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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRA168^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 08:02:17 AM UTC 2026

% Result   : Unsatisfiable 67.72s 10.58s
% Output   : Refutation 68.63s
% 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/sandbox/benchmark/theBenchmark.p',snz) ).

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

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

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

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

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

thf(f7,axiom,
    ! [X4: $i,X3: $i,X2: $i,X0: $i,X1: $i] :
      ( ~ ( b @ X1 @ X4 )
      | ~ ( b @ X1 @ X3 )
      | ~ ( b @ X3 @ X4 )
      | ~ ( b @ X0 @ X3 )
      | ~ ( b @ X0 @ X1 )
      | ~ ( b @ X1 @ X2 )
      | ~ ( b @ X2 @ X4 ) ),
    file('/export/starexec/sandbox/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] :
      ~ ( r @ X0 @ X0 ),
    inference(rectify,[],[f3]) ).

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

thf(f12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( b @ X4 @ X0 )
      | ~ ( b @ X4 @ X1 )
      | ~ ( b @ X1 @ X0 )
      | ~ ( b @ X3 @ X1 )
      | ~ ( b @ X3 @ X4 )
      | ~ ( b @ X4 @ X2 )
      | ~ ( b @ X2 @ X0 ) ),
    inference(rectify,[],[f7]) ).

thf(f13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( $true
       != ( b @ X4 @ X0 ) )
      | ( ( b @ X4 @ X1 )
       != $true )
      | ( ( b @ X1 @ X0 )
       != $true )
      | ( $true
       != ( b @ X3 @ X1 ) )
      | ( ( b @ X3 @ X4 )
       != $true )
      | ( ( b @ X4 @ X2 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r @ X1 @ X2 )
      | ~ ( r @ X1 @ X0 )
      | ~ ( r @ X0 @ X2 ) ),
    inference(rectify,[],[f6]) ).

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

thf(f16,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ( b @ X1 @ X0 )
      | ( r @ X1 @ X0 ) ),
    inference(rectify,[],[f5]) ).

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

thf(f18,plain,
    ! [X1: $i,X0: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f19,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f9]) ).

thf(f20,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(flattening,[],[f11]) ).

thf(f21,plain,
    ! [X3: $i,X2: $i,X4: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X0 )
       != $true )
      | ( ( b @ X2 @ X0 )
       != $true )
      | ( $true
       != ( b @ X3 @ X1 ) )
      | ( ( b @ X4 @ X1 )
       != $true )
      | ( ( b @ X4 @ X2 )
       != $true )
      | ( ( b @ X3 @ X4 )
       != $true )
      | ( $true
       != ( b @ X4 @ X0 ) ) ),
    inference(flattening,[],[f13]) ).

thf(f22,plain,
    ! [X1: $i,X2: $i,X0: $i] :
      ( ( ( r @ X1 @ X0 )
       != $true )
      | ( ( r @ X0 @ X2 )
       != $true )
      | ( ( r @ X1 @ X2 )
       != $true ) ),
    inference(flattening,[],[f15]) ).

thf(f23,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f18]) ).

thf(f24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( r @ X0 @ X2 )
       != $true )
      | ( ( r @ X2 @ X1 )
       != $true )
      | ( ( r @ X0 @ X1 )
       != $true ) ),
    inference(rectify,[],[f22]) ).

thf(f25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( b @ X4 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X0 @ X4 )
       != $true )
      | ( ( b @ X2 @ X4 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(rectify,[],[f21]) ).

thf(f26,plain,
    ! [X0: $i] :
      ( ( b @ X0 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f19]) ).

thf(f27,plain,
    ! [X0: $i] :
      ( ( r @ X0 @ X0 )
     != $true ),
    inference(cnf_transformation,[],[f20]) ).

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

thf(f29,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ X0 )
       != ( s @ X1 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f30,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X0 )
        = $true )
      | ( ( r @ X1 @ X0 )
        = $true )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f17]) ).

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

thf(f32,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
      ( ( ( b @ X4 @ X3 )
       != $true )
      | ( ( b @ X0 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X3 )
       != $true )
      | ( ( b @ X2 @ X4 )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X0 @ X4 )
       != $true ) ),
    inference(cnf_transformation,[],[f25]) ).

thf(f35,plain,
    ! [X0: $i] :
      ( ( ( b @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f30,f28]) ).

thf(f36,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ X0 ) @ z )
        = $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(extensionality_resolution,[],[f30,f28]) ).

thf(f37,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
        = $true )
      | ( X0 = X1 )
      | ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f30,f29]) ).

thf(f42,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X3 @ ( s @ X0 ) )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true ) ),
    inference(constrained_superposition,[],[f32,f35]) ).

thf(f43,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( b @ X2 @ ( s @ X0 ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f42]) ).

thf(f45,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true ) ),
    inference(constrained_superposition,[],[f43,f35]) ).

thf(f47,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ z )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f45]) ).

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

thf(f54,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X3 @ z ) )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ X0 ) )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f36]) ).

thf(f55,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true
       != ( b @ X3 @ z ) )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ X0 ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ ( s @ X0 ) @ z )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f54]) ).

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

thf(f61,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f37,f28]) ).

thf(f62,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,f29]) ).

thf(f73,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ z ) )
        = $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true ) ),
    inference(constrained_superposition,[],[f48,f60]) ).

thf(f75,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X3 @ ( s @ z ) )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f60]) ).

thf(f76,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f75]) ).

thf(f77,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ z ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
        = $true )
      | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f73]) ).

thf(f81,definition,
    ( spl0_1
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

thf(f82,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f81]) ).

thf(f84,definition,
    ( spl0_2
  <=> ( ( r @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

thf(f85,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f84]) ).

thf(f86,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f77,f84,f81]) ).

thf(f91,definition,
    ( spl0_4
  <=> ( ( r @ ( s @ z ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

thf(f92,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f91]) ).

thf(f116,definition,
    ( spl0_7
  <=> ( ( b @ z @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

thf(f117,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | spl0_7 ),
    inference(avatar_component_clause,[],[f116]) ).

thf(f119,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_7 ),
    inference(constrained_superposition,[],[f117,f35]) ).

thf(f121,plain,
    ( ( ( r @ z @ ( s @ z ) )
      = $true )
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f119]) ).

thf(f125,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) ) ),
    inference(constrained_superposition,[],[f48,f61]) ).

thf(f127,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( $true != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f61]) ).

thf(f128,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ ( s @ z ) @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f125]) ).

thf(f132,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f127]) ).

thf(f134,definition,
    ( spl0_8
  <=> ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

thf(f135,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f134]) ).

thf(f137,definition,
    ( spl0_9
  <=> ( ( b @ ( s @ z ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

thf(f138,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_9 ),
    inference(avatar_component_clause,[],[f137]) ).

thf(f140,definition,
    ( spl0_10
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

thf(f141,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ z ) ) )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f140]) ).

thf(f142,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f128,f140,f137,f134]) ).

thf(f150,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_9 ),
    inference(constrained_superposition,[],[f138,f36]) ).

thf(f153,plain,
    ( ( ( r @ ( s @ z ) @ z )
      = $true )
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f150]) ).

thf(f155,plain,
    ( spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f153,f137,f91]) ).

thf(f159,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f132,f61]) ).

thf(f161,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f159]) ).

thf(f162,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( b @ X2 @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f161]) ).

thf(f166,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ z @ ( s @ z ) )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ X1 @ z )
       != $true ) ),
    inference(constrained_superposition,[],[f162,f35]) ).

thf(f171,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( b @ z @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f166]) ).

thf(f174,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f31,f135]) ).

thf(f175,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f174]) ).

thf(f179,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f62,f28]) ).

thf(f180,plain,
    ! [X0: $i] :
      ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(extensionality_resolution,[],[f62,f28]) ).

thf(f181,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
        = $true )
      | ( X0 = X1 ) ),
    inference(extensionality_resolution,[],[f62,f29]) ).

thf(f203,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f179]) ).

thf(f210,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ z ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f203]) ).

thf(f212,definition,
    ( spl0_13
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

thf(f213,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f212]) ).

thf(f219,definition,
    ( spl0_15
  <=> ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

thf(f220,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f219]) ).

thf(f229,definition,
    ( spl0_18
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

thf(f230,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f229]) ).

thf(f236,definition,
    ( spl0_20
  <=> ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

thf(f237,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f236]) ).

thf(f239,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f31,f220]) ).

thf(f240,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f239]) ).

thf(f242,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f31,f213]) ).

thf(f244,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f242]) ).

thf(f245,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f240,f213]) ).

thf(f246,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(constrained_superposition,[],[f240,f135]) ).

thf(f247,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f245]) ).

thf(f248,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f246]) ).

thf(f250,plain,
    ( ~ spl0_4
    | spl0_20
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f248,f219,f134,f236,f91]) ).

thf(f251,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f247,f219,f212,f91]) ).

thf(f282,definition,
    ( spl0_22
  <=> ( ( b @ z @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

thf(f283,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_22 ),
    inference(avatar_component_clause,[],[f282]) ).

thf(f289,definition,
    ( spl0_24
  <=> ( $true
      = ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

thf(f290,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | spl0_24 ),
    inference(avatar_component_clause,[],[f289]) ).

thf(f298,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(constrained_superposition,[],[f283,f35]) ).

thf(f301,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_22 ),
    inference(trivial_inequality_removal,[],[f298]) ).

thf(f303,plain,
    ( spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f301,f282,f236]) ).

thf(f304,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f244,f237]) ).

thf(f308,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f304]) ).

thf(f310,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f308,f85]) ).

thf(f311,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f310]) ).

thf(f312,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_24 ),
    inference(constrained_superposition,[],[f290,f61]) ).

thf(f314,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_24 ),
    inference(constrained_superposition,[],[f290,f30]) ).

thf(f315,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_24 ),
    inference(trivial_inequality_removal,[],[f314]) ).

thf(f316,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_24 ),
    inference(trivial_inequality_removal,[],[f312]) ).

thf(f319,definition,
    ( spl0_27
  <=> ( ( s @ z )
      = ( s @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

thf(f320,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f319]) ).

thf(f321,plain,
    ( spl0_13
    | spl0_27
    | spl0_24 ),
    inference(avatar_split_clause,[],[f315,f289,f319,f212]) ).

thf(f322,plain,
    ( spl0_13
    | spl0_24 ),
    inference(avatar_split_clause,[],[f316,f289,f212]) ).

thf(f325,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f121,f116,f84]) ).

thf(f351,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f82,f36]) ).

thf(f353,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f351]) ).

thf(f405,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f162,f180]) ).

thf(f409,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
    inference(constrained_superposition,[],[f48,f180]) ).

thf(f411,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f180]) ).

thf(f412,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f409]) ).

thf(f415,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f405]) ).

thf(f419,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f411]) ).

thf(f421,definition,
    ( spl0_28
  <=> ( ( b @ ( s @ ( s @ z ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

thf(f422,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_28 ),
    inference(avatar_component_clause,[],[f421]) ).

thf(f424,definition,
    ( spl0_29
  <=> ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

thf(f425,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f424]) ).

thf(f427,definition,
    ( spl0_30
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

thf(f428,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f427]) ).

thf(f429,plain,
    ( ~ spl0_28
    | spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f412,f427,f424,f421]) ).

thf(f431,definition,
    ( spl0_31
  <=> ! [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_31])],[avatar_definition]) ).

thf(f432,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f431]) ).

thf(f434,definition,
    ( spl0_32
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

thf(f435,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | spl0_32 ),
    inference(avatar_component_clause,[],[f434]) ).

thf(f437,definition,
    ( spl0_33
  <=> ! [X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X1 @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

thf(f438,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( $true
         != ( b @ X1 @ ( s @ z ) ) ) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f437]) ).

thf(f439,plain,
    ( spl0_31
    | ~ spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f415,f437,f434,f431]) ).

thf(f454,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_28 ),
    inference(constrained_superposition,[],[f422,f36]) ).

thf(f456,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
      = $true )
    | spl0_28 ),
    inference(trivial_inequality_removal,[],[f454]) ).

thf(f458,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(constrained_superposition,[],[f435,f60]) ).

thf(f460,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | spl0_32 ),
    inference(constrained_superposition,[],[f435,f30]) ).

thf(f461,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | spl0_32 ),
    inference(trivial_inequality_removal,[],[f458]) ).

thf(f462,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_32 ),
    inference(trivial_inequality_removal,[],[f460]) ).

thf(f464,plain,
    ( spl0_18
    | spl0_32 ),
    inference(avatar_split_clause,[],[f461,f434,f229]) ).

thf(f465,plain,
    ( spl0_18
    | spl0_27
    | spl0_32 ),
    inference(avatar_split_clause,[],[f462,f434,f319,f229]) ).

thf(f479,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
    inference(constrained_superposition,[],[f419,f180]) ).

thf(f482,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f479]) ).

thf(f483,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( b @ X2 @ X1 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f482]) ).

thf(f489,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ z @ ( s @ ( s @ z ) ) )
       != $true )
      | ( $true != $true ) ),
    inference(constrained_superposition,[],[f483,f35]) ).

thf(f493,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) )
      | ( $true
       != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
    inference(constrained_superposition,[],[f483,f61]) ).

thf(f499,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( ( b @ z @ ( s @ ( s @ z ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f489]) ).

thf(f500,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
      | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
      | ( $true
       != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
      | ( $true
       != ( b @ X1 @ ( s @ z ) ) ) ),
    inference(trivial_inequality_removal,[],[f493]) ).

thf(f503,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,[],[f181,f28]) ).

thf(f504,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,[],[f181,f28]) ).

thf(f536,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f353,f61]) ).

thf(f542,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f536]) ).

thf(f546,definition,
    ( spl0_38
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

thf(f547,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true ) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f546]) ).

thf(f548,plain,
    ( ~ spl0_9
    | spl0_38
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f542,f81,f546,f137]) ).

thf(f549,plain,
    ( spl0_30
    | spl0_29
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f499,f282,f424,f427]) ).

thf(f550,plain,
    ( spl0_33
    | ~ spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f500,f431,f289,f437]) ).

thf(f554,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f31,f85]) ).

thf(f555,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f554]) ).

thf(f572,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f555,f230]) ).

thf(f575,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f572]) ).

thf(f580,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f575,f220]) ).

thf(f581,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f580]) ).

thf(f621,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f31,f213]) ).

thf(f624,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f621]) ).

thf(f636,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_1 ),
    inference(constrained_superposition,[],[f82,f36]) ).

thf(f638,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
          = $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f636]) ).

thf(f1065,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f31,f425]) ).

thf(f1081,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f1065]) ).

thf(f1103,definition,
    ( spl0_39
  <=> ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

thf(f1104,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f1103]) ).

thf(f1114,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(constrained_superposition,[],[f1081,f135]) ).

thf(f1118,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1114]) ).

thf(f1119,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_8
    | ~ spl0_29 ),
    inference(trivial_inequality_removal,[],[f1118]) ).

thf(f1120,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
        = $true )
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(forward_subsumption_resolution,[],[f1119,f213]) ).

thf(f1121,plain,
    ( spl0_39
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f1120,f424,f212,f134,f1103]) ).

thf(f1610,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true ) )
    | ~ spl0_31 ),
    inference(constrained_superposition,[],[f31,f432]) ).

thf(f1626,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f1610]) ).

thf(f1850,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_38 ),
    inference(constrained_superposition,[],[f31,f547]) ).

thf(f1851,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_38 ),
    inference(trivial_inequality_removal,[],[f1850]) ).

thf(f1874,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ X0 ) ) @ z )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f1851,f31]) ).

thf(f1953,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_27 ),
    inference(constrained_superposition,[],[f60,f320]) ).

thf(f2110,definition,
    ( spl0_41
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

thf(f2111,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f2110]) ).

thf(f2113,definition,
    ( spl0_42
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

thf(f2114,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_42 ),
    inference(avatar_component_clause,[],[f2113]) ).

thf(f2118,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1953,f26]) ).

thf(f2153,plain,
    ( $false
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f2118,f27]) ).

thf(f2154,plain,
    ~ spl0_27,
    inference(avatar_contradiction_clause,[],[f2153]) ).

thf(f2194,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
      | ( $true
       != ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
       != $true ) ),
    inference(constrained_superposition,[],[f55,f503]) ).

thf(f2195,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
      | ( $true != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f48,f503]) ).

thf(f2197,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
      | ( ( b @ X1 @ X2 )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f503]) ).

thf(f2201,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f2197]) ).

thf(f2204,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
      | ( $true
       != ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
        = $true )
      | ( ( b @ X2 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f2194]) ).

thf(f2208,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
        = $true )
      | ( $true
       != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
    inference(trivial_inequality_removal,[],[f2195]) ).

thf(f2210,definition,
    ( spl0_46
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

thf(f2211,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f2210]) ).

thf(f2217,definition,
    ( spl0_48
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

thf(f2218,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f2217]) ).

thf(f2227,definition,
    ( spl0_51
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

thf(f2228,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f2227]) ).

thf(f2231,definition,
    ( spl0_52
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X2 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

thf(f2232,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X2 @ z )
         != $true ) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f2231]) ).

thf(f2233,plain,
    ( spl0_52
    | spl0_48 ),
    inference(avatar_split_clause,[],[f2204,f2217,f2231]) ).

thf(f2235,definition,
    ( spl0_53
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

thf(f2236,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f2235]) ).

thf(f2246,definition,
    ( spl0_56
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

thf(f2247,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f2246]) ).

thf(f2249,definition,
    ( spl0_57
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

thf(f2250,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f2249]) ).

thf(f2251,plain,
    ( spl0_56
    | spl0_57 ),
    inference(avatar_split_clause,[],[f2208,f2249,f2246]) ).

thf(f2252,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f1626,f2250]) ).

thf(f2256,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f2252]) ).

thf(f2258,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f2256,f237]) ).

thf(f2259,plain,
    ( spl0_53
    | ~ spl0_20
    | ~ spl0_31
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2258,f2249,f431,f236,f2235]) ).

thf(f2268,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( $true != $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ z )
       != $true ) ),
    inference(constrained_superposition,[],[f48,f504]) ).

thf(f2270,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X2 @ X3 )
       != $true ) ),
    inference(constrained_superposition,[],[f32,f504]) ).

thf(f2274,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ( ( b @ X3 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X2 @ X3 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f2270]) ).

thf(f2275,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f2268]) ).

thf(f2297,definition,
    ( spl0_62
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

thf(f2298,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f2297]) ).

thf(f2300,definition,
    ( spl0_63
  <=> ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

thf(f2301,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f2300]) ).

thf(f2302,plain,
    ( ~ spl0_42
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f2275,f2300,f2297,f2113]) ).

thf(f2321,definition,
    ( spl0_69
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

thf(f2322,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_69 ),
    inference(avatar_component_clause,[],[f2321]) ).

thf(f2330,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_42 ),
    inference(constrained_superposition,[],[f2114,f36]) ).

thf(f2332,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | spl0_42 ),
    inference(trivial_inequality_removal,[],[f2330]) ).

thf(f2336,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_69 ),
    inference(constrained_superposition,[],[f2322,f30]) ).

thf(f2338,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | spl0_69 ),
    inference(trivial_inequality_removal,[],[f2336]) ).

thf(f2342,definition,
    ( spl0_71
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

thf(f2343,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f2342]) ).

thf(f2344,plain,
    ( spl0_71
    | spl0_41
    | spl0_69 ),
    inference(avatar_split_clause,[],[f2338,f2321,f2110,f2342]) ).

thf(f2355,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f240,f2211]) ).

thf(f2368,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f2355]) ).

thf(f2381,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(forward_subsumption_resolution,[],[f2368,f2218]) ).

thf(f2382,plain,
    ( ~ spl0_15
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(avatar_contradiction_clause,[],[f2381]) ).

thf(f2383,plain,
    ( spl0_48
    | spl0_42 ),
    inference(avatar_split_clause,[],[f2332,f2113,f2217]) ).

thf(f2388,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_41 ),
    inference(constrained_superposition,[],[f31,f2111]) ).

thf(f2391,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f2388]) ).

thf(f2405,definition,
    ( spl0_72
  <=> ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

thf(f2406,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f2405]) ).

thf(f2417,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f2298,f61]) ).

thf(f2425,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f2417]) ).

thf(f2427,plain,
    ( spl0_53
    | ~ spl0_9
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2425,f2297,f137,f2235]) ).

thf(f2472,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true ) )
    | ~ spl0_52 ),
    inference(constrained_superposition,[],[f2232,f503]) ).

thf(f2486,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f2472]) ).

thf(f2487,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_52 ),
    inference(trivial_inequality_removal,[],[f2486]) ).

thf(f2495,definition,
    ( spl0_76
  <=> ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

thf(f2496,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f2495]) ).

thf(f2497,plain,
    ( ~ spl0_42
    | spl0_76
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f2487,f2231,f2495,f2113]) ).

thf(f2515,definition,
    ( spl0_77
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

thf(f2516,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_77 ),
    inference(avatar_component_clause,[],[f2515]) ).

thf(f2522,definition,
    ( spl0_79
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

thf(f2523,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_79 ),
    inference(avatar_component_clause,[],[f2522]) ).

thf(f2529,definition,
    ( spl0_81
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

thf(f2530,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_81 ),
    inference(avatar_component_clause,[],[f2529]) ).

thf(f2532,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_77 ),
    inference(constrained_superposition,[],[f2516,f35]) ).

thf(f2535,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_77 ),
    inference(trivial_inequality_removal,[],[f2532]) ).

thf(f2537,plain,
    ( spl0_57
    | spl0_77 ),
    inference(avatar_split_clause,[],[f2535,f2515,f2249]) ).

thf(f2541,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_81 ),
    inference(constrained_superposition,[],[f2530,f30]) ).

thf(f2545,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_81 ),
    inference(trivial_inequality_removal,[],[f2541]) ).

thf(f2549,plain,
    ( spl0_72
    | spl0_51
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2545,f2529,f2227,f2405]) ).

thf(f2578,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( $true != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true ) ),
    inference(constrained_superposition,[],[f2274,f504]) ).

thf(f2581,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f2578]) ).

thf(f2582,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
       != $true )
      | ( ( b @ X1 @ X2 )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f2581]) ).

thf(f2591,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ X1 @ z )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true ) ),
    inference(constrained_superposition,[],[f2582,f35]) ).

thf(f2599,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( b @ X1 @ z )
       != $true )
      | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
      | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
       != $true )
      | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f2591]) ).

thf(f2607,plain,
    ( ~ spl0_77
    | spl0_63
    | spl0_62 ),
    inference(avatar_split_clause,[],[f2599,f2297,f2300,f2515]) ).

thf(f2633,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_8
    | ~ spl0_63 ),
    inference(constrained_superposition,[],[f175,f2301]) ).

thf(f2669,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_8
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f2633]) ).

thf(f2670,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
          = $true ) )
    | ~ spl0_8
    | ~ spl0_63 ),
    inference(trivial_inequality_removal,[],[f2669]) ).

thf(f2690,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
    | ~ spl0_8
    | ~ spl0_41
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f2670,f2111]) ).

thf(f2696,definition,
    ( spl0_83
  <=> ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

thf(f2697,plain,
    ( ! [X0: $i] :
        ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
        = $true )
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f2696]) ).

thf(f2706,plain,
    ( spl0_83
    | ~ spl0_8
    | ~ spl0_41
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2690,f2300,f2110,f134,f2696]) ).

thf(f2791,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | spl0_48 ),
    inference(avatar_component_clause,[],[f2217]) ).

thf(f3187,plain,
    ( ( ( s @ z )
     != ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_71 ),
    inference(avatar_component_clause,[],[f2342]) ).

thf(f3190,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
     != ( s @ ( s @ z ) ) )
    | spl0_72 ),
    inference(avatar_component_clause,[],[f2405]) ).

thf(f3192,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_71 ),
    inference(extensionality_resolution,[],[f181,f3187]) ).

thf(f3193,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_71 ),
    inference(extensionality_resolution,[],[f181,f3187]) ).

thf(f3202,definition,
    ( spl0_92
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

thf(f3203,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f3202]) ).

thf(f3205,definition,
    ( spl0_93
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

thf(f3206,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f3205]) ).

thf(f3207,plain,
    ( spl0_92
    | spl0_93
    | spl0_71 ),
    inference(avatar_split_clause,[],[f3193,f2342,f3205,f3202]) ).

thf(f3209,definition,
    ( spl0_94
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

thf(f3210,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f3209]) ).

thf(f3212,definition,
    ( spl0_95
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

thf(f3213,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f3212]) ).

thf(f3214,plain,
    ( spl0_94
    | spl0_95
    | spl0_71 ),
    inference(avatar_split_clause,[],[f3192,f2342,f3212,f3209]) ).

thf(f3215,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_72 ),
    inference(extensionality_resolution,[],[f181,f3190]) ).

thf(f3216,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_72 ),
    inference(extensionality_resolution,[],[f181,f3190]) ).

thf(f3217,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_72 ),
    inference(extensionality_resolution,[],[f62,f3190]) ).

thf(f3218,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_72 ),
    inference(extensionality_resolution,[],[f62,f3190]) ).

thf(f3225,definition,
    ( spl0_96
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

thf(f3226,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f3225]) ).

thf(f3228,definition,
    ( spl0_97
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

thf(f3229,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f3228]) ).

thf(f3230,plain,
    ( spl0_96
    | spl0_97
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3218,f2405,f3228,f3225]) ).

thf(f3232,definition,
    ( spl0_98
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

thf(f3233,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f3232]) ).

thf(f3235,definition,
    ( spl0_99
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

thf(f3236,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f3235]) ).

