat,[],[s5433,s9257]) ).

cnf(s10188,plain,
    ( ~ spl0_510
    | spl0_621
    | spl0_346 ),
    inference(rat,[],[s5321,s9257]) ).

cnf(s10189,plain,
    ( ~ spl0_506
    | ~ spl0_32
    | spl0_370 ),
    inference(rat,[],[s3511,s9257]) ).

cnf(s10191,plain,
    ( ~ spl0_502
    | spl0_195
    | ~ spl0_313 ),
    inference(rat,[],[s6439,s9257]) ).

cnf(s10199,plain,
    ( ~ spl0_274
    | ~ spl0_477
    | ~ spl0_392 ),
    inference(rat,[],[s3340,s9843]) ).

cnf(s10215,plain,
    ( ~ spl0_414
    | ~ spl0_32
    | spl0_377 ),
    inference(rat,[],[s2586,s9257]) ).

cnf(s10219,plain,
    ( ~ spl0_395
    | spl0_386
    | ~ spl0_222 ),
    inference(rat,[],[s6237,s9843]) ).

cnf(s10222,plain,
    ( ~ spl0_395
    | spl0_386
    | spl0_99 ),
    inference(rat,[],[s6231,s9843]) ).

cnf(s10226,plain,
    ( spl0_630
    | ~ spl0_395 ),
    inference(rat,[],[s6233,s9842]) ).

cnf(s10228,plain,
    ( spl0_386
    | spl0_47
    | ~ spl0_14
    | ~ spl0_429
    | spl0_206
    | spl0_31
    | spl0_370
    | ~ spl0_20 ),
    inference(rat,[],[s7760,s9843]) ).

cnf(s10238,plain,
    ( ~ spl0_34
    | ~ spl0_377
    | ~ spl0_192 ),
    inference(rat,[],[s2294,s9843]) ).

cnf(s10240,plain,
    ( ~ spl0_377
    | spl0_38
    | ~ spl0_23 ),
    inference(rat,[],[s6235,s9842]) ).

cnf(s10241,plain,
    ( ~ spl0_377
    | spl0_38
    | spl0_31 ),
    inference(rat,[],[s1727,s9842]) ).

cnf(s10245,plain,
    ( ~ spl0_377
    | spl0_38
    | ~ spl0_37 ),
    inference(rat,[],[s6263,s9844]) ).

cnf(s10249,plain,
    ( ~ spl0_363
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_348 ),
    inference(rat,[],[s2087,s9842]) ).

cnf(s10257,plain,
    ( ~ spl0_360
    | spl0_466
    | ~ spl0_363 ),
    inference(rat,[],[s5050,s9843]) ).

cnf(s10258,plain,
    ( spl0_466
    | ~ spl0_363
    | ~ spl0_348 ),
    inference(rat,[],[s5805,s9842]) ).

cnf(s10268,plain,
    ( ~ spl0_358
    | ~ spl0_19 ),
    inference(rat,[],[s5984,s9256]) ).

cnf(s10273,plain,
    ( ~ spl0_339
    | ~ spl0_145
    | spl0_200 ),
    inference(rat,[],[s2889,s9257]) ).

cnf(s10275,plain,
    ( ~ spl0_414
    | spl0_122
    | ~ spl0_371
    | ~ spl0_100
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(rat,[],[s8636,s9842]) ).

cnf(s10276,plain,
    ( ~ spl0_274
    | ~ spl0_100
    | ~ spl0_324
    | ~ spl0_361 ),
    inference(rat,[],[s3081,s9842]) ).

cnf(s10282,plain,
    ( spl0_314
    | ~ spl0_301
    | spl0_306
    | ~ spl0_313 ),
    inference(rat,[],[s1202,s9259]) ).

cnf(s10295,plain,
    ( ~ spl0_274
    | ~ spl0_273
    | ~ spl0_100
    | ~ spl0_368 ),
    inference(rat,[],[s4653,s9842]) ).

cnf(s10297,plain,
    ( ~ spl0_274
    | spl0_103
    | ~ spl0_100 ),
    inference(rat,[],[s4650,s9842]) ).

cnf(s10307,plain,
    ( ~ spl0_366
    | spl0_319
    | ~ spl0_201 ),
    inference(rat,[],[s6269,s9844]) ).

cnf(s10314,plain,
    ( ~ spl0_206
    | ~ spl0_13
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_31 ),
    inference(rat,[],[s6822,s9842]) ).

cnf(s10319,plain,
    ( ~ spl0_366
    | spl0_319
    | ~ spl0_196 ),
    inference(rat,[],[s4865,s9842]) ).

cnf(s10320,plain,
    ( ~ spl0_132
    | ~ spl0_366
    | ~ spl0_200 ),
    inference(rat,[],[s5799,s9842]) ).

cnf(s10321,plain,
    ( ~ spl0_401
    | spl0_31 ),
    inference(rat,[],[s2202,s9842]) ).

cnf(s10322,plain,
    ( ~ spl0_366
    | spl0_319
    | ~ spl0_201 ),
    inference(rat,[],[s6149,s9842]) ).

cnf(s10328,plain,
    ( spl0_219
    | ~ spl0_197 ),
    inference(rat,[],[s6307,s9842]) ).

cnf(s10351,plain,
    ( ~ spl0_511
    | spl0_195
    | ~ spl0_364
    | ~ spl0_466
    | ~ spl0_19
    | ~ spl0_63
    | ~ spl0_428 ),
    inference(rat,[],[s8050,s9257]) ).

cnf(s10352,plain,
    ( ~ spl0_383
    | spl0_9
    | ~ spl0_1 ),
    inference(rat,[],[s2682,s9843]) ).

cnf(s10354,plain,
    ( ~ spl0_14
    | ~ spl0_360
    | spl0_383
    | spl0_323
    | spl0_371 ),
    inference(rat,[],[s7684,s9843]) ).

cnf(s10356,plain,
    ( spl0_418
    | spl0_371
    | ~ spl0_14
    | spl0_31
    | ~ spl0_421
    | spl0_323
    | ~ spl0_20
    | ~ spl0_570
    | spl0_47 ),
    inference(rat,[],[s7736,s9843]) ).

cnf(s10359,plain,
    ( ~ spl0_366
    | spl0_319
    | ~ spl0_196 ),
    inference(rat,[],[s4948,s9843]) ).

cnf(s10362,plain,
    ( ~ spl0_484
    | spl0_323 ),
    inference(rat,[],[s5225,s9843]) ).

cnf(s10364,plain,
    ( ~ spl0_366
    | ~ spl0_195
    | ~ spl0_217 ),
    inference(rat,[],[s4299,s9843]) ).

cnf(s10365,plain,
    ( ~ spl0_30
    | ~ spl0_195
    | ~ spl0_200
    | spl0_323
    | ~ spl0_217
    | ~ spl0_201 ),
    inference(rat,[],[s6800,s9843]) ).

cnf(s10366,plain,
    ( ~ spl0_366
    | ~ spl0_392
    | ~ spl0_487 ),
    inference(rat,[],[s3342,s9843]) ).

cnf(s10369,plain,
    ( ~ spl0_552
    | ~ spl0_366
    | ~ spl0_192 ),
    inference(rat,[],[s4199,s9843]) ).

cnf(s10372,plain,
    ( spl0_386
    | ~ spl0_246
    | ~ spl0_428
    | spl0_323
    | ~ spl0_364 ),
    inference(rat,[],[s7700,s9843]) ).

cnf(s10374,plain,
    ( spl0_386
    | ~ spl0_392
    | spl0_31 ),
    inference(rat,[],[s5226,s9843]) ).

cnf(s10383,plain,
    ( spl0_386
    | spl0_4
    | ~ spl0_195 ),
    inference(rat,[],[s6259,s9843]) ).

cnf(s10391,plain,
    ( spl0_386
    | ~ spl0_368
    | spl0_206 ),
    inference(rat,[],[s6200,s9843]) ).

cnf(s10397,plain,
    ( ~ spl0_361
    | spl0_386
    | spl0_323 ),
    inference(rat,[],[s5850,s9843]) ).

cnf(s10402,plain,
    ( ~ spl0_364
    | ~ spl0_23
    | spl0_383
    | spl0_418
    | ~ spl0_32
    | ~ spl0_37
    | spl0_346 ),
    inference(rat,[],[s7831,s9257,s9843]) ).

cnf(s10403,plain,
    ( ~ spl0_8
    | spl0_192 ),
    inference(rat,[],[s4385,s9842]) ).

cnf(s10413,plain,
    ( ~ spl0_52
    | spl0_61 ),
    inference(rat,[],[s1660,s9256]) ).

cnf(s10415,plain,
    ( spl0_150
    | ~ spl0_13
    | spl0_61
    | spl0_47
    | ~ spl0_20 ),
    inference(rat,[],[s6858,s9256]) ).

cnf(s10418,plain,
    ( ~ spl0_58
    | spl0_44 ),
    inference(rat,[],[s6507,s9257]) ).

cnf(s10431,plain,
    ( ~ spl0_58
    | spl0_44 ),
    inference(rat,[],[s62,s9257]) ).

cnf(s10433,plain,
    ( spl0_60
    | ~ spl0_42
    | ~ spl0_4 ),
    inference(rat,[],[s469,s9256]) ).

cnf(s10447,plain,
    ( spl0_376
    | spl0_377
    | ~ spl0_365
    | ~ spl0_313 ),
    inference(rat,[],[s1716,s9259]) ).

cnf(s10448,plain,
    ( spl0_58
    | ~ spl0_32 ),
    inference(rat,[],[s203,s9259]) ).

cnf(s10452,plain,
    ( spl0_376
    | ~ spl0_381
    | spl0_309
    | ~ spl0_367 ),
    inference(rat,[],[s1792,s9259]) ).

cnf(s10457,plain,
    ( ~ spl0_13
    | ~ spl0_1
    | spl0_31
    | spl0_9 ),
    inference(rat,[],[s2011,s9256]) ).

cnf(s10458,plain,
    ( ~ spl0_13
    | spl0_195
    | ~ spl0_1
    | spl0_9 ),
    inference(rat,[],[s1928,s9843]) ).

cnf(s10462,plain,
    ( ~ spl0_623
    | ~ spl0_19
    | spl0_200 ),
    inference(rat,[],[s5631,s9257]) ).

cnf(s10465,plain,
    ( ~ spl0_620
    | spl0_346
    | ~ spl0_19 ),
    inference(rat,[],[s5802,s9257]) ).

cnf(s10466,plain,
    ( ~ spl0_619
    | spl0_195
    | ~ spl0_19 ),
    inference(rat,[],[s6230,s9257]) ).

cnf(s10468,plain,
    ( ~ spl0_23
    | ~ spl0_195
    | ~ spl0_421
    | spl0_618
    | ~ spl0_246
    | ~ spl0_362 ),
    inference(rat,[],[s7508,s9842]) ).

cnf(s10469,plain,
    ( spl0_618
    | ~ spl0_392 ),
    inference(rat,[],[s5221,s9842]) ).

cnf(s10470,plain,
    ( ~ spl0_593
    | spl0_392 ),
    inference(rat,[],[s5731,s9257]) ).

cnf(s10473,plain,
    ( ~ spl0_581
    | ~ spl0_110
    | spl0_315 ),
    inference(rat,[],[s5292,s9257]) ).

cnf(s10474,plain,
    ( ~ spl0_579
    | spl0_346
    | ~ spl0_313 ),
    inference(rat,[],[s6092,s9257]) ).

cnf(s10479,plain,
    ( ~ spl0_163
    | ~ spl0_557
    | spl0_309 ),
    inference(rat,[],[s5496,s9257]) ).

cnf(s10483,plain,
    ( ~ spl0_526
    | spl0_370
    | ~ spl0_4 ),
    inference(rat,[],[s5449,s9257]) ).

cnf(s10485,plain,
    ( ~ spl0_509
    | spl0_371
    | ~ spl0_436 ),
    inference(rat,[],[s5429,s9257]) ).

cnf(s10489,plain,
    ( ~ spl0_32
    | spl0_383
    | ~ spl0_505 ),
    inference(rat,[],[s3060,s9257]) ).

cnf(s10502,plain,
    ( spl0_346
    | ~ spl0_443
    | ~ spl0_314 ),
    inference(rat,[],[s5434,s9257]) ).

cnf(s10508,plain,
    ( ~ spl0_416
    | ~ spl0_32
    | spl0_306 ),
    inference(rat,[],[s2256,s9257]) ).

cnf(s10514,plain,
    ( ~ spl0_366
    | ~ spl0_381
    | ~ spl0_200
    | spl0_309
    | ~ spl0_195
    | ~ spl0_9
    | ~ spl0_370
    | ~ spl0_63 ),
    inference(rat,[],[s7691,s9259]) ).

cnf(s10523,plain,
    ( ~ spl0_364
    | spl0_418
    | ~ spl0_14
    | ~ spl0_19
    | ~ spl0_32
    | ~ spl0_23
    | ~ spl0_37
    | spl0_383
    | spl0_346 ),
    inference(rat,[],[s7834,s9257]) ).

cnf(s10529,plain,
    ( ~ spl0_10
    | ~ spl0_195
    | ~ spl0_315
    | spl0_31
    | ~ spl0_11
    | spl0_201
    | ~ spl0_370
    | ~ spl0_246
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(rat,[],[s8005,s9259]) ).

cnf(s10567,plain,
    ( ~ spl0_17
    | ~ spl0_383
    | ~ spl0_192 ),
    inference(rat,[],[s4023,s9843]) ).

cnf(s10594,plain,
    ( ~ spl0_423
    | ~ spl0_32
    | spl0_309 ),
    inference(rat,[],[s2254,s9257]) ).

cnf(s10600,plain,
    ( ~ spl0_11
    | ~ spl0_4
    | ~ spl0_31 ),
    inference(rat,[],[s2296,s9256]) ).

cnf(s10603,plain,
    ( spl0_20
    | ~ spl0_13 ),
    inference(rat,[],[s255,s9256]) ).

cnf(s10604,plain,
    ( spl0_20
    | ~ spl0_13 ),
    inference(rat,[],[s254,s9256]) ).

cnf(s10609,plain,
    ( ~ spl0_533
    | ~ spl0_506
    | ~ spl0_201
    | ~ spl0_361
    | ~ spl0_100
    | ~ spl0_360
    | ~ spl0_47
    | ~ spl0_306
    | ~ spl0_609
    | ~ spl0_364
    | spl0_383
    | spl0_493
    | spl0_31
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_20 ),
    inference(rat,[],[s8508,s9843]) ).

cnf(s10617,plain,
    ( ~ spl0_366
    | spl0_454
    | ~ spl0_196
    | spl0_206 ),
    inference(rat,[],[s8897,s9843]) ).

cnf(s10624,plain,
    ( ~ spl0_366
    | ~ spl0_17
    | ~ spl0_421
    | ~ spl0_323
    | ~ spl0_302
    | ~ spl0_393
    | spl0_31
    | ~ spl0_1
    | ~ spl0_303
    | spl0_360
    | ~ spl0_383 ),
    inference(rat,[],[s8930,s9843]) ).

cnf(s10626,plain,
    ( spl0_386
    | ~ spl0_393
    | spl0_31
    | spl0_38
    | spl0_323 ),
    inference(rat,[],[s8252,s9843]) ).

cnf(s10627,plain,
    ( ~ spl0_366
    | spl0_371
    | ~ spl0_386
    | spl0_11
    | spl0_200 ),
    inference(rat,[],[s8659,s9842]) ).

cnf(s10629,plain,
    ( ~ spl0_501
    | spl0_383
    | ~ spl0_443
    | ~ spl0_368
    | ~ spl0_309
    | ~ spl0_365
    | spl0_1 ),
    inference(rat,[],[s8129,s9256]) ).

cnf(s10633,plain,
    ( ~ spl0_366
    | ~ spl0_370
    | spl0_9
    | spl0_11 ),
    inference(rat,[],[s8657,s9842]) ).

cnf(s10637,plain,
    ( ~ spl0_274
    | ~ spl0_366
    | ~ spl0_100
    | ~ spl0_607
    | ~ spl0_360
    | spl0_321 ),
    inference(rat,[],[s8487,s9842]) ).

cnf(s10641,plain,
    ( ~ spl0_366
    | ~ spl0_304
    | ~ spl0_38
    | ~ spl0_315
    | ~ spl0_421
    | spl0_466
    | spl0_206
    | ~ spl0_323 ),
    inference(rat,[],[s8924,s9843]) ).

cnf(s10642,plain,
    ( ~ spl0_13
    | spl0_346
    | spl0_370
    | spl0_309
    | ~ spl0_365
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s8174,s9256]) ).

cnf(s10646,plain,
    ( ~ spl0_366
    | spl0_195
    | spl0_122
    | ~ spl0_443
    | ~ spl0_383
    | spl0_386
    | ~ spl0_313
    | spl0_206
    | spl0_346
    | ~ spl0_246
    | ~ spl0_9
    | ~ spl0_302
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_303 ),
    inference(rat,[],[s8631,s9842]) ).

cnf(s10649,plain,
    ( spl0_386
    | ~ spl0_305
    | ~ spl0_239
    | spl0_31
    | ~ spl0_393 ),
    inference(rat,[],[s8837,s9843]) ).

cnf(s10651,plain,
    ( ~ spl0_86
    | spl0_99
    | ~ spl0_20
    | ~ spl0_367
    | ~ spl0_309
    | spl0_195
    | ~ spl0_392
    | ~ spl0_365 ),
    inference(rat,[],[s8333,s9843]) ).

cnf(s10655,plain,
    ( ~ spl0_366
    | spl0_465
    | ~ spl0_383
    | ~ spl0_305
    | ~ spl0_570
    | spl0_493
    | ~ spl0_429
    | ~ spl0_20
    | ~ spl0_304
    | spl0_417
    | ~ spl0_370
    | ~ spl0_302
    | ~ spl0_37
    | spl0_195
    | ~ spl0_428 ),
    inference(rat,[],[s8505,s9842]) ).

cnf(s10658,plain,
    ( ~ spl0_383
    | ~ spl0_484
    | spl0_1 ),
    inference(rat,[],[s8365,s9843]) ).

cnf(s10659,plain,
    ( ~ spl0_515
    | spl0_195
    | spl0_360
    | ~ spl0_20
    | ~ spl0_468
    | ~ spl0_429
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_306
    | spl0_383
    | spl0_390
    | ~ spl0_302
    | ~ spl0_14
    | ~ spl0_432
    | spl0_323
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_19
    | ~ spl0_609
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_47
    | ~ spl0_11
    | ~ spl0_37
    | ~ spl0_366
    | ~ spl0_200 ),
    inference(rat,[],[s8507,s9842,s9843]) ).

cnf(s10660,plain,
    ( spl0_386
    | ~ spl0_393
    | spl0_31
    | ~ spl0_429
    | spl0_206 ),
    inference(rat,[],[s8872,s9843]) ).

cnf(s10662,plain,
    ( spl0_411
    | ~ spl0_340
    | ~ spl0_302
    | ~ spl0_201
    | ~ spl0_466
    | ~ spl0_368
    | spl0_544
    | ~ spl0_304
    | ~ spl0_365 ),
    inference(rat,[],[s8442,s9842]) ).

cnf(s10663,plain,
    ( spl0_386
    | spl0_38
    | spl0_206
    | spl0_31 ),
    inference(rat,[],[s8619,s9843,s9842]) ).

cnf(s10668,plain,
    ( ~ spl0_366
    | spl0_11
    | spl0_200
    | spl0_9
    | spl0_371 ),
    inference(rat,[],[s8658,s9842]) ).

cnf(s10670,plain,
    ( ~ spl0_366
    | ~ spl0_368
    | spl0_206
    | ~ spl0_371
    | ~ spl0_363
    | ~ spl0_381
    | ~ spl0_1
    | spl0_195 ),
    inference(rat,[],[s8633,s9842]) ).

cnf(s10673,plain,
    ( ~ spl0_360
    | ~ spl0_363
    | spl0_323
    | ~ spl0_418
    | spl0_31
    | spl0_38 ),
    inference(rat,[],[s8103,s9842]) ).

cnf(s10674,plain,
    ( ~ spl0_366
    | spl0_386
    | spl0_206
    | spl0_195
    | ~ spl0_346
    | spl0_323
    | spl0_327
    | ~ spl0_443
    | spl0_99 ),
    inference(rat,[],[s8569,s9843]) ).

cnf(s10677,plain,
    ( spl0_309
    | ~ spl0_306
    | spl0_1
    | ~ spl0_371
    | ~ spl0_365
    | spl0_315
    | spl0_323
    | ~ spl0_20 ),
    inference(rat,[],[s8106,s9256]) ).

cnf(s10680,plain,
    ( ~ spl0_28
    | ~ spl0_371
    | spl0_38
    | spl0_31
    | spl0_323
    | ~ spl0_1 ),
    inference(rat,[],[s8655,s9842]) ).

cnf(s10683,plain,
    ( ~ spl0_13
    | spl0_346
    | ~ spl0_196
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s8148,s9256]) ).

cnf(s10684,plain,
    ( ~ spl0_533
    | spl0_420
    | ~ spl0_20
    | ~ spl0_506
    | ~ spl0_361
    | ~ spl0_47
    | ~ spl0_51
    | ~ spl0_609
    | ~ spl0_100
    | ~ spl0_306
    | ~ spl0_360
    | ~ spl0_364
    | spl0_383
    | ~ spl0_302
    | ~ spl0_304
    | ~ spl0_6
    | ~ spl0_370
    | spl0_184 ),
    inference(rat,[],[s8510,s9843]) ).

cnf(s10685,plain,
    ( ~ spl0_364
    | ~ spl0_510
    | spl0_360
    | ~ spl0_34
    | spl0_346
    | spl0_383
    | spl0_1 ),
    inference(rat,[],[s8138,s9257]) ).

cnf(s10689,plain,
    ( ~ spl0_23
    | spl0_418
    | ~ spl0_421
    | ~ spl0_364
    | spl0_31 ),
    inference(rat,[],[s9028,s9843]) ).

cnf(s10691,plain,
    ( ~ spl0_366
    | ~ spl0_10
    | spl0_386
    | spl0_195
    | spl0_206
    | spl0_392
    | ~ spl0_383
    | ~ spl0_393 ),
    inference(rat,[],[s9059,s9843]) ).

cnf(s10695,plain,
    ( ~ spl0_368
    | ~ spl0_428
    | spl0_323
    | ~ spl0_303
    | spl0_195 ),
    inference(rat,[],[s9085,s9843]) ).

cnf(s10700,plain,
    ( spl0_383
    | spl0_371
    | ~ spl0_192
    | ~ spl0_348
    | ~ spl0_14 ),
    inference(rat,[],[s9198,s9842]) ).

cnf(s10701,plain,
    ( ~ spl0_100
    | ~ spl0_392
    | ~ spl0_527
    | ~ spl0_51
    | spl0_38
    | ~ spl0_196
    | spl0_31 ),
    inference(rat,[],[s2395,s3117,s10199,s3109,s171,s3986,s9118,s160,s159]) ).

cnf(s10702,plain,
    ( ~ spl0_315
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s4626,s3376,s4543,s7380,s7382,s3117,s5328,s5707,s3071,s9912,s7316,s171,s6957,s5732,s369,s8153,s4874,s274,s7364,s8509,s131,s10701,s8357,s6356,s8178,s7381,s5999,s10178,s53,s5939,s6033,s1208,s7337,s7383,s5028,s67,s5617,s1241,s10241,s5579,s5573,s1212,s2721,s10032,s2151,s10150,s5785,s3841,s3072,s10162,s681,s8034,s8653,s10268,s15,s2353,s2219,s10138,s10116,s10084]) ).

cnf(s10703,plain,
    ( ~ spl0_421
    | ~ spl0_305
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s7525,s6955,s4072,s8454,s3276,s3920,s8867,s6957,s6724,s10032,s2524,s10162,s2151,s10150,s2353,s2219,s10138,s10116,s10084,s6962,s10702]) ).

cnf(s10704,plain,
    ( spl0_309
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6552,s5521,s3483,s10677,s2140,s10703,s1798,s1724,s6691,s10145,s1208,s3204,s10150,s2524,s15,s6398,s1,s8034,s2353,s2219,s10138,s10116,s10084,s10702]) ).

cnf(s10705,plain,
    ( spl0_383
    | spl0_99
    | ~ spl0_14
    | ~ spl0_100
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s5621,s6969,s2622,s8340,s319,s4658,s10165,s5175,s2444,s10469,s8121,s307,s7381,s8046,s2675,s2611,s6956,s8045,s5014,s5744,s6957,s3276,s10258,s7380,s8494,s7649,s7810,s5795,s1870,s10032,s2151,s10362,s15,s8034,s6962,s10702,s5617,s10704,s10162,s7337,s2633,s2524,s4930,s10150,s6139,s2353,s2219,s10138,s10116,s10084]) ).

cnf(s10706,plain,
    ( spl0_527
    | spl0_377
    | ~ spl0_383
    | ~ spl0_309
    | ~ spl0_365 ),
    inference(rat,[],[s5982,s7381,s3545,s8178,s5357,s10116,s7383]) ).

cnf(s10707,plain,
    ( spl0_377
    | ~ spl0_303
    | ~ spl0_301
    | ~ spl0_383
    | spl0_99
    | ~ spl0_100
    | ~ spl0_421
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s10276,s1731,s6969,s6327,s5621,s5616,s2622,s319,s10165,s7382,s5175,s10469,s9912,s8121,s7381,s2675,s8045,s7380,s3071,s10706,s7383,s10362,s10150,s6962,s10704,s2633,s2524,s10084,s5744,s10702]) ).

cnf(s10708,plain,
    ( ~ spl0_301
    | spl0_346
    | ~ spl0_206
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s3581,s7351,s8340,s4142,s6969,s3063,s5616,s8045,s10258,s7380,s6455,s5288,s67,s319,s10466,s4070,s10165,s2444,s10374,s10469,s8121,s7381,s5708,s10707,s6956,s5014,s5744,s10032,s10321,s2151,s10362,s15,s6962,s10702,s7337,s2633,s2524,s4930,s10150,s10705,s8116,s53,s10413,s7419,s5617,s10704,s10,s10683,s8509,s8034,s8653,s2353,s2219,s10138,s10116,s10084,s10162]) ).

cnf(s10709,plain,
    ( ~ spl0_302
    | ~ spl0_421
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s7525,s6955,s4072,s8454,s3276,s3920,s8867,s10032,s2524,s10162,s2151,s10150,s2353,s2219,s10138,s10116,s10084,s6962,s10702]) ).

cnf(s10710,plain,
    ( spl0_383
    | spl0_371
    | ~ spl0_346
    | spl0_1
    | spl0_323 ),
    inference(rat,[],[s7810,s6139,s10,s1786,s2678,s7380,s5521,s1724,s10362,s15,s6398,s1,s8034]) ).

cnf(s10711,plain,
    ( ~ spl0_364
    | spl0_418
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s10466,s5288,s2444,s67,s2718,s10689,s8763,s6455,s10032,s15,s2353,s2219,s10138,s10084,s5617,s10704,s10116,s10162,s7337]) ).

cnf(s10712,plain,
    ( ~ spl0_206
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s2671,s2622,s6969,s319,s8340,s10651,s4658,s8121,s274,s307,s7381,s8046,s2675,s8045,s2678,s10258,s7380,s10711,s3175,s5168,s10708,s4930,s8509,s10032,s2151,s10362,s10150,s8034,s8653,s2353,s2219,s10138,s10084,s5617,s10704,s10116,s10162,s5744,s6956,s5014,s6957,s10709,s7337,s6962,s10702]) ).

cnf(s10713,plain,
    ( spl0_383
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s10705,s131,s274,s8046,s8045,s7380,s8494,s5795,s1870,s10032,s10362,s10150,s15,s5617,s10704,s2611,s7146,s6139,s10,s10683,s2766,s5100,s8583,s1653,s10712,s8653,s8034,s2353,s2219,s10138,s10116,s10084,s10162,s6956,s5014,s6957,s10709,s7337,s6962,s10702]) ).

cnf(s10714,plain,
    ( ~ spl0_363
    | spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s5621,s6969,s2622,s8340,s319,s4930,s5175,s10651,s131,s4658,s10151,s8121,s274,s307,s7381,s8046,s2675,s8045,s10032,s10362,s5617,s10704,s5744,s5141,s2151,s10150,s2611,s7146,s6139,s10,s10683,s2766,s5100,s8583,s1653,s10712,s8653,s8034,s2353,s2219,s10138,s10116,s10084,s10162,s6956,s5014,s6957,s10709,s7337,s6962,s10702]) ).

cnf(s10715,plain,
    ( spl0_306
    | ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6550,s5708,s10151,s10706,s10178,s3071,s6455,s7380,s10714,s10713,s5100,s5939,s8583,s67,s1653,s7993,s10712,s6956,s5014,s5744,s6957,s10709,s7337,s10032,s10321,s8034,s8653,s2353,s2219,s10138,s10084,s6962,s10702,s5617,s10704,s10116,s10162]) ).

cnf(s10716,plain,
    ( ~ spl0_196
    | ~ spl0_365 ),
    inference(rat,[],[s6031,s4499,s3109,s7351,s10297,s10295,s1731,s6327,s5616,s319,s8114,s131,s8123,s7381,s53,s6682,s5028,s7383,s5077,s8045,s3904,s5175,s5712,s7380,s8433,s6400,s5409,s6957,s6955,s6889,s2645,s3734,s10715,s5617,s10704,s6962,s10702,s10268,s15,s2353,s3072,s5785,s3204,s10362,s2151,s2219,s681,s10162,s10150,s10138,s10116,s2524,s10321,s10084]) ).

cnf(s10717,plain,
    ( ~ spl0_200
    | ~ spl0_303
    | spl0_327
    | spl0_1
    | ~ spl0_365 ),
    inference(rat,[],[s538,s8437,s10328,s2766,s5804,s1653,s9196,s7381,s8180,s5127,s10716,s10032,s8034,s8653]) ).

cnf(s10718,plain,
    ( ~ spl0_484
    | ~ spl0_443
    | ~ spl0_301
    | ~ spl0_47
    | ~ spl0_309
    | ~ spl0_365 ),
    inference(rat,[],[s6099,s5168,s10629,s2944,s10658,s10362,s7381,s8180,s5127,s8034,s8653,s83,s2012,s10084,s9196,s10716,s10032,s10116]) ).

cnf(s10719,plain,
    ( ~ spl0_301
    | ~ spl0_370
    | spl0_315
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s5795,s10706,s8494,s3071,s7380,s2675,s10718,s6964,s10717,s6956,s5014,s1870,s6962,s15,s6861,s7383,s5708,s10321,s10391,s7381,s8180,s7337,s8583,s8653,s1653,s8034,s83,s2012,s10084,s9196,s5617,s10116,s6961,s7789,s3584,s5127,s10716,s10032]) ).

cnf(s10720,plain,
    ( ~ spl0_200
    | ~ spl0_370
    | spl0_315
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s2488,s1731,s272,s6327,s2890,s5616,s319,s8008,s4930,s131,s8123,s67,s53,s10662,s2002,s10413,s5752,s5712,s8867,s7365,s7419,s6114,s7525,s10115,s9477,s6955,s3072,s6468,s10717,s681,s8370,s6962,s6861,s7383,s5708,s10321,s10391,s7381,s8180,s7337,s8583,s8653,s1653,s8034,s83,s2012,s10084,s9196,s5617,s10116,s6961,s7789,s3584,s5127,s10716,s10032,s6957,s10719]) ).

cnf(s10721,plain,
    ( spl0_323
    | ~ spl0_363
    | spl0_623
    | ~ spl0_302
    | ~ spl0_309
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s5754,s5892,s67,s6955,s2002,s2675,s8867,s10362,s7381,s8180,s5127,s10716,s10032]) ).

cnf(s10722,plain,
    ( ~ spl0_363
    | spl0_623
    | ~ spl0_302
    | ~ spl0_47
    | ~ spl0_309
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s8017,s2444,s1724,s6747,s10658,s7382,s2675,s5836,s6956,s9901,s10721,s8653,s83,s10116,s4432,s6861,s7383,s5708,s10321,s10391,s7381,s8180,s5127,s2012,s10084,s9196,s10716,s7337,s1870,s10032]) ).

cnf(s10723,plain,
    ( ~ spl0_370
    | spl0_315
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s5754,s3496,s67,s5982,s2002,s5795,s8867,s8494,s8875,s7380,s10722,s10462,s10720,s6957,s10719,s5617,s1870,s15,s8034,s83,s10116,s6861,s7383,s5708,s10321,s10391,s7381,s8180,s2012,s6961,s7789,s3584,s5127,s10084,s9196,s10716,s10032,s7337]) ).

cnf(s10724,plain,
    ( spl0_315
    | spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s2105,s10717,s7382,s6956,s6747,s6114,s5982,s5752,s6976,s5509,s4017,s8394,s10723,s6398,s6861,s8034,s1,s15,s7383,s83,s5708,s2012,s6961,s7789,s10116,s10321,s10084,s3584,s10391,s7381,s8180,s5127,s9196,s10716,s10032,s7337]) ).

cnf(s10725,plain,
    ( ~ spl0_309
    | ~ spl0_370
    | ~ spl0_315
    | ~ spl0_365 ),
    inference(rat,[],[s9750,s1212,s7383,s5617,s5708,s10321,s10084,s10469,s5619,s1653,s9196,s2952,s5999,s5573,s10116,s7381,s8180,s5127,s10716,s10032]) ).

cnf(s10726,plain,
    ( ~ spl0_370
    | ~ spl0_315
    | ~ spl0_365 ),
    inference(rat,[],[s6847,s7506,s7304,s67,s2151,s5288,s8383,s6033,s1208,s10725,s6957,s6101,s6955,s8445,s10466,s8653,s8034,s15,s5999,s1872,s5573,s10116,s3584,s1997,s8370,s10391,s7381,s8180,s5127,s6120,s10084,s1653,s9196,s10716,s10032]) ).

cnf(s10727,plain,
    ( spl0_306
    | ~ spl0_365 ),
    inference(rat,[],[s6101,s6955,s6957,s10717,s2145,s2105,s7382,s10642,s8410,s6747,s10,s10447,s7383,s6139,s5981,s1831,s8224,s538,s10328,s4519,s1212,s5804,s681,s7663,s7147,s1688,s10726,s10469,s5619,s6120,s10724,s7337,s10084,s10116,s3584,s1653,s8370,s10391,s7381,s8180,s9196,s10032,s5127,s10716]) ).

cnf(s10728,plain,
    ( ~ spl0_309
    | ~ spl0_365 ),
    inference(rat,[],[s7304,s8653,s8034,s2900,s3204,s83,s6889,s2012,s10116,s2524,s1997,s10084,s8370,s10391,s7381,s8180,s9196,s10032,s5127,s10716,s10727]) ).

cnf(s10729,plain,
    ~ spl0_365,
    inference(rat,[],[s15,s1831,s4131,s8224,s3555,s538,s3271,s37,s6446,s10328,s6956,s5900,s1212,s5804,s6101,s5739,s7663,s6957,s1688,s6062,s10726,s6120,s6113,s7789,s1208,s10728,s10727,s8370,s10391,s7381,s1997,s1653,s3584,s8180,s9196,s5127,s10716,s10116,s10084,s10032]) ).

cnf(s10730,plain,
    spl0_366,
    inference(rat,[],[s7378,s10729]) ).

cnf(s10731,plain,
    ( ~ spl0_196
    | ~ spl0_393
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s7671,s10,s10397,s8147,s7382,s2827,s6747,s10660,s10374,s9973,s8653,s8034,s15,s1872,s4686,s10319,s10730]) ).

cnf(s10732,plain,
    ( ~ spl0_367
    | spl0_1
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429 ),
    inference(rat,[],[s10165,s160,s8116,s2633,s53,s8509,s5028,s5628,s3279,s3011,s10181,s8498,s1724,s3921,s10469,s6682,s3953,s8146,s5617,s7383,s6240,s5785,s9973,s10268,s15,s2502,s8653,s10730]) ).

cnf(s10733,plain,
    ( ~ spl0_303
    | spl0_327
    | ~ spl0_368
    | ~ spl0_11
    | ~ spl0_4
    | spl0_195
    | ~ spl0_200 ),
    inference(rat,[],[s2766,s8437]) ).

cnf(s10734,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s8494,s1870,s6847,s10397,s3755,s67,s7382,s10351,s4238,s6455,s7380,s5712,s6960,s4866,s2151,s5168,s6957,s9901,s7525,s5014,s6955,s10733,s2104,s8514,s5795,s5640,s7381,s10732,s6139,s9973,s8653,s15,s5127,s10731,s7337,s3953,s8146,s10,s8147,s5617,s7383,s6240,s5785,s10730]) ).

cnf(s10735,plain,
    ( ~ spl0_192
    | spl0_383
    | ~ spl0_348
    | spl0_31
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_421 ),
    inference(rat,[],[s3003,s9924,s10700]) ).

cnf(s10736,plain,
    ( ~ spl0_301
    | ~ spl0_368
    | ~ spl0_9
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_4
    | spl0_195
    | ~ spl0_200
    | spl0_196
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s8437,s8479,s6956,s7601,s5014]) ).

cnf(s10737,plain,
    ( ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s4391,s6109,s2669,s5894,s10354,s1690,s5168,s2079,s7525,s6955,s8516,s3920,s6957,s10736,s7381,s8498,s10735,s1724,s1831,s10626,s2151,s2353,s10098,s1653,s10600,s10307,s8193,s1872,s83,s10734,s5127,s10731,s7337,s8146,s10,s8147,s5617,s7383,s6240,s5785,s10730]) ).

cnf(s10738,plain,
    ( spl0_4
    | spl0_196
    | ~ spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | spl0_315 ),
    inference(rat,[],[s7264,s10307,s8193,s1872,s83,s4076,s8034,s37,s5617,s10730]) ).

cnf(s10739,plain,
    ( ~ spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4122,s5999,s5795,s10178,s8494,s6455,s5939,s1870,s7380,s4726,s5208,s7381,s6956,s6356,s5892,s6861,s10175,s10660,s2012,s8583,s3149,s9973,s8653,s15,s67,s1872,s2002,s10322,s1653,s7367,s12,s3721,s10737,s10738,s10731,s7383,s6240,s5617,s5785,s7337,s6962,s10730]) ).

cnf(s10740,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_200
    | spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s7525,s4954,s6955,s7146,s2696,s2823,s3920,s6957,s10109,s3204,s10098,s1653,s10307,s2002,s2502,s6139,s9571,s9973,s8653,s7337,s6393,s10,s10603,s1353,s10418,s10448,s6659,s10730]) ).

cnf(s10741,plain,
    ( spl0_418
    | spl0_319
    | ~ spl0_200
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s3920,s6957,s3175,s7601,s6956,s6400,s7525,s10359,s1653,s10307,s10730]) ).

cnf(s10742,plain,
    ( ~ spl0_195
    | ~ spl0_308
    | spl0_484
    | ~ spl0_224
    | ~ spl0_346
    | ~ spl0_14 ),
    inference(rat,[],[s6552,s5520,s5843,s4284,s10730]) ).

cnf(s10743,plain,
    ( ~ spl0_4
    | ~ spl0_200
    | spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s4519,s2145,s7381,s7382,s5522,s4249,s10742,s3501,s4391,s6955,s2696,s3920,s6957,s7601,s5609,s2669,s9965,s2680,s458,s2279,s1690,s5712,s2079,s10741,s10362,s2151,s10098,s10600,s5126,s1653,s5127,s10307,s10359,s1872,s10740,s7337,s10508,s6393,s10,s10603,s1353,s10418,s10448,s6659,s3072,s681,s10730]) ).

cnf(s10744,plain,
    ( ~ spl0_417
    | ~ spl0_11
    | spl0_201
    | ~ spl0_10
    | ~ spl0_200 ),
    inference(rat,[],[s7283,s3920,s6172]) ).

cnf(s10745,plain,
    ( ~ spl0_200
    | spl0_20
    | ~ spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s6550,s5522,s4519,s3501,s2145,s3755,s7382,s4249,s4391,s10742,s1690,s6306,s3923,s10362,s2151,s6957,s7506,s5014,s2669,s6955,s4860,s2696,s10744,s5126,s1653,s10307,s5127,s1872,s3863,s8034,s37,s10743,s3072,s681,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10730]) ).

cnf(s10746,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_200
    | spl0_20
    | ~ spl0_309 ),
    inference(rat,[],[s10322,s2002,s7353,s9571,s8653,s10730]) ).

cnf(s10747,plain,
    ( ~ spl0_4
    | spl0_200
    | spl0_20
    | ~ spl0_370
    | ~ spl0_309 ),
    inference(rat,[],[s5126,s7353,s1653,s10307,s10359,s1872,s10746,s10730]) ).

cnf(s10748,plain,
    ( ~ spl0_303
    | ~ spl0_367
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_443
    | ~ spl0_346
    | ~ spl0_14
    | ~ spl0_370 ),
    inference(rat,[],[s4863,s8875,s3003,s1870,s5143,s10181,s7380,s7382,s6343,s5843,s3334,s3580,s8562,s7283,s1724,s6172,s6173,s4122,s3175,s2335,s5126,s1653,s10307,s10359,s1872,s10730]) ).

cnf(s10749,plain,
    ( spl0_195
    | spl0_537
    | ~ spl0_308
    | ~ spl0_466
    | ~ spl0_367
    | ~ spl0_345
    | spl0_416 ),
    inference(rat,[],[s3755,s3501,s7382,s5522,s4249]) ).

cnf(s10750,plain,
    ( ~ spl0_367
    | spl0_31
    | spl0_4
    | ~ spl0_443
    | ~ spl0_346
    | ~ spl0_14
    | spl0_416
    | ~ spl0_370
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s5520,s1831,s7380,s10383,s5843,s10749,s4391,s2669,s1690,s4860,s2079,s6306,s6173,s10362,s2151,s3041,s7525,s6955,s10748,s37,s5127,s5126,s1653,s10307,s10359,s1872,s8034,s10730]) ).

cnf(s10751,plain,
    ( ~ spl0_370
    | ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s5014,s6955,s6957,s5208,s4866,s2105,s7380,s7382,s3059,s2492,s7383,s5708,s7381,s10750,s10321,s6182,s5126,s1653,s10307,s10359,s1872,s8034,s10747,s6964,s10745,s1353,s10418,s10,s10508,s10448,s10603,s6659,s10739,s7337,s6962,s10730]) ).

cnf(s10752,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_200
    | ~ spl0_20
    | spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s7243,s8445,s6114,s7381,s5752,s5127,s6682,s6861,s4686,s3921,s5975,s10660,s8470,s7383,s10364,s6240,s6468,s2012,s1997,s7225,s5509,s9973,s8653,s15,s681,s3953,s10730]) ).

cnf(s10753,plain,
    ( ~ spl0_11
    | spl0_38
    | ~ spl0_4
    | spl0_370
    | ~ spl0_309 ),
    inference(rat,[],[s2012,s7225,s10600]) ).

cnf(s10754,plain,
    ( ~ spl0_4
    | ~ spl0_200
    | ~ spl0_421
    | ~ spl0_20
    | spl0_370
    | ~ spl0_309
    | ~ spl0_429 ),
    inference(rat,[],[s5018,s2353,s2002,s2219,s10319,s8193,s10753,s83,s10752,s10730]) ).

cnf(s10755,plain,
    ( ~ spl0_196
    | ~ spl0_11
    | spl0_552
    | ~ spl0_1
    | ~ spl0_200
    | ~ spl0_20
    | spl0_315 ),
    inference(rat,[],[s7190,s2352,s3481,s2219]) ).

cnf(s10756,plain,
    ( ~ spl0_367
    | ~ spl0_393
    | ~ spl0_10
    | spl0_465
    | ~ spl0_20
    | ~ spl0_313
    | ~ spl0_429 ),
    inference(rat,[],[s4360,s4257,s2952,s1724,s6197,s3921,s10469,s6682]) ).

cnf(s10757,plain,
    ( ~ spl0_428
    | spl0_195
    | ~ spl0_303
    | ~ spl0_368
    | ~ spl0_206
    | ~ spl0_11 ),
    inference(rat,[],[s7321,s3021,s8523,s10695,s10730]) ).

cnf(s10758,plain,
    ( spl0_195
    | ~ spl0_303
    | ~ spl0_368
    | spl0_201
    | ~ spl0_28
    | ~ spl0_206
    | ~ spl0_9
    | spl0_31
    | spl0_196
    | ~ spl0_11
    | spl0_38
    | ~ spl0_1
    | ~ spl0_200
    | spl0_370
    | spl0_306 ),
    inference(rat,[],[s4920,s4263,s142,s3273,s158,s1870,s7380,s9118,s53,s4432,s2675,s8936,s2493,s8017,s3580,s10680,s7382,s6957,s9050,s1724,s2105,s7601,s5975,s2766,s2651,s8479,s2335,s3463,s10757,s7383,s10241,s10730]) ).

cnf(s10759,plain,
    ( ~ spl0_303
    | ~ spl0_368
    | spl0_201
    | ~ spl0_28
    | ~ spl0_206
    | spl0_31
    | spl0_196
    | ~ spl0_11
    | ~ spl0_1
    | ~ spl0_10
    | ~ spl0_200
    | ~ spl0_20
    | spl0_370
    | spl0_306 ),
    inference(rat,[],[s7283,s6228,s6218,s7382,s6747,s10469,s6197,s10758,s7337,s2353,s7383,s10241,s83,s10168,s10730]) ).

cnf(s10760,plain,
    ( spl0_31
    | spl0_196
    | ~ spl0_11
    | ~ spl0_200
    | ~ spl0_20
    | spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s6553,s6747,s2143,s2080,s10469,s10328,s10,s6197,s538,s6115,s9050,s1690,s1831,s10680,s10626,s2151,s9901,s7525,s6955,s10759,s7381,s10756,s605,s22,s7383,s2436,s367,s2012,s10241,s2524,s1688,s3953,s37,s5950,s83,s8034,s10754,s7337,s5127,s10730]) ).

cnf(s10761,plain,
    ( ~ spl0_11
    | ~ spl0_200
    | ~ spl0_20
    | ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s10431,s1353,s342,s9477,s22,s9494,s5144,s6468,s5644,s1653,s5176,s6182,s10760,s5127,s10755,s1688,s681,s4437,s37,s83,s8034,s10754,s7337,s10751,s6962]) ).

cnf(s10762,plain,
    ( ~ spl0_200
    | ~ spl0_20
    | ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s5018,s2353,s4506,s2219,s8193,s10761,s83,s8034,s37,s10754,s2503,s681,s7337,s6962,s10751]) ).

cnf(s10763,plain,
    ( spl0_1
    | spl0_200
    | spl0_370
    | ~ spl0_309
    | ~ spl0_429 ),
    inference(rat,[],[s7383,s6240,s10660,s1997,s4686,s4489,s8394,s9973,s15,s10,s1982,s10730]) ).

cnf(s10764,plain,
    ( spl0_11
    | ~ spl0_1
    | spl0_200
    | ~ spl0_20
    | ~ spl0_309
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s2111,s8250,s2651,s4828,s7382,s7381,s10626,s6747,s6682,s7383,s10374,s10241,s2353,s5018,s2002,s4686,s10319,s8193,s83,s10730]) ).

cnf(s10765,plain,
    ( spl0_386
    | ~ spl0_206
    | spl0_31
    | spl0_4
    | ~ spl0_11
    | spl0_38
    | ~ spl0_443
    | ~ spl0_421 ),
    inference(rat,[],[s8919,s6957,s6956,s3021,s3041,s10626,s10374,s10383,s7383,s10241,s10730]) ).

cnf(s10766,plain,
    ( spl0_31
    | ~ spl0_11
    | ~ spl0_1
    | ~ spl0_14
    | ~ spl0_443
    | ~ spl0_20
    | spl0_370
    | ~ spl0_309
    | spl0_306 ),
    inference(rat,[],[s4263,s4920,s5518,s6197,s10469,s142,s6747,s7380,s158,s7382,s2675,s160,s9118,s6228,s3580,s53,s6957,s6956,s2773,s8936,s3021,s3041,s10680,s7381,s8556,s5510,s1724,s1831,s10765,s605,s22,s67,s7383,s2436,s367,s2012,s10241,s2524,s7337,s37,s5950,s10753,s83,s10730]) ).

cnf(s10767,plain,
    ( ~ spl0_20
    | ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s10485,s5405,s7382,s2952,s6455,s10397,s10383,s7380,s1831,s4866,s6976,s6957,s8556,s6105,s8640,s1353,s10418,s342,s22,s5144,s5644,s1653,s5176,s6182,s10766,s10753,s10764,s83,s10763,s10,s1982,s6964,s10762,s7337,s6962,s1688,s10751,s10730]) ).

cnf(s10768,plain,
    ( spl0_1
    | spl0_20
    | spl0_370
    | ~ spl0_309 ),
    inference(rat,[],[s5741,s1653,s7147,s6461,s4489,s6139,s9571,s9973,s15,s10,s10603]) ).

cnf(s10774,plain,
    ( ~ spl0_303
    | spl0_401
    | ~ spl0_200
    | ~ spl0_346
    | ~ spl0_14
    | ~ spl0_58
    | spl0_370
    | ~ spl0_309
    | ~ spl0_421 ),
    inference(rat,[],[s6553,s2492,s2105,s5708,s7381,s5510,s1724,s5975,s2335,s6283,s10730]) ).

cnf(s10783,plain,
    ( ~ spl0_367
    | spl0_31
    | ~ spl0_1
    | ~ spl0_14
    | spl0_506
    | spl0_370
    | ~ spl0_429 ),
    inference(rat,[],[s6333,s5652,s10374,s1831,s6976,s3832]) ).

cnf(s10784,plain,
    ( spl0_31
    | ~ spl0_1
    | ~ spl0_14
    | spl0_506
    | ~ spl0_58
    | spl0_370
    | ~ spl0_309
    | ~ spl0_429
    | spl0_306 ),
    inference(rat,[],[s5014,s6955,s6957,s5208,s4866,s2105,s7380,s7382,s3059,s2492,s7383,s5708,s7381,s10783,s10321,s7337,s10730]) ).

cnf(s10785,plain,
    ( spl0_11
    | ~ spl0_31
    | ~ spl0_309 ),
    inference(rat,[],[s1653,s5126,s10307,s10359,s2002,s5018,s10730]) ).

cnf(s10786,plain,
    ( ~ spl0_309
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6553,s4249,s10397,s10383,s1831,s6976,s8556,s1690,s3003,s6306,s2151,s5176,s10600,s10785,s10784,s10768,s1353,s10418,s10,s10508,s10189,s10448,s10603,s6659,s10767,s10751,s6962,s10730]) ).

cnf(s10787,plain,
    ( ~ spl0_200
    | ~ spl0_570
    | ~ spl0_196
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s3923,s7146,s7365,s4961,s4072,s7525,s6955,s8454,s3072,s3920,s681,s8034,s8653,s2524,s9973,s10319,s3276,s10730]) ).

cnf(s10788,plain,
    ( spl0_200
    | ~ spl0_196
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s8875,s7649,s7380,s7304,s1870,s4866,s2151,s10369,s8583,s7774,s4708,s7353,s2827,s6962,s8034,s8653,s9973,s3276,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10789,plain,
    ( ~ spl0_196
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s7304,s2151,s3923,s4072,s10683,s7525,s10,s6955,s6139,s8454,s3072,s10787,s3920,s681,s10788,s3276,s10319,s6962,s6957,s6724,s1208,s10786,s7337,s8034,s8653,s2524,s9973,s10730]) ).

cnf(s10790,plain,
    ( spl0_346
    | ~ spl0_511
    | ~ spl0_418
    | ~ spl0_364
    | ~ spl0_304
    | spl0_195
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429 ),
    inference(rat,[],[s8494,s4954,s1870,s67,s5795,s3755,s10351,s10655,s7382,s5712,s3204,s4238,s7365,s2944,s6960,s15,s8034,s8653,s2524,s9973,s3953,s3920,s10730]) ).

cnf(s10791,plain,
    ( spl0_206
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s2151,s7304,s1638,s3923,s10790,s6455,s7525,s7380,s6955,s4866,s8454,s10364,s8583,s10322,s6468,s1653,s6962,s8034,s8653,s3920,s6957,s6724,s1208,s10786,s7337,s3072,s681,s10730]) ).

cnf(s10792,plain,
    ( ~ spl0_303
    | ~ spl0_428
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_31
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_421 ),
    inference(rat,[],[s4237,s10178,s2680,s5415,s10241,s7382,s1798,s4284,s4124,s7695,s7146,s8516,s2611,s3953,s3920,s3072,s681,s10730]) ).

cnf(s10793,plain,
    ( ~ spl0_371
    | ~ spl0_304
    | spl0_346
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s8571,s7382,s7381,s5633,s6257,s10790,s6455,s7380,s4866,s2104,s6957,s6724,s1208,s10786,s3953,s7525,s7337,s6962,s10730]) ).

cnf(s10794,plain,
    ( spl0_346
    | ~ spl0_200
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s10655,s4284,s8514,s10793,s6955,s10792,s6960,s6962,s8034,s3953,s3920,s6957,s6724,s1208,s10786,s7337,s3072,s681,s3204,s7671,s10791,s6139,s8653,s15,s2524,s9973,s10730]) ).

cnf(s10795,plain,
    ( ~ spl0_200
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s10241,s2680,s1798,s7525,s7695,s6955,s7146,s10710,s2696,s3923,s10794,s7671,s10791,s3072,s3920,s3953,s681,s6962,s6957,s6724,s1208,s10786,s7337,s15,s8653,s9973,s6139,s10730]) ).

cnf(s10796,plain,
    ( spl0_395
    | spl0_321
    | ~ spl0_192
    | spl0_392
    | ~ spl0_377
    | ~ spl0_502
    | ~ spl0_367
    | ~ spl0_509
    | ~ spl0_20
    | ~ spl0_6
    | ~ spl0_302
    | ~ spl0_429 ),
    inference(rat,[],[s7390,s8401,s3875,s171,s5660,s8398,s6332,s2718]) ).

cnf(s10798,plain,
    ( ~ spl0_99
    | ~ spl0_192
    | spl0_392
    | ~ spl0_377
    | ~ spl0_502
    | ~ spl0_250
    | ~ spl0_367
    | ~ spl0_509
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_429 ),
    inference(rat,[],[s10796,s2179,s2082,s274,s7364,s8653,s6064,s6398,s1,s8034,s15]) ).

cnf(s10799,plain,
    ( ~ spl0_192
    | ~ spl0_512
    | spl0_392
    | ~ spl0_377
    | ~ spl0_502
    | ~ spl0_250
    | ~ spl0_367
    | ~ spl0_509
    | ~ spl0_195
    | ~ spl0_371
    | ~ spl0_466
    | spl0_206
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_429 ),
    inference(rat,[],[s4121,s319,s171,s5565,s8010,s1839,s3273,s2384,s10796,s2737,s131,s10798,s10321,s9973,s6064,s6398,s1,s8034,s15]) ).

cnf(s10800,plain,
    ( ~ spl0_377
    | ~ spl0_502
    | ~ spl0_367
    | ~ spl0_195
    | spl0_619
    | ~ spl0_383
    | ~ spl0_371
    | ~ spl0_466
    | ~ spl0_511
    | ~ spl0_364
    | spl0_206
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s7390,s4173,s4352,s171,s5757,s8398,s6332,s10219,s2737,s1946,s4070,s2634,s131,s67,s8143,s5288,s1870,s10799,s5324,s2444,s5981,s2524,s9973,s5405,s7382,s4124,s2631,s538,s10730]) ).

cnf(s10801,plain,
    ( ~ spl0_383
    | ~ spl0_371
    | ~ spl0_303
    | spl0_346
    | ~ spl0_511
    | spl0_200
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s3472,s2803,s307,s4258,s2479,s8398,s171,s7677,s2737,s131,s8143,s10181,s3279,s6461,s67,s2444,s10174,s5290,s6747,s6356,s6181,s7383,s10800,s5476,s2631,s10328,s7381,s538,s5405,s9850,s4238,s5295,s7382,s4124,s4122,s2524,s9973,s6064,s6398,s1,s7380,s4866,s8583,s6960,s10465,s15,s4486,s2827,s7365,s2669,s3271,s10322,s7353,s8653,s8034,s10730]) ).

cnf(s10802,plain,
    ( ~ spl0_100
    | ~ spl0_512
    | ~ spl0_377
    | ~ spl0_509
    | ~ spl0_502
    | ~ spl0_195
    | ~ spl0_367
    | ~ spl0_192
    | ~ spl0_371
    | ~ spl0_466
    | spl0_206
    | ~ spl0_20
    | spl0_1
    | ~ spl0_302
    | ~ spl0_429 ),
    inference(rat,[],[s7494,s4121,s171,s5565,s8010,s1839,s3273,s2384,s10796,s2737,s10321,s6064,s6398,s1,s8034,s15,s3011,s10241,s9973]) ).

cnf(s10803,plain,
    ( ~ spl0_377
    | ~ spl0_509
    | ~ spl0_502
    | ~ spl0_195
    | ~ spl0_367
    | ~ spl0_192
    | ~ spl0_371
    | ~ spl0_466
    | spl0_206
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s4158,s4012,s7494,s171,s175,s1839,s2384,s10796,s2082,s274,s7364,s131,s10802,s5324,s5516,s3011,s10241,s8653,s10321,s9973,s6064,s6398,s1,s8034,s15,s7382,s3755]) ).

cnf(s10804,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_511
    | spl0_200
    | ~ spl0_570
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s5289,s6181,s7383,s10803,s5405,s5476,s8562,s7382,s7381,s3755,s4726,s1870,s3494,s10186,s5795,s1724,s10801,s6258,s7146,s4486,s3271,s15,s6964,s2827,s10322,s7380,s4866,s8583,s7353,s7365,s8034,s8653,s10730]) ).

cnf(s10805,plain,
    ( ~ spl0_383
    | ~ spl0_304
    | ~ spl0_428
    | ~ spl0_364
    | ~ spl0_370
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s5999,s7381,s4238,s8571,s7382,s4124,s4122,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10806,plain,
    ( spl0_346
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6181,s7382,s10238,s3755,s1870,s3494,s10685,s5795,s10805,s6258,s4954,s6461,s67,s5712,s5603,s7525,s5892,s6955,s10804,s3204,s7365,s2944,s6960,s6962,s2524,s9973,s5127,s10789,s6139,s10462,s15,s6455,s7380,s4866,s8583,s7353,s10795,s8653,s8034,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10807,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_511
    | spl0_327
    | ~ spl0_319
    | spl0_206
    | spl0_623
    | ~ spl0_443
    | ~ spl0_570
    | spl0_196
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s67,s3279,s5603,s6747,s6356,s7383,s10803,s5476,s7381,s4726,s10181,s1870,s5405,s3494,s7382,s4486,s5795,s3334,s6258,s7146,s2564,s4122,s8566,s3271,s2335,s8454,s15,s8034,s8653,s2524,s9973,s7380,s4866,s10730]) ).

cnf(s10808,plain,
    ( ~ spl0_100
    | spl0_323
    | spl0_195
    | ~ spl0_368
    | ~ spl0_579
    | ~ spl0_362
    | ~ spl0_34
    | spl0_47
    | ~ spl0_532
    | ~ spl0_346
    | ~ spl0_364
    | ~ spl0_201
    | ~ spl0_20
    | ~ spl0_6 ),
    inference(rat,[],[s3691,s307,s4982,s3472,s7351,s6385,s5395,s10226,s171,s7983,s7677,s4930,s10168]) ).

cnf(s10809,plain,
    ( ~ spl0_383
    | ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s113,s175,s324,s2330,s5124,s171,s6872,s3168,s369,s6969,s274,s7364,s1995,s131,s10808,s7506,s6847,s10485,s2952,s5999,s7381,s4216,s7695,s10660,s8571,s5405,s6181,s7383,s7382,s5981,s4124,s4122,s6064,s6398,s1,s5127,s10174,s5168,s7525,s6461,s67,s5603,s5892,s6955,s10807,s10806,s6455,s7380,s4866,s8583,s10322,s7353,s2827,s8653,s8034,s6964,s6139,s6957,s6724,s1208,s10786,s6962,s7337,s10462,s10795,s15,s10789,s9973,s10730]) ).

cnf(s10810,plain,
    ( ~ spl0_14
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6682,s7383,s7381,s3279,s10238,s4726,s10181,s1870,s8494,s4954,s2900,s5795,s8514,s10809,s6461,s67,s5603,s7525,s5892,s6955,s10807,s10806,s6455,s7380,s4866,s8583,s10322,s7353,s2827,s10462,s6964,s10795,s6139,s6962,s6957,s6724,s1208,s10786,s7337,s15,s8034,s8653,s2524,s9973,s10789,s10730]) ).

cnf(s10811,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_511
    | spl0_200
    | ~ spl0_13
    | ~ spl0_345
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s5289,s6181,s7383,s10803,s5476,s7381,s5405,s4726,s7382,s1870,s3334,s10186,s3494,s1786,s5795,s1724,s6258,s10801,s4486,s3271,s8454,s15,s2827,s10322,s7380,s4866,s8583,s7353,s7365,s8034,s8653,s2154,s10730]) ).

cnf(s10812,plain,
    ( spl0_346
    | spl0_200
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6181,s7382,s10238,s3755,s1870,s8494,s10685,s4954,s6461,s67,s5795,s5712,s5603,s10805,s7525,s5892,s6955,s10811,s3204,s7365,s2944,s6960,s6962,s2524,s9973,s5127,s10789,s10,s10810,s10462,s15,s6455,s7380,s4866,s8583,s7353,s8653,s8034,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10813,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_364
    | spl0_61
    | spl0_200
    | ~ spl0_13
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | ~ spl0_421 ),
    inference(rat,[],[s7287,s8763,s2444,s5168,s10415,s8566,s6214,s15,s6964,s10322,s8583,s7353,s8653,s8034,s10730]) ).

cnf(s10814,plain,
    ( ~ spl0_383
    | spl0_200
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s113,s175,s324,s2330,s5124,s171,s6872,s3168,s369,s6969,s274,s7364,s1995,s131,s10808,s7506,s6847,s10485,s2952,s5999,s7381,s4216,s7695,s10660,s8571,s5405,s6181,s7383,s7382,s5981,s4124,s4122,s6064,s6398,s1,s5127,s2827,s6455,s10174,s5168,s7525,s6962,s6461,s67,s5603,s5892,s6955,s10813,s10812,s7380,s4866,s8583,s7353,s8653,s8034,s6957,s6724,s1208,s7417,s10786,s10,s10810,s7337,s10462,s15,s10789,s9973,s10730]) ).

cnf(s10815,plain,
    ( spl0_200
    | ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6550,s4726,s8571,s1870,s7382,s8494,s2145,s4954,s2733,s2900,s538,s5521,s1786,s5795,s1724,s10814,s67,s5603,s7525,s5892,s6955,s10813,s10812,s7380,s4866,s8583,s10322,s7353,s10462,s7417,s6962,s6957,s6724,s1208,s10786,s7337,s15,s8653,s6398,s1,s8034,s10789,s10,s10810,s10730]) ).

cnf(s10816,plain,
    ( spl0_346
    | ~ spl0_200
    | ~ spl0_13
    | ~ spl0_370
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s8571,s7382,s7381,s7380,s6955,s5633,s6257,s4866,s2611,s8465,s2108,s2154,s3953,s3920,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10817,plain,
    ( ~ spl0_20
    | ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s1796,s7695,s5981,s5168,s10710,s7525,s7304,s6955,s3923,s2696,s10816,s3072,s3920,s3953,s681,s10815,s10,s10810,s6962,s6957,s6724,s1208,s10786,s7337,s8034,s8653,s10730]) ).

cnf(s10818,plain,
    ( ~ spl0_370
    | spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s2696,s3920,s6956,s1353,s1649,s5020,s10418,s10448,s6659,s10817,s6957,s6724,s1208,s10786,s7337]) ).

cnf(s10819,plain,
    ( spl0_200
    | ~ spl0_20
    | spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s4237,s5476,s7382,s10191,s6365,s5843,s7380,s6956,s8763,s7525,s5168,s7365,s7381,s2718,s7774,s10228,s10391,s10374,s3276,s4686,s10,s8394,s1982,s3580,s9973,s1688,s7225,s8034,s8653,s10730]) ).

cnf(s10820,plain,
    ( spl0_346
    | spl0_195
    | spl0_417
    | spl0_465
    | spl0_370
    | spl0_1 ),
    inference(rat,[],[s6139,s7925,s10,s8486,s8465,s6960,s15,s5672,s8470,s7225,s8034,s8653,s10730]) ).

cnf(s10821,plain,
    ( ~ spl0_20
    | spl0_370
    | spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s6552,s4256,s3806,s7382,s7304,s2338,s2151,s1638,s10820,s10470,s3921,s8470,s10364,s6468,s3920,s3953,s681,s10819,s7225,s8034,s8653,s10730]) ).

cnf(s10822,plain,
    ( spl0_1
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s7972,s5975,s4686,s2335,s7147,s6956,s1353,s1649,s6139,s5020,s10418,s10,s10448,s10603,s6659,s10821,s7225,s10818,s8653,s8034,s15,s6962,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10823,plain,
    ( ~ spl0_364
    | ~ spl0_323
    | ~ spl0_14
    | spl0_346
    | spl0_383
    | ~ spl0_393
    | ~ spl0_9
    | ~ spl0_37
    | ~ spl0_1
    | ~ spl0_421 ),
    inference(rat,[],[s3003,s6959,s7768,s5520]) ).

cnf(s10824,plain,
    ( ~ spl0_14
    | ~ spl0_303
    | spl0_346
    | spl0_383
    | ~ spl0_10
    | ~ spl0_393
    | ~ spl0_9
    | ~ spl0_37
    | ~ spl0_370
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_421 ),
    inference(rat,[],[s5143,s7382,s2104,s6365,s4866,s7380,s10823,s6173,s8516,s1724,s10730]) ).

cnf(s10825,plain,
    ( ~ spl0_13
    | spl0_346
    | ~ spl0_28
    | ~ spl0_9
    | ~ spl0_37
    | spl0_31
    | ~ spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_421 ),
    inference(rat,[],[s6552,s7768,s4866,s10680,s3003,s2108,s2154,s7383,s10241,s10730]) ).

cnf(s10826,plain,
    ( spl0_346
    | ~ spl0_28
    | spl0_383
    | ~ spl0_10
    | ~ spl0_443
    | ~ spl0_9
    | ~ spl0_37
    | spl0_31
    | ~ spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_421 ),
    inference(rat,[],[s7406,s10680,s7926,s3041,s6955,s10824,s10,s10825,s5126,s1653,s10307,s10359,s1872,s7383,s10241,s10730]) ).

cnf(s10827,plain,
    ( ~ spl0_303
    | spl0_200
    | ~ spl0_370
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4263,s4920,s5518,s7741,s10469,s6455,s6747,s7380,s7382,s2675,s6228,s142,s7381,s158,s10748,s160,s9118,s10,s8936,s10415,s6173,s6214,s3175,s3580,s7383,s10241,s4146,s53,s10413,s7417,s67,s10826,s22,s367,s9372,s1831,s10765,s2827,s2029,s6964,s2352,s7190,s6186,s5126,s9859,s1653,s10307,s10359,s1872,s83,s10822,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10828,plain,
    ( spl0_200
    | ~ spl0_370
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6550,s10452,s9182,s2223,s10,s3755,s92,s7382,s6303,s183,s6181,s10680,s2151,s5720,s4216,s3041,s6955,s10827,s4647,s2651,s10826,s79,s1724,s22,s67,s53,s1831,s367,s3984,s10413,s10765,s9372,s2029,s2827,s7417,s6964,s6957,s6724,s1208,s7337,s5127,s6186,s2352,s7190,s5126,s10241,s9859,s1653,s10307,s10359,s1872,s10786,s83,s10822,s10730]) ).

cnf(s10829,plain,
    ( spl0_346
    | spl0_383
    | ~ spl0_200
    | ~ spl0_370
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4391,s6109,s2669,s10354,s1690,s2079,s2151,s3041,s5894,s7525,s6955,s8516,s10,s10816,s6962,s5127,s5126,s9859,s1653,s10307,s10359,s1872,s10822,s3920,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10830,plain,
    ( ~ spl0_370
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4519,s7381,s2145,s8498,s7382,s10700,s6181,s10,s4216,s1786,s2151,s4647,s10514,s3041,s67,s6955,s5461,s3923,s2696,s2651,s10741,s10829,s1724,s7695,s3072,s3920,s3953,s681,s10828,s7383,s10241,s2352,s9859,s5126,s7190,s1653,s5127,s10307,s10359,s1872,s6962,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10730]) ).

cnf(s10831,plain,
    ( spl0_206
    | ~ spl0_371
    | spl0_386
    | ~ spl0_11
    | ~ spl0_303
    | spl0_38
    | ~ spl0_1
    | spl0_306 ),
    inference(rat,[],[s2151,s5176,s2067,s10663]) ).

cnf(s10832,plain,
    ( ~ spl0_206
    | spl0_386
    | ~ spl0_11
    | ~ spl0_443
    | spl0_370
    | spl0_38
    | spl0_315
    | ~ spl0_421 ),
    inference(rat,[],[s10765,s6182,s7225]) ).

cnf(s10833,plain,
    ( spl0_386
    | ~ spl0_11
    | ~ spl0_443
    | ~ spl0_428
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6552,s4866,s10372,s5144,s3984,s5176,s10600,s10663,s1653,s10832,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10830,s10730]) ).

cnf(s10834,plain,
    ( spl0_206
    | ~ spl0_368
    | ~ spl0_371
    | ~ spl0_303
    | ~ spl0_1
    | spl0_484 ),
    inference(rat,[],[s8927,s2151,s10322,s2067,s1653,s10730]) ).

cnf(s10835,plain,
    ( ~ spl0_11
    | ~ spl0_303
    | spl0_200
    | spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s5289,s6181,s7383,s10245,s6186,s10834,s7380,s7382,s2675,s6228,s7381,s10186,s8556,s5510,s1724,s1831,s10833,s3580,s6957,s6724,s1208,s10786,s7337,s83,s10822,s6960,s6964,s10,s1982,s10830,s10730]) ).

cnf(s10836,plain,
    ( spl0_206
    | spl0_11
    | ~ spl0_303
    | spl0_200
    | spl0_346
    | ~ spl0_20
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_305
    | ~ spl0_421 ),
    inference(rat,[],[s8377,s539,s10240,s2952,s7382,s7381,s5018,s9086,s10397,s10391,s10663,s7380,s10627,s1690,s4866,s2067,s5144,s2151,s4828,s3271,s10322,s1653,s83,s10730]) ).

cnf(s10837,plain,
    ( ~ spl0_303
    | spl0_200
    | spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6552,s10258,s10372,s2151,s3984,s4828,s10483,s3271,s2977,s3276,s4686,s10319,s5297,s5126,s10836,s10835,s6957,s6724,s1208,s10786,s7337,s10822,s10830,s6960,s10730]) ).

cnf(s10838,plain,
    ( spl0_31
    | spl0_206
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_418
    | ~ spl0_304
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s7506,s4961,s8668,s2524,s3003]) ).

cnf(s10839,plain,
    ( ~ spl0_100
    | ~ spl0_414
    | ~ spl0_361
    | ~ spl0_364
    | ~ spl0_10
    | ~ spl0_23
    | spl0_522
    | ~ spl0_371
    | spl0_38 ),
    inference(rat,[],[s3635,s112,s10275,s4452,s2278,s7383,s10240]) ).

cnf(s10840,plain,
    ( spl0_206
    | ~ spl0_11
    | spl0_200
    | spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s272,s6239,s5711,s4125,s5249,s307,s2593,s2282,s6244,s4785,s131,s10839,s8494,s2096,s7382,s5700,s7380,s6181,s6114,s10258,s10240,s9494,s2151,s37,s22,s5176,s10600,s342,s10838,s1870,s4726,s10322,s1653,s6957,s6724,s83,s10418,s1353,s7525,s7337,s6962,s4216,s1208,s10786,s10474,s1688,s3003,s6959,s7926,s6955,s10837,s5127,s4686,s10186,s7381,s5510,s1724,s1831,s10833,s6964,s6960,s10822,s10,s1982,s10830,s10730]) ).

cnf(s10841,plain,
    ( ~ spl0_11
    | spl0_200
    | spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s2151,s4072,s3041,s6186,s10840,s10786,s7525,s7337,s6962,s3003,s6959,s7926,s6955,s10837,s6964,s10822]) ).

cnf(s10842,plain,
    ( spl0_31
    | spl0_206
    | spl0_11
    | ~ spl0_371
    | ~ spl0_418
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s4828,s4961,s8668,s2524,s3003]) ).

cnf(s10843,plain,
    ( ~ spl0_100
    | spl0_522
    | ~ spl0_478
    | ~ spl0_348
    | ~ spl0_361
    | ~ spl0_23
    | ~ spl0_31
    | spl0_466
    | spl0_38 ),
    inference(rat,[],[s7335,s5206,s4205,s3635,s5301,s112,s171,s3000,s2278,s10166,s1946,s7383,s10240,s7380,s10258]) ).

cnf(s10844,plain,
    ( spl0_206
    | spl0_11
    | spl0_493
    | spl0_510
    | ~ spl0_418
    | ~ spl0_304
    | ~ spl0_443
    | spl0_346
    | spl0_38
    | ~ spl0_1 ),
    inference(rat,[],[s305,s162,s7790,s186,s131,s10843,s10186,s6258,s1724,s7380,s1831,s10258,s10397,s5700,s5651,s2151,s7382,s6114,s4828,s6181,s4954,s10240,s5018,s10842,s10322,s1653,s3003,s6959,s7926,s10730]) ).

cnf(s10845,plain,
    ( spl0_200
    | spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6552,s10258,s10372,s2151,s3984,s5010,s10483,s2977,s4686,s5297,s5126,s10844,s10841,s2900,s3003,s6959,s7926,s4216,s7525,s6955,s10837,s6964,s7337,s6962,s1208,s10786,s83,s10822,s6960,s10474,s1688,s10830,s10730]) ).

cnf(s10846,plain,
    ( ~ spl0_371
    | spl0_195
    | spl0_206
    | ~ spl0_198
    | spl0_417
    | spl0_465
    | spl0_58
    | spl0_346
    | spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s10240,s22,s10172,s342,s5305,s10838,s6258,s7525,s5127,s7380,s6955,s4686,s10670,s8523,s10391,s7381,s5510,s1724,s8486,s2828,s6960,s2952,s10,s8465,s10730]) ).

cnf(s10847,plain,
    ( spl0_206
    | ~ spl0_11
    | ~ spl0_200
    | spl0_58
    | spl0_346
    | spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s37,s8476,s4144,s6956,s5975,s6115,s9050,s1690,s10846,s10,s8465,s10364,s6468,s681,s3953,s3920,s2295,s10730]) ).

cnf(s10848,plain,
    ( ~ spl0_371
    | ~ spl0_368
    | ~ spl0_28
    | ~ spl0_9
    | spl0_31
    | ~ spl0_206
    | ~ spl0_11
    | ~ spl0_198
    | spl0_346
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302 ),
    inference(rat,[],[s2675,s7380,s6956,s7723,s3041,s10680,s2828,s3580,s10730]) ).

cnf(s10849,plain,
    ( ~ spl0_11
    | ~ spl0_200
    | ~ spl0_51
    | spl0_58
    | spl0_346
    | spl0_370
    | ~ spl0_20
    | ~ spl0_1
    | spl0_309
    | spl0_315
    | ~ spl0_421 ),
    inference(rat,[],[s10383,s10757,s1831,s6956,s6976,s6115,s8556,s1690,s10848,s10,s7381,s92,s10756,s22,s202,s7383,s367,s79,s5950,s37,s10245,s2351,s6182,s7225,s6186,s10847,s6962,s6957,s6724,s1208,s83,s1688,s6960,s10320,s3953,s2295,s10730]) ).

cnf(s10850,plain,
    ( spl0_206
    | spl0_11
    | ~ spl0_198
    | spl0_417
    | spl0_465
    | ~ spl0_199
    | spl0_58
    | spl0_346
    | spl0_370
    | spl0_38
    | ~ spl0_1
    | ~ spl0_302
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s5144,s4828,s4866,s3271,s7380,s6956,s9086,s6115,s1690,s10,s10846,s8465,s2952,s10364,s10322,s6468,s1653,s10730]) ).

cnf(s10851,plain,
    ( spl0_346
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4828,s5736,s2828,s9050,s10383,s10483,s10352,s2977,s2219,s4686,s5297,s5126,s10850,s10849,s2295,s3920,s3953,s681,s10845,s53,s10413,s10418,s7419,s1353,s6962,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10830,s10730]) ).

cnf(s10852,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | ~ spl0_11
    | ~ spl0_14
    | spl0_206
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s3832,s1724,s7381,s1831,s10834,s10831,s3580,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10830,s10730]) ).

cnf(s10853,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | spl0_200
    | spl0_206
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s1905,s4686,s10838,s10663,s342,s22,s5461,s7525,s6955,s10852,s7337,s6962,s83,s10822,s10851,s10,s1982,s10830,s10418,s1649,s10786,s10730]) ).

cnf(s10854,plain,
    ( ~ spl0_11
    | spl0_200
    | spl0_206
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s5476,s4237,s7382,s10191,s5461,s10397,s10383,s22,s7381,s5176,s10600,s342,s10391,s10663,s1831,s6976,s8556,s10853,s1208,s83,s10822,s1688,s10851,s10,s1982,s10830,s10418,s1649,s10786,s10730]) ).

cnf(s10855,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | spl0_11
    | spl0_206
    | ~ spl0_1 ),
    inference(rat,[],[s4828,s2151,s3271,s2067,s10322,s1653,s10730]) ).

cnf(s10856,plain,
    ( ~ spl0_371
    | spl0_11
    | spl0_206
    | ~ spl0_346
    | ~ spl0_20
    | ~ spl0_1
    | ~ spl0_429
    | ~ spl0_421 ),
    inference(rat,[],[s5018,s10842,s5461,s7525,s6955,s10855,s83]) ).

cnf(s10857,plain,
    ( spl0_200
    | spl0_206
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s6552,s6855,s4866,s7383,s5144,s10240,s5461,s4828,s5018,s2651,s10663,s10668,s10627,s10856,s10854,s6962,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10851,s1653,s10730]) ).

cnf(s10858,plain,
    ( spl0_206
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s7243,s10852,s6926,s10,s9050,s5127,s1832,s1831,s2219,s10663,s2353,s5176,s4828,s2151,s1638,s10364,s4860,s6468,s3920,s681,s10857,s6957,s6724,s1208,s10786,s7337,s83,s10822,s10830,s10851,s10730]) ).

cnf(s10859,plain,
    ( ~ spl0_11
    | spl0_200
    | ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s4920,s4263,s142,s3273,s1910,s175,s5288,s160,s9118,s4452,s6455,s5295,s8936,s7380,s7382,s10307,s2675,s6228,s8927,s6956,s3041,s10680,s7381,s8556,s5510,s2669,s1724,s22,s67,s2651,s1831,s367,s2351,s10832,s6182,s6186,s3580,s6957,s6724,s1208,s7337,s83,s10851,s37,s5950,s10483,s2977,s5297,s10858,s10822,s6964,s10,s1982,s10830,s53,s10413,s7417,s10786,s10730]) ).

cnf(s10860,plain,
    ( spl0_11
    | spl0_4
    | ~ spl0_206
    | ~ spl0_346
    | ~ spl0_302 ),
    inference(rat,[],[s4828,s2151,s4863,s6306,s3276,s5126,s37]) ).

cnf(s10861,plain,
    ( ~ spl0_20
    | spl0_315
    | spl0_306 ),
    inference(rat,[],[s8927,s10322,s10680,s10759,s9050,s6197,s6956,s3921,s10469,s4216,s6747,s6181,s7382,s2145,s4519,s7381,s4647,s10756,s22,s67,s7383,s2651,s2219,s3953,s681,s367,s10245,s2351,s10859,s6182,s6186,s10860,s5950,s37,s10483,s2977,s5297,s10858,s10851,s1688,s10830,s83,s6962,s3580,s6957,s6724,s1208,s10786,s7337,s10822,s10730]) ).

cnf(s10862,plain,
    ( spl0_315
    | spl0_306 ),
    inference(rat,[],[s4256,s10470,s6343,s3011,s10181,s1870,s8875,s2151,s6306,s37,s10241,s7225,s2492,s7380,s9859,s5126,s7382,s2675,s10834,s2145,s3003,s7381,s9465,s8556,s5510,s1724,s1688,s5975,s4860,s2696,s2335,s5503,s3920,s681,s6956,s1353,s1649,s5020,s10418,s10,s10448,s10603,s6659,s10861,s10822,s3580,s6957,s6724,s1208,s10786,s7337,s10730]) ).

cnf(s10863,plain,
    ( ~ spl0_303
    | spl0_327
    | ~ spl0_468
    | spl0_306 ),
    inference(rat,[],[s6552,s8763,s5208,s2670,s7337,s10862,s10730]) ).

cnf(s10864,plain,
    ( spl0_346
    | spl0_200
    | spl0_206
    | spl0_1
    | spl0_306 ),
    inference(rat,[],[s6552,s8763,s4866,s3769,s6957,s7764,s6955,s10863,s5144,s7365,s2944,s6960,s7337,s8034,s8653,s1653,s2718,s10366,s6113,s10862,s10730]) ).

cnf(s10865,plain,
    ( spl0_387
    | spl0_200
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | ~ spl0_315 ),
    inference(rat,[],[s4686,s8394,s10663,s5573,s8426,s9973,s10730]) ).

cnf(s10866,plain,
    ( spl0_196
    | ~ spl0_348
    | ~ spl0_501
    | ~ spl0_304
    | spl0_623
    | spl0_200
    | ~ spl0_319
    | ~ spl0_487
    | ~ spl0_4
    | ~ spl0_421 ),
    inference(rat,[],[s7681,s1208,s3769,s2002,s6957,s67,s5016,s5754,s5690]) ).

cnf(s10867,plain,
    ( ~ spl0_196
    | spl0_206
    | spl0_31
    | ~ spl0_315 ),
    inference(rat,[],[s10663,s2721,s4686,s10730]) ).

cnf(s10868,plain,
    ( spl0_200
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s8723,s1208,s7506,s2002,s7266,s2151,s67,s10866,s5754,s5892,s6955,s2335,s10865,s10864,s10462,s7337,s15,s8034,s8653,s6113,s10322,s1653,s5127,s10867,s9973,s10862,s10730]) ).

cnf(s10869,plain,
    ( ~ spl0_302
    | spl0_327
    | ~ spl0_348
    | ~ spl0_487
    | ~ spl0_421 ),
    inference(rat,[],[s6552,s8763,s4866,s3769,s2718,s10366,s10730]) ).

cnf(s10870,plain,
    ( spl0_418
    | ~ spl0_360
    | ~ spl0_304
    | spl0_484
    | spl0_47
    | ~ spl0_345
    | ~ spl0_468
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s8598,s7381,s5509,s10391,s5617,s4868,s4685,s6961,s7380,s7681,s8763,s15,s8034]) ).

cnf(s10871,plain,
    ( spl0_346
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6455,s10351,s7380,s67,s10673,s4954,s2680,s4961,s10870,s5609,s6101,s6957,s10869,s6955,s10863,s3204,s5144,s10362,s7365,s2944,s6960,s7337,s15,s8034,s8653,s2524,s1653,s2718,s10366,s6113,s5127,s10867,s9973,s1212,s10862,s10364,s6468,s681,s10868,s10730]) ).

cnf(s10872,plain,
    ( spl0_323
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s3755,s5288,s7382,s6455,s6747,s7380,s7383,s67,s10673,s10241,s4954,s2680,s4072,s10870,s6955,s9477,s2766,s3204,s5144,s10362,s2151,s7337,s2524,s1653,s2718,s10366,s6113,s5127,s10867,s9973,s1212,s10862,s10466,s10364,s6468,s681,s10868,s15,s10871,s10730]) ).

cnf(s10873,plain,
    ( ~ spl0_303
    | ~ spl0_346
    | ~ spl0_200
    | spl0_206
    | spl0_1 ),
    inference(rat,[],[s8470,s5975,s8583,s2335,s6283,s8034,s8653,s1653,s10364,s6468,s681,s10730]) ).

cnf(s10874,plain,
    ( spl0_418
    | ~ spl0_360
    | ~ spl0_304
    | spl0_195
    | spl0_47
    | ~ spl0_345
    | ~ spl0_468
    | spl0_206
    | spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s8470,s5617,s10658,s6961,s10870,s7681,s10730]) ).

cnf(s10875,plain,
    ( spl0_206
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s4519,s2145,s6957,s7381,s7382,s5707,s8357,s6747,s3967,s7383,s1208,s67,s10241,s2012,s4954,s2680,s10874,s6926,s5892,s6955,s10873,s2900,s7304,s10872,s10871,s10364,s6468,s1212,s681,s10868,s5127,s10867,s2718,s10366,s6113,s7337,s10862,s8034,s8653,s9973,s10730]) ).

cnf(s10876,plain,
    ( spl0_360
    | spl0_196
    | ~ spl0_303
    | spl0_346
    | ~ spl0_206
    | spl0_1 ),
    inference(rat,[],[s6139,s10,s7146,s2154,s2611,s3920,s6957,s7601,s5609,s2827,s7225,s8034,s8653,s5127]) ).

cnf(s10877,plain,
    ( ~ spl0_302
    | ~ spl0_303
    | spl0_346
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_200
    | spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s10792,s6139,s10,s2154,s2611,s3920,s9973,s6960]) ).

cnf(s10878,plain,
    ( spl0_327
    | spl0_418
    | ~ spl0_38
    | ~ spl0_303
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6550,s6257,s10452,s10466,s2223,s5288,s67,s1724,s10689,s6455,s3011,s3921,s7380,s2718,s5208,s10863,s7337,s15,s9973,s3953,s5617,s7225,s1212,s2827,s10875,s8034,s8653,s5127,s2721,s10862,s10730]) ).

cnf(s10879,plain,
    ( ~ spl0_38
    | ~ spl0_303
    | spl0_346
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s10356,s6139,s10,s2104,s2108,s10878,s2680,s10876,s2721,s7337,s9973,s7225,s1212,s2827,s10875,s10862,s2944,s8034,s8653]) ).

cnf(s10880,plain,
    ( ~ spl0_303
    | spl0_346
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6552,s5289,s4685,s10186,s10876,s1724,s4686,s7695,s10626,s7383,s10241,s10879,s6396,s6957,s10877,s7337,s9973,s3953,s1208,s5617,s7225,s1212,s2827,s10875,s10862,s2944,s8034,s8653,s10730]) ).

cnf(s10881,plain,
    ( ~ spl0_383
    | spl0_417
    | ~ spl0_371
    | ~ spl0_428
    | ~ spl0_224
    | spl0_465 ),
    inference(rat,[],[s4284,s8486,s10730]) ).

cnf(s10882,plain,
    ( ~ spl0_38
    | ~ spl0_466
    | ~ spl0_432
    | ~ spl0_304
    | ~ spl0_428
    | ~ spl0_305
    | ~ spl0_370
    | ~ spl0_200
    | ~ spl0_206
    | ~ spl0_4
    | ~ spl0_19
    | spl0_306 ),
    inference(rat,[],[s6257,s7381,s4256,s8571,s10470,s7382,s3011,s3755,s1870,s8494,s5795,s10881,s7380,s4866,s2104,s3920,s6959,s6957,s4391,s7601,s6109,s5609,s2669,s5127,s2680,s2721,s10862,s3953,s3072,s681,s7681,s7337,s10730]) ).

cnf(s10883,plain,
    ( spl0_346
    | spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6552,s4685,s3635,s6872,s10186,s5127,s6969,s1724,s4686,s2940,s7695,s10626,s5000,s3986,s112,s7383,s160,s159,s10241,s10882,s4072,s7681,s5894,s6955,s10880,s53,s4930,s10413,s7365,s2944,s7419,s6960,s7337,s15,s2524,s9973,s3953,s8509,s1208,s5617,s7225,s1212,s2827,s10875,s8034,s8653,s10862,s10730]) ).

cnf(s10884,plain,
    ( ~ spl0_383
    | spl0_465
    | spl0_47
    | ~ spl0_370
    | ~ spl0_20 ),
    inference(rat,[],[s7383,s5981,s7695,s1208,s5617]) ).

cnf(s10885,plain,
    ( ~ spl0_38
    | ~ spl0_607
    | ~ spl0_418
    | ~ spl0_315 ),
    inference(rat,[],[s5609,s5127,s2680,s2721]) ).

cnf(s10886,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s5153,s3635,s7389,s7380,s2488,s8785,s4484,s10626,s175,s5000,s112,s171,s7383,s160,s159,s10241,s10885,s8010,s10159,s6101,s6957,s3923,s10710,s10884,s4072,s53,s4930,s2151,s7681,s5025,s3041,s6955,s2335,s10883,s1208,s5617,s3072,s8509,s5573,s3953,s1212,s681,s7225,s2827,s10875,s6064,s2524,s6398,s9973,s8653,s8034,s1,s15,s7337,s10862,s10730]) ).

cnf(s10887,plain,
    ( ~ spl0_303
    | spl0_484
    | spl0_206
    | spl0_38
    | spl0_306 ),
    inference(rat,[],[s8357,s1208,s7383,s7381,s2012,s10241,s8927,s5176,s4828,s5144,s10863,s3271,s10322,s1653,s2718,s10366,s6113,s10862,s10730]) ).

cnf(s10888,plain,
    ( spl0_31
    | ~ spl0_371
    | ~ spl0_304
    | spl0_206
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s7681,s10838,s1208,s5127,s2012,s10867,s7337,s10862,s83,s10886]) ).

cnf(s10889,plain,
    ( spl0_323
    | ~ spl0_302
    | ~ spl0_487
    | ~ spl0_201
    | ~ spl0_421 ),
    inference(rat,[],[s10869,s5144,s2151]) ).

cnf(s10890,plain,
    ( ~ spl0_443
    | spl0_346
    | spl0_206
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s4828,s8723,s5176,s1208,s10889,s2002,s22,s342,s10888,s6959,s7926,s6955,s10887,s3580,s3605,s6957,s10282,s10502,s7337,s83,s6113,s10862,s1688,s1872,s10322,s1653,s10886,s10418,s1353,s10730]) ).

cnf(s10891,plain,
    ( spl0_346
    | spl0_206
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6552,s10670,s10823,s10680,s7381,s10,s9050,s1724,s8357,s1832,s1831,s1208,s7383,s10663,s2012,s10241,s2353,s2524,s342,s22,s10364,s5579,s6468,s2295,s681,s2509,s10890,s10418,s1353,s7337,s83,s10366,s6113,s10862,s1872,s10322,s1653,s10886,s10730]) ).

cnf(s10892,plain,
    ( ~ spl0_303
    | spl0_206
    | spl0_38
    | spl0_306 ),
    inference(rat,[],[s2105,s7381,s7382,s8357,s6747,s1208,s7383,s2012,s10241,s5176,s4828,s5144,s10863,s3271,s7337,s10322,s1653,s2718,s10366,s6113,s10862,s10730]) ).

cnf(s10893,plain,
    ( spl0_31
    | spl0_206
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6593,s10889,s6101,s7506,s5609,s5127,s2651,s10867,s2353,s7337,s1653,s6113,s10862,s10891,s6955,s10892,s83,s10886]) ).

cnf(s10894,plain,
    ( ~ spl0_371
    | ~ spl0_348
    | ~ spl0_31
    | ~ spl0_346
    | ~ spl0_468
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s5461,s5018,s8763,s10600,s7380,s6306,s10249,s3003]) ).

cnf(s10895,plain,
    ( spl0_323
    | ~ spl0_31
    | ~ spl0_304
    | ~ spl0_346
    | ~ spl0_487
    | spl0_206
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s10364,s10458,s6468,s8479,s681,s10,s2509,s6105,s5027,s10894,s6101,s6957,s10889,s2151,s2718,s10366,s1688,s1872,s10322,s1653,s10730]) ).

cnf(s10896,plain,
    ( spl0_206
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s7681,s5461,s1208,s5018,s10785,s5176,s10895,s10893,s6955,s10892,s10891,s6113,s7337,s10862,s83,s10886]) ).

cnf(s10897,plain,
    ( spl0_200
    | spl0_323
    | ~ spl0_303
    | spl0_31
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s10824,s6957,s8556,s1204,s10680,s10,s22,s92,s367,s183,s5950,s37,s10502,s2827,s6964,s7337,s2524,s2353,s79,s53,s10413,s7419,s5720,s5126,s4686,s10896,s1724,s1831,s10626,s7383,s10241,s83,s10886,s10730]) ).

cnf(s10898,plain,
    ( spl0_323
    | ~ spl0_303
    | spl0_31
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s2675,s7381,s7380,s10452,s5617,s5520,s2223,s8556,s1690,s10735,s10680,s10,s22,s67,s92,s5579,s202,s2295,s10320,s1212,s10897,s1724,s5127,s1831,s4686,s10626,s10362,s2151,s7337,s10862,s79,s53,s10413,s7419,s7383,s10241,s83,s10886,s10730]) ).

cnf(s10899,plain,
    ( ~ spl0_11
    | spl0_200
    | ~ spl0_323
    | ~ spl0_303
    | spl0_31
    | spl0_346
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s2675,s7381,s7380,s5510,s10823,s10,s1982,s10826,s1724,s22,s3580,s1831,s367,s6957,s10765,s5950,s37,s3021,s2944,s2524,s2353,s7383,s10241,s83,s6964,s10730]) ).

cnf(s10900,plain,
    ( spl0_11
    | ~ spl0_323
    | ~ spl0_303
    | ~ spl0_206 ),
    inference(rat,[],[s3271,s10319,s4828,s5126,s10730]) ).

cnf(s10901,plain,
    ( ~ spl0_371
    | ~ spl0_14
    | ~ spl0_28
    | spl0_417
    | ~ spl0_198
    | ~ spl0_323
    | ~ spl0_303
    | ~ spl0_9
    | spl0_31
    | spl0_346
    | ~ spl0_206
    | spl0_38
    | ~ spl0_1
    | ~ spl0_421 ),
    inference(rat,[],[s3832,s1724,s7381,s10624,s10848,s2828,s2611,s7383,s10241,s5950,s2944,s6957,s3021,s10900,s10730]) ).

cnf(s10902,plain,
    ( ~ spl0_370
    | ~ spl0_14
    | spl0_465
    | spl0_47
    | ~ spl0_302
    | ~ spl0_10
    | ~ spl0_303
    | spl0_31
    | spl0_346
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s10884,s10824,s2524,s2353,s7383,s10241,s83]) ).

cnf(s10903,plain,
    ( ~ spl0_303
    | spl0_31
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s9191,s6333,s10567,s3921,s6976,s7381,s8556,s10759,s10902,s10901,s10,s92,s22,s2750,s5127,s202,s3920,s367,s5900,s2219,s2295,s3953,s10320,s1212,s6957,s5950,s37,s10899,s3021,s2944,s10900,s10898,s7337,s10862,s10896,s2353,s79,s53,s10413,s7419,s7383,s10241,s83,s10886,s10730]) ).