thf(f3237,plain,
    ( spl0_98
    | spl0_99
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3217,f2405,f3235,f3232]) ).

thf(f3239,definition,
    ( spl0_100
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

thf(f3240,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f3239]) ).

thf(f3242,definition,
    ( spl0_101
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

thf(f3243,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f3242]) ).

thf(f3244,plain,
    ( spl0_100
    | spl0_101
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3215,f2405,f3242,f3239]) ).

thf(f3246,definition,
    ( spl0_102
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

thf(f3247,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f3246]) ).

thf(f3249,definition,
    ( spl0_103
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

thf(f3250,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f3249]) ).

thf(f3251,plain,
    ( spl0_102
    | spl0_103
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3216,f2405,f3249,f3246]) ).

thf(f3262,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f638,f3229]) ).

thf(f3273,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_1
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f3262]) ).

thf(f3288,definition,
    ( spl0_104
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

thf(f3289,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f3288]) ).

thf(f3291,definition,
    ( spl0_105
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

thf(f3292,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_105 ),
    inference(avatar_component_clause,[],[f3291]) ).

thf(f3294,definition,
    ( spl0_106
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

thf(f3295,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | spl0_106 ),
    inference(avatar_component_clause,[],[f3294]) ).

thf(f3298,definition,
    ( spl0_107
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

thf(f3299,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | spl0_107 ),
    inference(avatar_component_clause,[],[f3298]) ).

thf(f3301,definition,
    ( spl0_108
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

thf(f3302,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f3301]) ).

thf(f3304,definition,
    ( spl0_109
  <=> ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

thf(f3305,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f3304]) ).

thf(f3306,plain,
    ( ~ spl0_107
    | spl0_108
    | spl0_109
    | ~ spl0_1
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f3273,f3228,f81,f3304,f3301,f3298]) ).

thf(f3308,definition,
    ( spl0_110
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

thf(f3309,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f3308]) ).

thf(f3311,definition,
    ( spl0_111
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

thf(f3312,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f3311]) ).

thf(f3315,definition,
    ( spl0_112
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

thf(f3316,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f3315]) ).

thf(f3320,definition,
    ( spl0_113
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

thf(f3321,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f3320]) ).

thf(f3323,definition,
    ( spl0_114
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

thf(f3324,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_114 ),
    inference(avatar_component_clause,[],[f3323]) ).

thf(f3326,definition,
    ( spl0_115
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

thf(f3327,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f3326]) ).

thf(f3329,definition,
    ( spl0_116
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

thf(f3330,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f3329]) ).

thf(f3333,definition,
    ( spl0_117
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

thf(f3334,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f3333]) ).

thf(f3336,definition,
    ( spl0_118
  <=> ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

thf(f3337,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f3336]) ).

thf(f3340,definition,
    ( spl0_119
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

thf(f3341,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_119 ),
    inference(avatar_component_clause,[],[f3340]) ).

thf(f3343,definition,
    ( spl0_120
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

thf(f3344,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f3343]) ).

thf(f3347,definition,
    ( spl0_121
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

thf(f3348,plain,
    ( ! [X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f3347]) ).

thf(f3365,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_72 ),
    inference(constrained_superposition,[],[f180,f2406]) ).

thf(f3547,definition,
    ( spl0_122
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

thf(f3548,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f3547]) ).

thf(f3551,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f3365,f26]) ).

thf(f3553,definition,
    ( spl0_123
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

thf(f3554,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f3553]) ).

thf(f3564,definition,
    ( spl0_124
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

thf(f3565,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f3564]) ).

thf(f3577,definition,
    ( spl0_126
  <=> ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

thf(f3578,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f3577]) ).

thf(f3584,plain,
    ( $false
    | ~ spl0_72 ),
    inference(forward_subsumption_resolution,[],[f3551,f27]) ).

thf(f3585,plain,
    ~ spl0_72,
    inference(avatar_contradiction_clause,[],[f3584]) ).

thf(f3587,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_72 ),
    inference(extensionality_resolution,[],[f181,f3190]) ).

thf(f3588,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_72 ),
    inference(extensionality_resolution,[],[f181,f3190]) ).

thf(f3589,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_72 ),
    inference(extensionality_resolution,[],[f62,f3190]) ).

thf(f3590,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_72 ),
    inference(extensionality_resolution,[],[f62,f3190]) ).

thf(f3596,plain,
    ( spl0_101
    | spl0_100
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3587,f2405,f3239,f3242]) ).

thf(f3597,plain,
    ( spl0_99
    | spl0_98
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3589,f2405,f3232,f3235]) ).

thf(f3598,plain,
    ( spl0_103
    | spl0_102
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3588,f2405,f3246,f3249]) ).

thf(f3599,plain,
    ( spl0_96
    | spl0_97
    | spl0_72 ),
    inference(avatar_split_clause,[],[f3590,f2405,f3228,f3225]) ).

thf(f3613,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(constrained_superposition,[],[f1874,f3226]) ).

thf(f3618,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_96 ),
    inference(constrained_superposition,[],[f31,f3226]) ).

thf(f3629,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_96 ),
    inference(trivial_inequality_removal,[],[f3618]) ).

thf(f3630,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(trivial_inequality_removal,[],[f3613]) ).

thf(f3639,definition,
    ( spl0_127
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

thf(f3640,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_127 ),
    inference(avatar_component_clause,[],[f3639]) ).

thf(f3641,plain,
    ( ~ spl0_127
    | spl0_109
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3630,f3225,f546,f3304,f3639]) ).

thf(f3660,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_76
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f2496,f3233]) ).

thf(f3661,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f2247,f3233]) ).

thf(f3682,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f3661]) ).

thf(f3683,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_76
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f3660]) ).

thf(f3691,definition,
    ( spl0_128
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

thf(f3692,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f3691]) ).

thf(f3694,definition,
    ( spl0_129
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

thf(f3695,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_129 ),
    inference(avatar_component_clause,[],[f3694]) ).

thf(f3699,definition,
    ( spl0_130
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

thf(f3700,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f3699]) ).

thf(f3702,definition,
    ( spl0_131
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

thf(f3703,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f3702]) ).

thf(f3706,definition,
    ( spl0_132
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

thf(f3707,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f3706]) ).

thf(f3709,definition,
    ( spl0_133
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

thf(f3710,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f3709]) ).

thf(f3712,definition,
    ( spl0_134
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

thf(f3713,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_134 ),
    inference(avatar_component_clause,[],[f3712]) ).

thf(f3715,plain,
    ( spl0_131
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_56
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f3682,f3232,f2246,f3298,f3294,f3702]) ).

thf(f3716,plain,
    ( ~ spl0_134
    | spl0_131
    | ~ spl0_107
    | ~ spl0_76
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f3683,f3232,f2495,f3298,f3702,f3712]) ).

thf(f3721,definition,
    ( spl0_135
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

thf(f3722,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_135 ),
    inference(avatar_component_clause,[],[f3721]) ).

thf(f3724,definition,
    ( spl0_136
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

thf(f3725,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f3724]) ).

thf(f3731,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | spl0_106 ),
    inference(constrained_superposition,[],[f3295,f36]) ).

thf(f3733,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | spl0_106 ),
    inference(trivial_inequality_removal,[],[f3731]) ).

thf(f3735,plain,
    ( spl0_109
    | spl0_106 ),
    inference(avatar_split_clause,[],[f3733,f3294,f3304]) ).

thf(f3741,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_135 ),
    inference(constrained_superposition,[],[f3722,f60]) ).

thf(f3743,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_135 ),
    inference(constrained_superposition,[],[f3722,f30]) ).

thf(f3744,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_135 ),
    inference(trivial_inequality_removal,[],[f3741]) ).

thf(f3745,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_135 ),
    inference(trivial_inequality_removal,[],[f3743]) ).

thf(f3747,plain,
    ( spl0_108
    | spl0_135 ),
    inference(avatar_split_clause,[],[f3744,f3721,f3301]) ).

thf(f3749,definition,
    ( spl0_137
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

thf(f3750,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f3749]) ).

thf(f3751,plain,
    ( spl0_108
    | spl0_137
    | spl0_135 ),
    inference(avatar_split_clause,[],[f3745,f3721,f3749,f3301]) ).

thf(f3765,definition,
    ( spl0_138
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

thf(f3766,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f3765]) ).

thf(f3768,definition,
    ( spl0_139
  <=> ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

thf(f3769,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f3768]) ).

thf(f3807,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_138 ),
    inference(constrained_superposition,[],[f503,f3766]) ).

thf(f3993,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f3807,f26]) ).

thf(f4015,definition,
    ( spl0_141
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

thf(f4016,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f4015]) ).

thf(f4019,plain,
    ( $false
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f3993,f27]) ).

thf(f4020,plain,
    ~ spl0_138,
    inference(avatar_contradiction_clause,[],[f4019]) ).

thf(f4029,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_139 ),
    inference(constrained_superposition,[],[f503,f3769]) ).

thf(f4232,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f4029,f27]) ).

thf(f4265,plain,
    ( $false
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f4232,f26]) ).

thf(f4266,plain,
    ~ spl0_139,
    inference(avatar_contradiction_clause,[],[f4265]) ).

thf(f4270,definition,
    ( spl0_146
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

thf(f4271,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f4270]) ).

thf(f4305,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_129 ),
    inference(constrained_superposition,[],[f3695,f179]) ).

thf(f4308,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_129 ),
    inference(constrained_superposition,[],[f3695,f30]) ).

thf(f4309,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_129 ),
    inference(trivial_inequality_removal,[],[f4305]) ).

thf(f4311,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_129 ),
    inference(trivial_inequality_removal,[],[f4308]) ).

thf(f4313,plain,
    ( spl0_115
    | spl0_129 ),
    inference(avatar_split_clause,[],[f4309,f3694,f3326]) ).

thf(f4315,plain,
    ( spl0_138
    | spl0_115
    | spl0_129 ),
    inference(avatar_split_clause,[],[f4311,f3694,f3326,f3765]) ).

thf(f4326,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_15
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f240,f3327]) ).

thf(f4327,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f624,f3327]) ).

thf(f4339,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_15
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f4326]) ).

thf(f4341,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f4327]) ).

thf(f4351,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f4339,f3305]) ).

thf(f4352,plain,
    ( ~ spl0_15
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f4351]) ).

thf(f4353,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f4341,f3302]) ).

thf(f4354,plain,
    ( ~ spl0_13
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f4353]) ).

thf(f4374,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_134 ),
    inference(constrained_superposition,[],[f3713,f503]) ).

thf(f4376,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_134 ),
    inference(constrained_superposition,[],[f3713,f62]) ).

thf(f4379,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_134 ),
    inference(trivial_inequality_removal,[],[f4374]) ).

thf(f4381,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_134 ),
    inference(trivial_inequality_removal,[],[f4376]) ).

thf(f4384,plain,
    ( spl0_104
    | spl0_134 ),
    inference(avatar_split_clause,[],[f4379,f3712,f3288]) ).

thf(f4386,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_71
    | spl0_134 ),
    inference(forward_subsumption_resolution,[],[f4381,f3187]) ).

thf(f4389,plain,
    ( spl0_104
    | spl0_71
    | spl0_134 ),
    inference(avatar_split_clause,[],[f4386,f3712,f2342,f3288]) ).

thf(f4399,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f2391,f3289]) ).

thf(f4400,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_38
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f1874,f3289]) ).

thf(f4401,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f175,f3289]) ).

thf(f4412,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f4399]) ).

thf(f4415,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f4400]) ).

thf(f4418,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f4401]) ).

thf(f4483,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_76
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f2496,f3203]) ).

thf(f4484,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_56
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f2247,f3203]) ).

thf(f4496,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f4484]) ).

thf(f4506,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_76
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f4483]) ).

thf(f4514,definition,
    ( spl0_147
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

thf(f4515,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | spl0_147 ),
    inference(avatar_component_clause,[],[f4514]) ).

thf(f4516,plain,
    ( spl0_131
    | ~ spl0_147
    | ~ spl0_107
    | ~ spl0_56
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f4496,f3202,f2246,f3298,f4514,f3702]) ).

thf(f4518,definition,
    ( spl0_148
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

thf(f4519,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f4518]) ).

thf(f4522,definition,
    ( spl0_149
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

thf(f4523,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f4522]) ).

thf(f4525,definition,
    ( spl0_150
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

thf(f4526,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_150 ),
    inference(avatar_component_clause,[],[f4525]) ).

thf(f4528,definition,
    ( spl0_151
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

thf(f4529,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f4528]) ).

thf(f4533,definition,
    ( spl0_152
  <=> ( $true
      = ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

thf(f4534,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_152 ),
    inference(avatar_component_clause,[],[f4533]) ).

thf(f4536,definition,
    ( spl0_153
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

thf(f4537,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f4536]) ).

thf(f4540,plain,
    ( ~ spl0_107
    | spl0_131
    | ~ spl0_152
    | ~ spl0_76
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f4506,f3202,f2495,f4533,f3702,f3298]) ).

thf(f4542,definition,
    ( spl0_154
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

thf(f4543,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f4542]) ).

thf(f4547,definition,
    ( spl0_155
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

thf(f4548,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f4547]) ).

thf(f4550,definition,
    ( spl0_156
  <=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

thf(f4551,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_156 ),
    inference(avatar_component_clause,[],[f4550]) ).

thf(f4554,definition,
    ( spl0_157
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

thf(f4555,plain,
    ( ! [X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f4554]) ).

thf(f4619,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_71 ),
    inference(constrained_superposition,[],[f179,f2343]) ).

thf(f4766,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f4619,f26]) ).

thf(f4786,definition,
    ( spl0_158
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

thf(f4787,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f4786]) ).

thf(f4809,plain,
    ( $false
    | ~ spl0_71 ),
    inference(forward_subsumption_resolution,[],[f4766,f27]) ).

thf(f4810,plain,
    ~ spl0_71,
    inference(avatar_contradiction_clause,[],[f4809]) ).

thf(f4823,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | spl0_71 ),
    inference(extensionality_resolution,[],[f181,f3187]) ).

thf(f4824,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_71 ),
    inference(extensionality_resolution,[],[f181,f3187]) ).

thf(f4831,plain,
    ( spl0_92
    | spl0_93
    | spl0_71 ),
    inference(avatar_split_clause,[],[f4824,f2342,f3205,f3202]) ).

thf(f4832,plain,
    ( spl0_95
    | spl0_94
    | spl0_71 ),
    inference(avatar_split_clause,[],[f4823,f2342,f3209,f3212]) ).

thf(f4833,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_147 ),
    inference(constrained_superposition,[],[f4515,f36]) ).

thf(f4835,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_147 ),
    inference(trivial_inequality_removal,[],[f4833]) ).

thf(f4849,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f2391,f3703]) ).

thf(f4860,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f4849]) ).

thf(f4875,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | spl0_156 ),
    inference(constrained_superposition,[],[f4551,f30]) ).

thf(f4876,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_156 ),
    inference(trivial_inequality_removal,[],[f4875]) ).

thf(f4880,definition,
    ( spl0_159
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

thf(f4881,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f4880]) ).

thf(f4883,definition,
    ( spl0_160
  <=> ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

thf(f4884,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f4883]) ).

thf(f4885,plain,
    ( spl0_159
    | spl0_160
    | spl0_156 ),
    inference(avatar_split_clause,[],[f4876,f4550,f4883,f4880]) ).

thf(f4890,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_150 ),
    inference(constrained_superposition,[],[f4526,f37]) ).

thf(f4892,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_150 ),
    inference(trivial_inequality_removal,[],[f4890]) ).

thf(f4897,definition,
    ( spl0_161
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

thf(f4898,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f4897]) ).

thf(f4899,plain,
    ( spl0_161
    | spl0_137
    | spl0_150 ),
    inference(avatar_split_clause,[],[f4892,f4525,f3749,f4897]) ).

thf(f4901,definition,
    ( spl0_162
  <=> ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

thf(f4902,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f4901]) ).

thf(f4915,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f240,f4898]) ).

thf(f4939,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f4915]) ).

thf(f4940,plain,
    ( $false
    | ~ spl0_15
    | spl0_147
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f4939,f4835]) ).

thf(f4941,plain,
    ( ~ spl0_15
    | spl0_147
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f4940]) ).

thf(f4964,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_152 ),
    inference(constrained_superposition,[],[f4534,f37]) ).

thf(f4966,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_152 ),
    inference(trivial_inequality_removal,[],[f4964]) ).

thf(f4972,definition,
    ( spl0_163
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

thf(f4973,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f4972]) ).

thf(f4974,plain,
    ( spl0_138
    | spl0_163
    | spl0_152 ),
    inference(avatar_split_clause,[],[f4966,f4533,f4972,f3765]) ).

thf(f4977,definition,
    ( spl0_164
  <=> ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

thf(f4978,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f4977]) ).

thf(f5020,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2496,f3210]) ).

thf(f5021,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2247,f3210]) ).

thf(f5025,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_1
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f638,f3210]) ).

thf(f5038,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f5021]) ).

thf(f5040,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f5020]) ).

thf(f5041,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_1
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f5025]) ).

thf(f5051,definition,
    ( spl0_165
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

thf(f5052,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f5051]) ).

thf(f5055,plain,
    ( ~ spl0_107
    | spl0_163
    | ~ spl0_147
    | ~ spl0_56
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f5038,f3209,f2246,f4514,f4972,f3298]) ).

thf(f5056,plain,
    ( ~ spl0_105
    | spl0_163
    | ~ spl0_147
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f5040,f3209,f2495,f4514,f4972,f3291]) ).

thf(f5059,definition,
    ( spl0_166
  <=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

thf(f5060,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f5059]) ).

thf(f5063,definition,
    ( spl0_167
  <=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

thf(f5064,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f5063]) ).

thf(f5081,definition,
    ( spl0_168
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

thf(f5082,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f5081]) ).

thf(f5086,definition,
    ( spl0_169
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

thf(f5087,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f5086]) ).

thf(f5089,plain,
    ( ~ spl0_107
    | spl0_168
    | spl0_159
    | ~ spl0_1
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f5041,f3209,f81,f4880,f5081,f3298]) ).

thf(f5092,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_119 ),
    inference(constrained_superposition,[],[f3341,f60]) ).

thf(f5095,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_119 ),
    inference(trivial_inequality_removal,[],[f5092]) ).

thf(f5098,plain,
    ( $false
    | spl0_119
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f5095,f3640]) ).

thf(f5099,plain,
    ( spl0_119
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f5098]) ).

thf(f5105,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | spl0_114 ),
    inference(constrained_superposition,[],[f3324,f179]) ).

thf(f5107,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | spl0_114 ),
    inference(constrained_superposition,[],[f3324,f37]) ).

thf(f5108,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_114 ),
    inference(constrained_superposition,[],[f3324,f30]) ).

thf(f5109,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_114 ),
    inference(trivial_inequality_removal,[],[f5105]) ).

thf(f5110,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_114 ),
    inference(trivial_inequality_removal,[],[f5108]) ).

thf(f5111,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_114 ),
    inference(trivial_inequality_removal,[],[f5107]) ).

thf(f5113,plain,
    ( spl0_123
    | spl0_114 ),
    inference(avatar_split_clause,[],[f5109,f3323,f3553]) ).

thf(f5114,plain,
    ( spl0_146
    | spl0_123
    | spl0_114 ),
    inference(avatar_split_clause,[],[f5110,f3323,f3553,f4270]) ).

thf(f5115,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_71
    | spl0_114 ),
    inference(forward_subsumption_resolution,[],[f5111,f3187]) ).

thf(f5117,plain,
    ( spl0_123
    | spl0_71
    | spl0_114 ),
    inference(avatar_split_clause,[],[f5115,f3323,f2342,f3553]) ).

thf(f5134,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f5138,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f5134]) ).

thf(f5154,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_147 ),
    inference(constrained_superposition,[],[f4515,f36]) ).

thf(f5156,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | spl0_147 ),
    inference(trivial_inequality_removal,[],[f5154]) ).

thf(f5158,plain,
    ( spl0_168
    | spl0_147 ),
    inference(avatar_split_clause,[],[f5156,f4514,f5081]) ).

thf(f5162,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_105 ),
    inference(constrained_superposition,[],[f3292,f503]) ).

thf(f5164,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_105 ),
    inference(constrained_superposition,[],[f3292,f62]) ).

thf(f5169,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_105 ),
    inference(trivial_inequality_removal,[],[f5164]) ).

thf(f5171,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_105 ),
    inference(trivial_inequality_removal,[],[f5162]) ).

thf(f5177,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_158 ),
    inference(constrained_superposition,[],[f4787,f504]) ).

thf(f5183,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_158 ),
    inference(trivial_inequality_removal,[],[f5177]) ).

thf(f5188,plain,
    ( spl0_132
    | ~ spl0_69
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f5183,f4786,f2321,f3706]) ).

thf(f5195,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_94
    | ~ spl0_120 ),
    inference(constrained_superposition,[],[f3344,f3210]) ).

thf(f5211,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_120 ),
    inference(trivial_inequality_removal,[],[f5195]) ).

thf(f5214,plain,
    ( ~ spl0_156
    | ~ spl0_94
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f5211,f3343,f3209,f4550]) ).

thf(f5247,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f2391,f4973]) ).

thf(f5248,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ~ spl0_38
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f1874,f4973]) ).

thf(f5259,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f5247]) ).

thf(f5264,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f5248]) ).

thf(f5277,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | spl0_48
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f5264,f2791]) ).

thf(f5278,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_159 ),
    inference(avatar_component_clause,[],[f4880]) ).

thf(f5280,plain,
    ( ~ spl0_159
    | ~ spl0_41
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f5259,f4972,f2110,f4880]) ).

thf(f5281,plain,
    ( ~ spl0_159
    | ~ spl0_38
    | spl0_48
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f5277,f4972,f2217,f546,f4880]) ).

thf(f5282,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_38
    | spl0_159 ),
    inference(constrained_superposition,[],[f5278,f547]) ).

thf(f5291,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_38
    | spl0_159 ),
    inference(trivial_inequality_removal,[],[f5282]) ).

thf(f5295,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f5138,f3236]) ).

thf(f5302,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f5295]) ).

thf(f5307,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_115
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f5302,f3327]) ).

thf(f5308,plain,
    ( ~ spl0_99
    | ~ spl0_115
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f5307]) ).

thf(f5314,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_158 ),
    inference(constrained_superposition,[],[f4787,f3203]) ).

thf(f5338,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_158 ),
    inference(trivial_inequality_removal,[],[f5314]) ).

thf(f5350,plain,
    ( ~ spl0_156
    | ~ spl0_92
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f5338,f4786,f3202,f4550]) ).

thf(f5386,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_155 ),
    inference(constrained_superposition,[],[f4548,f3203]) ).

thf(f5396,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_155 ),
    inference(trivial_inequality_removal,[],[f5386]) ).

thf(f5404,plain,
    ( ~ spl0_119
    | ~ spl0_92
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f5396,f4547,f3202,f3340]) ).

thf(f5407,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | spl0_108 ),
    inference(avatar_component_clause,[],[f3301]) ).

thf(f5408,plain,
    ( spl0_57
    | ~ spl0_108
    | ~ spl0_8
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f4418,f3288,f134,f3301,f2249]) ).

thf(f5409,plain,
    ( ~ spl0_127
    | ~ spl0_41
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f4860,f3702,f2110,f3639]) ).

thf(f5410,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | spl0_48
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[],[f4415,f2791]) ).

thf(f5411,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f3639]) ).

thf(f5415,definition,
    ( spl0_170
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

thf(f5416,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f5415]) ).

thf(f5418,definition,
    ( spl0_171
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

thf(f5419,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f5418]) ).

thf(f5423,plain,
    ( ~ spl0_108
    | ~ spl0_38
    | spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f5410,f3288,f2217,f546,f3301]) ).

thf(f5430,plain,
    ( spl0_131
    | spl0_105 ),
    inference(avatar_split_clause,[],[f5171,f3291,f3702]) ).

thf(f5431,plain,
    ( spl0_131
    | spl0_27
    | spl0_105 ),
    inference(avatar_split_clause,[],[f5169,f3291,f319,f3702]) ).

thf(f5453,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f31,f5419]) ).

thf(f5454,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f5453]) ).

thf(f5458,plain,
    ( ~ spl0_108
    | ~ spl0_41
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f4412,f3288,f2110,f3301]) ).

thf(f5459,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_38
    | spl0_108 ),
    inference(constrained_superposition,[],[f5407,f547]) ).

thf(f5468,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_38
    | spl0_108 ),
    inference(trivial_inequality_removal,[],[f5459]) ).

thf(f5493,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f31,f3703]) ).

thf(f5497,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f5493]) ).

thf(f5554,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f5497,f3236]) ).

thf(f5562,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_99
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f5554]) ).

thf(f5564,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f5562,f3289]) ).

thf(f5565,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f5564]) ).

thf(f5566,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_57 ),
    inference(avatar_component_clause,[],[f2249]) ).

thf(f5579,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f171,f140,f134,f116]) ).

thf(f5634,definition,
    ( spl0_173
  <=> ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

thf(f5635,plain,
    ( ! [X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f5634]) ).

thf(f5640,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5416,f3250]) ).

thf(f5662,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f5640]) ).

thf(f5676,definition,
    ( spl0_174
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

thf(f5677,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f5676]) ).

thf(f5681,plain,
    ( ~ spl0_135
    | ~ spl0_103
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f5662,f5415,f3249,f3721]) ).

thf(f5730,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_38
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f1874,f5064]) ).

thf(f5741,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_38
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f5730]) ).

thf(f5758,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f5677,f3240]) ).

thf(f5770,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f5758]) ).