cnf(s10904,plain,
    ( spl0_200
    | spl0_323
    | ~ spl0_304
    | spl0_31
    | spl0_346
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_20 ),
    inference(rat,[],[s22,s10680,s367,s6959,s5950,s7926,s2827,s6964,s5126,s4686,s10626,s7383,s10241,s83,s10730]) ).

cnf(s10905,plain,
    ( spl0_323
    | ~ spl0_304
    | ~ spl0_67
    | spl0_31
    | spl0_346
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_315 ),
    inference(rat,[],[s4391,s6109,s2669,s10354,s1690,s10680,s10,s22,s92,s5579,s202,s2295,s10320,s10904,s5127,s1831,s4686,s10626,s7383,s10241,s83,s5894,s10730]) ).

cnf(s10906,plain,
    ( spl0_31
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s7860,s3580,s3003,s6957,s9489,s7764,s1872,s2219,s10319,s4828,s5126,s3041,s10905,s6955,s10903,s7383,s79,s10241,s2353,s2524,s7337,s10862,s83,s10886,s10896,s6960,s53,s10413,s7419,s10730]) ).

cnf(s10907,plain,
    ( ~ spl0_371
    | ~ spl0_100
    | ~ spl0_17
    | ~ spl0_10
    | ~ spl0_246
    | spl0_323
    | ~ spl0_23
    | ~ spl0_31
    | spl0_346
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s6553,s10843,s10468,s10186,s6197,s1724,s2952,s1831,s5305,s10372,s6258,s7380,s10249,s6080,s3003,s6960,s10172,s10240,s83,s2151]) ).

cnf(s10908,plain,
    ( ~ spl0_370
    | ~ spl0_302
    | spl0_371
    | ~ spl0_345
    | spl0_417
    | ~ spl0_17
    | ~ spl0_246
    | spl0_323
    | ~ spl0_303
    | ~ spl0_443
    | ~ spl0_393
    | spl0_346
    | ~ spl0_1
    | ~ spl0_315 ),
    inference(rat,[],[s5578,s7380,s6333,s10372,s9191,s10567,s1831,s7381,s8516,s9770,s6960,s10,s2154,s10730]) ).

cnf(s10909,plain,
    ( ~ spl0_302
    | spl0_371
    | ~ spl0_345
    | spl0_4
    | spl0_323
    | ~ spl0_303
    | ~ spl0_443
    | ~ spl0_393
    | spl0_346
    | ~ spl0_1
    | spl0_306 ),
    inference(rat,[],[s5578,s8919,s7380,s10383,s10372,s1831,s6976,s8556,s10908,s7337,s10862,s6960,s3984,s5950,s6173,s37,s10,s2154,s10730]) ).

cnf(s10910,plain,
    ( ~ spl0_11
    | spl0_323
    | ~ spl0_303
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s10695,s5999,s7381,s5573,s6356,s6963,s5707,s10282,s6957,s10909,s10187,s10907,s5127,s10359,s131,s5950,s37,s3984,s2002,s6794,s10600,s4326,s7337,s10896,s6960,s7383,s10240,s83,s10502,s6964,s2295,s5579,s22,s342,s10906,s10418,s1353,s10862,s10886,s10730]) ).

cnf(s10911,plain,
    ( spl0_323
    | ~ spl0_303
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s5578,s6747,s7380,s7382,s6855,s10397,s3772,s4686,s5126,s10910,s7337,s10862,s10896,s7383,s10240,s22,s342,s10906,s10418,s1353,s83,s10886,s10730]) ).

cnf(s10912,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s10900,s6791,s10911,s10896,s10906]) ).

cnf(s10913,plain,
    ( spl0_323
    | spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s10839,s131,s2096,s10186,s2029,s6794,s1724,s5126,s1831,s4686,s10397,s7382,s6747,s5428,s539,s2952,s2750,s5305,s3769,s6258,s6855,s9342,s7380,s10249,s2151,s7337,s10896,s7383,s10172,s10240,s83,s6957,s7764,s6960,s6959,s7926,s6955,s10912,s6964,s2295,s5579,s22,s342,s10906,s10418,s1353,s10862,s10886,s10730]) ).

cnf(s10914,plain,
    ( spl0_346
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s8723,s10319,s1208,s4828,s5126,s10034,s6791,s10913,s3605,s6957,s7764,s6955,s10912,s2295,s5579,s22,s342,s10906,s10418,s1353,s6960,s7337,s10862,s10886,s10896,s10730]) ).

cnf(s10915,plain,
    ( spl0_370
    | ~ spl0_11
    | spl0_383
    | ~ spl0_393
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s6553,s6747,s2143,s10469,s10328,s6197,s538,s9050,s3003,s6306,s37,s7225,s10730]) ).

cnf(s10916,plain,
    ( spl0_200
    | ~ spl0_370
    | ~ spl0_386
    | spl0_31
    | ~ spl0_348
    | ~ spl0_346
    | ~ spl0_206
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_315 ),
    inference(rat,[],[s9182,s7381,s10,s8562,s1832,s3003,s10529,s6306,s3984,s2029,s2827,s6964,s2353,s5126,s4686,s1724,s1831,s10307,s1872,s10730]) ).

cnf(s10917,plain,
    ( spl0_31
    | spl0_323
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6550,s4519,s8498,s2145,s10735,s7382,s10,s6181,s1832,s4216,s10514,s4647,s67,s1208,s5579,s5617,s2295,s1212,s681,s10916,s6955,s2335,s5573,s10915,s6957,s7601,s5609,s1724,s5126,s5127,s1831,s4686,s10626,s7383,s2651,s10241,s2353,s7337,s10862,s83,s10886,s10896,s10914,s2151,s10730]) ).

cnf(s10918,plain,
    ( ~ spl0_383
    | ~ spl0_11
    | spl0_323
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s5461,s67,s4237,s6219,s5405,s6185,s10485,s3502,s2952,s7382,s1870,s10383,s10397,s10567,s1831,s7337,s5950,s8640,s4860,s6173,s37,s10600,s10917,s10914,s10886]) ).

cnf(s10919,plain,
    ( ~ spl0_13
    | ~ spl0_11
    | ~ spl0_31
    | ~ spl0_206
    | ~ spl0_20 ),
    inference(rat,[],[s10314,s6921,s37,s10600]) ).

cnf(s10920,plain,
    ( ~ spl0_11
    | spl0_323
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6550,s9182,s8562,s6964,s5843,s1212,s7380,s5617,s5520,s8556,s10,s10919,s1724,s10918,s1690,s8640,s10600,s4326,s10862,s10896,s10914,s10362,s10917,s10730]) ).

cnf(s10921,plain,
    ( spl0_323
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s6552,s5578,s6855,s6747,s6956,s7382,s7383,s7681,s10397,s10240,s5461,s4686,s1208,s5018,s5126,s10785,s10920,s10917,s7337,s10862,s83,s10886,s10896,s10914,s10730]) ).

cnf(s10922,plain,
    ( ~ spl0_368
    | ~ spl0_51
    | ~ spl0_10
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_11
    | spl0_31
    | ~ spl0_323
    | ~ spl0_1
    | ~ spl0_20
    | ~ spl0_421 ),
    inference(rat,[],[s4920,s142,s4263,s158,s5518,s6197,s160,s9118,s10469,s8936,s6747,s10307,s7380,s7382,s8927,s2675,s6228,s7383,s10241,s83,s3580,s10730]) ).

cnf(s10923,plain,
    ( spl0_31
    | ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s202,s10320,s92,s1982,s10,s3832,s7381,s10922,s79,s53,s2773,s1724,s67,s10624,s367,s5950,s37,s7225,s5573,s2335,s6957,s6956,s3021,s3041,s4828,s7383,s2651,s10241,s2353,s7337,s10862,s83,s10886,s10896,s10914,s10921,s10730]) ).

cnf(s10924,plain,
    ( ~ spl0_20
    | spl0_306 ),
    inference(rat,[],[s7681,s6955,s1208,s5461,s10900,s10785,s7868,s6791,s10923,s10921,s10914,s10896,s10886,s7337]) ).

cnf(s10925,plain,
    ( spl0_206
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s10397,s7382,s6861,s5609,s2492,s7383,s6101,s6240,s2012,s6955,s5024,s10863,s6957,s2718,s5127,s10889,s10366,s5144,s10867,s1997,s6113,s1653,s7337,s10862,s10448,s6659,s10924,s10730]) ).

cnf(s10926,plain,
    ( ~ spl0_303
    | ~ spl0_200
    | ~ spl0_370
    | spl0_1
    | spl0_323
    | ~ spl0_346 ),
    inference(rat,[],[s10710,s2104,s4122,s2766,s2335,s10730]) ).

cnf(s10927,plain,
    ( ~ spl0_371
    | ~ spl0_38
    | spl0_196
    | ~ spl0_224
    | spl0_184
    | ~ spl0_222
    | ~ spl0_6
    | ~ spl0_200
    | ~ spl0_23
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s6646,s4173,s6311,s1731,s5405,s7587,s4237,s2492,s6969,s7334,s7382,s8010,s10219,s10397,s10258,s4685,s7380,s10689,s10159,s5609,s10885,s7601,s6957,s3923,s7337,s10862,s1353,s10418,s10448,s6659,s10924,s2151,s10925,s5127]) ).

cnf(s10928,plain,
    ( ~ spl0_38
    | spl0_196
    | ~ spl0_224
    | spl0_184
    | ~ spl0_222
    | ~ spl0_200
    | ~ spl0_570
    | ~ spl0_23
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s4685,s10397,s7380,s7382,s10689,s4249,s2680,s10742,s7146,s1690,s10927,s7337,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10924,s10362,s4052]) ).

cnf(s10929,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s6552,s8785,s7601,s3059,s10626,s6957,s7383,s1639,s10241,s458,s10928,s3780,s6961,s4820,s6955,s10926,s3072,s2633,s1946,s681,s8509,s2827,s4489,s6139,s9571,s8034,s15,s10862,s6393,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2524,s10925,s10730]) ).

cnf(s10930,plain,
    ( ~ spl0_370
    | spl0_196
    | ~ spl0_303
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_206
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s5609,s7601,s10354,s6957,s2104,s3920,s2766,s2029,s6173,s10307,s4122,s2696,s1872,s10,s10603,s2335,s1353,s10418,s10448,s6659,s10924,s5127,s10730]) ).

cnf(s10931,plain,
    ( spl0_370
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_206
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s4249,s7382,s10383,s10397,s1831,s6976,s8556,s1690,s3003,s6306,s7225,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2151,s10730]) ).

cnf(s10932,plain,
    ( ~ spl0_303
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_206
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s10930,s3199,s1353,s10418,s10448,s6659,s10924,s10931]) ).

cnf(s10933,plain,
    ( spl0_383
    | spl0_459
    | spl0_371
    | ~ spl0_443
    | spl0_484
    | spl0_306 ),
    inference(rat,[],[s5522,s5843,s7381,s7380,s9182,s5520,s10,s10603,s1353,s10418,s10448,s6659,s10924,s1690,s10730]) ).

cnf(s10934,plain,
    ( spl0_200
    | ~ spl0_38
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_206
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s4249,s7382,s10383,s4124,s1831,s10933,s3501,s4391,s6957,s2669,s1690,s9685,s4860,s9965,s3003,s6173,s6306,s2029,s2827,s6964,s10508,s1353,s10418,s10448,s6659,s10924,s2151,s10362,s10307,s6955,s10932,s5127,s10359,s1872,s10931,s10730]) ).

cnf(s10935,plain,
    ( ~ spl0_371
    | ~ spl0_224
    | ~ spl0_200
    | spl0_196
    | ~ spl0_1
    | ~ spl0_206
    | spl0_323
    | ~ spl0_346 ),
    inference(rat,[],[s7601,s8479,s6957,s5651,s3923]) ).

cnf(s10936,plain,
    ( ~ spl0_200
    | ~ spl0_11
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s2145,s6957,s4519,s7601,s7381,s5609,s8498,s10354,s10735,s1724,s1831,s10397,s7382,s4249,s10742,s1690,s10935,s3072,s681,s7337,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2151,s10362,s5127,s10359,s1872,s10931,s10925,s10929,s10730]) ).

cnf(s10937,plain,
    ( ~ spl0_11
    | spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s4391,s3501,s2669,s1690,s10933,s10735,s4860,s3003,s1831,s6173,s6306,s10765,s10934,s2029,s2827,s6964,s10936,s5127,s6955,s10307,s10359,s10932,s1872,s10931,s10929,s7337,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2151,s10362,s10925,s10730]) ).

cnf(s10938,plain,
    ( spl0_386
    | spl0_31
    | spl0_323
    | spl0_38 ),
    inference(rat,[],[s7383,s10241,s10626]) ).

cnf(s10939,plain,
    ( spl0_31
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s10938,s2721,s4686,s5126,s10937,s10925,s10862,s10730]) ).

cnf(s10940,plain,
    ( spl0_206
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s6306,s10600,s3003,s10785,s6105,s5024,s1688,s6957,s1872,s10889,s10322,s6113,s1653,s7337,s10862,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2151,s9973,s10939,s10730]) ).

cnf(s10941,plain,
    ( ~ spl0_199
    | ~ spl0_302
    | spl0_537
    | ~ spl0_345
    | ~ spl0_308
    | ~ spl0_466
    | ~ spl0_370
    | spl0_484
    | spl0_306 ),
    inference(rat,[],[s4519,s2145,s7381,s7382,s10749,s4249,s10742,s3072,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10924]) ).

cnf(s10942,plain,
    ( spl0_383
    | ~ spl0_11
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s3501,s10933,s10700,s6964,s681,s10941,s6957,s7601,s5609,s4391,s2669,s4860,s6173,s6955,s10932,s5127,s10075,s4301,s10508,s10,s10603,s1690,s3003,s6306,s10600,s1353,s10418,s10448,s6659,s10924,s2151,s10931,s9973,s10939,s10940,s10362]) ).

cnf(s10943,plain,
    ( ~ spl0_11
    | spl0_323
    | spl0_306 ),
    inference(rat,[],[s4249,s7382,s10383,s4124,s1831,s10942,s6957,s7601,s5609,s5127,s1690,s4860,s10075,s3003,s6173,s6306,s10931,s4301,s10600,s10508,s10,s10603,s1353,s10418,s10448,s6659,s10924,s2151,s9973,s10939,s10940,s10730]) ).

cnf(s10944,plain,
    ( spl0_323
    | spl0_306 ),
    inference(rat,[],[s7243,s10048,s5020,s1649,s1208,s10785,s10943,s9973,s10939,s1353,s10418,s10448,s6659,s10924]) ).

cnf(s10945,plain,
    ( spl0_206
    | spl0_1
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s6592,s5020,s10863,s1208,s2104,s2718,s2002,s7147,s10366,s10322,s10867,s6113,s1653,s10862,s10448,s6659,s9571,s6139,s6009,s15,s10,s10603,s10924,s10944,s10730]) ).

cnf(s10946,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s2827,s7671,s10945,s8034,s15,s10,s10603,s10924,s10944]) ).

cnf(s10947,plain,
    ( spl0_200
    | spl0_607
    | ~ spl0_303
    | ~ spl0_313
    | spl0_392
    | spl0_320
    | spl0_306 ),
    inference(rat,[],[s2678,s7380,s8919,s3059,s3580,s7383,s6957,s6240,s8918,s1649,s6964,s7337,s1353,s10418,s10448,s6659,s10924,s10730]) ).

cnf(s10948,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | ~ spl0_345
    | spl0_320
    | spl0_206
    | ~ spl0_1
    | spl0_306 ),
    inference(rat,[],[s10834,s3580,s7381,s6957,s2915,s5024,s1208,s10774,s10947,s5609,s3271,s7337,s4351,s10,s10603,s1353,s10418,s10448,s10366,s6113,s10862,s1688,s10189,s1872,s10322,s1653,s6659,s10924,s10730]) ).

cnf(s10949,plain,
    ( ~ spl0_371
    | spl0_206
    | ~ spl0_1
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s2012,s6961,s10641,s4820,s6955,s10948,s3003,s7337,s10448,s6659,s10924,s10944,s1997,s5127,s10867,s10862,s10730]) ).

cnf(s10950,plain,
    ( spl0_206
    | ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s5609,s10947,s3271,s5975,s4144,s6956,s6976,s37,s6115,s8556,s7304,s1690,s10949,s1688,s1872,s5127,s10366,s10322,s10867,s1997,s6113,s1653,s10862,s10,s10603,s10924,s10944,s10946,s10730]) ).

cnf(s10951,plain,
    ( ~ spl0_370
    | ~ spl0_371
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_1
    | ~ spl0_11
    | spl0_306 ),
    inference(rat,[],[s6550,s9462,s10748,s7380,s2029,s1649,s6964,s10489,s2670,s4866,s6283,s10307,s4122,s2104,s1872,s10862,s10,s10603,s2335,s1353,s10418,s10448,s6659,s10924,s10730]) ).

cnf(s10952,plain,
    ( ~ spl0_383
    | ~ spl0_345
    | spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s5574,s307,s171,s3513,s4173,s1731,s4352,s5757,s10178,s6332,s4237,s10219,s7382,s2633,s4452,s1946,s6365,s7579,s7381,s7380,s3706,s1996,s10863,s5708,s8875,s10947,s2718,s1798,s1870,s10374,s10624,s10567,s7992,s10352,s1831,s7337,s4351,s10862,s2524,s1688,s3984,s5950,s1649,s5609,s4863,s37,s7225,s10951,s6957,s3021,s6956,s3041,s10944,s10950,s1353,s10418,s10448,s6659,s10924,s3003,s10946,s10730]) ).

cnf(s10953,plain,
    ( ~ spl0_368
    | ~ spl0_309
    | ~ spl0_302
    | ~ spl0_303
    | spl0_306 ),
    inference(rat,[],[s6553,s2492,s6228,s5708,s7337,s4351,s10862,s10448,s6659,s10924,s10730]) ).

cnf(s10954,plain,
    ( spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s2721,s5127,s10765,s10952,s1831,s6976,s3832,s7381,s10953,s1649,s6964,s7337,s10862,s10,s10603,s10418,s10448,s6659,s10924,s7225,s10951,s6957,s3021,s6956,s3041,s10944,s10946,s10950]) ).

cnf(s10955,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s4256,s10470,s6343,s3011,s10181,s1870,s10241,s8875,s2492,s7380,s7382,s2675,s2145,s7381,s9465,s5510,s1724,s5975,s681,s10954,s4863,s37,s7225,s1688,s10951,s3003,s7337,s10,s10603,s10946,s2335,s6956,s3041,s1353,s10418,s10448,s6659,s10924,s3580,s6957,s3021,s10950,s10944,s10730]) ).

cnf(s10956,plain,
    ( ~ spl0_383
    | spl0_4
    | ~ spl0_308
    | ~ spl0_302
    | ~ spl0_303
    | ~ spl0_1
    | spl0_306 ),
    inference(rat,[],[s6365,s7380,s7382,s8875,s4249,s1870,s2651,s10383,s10567,s10352,s1831,s10508,s1353,s10418,s10448,s6659,s10924,s10944,s5950,s10730]) ).

cnf(s10957,plain,
    ( ~ spl0_11
    | spl0_31
    | spl0_306 ),
    inference(rat,[],[s6365,s7382,s7380,s5143,s5520,s1724,s10956,s7304,s1690,s10955,s6957,s6956,s3021,s3041,s10950,s10946,s10,s10603,s10924,s10944,s10730]) ).

cnf(s10958,plain,
    ( spl0_31
    | spl0_306 ),
    inference(rat,[],[s2977,s9462,s10483,s7380,s6445,s37,s10257,s4961,s4863,s7381,s10949,s3003,s5510,s8556,s10489,s1724,s10633,s10352,s2651,s4828,s8653,s10957,s2524,s10,s10603,s1353,s10418,s10448,s6659,s10924,s10944,s10730]) ).

cnf(s10959,plain,
    spl0_306,
    inference(rat,[],[s3920,s6957,s4860,s1649,s5024,s4828,s10785,s5176,s9973,s10958,s10944,s1353,s10418,s10448,s6659,s10924,s7337]) ).

cnf(s10960,plain,
    ( ~ spl0_86
    | spl0_122
    | ~ spl0_20
    | ~ spl0_6
    | ~ spl0_38 ),
    inference(rat,[],[s4484,s175,s321]) ).

cnf(s10961,plain,
    ( ~ spl0_383
    | ~ spl0_302
    | spl0_510
    | ~ spl0_428
    | ~ spl0_370
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_305
    | ~ spl0_319
    | ~ spl0_6
    | spl0_493
    | ~ spl0_38
    | spl0_401 ),
    inference(rat,[],[s4484,s5691,s2732,s4158,s319,s10960,s171,s1839,s2384,s4263,s2915,s8599,s7381,s2444,s5999,s4238,s6181,s7382,s4124,s4122,s10959,s10730]) ).

cnf(s10962,plain,
    ( spl0_346
    | ~ spl0_370
    | ~ spl0_47
    | ~ spl0_364
    | ~ spl0_466
    | spl0_360
    | spl0_309
    | ~ spl0_319
    | spl0_1
    | spl0_493
    | ~ spl0_38
    | spl0_401 ),
    inference(rat,[],[s4484,s5691,s2732,s4158,s319,s171,s10960,s1839,s2384,s2915,s4263,s4238,s6181,s7381,s8599,s7382,s4726,s3011,s3755,s1870,s8494,s5795,s10961,s6957,s6396,s10188,s6960,s6064,s6398,s1,s15,s1208,s9571,s5942,s67,s5077,s8034,s10959]) ).

cnf(s10963,plain,
    ( ~ spl0_370
    | ~ spl0_303
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5435,s4266,s319,s171,s10960,s8010,s1839,s2384,s6356,s4263,s7381,s5121,s9415,s4726,s7382,s2718,s1870,s5754,s3334,s2444,s8494,s3481,s8566,s5795,s8142,s10462,s6964,s4122,s5168,s10873,s2335,s10962,s2611,s10321,s5654,s6064,s6398,s1,s8034,s15,s3585,s3204,s2524,s67,s6258,s7380,s5208,s5144,s3271,s10322,s1653,s6446,s9571,s5077,s5141,s2151,s10959,s10730]) ).

cnf(s10964,plain,
    ( spl0_346
    | spl0_370
    | spl0_621
    | ~ spl0_466
    | spl0_309
    | spl0_206
    | spl0_1 ),
    inference(rat,[],[s10364,s10820,s6468,s3920,s3953,s681,s8394,s3276,s6957,s6396,s10188,s10730]) ).

cnf(s10965,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s8918,s6957,s6400,s3276,s6962,s8394,s10865,s5168,s10873,s2335,s10964,s1688,s10963,s6446,s5942,s9571,s67,s5077,s5141,s3271,s3585,s2151,s3204,s2524,s8034,s10322,s1653,s10959,s10730]) ).

cnf(s10966,plain,
    ( ~ spl0_383
    | spl0_360
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_305
    | ~ spl0_302
    | spl0_346
    | ~ spl0_370
    | ~ spl0_319
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s8143,s10222,s10238,s4070,s1798,s4263,s8357,s8599,s7381,s2631,s6461,s2444,s5999,s538,s67,s4238,s5290,s7382,s10961,s4124,s4122,s10321,s5654,s3204,s2524,s6064,s6398,s1,s8034,s6960,s10465,s15,s10959,s10730]) ).

cnf(s10967,plain,
    ( spl0_360
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_345
    | ~ spl0_302
    | spl0_346
    | ~ spl0_370
    | ~ spl0_304
    | spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s3160,s7381,s2718,s4726,s2444,s1870,s8497,s8494,s5795,s1724,s10966,s5611,s5712,s10962,s10321,s2151,s5654,s3204,s2524,s15,s8034,s10322,s5894,s1208,s2645,s6962,s6062,s1997,s7380,s4866,s5144,s1653,s10959,s10730]) ).

cnf(s10968,plain,
    ( ~ spl0_383
    | spl0_501
    | ~ spl0_506
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_428
    | ~ spl0_370
    | ~ spl0_319
    | ~ spl0_6
    | spl0_493
    | ~ spl0_38
    | spl0_401 ),
    inference(rat,[],[s4484,s5691,s2732,s4158,s319,s171,s10960,s1839,s2384,s6356,s4263,s7381,s8599,s5999,s2444,s4238,s7382,s4124,s4122,s10959,s10730]) ).

cnf(s10970,plain,
    ( ~ spl0_361
    | ~ spl0_195
    | spl0_383
    | ~ spl0_533
    | ~ spl0_506
    | ~ spl0_360
    | ~ spl0_443
    | ~ spl0_364
    | spl0_309
    | ~ spl0_302
    | spl0_346
    | ~ spl0_304
    | ~ spl0_371
    | ~ spl0_201
    | ~ spl0_4
    | ~ spl0_11
    | spl0_493
    | spl0_31 ),
    inference(rat,[],[s10479,s319,s6137,s2281,s4068,s274,s2078,s131,s10609,s3334,s10168,s7381,s3160,s2718,s2444,s6446,s6659,s10594,s5697,s5894,s1724,s10959]) ).

cnf(s10971,plain,
    ( ~ spl0_195
    | spl0_383
    | ~ spl0_360
    | ~ spl0_443
    | ~ spl0_302
    | spl0_346
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s4272,s4850,s5435,s7364,s319,s8606,s10960,s2384,s4263,s3502,s8599,s7382,s10970,s4726,s10168,s7381,s3160,s2718,s10328,s2444,s538,s3204,s6064,s6398,s1,s8034,s15,s10322,s7380,s4866,s5144,s1653,s6446,s6659,s10594,s5697,s6121,s1208,s2645,s5611,s2680,s5654,s2524,s6962,s6062,s1997,s5894,s6955,s10965,s1724,s10959,s10730]) ).

cnf(s10972,plain,
    ( spl0_200
    | ~ spl0_302
    | spl0_346
    | ~ spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s8009,s324,s6171,s171,s2078,s5945,s5896,s6137,s10479,s113,s319,s2281,s274,s131,s10609,s10168,s7382,s7381,s4238,s8562,s10971,s1724,s10968,s5754,s5611,s6121,s67,s2680,s6453,s10967,s6446,s6659,s10594,s5697,s10462,s6964,s10321,s5654,s3204,s2524,s6064,s6398,s1,s8034,s15,s10322,s6960,s5894,s6955,s10965,s1208,s2645,s6962,s6062,s1997,s7380,s4866,s5127,s8597,s5144,s1653,s10730,s10959]) ).

cnf(s10973,plain,
    ( ~ spl0_302
    | spl0_346
    | ~ spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s7443,s2640,s8499,s5373,s464,s6543,s7351,s7364,s2078,s3353,s131,s10609,s6446,s10168,s9571,s7381,s5611,s6121,s6461,s8493,s2680,s6497,s5207,s8497,s7382,s5795,s1724,s4238,s10881,s10364,s3072,s6468,s3920,s3953,s681,s10972,s5127,s7380,s6962,s1208,s8597,s4866,s6062,s2645,s10321,s2151,s5654,s3204,s2524,s15,s8034,s1997,s10322,s5144,s1653,s6960,s5894,s6955,s10965,s10959,s10730]) ).

cnf(s10974,plain,
    ( ~ spl0_196
    | ~ spl0_607
    | spl0_620
    | spl0_206
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6240,s1798,s8135,s10660,s6400,s6962,s2721,s4686,s2151,s5654,s2524,s1997,s10730,s10959]) ).

cnf(s10975,plain,
    ( spl0_346
    | ~ spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s31,s9104,s6446,s10885,s1212,s9137,s5127,s10974,s7764,s6101,s6957,s10973,s10465,s6960,s5654,s2524,s15,s6955,s10965,s10959]) ).

cnf(s10976,plain,
    ( ~ spl0_195
    | ~ spl0_362
    | ~ spl0_387
    | ~ spl0_383
    | ~ spl0_506
    | spl0_418
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_305
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_493
    | ~ spl0_38
    | spl0_401 ),
    inference(rat,[],[s2737,s4663,s1766,s4158,s3118,s171,s319,s1839,s10960,s1798,s2384,s8357,s4263,s4228,s7381,s8599,s2718,s5999,s2444,s6064,s6398,s1,s8034,s15,s6198,s10730,s10959]) ).

cnf(s10977,plain,
    ( spl0_395
    | spl0_192
    | spl0_195
    | ~ spl0_362
    | ~ spl0_364
    | ~ spl0_346
    | ~ spl0_348 ),
    inference(rat,[],[s131,s5282,s2975,s4263,s7983]) ).

cnf(s10978,plain,
    ( ~ spl0_594
    | spl0_466
    | spl0_192
    | ~ spl0_362
    | ~ spl0_348 ),
    inference(rat,[],[s7342,s4936,s5281,s5282]) ).

cnf(s10979,plain,
    ( spl0_99
    | spl0_184
    | ~ spl0_395
    | ~ spl0_609
    | spl0_466
    | ~ spl0_345
    | spl0_360
    | ~ spl0_506
    | ~ spl0_304
    | ~ spl0_348 ),
    inference(rat,[],[s7444,s8499,s6872,s5395,s4936,s131,s10959]) ).

cnf(s10980,plain,
    ( ~ spl0_383
    | ~ spl0_345
    | spl0_360
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_304
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s7494,s2622,s2281,s4232,s5311,s7351,s3168,s1985,s274,s10979,s3652,s10977,s10168,s7381,s4433,s7383,s4070,s5077,s67,s5288,s1870,s3011,s3921,s10374,s10470,s4256,s10466,s10976,s4237,s7382,s4124,s4122,s10321,s2151,s5654,s3204,s2524,s15,s8034,s6962,s6062,s7380,s4866,s5144,s1653,s6121,s1208,s2645,s1997,s6106,s5893,s5168,s10959,s10730]) ).

cnf(s10981,plain,
    ( ~ spl0_345
    | spl0_360
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_304
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s4484,s5691,s2732,s4158,s319,s10960,s171,s2384,s1839,s4263,s1798,s8599,s8357,s7382,s7381,s2143,s4726,s10328,s1870,s2444,s538,s8494,s8497,s5795,s1724,s10980,s10321,s2151,s5654,s3204,s2524,s6064,s6398,s1,s8034,s15,s10322,s6962,s6062,s7380,s4866,s5144,s1653,s6121,s5168,s1208,s2645,s1997,s10959,s10730]) ).

cnf(s10982,plain,
    ( spl0_360
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_370
    | ~ spl0_304
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10976,s4256,s4122,s7382,s10470,s8142,s10397,s10374,s4708,s4686,s5127,s10981,s6258,s10321,s5654,s3204,s2524,s7380,s4866,s5144,s1653,s6121,s5168,s1208,s2645,s1997,s10730,s10959]) ).

cnf(s10983,plain,
    ( ~ spl0_383
    | ~ spl0_63
    | ~ spl0_506
    | spl0_418
    | ~ spl0_47
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_305
    | ~ spl0_302
    | ~ spl0_370
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_493
    | ~ spl0_38
    | spl0_401 ),
    inference(rat,[],[s3011,s10470,s5288,s4256,s10466,s10976,s4237,s7382,s4124,s4122,s15,s10730]) ).

cnf(s10984,plain,
    ( ~ spl0_367
    | spl0_425
    | ~ spl0_163
    | ~ spl0_395
    | ~ spl0_435
    | ~ spl0_381
    | spl0_501
    | ~ spl0_345
    | ~ spl0_63
    | ~ spl0_506
    | spl0_309
    | ~ spl0_346
    | ~ spl0_371
    | spl0_206
    | ~ spl0_4
    | ~ spl0_11
    | spl0_401 ),
    inference(rat,[],[s1995,s5854,s4266,s4158,s3273,s171,s2223,s1839,s10452,s6356]) ).

cnf(s10985,plain,
    ( spl0_324
    | spl0_425
    | ~ spl0_362
    | ~ spl0_364 ),
    inference(rat,[],[s4265,s6443,s6969]) ).

cnf(s10986,plain,
    ( ~ spl0_195
    | ~ spl0_362
    | ~ spl0_381
    | spl0_501
    | ~ spl0_345
    | ~ spl0_63
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s8499,s2633,s4810,s1995,s10985,s4660,s7381,s10984,s5435,s319,s10960,s2384,s4263,s5121,s8599,s2718,s2444,s10321,s5654,s3204,s2524,s6064,s6398,s1,s8034,s15,s7380,s4866,s5144,s1653,s6121,s5168,s6446,s1208,s2645,s1997,s6955,s10965,s10959,s10730]) ).

cnf(s10987,plain,
    ( ~ spl0_362
    | ~ spl0_381
    | spl0_501
    | ~ spl0_345
    | ~ spl0_63
    | ~ spl0_20
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s3011,s10470,s5288,s4256,s10466,s10986,s4237,s5654,s2524,s15,s7380,s4866,s5144,s1653,s5168,s6446,s10959,s10730]) ).

cnf(s10989,plain,
    ( spl0_324
    | ~ spl0_85
    | ~ spl0_468
    | ~ spl0_361
    | spl0_418
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_304
    | spl0_493 ),
    inference(rat,[],[s5945,s6221,s171,s4234,s324,s4271,s8009,s6969,s7006,s10959,s10730]) ).

cnf(s10990,plain,
    ( spl0_86
    | ~ spl0_468
    | ~ spl0_361
    | ~ spl0_360
    | ~ spl0_20
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_346
    | ~ spl0_304
    | ~ spl0_371
    | spl0_1
    | ~ spl0_11
    | spl0_493 ),
    inference(rat,[],[s3118,s171,s10276,s8576,s1995,s10989,s113,s319,s6064,s6398,s1,s8034,s15,s4228,s6198,s5168,s6446,s10959]) ).

cnf(s10991,plain,
    ( ~ spl0_302
    | ~ spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s7444,s2632,s7892,s131,s464,s2330,s274,s4484,s10960,s2281,s321,s10990,s10168,s7381,s10452,s2223,s2718,s3887,s5207,s7382,s10987,s1724,s10983,s5754,s5127,s67,s3841,s6453,s2828,s10982,s6121,s5168,s6446,s6659,s10448,s10418,s10462,s1649,s681,s7380,s3072,s1208,s4866,s3923,s2645,s10321,s5654,s3204,s2524,s6064,s6398,s1,s8034,s15,s1997,s5144,s1653,s6955,s10965,s10975,s10959,s10730]) ).

cnf(s10992,plain,
    ( ~ spl0_47
    | ~ spl0_301
    | ~ spl0_346
    | ~ spl0_304
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(rat,[],[s5016,s5690,s1212,s2721,s5004,s7006,s5168]) ).

cnf(s10993,plain,
    ( ~ spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s2721,s5004,s5127,s7006,s5609,s5712,s6497,s5077,s6461,s9571,s6446,s10992,s6101,s6957,s10991,s10975,s2151,s5654,s2524,s8034,s6955,s10965,s10959]) ).

cnf(s10994,plain,
    ( ~ spl0_362
    | ~ spl0_47
    | ~ spl0_364
    | ~ spl0_428
    | spl0_370
    | spl0_206
    | spl0_1
    | spl0_493 ),
    inference(rat,[],[s8143,s2631,s10369,s10222,s7972,s10,s4708,s4686,s1982,s8394,s4263,s681,s8599,s6468,s2444,s10364,s538,s4238,s15,s10730,s10959]) ).

cnf(s10995,plain,
    ( ~ spl0_302
    | ~ spl0_423
    | spl0_346
    | spl0_370
    | ~ spl0_371
    | spl0_320
    | spl0_206
    | spl0_1
    | spl0_493
    | spl0_323 ),
    inference(rat,[],[s10820,s5633,s3920,s3953,s8394,s4686,s10397,s7382,s10994,s6446,s6659,s7380,s10594,s4866,s2645,s5144,s1653,s6960,s10730,s10959]) ).

cnf(s10996,plain,
    ( spl0_346
    | spl0_370
    | ~ spl0_371
    | spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10604,s6446,s10,s1212,s6139,s9137,s7147,s5127,s10974,s7764,s6101,s6957,s10995,s5901,s10465,s6960,s3204,s2524,s15,s1997,s6955,s10965,s1688,s10959]) ).

cnf(s10997,plain,
    ( ~ spl0_302
    | ~ spl0_346
    | spl0_370
    | ~ spl0_304
    | spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s2631,s8143,s538,s8590,s4256,s6121,s7382,s10470,s2718,s5712,s10369,s7972,s10397,s10374,s10,s3276,s4708,s4686,s1982,s8394,s681,s7380,s6468,s1208,s4866,s1638,s2645,s2524,s2151,s15,s1997,s5144,s1653,s10959,s10730]) ).

cnf(s10998,plain,
    ( ~ spl0_371
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5712,s6121,s1208,s5077,s10189,s10768,s9571,s6659,s6446,s10992,s6957,s10997,s10996,s10993,s6955,s10965,s2151,s5654,s2524,s8034,s10959]) ).

cnf(s10999,plain,
    ( spl0_346
    | spl0_371
    | spl0_327
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | ~ spl0_38
    | spl0_31 ),
    inference(rat,[],[s4866,s7380,s6957,s9086,s5004,s2952,s1212,s10364,s10884,s6468,s3953,s681,s2509,s7926,s9571,s6955,s7006,s6461,s3271,s2680,s7836,s7146,s8514,s7925,s6139,s10,s2154,s15,s5672,s8034,s10322,s1653,s1690,s10730,s10959]) ).

cnf(s11000,plain,
    ( ~ spl0_47
    | ~ spl0_370
    | ~ spl0_302
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s67,s6461,s10983,s6497,s6121,s10982,s5168,s10321,s3204,s1208,s7380,s4866,s6659,s10448,s10418,s1649,s681,s6468,s1638,s2151,s2645,s1997,s6955,s2335,s4122,s10710,s10999,s10998,s5144,s1653,s5654,s2524,s10959,s10730]) ).

cnf(s11001,plain,
    ( ~ spl0_418
    | spl0_196
    | spl0_377
    | ~ spl0_362
    | spl0_623
    | ~ spl0_374
    | ~ spl0_308
    | ~ spl0_319
    | ~ spl0_19
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6550,s4726,s6356,s6312,s5754,s6300,s67,s2669,s5077,s2680,s5712,s2151,s5654,s2524,s10959]) ).

cnf(s11002,plain,
    ( ~ spl0_192
    | ~ spl0_393
    | ~ spl0_305
    | ~ spl0_319
    | ~ spl0_38 ),
    inference(rat,[],[s6550,s8357,s4726,s3011]) ).

cnf(s11003,plain,
    ( ~ spl0_370
    | ~ spl0_302
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5999,s7381,s10178,s6356,s5939,s5754,s67,s6461,s6497,s2669,s6300,s6312,s11002,s4237,s11001,s4686,s10649,s7383,s5981,s11000,s7382,s4124,s4122,s8034,s605,s10322,s1690,s10710,s1208,s3664,s7380,s4866,s10462,s15,s6659,s10448,s10418,s1649,s681,s6468,s1638,s10999,s10998,s5144,s1653,s5654,s2524,s2151,s2645,s1997,s10959,s10730]) ).

cnf(s11004,plain,
    ( ~ spl0_302
    | spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10,s9531,s1982,s8394,s11003,s681,s6468,s1638,s2151,s10999,s10998,s5144,s1653,s5654,s2524,s10959]) ).

cnf(s11005,plain,
    ( spl0_20
    | spl0_371
    | ~ spl0_622
    | spl0_1
    | spl0_31 ),
    inference(rat,[],[s7836,s6139,s6461,s10,s9571,s10603,s10959]) ).

cnf(s11006,plain,
    ( ~ spl0_370
    | ~ spl0_20
    | ~ spl0_301
    | ~ spl0_383
    | ~ spl0_346
    | spl0_371
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(rat,[],[s3953,s10884,s2509,s10992,s5027,s6955,s2335,s4122,s10730]) ).

cnf(s11007,plain,
    ( ~ spl0_100
    | spl0_425
    | ~ spl0_360
    | ~ spl0_364
    | ~ spl0_607
    | ~ spl0_217
    | ~ spl0_346
    | ~ spl0_308
    | spl0_206
    | spl0_323 ),
    inference(rat,[],[s2211,s114,s10637,s8351,s4930,s2737,s10730]) ).

cnf(s11008,plain,
    ( ~ spl0_364
    | ~ spl0_163
    | spl0_122
    | spl0_593
    | ~ spl0_468
    | ~ spl0_304
    | ~ spl0_217
    | ~ spl0_20
    | ~ spl0_301
    | ~ spl0_383
    | ~ spl0_346
    | ~ spl0_308
    | spl0_206
    | ~ spl0_4
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s3118,s171,s3807,s369,s7364,s131,s11007,s5435,s6199,s10885,s5609,s9137,s5127,s4686,s10397,s7382,s4256,s10364,s6101,s7383,s5981,s10992,s5654,s2524,s10730,s10959]) ).

cnf(s11009,plain,
    ( spl0_206
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s3430,s6333,s7382,s7381,s10397,s10391,s8785,s7380,s11008,s319,s7383,s10960,s5981,s10159,s10992,s6101,s10470,s2718,s6955,s3921,s6468,s10873,s3953,s681,s1982,s10,s6105,s1688,s11006,s11005,s6957,s11004,s10710,s10999,s1690,s10998,s5144,s1653,s5654,s2524,s5672,s6064,s6398,s1,s8034,s15,s10730,s10959]) ).

cnf(s11010,plain,
    ( ~ spl0_418
    | ~ spl0_364
    | spl0_390
    | ~ spl0_428
    | ~ spl0_100
    | ~ spl0_200
    | ~ spl0_6
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s4484,s4338,s6266,s4263,s8599,s4238,s7382,s3755,s3011,s10181,s1870,s8494,s2680,s5712,s2151,s5654,s3204,s2524,s10730,s10959]) ).

cnf(s11011,plain,
    ( ~ spl0_195
    | ~ spl0_533
    | ~ spl0_47
    | ~ spl0_381
    | ~ spl0_200
    | ~ spl0_370 ),
    inference(rat,[],[s3160,s7381,s2718,s6257,s2444,s10730]) ).

cnf(s11012,plain,
    ( ~ spl0_20
    | ~ spl0_371
    | spl0_346
    | ~ spl0_302
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10989,s113,s4935,s5565,s2653,s10684,s53,s5028,s6453,s10659,s10168,s7381,s8493,s2718,s5207,s7382,s4238,s11011,s10,s6121,s5611,s8137,s1208,s6962,s2645,s1212,s5785,s6446,s10321,s2151,s3204,s10268,s2633,s2524,s1724,s5894,s6955,s2611,s5506,s11010,s7380,s4866,s8777,s5795,s10881,s3072,s681,s3920,s3953,s6960,s8509,s7225,s2827,s11009,s6064,s6398,s1,s8034,s15,s10959,s10730]) ).

cnf(s11013,plain,
    ( ~ spl0_371
    | spl0_346
    | ~ spl0_302
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10402,s9571,s6659,s11012,s11010,s7380,s5795,s4866,s10881,s8777,s2524,s6064,s6398,s1,s15,s3953,s8509,s3072,s681,s7225,s3920,s2827,s11009,s8034,s6960,s10730]) ).

cnf(s11014,plain,
    ( spl0_346
    | ~ spl0_302
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6552,s9086,s3483,s2952,s1798,s4284,s7695,s8514,s1208,s6139,s2645,s10,s5785,s2154,s11005,s1690,s11013,s3204,s2524,s15,s5672,s3953,s3072,s681,s2827,s7225,s11009,s8034,s10959,s10730]) ).

cnf(s11015,plain,
    ( ~ spl0_302
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6552,s3483,s4256,s1798,s10470,s7382,s7695,s3921,s4124,s4284,s1208,s10710,s11005,s2503,s3923,s2218,s11014,s3204,s2524,s5672,s3953,s3072,s681,s2827,s7225,s11009,s8034,s10959,s10730]) ).

cnf(s11016,plain,
    ( ~ spl0_383
    | ~ spl0_364
    | ~ spl0_371
    | ~ spl0_428
    | ~ spl0_224
    | spl0_465 ),
    inference(rat,[],[s6553,s4238,s5632,s4284,s10730]) ).

cnf(s11017,plain,
    ( ~ spl0_364
    | ~ spl0_429
    | spl0_320
    | spl0_327
    | ~ spl0_371
    | spl0_346
    | ~ spl0_301
    | ~ spl0_224
    | ~ spl0_100
    | ~ spl0_200
    | ~ spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s67,s6461,s5290,s10685,s9572,s6396,s7601,s6889,s6400,s11010,s5795,s11016,s5654,s3204,s2524,s6064,s6398,s1,s8034,s3953,s6960,s10465,s15,s10959,s10730]) ).

cnf(s11018,plain,
    ( ~ spl0_20
    | spl0_327
    | ~ spl0_371
    | spl0_346
    | ~ spl0_301
    | ~ spl0_100
    | ~ spl0_200
    | ~ spl0_370
    | ~ spl0_206
    | spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6181,s7382,s5290,s10397,s2680,s8785,s6400,s67,s6101,s5077,s6955,s10258,s5208,s3904,s7380,s11017,s6962,s1212,s5785,s6446,s2151,s5654,s3204,s2524,s3072,s681,s10465,s15,s10730,s10959]) ).

cnf(s11019,plain,
    ( ~ spl0_371
    | spl0_346
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10523,s11016,s7380,s10258,s5712,s5077,s10,s9571,s10603,s6659,s11018,s8777,s2524,s2151,s15,s3953,s8509,s3072,s681,s2827,s7225,s11009,s8034,s6957,s11015,s6960,s10959,s10730]) ).

cnf(s11020,plain,
    ( spl0_346
    | spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s3904,s1798,s7380,s6682,s9086,s6962,s2952,s1212,s7381,s3921,s4284,s10884,s5640,s8514,s6139,s10,s2154,s11005,s1690,s11019,s3204,s2524,s15,s5672,s3953,s3072,s681,s2827,s7225,s11009,s8034,s10959,s10730]) ).

cnf(s11021,plain,
    ( ~ spl0_23
    | ~ spl0_304
    | ~ spl0_301
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s2721,s5004,s5127,s7006,s5609,s5712,s6497,s5077,s6461,s2151,s5654,s2524,s6101,s10959]) ).

cnf(s11022,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s10710,s10884,s6446,s9571,s11021,s10992,s6955,s10926,s11020,s6957,s11015,s3953,s2827,s7225,s11009,s8034,s5654,s2524,s10959,s10730]) ).

cnf(s11023,plain,
    ( spl0_200
    | spl0_319
    | spl0_418
    | ~ spl0_371
    | spl0_346
    | ~ spl0_388
    | ~ spl0_32
    | ~ spl0_1
    | ~ spl0_11
    | spl0_493
    | spl0_323 ),
    inference(rat,[],[s6550,s3830,s9462,s6109,s10489,s1724,s5894,s1831,s6955,s10372,s3734,s6080,s3984,s1649,s9372,s2827,s10418,s10448,s6960,s7380,s10249,s2151,s5127,s10359,s1653,s10307,s10730,s10959]) ).

cnf(s11024,plain,
    ( ~ spl0_302
    | ~ spl0_198
    | ~ spl0_200
    | ~ spl0_345
    | ~ spl0_370
    | ~ spl0_364
    | spl0_418
    | ~ spl0_371
    | spl0_346
    | ~ spl0_388
    | ~ spl0_32
    | ~ spl0_37 ),
    inference(rat,[],[s9462,s7381,s5581,s3830,s6109,s5894,s67,s6955,s10402,s10489,s1724,s2611,s2828,s10881,s3920,s6960,s3953,s3072,s681,s10730]) ).

cnf(s11025,plain,
    ( ~ spl0_370
    | ~ spl0_371
    | spl0_346
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s4238,s7382,s10514,s5207,s3585,s2718,s6956,s67,s4228,s9104,s10402,s10489,s1724,s6957,s11016,s11024,s3072,s2295,s3953,s681,s11023,s5127,s10359,s1872,s10321,s3204,s6659,s83,s5654,s2524,s1870,s10025,s6960,s5651,s6198,s7380,s10249,s2079,s11022,s2151,s10730,s10959]) ).

cnf(s11026,plain,
    ( spl0_200
    | spl0_370
    | ~ spl0_364
    | spl0_418
    | ~ spl0_428
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6550,s9462,s5510,s10489,s1724,s1831,s10372,s4442,s2029,s1996,s6903,s1649,s3204,s10,s10603,s10418,s10448,s6659,s83,s11022,s5654,s2524,s10730,s10959]) ).

cnf(s11027,plain,
    ( ~ spl0_383
    | spl0_465
    | ~ spl0_199
    | spl0_370
    | ~ spl0_371
    | ~ spl0_428
    | ~ spl0_1
    | ~ spl0_11
    | spl0_323 ),
    inference(rat,[],[s6468,s10364,s7225,s4238,s3984,s7382,s10372,s5632,s1831,s7380,s10249,s2151,s10730]) ).

cnf(s11028,plain,
    ( ~ spl0_371
    | spl0_346
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s2890,s272,s1299,s2488,s6150,s4262,s307,s2479,s165,s142,s7596,s4660,s1839,s6266,s2405,s10328,s2067,s4263,s10364,s538,s6956,s10978,s4238,s6121,s7382,s1208,s5207,s10374,s9462,s2718,s10215,s7381,s22,s67,s4228,s2096,s5510,s10402,s10489,s1724,s11027,s2219,s3953,s681,s11026,s10189,s11025,s6198,s7380,s10249,s2079,s5651,s3003,s10321,s2151,s10025,s6659,s10,s10603,s83,s11022,s5654,s2524,s6960,s10730,s10959]) ).

cnf(s11029,plain,
    ( spl0_200
    | ~ spl0_308
    | spl0_346
    | ~ spl0_44
    | spl0_493 ),
    inference(rat,[],[s7243,s3734,s7926,s1649,s6964,s10959]) ).

cnf(s11030,plain,
    ( ~ spl0_383
    | ~ spl0_224
    | ~ spl0_370
    | spl0_465
    | ~ spl0_308
    | spl0_346
    | spl0_192
    | ~ spl0_1
    | spl0_493
    | spl0_31 ),
    inference(rat,[],[s3904,s1798,s7380,s9191,s9086,s6333,s2952,s7381,s10374,s4284,s5640,s1831,s5127,s10359,s1872,s10959,s10730]) ).

cnf(s11031,plain,
    ( ~ spl0_370
    | spl0_371
    | spl0_346
    | ~ spl0_1
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6550,s10452,s2223,s2105,s2106,s67,s4866,s5077,s6957,s10258,s7601,s7382,s7380,s5609,s5143,s5520,s10354,s1724,s11030,s3072,s1653,s5127,s10307,s10359,s1872,s2151,s10025,s10,s10603,s681,s3953,s11029,s1690,s10418,s10448,s6659,s83,s5654,s3204,s2524,s10959,s10730]) ).

cnf(s11032,plain,
    ( spl0_346
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5999,s10695,s7381,s2915,s1208,s10374,s3585,s5975,s1831,s6956,s6976,s6115,s8556,s10189,s11031,s11029,s1690,s11028,s6960,s3204,s10,s10603,s10418,s10448,s6659,s83,s11022,s5654,s2524,s10959,s10730]) ).

cnf(s11033,plain,
    ( spl0_319
    | spl0_360
    | ~ spl0_4
    | ~ spl0_371
    | ~ spl0_346
    | ~ spl0_11 ),
    inference(rat,[],[s7601,s6957,s5609,s2823,s1653,s5127,s10307,s10359,s10730]) ).

cnf(s11034,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5690,s5016,s9436,s9306,s6957,s6955,s9382,s2067,s1653,s7225,s1872,s11033,s2651,s6306,s5651,s3003,s2151,s5654,s2524,s11022,s11032,s10730,s10959]) ).

cnf(s11035,plain,
    ( spl0_200
    | ~ spl0_370
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s4256,s10470,s7382,s10383,s10374,s4124,s1831,s5520,s7380,s4866,s6957,s9685,s6173,s2106,s7353,s2029,s1649,s6964,s2151,s10,s10603,s10418,s10448,s6659,s83,s5654,s2524,s11032,s1690,s11034,s10307,s1872,s11022,s10730,s10959]) ).

cnf(s11036,plain,
    ( ~ spl0_383
    | spl0_195
    | spl0_465
    | ~ spl0_370
    | ~ spl0_308
    | ~ spl0_346
    | spl0_192
    | ~ spl0_1 ),
    inference(rat,[],[s3501,s4391,s5522,s6955,s2669,s7381,s2335,s2651,s5640,s4122,s10352,s5127,s10359,s1872,s10730]) ).

cnf(s11037,plain,
    ( ~ spl0_370
    | ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s2145,s6957,s4519,s7601,s7381,s7382,s5609,s8498,s5143,s10354,s1724,s11036,s10742,s3072,s3953,s681,s11035,s1653,s5127,s10307,s10359,s1872,s10362,s10025,s10,s10603,s83,s11022,s5654,s2524,s11032,s1690,s11034,s10730,s10959]) ).

cnf(s11038,plain,
    ( ~ spl0_11
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s5975,s1649,s2335,s3585,s6956,s6976,s6115,s8556,s11037,s1690,s11034,s11032,s10418,s10,s10448,s10603,s6659,s83,s11022,s5654,s3204,s2524,s10730,s10959]) ).

cnf(s11039,plain,
    ( spl0_319
    | spl0_11 ),
    inference(rat,[],[s1653,s5126,s10307,s10359,s10730]) ).

cnf(s11040,plain,
    ( spl0_200
    | spl0_418
    | ~ spl0_428
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s7344,s2721,s6132,s5126,s5893,s1997,s6955,s6903,s3734,s1649,s3204,s10418,s10448,s10189,s1872,s11039,s6659,s83,s8653,s11038,s5654,s2524,s10959]) ).

cnf(s11041,plain,
    ( ~ spl0_371
    | ~ spl0_428
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6593,s9382,s9306,s1653,s5126,s2219,s11040,s2079,s5651,s2151,s1872,s11039,s8653,s11038,s10730]) ).

cnf(s11042,plain,
    ( spl0_346
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6550,s10391,s2915,s5126,s1208,s2219,s10374,s3585,s10352,s1831,s6956,s6976,s6115,s11029,s8556,s1690,s11041,s6960,s3204,s10,s10603,s10418,s10448,s10189,s1872,s11039,s6659,s83,s8653,s11038,s5654,s2524,s10959,s10730]) ).

cnf(s11043,plain,
    ( ~ spl0_309
    | ~ spl0_371
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s6889,s1997,s5609,s5126,s5127,s2721,s2122,s6132,s5893,s6955,s3734,s3204,s10189,s1872,s11039,s6659,s83,s5654,s2524,s2079,s2151,s2651,s5651,s8653,s11038,s11042,s10959]) ).

cnf(s11044,plain,
    ( ~ spl0_371
    | spl0_323
    | spl0_31 ),
    inference(rat,[],[s7243,s10048,s6121,s1649,s1208,s11043,s2079,s2151,s10418,s10448,s10189,s1872,s11039,s6659,s83,s8653,s11038,s5654,s2524,s11042,s10959]) ).

cnf(s11045,plain,
    ( spl0_323
    | spl0_31 ),
    inference(rat,[],[s1649,s10048,s3585,s6956,s6115,s1690,s11044,s11042,s1872,s11039,s10418,s10,s10448,s10603,s6659,s83,s8653,s11038,s3204,s5654,s2524,s10959]) ).

cnf(s11046,plain,
    ( spl0_309
    | spl0_196
    | ~ spl0_192
    | ~ spl0_362
    | ~ spl0_381
    | ~ spl0_364
    | ~ spl0_195
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10984,s5603,s5435,s67,s319,s6461,s10960,s10238,s10241,s2384,s1798,s4263,s8357,s5121,s8599,s2915,s2718,s2444,s5168,s2900,s6446,s6659,s10448,s10418,s1649,s1208,s10321,s2944,s7304,s11045,s6064,s6398,s1,s10462,s15,s2827,s7381,s4726,s10322,s7353,s8034,s5127,s10959,s10730]) ).

cnf(s11047,plain,
    ( ~ spl0_303
    | ~ spl0_370
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s2900,s3734,s10746,s11046,s3481,s8142,s1870,s6258,s8875,s7382,s1724,s7380,s3334,s4122,s5208,s8566,s3271,s2335,s2611,s15,s2944,s6964,s10322,s7353,s2104,s7304,s8034,s11045,s10959,s10730]) ).

cnf(s11048,plain,
    ( spl0_196
    | spl0_309
    | ~ spl0_383
    | ~ spl0_370
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10178,s5939,s5999,s4726,s7381,s6356,s10241,s10983,s4237,s7380,s7382,s5603,s4866,s4124,s67,s6957,s6453,s5016,s7506,s5690,s5127,s10321,s10462,s15,s2827,s10322,s7353,s2104,s4122,s2900,s6121,s5168,s6446,s6659,s10448,s10418,s1649,s7304,s2944,s8034,s11045,s1208,s6955,s11047,s10730,s10959]) ).

cnf(s11049,plain,
    ( spl0_309
    | ~ spl0_383
    | ~ spl0_370
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s3549,s6962,s10374,s10867,s10617,s4686,s11048,s3051,s5168,s6446,s6659,s10448,s10418,s1649,s2944,s7304,s11045,s2827,s8034,s6955,s11047,s10730,s10959]) ).

cnf(s11050,plain,
    ( ~ spl0_309
    | ~ spl0_304
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10992,s6957,s6446,s2645,s10746,s10016,s2944,s7304,s11045,s1996,s7353,s8034,s10959]) ).

cnf(s11051,plain,
    ( ~ spl0_195
    | ~ spl0_38
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_360
    | ~ spl0_20
    | ~ spl0_51
    | ~ spl0_6
    | ~ spl0_371
    | ~ spl0_346 ),
    inference(rat,[],[s4484,s335,s4850,s3952,s10985,s5435,s319,s10960,s2384,s4263,s8599,s7382,s2145,s2718,s2733,s2444,s538,s2900,s5168,s6446,s10959,s10730]) ).

cnf(s11052,plain,
    ( ~ spl0_38
    | ~ spl0_364
    | ~ spl0_302
    | ~ spl0_16
    | ~ spl0_360
    | ~ spl0_20
    | ~ spl0_51
    | ~ spl0_381
    | ~ spl0_304
    | spl0_200
    | ~ spl0_371
    | ~ spl0_346
    | spl0_1
    | ~ spl0_11
    | spl0_401 ),
    inference(rat,[],[s7444,s2632,s7892,s131,s464,s2330,s6647,s4484,s10960,s2281,s321,s10990,s2718,s5207,s7382,s4237,s5288,s4726,s10168,s7381,s8562,s10466,s11051,s6064,s6398,s1,s15,s6964,s10322,s7353,s8034,s2900,s5168,s6446,s67,s6453,s10959,s10730]) ).

cnf(s11053,plain,
    ( spl0_196
    | ~ spl0_370
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s7892,s6969,s2653,s10168,s2632,s160,s9118,s7381,s2634,s131,s6356,s8234,s10241,s7446,s11052,s7380,s5603,s4866,s67,s6957,s6453,s5016,s12,s7506,s5690,s3721,s5127,s2524,s10321,s2944,s10462,s15,s2104,s7304,s8034,s11045,s1724,s11049,s53,s10413,s7417,s6659,s10448,s10418,s1649,s11050,s6955,s11047,s10959,s10730]) ).

cnf(s11054,plain,
    ( ~ spl0_370
    | spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s3549,s6962,s10374,s10867,s10617,s4686,s11053,s3051,s5168,s6446,s6659,s10448,s10418,s1649,s11050,s6955,s11047,s2944,s7304,s11045,s2827,s8034,s10730,s10959]) ).

cnf(s11055,plain,
    ( spl0_200
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s3271,s6956,s8875,s3051,s7380,s5168,s3483,s2900,s6446,s1798,s9545,s10660,s3549,s1870,s6139,s6962,s10369,s10374,s10,s10867,s10617,s4708,s4686,s1982,s8394,s11054,s10322,s2827,s7353,s2944,s7304,s8034,s11045,s10959,s10730]) ).

cnf(s11056,plain,
    ( ~ spl0_47
    | ~ spl0_607
    | ~ spl0_200
    | ~ spl0_346 ),
    inference(rat,[],[s2122,s6400,s1212,s5168]) ).

cnf(s11057,plain,
    ( ~ spl0_360
    | ~ spl0_305
    | spl0_466
    | ~ spl0_32
    | ~ spl0_201
    | ~ spl0_301
    | ~ spl0_304
    | ~ spl0_370
    | spl0_465
    | ~ spl0_37 ),
    inference(rat,[],[s5640,s10489,s7381,s4228,s4224,s2718,s10366,s2750,s4274,s5004,s6198,s7006,s7380,s4961,s10257,s10730]) ).

cnf(s11058,plain,
    ( ~ spl0_370
    | spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s4173,s171,s1731,s10473,s3875,s5606,s5660,s4253,s6332,s307,s10222,s2634,s8067,s8234,s3806,s7214,s7380,s6976,s5712,s8875,s8493,s6400,s1870,s1798,s7381,s2718,s6962,s10369,s10649,s10391,s10374,s10867,s4708,s4686,s5127,s7506,s11057,s1208,s2002,s5077,s9571,s6659,s6446,s11056,s10364,s10322,s605,s6468,s1653,s3041,s6957,s6955,s3923,s10115,s2766,s3072,s2104,s2524,s2944,s7304,s8034,s11045,s681,s3953,s11055,s10730,s10959]) ).

cnf(s11059,plain,
    ( ~ spl0_20
    | ~ spl0_383
    | spl0_195
    | ~ spl0_304
    | ~ spl0_200
    | ~ spl0_371
    | ~ spl0_346 ),
    inference(rat,[],[s3806,s3920,s7380,s6957,s4256,s6101,s10470,s11056,s3921,s6446,s7382,s5632,s3953,s10959,s10730]) ).

cnf(s11060,plain,
    ( spl0_1
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10391,s4686,s7381,s7147,s4257,s6139,s10594,s10,s10768,s10603,s6659,s11059,s8470,s10364,s6955,s6468,s10873,s7225,s1688,s11058,s681,s11055,s7304,s2944,s8034,s11045,s10730]) ).

cnf(s11061,plain,
    ( ~ spl0_383
    | ~ spl0_370
    | spl0_327
    | spl0_346
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s10383,s7540,s1831,s6960,s2944,s1653,s10307,s1872,s10730]) ).

cnf(s11062,plain,
    ( ~ spl0_370
    | spl0_200
    | ~ spl0_32
    | spl0_346
    | spl0_466
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s4322,s272,s2167,s2488,s6131,s5311,s1299,s4233,s10273,s5057,s165,s114,s307,s319,s1839,s2479,s5518,s4263,s5281,s6543,s4972,s10328,s8875,s538,s1870,s7382,s8562,s3011,s5207,s10374,s10469,s10241,s7381,s2718,s10215,s22,s9462,s4228,s2096,s10402,s10489,s1724,s11061,s6198,s3706,s7380,s2645,s5208,s6957,s6956,s3021,s3041,s8936,s1653,s5127,s10307,s10359,s1872,s2524,s10321,s11045,s11060,s6964,s2106,s1649,s10418,s10448,s10730,s10959]) ).

cnf(s11063,plain,
    ( ~ spl0_383
    | ~ spl0_364
    | ~ spl0_493
    | ~ spl0_303
    | spl0_370
    | spl0_346
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s7344,s3605,s10783,s7283,s10307,s7381,s6080,s3271,s8369,s7723,s10383,s2880,s10352,s1831,s6960,s5950,s11060,s10,s10603,s10189,s6659,s6446,s4146,s37,s2944,s11045,s10730,s10959]) ).

cnf(s11064,plain,
    ( ~ spl0_303
    | spl0_200
    | spl0_346
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5708,s10215,s7381,s2096,s5510,s1724,s11063,s7380,s3734,s5208,s10321,s10,s10603,s2106,s1649,s10418,s10448,s11062,s6659,s6446,s4146,s37,s2944,s11045,s3003,s11060,s10959,s10730]) ).

cnf(s11065,plain,
    ( spl0_200
    | spl0_346
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s2645,s6957,s1997,s7764,s3041,s6955,s11064,s1649,s6960,s10418,s10448,s6659,s6446,s4146,s37,s2944,s11045,s10959]) ).

cnf(s11066,plain,
    ( ~ spl0_370
    | ~ spl0_200
    | ~ spl0_10
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s7243,s2611,s3041,s10744,s1653,s10307,s1872,s10730]) ).

cnf(s11067,plain,
    ( spl0_206
    | spl0_423
    | ~ spl0_303
    | ~ spl0_313
    | ~ spl0_200
    | ~ spl0_32
    | ~ spl0_10
    | spl0_346
    | ~ spl0_371
    | ~ spl0_1 ),
    inference(rat,[],[s2096,s10215,s7380,s2879,s10670,s10834,s7381,s4257,s1724,s10364,s5975,s6468,s4144,s681,s10959,s10730]) ).

cnf(s11068,plain,
    ( ~ spl0_383
    | spl0_417
    | spl0_465
    | spl0_4
    | ~ spl0_428
    | ~ spl0_371
    | ~ spl0_1 ),
    inference(rat,[],[s10383,s8486,s1831]) ).

cnf(s11069,plain,
    ( ~ spl0_206
    | ~ spl0_303
    | ~ spl0_200
    | ~ spl0_14
    | spl0_4
    | ~ spl0_428
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s1870,s8875,s10181,s7380,s6343,s2675,s10757,s7381,s5510,s1724,s11068,s2828,s3920,s3580,s6957,s3021,s3953,s2295,s11066,s37,s10730]) ).

cnf(s11070,plain,
    ( ~ spl0_303
    | spl0_346
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s2096,s7380,s10215,s5208,s6240,s2106,s1724,s10594,s5975,s11067,s4144,s1997,s11069,s6960,s6659,s10,s10603,s6446,s4146,s1688,s11066,s11065,s37,s2944,s11060,s11045,s10730,s10959]) ).

cnf(s11071,plain,
    ( spl0_346
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s9104,s6957,s2680,s7506,s2645,s2012,s5127,s10594,s4708,s1997,s5901,s3041,s6955,s11070,s1688,s11066,s4437,s11065,s6659,s6446,s4146,s37,s2944,s11045,s11060,s10959]) ).

cnf(s11072,plain,
    ( ~ spl0_370
    | spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s3706,s9462,s2645,s7381,s1649,s10748,s10418,s10489,s10,s10448,s7380,s4122,s10603,s6659,s5208,s2335,s6446,s6957,s6956,s4146,s3021,s3041,s2029,s1653,s10307,s2104,s1872,s11045,s11060,s11071,s6964,s10730,s10959]) ).

cnf(s11073,plain,
    ( ~ spl0_20
    | ~ spl0_303
    | spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s3580,s10834,s6957,s7381,s8918,s5510,s5609,s1724,s5127,s1831,s4686,s10663,s2827,s37,s2651,s4146,s2353,s6446,s83,s11060,s11071,s1688,s10,s1982,s11072,s10730,s10959]) ).

cnf(s11074,plain,
    ( spl0_206
    | ~ spl0_309
    | ~ spl0_303
    | ~ spl0_313
    | spl0_200
    | spl0_31 ),
    inference(rat,[],[s3481,s5127,s10369,s5609,s1870,s8918,s8875,s6957,s3271,s2645,s10322,s1997,s1653,s11045,s7380,s5208,s2106,s10730,s10959]) ).

cnf(s11075,plain,
    ( ~ spl0_303
    | spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10489,s9462,s10567,s7381,s1870,s10783,s8875,s6962,s3706,s4863,s3605,s2645,s5950,s37,s6957,s7225,s3021,s11074,s7380,s5208,s3734,s2106,s1649,s10418,s10189,s10448,s6659,s11073,s11045,s3003,s11060,s11071,s1688,s10,s1982,s11072,s10730,s10959]) ).

cnf(s11076,plain,
    ( ~ spl0_20
    | spl0_206
    | ~ spl0_304
    | ~ spl0_346
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s1905,s7506,s4686,s2651,s10663,s2353,s83,s11045,s10730]) ).

cnf(s11077,plain,
    ( spl0_200
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s4863,s37,s5609,s5690,s5127,s8918,s5016,s9436,s6957,s2645,s2012,s1649,s10418,s10448,s6659,s11076,s1997,s3041,s6955,s11075,s1688,s11072,s11045,s3003,s11060,s11071,s10959]) ).

cnf(s11078,plain,
    ( spl0_206
    | ~ spl0_381
    | spl0_370
    | spl0_387
    | ~ spl0_303
    | ~ spl0_199
    | ~ spl0_371
    | ~ spl0_1
    | ~ spl0_323 ),
    inference(rat,[],[s8875,s7380,s1870,s10670,s4726,s7381,s5510,s10,s9031,s3271,s10364,s10322,s6468,s1653,s10730]) ).

cnf(s11079,plain,
    ( ~ spl0_303
    | ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5008,s53,s67,s9118,s3279,s3011,s158,s10470,s8934,s4256,s6343,s10181,s1870,s8875,s8936,s7380,s10307,s2675,s8927,s7381,s5510,s10,s10603,s6659,s6446,s7382,s4146,s2145,s2828,s3580,s37,s6957,s7225,s3021,s11078,s9465,s1688,s1724,s2104,s2106,s5975,s6283,s2335,s2524,s11045,s11071,s681,s2295,s11077,s11060,s10730,s10959]) ).

cnf(s11080,plain,
    ( spl0_309
    | ~ spl0_313
    | spl0_506
    | spl0_195
    | ~ spl0_32
    | spl0_206
    | ~ spl0_304
    | spl0_466
    | spl0_31 ),
    inference(rat,[],[s4686,s5127,s10391,s7506,s7381,s4961,s4257,s6121,s10594,s1208,s2524,s11045,s10730]) ).

cnf(s11081,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s4961,s6199,s8875,s7380,s1870,s10670,s4726,s7381,s5510,s10489,s1724,s10352,s8479,s6101,s7383,s6957,s6240,s2645,s11080,s1688,s10,s10189,s1872,s10364,s10603,s6659,s10322,s6468,s11076,s1997,s1653,s3041,s6955,s11079,s681,s11077,s11071,s3003,s2524,s11045,s11060,s10730,s10959]) ).

cnf(s11082,plain,
    ( spl0_309
    | ~ spl0_367
    | ~ spl0_100
    | spl0_200
    | ~ spl0_1
    | spl0_31 ),
    inference(rat,[],[s7587,s7382,s5518,s7389,s5207,s10469,s6969,s10199,s8357,s2632,s3986,s7383,s160,s10241,s83,s6659,s53,s10448,s10413,s10418,s7417,s1649,s1208,s10321,s2633,s2524,s10959]) ).

cnf(s11083,plain,
    ( ~ spl0_370
    | spl0_200
    | spl0_346
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5520,s7380,s11061,s5208,s2106,s11082,s7381,s9770,s6957,s3021,s8936,s1653,s10307,s1872,s11045,s11060,s10,s2154,s6956,s7926,s6964,s1690,s11081,s10730,s10959]) ).

cnf(s11084,plain,
    ( spl0_200
    | spl0_346
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5981,s6659,s1798,s10594,s3154,s2106,s5630,s5208,s4257,s6333,s7380,s7381,s9086,s8523,s2952,s10383,s10374,s1831,s6957,s6976,s6105,s8556,s1688,s11083,s6956,s7926,s6964,s11060,s1690,s4146,s37,s7304,s11045,s6960,s10,s2154,s11081,s10959,s10730]) ).

cnf(s11085,plain,
    ( ~ spl0_370
    | spl0_346
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s6344,s142,s319,s3807,s4005,s1731,s4352,s4323,s6304,s5757,s10448,s4305,s1208,s6332,s6659,s7382,s7381,s2106,s1870,s10219,s10374,s10884,s4124,s5640,s11061,s10567,s1831,s8516,s6957,s6956,s4452,s2633,s1946,s3021,s3041,s10744,s8936,s1653,s5127,s10307,s10359,s1872,s2524,s5950,s11060,s4146,s37,s7304,s11045,s10,s2154,s11081,s3953,s11084,s10959,s10730]) ).

cnf(s11086,plain,
    ( spl0_346
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s31,s5981,s10594,s1798,s2106,s9191,s5208,s4257,s6333,s7380,s7381,s9086,s5127,s8523,s2952,s2219,s10383,s10374,s10567,s10352,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s1688,s11085,s11084,s10,s2154,s6960,s1690,s5950,s11060,s4146,s37,s7304,s11081,s11045,s10959,s10730]) ).

cnf(s11087,plain,
    ( spl0_309
    | ~ spl0_370
    | spl0_200
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10415,s10,s6659,s9182,s10448,s7381,s10418,s11082,s7417,s1649,s4146,s37,s7304,s11081,s6964,s8936,s6214,s4122,s2335,s6956,s3041,s1653,s10307,s1872,s11060,s11045,s11086,s10730]) ).

cnf(s11088,plain,
    ( ~ spl0_370
    | spl0_200
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5520,s10,s7380,s10603,s5208,s5617,s2106,s11087,s4122,s2335,s6956,s3041,s1653,s10307,s1872,s11060,s1690,s4146,s37,s7304,s11081,s11045,s11086,s10730,s10959]) ).

cnf(s11089,plain,
    ( spl0_200
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s5981,s6659,s1798,s10594,s8357,s4257,s1208,s7381,s2106,s2675,s5208,s7380,s8875,s1870,s2651,s10383,s10374,s3580,s10567,s10352,s1831,s6957,s6956,s6976,s6105,s6115,s8556,s10,s1982,s1688,s11088,s1690,s5950,s11060,s4146,s37,s7304,s11081,s11045,s11086,s10959,s10730]) ).

cnf(s11090,plain,
    ( ~ spl0_370
    | ~ spl0_200
    | ~ spl0_346
    | ~ spl0_10
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_323 ),
    inference(rat,[],[s7243,s3175,s3041,s10744,s1653,s10307,s1872,s10730]) ).

cnf(s11091,plain,
    ( ~ spl0_303
    | ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s2651,s8875,s10457,s7380,s10,s1870,s3339,s8556,s9309,s9050,s1724,s5975,s2472,s2335,s2524,s681,s11090,s11089,s11086,s37,s7304,s11081,s11060,s11045,s10730]) ).

cnf(s11092,plain,
    ( ~ spl0_11
    | spl0_31 ),
    inference(rat,[],[s10604,s10,s11076,s6115,s3041,s6955,s11091,s11090,s11089,s11086,s37,s7304,s1690,s11081,s11060,s11045]) ).

cnf(s11093,plain,
    ( ~ spl0_20
    | ~ spl0_302
    | ~ spl0_536
    | ~ spl0_432
    | spl0_579
    | spl0_31 ),
    inference(rat,[],[s7443,s2640,s3952,s6543,s5373,s3782,s5945,s7351,s6641,s2732,s162,s186,s131,s10609,s10168,s7381,s5611,s8357,s6962,s5207,s1831,s6062,s7382,s10663,s1997,s1653,s6181,s10433,s5247,s6121,s4216,s37,s7383,s1208,s67,s4146,s10241,s9968,s6453,s2353,s2900,s6446,s83,s10321,s7380,s10257,s6445,s4961,s3003,s9489,s6955,s3271,s1872,s11039,s8653,s4828,s11092,s2524,s11045,s10959]) ).

cnf(s11094,plain,
    ( spl0_346
    | spl0_200
    | spl0_31 ),
    inference(rat,[],[s1997,s5126,s2645,s9539,s10594,s6659,s11093,s6957,s7764,s6135,s5901,s5894,s10474,s6960,s1688,s5893,s4961,s3003,s9489,s1872,s8653,s2524,s6955,s3271,s11039,s4828,s11092,s11045,s6964,s10959]) ).

cnf(s11095,plain,
    ( spl0_200
    | spl0_31 ),
    inference(rat,[],[s5708,s1649,s1798,s7381,s10418,s6199,s5510,s10448,s10489,s1724,s6659,s10352,s2353,s2651,s11094,s10,s1684,s10321,s4961,s2524,s7380,s10257,s3003,s9489,s6955,s3271,s1872,s11039,s8653,s4828,s11092,s11045]) ).

cnf(s11096,plain,
    spl0_31,
    inference(rat,[],[s6550,s9462,s5510,s10489,s1724,s10352,s6961,s2651,s6121,s10,s9104,s10189,s10603,s6659,s6446,s1212,s5004,s6957,s2828,s2295,s11095,s7006,s7380,s4961,s10257,s3003,s9489,s6955,s3271,s1872,s11039,s4828,s8653,s11092,s11045,s2524,s10730,s10959]) ).

cnf(s11097,plain,
    spl0_1,
    inference(rat,[],[s9973,s11096]) ).

cnf(s11098,plain,
    ( ~ spl0_371
    | spl0_99
    | spl0_323
    | ~ spl0_370
    | spl0_346
    | spl0_4
    | ~ spl0_443 ),
    inference(rat,[],[s1870,s3830,s3273,s7381,s2175,s10295,s4269,s4262,s4821,s3882,s2096,s142,s307,s1724,s4935,s4850,s3499,s1831,s6109,s5697,s6969,s10372,s5894,s6221,s6872,s7380,s6955,s4936,s10249,s6080,s2611,s3003,s3984,s5950,s6960,s5127,s10359,s1872,s2151,s6173,s131,s4453,s37,s11097,s10730]) ).

cnf(s11099,plain,
    ( ~ spl0_370
    | spl0_346
    | ~ spl0_11
    | ~ spl0_443 ),
    inference(rat,[],[s1831,s5520,s10372,s7380,s5208,s6956,s10,s7926,s2154,s1690,s11098,s2106,s4326,s6794,s1653,s8957,s10307,s1872,s3984,s10600,s6960,s11097,s10730,s10959,s11096]) ).

cnf(s11100,plain,
    ( ~ spl0_303
    | ~ spl0_302
    | ~ spl0_348
    | spl0_466
    | ~ spl0_11 ),
    inference(rat,[],[s3734,s3605,s4326,s6182,s4486,s10959,s11096]) ).

cnf(s11101,plain,
    ( spl0_309
    | ~ spl0_340
    | ~ spl0_423
    | spl0_323 ),
    inference(rat,[],[s5661,s83,s67,s6659,s5528,s10594,s10959,s11097,s11096]) ).

cnf(s11102,plain,
    ( ~ spl0_20
    | spl0_122
    | spl0_315
    | ~ spl0_362
    | ~ spl0_63
    | ~ spl0_423
    | ~ spl0_302
    | ~ spl0_368
    | spl0_196
    | ~ spl0_9
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_11 ),
    inference(rat,[],[s6244,s4936,s5945,s8965,s307,s6899,s2900,s6446,s37,s6080,s5950,s10600,s7380,s10249,s5127,s6955,s11100,s3003,s11096,s10959,s11097]) ).

cnf(s11103,plain,
    ( ~ spl0_145
    | ~ spl0_418
    | spl0_122
    | ~ spl0_362
    | ~ spl0_309
    | ~ spl0_524
    | ~ spl0_423
    | ~ spl0_302
    | ~ spl0_368
    | ~ spl0_345
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_11 ),
    inference(rat,[],[s8964,s8965,s6080,s5950,s10600,s7380,s10249,s6955,s11100,s3003,s11096,s11097]) ).

cnf(s11104,plain,
    ( ~ spl0_319
    | ~ spl0_309
    | ~ spl0_524
    | ~ spl0_423
    | ~ spl0_302
    | ~ spl0_368
    | spl0_383
    | spl0_196
    | ~ spl0_9
    | ~ spl0_348
    | ~ spl0_371
    | ~ spl0_428
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s6244,s131,s2178,s2479,s307,s11103,s9462,s10489,s6659,s11102,s2384,s1726,s10328,s4263,s538,s10978,s4238,s4351,s7382,s5708,s8258,s5948,s8494,s67,s1870,s2002,s4726,s3003,s6080,s5950,s10600,s7380,s10249,s5127,s10168,s11096,s10730,s11097]) ).

cnf(s11105,plain,
    ( spl0_323
    | ~ spl0_371
    | spl0_346
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s6553,s6181,s10275,s5289,s6969,s7383,s6872,s5708,s4936,s4453,s131,s4351,s6794,s7190,s1653,s10307,s11104,s11101,s5752,s5700,s6114,s5901,s6955,s11100,s6957,s7381,s8918,s5510,s2096,s10186,s5609,s1724,s5127,s1831,s4686,s10372,s7380,s10249,s6080,s5651,s2151,s4221,s3984,s37,s5950,s10600,s6960,s1688,s10,s1982,s11099,s6964,s3003,s10730,s11096,s11097]) ).

cnf(s11106,plain,
    ( ~ spl0_383
    | ~ spl0_393
    | spl0_360
    | spl0_206
    | ~ spl0_418
    | ~ spl0_323
    | ~ spl0_371
    | spl0_346
    | spl0_4 ),
    inference(rat,[],[s5175,s7380,s10691,s7723,s10383,s2880,s10352,s1831,s37,s10730,s11097]) ).

cnf(s11107,plain,
    ( ~ spl0_368
    | ~ spl0_303
    | ~ spl0_319
    | spl0_206
    | ~ spl0_323
    | ~ spl0_313
    | spl0_200 ),
    inference(rat,[],[s8918,s5609,s6957,s5127,s3580,s4686,s8927,s10391,s3271,s10730]) ).

cnf(s11108,plain,
    ( ~ spl0_303
    | ~ spl0_319
    | spl0_206
    | ~ spl0_418
    | ~ spl0_323
    | ~ spl0_371
    | spl0_370
    | spl0_346
    | spl0_4
    | spl0_200 ),
    inference(rat,[],[s31,s2900,s10594,s3483,s6240,s7380,s4257,s1798,s7723,s10383,s11106,s10352,s1831,s6976,s3832,s7381,s11107,s3706,s3271,s1688,s10,s1982,s10959,s10730,s11097]) ).

cnf(s11110,plain,
    ( ~ spl0_383
    | spl0_524
    | spl0_206
    | spl0_4
    | ~ spl0_443 ),
    inference(rat,[],[s3158,s7381,s3561,s10391,s10383,s10567,s1831,s5950,s11097]) ).

cnf(s11111,plain,
    ( ~ spl0_371
    | spl0_346
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s4821,s142,s307,s4810,s4850,s3499,s6969,s7892,s10168,s7381,s5510,s1724,s11110,s7380,s10257,s4972,s6114,s6957,s5700,s5901,s7764,s3436,s6955,s11108,s2737,s4453,s131,s7797,s8957,s6791,s2935,s11105,s3003,s37,s10600,s6960,s1688,s10,s1982,s11099,s6964,s11096,s10959,s10730,s11097]) ).

cnf(s11112,plain,
    ( spl0_346
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s7797,s4453,s5144,s10646,s1653,s4326,s2106,s5208,s7380,s9086,s2952,s10383,s10352,s1831,s6956,s6957,s6976,s7926,s6105,s8556,s1690,s11111,s10,s1982,s1688,s11099,s6964,s3984,s37,s10600,s11096,s10959,s10730,s11097]) ).

cnf(s11113,plain,
    ( ~ spl0_371
    | ~ spl0_303
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s10567,s6976,s1870,s3832,s8494,s7380,s7381,s6202,s67,s5208,s11107,s6240,s2002,s2106,s1688,s1649,s1872,s3706,s10418,s8957,s6791,s2935,s10,s10448,s2151,s10603,s6659,s6306,s4863,s8640,s3003,s37,s5950,s10600,s11112,s11096,s10730,s10959,s11097]) ).

cnf(s11114,plain,
    ( spl0_323
    | ~ spl0_303
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s162,s307,s272,s5249,s6239,s2650,s4005,s4785,s5948,s3652,s10470,s10674,s11110,s8494,s10977,s4256,s6182,s7380,s7382,s3605,s5208,s1870,s10397,s10383,s3734,s2106,s10567,s10352,s1831,s1649,s6957,s6976,s10418,s6105,s8556,s342,s10,s22,s67,s1982,s1688,s5077,s3175,s4860,s6303,s6173,s2151,s6964,s3984,s37,s5950,s10600,s11112,s11113,s11096,s10730,s10959,s11097]) ).

cnf(s11115,plain,
    ( ~ spl0_303
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s5461,s22,s6659,s342,s10594,s10418,s4257,s1649,s10383,s2645,s1831,s6957,s6976,s7381,s6105,s8556,s11107,s10,s1688,s1684,s1872,s3706,s8957,s6791,s2935,s11114,s11113,s10600,s11112,s11097,s11096,s10959,s10730]) ).

cnf(s11116,plain,
    ( ~ spl0_371
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s5689,s5016,s307,s6957,s6150,s3513,s4866,s1731,s7380,s3552,s6976,s8875,s5614,s3832,s1870,s6332,s7381,s2952,s10369,s10222,s10391,s10383,s2106,s4708,s4686,s2737,s1649,s5127,s4453,s131,s1872,s10418,s7506,s7797,s8957,s6791,s10,s10448,s2151,s10603,s6659,s6306,s4863,s8640,s3003,s6964,s37,s10600,s11112,s6955,s11115,s10730,s10959,s11097,s11096]) ).

cnf(s11117,plain,
    ( ~ spl0_370
    | ~ spl0_364
    | ~ spl0_320
    | spl0_323
    | ~ spl0_302
    | ~ spl0_308
    | ~ spl0_346
    | ~ spl0_11 ),
    inference(rat,[],[s7983,s7382,s10222,s10383,s4930,s4124,s1831,s131,s5520,s6794,s10,s1653,s10603,s10307,s5785,s1872,s10600,s10730,s11097,s11096]) ).

cnf(s11118,plain,
    ( spl0_370
    | ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s10,s6115,s1982,s6955,s11115,s1690,s11116]) ).

cnf(s11119,plain,
    ( ~ spl0_11
    | spl0_200 ),
    inference(rat,[],[s6552,s4866,s11117,s2106,s6062,s4326,s7190,s1653,s8957,s10307,s1872,s11118,s6957,s5027,s1690,s11116,s6955,s11115,s11112,s4221,s6964,s10730,s10959,s11096,s11097]) ).

cnf(s11120,plain,
    spl0_200,
    inference(rat,[],[s6115,s1690,s6955,s6453,s3271,s4828,s5661,s83,s6659,s10448,s10,s10418,s1684,s1872,s1649,s11039,s5018,s10785,s11119,s10959,s11097,s11096]) ).

cnf(s11121,plain,
    spl0_199,
    inference(rat,[],[s681,s11120]) ).

cnf(s11124,plain,
    ~ spl0_465,
    inference(rat,[],[s3953,s10730,s11120]) ).

cnf(s11125,plain,
    spl0_198,
    inference(rat,[],[s2295,s11097,s11120]) ).

cnf(s11126,plain,
    ( ~ spl0_370
    | spl0_323
    | ~ spl0_303
    | ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s1831,s10372,s5520,s7380,s5208,s2106,s4326,s10,s1653,s2154,s1690,s10307,s2611,s1872,s6960,s3984,s6173,s37,s10600,s11097,s10730,s10959,s11096]) ).

cnf(s11127,plain,
    ( ~ spl0_371
    | spl0_323
    | ~ spl0_303
    | ~ spl0_11 ),
    inference(rat,[],[s5609,s7601,s5127,s6957,s2219,s11100,s2067,s6080,s5651,s3003,s5950,s10600,s2151,s11120,s11097,s11096]) ).

cnf(s11128,plain,
    ( spl0_323
    | ~ spl0_303
    | ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s2106,s5208,s4326,s7380,s4144,s10372,s5975,s1831,s6976,s8556,s10,s2154,s11127,s11126,s6960,s3984,s37,s10600,s10959,s10730,s11096,s11120,s11097]) ).

cnf(s11129,plain,
    ( ~ spl0_303
    | ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s11078,s9050,s1724,s10364,s5975,s1872,s6468,s4144,s8957,s6791,s11128,s37,s10600,s11121,s11097,s10730,s11120,s11096]) ).

cnf(s11130,plain,
    ( spl0_201
    | ~ spl0_414
    | ~ spl0_345
    | ~ spl0_371
    | ~ spl0_348
    | ~ spl0_304
    | ~ spl0_11
    | ~ spl0_428 ),
    inference(rat,[],[s4238,s7382,s2851,s10275,s10215,s6969,s6659,s6872,s6446,s2503,s4936,s4453,s131,s1212,s4326,s6794,s7190,s1653,s4221,s37,s3003,s6080,s5950,s10600,s7380,s10249,s10730,s10959,s11121,s11120,s11096,s11097]) ).

cnf(s11131,plain,
    ( ~ spl0_371
    | spl0_323
    | ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s5837,s10172,s7381,s11101,s7382,s5305,s4360,s5901,s4238,s2952,s1688,s10364,s1872,s2405,s10322,s11130,s6957,s6101,s5609,s2096,s6258,s5752,s5127,s1724,s7380,s6114,s2219,s11068,s10249,s6080,s5651,s6960,s5950,s6955,s11129,s2151,s6173,s37,s10600,s11096,s10730,s11097,s11121,s11120,s11124]) ).

cnf(s11132,plain,
    ( ~ spl0_383
    | spl0_99
    | ~ spl0_370
    | ~ spl0_308
    | spl0_323
    | spl0_4
    | spl0_346 ),
    inference(rat,[],[s6241,s142,s4626,s3807,s1731,s4352,s5757,s6298,s4305,s6332,s7334,s7380,s7382,s7381,s1870,s10222,s10372,s10397,s5640,s10567,s1831,s6960,s3984,s5950,s5127,s10359,s1872,s4453,s37,s4930,s131,s11124,s11097,s10730]) ).

cnf(s11133,plain,
    ( spl0_323
    | ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s4391,s6109,s2669,s10354,s11132,s6794,s1653,s5127,s10307,s10359,s1872,s6115,s10,s2154,s1690,s11131,s10600,s5894,s6955,s11129,s11096,s10730,s11097]) ).

cnf(s11134,plain,
    ( ~ spl0_11
    | spl0_346 ),
    inference(rat,[],[s7798,s6957,s4972,s2828,s3003,s7506,s9050,s5127,s10364,s5975,s131,s1872,s4708,s6468,s4144,s7797,s8957,s6791,s11133,s6955,s11129,s4437,s37,s10600,s11120,s11125,s11097,s10730,s11121,s11096,s10959]) ).

cnf(s11135,plain,
    ( ~ spl0_303
    | spl0_11 ),
    inference(rat,[],[s10053,s10,s2219,s10603,s5126,s7380,s83,s5141,s10258,s5661,s2151,s4828,s3271,s11039,s5077,s5018,s11097,s11120,s10959,s11096]) ).

cnf(s11136,plain,
    spl0_346,
    inference(rat,[],[s4828,s5661,s6453,s83,s6659,s6959,s10594,s2214,s5901,s6955,s11135,s1688,s1872,s11039,s5018,s10785,s11134,s6960,s10959,s11097,s11096]) ).

cnf(s11138,plain,
    ~ spl0_303,
    inference(rat,[],[s9050,s11078,s1872,s10364,s5144,s10322,s6468,s1653,s1724,s9859,s2106,s5975,s5503,s6283,s2335,s10730,s11121,s11097,s11096,s10959,s11120,s11136]) ).

cnf(s11139,plain,
    spl0_304,
    inference(rat,[],[s6955,s11138]) ).

cnf(s11140,plain,
    ( spl0_319
    | spl0_360
    | ~ spl0_11 ),
    inference(rat,[],[s5123,s6957,s2503,s6101,s4326,s5609,s1653,s5127,s10307,s10359,s10959,s11136,s11121,s11139,s11096,s10730]) ).

cnf(s11141,plain,
    ( spl0_323
    | ~ spl0_11 ),
    inference(rat,[],[s10365,s6468,s1653,s10458,s1922,s10919,s6921,s10603,s10,s6115,s1872,s11140,s1690,s3003,s4860,s6303,s6173,s2151,s3984,s37,s10600,s11120,s11121,s11097,s11096,s11139,s11136]) ).

cnf(s11142,plain,
    ~ spl0_11,
    inference(rat,[],[s10,s8550,s1786,s5127,s10364,s5975,s4708,s6468,s4144,s11090,s6791,s11141,s4437,s37,s10600,s11136,s11139,s10730,s11120,s11121,s11097,s11096]) ).

cnf(s11143,plain,
    ~ spl0_309,
    inference(rat,[],[s10785,s11096,s11142]) ).

cnf(s11144,plain,
    spl0_23,
    inference(rat,[],[s5018,s11096,s11142]) ).

cnf(s11145,plain,
    spl0_319,
    inference(rat,[],[s11039,s11142]) ).

cnf(s11146,plain,
    spl0_305,
    inference(rat,[],[s1208,s11143]) ).

cnf(s11147,plain,
    ~ spl0_466,
    inference(rat,[],[s5077,s10959,s11144]) ).

cnf(s11148,plain,
    ~ spl0_370,
    inference(rat,[],[s1872,s11097,s11145]) ).

cnf(s11149,plain,
    spl0_313,
    inference(rat,[],[s1688,s11148]) ).

cnf(s11150,plain,
    spl0_323,
    inference(rat,[],[s6468,s6926,s5126,s5127,s2219,s2680,s10053,s6121,s10,s10189,s10603,s6659,s7380,s83,s10258,s5661,s2151,s11121,s11136,s11139,s11142,s11120,s11097,s11146,s11148,s11147,s10959,s11144]) ).

cnf(s11151,plain,
    spl0_360,
    inference(rat,[],[s4828,s11142,s11150]) ).

cnf(s11152,plain,
    spl0_560,
    inference(rat,[],[s4817,s11139,s11150]) ).

cnf(s11153,plain,
    ~ spl0_363,
    inference(rat,[],[s10257,s11147,s11151]) ).

cnf(s11154,plain,
    ~ spl0_10,
    inference(rat,[],[s4863,s11147,s11136,s11151]) ).

cnf(s11155,plain,
    ~ spl0_9,
    inference(rat,[],[s2651,s11136,s11151]) ).

cnf(s11156,plain,
    spl0_417,
    inference(rat,[],[s4860,s11097,s11136,s11151]) ).

cnf(s11157,plain,
    spl0_364,
    inference(rat,[],[s7380,s11153]) ).

cnf(s11158,plain,
    spl0_4,
    inference(rat,[],[s37,s11154]) ).

cnf(s11159,plain,
    ~ spl0_383,
    inference(rat,[],[s10352,s11097,s11155]) ).

cnf(s11160,plain,
    ~ spl0_302,
    inference(rat,[],[s3920,s11120,s11156]) ).

cnf(s11163,plain,
    ~ spl0_526,
    inference(rat,[],[s10483,s11148,s11158]) ).

cnf(s11164,plain,
    spl0_381,
    inference(rat,[],[s1724,s11159]) ).

cnf(s11165,plain,
    spl0_301,
    inference(rat,[],[s6957,s11160]) ).

cnf(s11167,plain,
    spl0_607,
    inference(rat,[],[s6101,s11139,s11165]) ).

cnf(s11170,plain,
    spl0_510,
    inference(rat,[],[s6396,s11143,s11165]) ).

cnf(s11171,plain,
    ~ spl0_122,
    inference(rat,[],[s10159,s11120,s11136,s11167]) ).