thf(f5771,plain,
    ( ~ spl0_156
    | ~ spl0_100
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f5770,f5676,f3239,f4550]) ).

thf(f5824,plain,
    ( spl0_169
    | spl0_168
    | ~ spl0_38
    | spl0_159 ),
    inference(avatar_split_clause,[],[f5291,f4880,f546,f5081,f5086]) ).

thf(f5825,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_167 ),
    inference(forward_subsumption_resolution,[],[f5741,f2111]) ).

thf(f5826,plain,
    ( spl0_168
    | ~ spl0_38
    | ~ spl0_41
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f5825,f5063,f2110,f546,f5081]) ).

thf(f5829,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f31,f5087]) ).

thf(f5831,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f5829]) ).

thf(f5842,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f5497,f3206]) ).

thf(f5853,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f5842]) ).

thf(f5867,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f5853,f4973]) ).

thf(f5868,plain,
    ( ~ spl0_93
    | ~ spl0_131
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f5867]) ).

thf(f6004,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f3629,f3243]) ).

thf(f6007,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f6004]) ).

thf(f6011,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[],[f6007,f3206]) ).

thf(f6012,plain,
    ( ~ spl0_93
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f6011]) ).

thf(f6018,definition,
    ( spl0_175
  <=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

thf(f6019,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f6018]) ).

thf(f6020,plain,
    ( spl0_109
    | spl0_175
    | ~ spl0_38
    | spl0_108 ),
    inference(avatar_split_clause,[],[f5468,f3301,f546,f6018,f3304]) ).

thf(f6025,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | spl0_107 ),
    inference(constrained_superposition,[],[f3299,f36]) ).

thf(f6028,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_107 ),
    inference(trivial_inequality_removal,[],[f6025]) ).

thf(f6045,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f5454,f3692]) ).

thf(f6064,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f6045]) ).

thf(f6072,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f6064,f230]) ).

thf(f6073,plain,
    ( ~ spl0_18
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f6072]) ).

thf(f6079,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f31,f6019]) ).

thf(f6081,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f6079]) ).

thf(f6167,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f2496,f3229]) ).

thf(f6168,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f2247,f3229]) ).

thf(f6189,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f6168]) ).

thf(f6194,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f6167]) ).

thf(f6249,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f5831,f5064]) ).

thf(f6275,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f6249]) ).

thf(f6277,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f6275,f2111]) ).

thf(f6278,plain,
    ( ~ spl0_41
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f6277]) ).

thf(f6299,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f240,f4898]) ).

thf(f6323,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f6299]) ).

thf(f6324,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f6323,f5082]) ).

thf(f6325,plain,
    ( ~ spl0_15
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f6324]) ).

thf(f6355,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f5454,f3707]) ).

thf(f6383,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f6355]) ).

thf(f6384,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f6383,f2111]) ).

thf(f6385,plain,
    ( ~ spl0_41
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f6384]) ).

thf(f6392,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(constrained_superposition,[],[f4523,f3203]) ).

thf(f6394,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_117 ),
    inference(constrained_superposition,[],[f3334,f3203]) ).

thf(f6416,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_117 ),
    inference(trivial_inequality_removal,[],[f6394]) ).

thf(f6418,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(trivial_inequality_removal,[],[f6392]) ).

thf(f6432,plain,
    ( ~ spl0_114
    | ~ spl0_92
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f6418,f4522,f3202,f3323]) ).

thf(f6439,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2496,f3210]) ).

thf(f6459,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f6439]) ).

thf(f6477,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_92
    | ~ spl0_111 ),
    inference(constrained_superposition,[],[f3312,f3203]) ).

thf(f6485,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_92
    | ~ spl0_111 ),
    inference(trivial_inequality_removal,[],[f6477]) ).

thf(f6490,plain,
    ( ~ spl0_152
    | ~ spl0_92
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f6485,f3311,f3202,f4533]) ).

thf(f6493,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_79 ),
    inference(constrained_superposition,[],[f2523,f61]) ).

thf(f6495,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_79 ),
    inference(constrained_superposition,[],[f2523,f30]) ).

thf(f6497,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_79 ),
    inference(trivial_inequality_removal,[],[f6495]) ).

thf(f6498,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_79 ),
    inference(trivial_inequality_removal,[],[f6493]) ).

thf(f6500,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_71
    | spl0_79 ),
    inference(forward_subsumption_resolution,[],[f6497,f3187]) ).

thf(f6501,plain,
    ( spl0_53
    | spl0_79 ),
    inference(avatar_split_clause,[],[f6498,f2522,f2235]) ).

thf(f6502,plain,
    ( spl0_53
    | spl0_71
    | spl0_79 ),
    inference(avatar_split_clause,[],[f6500,f2522,f2342,f2235]) ).

thf(f6520,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f2391,f2228]) ).

thf(f6529,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f6520]) ).

thf(f6545,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f6529,f230]) ).

thf(f6546,plain,
    ( ~ spl0_18
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f6545]) ).

thf(f6555,plain,
    ( ~ spl0_150
    | ~ spl0_92
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f6416,f3333,f3202,f4525]) ).

thf(f6641,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f31,f5087]) ).

thf(f6643,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f6641]) ).

thf(f6658,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_110
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f6081,f3309]) ).

thf(f6671,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_110
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f6658]) ).

thf(f6687,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_110
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f6671,f2111]) ).

thf(f6688,plain,
    ( ~ spl0_41
    | ~ spl0_110
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f6687]) ).

thf(f6702,plain,
    ( ~ spl0_106
    | ~ spl0_105
    | spl0_104
    | ~ spl0_76
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f6194,f3228,f2495,f3288,f3291,f3294]) ).

thf(f6704,plain,
    ( ~ spl0_147
    | spl0_163
    | ~ spl0_105
    | ~ spl0_76
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f6459,f3209,f2495,f3291,f4972,f4514]) ).

thf(f6740,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f1874,f3703]) ).

thf(f6754,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f6740]) ).

thf(f6799,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5416,f3210]) ).

thf(f6806,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f6799]) ).

thf(f6813,plain,
    ( ~ spl0_119
    | ~ spl0_94
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f6806,f5415,f3209,f3340]) ).

thf(f6848,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_102
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f6643,f3247]) ).

thf(f6850,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f6848]) ).

thf(f6863,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f6081,f3243]) ).

thf(f6866,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_38
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f1874,f3243]) ).

thf(f6883,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_38
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f6866]) ).

thf(f6884,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f6863]) ).

thf(f6915,definition,
    ( spl0_176
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

thf(f6916,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_176 ),
    inference(avatar_component_clause,[],[f6915]) ).

thf(f6919,definition,
    ( spl0_177
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

thf(f6920,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_177 ),
    inference(avatar_component_clause,[],[f6919]) ).

thf(f6922,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_176 ),
    inference(constrained_superposition,[],[f6916,f180]) ).

thf(f6924,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_176 ),
    inference(constrained_superposition,[],[f6916,f37]) ).

thf(f6925,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_176 ),
    inference(constrained_superposition,[],[f6916,f30]) ).

thf(f6927,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_176 ),
    inference(trivial_inequality_removal,[],[f6922]) ).

thf(f6928,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | spl0_176 ),
    inference(trivial_inequality_removal,[],[f6924]) ).

thf(f6929,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_176 ),
    inference(trivial_inequality_removal,[],[f6925]) ).

thf(f6931,plain,
    ( spl0_128
    | spl0_176 ),
    inference(avatar_split_clause,[],[f6927,f6915,f3691]) ).

thf(f6932,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_71
    | spl0_176 ),
    inference(forward_subsumption_resolution,[],[f6928,f3187]) ).

thf(f6933,plain,
    ( spl0_146
    | spl0_128
    | spl0_176 ),
    inference(avatar_split_clause,[],[f6929,f6915,f3691,f4270]) ).

thf(f6934,plain,
    ( spl0_128
    | spl0_71
    | spl0_176 ),
    inference(avatar_split_clause,[],[f6932,f6915,f2342,f3691]) ).

thf(f6936,plain,
    ( ~ spl0_108
    | ~ spl0_102
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f6850,f5086,f3246,f3301]) ).

thf(f6941,plain,
    ( ~ spl0_159
    | ~ spl0_101
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f6884,f6018,f3242,f4880]) ).

thf(f6944,plain,
    ( ~ spl0_127
    | spl0_48
    | ~ spl0_38
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f6754,f3702,f546,f2217,f3639]) ).

thf(f7008,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_137 ),
    inference(constrained_superposition,[],[f60,f3750]) ).

thf(f7164,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ z ) )
      = $true )
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f7008,f27]) ).

thf(f7194,plain,
    ( $false
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f7164,f26]) ).

thf(f7195,plain,
    ~ spl0_137,
    inference(avatar_contradiction_clause,[],[f7194]) ).

thf(f7199,plain,
    ( ~ spl0_159
    | spl0_109
    | ~ spl0_38
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f6883,f3242,f546,f3304,f4880]) ).

thf(f7274,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_160 ),
    inference(constrained_superposition,[],[f504,f4884]) ).

thf(f7393,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f7274,f26]) ).

thf(f7425,plain,
    ( $false
    | ~ spl0_160 ),
    inference(forward_subsumption_resolution,[],[f7393,f27]) ).

thf(f7426,plain,
    ~ spl0_160,
    inference(avatar_contradiction_clause,[],[f7425]) ).

thf(f7436,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_38
    | spl0_127 ),
    inference(constrained_superposition,[],[f3640,f547]) ).

thf(f7437,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_38
    | spl0_127 ),
    inference(trivial_inequality_removal,[],[f7436]) ).

thf(f7450,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_15
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f240,f3554]) ).

thf(f7455,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f7450]) ).

thf(f7458,plain,
    ( $false
    | ~ spl0_15
    | spl0_107
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f7455,f6028]) ).

thf(f7459,plain,
    ( ~ spl0_15
    | spl0_107
    | ~ spl0_123 ),
    inference(avatar_contradiction_clause,[],[f7458]) ).

thf(f7470,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_177 ),
    inference(constrained_superposition,[],[f6920,f62]) ).

thf(f7471,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | spl0_177 ),
    inference(constrained_superposition,[],[f6920,f37]) ).

thf(f7475,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_177 ),
    inference(trivial_inequality_removal,[],[f7471]) ).

thf(f7477,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_177 ),
    inference(trivial_inequality_removal,[],[f7470]) ).

thf(f7486,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_38
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f1874,f3309]) ).

thf(f7491,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_38
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f7486]) ).

thf(f7496,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_113 ),
    inference(constrained_superposition,[],[f3321,f3210]) ).

thf(f7510,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_113 ),
    inference(trivial_inequality_removal,[],[f7496]) ).

thf(f7515,plain,
    ( ~ spl0_150
    | ~ spl0_94
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f7510,f3320,f3209,f4525]) ).

thf(f7517,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | spl0_41 ),
    inference(avatar_component_clause,[],[f2110]) ).

thf(f7518,plain,
    ( ~ spl0_41
    | spl0_109
    | ~ spl0_38
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f7491,f3308,f546,f3304,f2110]) ).

thf(f7521,definition,
    ( spl0_181
  <=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

thf(f7522,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f7521]) ).

thf(f7523,plain,
    ( spl0_171
    | spl0_181
    | ~ spl0_38
    | spl0_127 ),
    inference(avatar_split_clause,[],[f7437,f3639,f546,f7521,f5418]) ).

thf(f7525,plain,
    ( ~ spl0_106
    | spl0_104
    | ~ spl0_107
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f6189,f3228,f2246,f3298,f3288,f3294]) ).

thf(f7537,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f240,f3554]) ).

thf(f7543,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_15
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f7537]) ).

thf(f7545,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f7543,f7522]) ).

thf(f7546,plain,
    ( ~ spl0_15
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f7545]) ).

thf(f7558,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f7559,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f7558]) ).

thf(f7590,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f7559,f2236]) ).

thf(f7591,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f7559,f3703]) ).

thf(f7592,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f7591]) ).

thf(f7593,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f7590]) ).

thf(f7594,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_123
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f7592,f3554]) ).

thf(f7595,plain,
    ( ~ spl0_46
    | ~ spl0_123
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f7594]) ).

thf(f7596,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f7593,f213]) ).

thf(f7597,plain,
    ( ~ spl0_13
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(avatar_contradiction_clause,[],[f7596]) ).

thf(f7609,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_158 ),
    inference(constrained_superposition,[],[f4787,f180]) ).

thf(f7611,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_158 ),
    inference(trivial_inequality_removal,[],[f7609]) ).

thf(f7619,plain,
    ( spl0_128
    | ~ spl0_32
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f7611,f4786,f434,f3691]) ).

thf(f7622,plain,
    ( spl0_132
    | spl0_27
    | spl0_177 ),
    inference(avatar_split_clause,[],[f7477,f6919,f319,f3706]) ).

thf(f7625,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_72
    | spl0_177 ),
    inference(forward_subsumption_resolution,[],[f7475,f3190]) ).

thf(f7626,plain,
    ( spl0_132
    | spl0_72
    | spl0_177 ),
    inference(avatar_split_clause,[],[f7625,f6919,f2405,f3706]) ).

thf(f7630,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_48 ),
    inference(constrained_superposition,[],[f31,f2218]) ).

thf(f7631,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_48 ),
    inference(trivial_inequality_removal,[],[f7630]) ).

thf(f7632,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f31,f2236]) ).

thf(f7633,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f7632]) ).

thf(f7634,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f31,f2228]) ).

thf(f7635,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f7634]) ).

thf(f7663,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f7664,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f7663]) ).

thf(f7687,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f7664,f3302]) ).

thf(f7688,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f7687]) ).

thf(f7701,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f7631,f2228]) ).

thf(f7702,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f7631,f2236]) ).

thf(f7703,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f7702]) ).

thf(f7704,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f7701]) ).

thf(f7705,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(forward_subsumption_resolution,[],[f7703,f92]) ).

thf(f7706,plain,
    ( ~ spl0_4
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(avatar_contradiction_clause,[],[f7705]) ).

thf(f7707,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f7704,f220]) ).

thf(f7708,plain,
    ( ~ spl0_15
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(avatar_contradiction_clause,[],[f7707]) ).

thf(f7713,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f7633,f2228]) ).

thf(f7716,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f7713]) ).

thf(f7717,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_121 ),
    inference(constrained_superposition,[],[f3348,f3229]) ).

thf(f7734,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_121 ),
    inference(trivial_inequality_removal,[],[f7717]) ).

thf(f7736,plain,
    ( ~ spl0_106
    | ~ spl0_97
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f7734,f3347,f3228,f3294]) ).

thf(f7737,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f3305,f7688]) ).

thf(f7738,plain,
    ( ~ spl0_4
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f7737]) ).

thf(f7739,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f31,f85]) ).

thf(f7740,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f7739]) ).

thf(f7742,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_2
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f7740,f3302]) ).

thf(f7747,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_2
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f7742]) ).

thf(f7756,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f7747,f3305]) ).

thf(f7757,plain,
    ( ~ spl0_2
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f7756]) ).

thf(f7758,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f7759,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f7758]) ).

thf(f7764,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_107 ),
    inference(constrained_superposition,[],[f3299,f36]) ).

thf(f7766,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | spl0_107 ),
    inference(trivial_inequality_removal,[],[f7764]) ).

thf(f7768,plain,
    ( spl0_181
    | spl0_107 ),
    inference(avatar_split_clause,[],[f7766,f3298,f7521]) ).

thf(f7774,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f7759,f5411]) ).

thf(f7775,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f7774]) ).

thf(f7778,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f7775,f7522]) ).

thf(f7779,plain,
    ( ~ spl0_4
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f7778]) ).

thf(f7780,plain,
    ( ~ spl0_18
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f7716,f2235,f2227,f229]) ).

thf(f7782,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f7783,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f7782]) ).

thf(f7799,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f7759,f230]) ).

thf(f7801,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f7799]) ).

thf(f7803,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[],[f7801,f220]) ).

thf(f7804,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f7803]) ).

thf(f7805,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f31,f85]) ).

thf(f7806,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f7805]) ).

thf(f7821,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f7806,f5411]) ).

thf(f7822,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f31,f5411]) ).

thf(f7823,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f7822]) ).

thf(f7824,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f7821]) ).

thf(f7825,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f7824,f7522]) ).

thf(f7826,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f7825]) ).

thf(f7832,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f31,f3327]) ).

thf(f7833,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f7832]) ).

thf(f7836,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f31,f3707]) ).

thf(f7837,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f7836]) ).

thf(f7853,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f7783,f3289]) ).

thf(f7855,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f7853]) ).

thf(f7857,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f7855,f3327]) ).

thf(f7858,plain,
    ( ~ spl0_46
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f7857]) ).

thf(f7859,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f7635,f3289]) ).

thf(f7861,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f7859]) ).

thf(f7863,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f7861,f3327]) ).

thf(f7864,plain,
    ( ~ spl0_51
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f7863]) ).

thf(f7916,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_117 ),
    inference(constrained_superposition,[],[f3334,f3233]) ).

thf(f7919,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_117 ),
    inference(constrained_superposition,[],[f3334,f61]) ).

thf(f7920,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_117 ),
    inference(trivial_inequality_removal,[],[f7919]) ).

thf(f7924,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_117 ),
    inference(trivial_inequality_removal,[],[f7916]) ).

thf(f7929,plain,
    ( spl0_171
    | ~ spl0_24
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f7920,f3333,f289,f5418]) ).

thf(f7930,plain,
    ( ~ spl0_129
    | ~ spl0_98
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f7924,f3333,f3232,f3694]) ).

thf(f7933,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f31,f5419]) ).

thf(f7936,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f7933]) ).

thf(f7968,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f5677,f180]) ).

thf(f7975,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f7968]) ).

thf(f7979,plain,
    ( ~ spl0_32
    | spl0_118
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f7975,f5676,f3336,f434]) ).

thf(f8046,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_126 ),
    inference(constrained_superposition,[],[f3578,f60]) ).

thf(f8055,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_126 ),
    inference(trivial_inequality_removal,[],[f8046]) ).

thf(f8059,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | spl0_108
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f8055,f5407]) ).

thf(f8061,plain,
    ( ~ spl0_24
    | spl0_108
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f8059,f3577,f3301,f289]) ).

thf(f8152,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f7837,f3236]) ).

thf(f8155,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_99
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f8152]) ).

thf(f8159,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_104
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f8155,f3289]) ).

thf(f8160,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f8159]) ).

thf(f8202,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_101
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f7833,f3243]) ).

thf(f8206,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f8202]) ).

thf(f8210,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_115
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f8206,f4898]) ).

thf(f8211,plain,
    ( ~ spl0_101
    | ~ spl0_115
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f8210]) ).

thf(f8256,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( 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 ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f76,f3250]) ).

thf(f8257,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f55,f3250]) ).

thf(f8268,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f8256]) ).

thf(f8269,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f8257]) ).

thf(f8285,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(constrained_superposition,[],[f3710,f3229]) ).

thf(f8286,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_100
    | ~ spl0_133 ),
    inference(constrained_superposition,[],[f3710,f3240]) ).

thf(f8288,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_133 ),
    inference(constrained_superposition,[],[f3710,f180]) ).

thf(f8292,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(trivial_inequality_removal,[],[f8285]) ).

thf(f8293,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_100
    | ~ spl0_133 ),
    inference(trivial_inequality_removal,[],[f8286]) ).

thf(f8299,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_133 ),
    inference(trivial_inequality_removal,[],[f8288]) ).

thf(f8300,plain,
    ( ~ spl0_105
    | ~ spl0_97
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f8292,f3709,f3228,f3291]) ).

thf(f8301,plain,
    ( ~ spl0_152
    | ~ spl0_100
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f8293,f3709,f3239,f4533]) ).

thf(f8302,plain,
    ( spl0_118
    | ~ spl0_81
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f8299,f3709,f2529,f3336]) ).

thf(f8308,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_154 ),
    inference(constrained_superposition,[],[f4543,f3210]) ).

thf(f8313,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_154 ),
    inference(trivial_inequality_removal,[],[f8308]) ).

thf(f8323,plain,
    ( ~ spl0_114
    | ~ spl0_94
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f8313,f4542,f3209,f3323]) ).

thf(f8345,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_94
    | ~ spl0_153 ),
    inference(constrained_superposition,[],[f4537,f3210]) ).

thf(f8346,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_103
    | ~ spl0_153 ),
    inference(constrained_superposition,[],[f4537,f3250]) ).

thf(f8348,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_153 ),
    inference(constrained_superposition,[],[f4537,f180]) ).

thf(f8355,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_94
    | ~ spl0_153 ),
    inference(trivial_inequality_removal,[],[f8345]) ).

thf(f8357,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_153 ),
    inference(trivial_inequality_removal,[],[f8348]) ).

thf(f8359,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_153 ),
    inference(trivial_inequality_removal,[],[f8346]) ).

thf(f8360,plain,
    ( ~ spl0_105
    | ~ spl0_94
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f8355,f4536,f3209,f3291]) ).

thf(f8361,plain,
    ( spl0_166
    | ~ spl0_81
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f8357,f4536,f2529,f5059]) ).

thf(f8362,plain,
    ( ~ spl0_134
    | ~ spl0_103
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f8359,f4536,f3249,f3712]) ).

thf(f8377,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(constrained_superposition,[],[f4529,f3250]) ).

thf(f8379,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_151 ),
    inference(constrained_superposition,[],[f4529,f180]) ).

thf(f8387,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_151 ),
    inference(trivial_inequality_removal,[],[f8379]) ).

thf(f8388,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(trivial_inequality_removal,[],[f8377]) ).

thf(f8391,plain,
    ( spl0_166
    | ~ spl0_176
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f8387,f4528,f6915,f5059]) ).

thf(f8392,plain,
    ( $false
    | ~ spl0_98
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(forward_subsumption_resolution,[],[f8388,f3233]) ).

thf(f8393,plain,
    ( ~ spl0_98
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(avatar_contradiction_clause,[],[f8392]) ).

thf(f8404,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f5635,f3210]) ).

thf(f8407,plain,
    ( ( ( 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_173 ),
    inference(constrained_superposition,[],[f5635,f180]) ).

thf(f8413,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_94
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f8404]) ).

thf(f8415,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_173 ),
    inference(trivial_inequality_removal,[],[f8407]) ).

thf(f8419,plain,
    ( $false
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(forward_subsumption_resolution,[],[f8413,f3229]) ).

thf(f8420,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(avatar_contradiction_clause,[],[f8419]) ).

thf(f8422,definition,
    ( spl0_182
  <=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

thf(f8423,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_182 ),
    inference(avatar_component_clause,[],[f8422]) ).

thf(f8424,plain,
    ( spl0_166
    | ~ spl0_182
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f8415,f5634,f8422,f5059]) ).

thf(f8441,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f8443,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f8441]) ).

thf(f8452,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_182 ),
    inference(constrained_superposition,[],[f8423,f180]) ).

thf(f8454,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_182 ),
    inference(constrained_superposition,[],[f8423,f37]) ).

thf(f8457,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_182 ),
    inference(trivial_inequality_removal,[],[f8454]) ).

thf(f8459,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_182 ),
    inference(trivial_inequality_removal,[],[f8452]) ).

thf(f8461,plain,
    ( spl0_141
    | spl0_118
    | spl0_182 ),
    inference(avatar_split_clause,[],[f8457,f8422,f3336,f4015]) ).

thf(f8463,plain,
    ( spl0_118
    | spl0_182 ),
    inference(avatar_split_clause,[],[f8459,f8422,f3336]) ).

thf(f8487,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f8443,f5419]) ).

thf(f8490,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f8487]) ).

thf(f8493,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_103
    | ~ spl0_136 ),
    inference(constrained_superposition,[],[f3725,f3250]) ).

thf(f8508,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_136 ),
    inference(trivial_inequality_removal,[],[f8493]) ).

thf(f8513,plain,
    ( ~ spl0_156
    | ~ spl0_103
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f8508,f3724,f3249,f4550]) ).

thf(f8515,definition,
    ( spl0_183
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $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 ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

thf(f8516,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f8515]) ).

thf(f8549,plain,
    ( spl0_159
    | spl0_136
    | ~ spl0_135
    | spl0_173
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f8268,f3249,f5634,f3721,f3724,f4880]) ).

thf(f8562,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f7823,f3206]) ).

thf(f8565,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f8562]) ).

thf(f8570,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_127
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f8565,f4881]) ).

thf(f8571,plain,
    ( ~ spl0_93
    | ~ spl0_127
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f8570]) ).

thf(f8578,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f31,f230]) ).

thf(f8579,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f8578]) ).

thf(f8596,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f8490,f213]) ).

thf(f8597,plain,
    ( ~ spl0_13
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f8596]) ).

thf(f8598,plain,
    ( spl0_173
    | spl0_124
    | ~ spl0_106
    | spl0_168
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f8269,f3249,f5081,f3294,f3564,f5634]) ).

thf(f8613,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_18
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f8579,f4898]) ).

thf(f8615,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_18
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f8613]) ).

thf(f8618,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f8615,f4881]) ).

thf(f8619,plain,
    ( ~ spl0_18
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f8618]) ).

thf(f8631,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(constrained_superposition,[],[f3565,f3233]) ).

thf(f8632,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_103
    | ~ spl0_124 ),
    inference(constrained_superposition,[],[f3565,f3250]) ).

thf(f8633,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_124 ),
    inference(constrained_superposition,[],[f3565,f503]) ).

thf(f8641,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(trivial_inequality_removal,[],[f8631]) ).

thf(f8646,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_103
    | ~ spl0_124 ),
    inference(trivial_inequality_removal,[],[f8632]) ).