cnf(s11172,plain,
    ~ spl0_47,
    inference(rat,[],[s11056,s11136,s11120,s11167]) ).

cnf(s11174,plain,
    ( ~ spl0_100
    | spl0_206
    | spl0_38 ),
    inference(rat,[],[s5153,s7389,s171,s10637,s2278,s4972,s2737,s5289,s7383,s10240,s10730,s11151,s11167,s11144,s11147,s11170,s11157]) ).

cnf(s11175,plain,
    ( ~ spl0_94
    | ~ spl0_99
    | ~ spl0_371 ),
    inference(rat,[],[s6395,s4983,s6969,s6063,s4850,s186,s11165,s11150,s11152,s11125,s11171,s11142]) ).

cnf(s11176,plain,
    ( ~ spl0_99
    | ~ spl0_371 ),
    inference(rat,[],[s2640,s6969,s5373,s6543,s3952,s4964,s3782,s3966,s6268,s3667,s11175,s7351,s2732,s186,s6659,s4,s8,s10403,s4726,s7381,s5510,s10,s10603,s6446,s11139,s10959,s11151,s11096,s11145,s11142,s11097,s11155,s11148,s11164,s11172]) ).

cnf(s11177,plain,
    ~ spl0_371,
    inference(rat,[],[s10297,s1731,s3109,s5153,s2396,s5126,s171,s6406,s11174,s2278,s4972,s131,s11176,s5289,s7383,s10240,s2680,s6121,s10189,s6659,s6446,s11142,s11167,s11144,s11147,s11151,s11157,s11170,s11139,s11146,s11148,s10959,s11172]) ).

cnf(s11181,plain,
    spl0_195,
    inference(rat,[],[s9050,s11159,s10730,s11148,s11177]) ).

cnf(s11185,plain,
    ~ spl0_14,
    inference(rat,[],[s6105,s11165,s11149,s11177]) ).

cnf(s11190,plain,
    ~ spl0_217,
    inference(rat,[],[s10364,s10730,s11181]) ).

cnf(s11192,plain,
    spl0_13,
    inference(rat,[],[s10,s11185]) ).

cnf(s11195,plain,
    spl0_206,
    inference(rat,[],[s6468,s11121,s11190]) ).

cnf(s11200,plain,
    ~ spl0_418,
    inference(rat,[],[s9610,s11097,s11177,s11144,s11192]) ).

cnf(s11205,plain,
    ~ spl0_42,
    inference(rat,[],[s2977,s11143,s11163,s11195]) ).

cnf(s11218,plain,
    $false,
    inference(rat,[],[s6445,s11150,s11200,s11205]) ).

thf(f92710,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA160^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n016.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 19:10:50 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 0.08/0.25  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.38  % (778715)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.38  % (778722)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=619521102:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.38  % (778722)Instruction limit reached! 
% 0.21/0.38  % (778722)------------------------------
% 0.21/0.38  % (778722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38  % (778722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38  % (778722)CaDiCaL version: 2.1.3
% 0.21/0.38  % (778722)Termination reason: Instruction limit
% 0.21/0.38  % (778722)Termination phase: Saturation
% 0.21/0.38  % (778722)Time elapsed: 0.003 s
% 0.21/0.38  % (778722)Peak memory usage: 12 MB
% 0.21/0.38  % (778722)Instructions burned: 8 (million)
% 0.21/0.38  % (778720)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2137303534:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.38  % (778723)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2096432890:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.38  % (778721)lrs+10_16_si=on:nwc=1.5:random_seed=3864986248:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38  % (778728)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1448531642:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38  % (778721)Instruction limit reached! 
% 0.21/0.38  % (778721)------------------------------
% 0.21/0.38  % (778721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38  % (778721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38  % (778721)CaDiCaL version: 2.1.3
% 0.21/0.38  % (778721)Termination reason: Instruction limit
% 0.21/0.38  % (778721)Termination phase: Saturation
% 0.21/0.38  % (778721)Time elapsed: 0.010 s
% 0.21/0.38  % (778721)Peak memory usage: 12 MB
% 0.21/0.38  % (778721)Instructions burned: 20 (million)
% 0.21/0.38  % (778728)Instruction limit reached! 
% 0.21/0.38  % (778728)------------------------------
% 0.21/0.38  % (778728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38  % (778728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38  % (778728)CaDiCaL version: 2.1.3
% 0.21/0.38  % (778728)Termination reason: Instruction limit
% 0.21/0.38  % (778728)Termination phase: Saturation
% 0.21/0.38  % (778728)Time elapsed: 0.003 s
% 0.21/0.38  % (778728)Peak memory usage: 12 MB
% 0.21/0.38  % (778728)Instructions burned: 9 (million)
% 0.21/0.38  % (778726)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.38  % (778726)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.38  % (778725)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3953873712:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.38  % (778724)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=558260875:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.38  % (778734)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38  % (778726)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3803080884:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.38  % (778734)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2960726126:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.38  % (778734)Instruction limit reached! 
% 0.21/0.38  % (778734)------------------------------
% 0.21/0.38  % (778734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38  % (778734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38  % (778734)CaDiCaL version: 2.1.3
% 0.21/0.38  % (778734)Termination reason: Instruction limit
% 0.91/0.40  % (778734)Termination phase: Saturation
% 0.91/0.40  % (778734)Time elapsed: 0.003 s
% 0.91/0.40  % (778734)Peak memory usage: 12 MB
% 0.91/0.40  % (778734)Instructions burned: 10 (million)
% 0.91/0.40  % (778733)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=775386424:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.91/0.40  % (778733)Instruction limit reached! 
% 0.91/0.40  % (778733)------------------------------
% 0.91/0.40  % (778733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.40  % (778733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.40  % (778733)CaDiCaL version: 2.1.3
% 0.91/0.40  % (778733)Termination reason: Instruction limit
% 0.91/0.40  % (778733)Termination phase: Saturation
% 0.91/0.40  % (778733)Time elapsed: 0.004 s
% 0.91/0.40  % (778733)Peak memory usage: 12 MB
% 0.91/0.40  % (778733)Instructions burned: 5 (million)
% 0.91/0.40  % (778739)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2728457632:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.91/0.40  % (778720)Instruction limit reached! 
% 0.91/0.40  % (778720)------------------------------
% 0.91/0.40  % (778720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.40  % (778720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.40  % (778720)CaDiCaL version: 2.1.3
% 0.91/0.40  % (778720)Termination reason: Instruction limit
% 0.91/0.40  % (778720)Termination phase: Saturation
% 0.91/0.40  % (778720)Time elapsed: 0.037 s
% 0.91/0.40  % (778720)Peak memory usage: 12 MB
% 0.91/0.40  % (778720)Instructions burned: 89 (million)
% 0.91/0.40  % (778724)Instruction limit reached! 
% 0.91/0.40  % (778724)------------------------------
% 0.91/0.40  % (778724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.40  % (778724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.40  % (778724)CaDiCaL version: 2.1.3
% 0.91/0.40  % (778724)Termination reason: Instruction limit
% 0.91/0.40  % (778724)Termination phase: Saturation
% 0.91/0.40  % (778724)Time elapsed: 0.022 s
% 0.91/0.40  % (778724)Peak memory usage: 12 MB
% 0.91/0.40  % (778724)Instructions burned: 24 (million)
% 0.91/0.40  % (778739)Instruction limit reached! 
% 0.91/0.40  % (778739)------------------------------
% 0.91/0.40  % (778739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.40  % (778739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.40  % (778739)CaDiCaL version: 2.1.3
% 0.91/0.40  % (778739)Termination reason: Instruction limit
% 0.91/0.40  % (778739)Termination phase: Saturation
% 0.91/0.40  % (778739)Time elapsed: 0.004 s
% 0.91/0.40  % (778739)Peak memory usage: 12 MB
% 0.91/0.40  % (778739)Instructions burned: 13 (million)
% 0.91/0.40  % (778741)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.91/0.40  % (778741)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.40  % (778744)lrs+10_1_si=on:cs=on:random_seed=2859123512:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.91/0.40  % (778741)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1568816172:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.91/0.40  % (778744)Instruction limit reached! 
% 0.91/0.40  % (778744)------------------------------
% 0.91/0.40  % (778744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.40  % (778744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.40  % (778744)CaDiCaL version: 2.1.3
% 0.91/0.40  % (778744)Termination reason: Instruction limit
% 0.91/0.40  % (778744)Termination phase: Saturation
% 0.91/0.40  % (778744)Time elapsed: 0.002 s
% 0.91/0.40  % (778744)Peak memory usage: 12 MB
% 0.91/0.40  % (778744)Instructions burned: 9 (million)
% 0.91/0.40  % (778743)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2637580495:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.91/0.40  % (778748)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1919653920:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.91/0.44  % (778748)Refutation not found, incomplete strategy
% 0.91/0.44  % (778748)------------------------------
% 0.91/0.44  % (778748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778748)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778748)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.44  % (778748)Time elapsed: 0.0000 s
% 0.91/0.44  % (778748)Peak memory usage: 11 MB
% 0.91/0.44  % (778748)------------------------------
% 0.91/0.44  % (778748)------------------------------
% 0.91/0.44  % (778745)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.91/0.44  % (778741)Instruction limit reached! 
% 0.91/0.44  % (778741)------------------------------
% 0.91/0.44  % (778741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778741)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778741)Termination reason: Instruction limit
% 0.91/0.44  % (778741)Termination phase: Saturation
% 0.91/0.44  % (778741)Time elapsed: 0.015 s
% 0.91/0.44  % (778741)Peak memory usage: 12 MB
% 0.91/0.44  % (778741)Instructions burned: 30 (million)
% 0.91/0.44  % (778745)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=650284947:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.91/0.44  % (778745)Instruction limit reached! 
% 0.91/0.44  % (778745)------------------------------
% 0.91/0.44  % (778745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778745)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778745)Termination reason: Instruction limit
% 0.91/0.44  % (778745)Termination phase: Saturation
% 0.91/0.44  % (778745)Time elapsed: 0.002 s
% 0.91/0.44  % (778745)Peak memory usage: 11 MB
% 0.91/0.44  % (778745)Instructions burned: 2 (million)
% 0.91/0.44  % (778751)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=140676191:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.91/0.44  % (778751)Refutation not found, incomplete strategy
% 0.91/0.44  % (778751)------------------------------
% 0.91/0.44  % (778751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778751)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778751)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.44  % (778751)Time elapsed: 0.0000 s
% 0.91/0.44  % (778751)Peak memory usage: 11 MB
% 0.91/0.44  % (778725)Instruction limit reached! 
% 0.91/0.44  % (778725)------------------------------
% 0.91/0.44  % (778725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778725)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778725)Termination reason: Instruction limit
% 0.91/0.44  % (778725)Termination phase: Saturation
% 0.91/0.44  % (778725)Time elapsed: 0.063 s
% 0.91/0.44  % (778725)Peak memory usage: 12 MB
% 0.91/0.44  % (778725)Instructions burned: 76 (million)
% 0.91/0.44  % (778751)------------------------------
% 0.91/0.44  % (778751)------------------------------
% 0.91/0.44  % (778726)Instruction limit reached! 
% 0.91/0.44  % (778726)------------------------------
% 0.91/0.44  % (778726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44  % (778726)CaDiCaL version: 2.1.3
% 0.91/0.44  % (778726)Termination reason: Instruction limit
% 0.91/0.44  % (778726)Termination phase: Saturation
% 0.91/0.44  % (778726)Time elapsed: 0.068 s
% 0.91/0.44  % (778726)Peak memory usage: 12 MB
% 0.91/0.44  % (778726)Instructions burned: 158 (million)
% 0.91/0.44  % (778757)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2320754536:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.44  % (778757)Instruction limit reached! 
% 0.91/0.44  % (778757)------------------------------
% 0.91/0.44  % (778757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44  % (778757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778757)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778757)Termination reason: Instruction limit
% 0.91/0.48  % (778757)Termination phase: Saturation
% 0.91/0.48  % (778757)Time elapsed: 0.004 s
% 0.91/0.48  % (778757)Peak memory usage: 12 MB
% 0.91/0.48  % (778757)Instructions burned: 14 (million)
% 0.91/0.48  % (778743)Instruction limit reached! 
% 0.91/0.48  % (778743)------------------------------
% 0.91/0.48  % (778743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778743)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778743)Termination reason: Instruction limit
% 0.91/0.48  % (778743)Termination phase: Saturation
% 0.91/0.48  % (778743)Time elapsed: 0.041 s
% 0.91/0.48  % (778743)Peak memory usage: 12 MB
% 0.91/0.48  % (778743)Instructions burned: 87 (million)
% 0.91/0.48  % (778752)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4146924747:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.91/0.48  % (778752)Refutation not found, incomplete strategy
% 0.91/0.48  % (778752)------------------------------
% 0.91/0.48  % (778752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778752)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778752)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.48  % (778752)Time elapsed: 0.001 s
% 0.91/0.48  % (778752)Peak memory usage: 11 MB
% 0.91/0.48  % (778752)------------------------------
% 0.91/0.48  % (778752)------------------------------
% 0.91/0.48  % (778756)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3081932756:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.91/0.48  % (778760)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1195596878:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.91/0.48  % (778755)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1834046072:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.48  % (778756)Refutation not found, incomplete strategy
% 0.91/0.48  % (778756)------------------------------
% 0.91/0.48  % (778756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778756)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778756)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.48  % (778756)Time elapsed: 0.001 s
% 0.91/0.48  % (778756)Peak memory usage: 11 MB
% 0.91/0.48  % (778758)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1350307939:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.91/0.48  % (778758)Refutation not found, incomplete strategy
% 0.91/0.48  % (778758)------------------------------
% 0.91/0.48  % (778758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778756)------------------------------
% 0.91/0.48  % (778756)------------------------------
% 0.91/0.48  % (778758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778758)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778758)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.48  % (778758)Time elapsed: 0.001 s
% 0.91/0.48  % (778758)Peak memory usage: 11 MB
% 0.91/0.48  % (778758)------------------------------
% 0.91/0.48  % (778758)------------------------------
% 0.91/0.48  % (778755)Instruction limit reached! 
% 0.91/0.48  % (778755)------------------------------
% 0.91/0.48  % (778755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.48  % (778755)CaDiCaL version: 2.1.3
% 0.91/0.48  % (778755)Termination reason: Instruction limit
% 0.91/0.48  % (778755)Termination phase: Saturation
% 0.91/0.48  % (778755)Time elapsed: 0.009 s
% 0.91/0.48  % (778755)Peak memory usage: 12 MB
% 0.91/0.48  % (778755)Instructions burned: 15 (million)
% 0.91/0.48  % (778760)Instruction limit reached! 
% 0.91/0.48  % (778760)------------------------------
% 0.91/0.48  % (778760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.48  % (778760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52  % (778760)CaDiCaL version: 2.1.3
% 0.91/0.52  % (778760)Termination reason: Instruction limit
% 0.91/0.52  % (778760)Termination phase: Saturation
% 0.91/0.52  % (778760)Time elapsed: 0.012 s
% 0.91/0.52  % (778760)Peak memory usage: 12 MB
% 0.91/0.52  % (778760)Instructions burned: 28 (million)
% 0.91/0.52  % (778761)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=530197276:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.91/0.52  % (778768)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.91/0.52  % (778768)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.91/0.52  % (778768)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2880149216:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.52  % (778771)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=179735666:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.91/0.52  % (778769)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.91/0.52  % (778769)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2397162108:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.91/0.52  % (778763)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=923955373:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.91/0.52  % (778771)Instruction limit reached! 
% 0.91/0.52  % (778771)------------------------------
% 0.91/0.52  % (778771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52  % (778771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52  % (778771)CaDiCaL version: 2.1.3
% 0.91/0.52  % (778771)Termination reason: Instruction limit
% 0.91/0.52  % (778771)Termination phase: Saturation
% 0.91/0.52  % (778771)Time elapsed: 0.005 s
% 0.91/0.52  % (778771)Peak memory usage: 12 MB
% 0.91/0.52  % (778771)Instructions burned: 8 (million)
% 0.91/0.52  % (778768)Instruction limit reached! 
% 0.91/0.52  % (778768)------------------------------
% 0.91/0.52  % (778768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52  % (778768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52  % (778768)CaDiCaL version: 2.1.3
% 0.91/0.52  % (778768)Termination reason: Instruction limit
% 0.91/0.52  % (778768)Termination phase: Saturation
% 0.91/0.52  % (778768)Time elapsed: 0.015 s
% 0.91/0.52  % (778768)Peak memory usage: 12 MB
% 0.91/0.52  % (778768)Instructions burned: 14 (million)
% 0.91/0.52  % (778770)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2614066232:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.91/0.52  % (778777)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=369382483:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.91/0.52  % (778769)Instruction limit reached! 
% 0.91/0.52  % (778769)------------------------------
% 0.91/0.52  % (778769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52  % (778769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52  % (778769)CaDiCaL version: 2.1.3
% 0.91/0.52  % (778769)Termination reason: Instruction limit
% 0.91/0.52  % (778769)Termination phase: Saturation
% 0.91/0.52  % (778769)Time elapsed: 0.013 s
% 0.91/0.52  % (778769)Peak memory usage: 12 MB
% 0.91/0.52  % (778769)Instructions burned: 8 (million)
% 0.91/0.52  % (778761)Instruction limit reached! 
% 0.91/0.52  % (778761)------------------------------
% 0.91/0.52  % (778761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.52  % (778761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.52  % (778761)CaDiCaL version: 2.1.3
% 0.91/0.52  % (778761)Termination reason: Instruction limit
% 0.91/0.52  % (778761)Termination phase: Saturation
% 0.91/0.52  % (778761)Time elapsed: 0.025 s
% 1.56/0.60  % (778761)Peak memory usage: 12 MB
% 1.56/0.60  % (778761)Instructions burned: 24 (million)
% 1.56/0.60  % (778777)Instruction limit reached! 
% 1.56/0.60  % (778777)------------------------------
% 1.56/0.60  % (778777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778777)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778777)Termination reason: Instruction limit
% 1.56/0.60  % (778777)Termination phase: Saturation
% 1.56/0.60  % (778777)Time elapsed: 0.006 s
% 1.56/0.60  % (778777)Peak memory usage: 12 MB
% 1.56/0.60  % (778777)Instructions burned: 27 (million)
% 1.56/0.60  % (778783)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3650563783:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.56/0.60  % (778783)Refutation not found, incomplete strategy
% 1.56/0.60  % (778783)------------------------------
% 1.56/0.60  % (778783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778783)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778783)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.60  % (778783)Time elapsed: 0.0000 s
% 1.56/0.60  % (778783)Peak memory usage: 11 MB
% 1.56/0.60  % (778763)Instruction limit reached! 
% 1.56/0.60  % (778763)------------------------------
% 1.56/0.60  % (778763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778763)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778763)Termination reason: Instruction limit
% 1.56/0.60  % (778763)Termination phase: Saturation
% 1.56/0.60  % (778763)Time elapsed: 0.029 s
% 1.56/0.60  % (778763)Peak memory usage: 12 MB
% 1.56/0.60  % (778763)Instructions burned: 60 (million)
% 1.56/0.60  % (778783)------------------------------
% 1.56/0.60  % (778783)------------------------------
% 1.56/0.60  % (778778)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2054204700:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.56/0.60  % (778785)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1754660050:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.56/0.60  % (778778)Instruction limit reached! 
% 1.56/0.60  % (778778)------------------------------
% 1.56/0.60  % (778778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778778)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778778)Termination reason: Instruction limit
% 1.56/0.60  % (778778)Termination phase: Saturation
% 1.56/0.60  % (778778)Time elapsed: 0.010 s
% 1.56/0.60  % (778778)Peak memory usage: 12 MB
% 1.56/0.60  % (778778)Instructions burned: 21 (million)
% 1.56/0.60  % (778786)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.56/0.60  % (778785)Instruction limit reached! 
% 1.56/0.60  % (778785)------------------------------
% 1.56/0.60  % (778785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778785)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778785)Termination reason: Instruction limit
% 1.56/0.60  % (778785)Termination phase: Saturation
% 1.56/0.60  % (778785)Time elapsed: 0.011 s
% 1.56/0.60  % (778785)Peak memory usage: 12 MB
% 1.56/0.60  % (778785)Instructions burned: 47 (million)
% 1.56/0.60  % (778770)Instruction limit reached! 
% 1.56/0.60  % (778770)------------------------------
% 1.56/0.60  % (778770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.56/0.60  % (778770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/0.60  % (778770)CaDiCaL version: 2.1.3
% 1.56/0.60  % (778770)Termination reason: Instruction limit
% 1.56/0.60  % (778770)Termination phase: Saturation
% 1.56/0.60  % (778770)Time elapsed: 0.040 s
% 1.56/0.60  % (778770)Peak memory usage: 12 MB
% 1.56/0.60  % (778770)Instructions burned: 33 (million)
% 1.56/0.60  % (778786)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2773109432:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.56/0.60  % (778781)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4216770267:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.37/0.68  % (778782)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=326341437:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.37/0.68  % (778790)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3569700217:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.37/0.68  % (778786)Instruction limit reached! 
% 2.37/0.68  % (778786)------------------------------
% 2.37/0.68  % (778786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.68  % (778786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.68  % (778786)CaDiCaL version: 2.1.3
% 2.37/0.68  % (778786)Termination reason: Instruction limit
% 2.37/0.68  % (778786)Termination phase: Saturation
% 2.37/0.68  % (778786)Time elapsed: 0.007 s
% 2.37/0.68  % (778786)Peak memory usage: 12 MB
% 2.37/0.68  % (778786)Instructions burned: 7 (million)
% 2.37/0.68  % (778790)Refutation not found, incomplete strategy
% 2.37/0.68  % (778790)------------------------------
% 2.37/0.68  % (778790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.68  % (778790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.68  % (778790)CaDiCaL version: 2.1.3
% 2.37/0.68  % (778790)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.68  % (778790)Time elapsed: 0.0000 s
% 2.37/0.68  % (778790)Peak memory usage: 11 MB
% 2.37/0.68  % (778790)------------------------------
% 2.37/0.68  % (778790)------------------------------
% 2.37/0.68  % (778789)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2022269796:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.37/0.68  % (778789)Refutation not found, incomplete strategy
% 2.37/0.68  % (778789)------------------------------
% 2.37/0.68  % (778789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.68  % (778789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.68  % (778789)CaDiCaL version: 2.1.3
% 2.37/0.68  % (778789)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.68  % (778789)Time elapsed: 0.001 s
% 2.37/0.68  % (778789)Peak memory usage: 11 MB
% 2.37/0.68  % (778789)------------------------------
% 2.37/0.68  % (778789)------------------------------
% 2.37/0.68  % (778797)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2833532431:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.37/0.68  % (778797)Refutation not found, incomplete strategy
% 2.37/0.68  % (778797)------------------------------
% 2.37/0.68  % (778797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.68  % (778797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.68  % (778797)CaDiCaL version: 2.1.3
% 2.37/0.68  % (778797)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.68  % (778797)Time elapsed: 0.001 s
% 2.37/0.68  % (778797)Peak memory usage: 12 MB
% 2.37/0.68  % (778797)Instructions burned: 3 (million)
% 2.37/0.68  % (778797)------------------------------
% 2.37/0.68  % (778797)------------------------------
% 2.37/0.68  % (778791)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.68  % (778796)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2418540763:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.37/0.68  % (778802)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2806890487:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.37/0.68  % (778799)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1065225590:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.37/0.68  % (778791)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2026547510:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.64/0.72  % (778791)Refutation not found, incomplete strategy
% 2.64/0.72  % (778791)------------------------------
% 2.64/0.72  % (778791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.72  % (778791)CaDiCaL version: 2.1.3
% 2.64/0.72  % (778791)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.72  % (778791)Time elapsed: 0.001 s
% 2.64/0.72  % (778791)Peak memory usage: 11 MB
% 2.64/0.72  % (778791)Instructions burned: 2 (million)
% 2.64/0.72  % (778791)------------------------------
% 2.64/0.72  % (778791)------------------------------
% 2.64/0.72  % (778796)Instruction limit reached! 
% 2.64/0.72  % (778796)------------------------------
% 2.64/0.72  % (778796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.72  % (778796)CaDiCaL version: 2.1.3
% 2.64/0.72  % (778796)Termination reason: Instruction limit
% 2.64/0.72  % (778796)Termination phase: Saturation
% 2.64/0.72  % (778796)Time elapsed: 0.011 s
% 2.64/0.72  % (778796)Peak memory usage: 12 MB
% 2.64/0.72  % (778796)Instructions burned: 24 (million)
% 2.64/0.72  % (778808)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1690387335:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.64/0.72  % (778808)Refutation not found, incomplete strategy
% 2.64/0.72  % (778808)------------------------------
% 2.64/0.72  % (778808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.72  % (778808)CaDiCaL version: 2.1.3
% 2.64/0.72  % (778808)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.72  % (778808)Time elapsed: 0.001 s
% 2.64/0.72  % (778808)Peak memory usage: 12 MB
% 2.64/0.72  % (778808)Instructions burned: 1 (million)
% 2.64/0.72  % (778808)------------------------------
% 2.64/0.72  % (778808)------------------------------
% 2.64/0.72  % (778723)Instruction limit reached! 
% 2.64/0.72  % (778723)------------------------------
% 2.64/0.72  % (778723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.72  % (778723)CaDiCaL version: 2.1.3
% 2.64/0.72  % (778723)Termination reason: Instruction limit
% 2.64/0.72  % (778723)Termination phase: Saturation
% 2.64/0.72  % (778723)Time elapsed: 0.271 s
% 2.64/0.72  % (778723)Peak memory usage: 13 MB
% 2.64/0.72  % (778723)Instructions burned: 636 (million)
% 2.64/0.72  % (778807)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3533326625:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.64/0.72  % (778810)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3879350165:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.64/0.72  % (778810)Instruction limit reached! 
% 2.64/0.72  % (778810)------------------------------
% 2.64/0.72  % (778810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.72  % (778810)CaDiCaL version: 2.1.3
% 2.64/0.72  % (778810)Termination reason: Instruction limit
% 2.64/0.72  % (778810)Termination phase: Saturation
% 2.64/0.72  % (778810)Time elapsed: 0.012 s
% 2.64/0.72  % (778810)Peak memory usage: 12 MB
% 2.64/0.72  % (778810)Instructions burned: 22 (million)
% 2.64/0.72  % (778811)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.64/0.72  % (778811)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2111028619:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.64/0.72  % (778814)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2868680516:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.64/0.72  % (778814)Instruction limit reached! 
% 2.64/0.72  % (778814)------------------------------
% 2.64/0.72  % (778814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.72  % (778814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778814)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778814)Termination reason: Instruction limit
% 2.64/0.75  % (778814)Termination phase: Saturation
% 2.64/0.75  % (778814)Time elapsed: 0.008 s
% 2.64/0.75  % (778814)Peak memory usage: 12 MB
% 2.64/0.75  % (778814)Instructions burned: 15 (million)
% 2.64/0.75  % (778782)Instruction limit reached! 
% 2.64/0.75  % (778782)------------------------------
% 2.64/0.75  % (778782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778782)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778782)Termination reason: Instruction limit
% 2.64/0.75  % (778782)Termination phase: Saturation
% 2.64/0.75  % (778782)Time elapsed: 0.119 s
% 2.64/0.75  % (778782)Peak memory usage: 12 MB
% 2.64/0.75  % (778782)Instructions burned: 145 (million)
% 2.64/0.75  % (778807)Instruction limit reached! 
% 2.64/0.75  % (778807)------------------------------
% 2.64/0.75  % (778807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778807)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778807)Termination reason: Instruction limit
% 2.64/0.75  % (778807)Termination phase: Saturation
% 2.64/0.75  % (778807)Time elapsed: 0.050 s
% 2.64/0.75  % (778807)Peak memory usage: 12 MB
% 2.64/0.75  % (778807)Instructions burned: 46 (million)
% 2.64/0.75  % (778818)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1662642135:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.64/0.75  % (778818)Refutation not found, incomplete strategy
% 2.64/0.75  % (778818)------------------------------
% 2.64/0.75  % (778818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778818)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778818)Termination reason: Refutation not found, incomplete strategy
% 2.64/0.75  % (778818)Time elapsed: 0.001 s
% 2.64/0.75  % (778818)Peak memory usage: 12 MB
% 2.64/0.75  % (778818)Instructions burned: 1 (million)
% 2.64/0.75  % (778818)------------------------------
% 2.64/0.75  % (778818)------------------------------
% 2.64/0.75  % (778817)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3503257416:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.64/0.75  % (778819)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1879350761:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.64/0.75  % (778821)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3387073790:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.64/0.75  % (778799)Instruction limit reached! 
% 2.64/0.75  % (778799)------------------------------
% 2.64/0.75  % (778799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778799)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778799)Termination reason: Instruction limit
% 2.64/0.75  % (778799)Termination phase: Saturation
% 2.64/0.75  % (778799)Time elapsed: 0.162 s
% 2.64/0.75  % (778799)Peak memory usage: 13 MB
% 2.64/0.75  % (778799)Instructions burned: 316 (million)
% 2.64/0.75  % (778819)Instruction limit reached! 
% 2.64/0.75  % (778819)------------------------------
% 2.64/0.75  % (778819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778819)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778819)Termination reason: Instruction limit
% 2.64/0.75  % (778819)Termination phase: Saturation
% 2.64/0.75  % (778819)Time elapsed: 0.037 s
% 2.64/0.75  % (778819)Peak memory usage: 12 MB
% 2.64/0.75  % (778819)Instructions burned: 33 (million)
% 2.64/0.75  % (778811)Instruction limit reached! 
% 2.64/0.75  % (778811)------------------------------
% 2.64/0.75  % (778811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.64/0.75  % (778811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/0.75  % (778811)CaDiCaL version: 2.1.3
% 2.64/0.75  % (778811)Termination reason: Instruction limit
% 2.64/0.75  % (778811)Termination phase: Saturation
% 2.64/0.75  % (778811)Time elapsed: 0.099 s
% 3.00/0.81  % (778811)Peak memory usage: 13 MB
% 3.00/0.81  % (778811)Instructions burned: 201 (million)
% 3.00/0.81  % (778817)Instruction limit reached! 
% 3.00/0.81  % (778817)------------------------------
% 3.00/0.81  % (778817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778817)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778817)Termination reason: Instruction limit
% 3.00/0.81  % (778817)Termination phase: Saturation
% 3.00/0.81  % (778817)Time elapsed: 0.051 s
% 3.00/0.81  % (778817)Peak memory usage: 12 MB
% 3.00/0.81  % (778817)Instructions burned: 67 (million)
% 3.00/0.81  % (778821)Instruction limit reached! 
% 3.00/0.81  % (778821)------------------------------
% 3.00/0.81  % (778821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778821)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778821)Termination reason: Instruction limit
% 3.00/0.81  % (778821)Termination phase: Saturation
% 3.00/0.81  % (778821)Time elapsed: 0.048 s
% 3.00/0.81  % (778821)Peak memory usage: 12 MB
% 3.00/0.81  % (778821)Instructions burned: 139 (million)
% 3.00/0.81  % (778802)Instruction limit reached! 
% 3.00/0.81  % (778802)------------------------------
% 3.00/0.81  % (778802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778802)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778802)Termination reason: Instruction limit
% 3.00/0.81  % (778802)Termination phase: Saturation
% 3.00/0.81  % (778802)Time elapsed: 0.183 s
% 3.00/0.81  % (778802)Peak memory usage: 13 MB
% 3.00/0.81  % (778802)Instructions burned: 854 (million)
% 3.00/0.81  % (778827)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.00/0.81  % (778827)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3360555600:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.00/0.81  % (778830)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3170368868:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.00/0.81  % (778830)Refutation not found, incomplete strategy
% 3.00/0.81  % (778830)------------------------------
% 3.00/0.81  % (778830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778830)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778830)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.81  % (778830)Time elapsed: 0.0000 s
% 3.00/0.81  % (778830)Peak memory usage: 11 MB
% 3.00/0.81  % (778828)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1046805862:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.00/0.81  % (778830)------------------------------
% 3.00/0.81  % (778830)------------------------------
% 3.00/0.81  % (778828)Refutation not found, incomplete strategy
% 3.00/0.81  % (778828)------------------------------
% 3.00/0.81  % (778828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778828)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778828)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.81  % (778828)Time elapsed: 0.001 s
% 3.00/0.81  % (778828)Peak memory usage: 11 MB
% 3.00/0.81  % (778828)------------------------------
% 3.00/0.81  % (778828)------------------------------
% 3.00/0.81  % (778829)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=547922437:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.00/0.81  % (778826)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1220358435:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.00/0.81  % (778826)Refutation not found, incomplete strategy
% 3.00/0.81  % (778826)------------------------------
% 3.00/0.81  % (778826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81  % (778826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81  % (778826)CaDiCaL version: 2.1.3
% 3.00/0.81  % (778826)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.81  % (778826)Time elapsed: 0.001 s
% 3.00/0.81  % (778826)Peak memory usage: 12 MB
% 3.00/0.87  % (778826)Instructions burned: 1 (million)
% 3.00/0.87  % (778825)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3404854220:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.00/0.87  % (778834)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3638914384:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.00/0.87  % (778834)Refutation not found, incomplete strategy
% 3.00/0.87  % (778834)------------------------------
% 3.00/0.87  % (778834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (778834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (778834)CaDiCaL version: 2.1.3
% 3.00/0.87  % (778834)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.87  % (778834)Time elapsed: 0.0000 s
% 3.00/0.87  % (778834)Peak memory usage: 11 MB
% 3.00/0.87  % (778834)------------------------------
% 3.00/0.87  % (778834)------------------------------
% 3.00/0.87  % (778826)------------------------------
% 3.00/0.87  % (778826)------------------------------
% 3.00/0.87  % (778835)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=706874743:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.00/0.87  % (778835)Refutation not found, incomplete strategy
% 3.00/0.87  % (778835)------------------------------
% 3.00/0.87  % (778835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (778835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (778835)CaDiCaL version: 2.1.3
% 3.00/0.87  % (778835)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.87  % (778835)Time elapsed: 0.001 s
% 3.00/0.87  % (778835)Peak memory usage: 12 MB
% 3.00/0.87  % (778835)Instructions burned: 1 (million)
% 3.00/0.87  % (778840)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=505908680:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.00/0.87  % (778835)------------------------------
% 3.00/0.87  % (778835)------------------------------
% 3.00/0.87  % (778840)Refutation not found, incomplete strategy
% 3.00/0.87  % (778840)------------------------------
% 3.00/0.87  % (778840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (778840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (778840)CaDiCaL version: 2.1.3
% 3.00/0.87  % (778840)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.87  % (778840)Time elapsed: 0.0000 s
% 3.00/0.87  % (778840)Peak memory usage: 11 MB
% 3.00/0.87  % (778840)Instructions burned: 2 (million)
% 3.00/0.87  % (778840)------------------------------
% 3.00/0.87  % (778840)------------------------------
% 3.00/0.87  % (778844)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2998530607:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.00/0.87  % (778844)Refutation not found, incomplete strategy
% 3.00/0.87  % (778844)------------------------------
% 3.00/0.87  % (778844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (778844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (778844)CaDiCaL version: 2.1.3
% 3.00/0.87  % (778844)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.87  % (778844)Time elapsed: 0.0000 s
% 3.00/0.87  % (778844)Peak memory usage: 12 MB
% 3.00/0.87  % (778844)Instructions burned: 1 (million)
% 3.00/0.87  % (778844)------------------------------
% 3.00/0.87  % (778844)------------------------------
% 3.00/0.87  % (778845)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1626110198:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.00/0.87  % (778847)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3772589375:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.00/0.87  % (778825)Instruction limit reached! 
% 3.00/0.87  % (778825)------------------------------
% 3.00/0.87  % (778825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.87  % (778825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.87  % (778825)CaDiCaL version: 2.1.3
% 3.00/0.87  % (778825)Termination reason: Instruction limit
% 3.00/0.87  % (778825)Termination phase: Saturation
% 3.00/0.87  % (778825)Time elapsed: 0.035 s
% 3.56/0.96  % (778825)Peak memory usage: 12 MB
% 3.56/0.96  % (778825)Instructions burned: 35 (million)
% 3.56/0.96  % (778829)Instruction limit reached! 
% 3.56/0.96  % (778829)------------------------------
% 3.56/0.96  % (778829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.96  % (778829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.96  % (778829)CaDiCaL version: 2.1.3
% 3.56/0.96  % (778829)Termination reason: Instruction limit
% 3.56/0.96  % (778829)Termination phase: Saturation
% 3.56/0.96  % (778829)Time elapsed: 0.040 s
% 3.56/0.96  % (778829)Peak memory usage: 12 MB
% 3.56/0.96  % (778829)Instructions burned: 98 (million)
% 3.56/0.96  % (778841)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2406687010:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.56/0.96  % (778847)Instruction limit reached! 
% 3.56/0.96  % (778847)------------------------------
% 3.56/0.96  % (778847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.96  % (778847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.96  % (778847)CaDiCaL version: 2.1.3
% 3.56/0.96  % (778847)Termination reason: Instruction limit
% 3.56/0.96  % (778847)Termination phase: Saturation
% 3.56/0.96  % (778847)Time elapsed: 0.021 s
% 3.56/0.96  % (778847)Peak memory usage: 12 MB
% 3.56/0.96  % (778847)Instructions burned: 95 (million)
% 3.56/0.96  % (778851)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3562499821:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.56/0.96  % (778854)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3840611021:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.56/0.96  % (778854)Refutation not found, incomplete strategy
% 3.56/0.96  % (778854)------------------------------
% 3.56/0.96  % (778854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.96  % (778854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.96  % (778854)CaDiCaL version: 2.1.3
% 3.56/0.96  % (778854)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.96  % (778854)Time elapsed: 0.0000 s
% 3.56/0.96  % (778854)Peak memory usage: 12 MB
% 3.56/0.96  % (778854)Instructions burned: 1 (million)
% 3.56/0.96  % (778854)------------------------------
% 3.56/0.96  % (778854)------------------------------
% 3.56/0.96  % (778850)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3900406807:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.56/0.96  % (778856)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3479135878:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.56/0.96  % (778856)Refutation not found, incomplete strategy
% 3.56/0.96  % (778856)------------------------------
% 3.56/0.96  % (778856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.96  % (778856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.96  % (778856)CaDiCaL version: 2.1.3
% 3.56/0.96  % (778856)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.96  % (778856)Time elapsed: 0.0000 s
% 3.56/0.96  % (778856)Peak memory usage: 11 MB
% 3.56/0.96  % (778856)------------------------------
% 3.56/0.96  % (778856)------------------------------
% 3.56/0.96  % (778841)Instruction limit reached! 
% 3.56/0.96  % (778841)------------------------------
% 3.56/0.96  % (778841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.96  % (778841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.96  % (778841)CaDiCaL version: 2.1.3
% 3.56/0.96  % (778841)Termination reason: Instruction limit
% 3.56/0.96  % (778841)Termination phase: Saturation
% 3.56/0.96  % (778841)Time elapsed: 0.045 s
% 3.56/0.96  % (778841)Peak memory usage: 12 MB
% 3.56/0.96  % (778841)Instructions burned: 44 (million)
% 3.56/0.96  % (778859)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3435137681:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.69/1.05  % (778827)Instruction limit reached! 
% 4.69/1.05  % (778827)------------------------------
% 4.69/1.05  % (778827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778827)CaDiCaL version: 2.1.3
% 4.69/1.05  % (778827)Termination reason: Instruction limit
% 4.69/1.05  % (778827)Termination phase: Saturation
% 4.69/1.05  % (778827)Time elapsed: 0.104 s
% 4.69/1.05  % (778827)Peak memory usage: 12 MB
% 4.69/1.05  % (778827)Instructions burned: 180 (million)
% 4.69/1.05  % (778862)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2996746854:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 4.69/1.05  % (778850)Instruction limit reached! 
% 4.69/1.05  % (778850)------------------------------
% 4.69/1.05  % (778850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778850)CaDiCaL version: 2.1.3
% 4.69/1.05  % (778850)Termination reason: Instruction limit
% 4.69/1.05  % (778850)Termination phase: Saturation
% 4.69/1.05  % (778850)Time elapsed: 0.040 s
% 4.69/1.05  % (778850)Peak memory usage: 12 MB
% 4.69/1.05  % (778850)Instructions burned: 65 (million)
% 4.69/1.05  % (778851)Instruction limit reached! 
% 4.69/1.05  % (778851)------------------------------
% 4.69/1.05  % (778851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778851)CaDiCaL version: 2.1.3
% 4.69/1.05  % (778851)Termination reason: Instruction limit
% 4.69/1.05  % (778851)Termination phase: Saturation
% 4.69/1.05  % (778851)Time elapsed: 0.064 s
% 4.69/1.05  % (778851)Peak memory usage: 13 MB
% 4.69/1.05  % (778851)Instructions burned: 106 (million)
% 4.69/1.05  % (778861)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2506681189:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.69/1.05  % (778864)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3229389493:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.69/1.05  % (778864)Refutation not found, incomplete strategy
% 4.69/1.05  % (778864)------------------------------
% 4.69/1.05  % (778864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778864)CaDiCaL version: 2.1.3
% 4.69/1.05  % (778864)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.05  % (778864)Time elapsed: 0.001 s
% 4.69/1.05  % (778864)Peak memory usage: 11 MB
% 4.69/1.05  % (778864)------------------------------
% 4.69/1.05  % (778864)------------------------------
% 4.69/1.05  % (778865)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3077445737:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.69/1.05  % (778865)Instruction limit reached! 
% 4.69/1.05  % (778865)------------------------------
% 4.69/1.05  % (778865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778865)CaDiCaL version: 2.1.3
% 4.69/1.05  % (778865)Termination reason: Instruction limit
% 4.69/1.05  % (778865)Termination phase: Saturation
% 4.69/1.05  % (778865)Time elapsed: 0.010 s
% 4.69/1.05  % (778865)Peak memory usage: 12 MB
% 4.69/1.05  % (778865)Instructions burned: 22 (million)
% 4.69/1.05  % (778862)Instruction limit reached! 
% 4.69/1.05  % (778862)------------------------------
% 4.69/1.05  % (778862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778868)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3871913401:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.69/1.05  % (778861)Instruction limit reached! 
% 4.69/1.05  % (778861)------------------------------
% 4.69/1.05  % (778861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.05  % (778861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.05  % (778861)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778861)Termination reason: Instruction limit
% 4.69/1.11  % (778861)Termination phase: Saturation
% 4.69/1.11  % (778861)Time elapsed: 0.030 s
% 4.69/1.11  % (778861)Peak memory usage: 12 MB
% 4.69/1.11  % (778861)Instructions burned: 34 (million)
% 4.69/1.11  % (778862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (778862)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778862)Termination reason: Instruction limit
% 4.69/1.11  % (778862)Termination phase: Saturation
% 4.69/1.11  % (778862)Time elapsed: 0.043 s
% 4.69/1.11  % (778862)Peak memory usage: 12 MB
% 4.69/1.11  % (778862)Instructions burned: 100 (million)
% 4.69/1.11  % (778873)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2658976293:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 4.69/1.11  % (778872)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.69/1.11  % (778870)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1204412284:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 4.69/1.11  % (778870)Refutation not found, incomplete strategy
% 4.69/1.11  % (778870)------------------------------
% 4.69/1.11  % (778870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (778870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (778870)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778870)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.11  % (778870)Time elapsed: 0.001 s
% 4.69/1.11  % (778870)Peak memory usage: 11 MB
% 4.69/1.11  % (778870)------------------------------
% 4.69/1.11  % (778870)------------------------------
% 4.69/1.11  % (778872)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=430587338:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.69/1.11  % (778845)Instruction limit reached! 
% 4.69/1.11  % (778845)------------------------------
% 4.69/1.11  % (778845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (778845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (778845)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778845)Termination reason: Instruction limit
% 4.69/1.11  % (778845)Termination phase: Saturation
% 4.69/1.11  % (778845)Time elapsed: 0.166 s
% 4.69/1.11  % (778845)Peak memory usage: 13 MB
% 4.69/1.11  % (778845)Instructions burned: 450 (million)
% 4.69/1.11  % (778859)Instruction limit reached! 
% 4.69/1.11  % (778859)------------------------------
% 4.69/1.11  % (778859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (778859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (778859)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778859)Termination reason: Instruction limit
% 4.69/1.11  % (778859)Termination phase: Saturation
% 4.69/1.11  % (778859)Time elapsed: 0.114 s
% 4.69/1.11  % (778859)Peak memory usage: 13 MB
% 4.69/1.11  % (778859)Instructions burned: 499 (million)
% 4.69/1.11  % (778878)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.69/1.11  % (778879)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2671292935:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 4.69/1.11  % (778878)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4164697143:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 4.69/1.11  % (778876)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1210650812:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 4.69/1.11  % (778876)Refutation not found, incomplete strategy
% 4.69/1.11  % (778876)------------------------------
% 4.69/1.11  % (778876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.11  % (778876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.11  % (778876)CaDiCaL version: 2.1.3
% 4.69/1.11  % (778876)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.11  % (778876)Time elapsed: 0.0000 s
% 4.69/1.11  % (778876)Peak memory usage: 11 MB
% 4.69/1.11  % (778876)------------------------------
% 4.69/1.11  % (778876)------------------------------
% 4.69/1.11  % (778879)Instruction limit reached! 
% 4.69/1.14  % (778879)------------------------------
% 4.69/1.14  % (778879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.14  % (778879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.14  % (778879)CaDiCaL version: 2.1.3
% 4.69/1.14  % (778879)Termination reason: Instruction limit
% 4.69/1.14  % (778879)Termination phase: Saturation
% 4.69/1.14  % (778879)Time elapsed: 0.032 s
% 4.69/1.14  % (778879)Peak memory usage: 12 MB
% 4.69/1.14  % (778879)Instructions burned: 121 (million)
% 4.69/1.14  % (778883)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=943351237:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 4.69/1.14  % (778884)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2277908673:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 4.69/1.14  % (778883)Refutation not found, incomplete strategy
% 4.69/1.14  % (778883)------------------------------
% 4.69/1.14  % (778883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.14  % (778883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.14  % (778883)CaDiCaL version: 2.1.3
% 4.69/1.14  % (778883)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.14  % (778883)Time elapsed: 0.005 s
% 4.69/1.14  % (778883)Peak memory usage: 11 MB
% 4.69/1.14  % (778883)Instructions burned: 1 (million)
% 4.69/1.14  % (778883)------------------------------
% 4.69/1.14  % (778883)------------------------------
% 4.69/1.14  % (778872)Instruction limit reached! 
% 4.69/1.14  % (778872)------------------------------
% 4.69/1.14  % (778872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.14  % (778872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.14  % (778872)CaDiCaL version: 2.1.3
% 4.69/1.14  % (778872)Termination reason: Instruction limit
% 4.69/1.14  % (778872)Termination phase: Saturation
% 4.69/1.14  % (778872)Time elapsed: 0.106 s
% 4.69/1.14  % (778872)Peak memory usage: 12 MB
% 4.69/1.14  % (778872)Instructions burned: 140 (million)
% 4.69/1.14  % (778887)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1796453821:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 4.69/1.14  % (778868)Instruction limit reached! 
% 4.69/1.14  % (778868)------------------------------
% 4.69/1.14  % (778868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.14  % (778868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.14  % (778868)CaDiCaL version: 2.1.3
% 4.69/1.14  % (778868)Termination reason: Instruction limit
% 4.69/1.14  % (778868)Termination phase: Saturation
% 4.69/1.14  % (778868)Time elapsed: 0.146 s
% 4.69/1.14  % (778868)Peak memory usage: 14 MB
% 4.69/1.14  % (778868)Instructions burned: 338 (million)
% 4.69/1.14  % (778890)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 4.69/1.14  % (778890)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2307373291:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 4.69/1.14  % (778884)Instruction limit reached! 
% 4.69/1.14  % (778884)------------------------------
% 4.69/1.14  % (778884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.69/1.14  % (778884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.14  % (778884)CaDiCaL version: 2.1.3
% 4.69/1.14  % (778884)Termination reason: Instruction limit
% 4.69/1.14  % (778884)Termination phase: Saturation
% 4.69/1.14  % (778884)Time elapsed: 0.066 s
% 4.69/1.14  % (778884)Peak memory usage: 12 MB
% 4.69/1.14  % (778884)Instructions burned: 272 (million)
% 4.69/1.14  % (778889)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1627053274:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 4.69/1.14  % (778889)Refutation not found, incomplete strategy
% 4.69/1.14  % (778889)------------------------------
% 4.69/1.14  % (778889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778889)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778889)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.27  % (778889)Time elapsed: 0.001 s
% 5.59/1.27  % (778889)Peak memory usage: 11 MB
% 5.59/1.27  % (778892)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2058887191:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.59/1.27  % (778889)------------------------------
% 5.59/1.27  % (778889)------------------------------
% 5.59/1.27  % (778892)Instruction limit reached! 
% 5.59/1.27  % (778892)------------------------------
% 5.59/1.27  % (778892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778892)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778892)Termination reason: Instruction limit
% 5.59/1.27  % (778892)Termination phase: Saturation
% 5.59/1.27  % (778892)Time elapsed: 0.008 s
% 5.59/1.27  % (778892)Peak memory usage: 12 MB
% 5.59/1.27  % (778892)Instructions burned: 33 (million)
% 5.59/1.27  % (778895)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.59/1.27  % (778895)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.59/1.27  % (778895)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1877361448:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.59/1.27  % (778896)dis+10_2_sil=128000:si=on:random_seed=3994135793:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 5.59/1.27  % (778896)Refutation not found, incomplete strategy
% 5.59/1.27  % (778896)------------------------------
% 5.59/1.27  % (778896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778896)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778896)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.27  % (778896)Time elapsed: 0.0000 s
% 5.59/1.27  % (778896)Peak memory usage: 11 MB
% 5.59/1.27  % (778896)------------------------------
% 5.59/1.27  % (778896)------------------------------
% 5.59/1.27  % (778899)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2999851890:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 5.59/1.27  % (778873)Instruction limit reached! 
% 5.59/1.27  % (778873)------------------------------
% 5.59/1.27  % (778873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778873)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778873)Termination reason: Instruction limit
% 5.59/1.27  % (778873)Termination phase: Saturation
% 5.59/1.27  % (778873)Time elapsed: 0.198 s
% 5.59/1.27  % (778873)Peak memory usage: 13 MB
% 5.59/1.27  % (778873)Instructions burned: 340 (million)
% 5.59/1.27  % (778901)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3863248682:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 5.59/1.27  % (778901)Refutation not found, incomplete strategy
% 5.59/1.27  % (778901)------------------------------
% 5.59/1.27  % (778901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778901)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778901)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.27  % (778901)Time elapsed: 0.001 s
% 5.59/1.27  % (778901)Peak memory usage: 12 MB
% 5.59/1.27  % (778878)Instruction limit reached! 
% 5.59/1.27  % (778878)------------------------------
% 5.59/1.27  % (778878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.59/1.27  % (778878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.27  % (778878)CaDiCaL version: 2.1.3
% 5.59/1.27  % (778878)Termination reason: Instruction limit
% 5.96/1.36  % (778878)Termination phase: Saturation
% 5.96/1.36  % (778878)Time elapsed: 0.176 s
% 5.96/1.36  % (778878)Peak memory usage: 13 MB
% 5.96/1.36  % (778878)Instructions burned: 373 (million)
% 5.96/1.36  % (778899)Instruction limit reached! 
% 5.96/1.36  % (778899)------------------------------
% 5.96/1.36  % (778899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.36  % (778899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.36  % (778899)CaDiCaL version: 2.1.3
% 5.96/1.36  % (778899)Termination reason: Instruction limit
% 5.96/1.36  % (778899)Termination phase: Saturation
% 5.96/1.36  % (778899)Time elapsed: 0.028 s
% 5.96/1.36  % (778899)Peak memory usage: 12 MB
% 5.96/1.36  % (778899)Instructions burned: 116 (million)
% 5.96/1.36  % (778901)------------------------------
% 5.96/1.36  % (778901)------------------------------
% 5.96/1.36  % (778904)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3637572021:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 5.96/1.36  % (778904)Refutation not found, incomplete strategy
% 5.96/1.36  % (778904)------------------------------
% 5.96/1.37  % (778904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.37  % (778904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.37  % (778904)CaDiCaL version: 2.1.3
% 5.96/1.37  % (778904)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.37  % (778904)Time elapsed: 0.0000 s
% 5.96/1.37  % (778904)Peak memory usage: 11 MB
% 5.96/1.37  % (778904)------------------------------
% 5.96/1.37  % (778904)------------------------------
% 5.96/1.37  % (778903)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=1259426748:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 5.96/1.37  % (778903)Refutation not found, incomplete strategy
% 5.96/1.37  % (778903)------------------------------
% 5.96/1.37  % (778903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.37  % (778903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.37  % (778903)CaDiCaL version: 2.1.3
% 5.96/1.37  % (778903)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.37  % (778903)Time elapsed: 0.001 s
% 5.96/1.37  % (778903)Peak memory usage: 12 MB
% 5.96/1.37  % (778903)Instructions burned: 1 (million)
% 5.96/1.37  % (778903)------------------------------
% 5.96/1.37  % (778903)------------------------------
% 5.96/1.37  % (778905)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=3280431244:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 5.96/1.37  % (778905)Refutation not found, incomplete strategy
% 5.96/1.37  % (778905)------------------------------
% 5.96/1.37  % (778905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.37  % (778905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.37  % (778905)CaDiCaL version: 2.1.3
% 5.96/1.37  % (778905)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.37  % (778905)Time elapsed: 0.002 s
% 5.96/1.37  % (778905)Peak memory usage: 12 MB
% 5.96/1.37  % (778905)Instructions burned: 3 (million)
% 5.96/1.37  % (778905)------------------------------
% 5.96/1.37  % (778905)------------------------------
% 5.96/1.37  % (778909)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=615565144:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 5.96/1.37  % (778909)Refutation not found, incomplete strategy
% 5.96/1.37  % (778909)------------------------------
% 5.96/1.37  % (778909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.37  % (778909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.37  % (778909)CaDiCaL version: 2.1.3
% 5.96/1.37  % (778909)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.37  % (778909)Time elapsed: 0.001 s
% 5.96/1.37  % (778909)Peak memory usage: 12 MB
% 5.96/1.37  % (778909)Instructions burned: 3 (million)
% 5.96/1.37  % (778909)------------------------------
% 5.96/1.37  % (778909)------------------------------
% 5.96/1.37  % (778890)Instruction limit reached! 
% 5.96/1.37  % (778890)------------------------------
% 5.96/1.37  % (778890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.37  % (778890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.46  % (778890)CaDiCaL version: 2.1.3
% 6.46/1.46  % (778890)Termination reason: Instruction limit
% 6.46/1.46  % (778890)Termination phase: Saturation
% 6.46/1.46  % (778890)Time elapsed: 0.107 s
% 6.46/1.46  % (778890)Peak memory usage: 12 MB
% 6.46/1.46  % (778890)Instructions burned: 270 (million)
% 6.46/1.46  % (778907)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.46/1.46  % (778907)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3426937643:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.46/1.46  % (778913)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1279880633:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.46/1.46  % (778913)Refutation not found, incomplete strategy
% 6.46/1.46  % (778913)------------------------------
% 6.46/1.46  % (778913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.46  % (778913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.46  % (778913)CaDiCaL version: 2.1.3
% 6.46/1.46  % (778913)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.46  % (778913)Time elapsed: 0.0000 s
% 6.46/1.46  % (778913)Peak memory usage: 11 MB
% 6.46/1.46  % (778913)------------------------------
% 6.46/1.46  % (778913)------------------------------
% 6.46/1.46  % (778911)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=609003165:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.46/1.46  % (778914)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2809075350:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.46/1.46  % (778914)Refutation not found, incomplete strategy
% 6.46/1.46  % (778914)------------------------------
% 6.46/1.46  % (778914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.46  % (778914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.46  % (778914)CaDiCaL version: 2.1.3
% 6.46/1.46  % (778914)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.46  % (778914)Time elapsed: 0.001 s
% 6.46/1.46  % (778914)Peak memory usage: 11 MB
% 6.46/1.46  % (778914)------------------------------
% 6.46/1.46  % (778914)------------------------------
% 6.46/1.46  % (778917)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=65758711:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 6.46/1.46  % (778917)Refutation not found, incomplete strategy
% 6.46/1.46  % (778917)------------------------------
% 6.46/1.46  % (778917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.46  % (778917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.46  % (778917)CaDiCaL version: 2.1.3
% 6.46/1.46  % (778917)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.46  % (778917)Time elapsed: 0.0000 s
% 6.46/1.46  % (778917)Peak memory usage: 11 MB
% 6.46/1.46  % (778917)Instructions burned: 2 (million)
% 6.46/1.46  % (778917)------------------------------
% 6.46/1.46  % (778917)------------------------------
% 6.46/1.46  % (778921)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3246552388:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 6.46/1.46  % (778922)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3509197423:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 6.46/1.46  % (778921)Instruction limit reached! 
% 6.46/1.46  % (778921)------------------------------
% 6.46/1.46  % (778921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.46  % (778921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.46  % (778921)CaDiCaL version: 2.1.3
% 6.46/1.46  % (778921)Termination reason: Instruction limit
% 6.46/1.46  % (778921)Termination phase: Saturation
% 6.46/1.46  % (778921)Time elapsed: 0.071 s
% 6.46/1.46  % (778921)Peak memory usage: 12 MB
% 6.46/1.46  % (778921)Instructions burned: 152 (million)
% 6.46/1.46  % (778925)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3354141910:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 7.49/1.65  % (778925)Refutation not found, incomplete strategy
% 7.49/1.65  % (778925)------------------------------
% 7.49/1.65  % (778925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778925)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778925)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.65  % (778925)Time elapsed: 0.001 s
% 7.49/1.65  % (778925)Peak memory usage: 11 MB
% 7.49/1.65  % (778925)Instructions burned: 1 (million)
% 7.49/1.65  % (778925)------------------------------
% 7.49/1.65  % (778925)------------------------------
% 7.49/1.65  % (778922)Instruction limit reached! 
% 7.49/1.65  % (778922)------------------------------
% 7.49/1.65  % (778922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778922)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778922)Termination reason: Instruction limit
% 7.49/1.65  % (778922)Termination phase: Saturation
% 7.49/1.65  % (778922)Time elapsed: 0.075 s
% 7.49/1.65  % (778922)Peak memory usage: 12 MB
% 7.49/1.65  % (778922)Instructions burned: 77 (million)
% 7.49/1.65  % (778928)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2352296585:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 7.49/1.65  % (778927)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1799378083:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 7.49/1.65  % (778781)Instruction limit reached! 
% 7.49/1.65  % (778781)------------------------------
% 7.49/1.65  % (778781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778781)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778781)Termination reason: Instruction limit
% 7.49/1.65  % (778781)Termination phase: Saturation
% 7.49/1.65  % (778781)Time elapsed: 0.834 s
% 7.49/1.65  % (778781)Peak memory usage: 13 MB
% 7.49/1.65  % (778781)Instructions burned: 1241 (million)
% 7.49/1.65  % (778928)Instruction limit reached! 
% 7.49/1.65  % (778928)------------------------------
% 7.49/1.65  % (778928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778928)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778928)Termination reason: Instruction limit
% 7.49/1.65  % (778928)Termination phase: Saturation
% 7.49/1.65  % (778928)Time elapsed: 0.034 s
% 7.49/1.65  % (778928)Peak memory usage: 12 MB
% 7.49/1.65  % (778928)Instructions burned: 165 (million)
% 7.49/1.65  % (778932)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2104919473:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 7.49/1.65  % (778931)lrs+10_1_sil=128000:si=on:random_seed=3872776699:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 7.49/1.65  % (778931)Refutation not found, incomplete strategy
% 7.49/1.65  % (778931)------------------------------
% 7.49/1.65  % (778931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778931)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778931)Termination reason: Refutation not found, incomplete strategy
% 7.49/1.65  % (778931)Time elapsed: 0.001 s
% 7.49/1.65  % (778931)Peak memory usage: 11 MB
% 7.49/1.65  % (778931)------------------------------
% 7.49/1.65  % (778931)------------------------------
% 7.49/1.65  % (778927)Instruction limit reached! 
% 7.49/1.65  % (778927)------------------------------
% 7.49/1.65  % (778927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/1.65  % (778927)CaDiCaL version: 2.1.3
% 7.49/1.65  % (778927)Termination reason: Instruction limit
% 7.49/1.65  % (778927)Termination phase: Saturation
% 7.49/1.65  % (778927)Time elapsed: 0.066 s
% 7.49/1.65  % (778927)Peak memory usage: 12 MB
% 7.49/1.65  % (778927)Instructions burned: 149 (million)
% 7.49/1.65  % (778907)Instruction limit reached! 
% 7.49/1.65  % (778907)------------------------------
% 7.49/1.65  % (778907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.49/1.65  % (778907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.88  % (778907)CaDiCaL version: 2.1.3
% 8.54/1.88  % (778907)Termination reason: Instruction limit
% 8.54/1.88  % (778907)Termination phase: Saturation
% 8.54/1.88  % (778907)Time elapsed: 0.212 s
% 8.54/1.88  % (778907)Peak memory usage: 13 MB
% 8.54/1.88  % (778907)Instructions burned: 281 (million)
% 8.54/1.88  % (778932)Instruction limit reached! 
% 8.54/1.88  % (778932)------------------------------
% 8.54/1.88  % (778932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.88  % (778932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.88  % (778932)CaDiCaL version: 2.1.3
% 8.54/1.88  % (778932)Termination reason: Instruction limit
% 8.54/1.88  % (778932)Termination phase: Saturation
% 8.54/1.88  % (778932)Time elapsed: 0.034 s
% 8.54/1.88  % (778932)Peak memory usage: 12 MB
% 8.54/1.88  % (778932)Instructions burned: 138 (million)
% 8.54/1.88  % (778938)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2083571066:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 8.54/1.88  % (778936)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4189602277:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 8.54/1.88  % (778937)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3816415828:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 8.54/1.88  % (778935)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3804511154:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 8.54/1.88  % (778936)Instruction limit reached! 