thf(f8648,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_124 ),
    inference(trivial_inequality_removal,[],[f8633]) ).

thf(f8651,plain,
    ( ~ spl0_107
    | ~ spl0_98
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f8641,f3564,f3232,f3298]) ).

thf(f8652,plain,
    ( ~ spl0_147
    | ~ spl0_103
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f8646,f3564,f3249,f4514]) ).

thf(f8653,plain,
    ( ~ spl0_42
    | spl0_104
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f8648,f3564,f3288,f2113]) ).

thf(f8659,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_158 ),
    inference(constrained_superposition,[],[f4787,f3233]) ).

thf(f8666,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_158 ),
    inference(trivial_inequality_removal,[],[f8659]) ).

thf(f8672,plain,
    ( ~ spl0_135
    | ~ spl0_98
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f8666,f4786,f3232,f3721]) ).

thf(f8711,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_136 ),
    inference(constrained_superposition,[],[f3725,f3233]) ).

thf(f8713,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_136 ),
    inference(constrained_superposition,[],[f3725,f503]) ).

thf(f8721,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_136 ),
    inference(trivial_inequality_removal,[],[f8713]) ).

thf(f8727,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_136 ),
    inference(trivial_inequality_removal,[],[f8711]) ).

thf(f8731,plain,
    ( ~ spl0_69
    | spl0_104
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f8721,f3724,f3288,f2321]) ).

thf(f8732,plain,
    ( ~ spl0_119
    | ~ spl0_98
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f8727,f3724,f3232,f3340]) ).

thf(f8733,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_157 ),
    inference(constrained_superposition,[],[f4555,f503]) ).

thf(f8743,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_157 ),
    inference(trivial_inequality_removal,[],[f8733]) ).

thf(f8749,plain,
    ( ~ spl0_42
    | spl0_163
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f8743,f4554,f4972,f2113]) ).

thf(f8755,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_97
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f5677,f3229]) ).

thf(f8764,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_97
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f8755]) ).

thf(f8768,plain,
    ( ~ spl0_119
    | ~ spl0_97
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f8764,f5676,f3228,f3340]) ).

thf(f8775,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f7936,f3206]) ).

thf(f8781,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f8775]) ).

thf(f8785,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_159
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f8781,f4881]) ).

thf(f8786,plain,
    ( ~ spl0_93
    | ~ spl0_159
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f8785]) ).

thf(f8788,plain,
    ( spl0_15
    | spl0_28 ),
    inference(avatar_split_clause,[],[f456,f421,f219]) ).

thf(f8791,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_48 ),
    inference(constrained_superposition,[],[f31,f2218]) ).

thf(f8792,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_48 ),
    inference(trivial_inequality_removal,[],[f8791]) ).

thf(f8826,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f8792,f3703]) ).

thf(f8827,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f8826]) ).

thf(f8828,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_131
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f8827,f7522]) ).

thf(f8829,plain,
    ( ~ spl0_48
    | ~ spl0_131
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f8828]) ).

thf(f8941,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f8792,f4973]) ).

thf(f8944,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f8941]) ).

thf(f8945,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f8944,f5082]) ).

thf(f8946,plain,
    ( ~ spl0_48
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f8945]) ).

thf(f8951,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_121 ),
    inference(constrained_superposition,[],[f3348,f60]) ).

thf(f8958,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_121 ),
    inference(trivial_inequality_removal,[],[f8951]) ).

thf(f8965,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_121
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f8958,f3640]) ).

thf(f8967,plain,
    ( ~ spl0_9
    | ~ spl0_121
    | spl0_127 ),
    inference(avatar_split_clause,[],[f8965,f3639,f3347,f137]) ).

thf(f9004,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_92
    | ~ spl0_157 ),
    inference(constrained_superposition,[],[f4555,f3203]) ).

thf(f9026,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_92
    | ~ spl0_157 ),
    inference(trivial_inequality_removal,[],[f9004]) ).

thf(f9036,plain,
    ( ~ spl0_107
    | ~ spl0_92
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f9026,f4554,f3202,f3298]) ).

thf(f9047,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f8792,f3289]) ).

thf(f9050,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f9047]) ).

thf(f9051,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f9050,f3305]) ).

thf(f9052,plain,
    ( ~ spl0_48
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f9051]) ).

thf(f9060,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f31,f2236]) ).

thf(f9062,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f9060]) ).

thf(f9084,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f31,f5411]) ).

thf(f9085,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f9084]) ).

thf(f9096,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f9085,f3236]) ).

thf(f9102,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f9096]) ).

thf(f9106,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f9102,f3302]) ).

thf(f9107,plain,
    ( ~ spl0_99
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f9106]) ).

thf(f9116,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f9062,f3289]) ).

thf(f9118,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f31,f3289]) ).

thf(f9120,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_53
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f9116]) ).

thf(f9121,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f9118]) ).

thf(f9122,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f9120,f3302]) ).

thf(f9123,plain,
    ( ~ spl0_53
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(avatar_contradiction_clause,[],[f9122]) ).

thf(f9203,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_174 ),
    inference(constrained_superposition,[],[f5677,f504]) ).

thf(f9214,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_174 ),
    inference(trivial_inequality_removal,[],[f9203]) ).

thf(f9215,plain,
    ( ~ spl0_69
    | spl0_110
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f9214,f5676,f3308,f2321]) ).

thf(f9243,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_126 ),
    inference(constrained_superposition,[],[f3578,f3233]) ).

thf(f9257,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_126 ),
    inference(trivial_inequality_removal,[],[f9243]) ).

thf(f9262,plain,
    ( ~ spl0_114
    | ~ spl0_98
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f9257,f3577,f3232,f3323]) ).

thf(f9281,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_111 ),
    inference(constrained_superposition,[],[f3312,f61]) ).

thf(f9289,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_111 ),
    inference(trivial_inequality_removal,[],[f9281]) ).

thf(f9327,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_157 ),
    inference(constrained_superposition,[],[f4555,f3240]) ).

thf(f9340,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_157 ),
    inference(trivial_inequality_removal,[],[f9327]) ).

thf(f9346,plain,
    ( ~ spl0_106
    | ~ spl0_100
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f9340,f4554,f3239,f3294]) ).

thf(f9347,plain,
    ( ~ spl0_79
    | spl0_171
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f9289,f3311,f5418,f2522]) ).

thf(f9357,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | spl0_69 ),
    inference(constrained_superposition,[],[f2322,f30]) ).

thf(f9359,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | spl0_69 ),
    inference(trivial_inequality_removal,[],[f9357]) ).

thf(f9361,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | spl0_69
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f9359,f3187]) ).

thf(f9363,plain,
    ( spl0_41
    | spl0_69
    | spl0_71 ),
    inference(avatar_split_clause,[],[f9361,f2342,f2321,f2110]) ).

thf(f9427,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_93 ),
    inference(constrained_superposition,[],[f31,f3206]) ).

thf(f9429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_93 ),
    inference(trivial_inequality_removal,[],[f9427]) ).

thf(f9458,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f9121,f3243]) ).

thf(f9460,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f9121,f6019]) ).

thf(f9462,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f9460]) ).

thf(f9464,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f9458]) ).

thf(f9466,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f9462,f2236]) ).

thf(f9467,plain,
    ( ~ spl0_53
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f9466]) ).

thf(f9478,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_93 ),
    inference(constrained_superposition,[],[f9429,f2697]) ).

thf(f9482,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f9429,f5087]) ).

thf(f9484,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_83
    | ~ spl0_93 ),
    inference(trivial_inequality_removal,[],[f9478]) ).

thf(f9485,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f9482]) ).

thf(f9488,plain,
    ( $false
    | ~ spl0_83
    | ~ spl0_93 ),
    inference(forward_subsumption_resolution,[],[f9484,f2697]) ).

thf(f9489,plain,
    ( ~ spl0_83
    | ~ spl0_93 ),
    inference(avatar_contradiction_clause,[],[f9488]) ).

thf(f9490,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_169
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f9485,f5419]) ).

thf(f9491,plain,
    ( ~ spl0_93
    | ~ spl0_169
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f9490]) ).

thf(f9494,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f4973,f9464]) ).

thf(f9495,plain,
    ( ~ spl0_101
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f9494]) ).

thf(f9499,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f31,f3236]) ).

thf(f9503,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f9499]) ).

thf(f9519,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f8792,f4973]) ).

thf(f9523,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f9519]) ).

thf(f9585,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_149 ),
    inference(constrained_superposition,[],[f4523,f60]) ).

thf(f9587,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_149 ),
    inference(constrained_superposition,[],[f4523,f36]) ).

thf(f9590,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_149 ),
    inference(trivial_inequality_removal,[],[f9585]) ).

thf(f9595,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_149 ),
    inference(trivial_inequality_removal,[],[f9587]) ).

thf(f9599,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_149
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f9590,f5278]) ).

thf(f9600,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_48
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f9595,f9523]) ).

thf(f9601,plain,
    ( ~ spl0_24
    | ~ spl0_149
    | spl0_159 ),
    inference(avatar_split_clause,[],[f9599,f4880,f4522,f289]) ).

thf(f9602,plain,
    ( ~ spl0_22
    | ~ spl0_48
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f9600,f4972,f4522,f2217,f282]) ).

thf(f9607,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f9503,f6019]) ).

thf(f9609,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f9607]) ).

thf(f9613,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_171
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f9609,f5419]) ).

thf(f9614,plain,
    ( ~ spl0_99
    | ~ spl0_171
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f9613]) ).

thf(f9623,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f9624,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f9623]) ).

thf(f9629,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f31,f213]) ).

thf(f9630,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f9629]) ).

thf(f9645,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f141,f30]) ).

thf(f9652,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f9645]) ).

thf(f9653,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f9652,f30]) ).

thf(f9656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f9653]) ).

thf(f9673,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f9630,f3554]) ).

thf(f9675,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f9673]) ).

thf(f9677,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_123
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f9675,f5411]) ).

thf(f9678,plain,
    ( ~ spl0_13
    | ~ spl0_123
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f9677]) ).

thf(f9703,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f9624,f4881]) ).

thf(f9706,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f9703]) ).

thf(f9707,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f9706,f5082]) ).

thf(f9708,plain,
    ( ~ spl0_4
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f9707]) ).

thf(f9720,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f31,f5087]) ).

thf(f9721,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f9720]) ).

thf(f9729,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f31,f3289]) ).

thf(f9730,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f9729]) ).

thf(f9805,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f9807,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f9805]) ).

thf(f9818,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f9721,f3213]) ).

thf(f9823,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f9818]) ).

thf(f9831,plain,
    ( ~ spl0_127
    | ~ spl0_95
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f9823,f5086,f3212,f3639]) ).

thf(f9835,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f31,f6019]) ).

thf(f9836,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f9835]) ).

thf(f9838,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f31,f3703]) ).

thf(f9839,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f9838]) ).

thf(f9848,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f31,f4881]) ).

thf(f9849,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f9848]) ).

thf(f9861,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f9836,f3337]) ).

thf(f9863,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f9861]) ).

thf(f9880,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f9839,f3692]) ).

thf(f9882,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f9880]) ).

thf(f9943,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f9730,f3337]) ).

thf(f9946,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f9943]) ).

thf(f9952,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f9807,f3213]) ).

thf(f9959,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f9952]) ).

thf(f9960,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_123
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f9959,f3554]) ).

thf(f9961,plain,
    ( ~ spl0_95
    | ~ spl0_123
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f9960]) ).

thf(f9962,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f2228,f9882]) ).

thf(f9963,plain,
    ( ~ spl0_51
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f9962]) ).

thf(f9975,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_104
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f9946,f2228]) ).

thf(f9976,plain,
    ( ~ spl0_51
    | ~ spl0_104
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f9975]) ).

thf(f10011,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_10
    | spl0_127 ),
    inference(constrained_superposition,[],[f3640,f9656]) ).

thf(f10012,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_10
    | spl0_41 ),
    inference(constrained_superposition,[],[f7517,f9656]) ).

thf(f10015,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_10
    | spl0_41 ),
    inference(trivial_inequality_removal,[],[f10012]) ).

thf(f10016,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_10
    | spl0_127 ),
    inference(trivial_inequality_removal,[],[f10011]) ).

thf(f10019,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_10
    | spl0_41
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f10015,f3187]) ).

thf(f10022,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_10
    | spl0_41
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f10019,f28]) ).

thf(f10025,plain,
    ( $false
    | ~ spl0_10
    | spl0_41
    | spl0_48
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f10022,f2791]) ).

thf(f10026,plain,
    ( ~ spl0_10
    | spl0_41
    | spl0_48
    | spl0_71 ),
    inference(avatar_contradiction_clause,[],[f10025]) ).

thf(f10030,definition,
    ( spl0_184
  <=> ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( 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_184])],[avatar_definition]) ).

thf(f10031,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f10030]) ).

thf(f10041,plain,
    ( ~ spl0_18
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f9863,f6018,f3336,f229]) ).

thf(f10042,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_10
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f10016,f28]) ).

thf(f10044,plain,
    ( spl0_181
    | spl0_141
    | ~ spl0_10
    | spl0_127 ),
    inference(avatar_split_clause,[],[f10042,f3639,f140,f4015,f7521]) ).

thf(f10105,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_141 ),
    inference(constrained_superposition,[],[f180,f4016]) ).

thf(f10240,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f10105,f26]) ).

thf(f10264,plain,
    ( $false
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f10240,f27]) ).

thf(f10265,plain,
    ~ spl0_141,
    inference(avatar_contradiction_clause,[],[f10264]) ).

thf(f10271,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_18 ),
    inference(constrained_superposition,[],[f31,f230]) ).

thf(f10272,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f10271]) ).

thf(f10282,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f10283,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f10282]) ).

thf(f10284,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f31,f3302]) ).

thf(f10285,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f10284]) ).

thf(f10318,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f31,f3707]) ).

thf(f10321,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f10318]) ).

thf(f10359,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_123
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f10283,f3707]) ).

thf(f10365,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_123
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f10359]) ).

thf(f10368,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_108
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f10285,f3337]) ).

thf(f10371,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_108
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f10368]) ).

thf(f10372,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_108
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f10371,f230]) ).

thf(f10373,plain,
    ( ~ spl0_18
    | ~ spl0_108
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f10372]) ).

thf(f10376,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_18
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f10272,f3327]) ).

thf(f10379,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_18
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f10376]) ).

thf(f10380,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f10379,f3302]) ).

thf(f10381,plain,
    ( ~ spl0_18
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f10380]) ).

thf(f10383,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f10384,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f10383]) ).

thf(f10390,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f10384,f3302]) ).

thf(f10397,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f10390]) ).

thf(f10410,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f76,f3210]) ).

thf(f10418,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f10410]) ).

thf(f10435,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_126 ),
    inference(constrained_superposition,[],[f3578,f36]) ).

thf(f10440,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_126 ),
    inference(trivial_inequality_removal,[],[f10435]) ).

thf(f10448,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_4
    | ~ spl0_108
    | ~ spl0_126 ),
    inference(forward_subsumption_resolution,[],[f10440,f10397]) ).

thf(f10449,plain,
    ( ~ spl0_22
    | ~ spl0_4
    | ~ spl0_108
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f10448,f3577,f3301,f91,f282]) ).

thf(f10451,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_159
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f9849,f5064]) ).

thf(f10453,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_159
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f9849,f5060]) ).

thf(f10454,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_159
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f10451]) ).

thf(f10457,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_159
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f10453]) ).

thf(f10458,plain,
    ( $false
    | ~ spl0_41
    | ~ spl0_159
    | ~ spl0_167 ),
    inference(forward_subsumption_resolution,[],[f10454,f2111]) ).

thf(f10459,plain,
    ( ~ spl0_41
    | ~ spl0_159
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f10458]) ).

thf(f10460,plain,
    ( $false
    | ~ spl0_18
    | ~ spl0_159
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f10457,f230]) ).

thf(f10461,plain,
    ( ~ spl0_18
    | ~ spl0_159
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f10460]) ).

thf(f10462,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_101
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f10285,f3243]) ).

thf(f10467,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f10462]) ).

thf(f10468,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f10467,f4881]) ).

thf(f10469,plain,
    ( ~ spl0_101
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f10468]) ).

thf(f10470,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_123
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2211,f10365]) ).

thf(f10471,plain,
    ( ~ spl0_46
    | ~ spl0_123
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f10470]) ).

thf(f10505,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f31,f3289]) ).

thf(f10506,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f10505]) ).

thf(f10508,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f31,f3309]) ).

thf(f10509,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f10508]) ).

thf(f10552,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f10321,f5419]) ).

thf(f10557,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f10552]) ).

thf(f10611,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f10506,f6019]) ).

thf(f10614,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f10611]) ).

thf(f10616,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f10557,f135]) ).

thf(f10625,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f31,f135]) ).

thf(f10626,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f10625]) ).

thf(f10631,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f10616]) ).

thf(f10636,plain,
    ( $false
    | ~ spl0_8
    | spl0_57
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f10631,f5566]) ).

thf(f10637,plain,
    ( ~ spl0_8
    | spl0_57
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f10636]) ).

thf(f10640,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f10614,f135]) ).

thf(f10641,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f10640]) ).

thf(f10642,plain,
    ( $false
    | ~ spl0_8
    | spl0_57
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f10641,f5566]) ).

thf(f10643,plain,
    ( ~ spl0_8
    | spl0_57
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f10642]) ).

thf(f10701,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( $true != $true )
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f3548,f61]) ).

thf(f10706,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f10701]) ).

thf(f10712,plain,
    ( spl0_175
    | ~ spl0_24
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f10706,f3547,f289,f6018]) ).

thf(f10715,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f10717,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f10715]) ).

thf(f10729,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(constrained_superposition,[],[f4543,f3250]) ).

thf(f10736,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f162,f3250]) ).

thf(f10750,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(trivial_inequality_removal,[],[f10729]) ).

thf(f10751,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f10736]) ).

thf(f10758,plain,
    ( ~ spl0_129
    | ~ spl0_103
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f10750,f4542,f3249,f3694]) ).

thf(f10784,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f10626,f4898]) ).

thf(f10793,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f10784]) ).

thf(f10805,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f10793,f4881]) ).

thf(f10806,plain,
    ( spl0_20
    | ~ spl0_8
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f10805,f4897,f4880,f134,f236]) ).

thf(f10811,plain,
    ( spl0_174
    | ~ spl0_135
    | spl0_169
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f10751,f3249,f5086,f3721,f5676]) ).

thf(f10840,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f10626,f3327]) ).

thf(f10843,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f10840]) ).

thf(f10847,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f10843,f3302]) ).

thf(f10849,plain,
    ( spl0_20
    | ~ spl0_8
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f10847,f3326,f3301,f134,f236]) ).

thf(f10850,plain,
    ( spl0_120
    | spl0_151
    | spl0_159
    | ~ spl0_119
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f10418,f3209,f3340,f4880,f4528,f3343]) ).

thf(f10870,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f31,f5411]) ).

thf(f10871,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f10870]) ).

thf(f10886,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f10871,f3707]) ).

thf(f10890,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f10886]) ).

thf(f10893,plain,
    ( ~ spl0_41
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f10890,f3706,f3639,f2110]) ).

thf(f10897,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f31,f3692]) ).

thf(f10900,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f10897]) ).

thf(f10903,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f31,f3337]) ).

thf(f10904,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f10903]) ).

thf(f10979,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_116 ),
    inference(constrained_superposition,[],[f3330,f3240]) ).

thf(f10987,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_116 ),
    inference(trivial_inequality_removal,[],[f10979]) ).

thf(f10993,plain,
    ( $false
    | ~ spl0_92
    | ~ spl0_100
    | ~ spl0_116 ),
    inference(forward_subsumption_resolution,[],[f10987,f3203]) ).

thf(f10994,plain,
    ( ~ spl0_92
    | ~ spl0_100
    | ~ spl0_116 ),
    inference(avatar_contradiction_clause,[],[f10993]) ).

thf(f10996,definition,
    ( spl0_186
  <=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

thf(f10997,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_186 ),
    inference(avatar_component_clause,[],[f10996]) ).

thf(f10999,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_186 ),
    inference(constrained_superposition,[],[f10997,f61]) ).

thf(f11001,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_186 ),
    inference(constrained_superposition,[],[f10997,f30]) ).

thf(f11002,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_186 ),
    inference(trivial_inequality_removal,[],[f10999]) ).

thf(f11004,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_186 ),
    inference(trivial_inequality_removal,[],[f11001]) ).

thf(f11005,plain,
    ( spl0_171
    | spl0_186 ),
    inference(avatar_split_clause,[],[f11002,f10996,f5418]) ).

thf(f11007,plain,
    ( spl0_141
    | spl0_171
    | spl0_186 ),
    inference(avatar_split_clause,[],[f11004,f10996,f5418,f4015]) ).

thf(f11034,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_101
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f10509,f3243]) ).

thf(f11035,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f10904,f3243]) ).

thf(f11042,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f11035]) ).

thf(f11043,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f11034]) ).

thf(f11044,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_118
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f11042,f4898]) ).

thf(f11045,plain,
    ( ~ spl0_101
    | ~ spl0_118
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f11044]) ).

thf(f11046,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f11043,f4973]) ).

thf(f11047,plain,
    ( ~ spl0_101
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f11046]) ).

thf(f11049,definition,
    ( spl0_187
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

thf(f11050,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f11049]) ).

thf(f11052,definition,
    ( spl0_188
  <=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

thf(f11053,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_188 ),
    inference(avatar_component_clause,[],[f11052]) ).

thf(f11056,definition,
    ( spl0_189
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

thf(f11057,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_189 ),
    inference(avatar_component_clause,[],[f11056]) ).

thf(f11059,definition,
    ( spl0_190
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

thf(f11060,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f11059]) ).

thf(f11070,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f10717,f135]) ).

thf(f11074,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true )
        | ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_8 ),
    inference(constrained_superposition,[],[f31,f135]) ).

thf(f11076,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f11070]) ).

thf(f11078,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
         != $true )
        | ( ( r @ X1 @ ( s @ z ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ X0 ) ) )
          = $true ) )
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f11074]) ).

thf(f11080,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_53 ),
    inference(avatar_component_clause,[],[f2235]) ).

thf(f11082,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_13 ),
    inference(avatar_component_clause,[],[f212]) ).

thf(f11084,definition,
    ( spl0_191
  <=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

thf(f11085,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_191 ),
    inference(avatar_component_clause,[],[f11084]) ).

thf(f11086,plain,
    ( ~ spl0_13
    | spl0_191
    | ~ spl0_8
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f11076,f5059,f134,f11084,f212]) ).

thf(f11089,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_8
    | spl0_13 ),
    inference(constrained_superposition,[],[f11082,f135]) ).

thf(f11090,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_8
    | spl0_13 ),
    inference(trivial_inequality_removal,[],[f11089]) ).

thf(f11091,plain,
    ( spl0_20
    | ~ spl0_8
    | spl0_13 ),
    inference(avatar_split_clause,[],[f11090,f212,f134,f236]) ).

thf(f11104,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f10900,f11060]) ).

thf(f11106,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_128
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f11104]) ).

thf(f11108,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_188 ),
    inference(constrained_superposition,[],[f11053,f35]) ).

thf(f11111,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | spl0_188 ),
    inference(trivial_inequality_removal,[],[f11108]) ).

thf(f11112,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_53 ),
    inference(constrained_superposition,[],[f11080,f135]) ).

thf(f11113,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_53 ),
    inference(trivial_inequality_removal,[],[f11112]) ).

thf(f11116,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f10900,f5419]) ).

thf(f11119,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f11116]) ).

thf(f11122,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_128
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f237,f11106]) ).

thf(f11123,plain,
    ( ~ spl0_20
    | ~ spl0_128
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f11122]) ).

thf(f11124,plain,
    ( ~ spl0_13
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f11119,f5418,f3691,f212]) ).

thf(f11126,plain,
    ( spl0_190
    | spl0_188 ),
    inference(avatar_split_clause,[],[f11111,f11052,f11059]) ).

thf(f11127,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f31,f237]) ).

thf(f11128,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f11127]) ).

thf(f11137,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_110
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f10509,f11050]) ).

thf(f11138,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f10904,f11050]) ).

thf(f11140,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f11138]) ).

thf(f11142,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_110
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f11137]) ).

thf(f11143,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_118
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f11140,f237]) ).

thf(f11144,plain,
    ( ~ spl0_20
    | ~ spl0_118
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f11143]) ).

thf(f11145,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_110
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f11142,f2250]) ).

thf(f11146,plain,
    ( ~ spl0_57
    | ~ spl0_110
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f11145]) ).

thf(f11173,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_166
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f10717,f11085]) ).

thf(f11175,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_166
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11173]) ).

thf(f11177,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_166
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f11175,f237]) ).

thf(f11178,plain,
    ( ~ spl0_20
    | ~ spl0_166
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f11177]) ).

thf(f11227,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f31,f3703]) ).

thf(f11229,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f11227]) ).

thf(f11233,definition,
    ( spl0_192
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).

thf(f11234,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_192 ),
    inference(avatar_component_clause,[],[f11233]) ).

thf(f11238,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f31,f85]) ).

thf(f11239,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f11238]) ).

thf(f11241,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(constrained_superposition,[],[f10900,f3707]) ).

thf(f11243,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(trivial_inequality_removal,[],[f11241]) ).

thf(f11254,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f31,f4881]) ).

thf(f11256,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f11254]) ).

thf(f11272,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_92
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f11234,f3203]) ).

thf(f11280,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_92
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f11272]) ).

thf(f11285,plain,
    ( ~ spl0_147
    | ~ spl0_92
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f11280,f11233,f3202,f4514]) ).