% 8.54/1.88  % (778936)------------------------------
% 8.54/1.88  % (778936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.88  % (778936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.88  % (778936)CaDiCaL version: 2.1.3
% 8.54/1.88  % (778936)Termination reason: Instruction limit
% 8.54/1.88  % (778936)Termination phase: Saturation
% 8.54/1.88  % (778936)Time elapsed: 0.044 s
% 8.54/1.88  % (778936)Peak memory usage: 12 MB
% 8.54/1.88  % (778936)Instructions burned: 95 (million)
% 8.54/1.88  % (778938)Instruction limit reached! 
% 8.54/1.88  % (778938)------------------------------
% 8.54/1.88  % (778938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.88  % (778938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.88  % (778938)CaDiCaL version: 2.1.3
% 8.54/1.88  % (778938)Termination reason: Instruction limit
% 8.54/1.88  % (778938)Termination phase: Saturation
% 8.54/1.88  % (778938)Time elapsed: 0.048 s
% 8.54/1.88  % (778938)Peak memory usage: 12 MB
% 8.54/1.88  % (778938)Instructions burned: 241 (million)
% 8.54/1.88  % (778944)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.54/1.88  % (778944)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=178075173:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 8.54/1.88  % (778944)Refutation not found, incomplete strategy
% 8.54/1.88  % (778944)------------------------------
% 8.54/1.88  % (778944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/1.88  % (778944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/1.88  % (778944)CaDiCaL version: 2.1.3
% 8.54/1.88  % (778944)Termination reason: Refutation not found, incomplete strategy
% 8.54/1.88  % (778944)Time elapsed: 0.0000 s
% 8.54/1.88  % (778944)Peak memory usage: 11 MB
% 8.54/1.88  % (778944)Instructions burned: 2 (million)
% 8.54/1.88  % (778944)------------------------------
% 8.54/1.88  % (778944)------------------------------
% 8.54/1.88  % (778943)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2212104495:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 8.54/1.88  % (778946)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2612644320:i=355:av=off:fsr=off:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/355Mi)
% 8.54/1.88  % (778935)Instruction limit reached! 
% 8.54/1.88  % (778935)------------------------------
% 8.54/1.88  % (778935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778935)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778935)Termination reason: Instruction limit
% 11.31/2.04  % (778935)Termination phase: Saturation
% 11.31/2.04  % (778935)Time elapsed: 0.070 s
% 11.31/2.04  % (778935)Peak memory usage: 13 MB
% 11.31/2.04  % (778935)Instructions burned: 89 (million)
% 11.31/2.04  % (778949)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=515984226:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 11.31/2.04  % (778949)Refutation not found, incomplete strategy
% 11.31/2.04  % (778949)------------------------------
% 11.31/2.04  % (778949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778949)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778949)Termination reason: Refutation not found, incomplete strategy
% 11.31/2.04  % (778949)Time elapsed: 0.004 s
% 11.31/2.04  % (778949)Peak memory usage: 11 MB
% 11.31/2.04  % (778949)------------------------------
% 11.31/2.04  % (778949)------------------------------
% 11.31/2.04  % (778951)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3140013482:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 11.31/2.04  % (778946)Instruction limit reached! 
% 11.31/2.04  % (778946)------------------------------
% 11.31/2.04  % (778946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778946)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778946)Termination reason: Instruction limit
% 11.31/2.04  % (778946)Termination phase: Saturation
% 11.31/2.04  % (778946)Time elapsed: 0.082 s
% 11.31/2.04  % (778946)Peak memory usage: 12 MB
% 11.31/2.04  % (778946)Instructions burned: 360 (million)
% 11.31/2.04  % (778953)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2602097293:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2987 on theBenchmark for (2987ds/2470Mi)
% 11.31/2.04  % (778911)Instruction limit reached! 
% 11.31/2.04  % (778911)------------------------------
% 11.31/2.04  % (778911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778911)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778911)Termination reason: Instruction limit
% 11.31/2.04  % (778911)Termination phase: Saturation
% 11.31/2.04  % (778911)Time elapsed: 0.438 s
% 11.31/2.04  % (778911)Peak memory usage: 15 MB
% 11.31/2.04  % (778911)Instructions burned: 866 (million)
% 11.31/2.04  % (778895)Instruction limit reached! 
% 11.31/2.04  % (778895)------------------------------
% 11.31/2.04  % (778895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778895)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778895)Termination reason: Instruction limit
% 11.31/2.04  % (778895)Termination phase: Saturation
% 11.31/2.04  % (778895)Time elapsed: 0.539 s
% 11.31/2.04  % (778895)Peak memory usage: 13 MB
% 11.31/2.04  % (778895)Instructions burned: 1440 (million)
% 11.31/2.04  % (778955)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3009768020:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 11.31/2.04  % (778951)Instruction limit reached! 
% 11.31/2.04  % (778951)------------------------------
% 11.31/2.04  % (778951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.31/2.04  % (778951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.31/2.04  % (778951)CaDiCaL version: 2.1.3
% 11.31/2.04  % (778951)Termination reason: Instruction limit
% 11.31/2.04  % (778951)Termination phase: Saturation
% 11.31/2.04  % (778951)Time elapsed: 0.111 s
% 11.31/2.04  % (778951)Peak memory usage: 12 MB
% 11.31/2.04  % (778951)Instructions burned: 253 (million)
% 11.31/2.04  % (778956)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2164966275:i=116:ep=RSTC:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/116Mi)
% 11.31/2.04  % (778958)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=666783727:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 11.98/2.15  % (778956)Instruction limit reached! 
% 11.98/2.15  % (778956)------------------------------
% 11.98/2.15  % (778956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778956)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778956)Termination reason: Instruction limit
% 11.98/2.15  % (778956)Termination phase: Saturation
% 11.98/2.15  % (778956)Time elapsed: 0.085 s
% 11.98/2.15  % (778956)Peak memory usage: 12 MB
% 11.98/2.15  % (778956)Instructions burned: 116 (million)
% 11.98/2.15  % (778961)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=540608240:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2985 on theBenchmark for (2985ds/30Mi)
% 11.98/2.15  % (778961)Instruction limit reached! 
% 11.98/2.15  % (778961)------------------------------
% 11.98/2.15  % (778961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778961)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778961)Termination reason: Instruction limit
% 11.98/2.15  % (778961)Termination phase: Saturation
% 11.98/2.15  % (778961)Time elapsed: 0.022 s
% 11.98/2.15  % (778961)Peak memory usage: 12 MB
% 11.98/2.15  % (778961)Instructions burned: 30 (million)
% 11.98/2.15  % (778943)Instruction limit reached! 
% 11.98/2.15  % (778943)------------------------------
% 11.98/2.15  % (778943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778943)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778943)Termination reason: Instruction limit
% 11.98/2.15  % (778943)Termination phase: Saturation
% 11.98/2.15  % (778943)Time elapsed: 0.353 s
% 11.98/2.15  % (778943)Peak memory usage: 14 MB
% 11.98/2.15  % (778943)Instructions burned: 806 (million)
% 11.98/2.15  % (778958)Instruction limit reached! 
% 11.98/2.15  % (778958)------------------------------
% 11.98/2.15  % (778958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778958)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778958)Termination reason: Instruction limit
% 11.98/2.15  % (778958)Termination phase: Saturation
% 11.98/2.15  % (778958)Time elapsed: 0.147 s
% 11.98/2.15  % (778958)Peak memory usage: 12 MB
% 11.98/2.15  % (778958)Instructions burned: 273 (million)
% 11.98/2.15  % (778964)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3727939056:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/365Mi)
% 11.98/2.15  % (778963)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 11.98/2.15  % (778965)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3268379994:i=158:av=off:rtra=on_2984 on theBenchmark for (2984ds/158Mi)
% 11.98/2.15  % (778963)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3244752383:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2984 on theBenchmark for (2984ds/39Mi)
% 11.98/2.15  % (778963)Instruction limit reached! 
% 11.98/2.15  % (778963)------------------------------
% 11.98/2.15  % (778963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778963)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778963)Termination reason: Instruction limit
% 11.98/2.15  % (778963)Termination phase: Saturation
% 11.98/2.15  % (778963)Time elapsed: 0.034 s
% 11.98/2.15  % (778963)Peak memory usage: 12 MB
% 11.98/2.15  % (778963)Instructions burned: 40 (million)
% 11.98/2.15  % (778965)Instruction limit reached! 
% 11.98/2.15  % (778965)------------------------------
% 11.98/2.15  % (778965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/2.15  % (778965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15  % (778965)CaDiCaL version: 2.1.3
% 11.98/2.15  % (778965)Termination reason: Instruction limit
% 11.98/2.15  % (778965)Termination phase: Saturation
% 11.98/2.15  % (778965)Time elapsed: 0.065 s
% 12.25/2.26  % (778965)Peak memory usage: 12 MB
% 12.25/2.26  % (778965)Instructions burned: 159 (million)
% 12.25/2.26  % (778969)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.25/2.26  % (778969)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3727102866:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/252Mi)
% 12.25/2.26  % (778970)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3388700299:i=213:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/213Mi)
% 12.25/2.26  % (778970)Refutation not found, incomplete strategy
% 12.25/2.26  % (778970)------------------------------
% 12.25/2.26  % (778970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.25/2.26  % (778970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.26  % (778970)CaDiCaL version: 2.1.3
% 12.25/2.26  % (778970)Termination reason: Refutation not found, incomplete strategy
% 12.25/2.26  % (778970)Time elapsed: 0.001 s
% 12.25/2.26  % (778970)Peak memory usage: 11 MB
% 12.25/2.26  % (778970)------------------------------
% 12.25/2.26  % (778970)------------------------------
% 12.25/2.26  % (778955)Instruction limit reached! 
% 12.25/2.26  % (778955)------------------------------
% 12.25/2.26  % (778955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.25/2.26  % (778955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.26  % (778955)CaDiCaL version: 2.1.3
% 12.25/2.26  % (778955)Termination reason: Instruction limit
% 12.25/2.26  % (778955)Termination phase: Saturation
% 12.25/2.26  % (778955)Time elapsed: 0.293 s
% 12.25/2.26  % (778955)Peak memory usage: 13 MB
% 12.25/2.26  % (778955)Instructions burned: 675 (million)
% 12.25/2.26  % (778973)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=4192100072:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/160Mi)
% 12.25/2.26  % (778973)Refutation not found, incomplete strategy
% 12.25/2.26  % (778973)------------------------------
% 12.25/2.26  % (778973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.25/2.26  % (778973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.26  % (778973)CaDiCaL version: 2.1.3
% 12.25/2.26  % (778973)Termination reason: Refutation not found, incomplete strategy
% 12.25/2.26  % (778973)Time elapsed: 0.001 s
% 12.25/2.26  % (778973)Peak memory usage: 11 MB
% 12.25/2.26  % (778973)Instructions burned: 1 (million)
% 12.25/2.26  % (778973)------------------------------
% 12.25/2.26  % (778973)------------------------------
% 12.25/2.26  % (778974)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2032234590:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/763Mi)
% 12.25/2.26  % (778976)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.25/2.26  % (778976)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1895320386:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2983 on theBenchmark for (2983ds/237Mi)
% 12.25/2.26  % (778976)Refutation not found, incomplete strategy
% 12.25/2.26  % (778976)------------------------------
% 12.25/2.26  % (778976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.25/2.26  % (778976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.25/2.26  % (778976)CaDiCaL version: 2.1.3
% 12.25/2.26  % (778976)Termination reason: Refutation not found, incomplete strategy
% 12.25/2.26  % (778976)Time elapsed: 0.0000 s
% 12.25/2.26  % (778976)Peak memory usage: 11 MB
% 12.25/2.26  % (778976)------------------------------
% 12.25/2.26  % (778976)------------------------------
% 12.25/2.26  % (778979)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=173230479:s2a=on:i=386:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/386Mi)
% 12.25/2.26  % (778964)Instruction limit reached! 
% 12.25/2.26  % (778964)------------------------------
% 12.25/2.26  % (778964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778964)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778964)Termination reason: Instruction limit
% 12.94/2.30  % (778964)Termination phase: Saturation
% 12.94/2.30  % (778964)Time elapsed: 0.221 s
% 12.94/2.30  % (778964)Peak memory usage: 13 MB
% 12.94/2.30  % (778964)Instructions burned: 366 (million)
% 12.94/2.30  % (778981)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3437851599:i=300:piset=and:nm=32:rtra=on_2982 on theBenchmark for (2982ds/300Mi)
% 12.94/2.30  % (778969)Instruction limit reached! 
% 12.94/2.30  % (778969)------------------------------
% 12.94/2.30  % (778969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778969)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778969)Termination reason: Instruction limit
% 12.94/2.30  % (778969)Termination phase: Saturation
% 12.94/2.30  % (778969)Time elapsed: 0.175 s
% 12.94/2.30  % (778969)Peak memory usage: 12 MB
% 12.94/2.30  % (778969)Instructions burned: 253 (million)
% 12.94/2.30  % (778983)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=777720788:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/567Mi)
% 12.94/2.30  % (778983)Refutation not found, incomplete strategy
% 12.94/2.30  % (778983)------------------------------
% 12.94/2.30  % (778983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778983)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778983)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.30  % (778983)Time elapsed: 0.001 s
% 12.94/2.30  % (778983)Peak memory usage: 11 MB
% 12.94/2.30  % (778983)Instructions burned: 2 (million)
% 12.94/2.30  % (778983)------------------------------
% 12.94/2.30  % (778983)------------------------------
% 12.94/2.30  % (778985)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=765751894:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2981 on theBenchmark for (2981ds/379Mi)
% 12.94/2.30  % (778985)Refutation not found, incomplete strategy
% 12.94/2.30  % (778985)------------------------------
% 12.94/2.30  % (778985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778985)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778985)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.30  % (778985)Time elapsed: 0.001 s
% 12.94/2.30  % (778985)Peak memory usage: 11 MB
% 12.94/2.30  % (778985)------------------------------
% 12.94/2.30  % (778985)------------------------------
% 12.94/2.30  % (778953)Instruction limit reached! 
% 12.94/2.30  % (778953)------------------------------
% 12.94/2.30  % (778953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778953)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778953)Termination reason: Instruction limit
% 12.94/2.30  % (778953)Termination phase: Saturation
% 12.94/2.30  % (778953)Time elapsed: 0.580 s
% 12.94/2.30  % (778953)Peak memory usage: 15 MB
% 12.94/2.30  % (778953)Instructions burned: 2474 (million)
% 12.94/2.30  % (778988)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2402364632:i=478:bd=all:rtra=on_2981 on theBenchmark for (2981ds/478Mi)
% 12.94/2.30  % (778988)Refutation not found, incomplete strategy
% 12.94/2.30  % (778988)------------------------------
% 12.94/2.30  % (778988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.30  % (778988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.30  % (778988)CaDiCaL version: 2.1.3
% 12.94/2.30  % (778988)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.30  % (778988)Time elapsed: 0.0000 s
% 12.94/2.30  % (778988)Peak memory usage: 12 MB
% 12.94/2.30  % (778988)Instructions burned: 1 (million)
% 12.94/2.30  % (778988)------------------------------
% 12.94/2.30  % (778988)------------------------------
% 12.94/2.30  % (778987)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=4025048647:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2981 on theBenchmark for (2981ds/429Mi)
% 12.94/2.30  % (778990)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4218112230:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2981 on theBenchmark for (2981ds/445Mi)
% 12.94/2.35  % (778937)Instruction limit reached! 
% 12.94/2.35  % (778937)------------------------------
% 12.94/2.35  % (778937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778937)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778937)Termination reason: Instruction limit
% 12.94/2.35  % (778937)Termination phase: Saturation
% 12.94/2.35  % (778937)Time elapsed: 0.812 s
% 12.94/2.35  % (778937)Peak memory usage: 13 MB
% 12.94/2.35  % (778937)Instructions burned: 2186 (million)
% 12.94/2.35  % (778981)Instruction limit reached! 
% 12.94/2.35  % (778981)------------------------------
% 12.94/2.35  % (778981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778981)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778981)Termination reason: Instruction limit
% 12.94/2.35  % (778981)Termination phase: Saturation
% 12.94/2.35  % (778981)Time elapsed: 0.153 s
% 12.94/2.35  % (778981)Peak memory usage: 12 MB
% 12.94/2.35  % (778981)Instructions burned: 300 (million)
% 12.94/2.35  % (778993)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3108952321:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/71Mi)
% 12.94/2.35  % (778994)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1504347388:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/302Mi)
% 12.94/2.35  % (778994)Refutation not found, incomplete strategy
% 12.94/2.35  % (778994)------------------------------
% 12.94/2.35  % (778994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778994)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778994)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.35  % (778994)Time elapsed: 0.001 s
% 12.94/2.35  % (778994)Peak memory usage: 11 MB
% 12.94/2.35  % (778994)------------------------------
% 12.94/2.35  % (778994)------------------------------
% 12.94/2.35  % (778974)Instruction limit reached! 
% 12.94/2.35  % (778974)------------------------------
% 12.94/2.35  % (778974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778974)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778974)Termination reason: Instruction limit
% 12.94/2.35  % (778974)Termination phase: Saturation
% 12.94/2.35  % (778974)Time elapsed: 0.299 s
% 12.94/2.35  % (778974)Peak memory usage: 13 MB
% 12.94/2.35  % (778974)Instructions burned: 770 (million)
% 12.94/2.35  % (778997)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2394031013:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/4980Mi)
% 12.94/2.35  % (778998)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.94/2.35  % (778998)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 12.94/2.35  % (778997)Refutation not found, incomplete strategy
% 12.94/2.35  % (778997)------------------------------
% 12.94/2.35  % (778997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778997)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778997)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.35  % (778997)Time elapsed: 0.001 s
% 12.94/2.35  % (778997)Peak memory usage: 11 MB
% 12.94/2.35  % (778993)Instruction limit reached! 
% 12.94/2.35  % (778993)------------------------------
% 12.94/2.35  % (778993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.35  % (778993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.35  % (778993)CaDiCaL version: 2.1.3
% 12.94/2.35  % (778993)Termination reason: Instruction limit
% 12.94/2.35  % (778993)Termination phase: Saturation
% 12.94/2.35  % (778993)Time elapsed: 0.037 s
% 12.94/2.35  % (778993)Peak memory usage: 12 MB
% 12.94/2.35  % (778993)Instructions burned: 72 (million)
% 12.94/2.35  % (778997)------------------------------
% 12.94/2.35  % (778997)------------------------------
% 12.94/2.35  % (778998)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2967641689:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2980 on theBenchmark for (2980ds/100Mi)
% 13.90/2.57  % (778979)Instruction limit reached! 
% 13.90/2.57  % (778979)------------------------------
% 13.90/2.57  % (778979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.57  % (778979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.57  % (778979)CaDiCaL version: 2.1.3
% 13.90/2.57  % (778979)Termination reason: Instruction limit
% 13.90/2.57  % (778979)Termination phase: Saturation
% 13.90/2.57  % (778979)Time elapsed: 0.292 s
% 13.90/2.57  % (778979)Peak memory usage: 12 MB
% 13.90/2.57  % (778979)Instructions burned: 386 (million)
% 13.90/2.57  % (778990)Instruction limit reached! 
% 13.90/2.57  % (778990)------------------------------
% 13.90/2.57  % (778990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.57  % (778990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.57  % (778990)CaDiCaL version: 2.1.3
% 13.90/2.57  % (778990)Termination reason: Instruction limit
% 13.90/2.57  % (778990)Termination phase: Saturation
% 13.90/2.57  % (778990)Time elapsed: 0.121 s
% 13.90/2.57  % (778990)Peak memory usage: 14 MB
% 13.90/2.57  % (778990)Instructions burned: 446 (million)
% 13.90/2.57  % (779000)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1500023156:i=76:piset=equals:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/76Mi)
% 13.90/2.57  % (779004)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=27413868:cond=on:i=34:hud=10:nm=10:rtra=on_2979 on theBenchmark for (2979ds/34Mi)
% 13.90/2.57  % (779001)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=793493324:i=289:rtra=on_2980 on theBenchmark for (2980ds/289Mi)
% 13.90/2.57  % (779004)Instruction limit reached! 
% 13.90/2.57  % (779004)------------------------------
% 13.90/2.57  % (779004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.57  % (779004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.57  % (779004)CaDiCaL version: 2.1.3
% 13.90/2.57  % (779004)Termination reason: Instruction limit
% 13.90/2.57  % (779004)Termination phase: Saturation
% 13.90/2.57  % (779004)Time elapsed: 0.010 s
% 13.90/2.57  % (779004)Peak memory usage: 12 MB
% 13.90/2.57  % (779004)Instructions burned: 37 (million)
% 13.90/2.57  % (779001)Refutation not found, incomplete strategy
% 13.90/2.57  % (779001)------------------------------
% 13.90/2.57  % (779001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.57  % (779001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.57  % (779001)CaDiCaL version: 2.1.3
% 13.90/2.57  % (779001)Termination reason: Refutation not found, incomplete strategy
% 13.90/2.57  % (779001)Time elapsed: 0.001 s
% 13.90/2.57  % (779001)Peak memory usage: 12 MB
% 13.90/2.57  % (779001)Instructions burned: 1 (million)
% 13.90/2.57  % (779001)------------------------------
% 13.90/2.57  % (779001)------------------------------
% 13.90/2.57  % (779003)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=3716078919:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2979 on theBenchmark for (2979ds/493Mi)
% 13.90/2.57  % (779008)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.90/2.57  % (779008)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1288521941:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2979 on theBenchmark for (2979ds/372Mi)
% 13.90/2.57  % (779008)Refutation not found, incomplete strategy
% 13.90/2.57  % (779008)------------------------------
% 13.90/2.57  % (779008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.90/2.57  % (779008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.57  % (779008)CaDiCaL version: 2.1.3
% 13.90/2.57  % (779008)Termination reason: Refutation not found, incomplete strategy
% 13.90/2.57  % (779008)Time elapsed: 0.001 s
% 13.90/2.57  % (779008)Peak memory usage: 12 MB
% 13.90/2.57  % (779008)Instructions burned: 3 (million)
% 13.90/2.57  % (779008)------------------------------
% 13.90/2.57  % (779008)------------------------------
% 14.04/2.69  % (778998)Instruction limit reached! 
% 14.04/2.69  % (778998)------------------------------
% 14.04/2.69  % (778998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.69  % (778998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.69  % (778998)CaDiCaL version: 2.1.3
% 14.04/2.69  % (778998)Termination reason: Instruction limit
% 14.04/2.69  % (778998)Termination phase: Saturation
% 14.04/2.69  % (778998)Time elapsed: 0.046 s
% 14.04/2.69  % (778998)Peak memory usage: 12 MB
% 14.04/2.69  % (778998)Instructions burned: 101 (million)
% 14.04/2.69  % (779000)Instruction limit reached! 
% 14.04/2.69  % (779000)------------------------------
% 14.04/2.69  % (779000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.69  % (779000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.69  % (779000)CaDiCaL version: 2.1.3
% 14.04/2.69  % (779000)Termination reason: Instruction limit
% 14.04/2.69  % (779000)Termination phase: Saturation
% 14.04/2.69  % (779000)Time elapsed: 0.036 s
% 14.04/2.69  % (779000)Peak memory usage: 12 MB
% 14.04/2.69  % (779000)Instructions burned: 77 (million)
% 14.04/2.69  % (779012)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2048812721:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/647Mi)
% 14.04/2.69  % (779012)Refutation not found, incomplete strategy
% 14.04/2.69  % (779012)------------------------------
% 14.04/2.69  % (779012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.69  % (779012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.69  % (779012)CaDiCaL version: 2.1.3
% 14.04/2.69  % (779012)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.69  % (779012)Time elapsed: 0.0000 s
% 14.04/2.69  % (779012)Peak memory usage: 12 MB
% 14.04/2.69  % (779012)------------------------------
% 14.04/2.69  % (779012)------------------------------
% 14.04/2.69  % (779013)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1381075050:i=857:add=off:kws=frequency:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/857Mi)
% 14.04/2.69  % (779016)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1740255272:i=285:hud=10:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/285Mi)
% 14.04/2.69  % (779009)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1852819622:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2979 on theBenchmark for (2979ds/670Mi)
% 14.04/2.69  % (779016)Refutation not found, incomplete strategy
% 14.04/2.69  % (779016)------------------------------
% 14.04/2.69  % (779016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.69  % (779016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.69  % (779016)CaDiCaL version: 2.1.3
% 14.04/2.69  % (779016)Termination reason: Refutation not found, incomplete strategy
% 14.04/2.69  % (779016)Time elapsed: 0.0000 s
% 14.04/2.69  % (779016)Peak memory usage: 11 MB
% 14.04/2.69  % (779016)Instructions burned: 1 (million)
% 14.04/2.69  % (779016)------------------------------
% 14.04/2.69  % (779016)------------------------------
% 14.04/2.69  % (779014)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=2425025090:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2979 on theBenchmark for (2979ds/693Mi)
% 14.04/2.69  % (779020)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.04/2.69  % (779020)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=4033191847:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 14.04/2.69  % (779020)Instruction limit reached! 
% 14.04/2.69  % (779020)------------------------------
% 14.04/2.69  % (779020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.04/2.69  % (779020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.04/2.69  % (779020)CaDiCaL version: 2.1.3
% 14.04/2.69  % (779020)Termination reason: Instruction limit
% 14.04/2.69  % (779020)Termination phase: Saturation
% 14.04/2.69  % (779020)Time elapsed: 0.012 s
% 14.04/2.69  % (779020)Peak memory usage: 12 MB
% 14.04/2.69  % (779020)Instructions burned: 58 (million)
% 18.25/3.04  % (779023)dis+10_1_si=on:random_seed=4026543173:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 18.25/3.04  % (779023)Refutation not found, incomplete strategy
% 18.25/3.04  % (779023)------------------------------
% 18.25/3.04  % (779023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (779023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (779023)CaDiCaL version: 2.1.3
% 18.25/3.04  % (779023)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.04  % (779023)Time elapsed: 0.0000 s
% 18.25/3.04  % (779023)Peak memory usage: 11 MB
% 18.25/3.04  % (779023)------------------------------
% 18.25/3.04  % (779023)------------------------------
% 18.25/3.04  % (779025)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3471644298:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/2240Mi)
% 18.25/3.04  % (778987)Instruction limit reached! 
% 18.25/3.04  % (778987)------------------------------
% 18.25/3.04  % (778987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (778987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (778987)CaDiCaL version: 2.1.3
% 18.25/3.04  % (778987)Termination reason: Instruction limit
% 18.25/3.04  % (778987)Termination phase: Saturation
% 18.25/3.04  % (778987)Time elapsed: 0.260 s
% 18.25/3.04  % (778987)Peak memory usage: 13 MB
% 18.25/3.04  % (778987)Instructions burned: 430 (million)
% 18.25/3.04  % (779027)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=875399947:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/336Mi)
% 18.25/3.04  % (779027)Refutation not found, incomplete strategy
% 18.25/3.04  % (779027)------------------------------
% 18.25/3.04  % (779027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (779027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (779027)CaDiCaL version: 2.1.3
% 18.25/3.04  % (779027)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.04  % (779027)Time elapsed: 0.001 s
% 18.25/3.04  % (779027)Peak memory usage: 11 MB
% 18.25/3.04  % (779027)------------------------------
% 18.25/3.04  % (779027)------------------------------
% 18.25/3.04  % (779029)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3796151940:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2978 on theBenchmark for (2978ds/1142Mi)
% 18.25/3.04  % (779003)Instruction limit reached! 
% 18.25/3.04  % (779003)------------------------------
% 18.25/3.04  % (779003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (779003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (779003)CaDiCaL version: 2.1.3
% 18.25/3.04  % (779003)Termination reason: Instruction limit
% 18.25/3.04  % (779003)Termination phase: Saturation
% 18.25/3.04  % (779003)Time elapsed: 0.204 s
% 18.25/3.04  % (779003)Peak memory usage: 13 MB
% 18.25/3.04  % (779003)Instructions burned: 494 (million)
% 18.25/3.04  % (779031)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1816005389:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/376Mi)
% 18.25/3.04  % (779031)Refutation not found, incomplete strategy
% 18.25/3.04  % (779031)------------------------------
% 18.25/3.04  % (779031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (779031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (779031)CaDiCaL version: 2.1.3
% 18.25/3.04  % (779031)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.04  % (779031)Time elapsed: 0.001 s
% 18.25/3.04  % (779031)Peak memory usage: 11 MB
% 18.25/3.04  % (779031)------------------------------
% 18.25/3.04  % (779031)------------------------------
% 18.25/3.04  % (779034)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1202670111:i=766:bd=all:rtra=on_2977 on theBenchmark for (2977ds/766Mi)
% 18.25/3.04  % (779034)Refutation not found, incomplete strategy
% 18.25/3.04  % (779034)------------------------------
% 18.25/3.04  % (779034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.04  % (779034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.04  % (779034)CaDiCaL version: 2.1.3
% 18.25/3.04  % (779034)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.11  % (779034)Time elapsed: 0.001 s
% 18.25/3.11  % (779034)Peak memory usage: 12 MB
% 18.25/3.11  % (779034)Instructions burned: 1 (million)
% 18.25/3.11  % (779034)------------------------------
% 18.25/3.11  % (779034)------------------------------
% 18.25/3.11  % (779036)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.25/3.11  % (779036)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2819455933:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2976 on theBenchmark for (2976ds/959Mi)
% 18.25/3.11  % (779036)Refutation not found, incomplete strategy
% 18.25/3.11  % (779036)------------------------------
% 18.25/3.11  % (779036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.11  % (779036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.11  % (779036)CaDiCaL version: 2.1.3
% 18.25/3.11  % (779036)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.11  % (779036)Time elapsed: 0.001 s
% 18.25/3.11  % (779036)Peak memory usage: 11 MB
% 18.25/3.11  % (779036)------------------------------
% 18.25/3.11  % (779036)------------------------------
% 18.25/3.11  % (779014)Instruction limit reached! 
% 18.25/3.11  % (779014)------------------------------
% 18.25/3.11  % (779014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.11  % (779014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.11  % (779014)CaDiCaL version: 2.1.3
% 18.25/3.11  % (779014)Termination reason: Instruction limit
% 18.25/3.11  % (779014)Termination phase: Saturation
% 18.25/3.11  % (779014)Time elapsed: 0.295 s
% 18.25/3.11  % (779014)Peak memory usage: 13 MB
% 18.25/3.11  % (779014)Instructions burned: 694 (million)
% 18.25/3.11  % (779038)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=4006463475:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2976 on theBenchmark for (2976ds/6359Mi)
% 18.25/3.11  % (779039)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1570923326:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2976 on theBenchmark for (2976ds/35Mi)
% 18.25/3.11  % (779039)Refutation not found, incomplete strategy
% 18.25/3.11  % (779039)------------------------------
% 18.25/3.11  % (779039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.11  % (779039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.11  % (779039)CaDiCaL version: 2.1.3
% 18.25/3.11  % (779039)Termination reason: Refutation not found, incomplete strategy
% 18.25/3.11  % (779039)Time elapsed: 0.001 s
% 18.25/3.11  % (779039)Peak memory usage: 11 MB
% 18.25/3.11  % (779039)------------------------------
% 18.25/3.11  % (779039)------------------------------
% 18.25/3.11  % (779013)Instruction limit reached! 
% 18.25/3.11  % (779013)------------------------------
% 18.25/3.11  % (779013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.11  % (779013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.11  % (779013)CaDiCaL version: 2.1.3
% 18.25/3.11  % (779013)Termination reason: Instruction limit
% 18.25/3.11  % (779013)Termination phase: Saturation
% 18.25/3.11  % (779013)Time elapsed: 0.330 s
% 18.25/3.11  % (779013)Peak memory usage: 12 MB
% 18.25/3.11  % (779013)Instructions burned: 858 (million)
% 18.25/3.11  % (779042)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3062103595:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2976 on theBenchmark for (2976ds/53Mi)
% 18.25/3.11  % (779043)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=887679369:s2a=on:i=876:s2at=6:nm=2:rtra=on_2976 on theBenchmark for (2976ds/876Mi)
% 18.25/3.11  % (779042)Instruction limit reached! 
% 18.25/3.11  % (779042)------------------------------
% 18.25/3.11  % (779042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.25/3.11  % (779042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.25/3.11  % (779042)CaDiCaL version: 2.1.3
% 18.25/3.11  % (779042)Termination reason: Instruction limit
% 18.25/3.11  % (779042)Termination phase: Saturation
% 18.25/3.11  % (779042)Time elapsed: 0.028 s
% 18.25/3.11  % (779042)Peak memory usage: 12 MB
% 18.25/3.11  % (779042)Instructions burned: 53 (million)
% 18.78/3.16  % (779046)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4105301333:i=57:ep=R:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/57Mi)
% 18.78/3.16  % (779046)Instruction limit reached! 
% 18.78/3.16  % (779046)------------------------------
% 18.78/3.16  % (779046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.16  % (779046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.16  % (779046)CaDiCaL version: 2.1.3
% 18.78/3.16  % (779046)Termination reason: Instruction limit
% 18.78/3.16  % (779046)Termination phase: Saturation
% 18.78/3.16  % (779046)Time elapsed: 0.027 s
% 18.78/3.16  % (779046)Peak memory usage: 12 MB
% 18.78/3.16  % (779046)Instructions burned: 57 (million)
% 18.78/3.16  % (779048)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 18.78/3.16  % (779048)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4214452830:i=306:bd=all:rtra=on_2975 on theBenchmark for (2975ds/306Mi)
% 18.78/3.16  % (779048)Refutation not found, incomplete strategy
% 18.78/3.16  % (779048)------------------------------
% 18.78/3.16  % (779048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.16  % (779048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.16  % (779048)CaDiCaL version: 2.1.3
% 18.78/3.16  % (779048)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.16  % (779048)Time elapsed: 0.001 s
% 18.78/3.16  % (779048)Peak memory usage: 12 MB
% 18.78/3.16  % (779048)Instructions burned: 1 (million)
% 18.78/3.16  % (779048)------------------------------
% 18.78/3.16  % (779048)------------------------------
% 18.78/3.16  % (779009)Instruction limit reached! 
% 18.78/3.16  % (779009)------------------------------
% 18.78/3.16  % (779009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.16  % (779009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.16  % (779009)CaDiCaL version: 2.1.3
% 18.78/3.16  % (779009)Termination reason: Instruction limit
% 18.78/3.16  % (779009)Termination phase: Saturation
% 18.78/3.16  % (779009)Time elapsed: 0.454 s
% 18.78/3.16  % (779009)Peak memory usage: 13 MB
% 18.78/3.16  % (779009)Instructions burned: 670 (million)
% 18.78/3.16  % (779050)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=660332301:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 18.78/3.16  % (779050)Refutation not found, incomplete strategy
% 18.78/3.16  % (779050)------------------------------
% 18.78/3.16  % (779050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.16  % (779050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.16  % (779050)CaDiCaL version: 2.1.3
% 18.78/3.16  % (779050)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.16  % (779050)Time elapsed: 0.001 s
% 18.78/3.16  % (779050)Peak memory usage: 11 MB
% 18.78/3.16  % (779050)------------------------------
% 18.78/3.16  % (779050)------------------------------
% 18.78/3.16  % (779051)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 18.78/3.16  % (779051)ott+1002_16_sil=128000:si=on:random_seed=293497096:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 18.78/3.16  % (779053)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=388816187:s2a=on:i=381:rtra=on_2974 on theBenchmark for (2974ds/381Mi)
% 18.78/3.16  % (779025)Instruction limit reached! 
% 18.78/3.16  % (779025)------------------------------
% 18.78/3.16  % (779025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.16  % (779025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.16  % (779025)CaDiCaL version: 2.1.3
% 18.78/3.16  % (779025)Termination reason: Instruction limit
% 18.78/3.16  % (779025)Termination phase: Saturation
% 18.78/3.16  % (779025)Time elapsed: 0.599 s
% 18.78/3.16  % (779025)Peak memory usage: 17 MB
% 18.78/3.16  % (779025)Instructions burned: 2242 (million)
% 18.78/3.16  % (779056)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1787381290:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 18.78/3.16  % (779056)Instruction limit reached! 
% 18.78/3.16  % (779056)------------------------------
% 18.78/3.16  % (779056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779056)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779056)Termination reason: Instruction limit
% 19.74/3.33  % (779056)Termination phase: Saturation
% 19.74/3.33  % (779056)Time elapsed: 0.061 s
% 19.74/3.33  % (779056)Peak memory usage: 12 MB
% 19.74/3.33  % (779056)Instructions burned: 329 (million)
% 19.74/3.33  % (779043)Instruction limit reached! 
% 19.74/3.33  % (779043)------------------------------
% 19.74/3.33  % (779043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779043)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779043)Termination reason: Instruction limit
% 19.74/3.33  % (779043)Termination phase: Saturation
% 19.74/3.33  % (779043)Time elapsed: 0.379 s
% 19.74/3.33  % (779043)Peak memory usage: 12 MB
% 19.74/3.33  % (779043)Instructions burned: 877 (million)
% 19.74/3.33  % (779058)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3867588762:i=240:kws=inv_precedence:rtra=on_2972 on theBenchmark for (2972ds/240Mi)
% 19.74/3.33  % (779058)Refutation not found, incomplete strategy
% 19.74/3.33  % (779058)------------------------------
% 19.74/3.33  % (779058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779058)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779058)Termination reason: Refutation not found, incomplete strategy
% 19.74/3.33  % (779058)Time elapsed: 0.0000 s
% 19.74/3.33  % (779058)Peak memory usage: 12 MB
% 19.74/3.33  % (779058)Instructions burned: 1 (million)
% 19.74/3.33  % (779058)------------------------------
% 19.74/3.33  % (779058)------------------------------
% 19.74/3.33  % (779059)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.74/3.33  % (779061)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3250414863:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 19.74/3.33  % (779051)Instruction limit reached! 
% 19.74/3.33  % (779051)------------------------------
% 19.74/3.33  % (779051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779051)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779051)Termination reason: Instruction limit
% 19.74/3.33  % (779051)Termination phase: Saturation
% 19.74/3.33  % (779051)Time elapsed: 0.250 s
% 19.74/3.33  % (779051)Peak memory usage: 13 MB
% 19.74/3.33  % (779051)Instructions burned: 409 (million)
% 19.74/3.33  % (779059)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2677003867:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/124Mi)
% 19.74/3.33  % (779029)Instruction limit reached! 
% 19.74/3.33  % (779029)------------------------------
% 19.74/3.33  % (779029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779029)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779029)Termination reason: Instruction limit
% 19.74/3.33  % (779029)Termination phase: Saturation
% 19.74/3.33  % (779029)Time elapsed: 0.618 s
% 19.74/3.33  % (779029)Peak memory usage: 14 MB
% 19.74/3.33  % (779029)Instructions burned: 1144 (million)
% 19.74/3.33  % (779053)Instruction limit reached! 
% 19.74/3.33  % (779053)------------------------------
% 19.74/3.33  % (779053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.74/3.33  % (779053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.74/3.33  % (779053)CaDiCaL version: 2.1.3
% 19.74/3.33  % (779053)Termination reason: Instruction limit
% 19.74/3.33  % (779053)Termination phase: Saturation
% 19.74/3.33  % (779053)Time elapsed: 0.257 s
% 19.74/3.33  % (779053)Peak memory usage: 12 MB
% 19.74/3.33  % (779053)Instructions burned: 381 (million)
% 19.74/3.33  % (779063)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3637672930:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2971 on theBenchmark for (2971ds/282Mi)
% 19.74/3.33  % (779066)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1267788838:i=88:s2at=3:nm=2:rtra=on:rawr=on_2971 on theBenchmark for (2971ds/88Mi)
% 19.74/3.33  % (779065)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2518443325:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/464Mi)
% 20.09/3.47  % (779065)Refutation not found, incomplete strategy
% 20.09/3.47  % (779065)------------------------------
% 20.09/3.47  % (779065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.09/3.47  % (779065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.47  % (779061)Instruction limit reached! 
% 20.09/3.47  % (779061)------------------------------
% 20.09/3.47  % (779061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.09/3.47  % (779065)CaDiCaL version: 2.1.3
% 20.09/3.47  % (779065)Termination reason: Refutation not found, incomplete strategy
% 20.09/3.47  % (779065)Time elapsed: 0.003 s
% 20.09/3.47  % (779061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.47  % (779065)Peak memory usage: 11 MB
% 20.09/3.47  % (779065)Instructions burned: 2 (million)
% 20.09/3.47  % (779061)CaDiCaL version: 2.1.3
% 20.09/3.47  % (779061)Termination reason: Instruction limit
% 20.09/3.47  % (779061)Termination phase: Saturation
% 20.09/3.47  % (779061)Time elapsed: 0.046 s
% 20.09/3.47  % (779061)Peak memory usage: 13 MB
% 20.09/3.47  % (779061)Instructions burned: 226 (million)
% 20.09/3.47  % (779065)------------------------------
% 20.09/3.47  % (779065)------------------------------
% 20.09/3.47  % (779070)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1214857772:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2971 on theBenchmark for (2971ds/280Mi)
% 20.09/3.47  % (779059)Instruction limit reached! 
% 20.09/3.47  % (779059)------------------------------
% 20.09/3.47  % (779059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.09/3.47  % (779059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.47  % (779059)CaDiCaL version: 2.1.3
% 20.09/3.47  % (779059)Termination reason: Instruction limit
% 20.09/3.47  % (779059)Termination phase: Saturation
% 20.09/3.47  % (779059)Time elapsed: 0.071 s
% 20.09/3.47  % (779059)Peak memory usage: 12 MB
% 20.09/3.47  % (779059)Instructions burned: 125 (million)
% 20.09/3.47  % (779071)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.09/3.47  % (779066)Instruction limit reached! 
% 20.09/3.47  % (779066)------------------------------
% 20.09/3.47  % (779066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.09/3.47  % (779066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.47  % (779066)CaDiCaL version: 2.1.3
% 20.09/3.47  % (779066)Termination reason: Instruction limit
% 20.09/3.47  % (779066)Termination phase: Saturation
% 20.09/3.47  % (779066)Time elapsed: 0.040 s
% 20.09/3.47  % (779066)Peak memory usage: 12 MB
% 20.09/3.47  % (779066)Instructions burned: 89 (million)
% 20.09/3.47  % (779071)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1538471070:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/4386Mi)
% 20.09/3.47  % (779073)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.09/3.47  % (779073)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.09/3.47  % (779074)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=935271023:i=73:rtra=on_2971 on theBenchmark for (2971ds/73Mi)
% 20.09/3.47  % (779073)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=285945401:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2971 on theBenchmark for (2971ds/483Mi)
% 20.09/3.47  % (779074)Refutation not found, incomplete strategy
% 20.09/3.47  % (779074)------------------------------
% 20.09/3.47  % (779074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.09/3.47  % (779074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.47  % (779074)CaDiCaL version: 2.1.3
% 20.09/3.47  % (779074)Termination reason: Refutation not found, incomplete strategy
% 20.09/3.47  % (779074)Time elapsed: 0.0000 s
% 20.09/3.47  % (779074)Peak memory usage: 12 MB
% 20.09/3.47  % (779074)Instructions burned: 1 (million)
% 20.09/3.47  % (779074)------------------------------
% 20.09/3.47  % (779074)------------------------------
% 20.09/3.47  % (779073)Refutation not found, incomplete strategy
% 20.09/3.47  % (779073)------------------------------
% 21.02/3.69  % (779073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.69  % (779073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.69  % (779073)CaDiCaL version: 2.1.3
% 21.02/3.69  % (779073)Termination reason: Refutation not found, incomplete strategy
% 21.02/3.69  % (779073)Time elapsed: 0.001 s
% 21.02/3.69  % (779073)Peak memory usage: 11 MB
% 21.02/3.69  % (779073)------------------------------
% 21.02/3.69  % (779073)------------------------------
% 21.02/3.69  % (779079)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 21.02/3.69  % (779078)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3823736056:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2970 on theBenchmark for (2970ds/176Mi)
% 21.02/3.69  % (779079)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4004231987:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2970 on theBenchmark for (2970ds/39Mi)
% 21.02/3.69  % (779079)Instruction limit reached! 
% 21.02/3.69  % (779079)------------------------------
% 21.02/3.69  % (779079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.69  % (779079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.69  % (779079)CaDiCaL version: 2.1.3
% 21.02/3.69  % (779079)Termination reason: Instruction limit
% 21.02/3.69  % (779079)Termination phase: Saturation
% 21.02/3.69  % (779079)Time elapsed: 0.018 s
% 21.02/3.69  % (779079)Peak memory usage: 12 MB
% 21.02/3.69  % (779079)Instructions burned: 41 (million)
% 21.02/3.69  % (779082)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1219856546:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/708Mi)
% 21.02/3.69  % (779063)Instruction limit reached! 
% 21.02/3.69  % (779063)------------------------------
% 21.02/3.69  % (779063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.69  % (779063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.69  % (779063)CaDiCaL version: 2.1.3
% 21.02/3.69  % (779063)Termination reason: Instruction limit
% 21.02/3.69  % (779063)Termination phase: Saturation
% 21.02/3.69  % (779063)Time elapsed: 0.133 s
% 21.02/3.69  % (779063)Peak memory usage: 13 MB
% 21.02/3.69  % (779063)Instructions burned: 284 (million)
% 21.02/3.69  % (779084)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 21.02/3.69  % (779070)Instruction limit reached! 
% 21.02/3.69  % (779070)------------------------------
% 21.02/3.69  % (779070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.69  % (779070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.69  % (779070)CaDiCaL version: 2.1.3
% 21.02/3.69  % (779070)Termination reason: Instruction limit
% 21.02/3.69  % (779070)Termination phase: Saturation
% 21.02/3.69  % (779070)Time elapsed: 0.132 s
% 21.02/3.69  % (779070)Peak memory usage: 12 MB
% 21.02/3.69  % (779070)Instructions burned: 280 (million)
% 21.02/3.69  % (779084)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1383079753:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/252Mi)
% 21.02/3.69  % (779086)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1040608308:i=823:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/823Mi)
% 21.02/3.69  % (779078)Instruction limit reached! 
% 21.02/3.69  % (779078)------------------------------
% 21.02/3.69  % (779078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.69  % (779078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.69  % (779078)CaDiCaL version: 2.1.3
% 21.02/3.69  % (779078)Termination reason: Instruction limit
% 21.02/3.69  % (779078)Termination phase: Saturation
% 21.02/3.69  % (779078)Time elapsed: 0.112 s
% 21.02/3.69  % (779078)Peak memory usage: 12 MB
% 21.02/3.69  % (779078)Instructions burned: 177 (million)
% 21.02/3.69  % (779088)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 21.02/3.69  % (779088)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3429170660:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/16202Mi)
% 22.42/3.81  % (779088)Refutation not found, incomplete strategy
% 22.42/3.81  % (779088)------------------------------
% 22.42/3.81  % (779088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.42/3.81  % (779088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.81  % (779088)CaDiCaL version: 2.1.3
% 22.42/3.81  % (779088)Termination reason: Refutation not found, incomplete strategy
% 22.42/3.81  % (779088)Time elapsed: 0.005 s
% 22.42/3.81  % (779088)Peak memory usage: 11 MB
% 22.42/3.81  % (779088)Instructions burned: 2 (million)
% 22.42/3.81  % (779088)------------------------------
% 22.42/3.81  % (779088)------------------------------
% 22.42/3.81  % (779090)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2201014220:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/300Mi)
% 22.42/3.81  % (779084)Instruction limit reached! 
% 22.42/3.81  % (779084)------------------------------
% 22.42/3.81  % (779084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.42/3.81  % (779084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.81  % (779084)CaDiCaL version: 2.1.3
% 22.42/3.81  % (779084)Termination reason: Instruction limit
% 22.42/3.81  % (779084)Termination phase: Saturation
% 22.42/3.81  % (779084)Time elapsed: 0.123 s
% 22.42/3.81  % (779084)Peak memory usage: 12 MB
% 22.42/3.81  % (779084)Instructions burned: 254 (million)
% 22.42/3.81  % (779092)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 22.42/3.81  % (779092)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 22.42/3.81  % (779092)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=54010616:i=177:add=on:bd=preordered:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/177Mi)
% 22.42/3.81  % (779090)Instruction limit reached! 
% 22.42/3.81  % (779090)------------------------------
% 22.42/3.81  % (779090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.42/3.81  % (779090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.81  % (779090)CaDiCaL version: 2.1.3
% 22.42/3.81  % (779090)Termination reason: Instruction limit
% 22.42/3.81  % (779090)Termination phase: Saturation
% 22.42/3.81  % (779090)Time elapsed: 0.068 s
% 22.42/3.81  % (779090)Peak memory usage: 12 MB
% 22.42/3.81  % (779090)Instructions burned: 304 (million)
% 22.42/3.81  % (779094)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=17600364:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/715Mi)
% 22.42/3.81  % (779094)Refutation not found, incomplete strategy
% 22.42/3.81  % (779094)------------------------------
% 22.42/3.81  % (779094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.42/3.81  % (779094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.81  % (779094)CaDiCaL version: 2.1.3
% 22.42/3.81  % (779094)Termination reason: Refutation not found, incomplete strategy
% 22.42/3.81  % (779094)Time elapsed: 0.0000 s
% 22.42/3.81  % (779094)Peak memory usage: 11 MB
% 22.42/3.81  % (779094)Instructions burned: 2 (million)
% 22.42/3.81  % (779094)------------------------------
% 22.42/3.81  % (779094)------------------------------
% 22.42/3.81  % (779096)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.42/3.81  % (779096)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.42/3.81  % (779096)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=2141374723:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/230Mi)
% 22.42/3.81  % (779096)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 22.42/3.81  % (779082)Instruction limit reached! 
% 22.42/3.81  % (779082)------------------------------
% 22.42/3.81  % (779082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.42/3.81  % (779082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.42/3.81  % (779082)CaDiCaL version: 2.1.3
% 22.42/3.81  % (779082)Termination reason: Instruction limit
% 23.05/3.93  % (779082)Termination phase: Saturation
% 23.05/3.93  % (779082)Time elapsed: 0.246 s
% 23.05/3.93  % (779082)Peak memory usage: 14 MB
% 23.05/3.93  % (779082)Instructions burned: 709 (million)
% 23.05/3.93  % (779092)Instruction limit reached! 
% 23.05/3.93  % (779092)------------------------------
% 23.05/3.93  % (779092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.93  % (779092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.93  % (779092)CaDiCaL version: 2.1.3
% 23.05/3.93  % (779092)Termination reason: Instruction limit
% 23.05/3.93  % (779092)Termination phase: Saturation
% 23.05/3.93  % (779092)Time elapsed: 0.081 s
% 23.05/3.93  % (779092)Peak memory usage: 13 MB
% 23.05/3.93  % (779092)Instructions burned: 179 (million)
% 23.05/3.93  % (779098)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2822037267:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2967 on theBenchmark for (2967ds/606Mi)
% 23.05/3.93  % (779099)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 23.05/3.93  % (779096)Instruction limit reached! 
% 23.05/3.93  % (779096)------------------------------
% 23.05/3.93  % (779096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.93  % (779096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.93  % (779096)CaDiCaL version: 2.1.3
% 23.05/3.93  % (779096)Termination reason: Instruction limit
% 23.05/3.93  % (779096)Termination phase: Saturation
% 23.05/3.93  % (779096)Time elapsed: 0.055 s
% 23.05/3.93  % (779096)Peak memory usage: 12 MB
% 23.05/3.93  % (779096)Instructions burned: 232 (million)
% 23.05/3.93  % (779099)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=583456505:lrd=on:i=841:nm=0:rtra=on_2967 on theBenchmark for (2967ds/841Mi)
% 23.05/3.93  % (779101)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2006580150:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2967 on theBenchmark for (2967ds/445Mi)
% 23.05/3.93  % (779101)Instruction limit reached! 
% 23.05/3.93  % (779101)------------------------------
% 23.05/3.93  % (779101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.93  % (779101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.93  % (779101)CaDiCaL version: 2.1.3
% 23.05/3.93  % (779101)Termination reason: Instruction limit
% 23.05/3.93  % (779101)Termination phase: Saturation
% 23.05/3.93  % (779101)Time elapsed: 0.117 s
% 23.05/3.93  % (779101)Peak memory usage: 14 MB
% 23.05/3.93  % (779101)Instructions burned: 446 (million)
% 23.05/3.93  % (779104)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2361575513:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2966 on theBenchmark for (2966ds/71Mi)
% 23.05/3.93  % (779104)Instruction limit reached! 
% 23.05/3.93  % (779104)------------------------------
% 23.05/3.93  % (779104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.93  % (779104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.93  % (779104)CaDiCaL version: 2.1.3
% 23.05/3.93  % (779104)Termination reason: Instruction limit
% 23.05/3.93  % (779104)Termination phase: Saturation
% 23.05/3.93  % (779104)Time elapsed: 0.020 s
% 23.05/3.93  % (779104)Peak memory usage: 12 MB
% 23.05/3.93  % (779104)Instructions burned: 74 (million)
% 23.05/3.93  % (779106)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 23.05/3.93  % (779106)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 23.05/3.93  % (779106)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1479862785:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2965 on theBenchmark for (2965ds/100Mi)
% 23.05/3.93  % (779086)Instruction limit reached! 
% 23.05/3.93  % (779086)------------------------------
% 23.05/3.93  % (779086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.05/3.93  % (779086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.05/3.93  % (779086)CaDiCaL version: 2.1.3
% 23.05/3.93  % (779086)Termination reason: Instruction limit
% 23.05/3.93  % (779086)Termination phase: Saturation
% 23.05/3.93  % (779086)Time elapsed: 0.422 s
% 25.17/4.05  % (779086)Peak memory usage: 13 MB
% 25.17/4.05  % (779086)Instructions burned: 823 (million)
% 25.17/4.05  % (779106)Instruction limit reached! 
% 25.17/4.05  % (779106)------------------------------
% 25.17/4.05  % (779106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.05  % (779106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.05  % (779106)CaDiCaL version: 2.1.3
% 25.17/4.05  % (779106)Termination reason: Instruction limit
% 25.17/4.05  % (779106)Termination phase: Saturation
% 25.17/4.05  % (779106)Time elapsed: 0.023 s
% 25.17/4.05  % (779106)Peak memory usage: 12 MB
% 25.17/4.05  % (779106)Instructions burned: 101 (million)
% 25.17/4.05  % (779108)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 25.17/4.05  % (779108)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=2017464768:i=1352:add=on:aac=none:rtra=on_2965 on theBenchmark for (2965ds/1352Mi)
% 25.17/4.05  % (779108)Refutation not found, incomplete strategy
% 25.17/4.05  % (779108)------------------------------
% 25.17/4.05  % (779108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.05  % (779108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.05  % (779108)CaDiCaL version: 2.1.3
% 25.17/4.05  % (779108)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.05  % (779108)Time elapsed: 0.001 s
% 25.17/4.05  % (779108)Peak memory usage: 12 MB
% 25.17/4.05  % (779108)Instructions burned: 3 (million)
% 25.17/4.05  % (779108)------------------------------
% 25.17/4.05  % (779108)------------------------------
% 25.17/4.05  % (779109)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=4217458581:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2965 on theBenchmark for (2965ds/646Mi)
% 25.17/4.05  % (779111)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=218106074:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/1924Mi)
% 25.17/4.05  % (779111)Refutation not found, incomplete strategy
% 25.17/4.05  % (779111)------------------------------
% 25.17/4.05  % (779111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.05  % (779111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.05  % (779111)CaDiCaL version: 2.1.3
% 25.17/4.05  % (779111)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.05  % (779111)Time elapsed: 0.001 s
% 25.17/4.05  % (779111)Peak memory usage: 11 MB
% 25.17/4.05  % (779111)------------------------------
% 25.17/4.05  % (779111)------------------------------
% 25.17/4.05  % (779114)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3512386888:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2965 on theBenchmark for (2965ds/984Mi)
% 25.17/4.05  % (779114)Refutation not found, incomplete strategy
% 25.17/4.05  % (779114)------------------------------
% 25.17/4.05  % (779114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.05  % (779114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.05  % (779114)CaDiCaL version: 2.1.3
% 25.17/4.05  % (779114)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.05  % (779114)Time elapsed: 0.0000 s
% 25.17/4.05  % (779114)Peak memory usage: 12 MB
% 25.17/4.05  % (779114)Instructions burned: 1 (million)
% 25.17/4.05  % (779114)------------------------------
% 25.17/4.05  % (779114)------------------------------
% 25.17/4.05  % (779116)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=97483082:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2964 on theBenchmark for (2964ds/592Mi)
% 25.17/4.05  % (779098)Instruction limit reached! 
% 25.17/4.05  % (779098)------------------------------
% 25.17/4.05  % (779098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.17/4.05  % (779098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.05  % (779098)CaDiCaL version: 2.1.3
% 25.17/4.05  % (779098)Termination reason: Instruction limit
% 25.17/4.05  % (779098)Termination phase: Saturation
% 25.17/4.05  % (779098)Time elapsed: 0.301 s
% 25.17/4.05  % (779098)Peak memory usage: 13 MB
% 25.17/4.05  % (779098)Instructions burned: 606 (million)
% 25.17/4.05  % (779118)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2791446871:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2964 on theBenchmark for (2964ds/872Mi)
% 26.84/4.31  % (779118)Refutation not found, incomplete strategy
% 26.84/4.31  % (779118)------------------------------
% 26.84/4.31  % (779118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.31  % (779118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.31  % (779118)CaDiCaL version: 2.1.3
% 26.84/4.31  % (779118)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.31  % (779118)Time elapsed: 0.001 s
% 26.84/4.31  % (779118)Peak memory usage: 11 MB
% 26.84/4.31  % (779118)------------------------------
% 26.84/4.31  % (779118)------------------------------
% 26.84/4.31  % (779120)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 26.84/4.31  % (779120)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=313340425:i=999:add=on:rtra=on_2964 on theBenchmark for (2964ds/999Mi)
% 26.84/4.31  % (779099)Instruction limit reached! 
% 26.84/4.31  % (779099)------------------------------
% 26.84/4.31  % (779099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.31  % (779099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.31  % (779099)CaDiCaL version: 2.1.3
% 26.84/4.31  % (779099)Termination reason: Instruction limit
% 26.84/4.31  % (779099)Termination phase: Saturation
% 26.84/4.31  % (779099)Time elapsed: 0.388 s
% 26.84/4.31  % (779099)Peak memory usage: 13 MB
% 26.84/4.31  % (779099)Instructions burned: 841 (million)
% 26.84/4.31  % (779122)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.84/4.31  % (779116)Instruction limit reached! 
% 26.84/4.31  % (779116)------------------------------
% 26.84/4.31  % (779116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.31  % (779116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.31  % (779116)CaDiCaL version: 2.1.3
% 26.84/4.31  % (779116)Termination reason: Instruction limit
% 26.84/4.31  % (779116)Termination phase: Saturation
% 26.84/4.31  % (779116)Time elapsed: 0.134 s
% 26.84/4.31  % (779116)Peak memory usage: 12 MB
% 26.84/4.31  % (779116)Instructions burned: 595 (million)
% 26.84/4.31  % (779122)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=1171719527:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2963 on theBenchmark for (2963ds/244Mi)
% 26.84/4.31  % (779122)Refutation not found, incomplete strategy
% 26.84/4.31  % (779122)------------------------------
% 26.84/4.31  % (779122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.31  % (779122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.31  % (779122)CaDiCaL version: 2.1.3
% 26.84/4.31  % (779122)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.31  % (779122)Time elapsed: 0.002 s
% 26.84/4.31  % (779122)Peak memory usage: 12 MB
% 26.84/4.31  % (779122)Instructions burned: 3 (million)
% 26.84/4.31  % (779122)------------------------------
% 26.84/4.31  % (779122)------------------------------
% 26.84/4.31  % (779123)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=250984397:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/113Mi)
% 26.84/4.31  % (779123)Refutation not found, incomplete strategy
% 26.84/4.31  % (779123)------------------------------
% 26.84/4.31  % (779123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.31  % (779123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.31  % (779123)CaDiCaL version: 2.1.3
% 26.84/4.31  % (779123)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.31  % (779123)Time elapsed: 0.0000 s
% 26.84/4.31  % (779123)Peak memory usage: 12 MB
% 26.84/4.31  % (779123)Instructions burned: 1 (million)
% 26.84/4.31  % (779123)------------------------------
% 26.84/4.31  % (779123)------------------------------
% 26.84/4.31  % (779127)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=407257903:st=2:i=5026:sd=1:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/5026Mi)
% 26.84/4.31  % (779127)Refutation not found, incomplete strategy
% 26.84/4.31  % (779127)------------------------------
% 26.84/4.31  % (779127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.37  % (779127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.37  % (779127)CaDiCaL version: 2.1.3
% 26.84/4.37  % (779127)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.37  % (779127)Time elapsed: 0.0000 s
% 26.84/4.37  % (779127)Peak memory usage: 12 MB
% 26.84/4.37  % (779127)------------------------------
% 26.84/4.37  % (779127)------------------------------
% 26.84/4.37  % (779125)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2862703077:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/7795Mi)
% 26.84/4.37  % (779125)Refutation not found, incomplete strategy
% 26.84/4.37  % (779125)------------------------------
% 26.84/4.37  % (779125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.37  % (779125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.37  % (779125)CaDiCaL version: 2.1.3
% 26.84/4.37  % (779125)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.37  % (779125)Time elapsed: 0.001 s
% 26.84/4.37  % (779125)Peak memory usage: 11 MB
% 26.84/4.37  % (779125)------------------------------
% 26.84/4.37  % (779125)------------------------------
% 26.84/4.37  % (779129)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 26.84/4.37  % (779131)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1955079457:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/1144Mi)
% 26.84/4.37  % (779131)Refutation not found, incomplete strategy
% 26.84/4.37  % (779131)------------------------------
% 26.84/4.37  % (779131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.37  % (779131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.37  % (779131)CaDiCaL version: 2.1.3
% 26.84/4.37  % (779131)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.37  % (779131)Time elapsed: 0.0000 s
% 26.84/4.37  % (779131)Peak memory usage: 11 MB
% 26.84/4.37  % (779131)------------------------------
% 26.84/4.37  % (779131)------------------------------
% 26.84/4.37  % (779129)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2288790880:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2963 on theBenchmark for (2963ds/763Mi)
% 26.84/4.37  % (779129)Refutation not found, incomplete strategy
% 26.84/4.37  % (779129)------------------------------
% 26.84/4.37  % (779129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.37  % (779129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.37  % (779129)CaDiCaL version: 2.1.3
% 26.84/4.37  % (779129)Termination reason: Refutation not found, incomplete strategy
% 26.84/4.37  % (779129)Time elapsed: 0.001 s
% 26.84/4.37  % (779129)Peak memory usage: 11 MB
% 26.84/4.37  % (779129)Instructions burned: 1 (million)
% 26.84/4.37  % (779129)------------------------------
% 26.84/4.37  % (779129)------------------------------
% 26.84/4.37  % (779133)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 26.84/4.37  % (779133)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=4081686534:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2963 on theBenchmark for (2963ds/52Mi)