thf(f11300,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_20
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f11128,f4898]) ).

thf(f11301,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f31,f4898]) ).

thf(f11302,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_20
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f11300]) ).

thf(f11303,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f11301]) ).

thf(f11305,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_158 ),
    inference(constrained_superposition,[],[f4787,f35]) ).

thf(f11315,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_158 ),
    inference(trivial_inequality_removal,[],[f11305]) ).

thf(f11322,plain,
    ( ~ spl0_7
    | spl0_190
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f11315,f4786,f11059,f116]) ).

thf(f11342,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f10900,f3236]) ).

thf(f11343,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f31,f3236]) ).

thf(f11344,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f11343]) ).

thf(f11345,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f11342]) ).

thf(f11348,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_117 ),
    inference(constrained_superposition,[],[f3334,f35]) ).

thf(f11358,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_117 ),
    inference(trivial_inequality_removal,[],[f11348]) ).

thf(f11365,plain,
    ( ~ spl0_22
    | spl0_190
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f11358,f3333,f11059,f282]) ).

thf(f11375,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_94
    | ~ spl0_189 ),
    inference(constrained_superposition,[],[f11057,f3210]) ).

thf(f11377,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_189 ),
    inference(constrained_superposition,[],[f11057,f180]) ).

thf(f11380,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_189 ),
    inference(trivial_inequality_removal,[],[f11377]) ).

thf(f11383,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_94
    | ~ spl0_189 ),
    inference(trivial_inequality_removal,[],[f11375]) ).

thf(f11388,plain,
    ( ~ spl0_28
    | spl0_166
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f11380,f11056,f5059,f421]) ).

thf(f11389,plain,
    ( ~ spl0_107
    | ~ spl0_94
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f11383,f11056,f3209,f3298]) ).

thf(f11392,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_2
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f11239,f4881]) ).

thf(f11394,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_2
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f11392]) ).

thf(f11402,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f11302,f5082]) ).

thf(f11403,plain,
    ( ~ spl0_20
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f11402]) ).

thf(f11410,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f31,f5064]) ).

thf(f11411,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f11410]) ).

thf(f11417,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_189 ),
    inference(constrained_superposition,[],[f11057,f504]) ).

thf(f11419,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_189 ),
    inference(constrained_superposition,[],[f11057,f61]) ).

thf(f11422,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_189 ),
    inference(trivial_inequality_removal,[],[f11419]) ).

thf(f11426,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_189 ),
    inference(trivial_inequality_removal,[],[f11417]) ).

thf(f11428,plain,
    ( ~ spl0_9
    | spl0_169
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f11422,f11056,f5086,f137]) ).

thf(f11429,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f31,f5087]) ).

thf(f11430,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f11429]) ).

thf(f11465,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f11430,f11085]) ).

thf(f11466,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11465]) ).

thf(f11471,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f11466,f85]) ).

thf(f11472,plain,
    ( ~ spl0_2
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f11471]) ).

thf(f11487,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f11078,f3243]) ).

thf(f11502,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f11487]) ).

thf(f11520,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_8
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f11344,f135]) ).

thf(f11524,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f11520]) ).

thf(f11526,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_95
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f11411,f3213]) ).

thf(f11533,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f11526]) ).

thf(f11535,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_131
    | ~ spl0_167 ),
    inference(forward_subsumption_resolution,[],[f11533,f3703]) ).

thf(f11536,plain,
    ( ~ spl0_95
    | ~ spl0_131
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f11535]) ).

thf(f11537,plain,
    ( spl0_167
    | ~ spl0_42
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f11426,f11056,f2113,f5063]) ).

thf(f11545,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_151 ),
    inference(constrained_superposition,[],[f4529,f35]) ).

thf(f11551,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_151 ),
    inference(constrained_superposition,[],[f4529,f61]) ).

thf(f11555,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_151 ),
    inference(trivial_inequality_removal,[],[f11545]) ).

thf(f11559,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_151 ),
    inference(trivial_inequality_removal,[],[f11551]) ).

thf(f11560,plain,
    ( spl0_191
    | ~ spl0_188
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f11555,f4528,f11052,f11084]) ).

thf(f11567,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_161
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f11303,f11085]) ).

thf(f11570,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_161
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11567]) ).

thf(f11571,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_161
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f11570,f237]) ).

thf(f11572,plain,
    ( ~ spl0_20
    | ~ spl0_161
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f11571]) ).

thf(f11574,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_101
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f11502,f4881]) ).

thf(f11576,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_171 ),
    inference(avatar_component_clause,[],[f5418]) ).

thf(f11577,plain,
    ( spl0_187
    | ~ spl0_171
    | ~ spl0_8
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f11524,f3235,f134,f5418,f11049]) ).

thf(f11578,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_115
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f3327,f11345]) ).

thf(f11579,plain,
    ( ~ spl0_99
    | ~ spl0_115
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f11578]) ).

thf(f11580,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(forward_subsumption_resolution,[],[f2211,f11243]) ).

thf(f11581,plain,
    ( ~ spl0_46
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f11580]) ).

thf(f11582,plain,
    ( ~ spl0_186
    | spl0_169
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f11559,f4528,f5086,f10996]) ).

thf(f11583,plain,
    ( spl0_187
    | ~ spl0_8
    | ~ spl0_101
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f11574,f4880,f3242,f134,f11049]) ).

thf(f11600,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_39
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f11344,f1104]) ).

thf(f11604,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_39
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f11600]) ).

thf(f11608,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_99 ),
    inference(forward_subsumption_resolution,[],[f11604,f1104]) ).

thf(f11609,plain,
    ( ~ spl0_39
    | ~ spl0_99 ),
    inference(avatar_contradiction_clause,[],[f11608]) ).

thf(f11612,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f11229,f11060]) ).

thf(f11616,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f11612]) ).

thf(f11620,plain,
    ( spl0_57
    | ~ spl0_8
    | spl0_53 ),
    inference(avatar_split_clause,[],[f11113,f2235,f134,f2249]) ).

thf(f11621,plain,
    ( ~ spl0_57
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f11616,f11059,f3702,f2249]) ).

thf(f11637,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f11344,f11050]) ).

thf(f11639,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f11637]) ).

thf(f11641,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_187
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f11639,f11060]) ).

thf(f11642,plain,
    ( ~ spl0_99
    | ~ spl0_187
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f11641]) ).

thf(f11673,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f11078,f3554]) ).

thf(f11676,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f11673]) ).

thf(f11693,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f31,f11085]) ).

thf(f11694,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11693]) ).

thf(f11695,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f11394,f5082]) ).

thf(f11696,plain,
    ( ~ spl0_2
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f11695]) ).

thf(f11725,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_97
    | ~ spl0_120 ),
    inference(constrained_superposition,[],[f3344,f3229]) ).

thf(f11735,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_97
    | ~ spl0_120 ),
    inference(trivial_inequality_removal,[],[f11725]) ).

thf(f11743,plain,
    ( ~ spl0_135
    | ~ spl0_97
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f11735,f3343,f3228,f3721]) ).

thf(f11815,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_102
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f11694,f3247]) ).

thf(f11820,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_102
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11815]) ).

thf(f11821,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_109
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f11820,f3305]) ).

thf(f11822,plain,
    ( ~ spl0_102
    | ~ spl0_109
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f11821]) ).

thf(f11836,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_159
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f11256,f11085]) ).

thf(f11837,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_159
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f11836]) ).

thf(f11841,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_159
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f11837,f85]) ).

thf(f11842,plain,
    ( ~ spl0_2
    | ~ spl0_159
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f11841]) ).

thf(f11861,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_171 ),
    inference(constrained_superposition,[],[f11576,f135]) ).

thf(f11862,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_171 ),
    inference(trivial_inequality_removal,[],[f11861]) ).

thf(f11865,plain,
    ( ~ spl0_127
    | spl0_20
    | ~ spl0_8
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f11676,f3553,f134,f236,f3639]) ).

thf(f11867,plain,
    ( spl0_190
    | ~ spl0_8
    | spl0_171 ),
    inference(avatar_split_clause,[],[f11862,f5418,f134,f11059]) ).

thf(f11871,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_20 ),
    inference(constrained_superposition,[],[f31,f237]) ).

thf(f11872,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f11871]) ).

thf(f11880,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f31,f11060]) ).

thf(f11881,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f11880]) ).

thf(f11883,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f31,f7522]) ).

thf(f11884,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f11883]) ).

thf(f11892,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_20
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f11872,f3554]) ).

thf(f11895,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_20
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f11892]) ).

thf(f11898,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f11895,f7522]) ).

thf(f11899,plain,
    ( ~ spl0_20
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f11898]) ).

thf(f11900,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f31,f3302]) ).

thf(f11901,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f11900]) ).

thf(f11919,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_20
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f11872,f3327]) ).

thf(f11924,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_20
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f11919]) ).

thf(f11925,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f11924,f3305]) ).

thf(f11926,plain,
    ( ~ spl0_20
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(avatar_contradiction_clause,[],[f11925]) ).

thf(f11932,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f31,f3337]) ).

thf(f11933,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f11932]) ).

thf(f11965,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f11234,f180]) ).

thf(f11966,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f11234,f61]) ).

thf(f11971,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f11966]) ).

thf(f11972,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f11965]) ).

thf(f11975,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | spl0_171
    | ~ spl0_192 ),
    inference(forward_subsumption_resolution,[],[f11971,f11576]) ).

thf(f11976,plain,
    ( ~ spl0_28
    | spl0_128
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f11972,f11233,f3691,f421]) ).

thf(f11977,plain,
    ( ~ spl0_9
    | spl0_171
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f11975,f11233,f5418,f137]) ).

thf(f11978,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_132
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f11881,f3707]) ).

thf(f11982,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_132
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f11978]) ).

thf(f12026,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f11881,f3206]) ).

thf(f12033,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_93
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f12026]) ).

thf(f12034,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_168
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f12033,f5082]) ).

thf(f12035,plain,
    ( ~ spl0_93
    | ~ spl0_168
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f12034]) ).

thf(f12038,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_95 ),
    inference(constrained_superposition,[],[f31,f3213]) ).

thf(f12041,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_95 ),
    inference(trivial_inequality_removal,[],[f12038]) ).

thf(f12057,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f55,f3240]) ).

thf(f12058,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f48,f3240]) ).

thf(f12068,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f12058]) ).

thf(f12072,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ 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_100 ),
    inference(trivial_inequality_removal,[],[f12057]) ).

thf(f12074,plain,
    ( ~ spl0_147
    | spl0_187
    | spl0_189
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f12068,f3239,f11056,f11049,f4514]) ).

thf(f12076,plain,
    ( ! [X0: $i,X1: $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 @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_20
    | ~ spl0_100
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f12072,f11924]) ).

thf(f12078,plain,
    ( spl0_173
    | ~ spl0_147
    | spl0_157
    | ~ spl0_20
    | ~ spl0_100
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f12076,f3326,f3239,f236,f4554,f4514,f5634]) ).

thf(f12155,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f3548,f3240]) ).

thf(f12161,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f12155]) ).

thf(f12169,plain,
    ( ~ spl0_150
    | ~ spl0_100
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f12161,f3547,f3239,f4525]) ).

thf(f12197,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f11933,f6019]) ).

thf(f12200,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f12197]) ).

thf(f12205,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f12200,f213]) ).

thf(f12206,plain,
    ( ~ spl0_13
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f12205]) ).

thf(f12239,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f11256,f3247]) ).

thf(f12240,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f11078,f3247]) ).

thf(f12243,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f12239]) ).

thf(f12244,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f12240]) ).

thf(f12245,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f12243,f3302]) ).

thf(f12246,plain,
    ( ~ spl0_102
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f12245]) ).

thf(f12247,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f12244,f3302]) ).

thf(f12248,plain,
    ( spl0_191
    | ~ spl0_8
    | ~ spl0_102
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f12247,f3301,f3246,f134,f11084]) ).

thf(f12282,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f12283,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f12282]) ).

thf(f12304,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f31,f5082]) ).

thf(f12305,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f12304]) ).

thf(f12354,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f11881,f3236]) ).

thf(f12357,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f31,f3236]) ).

thf(f12358,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f12354]) ).

thf(f12359,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f12357]) ).

thf(f12384,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_95
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f12305,f3213]) ).

thf(f12385,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f12305,f5060]) ).

thf(f12386,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f12305,f5087]) ).

thf(f12389,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f12386]) ).

thf(f12390,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_95
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f12384]) ).

thf(f12391,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f12385]) ).

thf(f12393,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(forward_subsumption_resolution,[],[f12389,f92]) ).

thf(f12394,plain,
    ( ~ spl0_4
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(avatar_contradiction_clause,[],[f12393]) ).

thf(f12395,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f12390,f7522]) ).

thf(f12396,plain,
    ( ~ spl0_95
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f12395]) ).

thf(f12397,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f12391,f220]) ).

thf(f12398,plain,
    ( ~ spl0_15
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f12397]) ).

thf(f12513,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f55,f3250]) ).

thf(f12530,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f12513]) ).

thf(f12533,definition,
    ( spl0_193
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).

thf(f12534,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_193 ),
    inference(avatar_component_clause,[],[f12533]) ).

thf(f12536,plain,
    ( spl0_173
    | spl0_168
    | spl0_124
    | ~ spl0_106
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f12530,f3249,f3294,f3564,f5081,f5634]) ).

thf(f12543,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f12534,f504]) ).

thf(f12549,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f12543]) ).

thf(f12555,plain,
    ( ~ spl0_42
    | spl0_110
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f12549,f12533,f3308,f2113]) ).

thf(f12558,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f31,f11085]) ).

thf(f12560,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f12558]) ).

thf(f12582,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_95
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f12560,f3213]) ).

thf(f12583,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f12560,f5087]) ).

thf(f12586,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f12583]) ).

thf(f12588,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_95
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f12582]) ).

thf(f12590,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f12586,f92]) ).

thf(f12591,plain,
    ( ~ spl0_4
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f12590]) ).

thf(f12592,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_181
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f12588,f7522]) ).

thf(f12593,plain,
    ( ~ spl0_95
    | ~ spl0_181
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f12592]) ).

thf(f12604,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_109
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f12358,f3305]) ).

thf(f12605,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f12604]) ).

thf(f12607,plain,
    ( ~ spl0_48
    | ~ spl0_132
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f11982,f11059,f3706,f2217]) ).

thf(f12608,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f12283,f2250]) ).

thf(f12611,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f12608]) ).

thf(f12612,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_46
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f12611,f237]) ).

thf(f12613,plain,
    ( ~ spl0_20
    | ~ spl0_46
    | ~ spl0_57 ),
    inference(avatar_contradiction_clause,[],[f12612]) ).

thf(f12627,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f31,f2228]) ).

thf(f12629,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f12627]) ).

thf(f12664,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f12629,f2250]) ).

thf(f12665,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f12664]) ).

thf(f12668,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f12665,f237]) ).

thf(f12669,plain,
    ( ~ spl0_20
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(avatar_contradiction_clause,[],[f12668]) ).

thf(f12745,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f12359,f3243]) ).

thf(f12746,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f12359,f3309]) ).

thf(f12747,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f12359,f3337]) ).

thf(f12750,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f12745]) ).

thf(f12751,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f12747]) ).

thf(f12754,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f12746]) ).

thf(f12755,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_99
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[],[f12750,f3206]) ).

thf(f12756,plain,
    ( ~ spl0_93
    | ~ spl0_99
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f12755]) ).

thf(f12763,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_103
    | ~ spl0_189 ),
    inference(constrained_superposition,[],[f11057,f3250]) ).

thf(f12767,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_103
    | ~ spl0_189 ),
    inference(trivial_inequality_removal,[],[f12763]) ).

thf(f12776,plain,
    ( ~ spl0_106
    | ~ spl0_103
    | ~ spl0_189 ),
    inference(avatar_split_clause,[],[f12767,f11056,f3249,f3294]) ).

thf(f12817,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f2582,f3203]) ).

thf(f12820,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f483,f3203]) ).

thf(f12830,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f12820]) ).

thf(f12842,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f12817]) ).

thf(f12843,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_92
    | ~ spl0_99
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f12830,f12751]) ).

thf(f12848,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_92
    | ~ spl0_99
    | ~ spl0_110 ),
    inference(forward_subsumption_resolution,[],[f12842,f12754]) ).

thf(f12849,plain,
    ( spl0_154
    | ~ spl0_150
    | ~ spl0_92
    | ~ spl0_99
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f12843,f3336,f3235,f3202,f4525,f4542]) ).

thf(f12853,plain,
    ( spl0_153
    | ~ spl0_152
    | ~ spl0_92
    | ~ spl0_99
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f12848,f3308,f3235,f3202,f4533,f4536]) ).

thf(f12877,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f31,f3243]) ).

thf(f12880,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f12877]) ).

thf(f12967,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f5635,f35]) ).

thf(f12972,plain,
    ( ( ( 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 )
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f5635,f504]) ).

thf(f12974,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_173 ),
    inference(constrained_superposition,[],[f5635,f61]) ).

thf(f12977,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f12967]) ).

thf(f12979,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_173 ),
    inference(trivial_inequality_removal,[],[f12974]) ).

thf(f12981,plain,
    ( ( ( 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_173 ),
    inference(trivial_inequality_removal,[],[f12972]) ).

thf(f12985,definition,
    ( spl0_194
  <=> ( $true
      = ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).

thf(f12986,plain,
    ( ( $true
     != ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_194 ),
    inference(avatar_component_clause,[],[f12985]) ).

thf(f12987,plain,
    ( spl0_191
    | ~ spl0_194
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f12977,f5634,f12985,f11084]) ).

thf(f12988,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | spl0_194 ),
    inference(constrained_superposition,[],[f12986,f35]) ).

thf(f12990,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_194 ),
    inference(trivial_inequality_removal,[],[f12988]) ).

thf(f12992,plain,
    ( spl0_187
    | spl0_194 ),
    inference(avatar_split_clause,[],[f12990,f12985,f11049]) ).

thf(f12995,definition,
    ( spl0_195
  <=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).

thf(f12996,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_195 ),
    inference(avatar_component_clause,[],[f12995]) ).

thf(f12997,plain,
    ( ~ spl0_195
    | spl0_167
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f12981,f5634,f5063,f12995]) ).

thf(f12999,definition,
    ( spl0_196
  <=> ( $true
      = ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).

thf(f13000,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_196 ),
    inference(avatar_component_clause,[],[f12999]) ).

thf(f13001,plain,
    ( ~ spl0_196
    | spl0_169
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f12979,f5634,f5086,f12999]) ).

thf(f13019,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_31
    | ~ spl0_95 ),
    inference(constrained_superposition,[],[f12041,f432]) ).

thf(f13026,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_31
    | ~ spl0_95 ),
    inference(trivial_inequality_removal,[],[f13019]) ).

thf(f13031,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | spl0_128 ),
    inference(avatar_component_clause,[],[f3691]) ).

thf(f13032,plain,
    ( spl0_169
    | ~ spl0_128
    | ~ spl0_31
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f13026,f3212,f431,f3691,f5086]) ).

thf(f13056,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_108
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f11901,f11050]) ).

thf(f13057,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f31,f11050]) ).

thf(f13058,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13057]) ).

thf(f13061,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_108
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13056]) ).

thf(f13064,plain,
    ( ~ spl0_2
    | ~ spl0_108
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f13061,f11049,f3301,f84]) ).

thf(f13095,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_196 ),
    inference(constrained_superposition,[],[f13000,f61]) ).

thf(f13098,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_196 ),
    inference(trivial_inequality_removal,[],[f13095]) ).

thf(f13101,plain,
    ( spl0_175
    | spl0_196 ),
    inference(avatar_split_clause,[],[f13098,f12999,f6018]) ).

thf(f13146,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_195 ),
    inference(constrained_superposition,[],[f12996,f504]) ).

thf(f13148,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_195 ),
    inference(constrained_superposition,[],[f12996,f62]) ).

thf(f13149,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_195 ),
    inference(constrained_superposition,[],[f12996,f37]) ).

thf(f13152,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f13149]) ).

thf(f13153,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f13148]) ).

thf(f13154,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_195 ),
    inference(trivial_inequality_removal,[],[f13146]) ).

thf(f13273,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_133 ),
    inference(constrained_superposition,[],[f3710,f61]) ).

thf(f13276,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_133 ),
    inference(trivial_inequality_removal,[],[f13273]) ).

thf(f13283,plain,
    ( ~ spl0_79
    | spl0_175
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f13276,f3709,f6018,f2522]) ).

thf(f13291,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_101
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f12880,f5087]) ).

thf(f13292,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f12880,f135]) ).

thf(f13293,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f13292]) ).

thf(f13294,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f13291]) ).

thf(f13296,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_175 ),
    inference(avatar_component_clause,[],[f6018]) ).

thf(f13297,plain,
    ( spl0_191
    | ~ spl0_175
    | ~ spl0_8
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f13293,f3242,f134,f6018,f11084]) ).

thf(f13298,plain,
    ( ~ spl0_175
    | ~ spl0_101
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f13294,f5086,f3242,f6018]) ).

thf(f13301,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_103
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f3700,f3250]) ).

thf(f13319,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $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 )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_103
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f13301]) ).

thf(f13322,definition,
    ( spl0_197
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).

thf(f13323,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f13322]) ).

thf(f13326,definition,
    ( spl0_198
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).

thf(f13327,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f13326]) ).

thf(f13329,plain,
    ( spl0_198
    | ~ spl0_92
    | ~ spl0_152
    | ~ spl0_103
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f13319,f3699,f3249,f4533,f3202,f13326]) ).

thf(f13331,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_197 ),
    inference(constrained_superposition,[],[f13323,f35]) ).

thf(f13343,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_197 ),
    inference(trivial_inequality_removal,[],[f13331]) ).

thf(f13346,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | spl0_57
    | ~ spl0_197 ),
    inference(forward_subsumption_resolution,[],[f13343,f5566]) ).

thf(f13347,plain,
    ( ~ spl0_28
    | spl0_57
    | ~ spl0_197 ),
    inference(avatar_split_clause,[],[f13346,f13322,f2249,f421]) ).

thf(f13379,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( 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 )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(constrained_superposition,[],[f5052,f3250]) ).

thf(f13389,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(trivial_inequality_removal,[],[f13379]) ).

thf(f13392,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_97
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(forward_subsumption_resolution,[],[f13389,f3229]) ).

thf(f13394,definition,
    ( spl0_199
  <=> ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).

thf(f13395,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_199 ),
    inference(avatar_component_clause,[],[f13394]) ).

thf(f13396,plain,
    ( ~ spl0_134
    | spl0_199
    | ~ spl0_97
    | ~ spl0_103
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f13392,f5051,f3249,f3228,f13394,f3712]) ).

thf(f13397,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_103
    | ~ spl0_199 ),
    inference(constrained_superposition,[],[f13395,f3250]) ).

thf(f13415,plain,
    ( ( $true
     != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_103
    | ~ spl0_199 ),
    inference(trivial_inequality_removal,[],[f13397]) ).

thf(f13419,plain,
    ( ~ spl0_152
    | ~ spl0_103
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f13415,f13394,f3249,f4533]) ).

thf(f13428,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( 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 )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_183 ),
    inference(constrained_superposition,[],[f8516,f180]) ).

thf(f13436,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_183 ),
    inference(trivial_inequality_removal,[],[f13428]) ).

thf(f13440,definition,
    ( spl0_200
  <=> ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).

thf(f13441,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true ) )
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f13440]) ).

thf(f13443,plain,
    ( ~ spl0_129
    | ~ spl0_81
    | spl0_197
    | spl0_166
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f13436,f8515,f5059,f13322,f2529,f3694]) ).

thf(f13444,plain,
    ( spl0_110
    | spl0_195 ),
    inference(avatar_split_clause,[],[f13154,f12995,f3308]) ).

thf(f13449,plain,
    ( spl0_146
    | spl0_110
    | spl0_195 ),
    inference(avatar_split_clause,[],[f13152,f12995,f3308,f4270]) ).

thf(f13452,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_71
    | spl0_195 ),
    inference(forward_subsumption_resolution,[],[f13153,f3187]) ).

thf(f13453,plain,
    ( spl0_110
    | spl0_71
    | spl0_195 ),
    inference(avatar_split_clause,[],[f13452,f12995,f2342,f3308]) ).

thf(f13477,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f31,f3305]) ).

thf(f13478,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f13477]) ).

thf(f13521,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f11884,f3206]) ).

thf(f13522,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_132
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f11884,f3707]) ).

thf(f13525,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_93
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f13521]) ).

thf(f13528,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_132
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f13522]) ).

thf(f13529,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f13525,f5082]) ).

thf(f13530,plain,
    ( ~ spl0_93
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f13529]) ).

thf(f13613,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f13058,f3226]) ).

thf(f13614,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f11901,f3226]) ).

thf(f13618,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f13614]) ).

thf(f13620,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13613]) ).

thf(f13623,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_181
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f13620,f7522]) ).

thf(f13624,plain,
    ( ~ spl0_96
    | ~ spl0_181
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f13623]) ).

thf(f13626,plain,
    ( ~ spl0_127
    | ~ spl0_96
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f13618,f3301,f3225,f3639]) ).

thf(f13697,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_96
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f13478,f3226]) ).

thf(f13698,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f13478,f3337]) ).

thf(f13702,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f13698]) ).

thf(f13704,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f13697]) ).

thf(f13705,plain,
    ( $false
    | ~ spl0_15
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f13702,f220]) ).

thf(f13706,plain,
    ( ~ spl0_15
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f13705]) ).

thf(f13707,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f13704,f7522]) ).

thf(f13708,plain,
    ( ~ spl0_96
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f13707]) ).

thf(f13710,plain,
    ( ~ spl0_48
    | ~ spl0_132
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f13528,f7521,f3706,f2217]) ).

thf(f13761,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f31,f11050]) ).

thf(f13762,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13761]) ).

thf(f13836,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f12534,f180]) ).

thf(f13845,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f13836]) ).

thf(f13846,plain,
    ( spl0_118
    | ~ spl0_28
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f13845,f12533,f421,f3336]) ).

thf(f13867,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f12534,f3229]) ).

thf(f13885,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_97
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f13867]) ).

thf(f13896,plain,
    ( ~ spl0_107
    | ~ spl0_97
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f13885,f12533,f3228,f3298]) ).

thf(f13913,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f13762,f6019]) ).

thf(f13918,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13913]) ).

thf(f13921,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f13918,f92]) ).

thf(f13922,plain,
    ( ~ spl0_4
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f13921]) ).

thf(f13925,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f31,f11085]) ).

thf(f13926,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f13925]) ).

thf(f13935,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f13762,f3226]) ).

thf(f13939,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f13935]) ).

thf(f13963,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f31,f4973]) ).

thf(f13964,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f13963]) ).

thf(f13991,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_167
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f13926,f5064]) ).

thf(f13996,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_167
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f13991]) ).

thf(f13997,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_167
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f13996,f2218]) ).

thf(f13998,plain,
    ( ~ spl0_48
    | ~ spl0_167
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f13997]) ).

thf(f14008,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f55,f3203]) ).

thf(f14017,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f14008]) ).

thf(f14025,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_92
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f14017,f13939]) ).

thf(f14029,plain,
    ( spl0_151
    | spl0_157
    | ~ spl0_147
    | ~ spl0_92
    | ~ spl0_96
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f14025,f11049,f3225,f3202,f4514,f4554,f4528]) ).

thf(f14032,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(constrained_superposition,[],[f11078,f3213]) ).

thf(f14033,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_95 ),
    inference(constrained_superposition,[],[f31,f3213]) ).

thf(f14035,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(trivial_inequality_removal,[],[f14032]) ).

thf(f14036,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_95 ),
    inference(trivial_inequality_removal,[],[f14033]) ).

thf(f14042,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_111 ),
    inference(constrained_superposition,[],[f3312,f3233]) ).

thf(f14054,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_98
    | ~ spl0_111 ),
    inference(trivial_inequality_removal,[],[f14042]) ).

thf(f14057,plain,
    ( ~ spl0_134
    | ~ spl0_98
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f14054,f3311,f3232,f3712]) ).

thf(f14069,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f31,f3243]) ).

thf(f14070,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f14069]) ).

thf(f14114,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_163
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f13964,f11085]) ).

thf(f14116,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_163
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f14114]) ).

thf(f14119,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_163
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f14116,f2250]) ).

thf(f14120,plain,
    ( ~ spl0_57
    | ~ spl0_163
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f14119]) ).

thf(f14138,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f14036,f3247]) ).

thf(f14139,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(constrained_superposition,[],[f14036,f135]) ).

thf(f14140,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f14036,f11085]) ).

thf(f14142,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f14140]) ).

thf(f14143,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f14138]) ).

thf(f14144,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(trivial_inequality_removal,[],[f14139]) ).

thf(f14145,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_95
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f14070,f3213]) ).

thf(f14148,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_191 ),
    inference(constrained_superposition,[],[f14070,f11085]) ).

thf(f14149,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f14145]) ).

thf(f14150,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_191 ),
    inference(trivial_inequality_removal,[],[f14148]) ).

thf(f14153,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(forward_subsumption_resolution,[],[f14149,f3226]) ).

thf(f14154,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f14153]) ).

thf(f14155,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_187
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f14150,f11050]) ).

thf(f14156,plain,
    ( ~ spl0_101
    | ~ spl0_187
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f14155]) ).

thf(f14157,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_99
    | ~ spl0_102 ),
    inference(forward_subsumption_resolution,[],[f3236,f14143]) ).

thf(f14158,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | ~ spl0_102 ),
    inference(avatar_contradiction_clause,[],[f14157]) ).

thf(f14165,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f31,f2250]) ).

thf(f14166,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f14165]) ).

thf(f14183,plain,
    ( $false
    | ~ spl0_95
    | ~ spl0_190
    | ~ spl0_191 ),
    inference(forward_subsumption_resolution,[],[f14142,f11060]) ).

thf(f14184,plain,
    ( ~ spl0_95
    | ~ spl0_190
    | ~ spl0_191 ),
    inference(avatar_contradiction_clause,[],[f14183]) ).

thf(f14185,plain,
    ( spl0_191
    | ~ spl0_171
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f14144,f3212,f134,f5418,f11084]) ).

thf(f14186,plain,
    ( spl0_191
    | ~ spl0_127
    | ~ spl0_8
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f14035,f3212,f134,f3639,f11084]) ).

thf(f14204,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f31,f5082]) ).

thf(f14205,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f14204]) ).

thf(f14239,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_200 ),
    inference(constrained_superposition,[],[f13441,f61]) ).

thf(f14244,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_200 ),
    inference(trivial_inequality_removal,[],[f14239]) ).

thf(f14310,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f14313,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f14310]) ).

thf(f14331,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f12534,f61]) ).

thf(f14332,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f14331]) ).

thf(f14341,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(constrained_superposition,[],[f11078,f3226]) ).

thf(f14345,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(trivial_inequality_removal,[],[f14341]) ).

thf(f14347,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_99 ),
    inference(constrained_superposition,[],[f11078,f3236]) ).

thf(f14351,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_99 ),
    inference(trivial_inequality_removal,[],[f14347]) ).

thf(f14354,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f31,f5064]) ).

thf(f14355,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f14354]) ).

thf(f14359,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_167
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f14205,f5064]) ).

thf(f14367,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_167
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f14359]) ).

thf(f14370,plain,
    ( ~ spl0_48
    | ~ spl0_167
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f14367,f5081,f5063,f2217]) ).

thf(f14385,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_57
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f14166,f4973]) ).

thf(f14388,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_57
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f14385]) ).

thf(f14391,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f14388,f5082]) ).

thf(f14392,plain,
    ( ~ spl0_57
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f14391]) ).

thf(f14393,plain,
    ( ~ spl0_7
    | spl0_53
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f14244,f13440,f2235,f116]) ).

thf(f14395,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_8
    | ~ spl0_99
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f14351,f3302]) ).

thf(f14396,plain,
    ( spl0_175
    | ~ spl0_9
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f14332,f12533,f137,f6018]) ).

thf(f14398,plain,
    ( spl0_190
    | ~ spl0_8
    | ~ spl0_99
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f14395,f3301,f3235,f134,f11059]) ).

thf(f14399,plain,
    ( spl0_187
    | ~ spl0_127
    | ~ spl0_8
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f14345,f3225,f134,f3639,f11049]) ).

thf(f14410,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f31,f2250]) ).

thf(f14411,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f14410]) ).

thf(f14421,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f31,f2236]) ).

thf(f14422,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f14421]) ).

thf(f14431,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f31,f3305]) ).

thf(f14432,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f14431]) ).

thf(f14455,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f31,f11050]) ).

thf(f14456,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f14455]) ).

thf(f14480,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f31,f3692]) ).

thf(f14481,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f14480]) ).

thf(f14492,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f31,f6019]) ).

thf(f14494,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f14492]) ).

thf(f14507,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_53
    | ~ spl0_57 ),
    inference(constrained_superposition,[],[f14422,f2250]) ).

thf(f14510,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_53
    | ~ spl0_57 ),
    inference(trivial_inequality_removal,[],[f14507]) ).

thf(f14511,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_53
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f14510,f85]) ).

thf(f14512,plain,
    ( ~ spl0_2
    | ~ spl0_53
    | ~ spl0_57 ),
    inference(avatar_contradiction_clause,[],[f14511]) ).

thf(f14568,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f11234,f504]) ).

thf(f14576,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f14568]) ).

thf(f14609,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f210,f3233]) ).

thf(f14622,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f14609]) ).

thf(f14639,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_96
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f14494,f3226]) ).

thf(f14642,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f14494,f11050]) ).

thf(f14643,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f14642]) ).

thf(f14644,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f14639]) ).

thf(f14647,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f14643,f85]) ).

thf(f14648,plain,
    ( ~ spl0_2
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f14647]) ).

thf(f14649,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_127
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f14644,f5411]) ).

thf(f14650,plain,
    ( ~ spl0_96
    | ~ spl0_127
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f14649]) ).

thf(f14651,plain,
    ( spl0_126
    | spl0_116
    | spl0_123
    | ~ spl0_129
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f14622,f3232,f3694,f3553,f3329,f3577]) ).

thf(f14664,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_175 ),
    inference(constrained_superposition,[],[f13296,f135]) ).

thf(f14665,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_8
    | spl0_175 ),
    inference(trivial_inequality_removal,[],[f14664]) ).

thf(f14701,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f14481,f3206]) ).

thf(f14708,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f14701]) ).

thf(f14709,plain,
    ( $false
    | ~ spl0_93
    | ~ spl0_128
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f14708,f4898]) ).

thf(f14710,plain,
    ( ~ spl0_93
    | ~ spl0_128
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f14709]) ).

thf(f14754,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_94
    | ~ spl0_121 ),
    inference(constrained_superposition,[],[f3348,f3210]) ).

thf(f14760,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f210,f3210]) ).

thf(f14771,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_94
    | ~ spl0_121 ),
    inference(trivial_inequality_removal,[],[f14754]) ).

thf(f14777,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f14760]) ).

thf(f14782,plain,
    ( ~ spl0_147
    | ~ spl0_94
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f14771,f3347,f3209,f4514]) ).

thf(f14791,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f31,f5082]) ).

thf(f14792,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f14791]) ).

thf(f14808,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5416,f35]) ).

thf(f14816,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f14808]) ).

thf(f14835,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_101
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f14432,f3243]) ).

thf(f14839,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_101
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f14835]) ).

thf(f14841,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f14839,f5082]) ).

thf(f14842,plain,
    ( ~ spl0_101
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f14841]) ).

thf(f14843,plain,
    ( spl0_132
    | ~ spl0_42
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f14576,f11233,f2113,f3706]) ).

thf(f14863,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_57
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f14411,f3289]) ).

thf(f14867,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_57
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f14863]) ).

thf(f14869,plain,
    ( $false
    | ~ spl0_57
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f14867,f3305]) ).

thf(f14870,plain,
    ( ~ spl0_57
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f14869]) ).

thf(f14887,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f55,f3203]) ).

thf(f14895,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f14887]) ).

thf(f14929,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f76,f3240]) ).

thf(f14943,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f14929]) ).

thf(f14950,plain,
    ( ! [X0: $i,X1: $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 )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_100
    | spl0_108 ),
    inference(forward_subsumption_resolution,[],[f14943,f5407]) ).

thf(f14952,plain,
    ( spl0_155
    | spl0_173
    | ~ spl0_156
    | ~ spl0_100
    | spl0_108 ),
    inference(avatar_split_clause,[],[f14950,f3301,f3239,f4550,f5634,f4547]) ).

thf(f14954,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f14792,f3247]) ).

thf(f14956,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_102 ),
    inference(constrained_superposition,[],[f31,f3247]) ).

thf(f14957,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f14954]) ).

thf(f14960,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_102 ),
    inference(trivial_inequality_removal,[],[f14956]) ).

thf(f14961,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f14957,f3305]) ).

thf(f14962,plain,
    ( ~ spl0_102
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(avatar_contradiction_clause,[],[f14961]) ).

thf(f14965,plain,
    ( ~ spl0_7
    | spl0_191
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f14816,f5415,f11084,f116]) ).

thf(f14969,plain,
    ( spl0_113
    | spl0_151
    | spl0_161
    | ~ spl0_114
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f14777,f3209,f3323,f4897,f4528,f3320]) ).

thf(f15077,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_100
    | ~ spl0_155 ),
    inference(constrained_superposition,[],[f4548,f3240]) ).

thf(f15089,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_155 ),
    inference(trivial_inequality_removal,[],[f15077]) ).

thf(f15096,plain,
    ( ~ spl0_135
    | ~ spl0_100
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f15089,f4547,f3239,f3721]) ).

thf(f15240,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_154 ),
    inference(constrained_superposition,[],[f4543,f35]) ).

thf(f15255,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_154 ),
    inference(trivial_inequality_removal,[],[f15240]) ).

thf(f15257,plain,
    ( spl0_191
    | ~ spl0_22
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f15255,f4542,f282,f11084]) ).

thf(f15263,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f14313,f3247]) ).

thf(f15268,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f15263]) ).

thf(f15304,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_198 ),
    inference(constrained_superposition,[],[f13327,f3240]) ).

thf(f15306,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_198 ),
    inference(constrained_superposition,[],[f13327,f179]) ).

thf(f15320,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_198 ),
    inference(trivial_inequality_removal,[],[f15306]) ).

thf(f15322,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_100
    | ~ spl0_198 ),
    inference(trivial_inequality_removal,[],[f15304]) ).

thf(f15324,plain,
    ( ~ spl0_81
    | spl0_161
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f15320,f13326,f4897,f2529]) ).

thf(f15325,plain,
    ( ~ spl0_134
    | ~ spl0_100
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f15322,f13326,f3239,f3712]) ).

thf(f15329,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f14355,f5060]) ).

thf(f15330,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(constrained_superposition,[],[f14355,f5087]) ).

thf(f15331,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f14355,f135]) ).

thf(f15332,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(trivial_inequality_removal,[],[f15330]) ).

thf(f15333,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_8
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f15331]) ).

thf(f15335,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f15329]) ).

thf(f15363,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_102
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f14960,f5064]) ).

thf(f15365,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f14960,f5060]) ).

thf(f15371,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f15363]) ).

thf(f15372,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f15365]) ).

thf(f15378,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_100
    | ~ spl0_112 ),
    inference(constrained_superposition,[],[f3316,f3240]) ).

thf(f15389,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 ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_100
    | ~ spl0_112 ),
    inference(trivial_inequality_removal,[],[f15378]) ).

thf(f15391,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_94
    | ~ spl0_100
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[],[f15389,f3210]) ).

thf(f15392,plain,
    ( spl0_198
    | ~ spl0_152
    | ~ spl0_94
    | ~ spl0_100
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f15391,f3315,f3239,f3209,f4533,f13326]) ).

thf(f15447,definition,
    ( spl0_201
  <=> ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) ) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

thf(f15448,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_201 ),
    inference(avatar_component_clause,[],[f15447]) ).

thf(f15451,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_101
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f14456,f3243]) ).

thf(f15456,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_101
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f15451]) ).

thf(f15458,plain,
    ( $false
    | ~ spl0_101
    | ~ spl0_168
    | ~ spl0_187 ),
    inference(forward_subsumption_resolution,[],[f15456,f5082]) ).

thf(f15459,plain,
    ( ~ spl0_101
    | ~ spl0_168
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f15458]) ).

thf(f15461,plain,
    ( ~ spl0_53
    | spl0_191
    | ~ spl0_8
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f15333,f5063,f134,f11084,f2235]) ).

thf(f15462,plain,
    ( spl0_181
    | spl0_157
    | ~ spl0_147
    | spl0_151
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f14895,f3202,f4528,f4514,f4554,f7521]) ).

thf(f15463,plain,
    ( ~ spl0_53
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f15332,f5086,f5063,f2235]) ).

thf(f15469,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f31,f7522]) ).

thf(f15470,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f15469]) ).

thf(f15478,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f15372,f425]) ).

thf(f15480,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f14355,f425]) ).

thf(f15488,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f15478]) ).

thf(f15490,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f15480]) ).

thf(f15499,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | spl0_51 ),
    inference(avatar_component_clause,[],[f2227]) ).

thf(f15500,plain,
    ( spl0_191
    | ~ spl0_51
    | ~ spl0_29
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f15490,f5063,f424,f2227,f11084]) ).

thf(f15503,plain,
    ( ~ spl0_51
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f15335,f5063,f5059,f2227]) ).

thf(f15504,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_29
    | spl0_51 ),
    inference(constrained_superposition,[],[f15499,f425]) ).

thf(f15505,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_29
    | spl0_51 ),
    inference(trivial_inequality_removal,[],[f15504]) ).

thf(f15555,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f15470,f3236]) ).

thf(f15556,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_128
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f15470,f3692]) ).

thf(f15561,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f15555]) ).

thf(f15564,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_128
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f15556]) ).

thf(f15568,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f15561,f3305]) ).

thf(f15569,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f15568]) ).

thf(f15570,plain,
    ( ~ spl0_15
    | ~ spl0_128
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f15564,f7521,f3691,f219]) ).

thf(f15571,plain,
    ( spl0_187
    | ~ spl0_29
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f15488,f5059,f3246,f424,f11049]) ).

thf(f15572,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f3337,f15372]) ).

thf(f15573,plain,
    ( ~ spl0_102
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f15572]) ).

thf(f15574,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f3327,f15268]) ).

thf(f15575,plain,
    ( ~ spl0_102
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f15574]) ).

thf(f15576,plain,
    ( $false
    | ~ spl0_102
    | ~ spl0_110
    | ~ spl0_167 ),
    inference(forward_subsumption_resolution,[],[f3309,f15371]) ).

thf(f15577,plain,
    ( ~ spl0_102
    | ~ spl0_110
    | ~ spl0_167 ),
    inference(avatar_contradiction_clause,[],[f15576]) ).

thf(f15578,plain,
    ( spl0_187
    | ~ spl0_8
    | spl0_175 ),
    inference(avatar_split_clause,[],[f14665,f6018,f134,f11049]) ).

thf(f15580,plain,
    ( spl0_57
    | ~ spl0_29
    | spl0_51 ),
    inference(avatar_split_clause,[],[f15505,f2227,f424,f2249]) ).

thf(f15581,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(constrained_superposition,[],[f31,f213]) ).

thf(f15582,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f15581]) ).

thf(f15600,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f31,f11060]) ).

thf(f15601,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f15600]) ).

thf(f15631,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f31,f5411]) ).

thf(f15632,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f15631]) ).

thf(f15678,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f31,f3289]) ).

thf(f15680,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f15678]) ).

thf(f15706,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_161 ),
    inference(constrained_superposition,[],[f15582,f4898]) ).

thf(f15709,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_13
    | ~ spl0_161 ),
    inference(trivial_inequality_removal,[],[f15706]) ).

thf(f15710,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(forward_subsumption_resolution,[],[f15709,f4881]) ).

thf(f15711,plain,
    ( ~ spl0_13
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(avatar_contradiction_clause,[],[f15710]) ).

thf(f15731,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f15601,f5419]) ).

thf(f15733,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f15731]) ).

thf(f15735,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f15733,f92]) ).

thf(f15736,plain,
    ( ~ spl0_4
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f15735]) ).

thf(f15775,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f15632,f3692]) ).

thf(f15777,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_127
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f15632,f11060]) ).

thf(f15778,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f15775]) ).

thf(f15780,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_127
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f15777]) ).

thf(f15783,plain,
    ( ~ spl0_18
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f15778,f3691,f3639,f229]) ).

thf(f15784,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f15780,f11059,f3639,f84]) ).

thf(f15820,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f2582,f3229]) ).

thf(f15822,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f2201,f3229]) ).

thf(f15823,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f483,f3229]) ).

thf(f15826,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f162,f3229]) ).

thf(f15828,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f76,f3229]) ).

thf(f15829,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f55,f3229]) ).

thf(f15830,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f48,f3229]) ).

thf(f15832,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f32,f3229]) ).

thf(f15833,plain,
    ( ! [X0: $i] :
        ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15830]) ).

thf(f15834,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15828]) ).

thf(f15836,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15820]) ).

thf(f15837,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15826]) ).

thf(f15838,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15829]) ).

thf(f15839,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15823]) ).

thf(f15840,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15822]) ).

thf(f15844,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( 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 )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f15832]) ).

thf(f15854,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f76,f3233]) ).

thf(f15855,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( b @ X1 @ z )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f55,f3233]) ).

thf(f15869,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f15855]) ).

thf(f15870,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f15854]) ).

thf(f15931,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_187 ),
    inference(constrained_superposition,[],[f15680,f11050]) ).

thf(f15932,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_104
    | ~ spl0_187 ),
    inference(trivial_inequality_removal,[],[f15931]) ).

thf(f16026,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f15844,f3229]) ).

thf(f16030,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(duplicate_literal_removal,[],[f16026]) ).

thf(f16031,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f16030]) ).

thf(f16041,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f16031,f35]) ).

thf(f16046,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f16031,f504]) ).

thf(f16047,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f16031,f180]) ).

thf(f16048,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(constrained_superposition,[],[f16031,f61]) ).

thf(f16049,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( 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 @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f16046]) ).

thf(f16053,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f16048]) ).

thf(f16054,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f16047]) ).

thf(f16056,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_97 ),
    inference(trivial_inequality_removal,[],[f16041]) ).

thf(f16061,plain,
    ( spl0_127
    | spl0_116
    | spl0_136
    | ~ spl0_135
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f15870,f3232,f3721,f3724,f3329,f3639]) ).

thf(f16062,plain,
    ( spl0_175
    | spl0_158
    | ~ spl0_186
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f16053,f3228,f10996,f4786,f6018]) ).

thf(f16064,plain,
    ( ~ spl0_57
    | ~ spl0_104
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f15932,f11049,f3288,f2249]) ).

thf(f16066,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_105
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15836,f3228,f3291,f3311,f3308]) ).

thf(f16067,plain,
    ( spl0_121
    | spl0_109
    | ~ spl0_107
    | spl0_116
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15838,f3228,f3329,f3298,f3304,f3347]) ).

thf(f16068,plain,
    ( ~ spl0_119
    | spl0_175
    | spl0_158
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15837,f3228,f4786,f6018,f3340]) ).

thf(f16069,plain,
    ( ~ spl0_177
    | spl0_110
    | spl0_111
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f16049,f3228,f3311,f3308,f6919]) ).

thf(f16071,plain,
    ( spl0_116
    | spl0_181
    | ~ spl0_106
    | spl0_124
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f15869,f3232,f3564,f3294,f7521,f3329]) ).

thf(f16072,plain,
    ( spl0_120
    | spl0_116
    | ~ spl0_119
    | spl0_108
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15834,f3228,f3301,f3340,f3329,f3343]) ).

thf(f16077,plain,
    ( spl0_118
    | ~ spl0_176
    | spl0_117
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f16054,f3228,f3333,f6915,f3336]) ).

thf(f16078,plain,
    ( ~ spl0_114
    | spl0_118
    | spl0_117
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15839,f3228,f3333,f3336,f3323]) ).

thf(f16104,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f31,f7522]) ).

thf(f16105,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f16104]) ).

thf(f16112,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f31,f5419]) ).

thf(f16113,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f16112]) ).

thf(f16146,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f31,f3692]) ).

thf(f16147,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f16146]) ).

thf(f16202,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_171
    | ~ spl0_181 ),
    inference(constrained_superposition,[],[f16105,f5419]) ).

thf(f16208,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_171
    | ~ spl0_181 ),
    inference(trivial_inequality_removal,[],[f16202]) ).

thf(f16210,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_171
    | ~ spl0_181 ),
    inference(forward_subsumption_resolution,[],[f16208,f92]) ).

thf(f16211,plain,
    ( ~ spl0_4
    | ~ spl0_171
    | ~ spl0_181 ),
    inference(avatar_contradiction_clause,[],[f16210]) ).

thf(f16226,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f141,f30]) ).

thf(f16231,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f16226]) ).

thf(f16243,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f31,f3305]) ).

thf(f16244,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f16243]) ).

thf(f16261,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f30]) ).

thf(f16271,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f16261]) ).

thf(f16277,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f31,f3309]) ).

thf(f16278,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f16277]) ).

thf(f16302,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( 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_98 ),
    inference(constrained_superposition,[],[f2582,f3233]) ).

thf(f16304,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $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 )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f2201,f3233]) ).

thf(f16305,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f483,f3233]) ).

thf(f16308,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f162,f3233]) ).

thf(f16312,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_98 ),
    inference(constrained_superposition,[],[f48,f3233]) ).

thf(f16316,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16312]) ).

thf(f16318,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( 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 )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16302]) ).

thf(f16320,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16304]) ).

thf(f16323,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16305]) ).

thf(f16324,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_98 ),
    inference(trivial_inequality_removal,[],[f16308]) ).

thf(f16328,plain,
    ( spl0_131
    | spl0_130
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16320,f3232,f3699,f3702]) ).

thf(f16335,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_93 ),
    inference(constrained_superposition,[],[f31,f3206]) ).

thf(f16338,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_93 ),
    inference(trivial_inequality_removal,[],[f16335]) ).

thf(f16349,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_101
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f16244,f3243]) ).

thf(f16350,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f31,f3243]) ).

thf(f16351,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_101
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f16349]) ).

thf(f16352,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f16350]) ).

thf(f16369,plain,
    ( ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_116 ),
    inference(constrained_superposition,[],[f3330,f35]) ).

thf(f16375,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_116 ),
    inference(constrained_superposition,[],[f3330,f180]) ).

thf(f16376,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_116 ),
    inference(constrained_superposition,[],[f3330,f61]) ).

thf(f16378,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_116 ),
    inference(trivial_inequality_removal,[],[f16369]) ).

thf(f16380,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true
      = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_116 ),
    inference(trivial_inequality_removal,[],[f16375]) ).

thf(f16383,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_116 ),
    inference(trivial_inequality_removal,[],[f16376]) ).

thf(f16394,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f16231,f30]) ).

thf(f16396,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f16394]) ).