% 26.84/4.37  % (779133)Instruction limit reached! 
% 26.84/4.37  % (779133)------------------------------
% 26.84/4.37  % (779133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.84/4.37  % (779133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.84/4.37  % (779133)CaDiCaL version: 2.1.3
% 26.84/4.37  % (779133)Termination reason: Instruction limit
% 26.84/4.37  % (779133)Termination phase: Saturation
% 26.84/4.37  % (779133)Time elapsed: 0.012 s
% 26.84/4.37  % (779133)Peak memory usage: 12 MB
% 26.84/4.37  % (779133)Instructions burned: 59 (million)
% 26.84/4.37  % (779135)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=507603854:i=1724:fsr=off:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/1724Mi)
% 26.84/4.37  % (779138)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=541631479:i=439:add=on:slsql=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/439Mi)
% 26.84/4.37  % (779109)Instruction limit reached! 
% 26.84/4.37  % (779109)------------------------------
% 29.27/4.71  % (779109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779109)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779109)Termination reason: Instruction limit
% 29.27/4.71  % (779109)Termination phase: Saturation
% 29.27/4.71  % (779109)Time elapsed: 0.332 s
% 29.27/4.71  % (779109)Peak memory usage: 14 MB
% 29.27/4.71  % (779109)Instructions burned: 647 (million)
% 29.27/4.71  % (779138)Instruction limit reached! 
% 29.27/4.71  % (779138)------------------------------
% 29.27/4.71  % (779138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779138)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779138)Termination reason: Instruction limit
% 29.27/4.71  % (779138)Termination phase: Saturation
% 29.27/4.71  % (779138)Time elapsed: 0.089 s
% 29.27/4.71  % (779138)Peak memory usage: 12 MB
% 29.27/4.71  % (779138)Instructions burned: 443 (million)
% 29.27/4.71  % (779140)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1644256888:i=6395:sd=1:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/6395Mi)
% 29.27/4.71  % (779140)Refutation not found, incomplete strategy
% 29.27/4.71  % (779140)------------------------------
% 29.27/4.71  % (779140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779140)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779140)Termination reason: Refutation not found, incomplete strategy
% 29.27/4.71  % (779140)Time elapsed: 0.001 s
% 29.27/4.71  % (779140)Peak memory usage: 12 MB
% 29.27/4.71  % (779140)------------------------------
% 29.27/4.71  % (779140)------------------------------
% 29.27/4.71  % (779141)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 29.27/4.71  % (779141)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=882727189:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2961 on theBenchmark for (2961ds/6762Mi)
% 29.27/4.71  % (779141)Refutation not found, incomplete strategy
% 29.27/4.71  % (779141)------------------------------
% 29.27/4.71  % (779141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779141)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779141)Termination reason: Refutation not found, incomplete strategy
% 29.27/4.71  % (779141)Time elapsed: 0.0000 s
% 29.27/4.71  % (779141)Peak memory usage: 11 MB
% 29.27/4.71  % (779141)------------------------------
% 29.27/4.71  % (779141)------------------------------
% 29.27/4.71  % (779145)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1075591641:i=965:bd=all:ins=4:rtra=on_2961 on theBenchmark for (2961ds/965Mi)
% 29.27/4.71  % (779143)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.27/4.71  % (779143)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1078700716:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2961 on theBenchmark for (2961ds/376Mi)
% 29.27/4.71  % (779143)Instruction limit reached! 
% 29.27/4.71  % (779143)------------------------------
% 29.27/4.71  % (779143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779143)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779143)Termination reason: Instruction limit
% 29.27/4.71  % (779143)Termination phase: Saturation
% 29.27/4.71  % (779143)Time elapsed: 0.199 s
% 29.27/4.71  % (779143)Peak memory usage: 14 MB
% 29.27/4.71  % (779143)Instructions burned: 378 (million)
% 29.27/4.71  % (779145)Instruction limit reached! 
% 29.27/4.71  % (779145)------------------------------
% 29.27/4.71  % (779145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.27/4.71  % (779145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.71  % (779145)CaDiCaL version: 2.1.3
% 29.27/4.71  % (779145)Termination reason: Instruction limit
% 29.27/4.71  % (779145)Termination phase: Saturation
% 29.27/4.71  % (779145)Time elapsed: 0.207 s
% 29.27/4.71  % (779145)Peak memory usage: 16 MB
% 29.27/4.71  % (779145)Instructions burned: 970 (million)
% 29.27/4.71  % (779149)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3016244750:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2959 on theBenchmark for (2959ds/1583Mi)
% 29.82/4.97  % (779148)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1875959067:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/5013Mi)
% 29.82/4.97  % (779148)Refutation not found, incomplete strategy
% 29.82/4.97  % (779148)------------------------------
% 29.82/4.97  % (779148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.82/4.97  % (779148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.82/4.97  % (779148)CaDiCaL version: 2.1.3
% 29.82/4.97  % (779148)Termination reason: Refutation not found, incomplete strategy
% 29.82/4.97  % (779148)Time elapsed: 0.001 s
% 29.82/4.97  % (779148)Peak memory usage: 11 MB
% 29.82/4.97  % (779148)------------------------------
% 29.82/4.97  % (779148)------------------------------
% 29.82/4.97  % (779152)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 29.82/4.97  % (779152)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 29.82/4.97  % (779152)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 29.82/4.97  % (779152)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 29.82/4.97  % (778887)Instruction limit reached! 
% 29.82/4.97  % (778887)------------------------------
% 29.82/4.97  % (778887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.82/4.97  % (778887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.82/4.97  % (778887)CaDiCaL version: 2.1.3
% 29.82/4.97  % (778887)Termination reason: Instruction limit
% 29.82/4.97  % (778887)Termination phase: Saturation
% 29.82/4.97  % (778887)Time elapsed: 3.319 s
% 29.82/4.97  % (778887)Peak memory usage: 15 MB
% 29.82/4.97  % (778887)Instructions burned: 9841 (million)
% 29.82/4.97  % (779152)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3996562934:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2959 on theBenchmark for (2959ds/1774Mi)
% 29.82/4.97  % (779152)Refutation not found, incomplete strategy
% 29.82/4.97  % (779152)------------------------------
% 29.82/4.97  % (779152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.82/4.97  % (779152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.82/4.97  % (779152)CaDiCaL version: 2.1.3
% 29.82/4.97  % (779152)Termination reason: Refutation not found, incomplete strategy
% 29.82/4.97  % (779152)Time elapsed: 0.001 s
% 29.82/4.97  % (779152)Peak memory usage: 11 MB
% 29.82/4.97  % (779152)------------------------------
% 29.82/4.97  % (779152)------------------------------
% 29.82/4.97  % (779153)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1206964852:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/515Mi)
% 29.82/4.97  % (779155)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 29.82/4.97  % (779153)Refutation not found, incomplete strategy
% 29.82/4.97  % (779153)------------------------------
% 29.82/4.97  % (779153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.82/4.97  % (779153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.82/4.97  % (779153)CaDiCaL version: 2.1.3
% 29.82/4.97  % (779153)Termination reason: Refutation not found, incomplete strategy
% 29.82/4.97  % (779153)Time elapsed: 0.001 s
% 29.82/4.97  % (779153)Peak memory usage: 12 MB
% 29.82/4.97  % (779153)Instructions burned: 1 (million)
% 29.82/4.97  % (779153)------------------------------
% 29.82/4.97  % (779153)------------------------------
% 29.82/4.97  % (779155)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=768477935:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2959 on theBenchmark for (2959ds/1297Mi)
% 29.82/4.97  % (779157)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2266505897:s2a=on:i=611:rtra=on:gsp=on_2959 on theBenchmark for (2959ds/611Mi)
% 32.34/5.11  % (779157)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.34/5.11  % (779120)Instruction limit reached! 
% 32.34/5.11  % (779120)------------------------------
% 32.34/5.11  % (779120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/5.11  % (779120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.11  % (779120)CaDiCaL version: 2.1.3
% 32.34/5.11  % (779120)Termination reason: Instruction limit
% 32.34/5.11  % (779120)Termination phase: Saturation
% 32.34/5.11  % (779120)Time elapsed: 0.619 s
% 32.34/5.11  % (779120)Peak memory usage: 14 MB
% 32.34/5.11  % (779120)Instructions burned: 1000 (million)
% 32.34/5.11  % (779160)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 32.34/5.11  % (779160)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=700134737:i=72:bd=all:rtra=on_2958 on theBenchmark for (2958ds/72Mi)
% 32.34/5.11  % (779160)Refutation not found, incomplete strategy
% 32.34/5.11  % (779160)------------------------------
% 32.34/5.11  % (779160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/5.11  % (779160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.11  % (779160)CaDiCaL version: 2.1.3
% 32.34/5.11  % (779160)Termination reason: Refutation not found, incomplete strategy
% 32.34/5.11  % (779160)Time elapsed: 0.001 s
% 32.34/5.11  % (779160)Peak memory usage: 12 MB
% 32.34/5.11  % (779160)Instructions burned: 1 (million)
% 32.34/5.11  % (779160)------------------------------
% 32.34/5.11  % (779160)------------------------------
% 32.34/5.11  % (779162)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1482653263:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2957 on theBenchmark for (2957ds/6580Mi)
% 32.34/5.11  % (779157)Instruction limit reached! 
% 32.34/5.11  % (779157)------------------------------
% 32.34/5.11  % (779157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/5.11  % (779157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.11  % (779157)CaDiCaL version: 2.1.3
% 32.34/5.11  % (779157)Termination reason: Instruction limit
% 32.34/5.11  % (779157)Termination phase: Saturation
% 32.34/5.11  % (779157)Time elapsed: 0.248 s
% 32.34/5.11  % (779157)Peak memory usage: 13 MB
% 32.34/5.11  % (779157)Instructions burned: 614 (million)
% 32.34/5.11  % (779164)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1112799842:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/6209Mi)
% 32.34/5.11  % (779164)Refutation not found, incomplete strategy
% 32.34/5.11  % (779164)------------------------------
% 32.34/5.11  % (779164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/5.11  % (779164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.11  % (779164)CaDiCaL version: 2.1.3
% 32.34/5.11  % (779164)Termination reason: Refutation not found, incomplete strategy
% 32.34/5.11  % (779164)Time elapsed: 0.001 s
% 32.34/5.11  % (779164)Peak memory usage: 11 MB
% 32.34/5.11  % (779164)------------------------------
% 32.34/5.11  % (779164)------------------------------
% 32.34/5.11  % (779166)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2832981129:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2956 on theBenchmark for (2956ds/1003Mi)
% 32.34/5.11  % (779149)Instruction limit reached! 
% 32.34/5.11  % (779149)------------------------------
% 32.34/5.11  % (779149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.34/5.11  % (779149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.34/5.11  % (779149)CaDiCaL version: 2.1.3
% 32.34/5.11  % (779149)Termination reason: Instruction limit
% 32.34/5.11  % (779149)Termination phase: Saturation
% 32.34/5.11  % (779149)Time elapsed: 0.368 s
% 32.34/5.11  % (779149)Peak memory usage: 13 MB
% 32.34/5.11  % (779149)Instructions burned: 1588 (million)
% 32.34/5.11  % (779168)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 32.34/5.11  % (779168)ott+1002_16_sil=128000:si=on:random_seed=3508453873:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2955 on theBenchmark for (2955ds/409Mi)
% 32.34/5.11  % (779135)Instruction limit reached! 
% 35.02/5.60  % (779135)------------------------------
% 35.02/5.60  % (779135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.02/5.60  % (779135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.02/5.60  % (779135)CaDiCaL version: 2.1.3
% 35.02/5.60  % (779135)Termination reason: Instruction limit
% 35.02/5.60  % (779135)Termination phase: Saturation
% 35.02/5.60  % (779135)Time elapsed: 0.742 s
% 35.02/5.60  % (779135)Peak memory usage: 13 MB
% 35.02/5.60  % (779135)Instructions burned: 1725 (million)
% 35.02/5.60  % (779170)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=2512205510:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2955 on theBenchmark for (2955ds/403Mi)
% 35.02/5.60  % (779170)Refutation not found, incomplete strategy
% 35.02/5.60  % (779170)------------------------------
% 35.02/5.60  % (779170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.02/5.60  % (779170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.02/5.60  % (779170)CaDiCaL version: 2.1.3
% 35.02/5.60  % (779170)Termination reason: Refutation not found, incomplete strategy
% 35.02/5.60  % (779170)Time elapsed: 0.001 s
% 35.02/5.60  % (779170)Peak memory usage: 11 MB
% 35.02/5.60  % (779170)Instructions burned: 1 (million)
% 35.02/5.60  % (779170)------------------------------
% 35.02/5.60  % (779170)------------------------------
% 35.02/5.60  % (779172)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1702313839:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2955 on theBenchmark for (2955ds/6843Mi)
% 35.02/5.60  % (779172)Refutation not found, incomplete strategy
% 35.02/5.60  % (779172)------------------------------
% 35.02/5.60  % (779172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.02/5.60  % (779172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.02/5.60  % (779172)CaDiCaL version: 2.1.3
% 35.02/5.60  % (779172)Termination reason: Refutation not found, incomplete strategy
% 35.02/5.60  % (779172)Time elapsed: 0.001 s
% 35.02/5.60  % (779172)Peak memory usage: 11 MB
% 35.02/5.60  % (779172)Instructions burned: 1 (million)
% 35.02/5.60  % (779172)------------------------------
% 35.02/5.60  % (779172)------------------------------
% 35.02/5.60  % (779168)Instruction limit reached! 
% 35.02/5.60  % (779168)------------------------------
% 35.02/5.60  % (779168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.02/5.60  % (779168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.02/5.60  % (779168)CaDiCaL version: 2.1.3
% 35.02/5.60  % (779168)Termination reason: Instruction limit
% 35.02/5.60  % (779168)Termination phase: Saturation
% 35.02/5.60  % (779168)Time elapsed: 0.075 s
% 35.02/5.60  % (779168)Peak memory usage: 13 MB
% 35.02/5.60  % (779168)Instructions burned: 413 (million)
% 35.02/5.60  % (779174)lrs+10_2:1_si=on:random_seed=2281993532:s2a=on:i=506:rtra=on:fe=abstraction_2954 on theBenchmark for (2954ds/506Mi)
% 35.02/5.60  % (779175)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2079093466:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2954 on theBenchmark for (2954ds/888Mi)
% 35.02/5.60  % (779155)Instruction limit reached! 
% 35.02/5.60  % (779155)------------------------------
% 35.02/5.60  % (779155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.02/5.60  % (779155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.02/5.60  % (779155)CaDiCaL version: 2.1.3
% 35.02/5.60  % (779155)Termination reason: Instruction limit
% 35.02/5.60  % (779155)Termination phase: Saturation
% 35.02/5.60  % (779155)Time elapsed: 0.541 s
% 35.02/5.60  % (779155)Peak memory usage: 13 MB
% 35.02/5.60  % (779155)Instructions burned: 1298 (million)
% 35.02/5.60  % (779178)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 35.02/5.60  % (779178)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2060017285:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2953 on theBenchmark for (2953ds/416Mi)
% 35.02/5.60  % (779175)Instruction limit reached! 
% 35.02/5.60  % (779175)------------------------------
% 35.02/5.60  % (779175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779175)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779175)Termination reason: Instruction limit
% 36.75/5.98  % (779175)Termination phase: Saturation
% 36.75/5.98  % (779175)Time elapsed: 0.192 s
% 36.75/5.98  % (779175)Peak memory usage: 12 MB
% 36.75/5.98  % (779175)Instructions burned: 890 (million)
% 36.75/5.98  % (779180)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=4005647868:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2952 on theBenchmark for (2952ds/13534Mi)
% 36.75/5.98  % (779180)Refutation not found, incomplete strategy
% 36.75/5.98  % (779180)------------------------------
% 36.75/5.98  % (779180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779180)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779180)Termination reason: Refutation not found, incomplete strategy
% 36.75/5.98  % (779180)Time elapsed: 0.0000 s
% 36.75/5.98  % (779180)Peak memory usage: 11 MB
% 36.75/5.98  % (779180)------------------------------
% 36.75/5.98  % (779180)------------------------------
% 36.75/5.98  % (779182)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.75/5.98  % (779182)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=3968462362:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2952 on theBenchmark for (2952ds/206Mi)
% 36.75/5.98  % (779174)Instruction limit reached! 
% 36.75/5.98  % (779174)------------------------------
% 36.75/5.98  % (779174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779174)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779174)Termination reason: Instruction limit
% 36.75/5.98  % (779174)Termination phase: Saturation
% 36.75/5.98  % (779174)Time elapsed: 0.222 s
% 36.75/5.98  % (779174)Peak memory usage: 12 MB
% 36.75/5.98  % (779174)Instructions burned: 508 (million)
% 36.75/5.98  % (779184)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2868460952:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2952 on theBenchmark for (2952ds/2295Mi)
% 36.75/5.98  % (779182)Instruction limit reached! 
% 36.75/5.98  % (779182)------------------------------
% 36.75/5.98  % (779182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779182)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779182)Termination reason: Instruction limit
% 36.75/5.98  % (779182)Termination phase: Saturation
% 36.75/5.98  % (779182)Time elapsed: 0.043 s
% 36.75/5.98  % (779182)Peak memory usage: 12 MB
% 36.75/5.98  % (779182)Instructions burned: 209 (million)
% 36.75/5.98  % (779186)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1396337679:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2952 on theBenchmark for (2952ds/637Mi)
% 36.75/5.98  % (779166)Instruction limit reached! 
% 36.75/5.98  % (779166)------------------------------
% 36.75/5.98  % (779166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779166)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779166)Termination reason: Instruction limit
% 36.75/5.98  % (779166)Termination phase: Saturation
% 36.75/5.98  % (779166)Time elapsed: 0.412 s
% 36.75/5.98  % (779166)Peak memory usage: 14 MB
% 36.75/5.98  % (779166)Instructions burned: 1003 (million)
% 36.75/5.98  % (779188)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=2101232887:hsq=on:i=667:rtra=on:ixr=off_2951 on theBenchmark for (2951ds/667Mi)
% 36.75/5.98  % (779178)Instruction limit reached! 
% 36.75/5.98  % (779178)------------------------------
% 36.75/5.98  % (779178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.75/5.98  % (779178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.75/5.98  % (779178)CaDiCaL version: 2.1.3
% 36.75/5.98  % (779178)Termination reason: Instruction limit
% 36.75/5.98  % (779178)Termination phase: Saturation
% 36.75/5.98  % (779178)Time elapsed: 0.195 s
% 43.43/6.85  % (779178)Peak memory usage: 14 MB
% 43.43/6.85  % (779178)Instructions burned: 418 (million)
% 43.43/6.85  % (779190)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2698209727:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2951 on theBenchmark for (2951ds/1801Mi)
% 43.43/6.85  % (779186)Instruction limit reached! 
% 43.43/6.85  % (779186)------------------------------
% 43.43/6.85  % (779186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.43/6.85  % (779186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.43/6.85  % (779186)CaDiCaL version: 2.1.3
% 43.43/6.85  % (779186)Termination reason: Instruction limit
% 43.43/6.85  % (779186)Termination phase: Saturation
% 43.43/6.85  % (779186)Time elapsed: 0.164 s
% 43.43/6.85  % (779186)Peak memory usage: 13 MB
% 43.43/6.85  % (779186)Instructions burned: 639 (million)
% 43.43/6.85  % (779196)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1212721685:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2950 on theBenchmark for (2950ds/555Mi)
% 43.43/6.85  % (779188)Instruction limit reached! 
% 43.43/6.85  % (779188)------------------------------
% 43.43/6.85  % (779188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.43/6.85  % (779188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.43/6.85  % (779188)CaDiCaL version: 2.1.3
% 43.43/6.85  % (779188)Termination reason: Instruction limit
% 43.43/6.85  % (779188)Termination phase: Saturation
% 43.43/6.85  % (779188)Time elapsed: 0.268 s
% 43.43/6.85  % (779188)Peak memory usage: 12 MB
% 43.43/6.85  % (779188)Instructions burned: 670 (million)
% 43.43/6.85  % (779199)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1379397289:i=88:s2at=3:nm=2:rtra=on:rawr=on_2948 on theBenchmark for (2948ds/88Mi)
% 43.43/6.85  % (779199)Instruction limit reached! 
% 43.43/6.85  % (779199)------------------------------
% 43.43/6.85  % (779199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.43/6.85  % (779199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.43/6.85  % (779199)CaDiCaL version: 2.1.3
% 43.43/6.85  % (779199)Termination reason: Instruction limit
% 43.43/6.85  % (779199)Termination phase: Saturation
% 43.43/6.85  % (779199)Time elapsed: 0.041 s
% 43.43/6.85  % (779199)Peak memory usage: 13 MB
% 43.43/6.85  % (779199)Instructions burned: 88 (million)
% 43.43/6.85  % (779196)Instruction limit reached! 
% 43.43/6.85  % (779196)------------------------------
% 43.43/6.85  % (779196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.43/6.85  % (779196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.43/6.85  % (779196)CaDiCaL version: 2.1.3
% 43.43/6.85  % (779196)Termination reason: Instruction limit
% 43.43/6.85  % (779196)Termination phase: Saturation
% 43.43/6.85  % (779196)Time elapsed: 0.210 s
% 43.43/6.85  % (779196)Peak memory usage: 11 MB
% 43.43/6.85  % (779196)Instructions burned: 556 (million)
% 43.43/6.85  % (779201)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3673920982:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2948 on theBenchmark for (2948ds/280Mi)
% 43.43/6.85  % (779202)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=272408763:s2a=on:i=3166:bd=preordered:rtra=on_2948 on theBenchmark for (2948ds/3166Mi)
% 43.43/6.85  % (779201)Instruction limit reached! 
% 43.43/6.85  % (779201)------------------------------
% 43.43/6.85  % (779201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.43/6.85  % (779201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.43/6.85  % (779201)CaDiCaL version: 2.1.3
% 43.43/6.85  % (779201)Termination reason: Instruction limit
% 43.43/6.85  % (779201)Termination phase: Saturation
% 43.43/6.85  % (779201)Time elapsed: 0.131 s
% 43.43/6.85  % (779201)Peak memory usage: 13 MB
% 43.43/6.85  % (779201)Instructions burned: 281 (million)
% 43.43/6.85  % (779205)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 43.43/6.85  % (779205)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=3263491243:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2946 on theBenchmark for (2946ds/4201Mi)
% 43.43/6.85  % (779205)Refutation not found, incomplete strategy
% 43.43/6.85  % (779205)------------------------------
% 46.37/7.08  % (779205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.37/7.08  % (779205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.37/7.08  % (779205)CaDiCaL version: 2.1.3
% 46.37/7.08  % (779205)Termination reason: Refutation not found, incomplete strategy
% 46.37/7.08  % (779205)Time elapsed: 0.002 s
% 46.37/7.08  % (779205)Peak memory usage: 12 MB
% 46.37/7.08  % (779205)Instructions burned: 3 (million)
% 46.37/7.08  % (779205)------------------------------
% 46.37/7.08  % (779205)------------------------------
% 46.37/7.08  % (779207)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2925184455:i=2352:rtra=on:ixr=off_2946 on theBenchmark for (2946ds/2352Mi)
% 46.37/7.08  % (779184)Instruction limit reached! 
% 46.37/7.08  % (779184)------------------------------
% 46.37/7.08  % (779184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.37/7.08  % (779184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.37/7.08  % (779184)CaDiCaL version: 2.1.3
% 46.37/7.08  % (779184)Termination reason: Instruction limit
% 46.37/7.08  % (779184)Termination phase: Saturation
% 46.37/7.08  % (779184)Time elapsed: 0.761 s
% 46.37/7.08  % (779184)Peak memory usage: 13 MB
% 46.37/7.08  % (779184)Instructions burned: 2296 (million)
% 46.37/7.08  % (779209)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 46.37/7.08  % (779209)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2970113005:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2944 on theBenchmark for (2944ds/452Mi)
% 46.37/7.08  % (779209)Refutation not found, incomplete strategy
% 46.37/7.08  % (779209)------------------------------
% 46.37/7.08  % (779209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.37/7.08  % (779209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.37/7.08  % (779209)CaDiCaL version: 2.1.3
% 46.37/7.08  % (779209)Termination reason: Refutation not found, incomplete strategy
% 46.37/7.08  % (779209)Time elapsed: 0.001 s
% 46.37/7.08  % (779209)Peak memory usage: 12 MB
% 46.37/7.08  % (779209)Instructions burned: 2 (million)
% 46.37/7.08  % (779209)------------------------------
% 46.37/7.08  % (779209)------------------------------
% 46.37/7.08  % (779211)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 46.37/7.08  % (779211)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 46.37/7.08  % (779211)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=4111907177:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2944 on theBenchmark for (2944ds/483Mi)
% 46.37/7.08  % (779211)Refutation not found, incomplete strategy
% 46.37/7.08  % (779211)------------------------------
% 46.37/7.08  % (779211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.37/7.08  % (779211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.37/7.08  % (779211)CaDiCaL version: 2.1.3
% 46.37/7.08  % (779211)Termination reason: Refutation not found, incomplete strategy
% 46.37/7.08  % (779211)Time elapsed: 0.001 s
% 46.37/7.08  % (779211)Peak memory usage: 12 MB
% 46.37/7.08  % (779211)------------------------------
% 46.37/7.08  % (779211)------------------------------
% 46.37/7.08  % (779213)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1756509420:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2944 on theBenchmark for (2944ds/168Mi)
% 46.37/7.08  % (779213)Instruction limit reached! 
% 46.37/7.08  % (779213)------------------------------
% 46.37/7.08  % (779213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.37/7.08  % (779213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.37/7.08  % (779213)CaDiCaL version: 2.1.3
% 46.37/7.08  % (779213)Termination reason: Instruction limit
% 46.37/7.08  % (779213)Termination phase: Saturation
% 46.37/7.08  % (779213)Time elapsed: 0.095 s
% 46.37/7.08  % (779213)Peak memory usage: 12 MB
% 46.37/7.08  % (779213)Instructions burned: 169 (million)
% 46.37/7.08  % (779215)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1795197023:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2942 on theBenchmark for (2942ds/17240Mi)
% 47.73/7.34  % (779190)Instruction limit reached! 
% 47.73/7.34  % (779190)------------------------------
% 47.73/7.34  % (779190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779190)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779190)Termination reason: Instruction limit
% 47.73/7.34  % (779190)Termination phase: Saturation
% 47.73/7.34  % (779190)Time elapsed: 1.074 s
% 47.73/7.34  % (779190)Peak memory usage: 19 MB
% 47.73/7.34  % (779190)Instructions burned: 1802 (million)
% 47.73/7.34  % (779218)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=375287718:i=2022:fsr=off:rtra=on:ixr=off_2940 on theBenchmark for (2940ds/2022Mi)
% 47.73/7.34  % (779038)Instruction limit reached! 
% 47.73/7.34  % (779038)------------------------------
% 47.73/7.34  % (779038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779038)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779038)Termination reason: Instruction limit
% 47.73/7.34  % (779038)Termination phase: Saturation
% 47.73/7.34  % (779038)Time elapsed: 3.649 s
% 47.73/7.34  % (779038)Peak memory usage: 22 MB
% 47.73/7.34  % (779038)Instructions burned: 6359 (million)
% 47.73/7.34  % (779220)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=2148123673:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2939 on theBenchmark for (2939ds/2274Mi)
% 47.73/7.34  % (779071)Instruction limit reached! 
% 47.73/7.34  % (779071)------------------------------
% 47.73/7.34  % (779071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779071)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779071)Termination reason: Instruction limit
% 47.73/7.34  % (779071)Termination phase: Saturation
% 47.73/7.34  % (779071)Time elapsed: 3.196 s
% 47.73/7.34  % (779071)Peak memory usage: 17 MB
% 47.73/7.34  % (779071)Instructions burned: 4386 (million)
% 47.73/7.34  % (779222)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3355237554:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2939 on theBenchmark for (2939ds/555Mi)
% 47.73/7.34  % (779222)Instruction limit reached! 
% 47.73/7.34  % (779222)------------------------------
% 47.73/7.34  % (779222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779222)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779222)Termination reason: Instruction limit
% 47.73/7.34  % (779222)Termination phase: Saturation
% 47.73/7.34  % (779222)Time elapsed: 0.208 s
% 47.73/7.34  % (779222)Peak memory usage: 13 MB
% 47.73/7.34  % (779222)Instructions burned: 556 (million)
% 47.73/7.34  % (779224)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=685558744:avsq=on:i=2220:rtra=on_2936 on theBenchmark for (2936ds/2220Mi)
% 47.73/7.34  % (779202)Instruction limit reached! 
% 47.73/7.34  % (779202)------------------------------
% 47.73/7.34  % (779202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779202)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779202)Termination reason: Instruction limit
% 47.73/7.34  % (779202)Termination phase: Saturation
% 47.73/7.34  % (779202)Time elapsed: 1.366 s
% 47.73/7.34  % (779202)Peak memory usage: 14 MB
% 47.73/7.34  % (779202)Instructions burned: 3166 (million)
% 47.73/7.34  % (779226)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3219455529:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2934 on theBenchmark for (2934ds/715Mi)
% 47.73/7.34  % (779226)Refutation not found, incomplete strategy
% 47.73/7.34  % (779226)------------------------------
% 47.73/7.34  % (779226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.73/7.34  % (779226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.73/7.34  % (779226)CaDiCaL version: 2.1.3
% 47.73/7.34  % (779226)Termination reason: Refutation not found, incomplete strategy
% 47.73/7.34  % (779226)Time elapsed: 0.001 s
% 50.28/7.89  % (779226)Peak memory usage: 11 MB
% 50.28/7.89  % (779226)Instructions burned: 2 (million)
% 50.28/7.89  % (779226)------------------------------
% 50.28/7.89  % (779226)------------------------------
% 50.28/7.89  % (779228)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 50.28/7.89  % (779228)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1138838501:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2934 on theBenchmark for (2934ds/1979Mi)
% 50.28/7.89  % (779228)Refutation not found, incomplete strategy
% 50.28/7.89  % (779228)------------------------------
% 50.28/7.89  % (779228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.28/7.89  % (779228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.28/7.89  % (779228)CaDiCaL version: 2.1.3
% 50.28/7.89  % (779228)Termination reason: Refutation not found, incomplete strategy
% 50.28/7.89  % (779228)Time elapsed: 0.001 s
% 50.28/7.89  % (779228)Peak memory usage: 12 MB
% 50.28/7.89  % (779228)Instructions burned: 1 (million)
% 50.28/7.89  % (779228)------------------------------
% 50.28/7.89  % (779228)------------------------------
% 50.28/7.89  % (779230)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4236196706:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2933 on theBenchmark for (2933ds/28911Mi)
% 50.28/7.89  % (779230)Refutation not found, incomplete strategy
% 50.28/7.89  % (779230)------------------------------
% 50.28/7.89  % (779230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.28/7.89  % (779230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.28/7.89  % (779230)CaDiCaL version: 2.1.3
% 50.28/7.89  % (779230)Termination reason: Refutation not found, incomplete strategy
% 50.28/7.89  % (779230)Time elapsed: 0.001 s
% 50.28/7.89  % (779230)Peak memory usage: 11 MB
% 50.28/7.89  % (779230)------------------------------
% 50.28/7.89  % (779230)------------------------------
% 50.28/7.89  % (779232)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=721343327:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2933 on theBenchmark for (2933ds/414Mi)
% 50.28/7.89  % (779232)Refutation not found, incomplete strategy
% 50.28/7.89  % (779232)------------------------------
% 50.28/7.89  % (779232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.28/7.89  % (779232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.28/7.89  % (779232)CaDiCaL version: 2.1.3
% 50.28/7.89  % (779232)Termination reason: Refutation not found, incomplete strategy
% 50.28/7.89  % (779232)Time elapsed: 0.002 s
% 50.28/7.89  % (779232)Peak memory usage: 12 MB
% 50.28/7.89  % (779232)Instructions burned: 3 (million)
% 50.28/7.89  % (779232)------------------------------
% 50.28/7.89  % (779232)------------------------------
% 50.28/7.89  % (779234)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1753030630:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2933 on theBenchmark for (2933ds/429Mi)
% 50.28/7.89  % (779207)Instruction limit reached! 
% 50.28/7.89  % (779207)------------------------------
% 50.28/7.89  % (779207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.28/7.89  % (779207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.28/7.89  % (779207)CaDiCaL version: 2.1.3
% 50.28/7.89  % (779207)Termination reason: Instruction limit
% 50.28/7.89  % (779207)Termination phase: Saturation
% 50.28/7.89  % (779207)Time elapsed: 1.433 s
% 50.28/7.89  % (779207)Peak memory usage: 13 MB
% 50.28/7.89  % (779207)Instructions burned: 2353 (million)
% 50.28/7.89  % (779236)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 50.28/7.89  % (779236)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3317616601:lrd=on:i=841:nm=0:rtra=on_2932 on theBenchmark for (2932ds/841Mi)
% 50.28/7.89  % (779218)Instruction limit reached! 
% 50.28/7.89  % (779218)------------------------------
% 50.28/7.89  % (779218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.28/7.89  % (779218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779218)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779218)Termination reason: Instruction limit
% 55.25/8.32  % (779218)Termination phase: Saturation
% 55.25/8.32  % (779218)Time elapsed: 0.856 s
% 55.25/8.32  % (779218)Peak memory usage: 14 MB
% 55.25/8.32  % (779218)Instructions burned: 2022 (million)
% 55.25/8.32  % (779238)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1563148607:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2931 on theBenchmark for (2931ds/445Mi)
% 55.25/8.32  % (779234)Instruction limit reached! 
% 55.25/8.32  % (779234)------------------------------
% 55.25/8.32  % (779234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779234)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779234)Termination reason: Instruction limit
% 55.25/8.32  % (779234)Termination phase: Saturation
% 55.25/8.32  % (779234)Time elapsed: 0.193 s
% 55.25/8.32  % (779234)Peak memory usage: 13 MB
% 55.25/8.32  % (779234)Instructions burned: 429 (million)
% 55.25/8.32  % (779240)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=3329090098:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2931 on theBenchmark for (2931ds/1324Mi)
% 55.25/8.32  % (779240)Refutation not found, incomplete strategy
% 55.25/8.32  % (779240)------------------------------
% 55.25/8.32  % (779240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779240)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779240)Termination reason: Refutation not found, incomplete strategy
% 55.25/8.32  % (779240)Time elapsed: 0.001 s
% 55.25/8.32  % (779240)Peak memory usage: 12 MB
% 55.25/8.32  % (779240)Instructions burned: 1 (million)
% 55.25/8.32  % (779240)------------------------------
% 55.25/8.32  % (779240)------------------------------
% 55.25/8.32  % (779242)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=327912572:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2931 on theBenchmark for (2931ds/5401Mi)
% 55.25/8.32  % (779242)Refutation not found, incomplete strategy
% 55.25/8.32  % (779242)------------------------------
% 55.25/8.32  % (779242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779242)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779242)Termination reason: Refutation not found, incomplete strategy
% 55.25/8.32  % (779242)Time elapsed: 0.001 s
% 55.25/8.32  % (779242)Peak memory usage: 11 MB
% 55.25/8.32  % (779242)------------------------------
% 55.25/8.32  % (779242)------------------------------
% 55.25/8.32  % (779244)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1595947344:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2930 on theBenchmark for (2930ds/4070Mi)
% 55.25/8.32  % (779224)Instruction limit reached! 
% 55.25/8.32  % (779224)------------------------------
% 55.25/8.32  % (779224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779224)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779224)Termination reason: Instruction limit
% 55.25/8.32  % (779224)Termination phase: Saturation
% 55.25/8.32  % (779224)Time elapsed: 0.723 s
% 55.25/8.32  % (779224)Peak memory usage: 14 MB
% 55.25/8.32  % (779224)Instructions burned: 2223 (million)
% 55.25/8.32  % (779238)Instruction limit reached! 
% 55.25/8.32  % (779238)------------------------------
% 55.25/8.32  % (779238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.25/8.32  % (779238)CaDiCaL version: 2.1.3
% 55.25/8.32  % (779238)Termination reason: Instruction limit
% 55.25/8.32  % (779238)Termination phase: Saturation
% 55.25/8.32  % (779238)Time elapsed: 0.222 s
% 55.25/8.32  % (779238)Peak memory usage: 14 MB
% 55.25/8.32  % (779238)Instructions burned: 446 (million)
% 55.25/8.32  % (779246)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2870030908:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2929 on theBenchmark for (2929ds/984Mi)
% 55.25/8.32  % (779246)Refutation not found, incomplete strategy
% 55.25/8.32  % (779246)------------------------------
% 55.25/8.32  % (779246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.25/8.32  % (779246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.44  % (779246)CaDiCaL version: 2.1.3
% 62.79/9.44  % (779246)Termination reason: Refutation not found, incomplete strategy
% 62.79/9.44  % (779246)Time elapsed: 0.001 s
% 62.79/9.44  % (779246)Peak memory usage: 12 MB
% 62.79/9.44  % (779246)Instructions burned: 1 (million)
% 62.79/9.44  % (779246)------------------------------
% 62.79/9.44  % (779246)------------------------------
% 62.79/9.44  % (779247)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3045097074:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2929 on theBenchmark for (2929ds/112Mi)
% 62.79/9.44  % (779247)Refutation not found, incomplete strategy
% 62.79/9.44  % (779247)------------------------------
% 62.79/9.44  % (779247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.79/9.44  % (779247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.44  % (779247)CaDiCaL version: 2.1.3
% 62.79/9.44  % (779247)Termination reason: Refutation not found, incomplete strategy
% 62.79/9.44  % (779247)Time elapsed: 0.001 s
% 62.79/9.44  % (779247)Peak memory usage: 12 MB
% 62.79/9.44  % (779247)Instructions burned: 1 (million)
% 62.79/9.44  % (779247)------------------------------
% 62.79/9.44  % (779247)------------------------------
% 62.79/9.47  % (779249)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3304922732:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2929 on theBenchmark for (2929ds/1144Mi)
% 62.79/9.47  % (779249)Refutation not found, incomplete strategy
% 62.79/9.47  % (779249)------------------------------
% 62.79/9.47  % (779249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.79/9.47  % (779249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.47  % (779249)CaDiCaL version: 2.1.3
% 62.79/9.47  % (779249)Termination reason: Refutation not found, incomplete strategy
% 62.79/9.47  % (779249)Time elapsed: 0.001 s
% 62.79/9.47  % (779249)Peak memory usage: 11 MB
% 62.79/9.47  % (779249)------------------------------
% 62.79/9.47  % (779249)------------------------------
% 62.79/9.47  % (779251)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1200161743:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2929 on theBenchmark for (2929ds/1352Mi)
% 62.79/9.47  % (779253)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=2876975379:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/693Mi)
% 62.79/9.47  % (779236)Instruction limit reached! 
% 62.79/9.47  % (779236)------------------------------
% 62.79/9.47  % (779236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.79/9.47  % (779236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.47  % (779236)CaDiCaL version: 2.1.3
% 62.79/9.47  % (779236)Termination reason: Instruction limit
% 62.79/9.47  % (779236)Termination phase: Saturation
% 62.79/9.47  % (779236)Time elapsed: 0.376 s
% 62.79/9.47  % (779236)Peak memory usage: 13 MB
% 62.79/9.47  % (779236)Instructions burned: 842 (million)
% 62.79/9.47  % (779256)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=4153349180:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/908Mi)
% 62.79/9.47  % (779253)Instruction limit reached! 
% 62.79/9.47  % (779253)------------------------------
% 62.79/9.47  % (779253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.79/9.47  % (779253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.47  % (779253)CaDiCaL version: 2.1.3
% 62.79/9.47  % (779253)Termination reason: Instruction limit
% 62.79/9.47  % (779253)Termination phase: Saturation
% 62.79/9.47  % (779253)Time elapsed: 0.279 s
% 62.79/9.47  % (779253)Peak memory usage: 12 MB
% 62.79/9.47  % (779253)Instructions burned: 694 (million)
% 62.79/9.47  % (779258)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=633462480:i=6901:add=on:slsql=off:rtra=on:ntd=on_2925 on theBenchmark for (2925ds/6901Mi)
% 62.79/9.47  % (779251)Instruction limit reached! 
% 62.79/9.47  % (779251)------------------------------
% 62.79/9.47  % (779251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 62.79/9.47  % (779251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.79/9.47  % (779251)CaDiCaL version: 2.1.3
% 62.79/9.47  % (779251)Termination reason: Instruction limit
% 62.79/9.47  % (779251)Termination phase: Saturation
% 68.34/10.21  % (779251)Time elapsed: 0.523 s
% 68.34/10.21  % (779251)Peak memory usage: 12 MB
% 68.34/10.21  % (779251)Instructions burned: 1355 (million)
% 68.34/10.21  % (779260)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1133502919:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2923 on theBenchmark for (2923ds/3621Mi)
% 68.34/10.21  % (779256)Instruction limit reached! 
% 68.34/10.21  % (779256)------------------------------
% 68.34/10.21  % (779256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.34/10.21  % (779256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.34/10.21  % (779256)CaDiCaL version: 2.1.3
% 68.34/10.21  % (779256)Termination reason: Instruction limit
% 68.34/10.21  % (779256)Termination phase: Saturation
% 68.34/10.21  % (779256)Time elapsed: 0.459 s
% 68.34/10.21  % (779256)Peak memory usage: 15 MB
% 68.34/10.21  % (779256)Instructions burned: 908 (million)
% 68.34/10.21  % (779262)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=4024022303:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2923 on theBenchmark for (2923ds/1160Mi)
% 68.34/10.21  % (779262)Refutation not found, incomplete strategy
% 68.34/10.21  % (779262)------------------------------
% 68.34/10.21  % (779262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.34/10.21  % (779262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.34/10.21  % (779262)CaDiCaL version: 2.1.3
% 68.34/10.21  % (779262)Termination reason: Refutation not found, incomplete strategy
% 68.34/10.21  % (779262)Time elapsed: 0.002 s
% 68.34/10.21  % (779262)Peak memory usage: 12 MB
% 68.34/10.21  % (779262)Instructions burned: 3 (million)
% 68.34/10.21  % (779262)------------------------------
% 68.34/10.21  % (779262)------------------------------
% 68.34/10.21  % (779264)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=679139925:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2923 on theBenchmark for (2923ds/570Mi)
% 68.34/10.21  % (779220)Instruction limit reached! 
% 68.34/10.21  % (779220)------------------------------
% 68.34/10.21  % (779220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.34/10.21  % (779220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.34/10.21  % (779220)CaDiCaL version: 2.1.3
% 68.34/10.21  % (779220)Termination reason: Instruction limit
% 68.34/10.21  % (779220)Termination phase: Saturation
% 68.34/10.21  % (779220)Time elapsed: 1.660 s
% 68.34/10.21  % (779220)Peak memory usage: 17 MB
% 68.34/10.21  % (779220)Instructions burned: 2274 (million)
% 68.34/10.21  % (779266)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=854600588:i=324:bd=all:ins=4:rtra=on_2922 on theBenchmark for (2922ds/324Mi)
% 68.34/10.21  % (779266)Instruction limit reached! 
% 68.34/10.21  % (779266)------------------------------
% 68.34/10.21  % (779266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.34/10.21  % (779266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.34/10.21  % (779266)CaDiCaL version: 2.1.3
% 68.34/10.21  % (779266)Termination reason: Instruction limit
% 68.34/10.21  % (779266)Termination phase: Saturation
% 68.34/10.21  % (779266)Time elapsed: 0.204 s
% 68.34/10.21  % (779266)Peak memory usage: 14 MB
% 68.34/10.21  % (779266)Instructions burned: 327 (million)
% 68.34/10.21  % (779269)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=3043154103:s2a=on:i=5712:rtra=on_2920 on theBenchmark for (2920ds/5712Mi)
% 68.34/10.21  % (779162)Instruction limit reached! 
% 68.34/10.21  % (779162)------------------------------
% 68.34/10.21  % (779162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.34/10.21  % (779162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.34/10.21  % (779162)CaDiCaL version: 2.1.3
% 68.34/10.21  % (779162)Termination reason: Instruction limit
% 68.34/10.21  % (779162)Termination phase: Saturation
% 68.34/10.21  % (779162)Time elapsed: 3.760 s
% 68.34/10.21  % (779162)Peak memory usage: 27 MB
% 68.34/10.21  % (779162)Instructions burned: 6581 (million)
% 68.34/10.21  % (779271)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 68.34/10.21  % (779271)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 70.58/10.78  % (779271)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=1218104897:i=901:rtra=on:fsd=on_2919 on theBenchmark for (2919ds/901Mi)
% 70.58/10.78  % (779264)Instruction limit reached! 
% 70.58/10.78  % (779264)------------------------------
% 70.58/10.78  % (779264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.58/10.78  % (779264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.58/10.78  % (779264)CaDiCaL version: 2.1.3
% 70.58/10.78  % (779264)Termination reason: Instruction limit
% 70.58/10.78  % (779264)Termination phase: Saturation
% 70.58/10.78  % (779264)Time elapsed: 0.377 s
% 70.58/10.78  % (779264)Peak memory usage: 13 MB
% 70.58/10.78  % (779264)Instructions burned: 570 (million)
% 70.58/10.78  % (779273)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=543590704:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2919 on theBenchmark for (2919ds/2961Mi)
% 70.58/10.78  % (779273)Refutation not found, incomplete strategy
% 70.58/10.78  % (779273)------------------------------
% 70.58/10.78  % (779273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.58/10.78  % (779273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.58/10.78  % (779273)CaDiCaL version: 2.1.3
% 70.58/10.78  % (779273)Termination reason: Refutation not found, incomplete strategy
% 70.58/10.78  % (779273)Time elapsed: 0.001 s
% 70.58/10.78  % (779273)Peak memory usage: 11 MB
% 70.58/10.78  % (779273)------------------------------
% 70.58/10.78  % (779273)------------------------------
% 70.58/10.78  % (779275)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2969210371:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2918 on theBenchmark for (2918ds/3526Mi)
% 70.58/10.78  % (779215)Instruction limit reached! 
% 70.58/10.78  % (779215)------------------------------
% 70.58/10.78  % (779215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.58/10.78  % (779215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.58/10.78  % (779215)CaDiCaL version: 2.1.3
% 70.58/10.78  % (779215)Termination reason: Instruction limit
% 70.58/10.78  % (779215)Termination phase: Saturation
% 70.58/10.78  % (779215)Time elapsed: 2.652 s
% 70.58/10.78  % (779215)Peak memory usage: 17 MB
% 70.58/10.78  % (779215)Instructions burned: 17242 (million)
% 70.58/10.78  % (779277)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=691189065:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2916 on theBenchmark for (2916ds/3368Mi)
% 70.58/10.78  % (779277)Refutation not found, incomplete strategy
% 70.58/10.78  % (779277)------------------------------
% 70.58/10.78  % (779277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.58/10.78  % (779277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.58/10.78  % (779277)CaDiCaL version: 2.1.3
% 70.58/10.78  % (779277)Termination reason: Refutation not found, incomplete strategy
% 70.58/10.78  % (779277)Time elapsed: 0.001 s
% 70.58/10.78  % (779277)Peak memory usage: 12 MB
% 70.58/10.78  % (779277)------------------------------
% 70.58/10.78  % (779277)------------------------------
% 70.58/10.78  % (779279)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=1164853010:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2916 on theBenchmark for (2916ds/20626Mi)
% 70.58/10.78  % (779271)Instruction limit reached! 
% 70.58/10.78  % (779271)------------------------------
% 70.58/10.78  % (779271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.58/10.78  % (779271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.58/10.78  % (779271)CaDiCaL version: 2.1.3
% 70.58/10.78  % (779271)Termination reason: Instruction limit
% 70.58/10.78  % (779271)Termination phase: Saturation
% 70.58/10.78  % (779271)Time elapsed: 0.483 s
% 70.58/10.78  % (779271)Peak memory usage: 13 MB
% 70.58/10.78  % (779271)Instructions burned: 901 (million)
% 70.58/10.78  % (779281)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2774528391:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2914 on theBenchmark for (2914ds/27154Mi)
% 70.58/10.78  % (779260)Instruction limit reached! 
% 70.58/10.78  % (779260)------------------------------
% 70.58/10.78  % (779260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779260)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779260)Termination reason: Instruction limit
% 75.92/11.32  % (779260)Termination phase: Saturation
% 75.92/11.32  % (779260)Time elapsed: 1.530 s
% 75.92/11.32  % (779260)Peak memory usage: 17 MB
% 75.92/11.32  % (779260)Instructions burned: 3622 (million)
% 75.92/11.32  % (779283)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=905881102:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2908 on theBenchmark for (2908ds/515Mi)
% 75.92/11.32  % (779283)Refutation not found, incomplete strategy
% 75.92/11.32  % (779283)------------------------------
% 75.92/11.32  % (779283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779283)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779283)Termination reason: Refutation not found, incomplete strategy
% 75.92/11.32  % (779283)Time elapsed: 0.001 s
% 75.92/11.32  % (779283)Peak memory usage: 12 MB
% 75.92/11.32  % (779283)Instructions burned: 1 (million)
% 75.92/11.32  % (779283)------------------------------
% 75.92/11.32  % (779283)------------------------------
% 75.92/11.32  % (779244)Instruction limit reached! 
% 75.92/11.32  % (779244)------------------------------
% 75.92/11.32  % (779244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779244)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779244)Termination reason: Instruction limit
% 75.92/11.32  % (779244)Termination phase: Saturation
% 75.92/11.32  % (779244)Time elapsed: 2.273 s
% 75.92/11.32  % (779244)Peak memory usage: 18 MB
% 75.92/11.32  % (779244)Instructions burned: 4070 (million)
% 75.92/11.32  % (779286)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 75.92/11.32  % (779285)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1838133103:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2907 on theBenchmark for (2907ds/2653Mi)
% 75.92/11.32  % (779286)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2271352705:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2907 on theBenchmark for (2907ds/1297Mi)
% 75.92/11.32  % (779258)Instruction limit reached! 
% 75.92/11.32  % (779258)------------------------------
% 75.92/11.32  % (779258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779258)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779258)Termination reason: Instruction limit
% 75.92/11.32  % (779258)Termination phase: Saturation
% 75.92/11.32  % (779258)Time elapsed: 2.417 s
% 75.92/11.32  % (779258)Peak memory usage: 15 MB
% 75.92/11.32  % (779258)Instructions burned: 6902 (million)
% 75.92/11.32  % (779289)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1823506274:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2901 on theBenchmark for (2901ds/1950Mi)
% 75.92/11.32  % (779275)Instruction limit reached! 
% 75.92/11.32  % (779275)------------------------------
% 75.92/11.32  % (779275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779275)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779275)Termination reason: Instruction limit
% 75.92/11.32  % (779275)Termination phase: Saturation
% 75.92/11.32  % (779275)Time elapsed: 1.771 s
% 75.92/11.32  % (779275)Peak memory usage: 14 MB
% 75.92/11.32  % (779275)Instructions burned: 3526 (million)
% 75.92/11.32  % (779292)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=4292592324:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2900 on theBenchmark for (2900ds/2818Mi)
% 75.92/11.32  % (779286)Instruction limit reached! 
% 75.92/11.32  % (779286)------------------------------
% 75.92/11.32  % (779286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 75.92/11.32  % (779286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.92/11.32  % (779286)CaDiCaL version: 2.1.3
% 75.92/11.32  % (779286)Termination reason: Instruction limit
% 75.92/11.32  % (779286)Termination phase: Saturation
% 83.24/12.34  % (779286)Time elapsed: 0.724 s
% 83.24/12.34  % (779286)Peak memory usage: 13 MB
% 83.24/12.34  % (779286)Instructions burned: 1298 (million)
% 83.24/12.34  % (779294)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=1167540673:s2a=on:i=573:rtra=on:gsp=on_2900 on theBenchmark for (2900ds/573Mi)
% 83.24/12.34  % (779294)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 83.24/12.34  % (779294)Instruction limit reached! 
% 83.24/12.34  % (779294)------------------------------
% 83.24/12.34  % (779294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.24/12.34  % (779294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.24/12.34  % (779294)CaDiCaL version: 2.1.3
% 83.24/12.34  % (779294)Termination reason: Instruction limit
% 83.24/12.34  % (779294)Termination phase: Saturation
% 83.24/12.34  % (779294)Time elapsed: 0.195 s
% 83.24/12.34  % (779294)Peak memory usage: 12 MB
% 83.24/12.34  % (779294)Instructions burned: 575 (million)
% 83.24/12.34  % (779296)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=2333531775:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2898 on theBenchmark for (2898ds/9598Mi)
% 83.24/12.34  % (779269)Instruction limit reached! 
% 83.24/12.34  % (779269)------------------------------
% 83.24/12.34  % (779269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.24/12.34  % (779269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.24/12.34  % (779269)CaDiCaL version: 2.1.3
% 83.24/12.34  % (779269)Termination reason: Instruction limit
% 83.24/12.34  % (779269)Termination phase: Saturation
% 83.24/12.34  % (779269)Time elapsed: 2.257 s
% 83.24/12.34  % (779269)Peak memory usage: 14 MB
% 83.24/12.34  % (779269)Instructions burned: 5713 (million)
% 83.24/12.34  % (779298)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 83.24/12.34  % (779298)ott+1002_16_sil=128000:si=on:random_seed=3664803520:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2897 on theBenchmark for (2897ds/409Mi)
% 83.24/12.34  % (779298)Instruction limit reached! 
% 83.24/12.34  % (779298)------------------------------
% 83.24/12.34  % (779298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.24/12.34  % (779298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.24/12.34  % (779298)CaDiCaL version: 2.1.3
% 83.24/12.34  % (779298)Termination reason: Instruction limit
% 83.24/12.34  % (779298)Termination phase: Saturation
% 83.24/12.34  % (779298)Time elapsed: 0.137 s
% 83.24/12.34  % (779298)Peak memory usage: 13 MB
% 83.24/12.34  % (779298)Instructions burned: 412 (million)
% 83.24/12.34  % (779300)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=161720555:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2895 on theBenchmark for (2895ds/403Mi)
% 83.24/12.34  % (779300)Refutation not found, incomplete strategy
% 83.24/12.34  % (779300)------------------------------
% 83.24/12.34  % (779300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.24/12.34  % (779300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.24/12.34  % (779300)CaDiCaL version: 2.1.3
% 83.24/12.34  % (779300)Termination reason: Refutation not found, incomplete strategy
% 83.24/12.34  % (779300)Time elapsed: 0.001 s
% 83.24/12.34  % (779300)Peak memory usage: 12 MB
% 83.24/12.34  % (779300)Instructions burned: 1 (million)
% 83.24/12.34  % (779300)------------------------------
% 83.24/12.34  % (779300)------------------------------
% 83.24/12.34  % (779302)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=117412483:cond=on:i=1140:rtra=on:ntd=on_2895 on theBenchmark for (2895ds/1140Mi)
% 83.24/12.34  % (779285)Instruction limit reached! 
% 83.24/12.34  % (779285)------------------------------
% 83.24/12.34  % (779285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.24/12.34  % (779285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.24/12.34  % (779285)CaDiCaL version: 2.1.3
% 83.24/12.34  % (779285)Termination reason: Instruction limit
% 83.24/12.34  % (779285)Termination phase: Saturation
% 83.24/12.34  % (779285)Time elapsed: 1.272 s
% 83.24/12.34  % (779285)Peak memory usage: 14 MB
% 83.24/12.34  % (779285)Instructions burned: 2655 (million)
% 83.24/12.34  % (779304)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3317214254:i=13574:kws=inv_precedence:rtra=on_2894 on theBenchmark for (2894ds/13574Mi)
% 85.55/12.75  % (779304)Refutation not found, incomplete strategy
% 85.55/12.75  % (779304)------------------------------
% 85.55/12.75  % (779304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779304)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779304)Termination reason: Refutation not found, incomplete strategy
% 85.55/12.75  % (779304)Time elapsed: 0.001 s
% 85.55/12.75  % (779304)Peak memory usage: 12 MB
% 85.55/12.75  % (779304)Instructions burned: 1 (million)
% 85.55/12.75  % (779304)------------------------------
% 85.55/12.75  % (779304)------------------------------
% 85.55/12.75  % (779306)lrs+10_2:1_si=on:random_seed=3557962594:s2a=on:i=1055:rtra=on:fe=abstraction_2894 on theBenchmark for (2894ds/1055Mi)
% 85.55/12.75  % (779302)Instruction limit reached! 
% 85.55/12.75  % (779302)------------------------------
% 85.55/12.75  % (779302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779302)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779302)Termination reason: Instruction limit
% 85.55/12.75  % (779302)Termination phase: Saturation
% 85.55/12.75  % (779302)Time elapsed: 0.387 s
% 85.55/12.75  % (779302)Peak memory usage: 12 MB
% 85.55/12.75  % (779302)Instructions burned: 1141 (million)
% 85.55/12.75  % (779308)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 85.55/12.75  % (779308)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1204901129:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2891 on theBenchmark for (2891ds/416Mi)
% 85.55/12.75  % (779289)Instruction limit reached! 
% 85.55/12.75  % (779289)------------------------------
% 85.55/12.75  % (779289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779289)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779289)Termination reason: Instruction limit
% 85.55/12.75  % (779289)Termination phase: Saturation
% 85.55/12.75  % (779289)Time elapsed: 1.120 s
% 85.55/12.75  % (779289)Peak memory usage: 14 MB
% 85.55/12.75  % (779289)Instructions burned: 1952 (million)
% 85.55/12.75  % (779306)Instruction limit reached! 
% 85.55/12.75  % (779306)------------------------------
% 85.55/12.75  % (779306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779306)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779306)Termination reason: Instruction limit
% 85.55/12.75  % (779306)Termination phase: Saturation
% 85.55/12.75  % (779306)Time elapsed: 0.459 s
% 85.55/12.75  % (779306)Peak memory usage: 13 MB
% 85.55/12.75  % (779306)Instructions burned: 1056 (million)
% 85.55/12.75  % (779310)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=706042341:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2890 on theBenchmark for (2890ds/8946Mi)
% 85.55/12.75  % (779311)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1870342573:s2a=on:i=2129:nm=16:rtra=on_2889 on theBenchmark for (2889ds/2129Mi)
% 85.55/12.75  % (779311)Refutation not found, incomplete strategy
% 85.55/12.75  % (779311)------------------------------
% 85.55/12.75  % (779311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779311)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779311)Termination reason: Refutation not found, incomplete strategy
% 85.55/12.75  % (779311)Time elapsed: 0.001 s
% 85.55/12.75  % (779311)Peak memory usage: 12 MB
% 85.55/12.75  % (779311)Instructions burned: 1 (million)
% 85.55/12.75  % (779311)------------------------------
% 85.55/12.75  % (779311)------------------------------
% 85.55/12.75  % (779314)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1782788077:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2889 on theBenchmark for (2889ds/300Mi)
% 85.55/12.75  % (779308)Instruction limit reached! 
% 85.55/12.75  % (779308)------------------------------
% 85.55/12.75  % (779308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779308)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779308)Termination reason: Instruction limit
% 85.55/12.75  % (779308)Termination phase: Saturation
% 85.55/12.75  % (779308)Time elapsed: 0.195 s
% 85.55/12.75  % (779308)Peak memory usage: 14 MB
% 85.55/12.75  % (779308)Instructions burned: 418 (million)
% 85.55/12.75  % (779316)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=2654077348:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2889 on theBenchmark for (2889ds/11464Mi)
% 85.55/12.75  % (779316)Refutation not found, incomplete strategy
% 85.55/12.75  % (779316)------------------------------
% 85.55/12.75  % (779316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779316)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779316)Termination reason: Refutation not found, incomplete strategy
% 85.55/12.75  % (779316)Time elapsed: 0.002 s
% 85.55/12.75  % (779316)Peak memory usage: 12 MB
% 85.55/12.75  % (779316)Instructions burned: 3 (million)
% 85.55/12.75  % (779316)------------------------------
% 85.55/12.75  % (779316)------------------------------
% 85.55/12.75  % (779318)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=4175897004:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2889 on theBenchmark for (2889ds/11001Mi)
% 85.55/12.75  % (779314)Instruction limit reached! 
% 85.55/12.75  % (779314)------------------------------
% 85.55/12.75  % (779314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779314)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779314)Termination reason: Instruction limit
% 85.55/12.75  % (779314)Termination phase: Saturation
% 85.55/12.75  % (779314)Time elapsed: 0.119 s
% 85.55/12.75  % (779314)Peak memory usage: 13 MB
% 85.55/12.75  % (779314)Instructions burned: 301 (million)
% 85.55/12.75  % (779320)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3898561286:hsq=on:i=662:rtra=on:ixr=off_2888 on theBenchmark for (2888ds/662Mi)
% 85.55/12.75  % (779320)Instruction limit reached! 
% 85.55/12.75  % (779320)------------------------------
% 85.55/12.75  % (779320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779320)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779320)Termination reason: Instruction limit
% 85.55/12.75  % (779320)Termination phase: Saturation
% 85.55/12.75  % (779320)Time elapsed: 0.260 s
% 85.55/12.75  % (779320)Peak memory usage: 12 MB
% 85.55/12.75  % (779320)Instructions burned: 666 (million)
% 85.55/12.75  % (779322)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=4289722020:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2885 on theBenchmark for (2885ds/1714Mi)
% 85.55/12.75  % (779292)Instruction limit reached! 
% 85.55/12.75  % (779292)------------------------------
% 85.55/12.75  % (779292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779292)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779292)Termination reason: Instruction limit
% 85.55/12.75  % (779292)Termination phase: Saturation
% 85.55/12.75  % (779292)Time elapsed: 1.742 s
% 85.55/12.75  % (779292)Peak memory usage: 13 MB
% 85.55/12.75  % (779292)Instructions burned: 2819 (million)
% 85.55/12.75  % (779324)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=4227507944:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2883 on theBenchmark for (2883ds/699Mi)
% 85.55/12.75  % (779324)Instruction limit reached! 
% 85.55/12.75  % (779324)------------------------------
% 85.55/12.75  % (779324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779324)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779324)Termination reason: Instruction limit
% 85.55/12.75  % (779324)Termination phase: Saturation
% 85.55/12.75  % (779324)Time elapsed: 0.367 s
% 85.55/12.75  % (779324)Peak memory usage: 14 MB
% 85.55/12.75  % (779324)Instructions burned: 699 (million)
% 85.55/12.75  % (779322)Instruction limit reached! 
% 85.55/12.75  % (779322)------------------------------
% 85.55/12.75  % (779322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779322)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779322)Termination reason: Instruction limit
% 85.55/12.75  % (779322)Termination phase: Saturation
% 85.55/12.75  % (779322)Time elapsed: 0.625 s
% 85.55/12.75  % (779322)Peak memory usage: 15 MB
% 85.55/12.75  % (779322)Instructions burned: 1716 (million)
% 85.55/12.75  % (779326)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=773762632:i=4542:bd=preordered:rtra=on:ss=axioms_2879 on theBenchmark for (2879ds/4542Mi)
% 85.55/12.75  % (779326)Refutation not found, incomplete strategy
% 85.55/12.75  % (779326)------------------------------
% 85.55/12.75  % (779326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779326)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779326)Termination reason: Refutation not found, incomplete strategy
% 85.55/12.75  % (779326)Time elapsed: 0.001 s
% 85.55/12.75  % (779326)Peak memory usage: 11 MB
% 85.55/12.75  % (779326)------------------------------
% 85.55/12.75  % (779326)------------------------------
% 85.55/12.75  % (779327)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2812793129:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2879 on theBenchmark for (2879ds/280Mi)
% 85.55/12.75  % (779329)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 85.55/12.75  % (779329)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3821663002:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2879 on theBenchmark for (2879ds/13409Mi)
% 85.55/12.75  % (779327)Instruction limit reached! 
% 85.55/12.75  % (779327)------------------------------
% 85.55/12.75  % (779327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 85.55/12.75  % (779327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.55/12.75  % (779327)CaDiCaL version: 2.1.3
% 85.55/12.75  % (779327)Termination reason: Instruction limit
% 85.55/12.75  % (779327)Termination phase: Saturation
% 85.55/12.75  % (779327)Time elapsed: 0.131 s
% 85.55/12.75  % (779327)Peak memory usage: 13 MB
% 85.55/12.75  % (779327)Instructions burned: 282 (million)
% 85.55/12.75  % (779332)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2675698185:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2877 on theBenchmark for (2877ds/26870Mi)
% 85.55/12.75  % (779279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-778715-779279"...
% 85.55/12.75  % (779279)...printing done.
% 85.55/12.75  % (779279)Refutation found. Thanks to Tanya!
% 85.55/12.75  % SZS status Unsatisfiable for theBenchmark
% 85.55/12.75  % SZS output start Proof for theBenchmark
% See solution above
% 86.57/12.91  % (779279)------------------------------
% 86.57/12.91  % (779279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.57/12.91  % (779279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.57/12.91  % (779279)CaDiCaL version: 2.1.3
% 86.57/12.91  % (779279)Termination reason: Refutation
% 86.57/12.91  % (779279)Time elapsed: 4.075 s
% 86.57/12.91  % (779279)Peak memory usage: 28 MB
% 86.57/12.91  % (779279)Instructions burned: 12098 (million)
% 86.57/12.91  % (778715)Success in time 12.651 s
% 86.57/12.91  % Vampire exiting
%------------------------------------------------------------------------------