thf(f16400,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true ) )
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f3700,f179]) ).

thf(f16402,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f3700,f60]) ).

thf(f16404,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_130 ),
    inference(constrained_superposition,[],[f3700,f36]) ).

thf(f16409,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $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 ) ) @ X0 )
         != $true ) )
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16400]) ).

thf(f16410,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16404]) ).

thf(f16412,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_130 ),
    inference(trivial_inequality_removal,[],[f16402]) ).

thf(f16460,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_10
    | spl0_159 ),
    inference(constrained_superposition,[],[f5278,f16396]) ).

thf(f16462,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_10
    | spl0_159 ),
    inference(trivial_inequality_removal,[],[f16460]) ).

thf(f16465,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_10
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f16462,f28]) ).

thf(f16466,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_10
    | ~ spl0_101
    | ~ spl0_109
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f16465,f16351]) ).

thf(f16467,plain,
    ( spl0_160
    | ~ spl0_10
    | ~ spl0_101
    | ~ spl0_109
    | spl0_159 ),
    inference(avatar_split_clause,[],[f16466,f4880,f3304,f3242,f140,f4883]) ).

thf(f16468,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f16469,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f16468]) ).

thf(f16478,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f16271,f30]) ).

thf(f16484,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f16478]) ).

thf(f16534,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_162 ),
    inference(constrained_superposition,[],[f504,f4902]) ).

thf(f16645,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f16534,f26]) ).

thf(f16663,plain,
    ( $false
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f16645,f27]) ).

thf(f16664,plain,
    ~ spl0_162,
    inference(avatar_contradiction_clause,[],[f16663]) ).

thf(f16667,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f16668,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f16667]) ).

thf(f16669,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f16677,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f16669]) ).

thf(f16683,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f31,f3337]) ).

thf(f16684,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16683]) ).

thf(f16687,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f16668,f3289]) ).

thf(f16688,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f16687]) ).

thf(f16689,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f16688,f16484]) ).

thf(f16690,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f16689]) ).

thf(f16691,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_104
    | spl0_108 ),
    inference(forward_subsumption_resolution,[],[f16690,f5407]) ).

thf(f16692,plain,
    ( spl0_138
    | spl0_137
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_104
    | spl0_108 ),
    inference(avatar_split_clause,[],[f16691,f3301,f3288,f2210,f437,f3749,f3765]) ).

thf(f16695,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f16147,f3206]) ).

thf(f16697,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f16695]) ).

thf(f16699,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_33
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(constrained_superposition,[],[f16697,f16484]) ).

thf(f16700,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_33
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(trivial_inequality_removal,[],[f16699]) ).

thf(f16701,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_93
    | ~ spl0_128
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f16700,f5278]) ).

thf(f16702,plain,
    ( spl0_162
    | spl0_160
    | ~ spl0_33
    | ~ spl0_93
    | ~ spl0_128
    | spl0_159 ),
    inference(avatar_split_clause,[],[f16701,f4880,f3691,f3205,f437,f4883,f4901]) ).

thf(f16703,plain,
    ( spl0_122
    | ~ spl0_129
    | spl0_128
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16323,f3232,f3691,f3694,f3547]) ).

thf(f16704,plain,
    ( spl0_115
    | ~ spl0_81
    | ~ spl0_176
    | spl0_197
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16409,f3699,f13322,f6915,f2529,f3326]) ).

thf(f16739,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16684,f3309]) ).

thf(f16740,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16684,f3243]) ).

thf(f16741,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16740]) ).

thf(f16744,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16739]) ).

thf(f16750,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f16677,f30]) ).

thf(f16753,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f16750]) ).

thf(f16756,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16741,f16753]) ).

thf(f16757,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_30
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16744,f16753]) ).

thf(f16759,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_30
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16757]) ).

thf(f16761,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16756]) ).

thf(f16762,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16759,f28]) ).

thf(f16764,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16761,f16351]) ).

thf(f16765,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_72
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16762,f3190]) ).

thf(f16766,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16764,f28]) ).

thf(f16767,plain,
    ( $false
    | ~ spl0_30
    | spl0_48
    | spl0_72
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16765,f2791]) ).

thf(f16768,plain,
    ( ~ spl0_30
    | spl0_48
    | spl0_72
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f16767]) ).

thf(f16769,plain,
    ( spl0_162
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f16766,f3336,f3304,f3242,f427,f4901]) ).

thf(f16770,plain,
    ( spl0_132
    | spl0_133
    | ~ spl0_134
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16318,f3232,f3712,f3709,f3706]) ).

thf(f16795,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f31,f3703]) ).

thf(f16796,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f16795]) ).

thf(f16842,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16278,f3337]) ).

thf(f16846,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16842]) ).

thf(f16849,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f16846,f2228]) ).

thf(f16850,plain,
    ( ~ spl0_51
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f16849]) ).

thf(f16862,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_29
    | spl0_128 ),
    inference(constrained_superposition,[],[f13031,f425]) ).

thf(f16863,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f16796,f425]) ).

thf(f16864,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f16113,f425]) ).

thf(f16874,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_29
    | spl0_128 ),
    inference(trivial_inequality_removal,[],[f16862]) ).

thf(f16875,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f16863]) ).

thf(f16877,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f16864]) ).

thf(f16881,plain,
    ( spl0_190
    | ~ spl0_29
    | spl0_128 ),
    inference(avatar_split_clause,[],[f16874,f3691,f424,f11059]) ).

thf(f16882,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f16875,f2228]) ).

thf(f16883,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f16877,f230]) ).

thf(f16885,plain,
    ( spl0_190
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f16882,f3702,f2227,f424,f11059]) ).

thf(f16886,plain,
    ( spl0_190
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f16883,f5418,f424,f229,f11059]) ).

thf(f16887,plain,
    ( spl0_187
    | ~ spl0_188
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f16378,f3329,f11052,f11049]) ).

thf(f16888,plain,
    ( spl0_171
    | ~ spl0_135
    | spl0_174
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16324,f3232,f5676,f3721,f5418]) ).

thf(f16889,plain,
    ( ~ spl0_186
    | spl0_175
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f16383,f3329,f6018,f10996]) ).

thf(f16890,plain,
    ( spl0_192
    | spl0_187
    | ~ spl0_188
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f16056,f3228,f11052,f11049,f11233]) ).

thf(f16891,plain,
    ( ~ spl0_107
    | spl0_192
    | spl0_187
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15833,f3228,f11049,f11233,f3298]) ).

thf(f16892,plain,
    ( spl0_193
    | ~ spl0_106
    | spl0_190
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f16316,f3232,f11059,f3294,f12533]) ).

thf(f16893,plain,
    ( spl0_201
    | spl0_108
    | ~ spl0_79
    | ~ spl0_186
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16412,f3699,f10996,f2522,f3301,f15447]) ).

thf(f16895,plain,
    ( spl0_109
    | ~ spl0_188
    | ~ spl0_77
    | spl0_200
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f16410,f3699,f13440,f2515,f11052,f3304]) ).

thf(f16896,plain,
    ( spl0_112
    | spl0_104
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f15840,f3228,f3288,f3315]) ).

thf(f16897,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_63
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16684,f2301]) ).

thf(f16898,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f16352,f2301]) ).

thf(f16899,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_63
    | ~ spl0_93 ),
    inference(constrained_superposition,[],[f16338,f2301]) ).

thf(f16901,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f16898]) ).

thf(f16903,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_63
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f16897]) ).

thf(f16904,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_63
    | ~ spl0_93 ),
    inference(trivial_inequality_removal,[],[f16899]) ).

thf(f16905,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
     != $true )
    | spl0_110 ),
    inference(avatar_component_clause,[],[f3308]) ).

thf(f16906,plain,
    ( ~ spl0_110
    | spl0_191
    | ~ spl0_63
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f16901,f3242,f2300,f11084,f3308]) ).

thf(f16907,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | spl0_46 ),
    inference(avatar_component_clause,[],[f2210]) ).

thf(f16908,plain,
    ( spl0_187
    | ~ spl0_46
    | ~ spl0_63
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f16903,f3336,f2300,f2210,f11049]) ).

thf(f16910,plain,
    ( spl0_191
    | ~ spl0_132
    | ~ spl0_63
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f16904,f3205,f2300,f3706,f11084]) ).

thf(f16927,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f31,f11060]) ).

thf(f16928,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f16927]) ).

thf(f16933,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f141,f30]) ).

thf(f16940,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f16933]) ).

thf(f16943,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f16952,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f16943]) ).

thf(f16959,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f16469,f3302]) ).

thf(f16960,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f31,f3302]) ).

thf(f16961,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f16960]) ).

thf(f16962,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_4
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f16959]) ).

thf(f16973,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f30]) ).

thf(f16980,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f16973]) ).

thf(f17008,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_98
    | ~ spl0_192 ),
    inference(constrained_superposition,[],[f11234,f3233]) ).

thf(f17016,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_98
    | ~ spl0_192 ),
    inference(trivial_inequality_removal,[],[f17008]) ).

thf(f17021,plain,
    ( ~ spl0_106
    | ~ spl0_98
    | ~ spl0_192 ),
    inference(avatar_split_clause,[],[f17016,f11233,f3232,f3294]) ).

thf(f17029,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f16928,f3206]) ).

thf(f17032,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_93
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f17029]) ).

thf(f17034,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f31,f3289]) ).

thf(f17035,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f17034]) ).

thf(f17084,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f16940,f30]) ).

thf(f17086,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f17084]) ).

thf(f17090,plain,
    ( ( ( s @ z )
      = ( s @ ( 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_10
    | spl0_159 ),
    inference(constrained_superposition,[],[f5278,f17086]) ).

thf(f17097,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_10
    | spl0_159 ),
    inference(trivial_inequality_removal,[],[f17090]) ).

thf(f17099,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_10
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f17097,f28]) ).

thf(f17100,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_10
    | ~ spl0_93
    | spl0_159
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f17099,f17032]) ).

thf(f17101,plain,
    ( spl0_160
    | ~ spl0_10
    | ~ spl0_93
    | spl0_159
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f17100,f11059,f4880,f3205,f140,f4883]) ).

thf(f17103,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_2 ),
    inference(constrained_superposition,[],[f31,f85]) ).

thf(f17105,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f17103]) ).

thf(f17115,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f16952,f30]) ).

thf(f17117,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f17115]) ).

thf(f17121,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16741,f17117]) ).

thf(f17125,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f17121]) ).

thf(f17128,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(forward_subsumption_resolution,[],[f17125,f28]) ).

thf(f17129,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_101
    | ~ spl0_118
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f17128,f17032]) ).

thf(f17130,plain,
    ( spl0_162
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_101
    | ~ spl0_118
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f17129,f11059,f3336,f3242,f3205,f427,f4901]) ).

thf(f17135,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f16980,f30]) ).

thf(f17142,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f17135]) ).

thf(f17155,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(constrained_superposition,[],[f16741,f17142]) ).

thf(f17156,plain,
    ( ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_33
    | spl0_46 ),
    inference(constrained_superposition,[],[f16907,f17142]) ).

thf(f17158,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_33
    | spl0_46 ),
    inference(trivial_inequality_removal,[],[f17156]) ).

thf(f17160,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(trivial_inequality_removal,[],[f17155]) ).

thf(f17162,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_33
    | spl0_46
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f17158,f3190]) ).

thf(f17163,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_101
    | ~ spl0_118
    | spl0_159 ),
    inference(forward_subsumption_resolution,[],[f17160,f5278]) ).

thf(f17164,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_33
    | spl0_41
    | spl0_46
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f17162,f7517]) ).

thf(f17165,plain,
    ( spl0_162
    | spl0_160
    | ~ spl0_33
    | ~ spl0_101
    | ~ spl0_118
    | spl0_159 ),
    inference(avatar_split_clause,[],[f17163,f4880,f3336,f3242,f437,f4883,f4901]) ).

thf(f17166,plain,
    ( $false
    | ~ spl0_33
    | spl0_41
    | spl0_46
    | spl0_71
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f17164,f3187]) ).

thf(f17167,plain,
    ( ~ spl0_33
    | spl0_41
    | spl0_46
    | spl0_71
    | spl0_72 ),
    inference(avatar_contradiction_clause,[],[f17166]) ).

thf(f17169,plain,
    ( ~ spl0_176
    | spl0_118
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f16380,f3329,f3336,f6915]) ).

thf(f17199,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f31,f2228]) ).

thf(f17200,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f17199]) ).

thf(f17202,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f17209,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f17202]) ).

thf(f17214,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f17215,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f17214]) ).

thf(f17251,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_164 ),
    inference(constrained_superposition,[],[f504,f4978]) ).

thf(f17370,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f17251,f26]) ).

thf(f17377,plain,
    ( $false
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f17370,f27]) ).

thf(f17378,plain,
    ~ spl0_164,
    inference(avatar_contradiction_clause,[],[f17377]) ).

thf(f17383,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f17200,f3289]) ).

thf(f17387,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f17383]) ).

thf(f17389,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_93
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f17215,f3206]) ).

thf(f17394,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f17389]) ).

thf(f17400,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f17209,f30]) ).

thf(f17402,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f17400]) ).

thf(f17407,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f17387,f17402]) ).

thf(f17408,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f17394,f17402]) ).

thf(f17411,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f17407]) ).

thf(f17413,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f17408]) ).

thf(f17414,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[],[f17411,f28]) ).

thf(f17416,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123 ),
    inference(forward_subsumption_resolution,[],[f17413,f28]) ).

thf(f17417,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f17414,f16962]) ).

thf(f17418,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f17416,f17032]) ).

thf(f17419,plain,
    ( spl0_138
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f17417,f3301,f3288,f2227,f427,f91,f3765]) ).

thf(f17420,plain,
    ( spl0_162
    | ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f17418,f11059,f3553,f3205,f427,f4901]) ).

thf(f17421,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(constrained_superposition,[],[f17035,f425]) ).

thf(f17422,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(constrained_superposition,[],[f16961,f425]) ).

thf(f17423,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_29
    | ~ spl0_101 ),
    inference(constrained_superposition,[],[f16352,f425]) ).

thf(f17424,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(constrained_superposition,[],[f16338,f425]) ).

thf(f17430,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_29
    | ~ spl0_101 ),
    inference(trivial_inequality_removal,[],[f17423]) ).

thf(f17432,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_93 ),
    inference(trivial_inequality_removal,[],[f17424]) ).

thf(f17433,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(trivial_inequality_removal,[],[f17421]) ).

thf(f17437,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(trivial_inequality_removal,[],[f17422]) ).

thf(f17439,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_118 ),
    inference(avatar_component_clause,[],[f3336]) ).

thf(f17440,plain,
    ( spl0_191
    | ~ spl0_118
    | ~ spl0_29
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f17430,f3242,f424,f3336,f11084]) ).

thf(f17441,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f17432,f3692]) ).

thf(f17442,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(forward_subsumption_resolution,[],[f17433,f2228]) ).

thf(f17443,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(forward_subsumption_resolution,[],[f17437,f230]) ).

thf(f17444,plain,
    ( spl0_191
    | ~ spl0_29
    | ~ spl0_93
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f17441,f3691,f3205,f424,f11084]) ).

thf(f17445,plain,
    ( spl0_187
    | ~ spl0_29
    | ~ spl0_51
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f17442,f3288,f2227,f424,f11049]) ).

thf(f17446,plain,
    ( spl0_187
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f17443,f3301,f424,f229,f11049]) ).

thf(f17461,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true ) )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f2298,f30]) ).

thf(f17467,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f2298,f180]) ).

thf(f17471,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f17467]) ).

thf(f17474,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f17461]) ).

thf(f17507,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f31,f3703]) ).

thf(f17508,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f17507]) ).

thf(f17529,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f17508,f3206]) ).

thf(f17532,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f17529]) ).

thf(f17553,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true ) )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f17474,f30]) ).

thf(f17556,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f17553]) ).

thf(f17558,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f17532,f17556]) ).

thf(f17563,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f17558]) ).

thf(f17565,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f17563,f17032]) ).

thf(f17566,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f17565,f28]) ).

thf(f17567,plain,
    ( spl0_164
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f17566,f11059,f3702,f3205,f2297,f4977]) ).

thf(f17569,plain,
    ( spl0_51
    | ~ spl0_28
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f17471,f2297,f421,f2227]) ).

thf(f17592,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(constrained_superposition,[],[f31,f2228]) ).

thf(f17593,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_51 ),
    inference(trivial_inequality_removal,[],[f17592]) ).

thf(f17602,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f17508,f5419]) ).

thf(f17603,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f31,f5419]) ).

thf(f17604,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f17602]) ).

thf(f17605,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f17603]) ).

thf(f17606,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f17604,f2236]) ).

thf(f17607,plain,
    ( ~ spl0_53
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f17606]) ).

thf(f17614,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f17620,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f17614]) ).

thf(f17631,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f17620,f30]) ).

thf(f17633,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f17631]) ).

thf(f17635,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f31,f5082]) ).

thf(f17636,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f17635]) ).

thf(f17698,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_96 ),
    inference(constrained_superposition,[],[f31,f3226]) ).

thf(f17700,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_96 ),
    inference(trivial_inequality_removal,[],[f17698]) ).

thf(f17701,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f17605,f3236]) ).

thf(f17703,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f17701]) ).

thf(f17705,plain,
    ( $false
    | ~ spl0_99
    | ~ spl0_108
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[],[f17703,f3302]) ).

thf(f17706,plain,
    ( ~ spl0_99
    | ~ spl0_108
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f17705]) ).

thf(f17721,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_51
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f17593,f4973]) ).

thf(f17723,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f31,f4973]) ).

thf(f17725,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_51
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f17721]) ).

thf(f17726,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f17723]) ).

thf(f17727,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f17725,f4898]) ).

thf(f17728,plain,
    ( ~ spl0_51
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f17727]) ).

thf(f17757,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_95
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f17636,f3213]) ).

thf(f17760,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_95
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f17757]) ).

thf(f17778,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5416,f504]) ).

thf(f17779,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_170 ),
    inference(constrained_superposition,[],[f5416,f180]) ).

thf(f17785,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f17779]) ).

thf(f17788,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
     != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_170 ),
    inference(trivial_inequality_removal,[],[f17778]) ).

thf(f17795,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f483,f3240]) ).

thf(f17798,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( 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 ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f162,f3240]) ).

thf(f17811,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f17795]) ).

thf(f17815,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f17798]) ).

thf(f17836,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f32,f3250]) ).

thf(f17844,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f17836]) ).

thf(f17859,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_133 ),
    inference(constrained_superposition,[],[f3710,f35]) ).

thf(f17871,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_133 ),
    inference(trivial_inequality_removal,[],[f17859]) ).

thf(f17876,plain,
    ( ~ spl0_77
    | spl0_187
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f17871,f3709,f11049,f2515]) ).

thf(f17879,plain,
    ( ~ spl0_32
    | spl0_166
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f17785,f5415,f5059,f434]) ).

thf(f17901,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ( $true != $true )
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f16961,f3309]) ).

thf(f17903,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f17901]) ).

thf(f17907,plain,
    ( ~ spl0_69
    | spl0_167
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f17788,f5415,f5063,f2321]) ).

thf(f17908,plain,
    ( ~ spl0_41
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f17903,f3308,f3301,f2110]) ).

thf(f17929,plain,
    ( ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_122 ),
    inference(constrained_superposition,[],[f3548,f35]) ).

thf(f17941,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_122 ),
    inference(trivial_inequality_removal,[],[f17929]) ).

thf(f17946,plain,
    ( spl0_187
    | ~ spl0_22
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f17941,f3547,f282,f11049]) ).

thf(f17948,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f17950,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f17948]) ).

thf(f17955,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f17950,f3213]) ).

thf(f17956,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(constrained_superposition,[],[f17950,f5064]) ).

thf(f17959,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(trivial_inequality_removal,[],[f17956]) ).

thf(f17961,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f17955]) ).

thf(f17985,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_30
    | spl0_46 ),
    inference(constrained_superposition,[],[f16907,f17633]) ).

thf(f17986,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f17961,f17633]) ).

thf(f17987,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f17986]) ).

thf(f17988,plain,
    ( ( z
      = ( s @ ( s @ ( s @ z ) ) ) )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | spl0_46 ),
    inference(trivial_inequality_removal,[],[f17985]) ).

thf(f17991,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f17987,f28]) ).

thf(f17992,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_30
    | spl0_46 ),
    inference(forward_subsumption_resolution,[],[f17988,f28]) ).

thf(f17994,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f17991,f17760]) ).

thf(f17995,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ z ) ) )
    | ~ spl0_30
    | spl0_46
    | spl0_48 ),
    inference(forward_subsumption_resolution,[],[f17992,f2791]) ).

thf(f17996,plain,
    ( spl0_146
    | ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f17994,f5081,f5059,f3212,f427,f4270]) ).

thf(f17997,plain,
    ( $false
    | ~ spl0_30
    | spl0_46
    | spl0_48
    | spl0_72 ),
    inference(forward_subsumption_resolution,[],[f17995,f3190]) ).

thf(f17998,plain,
    ( ~ spl0_30
    | spl0_46
    | spl0_48
    | spl0_72 ),
    inference(avatar_contradiction_clause,[],[f17997]) ).

thf(f17999,plain,
    ( ~ spl0_46
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f17959,f5063,f5059,f2210]) ).

thf(f18000,plain,
    ( ~ spl0_156
    | spl0_170
    | spl0_175
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f17815,f3239,f6018,f5415,f4550]) ).

thf(f18049,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_146 ),
    inference(constrained_superposition,[],[f179,f4271]) ).

thf(f18200,plain,
    ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f18049,f27]) ).

thf(f18223,plain,
    ( $false
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f18200,f26]) ).

thf(f18224,plain,
    ~ spl0_146,
    inference(avatar_contradiction_clause,[],[f18223]) ).

thf(f18225,plain,
    ( ~ spl0_150
    | spl0_154
    | spl0_118
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f17811,f3239,f3336,f4542,f4525]) ).

thf(f18242,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | spl0_196 ),
    inference(constrained_superposition,[],[f13000,f30]) ).

thf(f18245,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | spl0_196 ),
    inference(trivial_inequality_removal,[],[f18242]) ).

thf(f18247,plain,
    ( spl0_137
    | spl0_175
    | spl0_196 ),
    inference(avatar_split_clause,[],[f18245,f12999,f6018,f3749]) ).

thf(f18255,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f31,f3327]) ).

thf(f18257,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f18255]) ).

thf(f18284,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f18257,f3226]) ).

thf(f18288,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f18284]) ).

thf(f18399,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ~ spl0_154 ),
    inference(constrained_superposition,[],[f4543,f61]) ).

thf(f18407,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_154 ),
    inference(trivial_inequality_removal,[],[f18399]) ).

thf(f18409,plain,
    ( spl0_169
    | ~ spl0_24
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f18407,f4542,f289,f5086]) ).

thf(f18435,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f17844,f180]) ).

thf(f18444,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( 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 @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f18435]) ).

thf(f18452,definition,
    ( spl0_205
  <=> ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( 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_205])],[avatar_definition]) ).

thf(f18453,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ X1 @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_205 ),
    inference(avatar_component_clause,[],[f18452]) ).

thf(f18454,plain,
    ( spl0_205
    | spl0_166
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f18444,f3249,f5059,f18452]) ).

thf(f18474,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_31
    | spl0_128 ),
    inference(constrained_superposition,[],[f13031,f432]) ).

thf(f18475,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_31
    | spl0_51 ),
    inference(constrained_superposition,[],[f15499,f432]) ).

thf(f18482,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_31
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f17636,f432]) ).

thf(f18486,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ z )
     != $true )
    | ~ spl0_31
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f18482]) ).

thf(f18490,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_31
    | spl0_128 ),
    inference(trivial_inequality_removal,[],[f18474]) ).

thf(f18493,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_31
    | spl0_51 ),
    inference(trivial_inequality_removal,[],[f18475]) ).

thf(f18494,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f18486,f220]) ).

thf(f18495,plain,
    ( $false
    | ~ spl0_31
    | spl0_128
    | spl0_171 ),
    inference(forward_subsumption_resolution,[],[f18490,f11576]) ).

thf(f18496,plain,
    ( ~ spl0_31
    | spl0_128
    | spl0_171 ),
    inference(avatar_contradiction_clause,[],[f18495]) ).

thf(f18497,plain,
    ( $false
    | ~ spl0_31
    | spl0_51
    | spl0_53 ),
    inference(forward_subsumption_resolution,[],[f18493,f11080]) ).

thf(f18498,plain,
    ( ~ spl0_31
    | spl0_51
    | spl0_53 ),
    inference(avatar_contradiction_clause,[],[f18497]) ).

thf(f18499,plain,
    ( spl0_169
    | ~ spl0_15
    | ~ spl0_31
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f18494,f5081,f431,f219,f5086]) ).

thf(f18501,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f18502,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f18501]) ).

thf(f18504,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f30]) ).

thf(f18512,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f18504]) ).

thf(f18532,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f18502,f4973]) ).

thf(f18533,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f18532]) ).

thf(f18545,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f10031,f60]) ).

thf(f18552,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f18545]) ).

thf(f18559,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f18512,f30]) ).

thf(f18563,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f18559]) ).

thf(f18579,plain,
    ( ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f18533,f18563]) ).

thf(f18580,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f18288,f18563]) ).

thf(f18582,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f18580]) ).

thf(f18584,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f18579]) ).

thf(f18585,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_96
    | ~ spl0_115
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f18582,f3640]) ).

thf(f18587,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | spl0_159
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f18584,f5278]) ).

thf(f18588,plain,
    ( spl0_146
    | spl0_141
    | ~ spl0_33
    | ~ spl0_96
    | ~ spl0_115
    | spl0_127 ),
    inference(avatar_split_clause,[],[f18585,f3639,f3326,f3225,f437,f4015,f4270]) ).

thf(f18589,plain,
    ( spl0_160
    | spl0_162
    | ~ spl0_33
    | ~ spl0_46
    | spl0_159
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f18587,f4972,f4880,f2210,f437,f4901,f4883]) ).

thf(f18590,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true ) )
    | spl0_159
    | ~ spl0_184 ),
    inference(forward_subsumption_resolution,[],[f18552,f5278]) ).

thf(f18593,plain,
    ( ~ spl0_79
    | spl0_201
    | ~ spl0_196
    | spl0_159
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f18590,f10030,f4880,f12999,f15447,f2522]) ).

thf(f18622,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_63
    | spl0_110 ),
    inference(constrained_superposition,[],[f16905,f2301]) ).

thf(f18630,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_63
    | spl0_110 ),
    inference(trivial_inequality_removal,[],[f18622]) ).

thf(f18631,plain,
    ( spl0_187
    | ~ spl0_63
    | spl0_110 ),
    inference(avatar_split_clause,[],[f18630,f3308,f2300,f11049]) ).

thf(f18658,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_171 ),
    inference(constrained_superposition,[],[f31,f5419]) ).

thf(f18659,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_171 ),
    inference(trivial_inequality_removal,[],[f18658]) ).

thf(f18660,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f18665,plain,
    ( ( ( b @ ( s @ z ) @ z )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f61]) ).

thf(f18667,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f18660]) ).

thf(f18668,plain,
    ( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f18665]) ).

thf(f18688,plain,
    ( ( $true != $true )
    | ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_201 ),
    inference(constrained_superposition,[],[f15448,f180]) ).

thf(f18697,plain,
    ( ( $true
     != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ~ spl0_201 ),
    inference(trivial_inequality_removal,[],[f18688]) ).

thf(f18715,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_163
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f17726,f5060]) ).

thf(f18717,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_163
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f18715]) ).

thf(f18730,plain,
    ( ( $true != $true )
    | ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f18659,f11060]) ).

thf(f18733,plain,
    ( ( ( r @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f18730]) ).

thf(f18734,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f18733,f85]) ).

thf(f18735,plain,
    ( ~ spl0_2
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(avatar_contradiction_clause,[],[f18734]) ).

thf(f18736,plain,
    ( spl0_13
    | ~ spl0_9
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f18668,f427,f137,f212]) ).

thf(f18737,plain,
    ( ~ spl0_24
    | spl0_51
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f18697,f15447,f2227,f289]) ).

thf(f18738,plain,
    ( ~ spl0_51
    | ~ spl0_163
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f18717,f5059,f4972,f2227]) ).

thf(f18740,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_4 ),
    inference(constrained_superposition,[],[f31,f92]) ).

thf(f18741,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f18740]) ).

thf(f18762,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f18763,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f18762]) ).

thf(f18768,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | spl0_119 ),
    inference(constrained_superposition,[],[f3341,f30]) ).

thf(f18769,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_119 ),
    inference(trivial_inequality_removal,[],[f18768]) ).

thf(f18772,plain,
    ( spl0_127
    | spl0_141
    | spl0_119 ),
    inference(avatar_split_clause,[],[f18769,f3340,f4015,f3639]) ).

thf(f18774,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(constrained_superposition,[],[f17105,f5411]) ).

thf(f18776,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(trivial_inequality_removal,[],[f18774]) ).

thf(f18784,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f18785,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f18784]) ).

thf(f18803,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f31,f5082]) ).

thf(f18804,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f18803]) ).

thf(f18817,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f2298,f30]) ).

thf(f18827,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 ) )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f18817]) ).

thf(f18841,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f18785,f3236]) ).

thf(f18845,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f18841]) ).

thf(f18849,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f2582,f3203]) ).

thf(f18851,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f2201,f3203]) ).

thf(f18852,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f483,f3203]) ).

thf(f18854,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f210,f3203]) ).

thf(f18855,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f162,f3203]) ).

thf(f18857,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f76,f3203]) ).

thf(f18858,plain,
    ( ! [X0: $i,X1: $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 @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f55,f3203]) ).

thf(f18859,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(constrained_superposition,[],[f48,f3203]) ).

thf(f18862,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18849]) ).

thf(f18864,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18852]) ).

thf(f18865,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18858]) ).

thf(f18867,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( 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 @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18855]) ).

thf(f18869,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18854]) ).

thf(f18871,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18857]) ).

thf(f18872,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
          = $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18859]) ).

thf(f18874,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_92 ),
    inference(trivial_inequality_removal,[],[f18851]) ).

thf(f18875,plain,
    ( spl0_131
    | spl0_148
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18874,f3202,f4518,f3702]) ).

thf(f18876,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f2582,f3210]) ).

thf(f18878,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( 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_94 ),
    inference(constrained_superposition,[],[f2201,f3210]) ).

thf(f18879,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f483,f3210]) ).

thf(f18881,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f210,f3210]) ).

thf(f18882,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f162,f3210]) ).

thf(f18884,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f76,f3210]) ).

thf(f18885,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f55,f3210]) ).

thf(f18886,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f48,f3210]) ).

thf(f18888,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f32,f3210]) ).

thf(f18889,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18886]) ).

thf(f18890,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 @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18879]) ).

thf(f18891,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 @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18888]) ).

thf(f18894,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18885]) ).

thf(f18895,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( 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 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18878]) ).

thf(f18896,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( 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 @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18881]) ).

thf(f18897,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18882]) ).

thf(f18898,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( 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
         != ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18876]) ).

thf(f18901,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f18884]) ).

thf(f18902,plain,
    ( spl0_167
    | spl0_111
    | ~ spl0_105
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18898,f3209,f3291,f3311,f5063]) ).

thf(f18904,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_111 ),
    inference(constrained_superposition,[],[f3312,f35]) ).

thf(f18920,plain,
    ( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
      = $true )
    | ~ spl0_111 ),
    inference(trivial_inequality_removal,[],[f18904]) ).

thf(f18921,plain,
    ( ~ spl0_77
    | spl0_190
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f18920,f3311,f11059,f2515]) ).

thf(f18932,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f18667,f30]) ).

thf(f18935,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f18932]) ).

thf(f18936,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(constrained_superposition,[],[f18804,f3247]) ).

thf(f18937,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_102
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f17726,f3247]) ).

thf(f18939,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_102
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f18937]) ).

thf(f18941,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_102
    | ~ spl0_168 ),
    inference(trivial_inequality_removal,[],[f18936]) ).

thf(f18975,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true ) )
    | ~ spl0_148 ),
    inference(constrained_superposition,[],[f4519,f60]) ).

thf(f18977,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( $true != $true )
        | ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_148 ),
    inference(constrained_superposition,[],[f4519,f36]) ).

thf(f18980,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_148 ),
    inference(trivial_inequality_removal,[],[f18975]) ).

thf(f18984,plain,
    ( ! [X0: $i] :
        ( ( ( b @ z @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_148 ),
    inference(trivial_inequality_removal,[],[f18977]) ).

thf(f19016,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_205 ),
    inference(constrained_superposition,[],[f18453,f61]) ).

thf(f19017,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true
         != ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_205 ),
    inference(trivial_inequality_removal,[],[f19016]) ).

thf(f19026,plain,
    ( ~ spl0_24
    | spl0_174
    | spl0_169
    | ~ spl0_196
    | ~ spl0_205 ),
    inference(avatar_split_clause,[],[f19017,f18452,f12999,f5086,f5676,f289]) ).

thf(f19029,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f18845,f18935]) ).

thf(f19031,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f19029]) ).

thf(f19035,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_102
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f19031,f18941]) ).

thf(f19036,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_102
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f19035,f28]) ).

thf(f19037,plain,
    ( spl0_138
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_102
    | ~ spl0_123
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f19036,f5081,f3553,f3246,f3235,f427,f3765]) ).

thf(f19038,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( z = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_62 ),
    inference(constrained_superposition,[],[f18827,f30]) ).

thf(f19040,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ ( s @ z ) ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_62 ),
    inference(trivial_inequality_removal,[],[f19038]) ).

thf(f19045,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_102
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f18939,f19040]) ).

thf(f19047,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_102
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f19045]) ).

thf(f19052,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_102
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f19047,f28]) ).

thf(f19054,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_62
    | ~ spl0_102
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f19052,f18941]) ).

thf(f19055,plain,
    ( spl0_139
    | ~ spl0_62
    | ~ spl0_102
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f19054,f5081,f4972,f3246,f2297,f3768]) ).

thf(f19056,plain,
    ( spl0_117
    | ~ spl0_114
    | spl0_166
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18890,f3209,f5059,f3323,f3333]) ).

thf(f19057,plain,
    ( spl0_154
    | spl0_128
    | ~ spl0_150
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18864,f3202,f4525,f3691,f4542]) ).

thf(f19058,plain,
    ( spl0_153
    | ~ spl0_152
    | spl0_132
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18862,f3202,f3706,f4533,f4536]) ).

thf(f19059,plain,
    ( spl0_113
    | ~ spl0_114
    | spl0_161
    | spl0_151
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18896,f3209,f4528,f4897,f3323,f3320]) ).

thf(f19060,plain,
    ( spl0_151
    | spl0_123
    | spl0_149
    | ~ spl0_150
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18869,f3202,f4525,f4522,f3553,f4528]) ).

thf(f19061,plain,
    ( spl0_165
    | spl0_163
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18895,f3209,f4972,f5051]) ).

thf(f19063,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f19073,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f19063]) ).

thf(f19075,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f30]) ).

thf(f19076,plain,
    ( ( ( b @ z @ ( s @ z ) )
     != $true )
    | ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f35]) ).

thf(f19084,plain,
    ( ( ( r @ z @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( b @ z @ ( s @ z ) )
     != $true )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f19076]) ).

thf(f19086,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f19075]) ).

thf(f19089,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_105 ),
    inference(constrained_superposition,[],[f3292,f62]) ).

thf(f19094,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ z ) ) )
    | spl0_105 ),
    inference(trivial_inequality_removal,[],[f19089]) ).

thf(f19098,plain,
    ( spl0_131
    | spl0_27
    | spl0_105 ),
    inference(avatar_split_clause,[],[f19094,f3291,f319,f3702]) ).

thf(f19101,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f18763,f3703]) ).

thf(f19103,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f19101]) ).

thf(f19105,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f17700,f3309]) ).

thf(f19106,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f31,f3309]) ).

thf(f19107,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f19105]) ).

thf(f19108,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f19106]) ).

thf(f19109,plain,
    ( ~ spl0_132
    | ~ spl0_96
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f19107,f3308,f3225,f3706]) ).

thf(f19123,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f19124,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f19123]) ).

thf(f19138,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f19108,f3226]) ).

thf(f19142,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f19138]) ).

thf(f19144,plain,
    ( $false
    | ~ spl0_96
    | ~ spl0_110
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f19142,f3703]) ).

thf(f19145,plain,
    ( ~ spl0_96
    | ~ spl0_110
    | ~ spl0_131 ),
    inference(avatar_contradiction_clause,[],[f19144]) ).

thf(f19166,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f19124,f3247]) ).

thf(f19171,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f19166]) ).

thf(f19187,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_153 ),
    inference(constrained_superposition,[],[f4537,f61]) ).

thf(f19189,plain,
    ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ~ spl0_153 ),
    inference(trivial_inequality_removal,[],[f19187]) ).

thf(f19197,plain,
    ( spl0_169
    | ~ spl0_79
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f19189,f4536,f2522,f5086]) ).

thf(f19211,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_165 ),
    inference(constrained_superposition,[],[f5052,f180]) ).

thf(f19212,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_165 ),
    inference(constrained_superposition,[],[f5052,f61]) ).

thf(f19215,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_165 ),
    inference(trivial_inequality_removal,[],[f19211]) ).

thf(f19218,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
         != $true )
        | ( ( b @ ( s @ z ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_165 ),
    inference(trivial_inequality_removal,[],[f19212]) ).

thf(f19280,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( 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 )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f18891,f3210]) ).

thf(f19288,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_94 ),
    inference(duplicate_literal_removal,[],[f19280]) ).

thf(f19289,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f19288]) ).

thf(f19303,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f19289,f35]) ).

thf(f19308,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f19289,f504]) ).

thf(f19309,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f19289,f180]) ).

thf(f19310,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_94 ),
    inference(constrained_superposition,[],[f19289,f61]) ).

thf(f19311,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f19303]) ).

thf(f19313,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( 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 ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f19308]) ).

thf(f19316,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f19310]) ).

thf(f19318,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true ) )
    | ~ spl0_94 ),
    inference(trivial_inequality_removal,[],[f19309]) ).

thf(f19321,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f19073,f30]) ).

thf(f19323,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f19321]) ).

thf(f19326,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f19103,f19323]) ).

thf(f19327,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f19171,f19323]) ).

thf(f19331,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f19327]) ).

thf(f19332,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f19326]) ).

thf(f19333,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f19331,f18941]) ).

thf(f19334,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f19332,f28]) ).

thf(f19335,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(forward_subsumption_resolution,[],[f19333,f28]) ).

thf(f19336,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_2
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_127
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f19334,f18776]) ).

thf(f19337,plain,
    ( spl0_138
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f19335,f5081,f5059,f3246,f427,f3765]) ).

thf(f19338,plain,
    ( spl0_146
    | ~ spl0_2
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_127
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f19336,f3702,f3639,f2210,f427,f84,f4270]) ).

thf(f19339,plain,
    ( spl0_201
    | spl0_159
    | ~ spl0_79
    | ~ spl0_186
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18980,f4518,f10996,f2522,f4880,f15447]) ).

thf(f19340,plain,
    ( spl0_190
    | ~ spl0_147
    | spl0_189
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18872,f3202,f11056,f4514,f11059]) ).

thf(f19341,plain,
    ( ~ spl0_7
    | spl0_20
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f19084,f437,f236,f116]) ).

thf(f19342,plain,
    ( spl0_191
    | ~ spl0_107
    | spl0_192
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18889,f3209,f11233,f3298,f11084]) ).

thf(f19343,plain,
    ( ~ spl0_188
    | spl0_191
    | spl0_192
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f19311,f3209,f11233,f11084,f11052]) ).

thf(f19344,plain,
    ( ~ spl0_119
    | spl0_159
    | spl0_120
    | spl0_151
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18901,f3209,f4528,f3343,f4880,f3340]) ).

thf(f19345,plain,
    ( spl0_171
    | ~ spl0_156
    | spl0_170
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18867,f3202,f5415,f4550,f5418]) ).

thf(f19346,plain,
    ( spl0_111
    | spl0_167
    | ~ spl0_177
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f19313,f3209,f6919,f5063,f3311]) ).

thf(f19347,plain,
    ( spl0_155
    | spl0_151
    | spl0_127
    | ~ spl0_156
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18871,f3202,f4550,f3639,f4528,f4547]) ).

thf(f19349,plain,
    ( spl0_201
    | spl0_169
    | ~ spl0_79
    | ~ spl0_119
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f19218,f5051,f3340,f2522,f5086,f15447]) ).

thf(f19350,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f19331,f28]) ).

thf(f19351,plain,
    ( spl0_181
    | ~ spl0_147
    | spl0_157
    | spl0_151
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f18865,f3202,f4528,f4554,f4514,f7521]) ).

thf(f19352,plain,
    ( spl0_146
    | spl0_181
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f19334,f3702,f2210,f427,f7521,f4270]) ).

thf(f19353,plain,
    ( spl0_121
    | spl0_151
    | ~ spl0_107
    | spl0_168
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18894,f3209,f5081,f3298,f4528,f3347]) ).

thf(f19354,plain,
    ( ~ spl0_188
    | ~ spl0_77
    | spl0_168
    | spl0_200
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18984,f4518,f13440,f5081,f2515,f11052]) ).

thf(f19355,plain,
    ( spl0_169
    | ~ spl0_119
    | spl0_158
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f18897,f3209,f4786,f3340,f5086]) ).

thf(f19356,plain,
    ( ~ spl0_186
    | spl0_158
    | spl0_169
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f19316,f3209,f5086,f4786,f10996]) ).

thf(f19365,plain,
    ( spl0_109
    | spl0_138
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f19350,f5059,f3246,f427,f3765,f3304]) ).

thf(f19386,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f31,f11060]) ).

thf(f19388,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f19386]) ).

thf(f19395,plain,
    ( ! [X0: $i] :
        ( ( ( s @ z )
          = X0 )
        | ( $true != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f141,f30]) ).

thf(f19402,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f19395]) ).

thf(f19403,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
          = $true )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_10 ),
    inference(constrained_superposition,[],[f19402,f30]) ).

thf(f19405,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 ) )
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f19403]) ).

thf(f19421,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | spl0_156 ),
    inference(constrained_superposition,[],[f4551,f30]) ).

thf(f19422,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | spl0_156 ),
    inference(trivial_inequality_removal,[],[f19421]) ).

thf(f19425,plain,
    ( spl0_159
    | spl0_160
    | spl0_156 ),
    inference(avatar_split_clause,[],[f19422,f4550,f4883,f4880]) ).

thf(f19433,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(constrained_superposition,[],[f18741,f4881]) ).

thf(f19436,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_159 ),
    inference(trivial_inequality_removal,[],[f19433]) ).

thf(f19451,plain,
    ( ( $true != $true )
    | ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_190 ),
    inference(constrained_superposition,[],[f19388,f3236]) ).

thf(f19455,plain,
    ( ( $true
     != ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ~ spl0_99
    | ~ spl0_190 ),
    inference(trivial_inequality_removal,[],[f19451]) ).

thf(f19469,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_153 ),
    inference(constrained_superposition,[],[f4537,f35]) ).

thf(f19481,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
      = $true )
    | ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
     != $true )
    | ~ spl0_153 ),
    inference(trivial_inequality_removal,[],[f19469]) ).

thf(f19486,plain,
    ( ~ spl0_77
    | spl0_191
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f19481,f4536,f11084,f2515]) ).

thf(f19507,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true != $true )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_10
    | spl0_108 ),
    inference(constrained_superposition,[],[f5407,f19405]) ).

thf(f19510,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_10
    | spl0_108 ),
    inference(trivial_inequality_removal,[],[f19507]) ).

thf(f19514,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_10
    | ~ spl0_99
    | spl0_108
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f19510,f19455]) ).

thf(f19515,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_10
    | ~ spl0_99
    | spl0_108
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f19514,f28]) ).

thf(f19516,plain,
    ( spl0_137
    | ~ spl0_10
    | ~ spl0_99
    | spl0_108
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f19515,f11059,f3301,f3235,f140,f3749]) ).

thf(f19530,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( $true != $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f19086,f30]) ).

thf(f19537,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f19530]) ).

thf(f19550,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(constrained_superposition,[],[f19103,f19537]) ).

thf(f19551,plain,
    ( ( ( s @ 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 ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_33
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f19171,f19537]) ).

thf(f19553,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(trivial_inequality_removal,[],[f19550]) ).

thf(f19555,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_102
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f19551]) ).

thf(f19556,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_46
    | spl0_127
    | ~ spl0_131 ),
    inference(forward_subsumption_resolution,[],[f19553,f3640]) ).

thf(f19558,plain,
    ( ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_102
    | spl0_108
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f19555,f5407]) ).

thf(f19559,plain,
    ( spl0_141
    | spl0_146
    | ~ spl0_33
    | ~ spl0_46
    | spl0_127
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f19556,f3702,f3639,f2210,f437,f4270,f4015]) ).

thf(f19560,plain,
    ( spl0_138
    | spl0_137
    | ~ spl0_33
    | ~ spl0_102
    | spl0_108
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f19558,f5059,f3301,f3246,f437,f3749,f3765]) ).

thf(f19565,plain,
    ( spl0_117
    | ~ spl0_176
    | spl0_166
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f19318,f3209,f5059,f6915,f3333]) ).

thf(f19566,plain,
    ( ~ spl0_114
    | ~ spl0_81
    | spl0_197
    | spl0_166
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f19215,f5051,f5059,f13322,f2529,f3323]) ).

thf(f19569,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(constrained_superposition,[],[f31,f2211]) ).

thf(f19570,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_46 ),
    inference(trivial_inequality_removal,[],[f19569]) ).

thf(f19571,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f19578,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f19571]) ).

thf(f19583,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f31,f3554]) ).

thf(f19584,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f19583]) ).

thf(f19633,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f19570,f4973]) ).

thf(f19636,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f19633]) ).

thf(f19637,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f19584,f3236]) ).

thf(f19642,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f19637]) ).

thf(f19654,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f19578,f30]) ).

thf(f19656,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( z = X0 )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f19654]) ).

thf(f19660,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f19636,f19656]) ).

thf(f19661,plain,
    ( ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(constrained_superposition,[],[f19642,f19656]) ).

thf(f19662,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
      = $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f19660]) ).

thf(f19665,plain,
    ( ( $true
      = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123 ),
    inference(trivial_inequality_removal,[],[f19661]) ).

thf(f19666,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f19662,f19436]) ).

thf(f19668,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f19665,f19455]) ).

thf(f19669,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f19666,f28]) ).

thf(f19670,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123
    | ~ spl0_190 ),
    inference(forward_subsumption_resolution,[],[f19668,f28]) ).

thf(f19671,plain,
    ( spl0_162
    | ~ spl0_4
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f19669,f4972,f4880,f2210,f427,f91,f4901]) ).

thf(f19672,plain,
    ( spl0_138
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f19670,f11059,f3553,f3235,f427,f3765]) ).

thf(f19674,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(constrained_superposition,[],[f31,f2236]) ).

thf(f19676,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ z ) )
         != $true ) )
    | ~ spl0_53 ),
    inference(trivial_inequality_removal,[],[f19674]) ).

thf(f19684,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(constrained_superposition,[],[f19676,f4973]) ).

thf(f19687,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
     != $true )
    | ~ spl0_53
    | ~ spl0_163 ),
    inference(trivial_inequality_removal,[],[f19684]) ).

thf(f19689,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f19687,f4881]) ).

thf(f19690,plain,
    ( ~ spl0_53
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f19689]) ).

thf(f19701,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl0_29
    | spl0_118 ),
    inference(constrained_superposition,[],[f17439,f425]) ).

thf(f19702,plain,
    ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ( $true != $true )
    | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_96 ),
    inference(constrained_superposition,[],[f17700,f425]) ).

thf(f19711,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | spl0_118 ),
    inference(trivial_inequality_removal,[],[f19701]) ).

thf(f19716,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
     != $true )
    | ~ spl0_29
    | ~ spl0_96 ),
    inference(trivial_inequality_removal,[],[f19702]) ).

thf(f19717,plain,
    ( spl0_187
    | ~ spl0_29
    | spl0_118 ),
    inference(avatar_split_clause,[],[f19711,f3336,f424,f11049]) ).

thf(f19718,plain,
    ( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
      = $true )
    | ~ spl0_29
    | ~ spl0_96
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f19716,f3692]) ).

thf(f19719,plain,
    ( spl0_187
    | ~ spl0_29
    | ~ spl0_96
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f19718,f3691,f3225,f424,f11049]) ).

thf(f19720,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f4898,f19636]) ).

thf(f19721,plain,
    ( ~ spl0_46
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f19720]) ).

thf(f19751,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ z )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f31,f3305]) ).

thf(f19752,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ z )
         != $true ) )
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f19751]) ).

thf(f19808,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ( $true != $true )
    | ~ spl0_96
    | ~ spl0_109 ),
    inference(constrained_superposition,[],[f19752,f3226]) ).

thf(f19809,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(constrained_superposition,[],[f19752,f3309]) ).

thf(f19810,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_109
    | ~ spl0_175 ),
    inference(constrained_superposition,[],[f19752,f6019]) ).

thf(f19811,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
     != $true )
    | ~ spl0_96
    | ~ spl0_109 ),
    inference(trivial_inequality_removal,[],[f19808]) ).

thf(f19812,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(trivial_inequality_removal,[],[f19809]) ).

thf(f19813,plain,
    ( ( ( r @ ( s @ z ) @ z )
     != $true )
    | ~ spl0_109
    | ~ spl0_175 ),
    inference(trivial_inequality_removal,[],[f19810]) ).

thf(f19814,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_109
    | ~ spl0_175 ),
    inference(forward_subsumption_resolution,[],[f19813,f92]) ).

thf(f19815,plain,
    ( ~ spl0_4
    | ~ spl0_109
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f19814]) ).

thf(f19816,plain,
    ( ~ spl0_48
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f19812,f3308,f3304,f2217]) ).

thf(f19847,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f428,f30]) ).

thf(f19855,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ z )
         != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f19847]) ).

thf(f19862,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f31,f3327]) ).

thf(f19864,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f19862]) ).

thf(f19890,plain,
    ( ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_152 ),
    inference(constrained_superposition,[],[f4534,f37]) ).

thf(f19891,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_152 ),
    inference(constrained_superposition,[],[f4534,f30]) ).

thf(f19894,plain,
    ( ( ( s @ ( s @ ( s @ z ) ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | spl0_152 ),
    inference(trivial_inequality_removal,[],[f19891]) ).

thf(f19896,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
    | spl0_152 ),
    inference(trivial_inequality_removal,[],[f19890]) ).

thf(f19898,plain,
    ( spl0_163
    | spl0_164
    | spl0_152 ),
    inference(avatar_split_clause,[],[f19894,f4533,f4977,f4972]) ).

thf(f19900,plain,
    ( spl0_163
    | spl0_138
    | spl0_152 ),
    inference(avatar_split_clause,[],[f19896,f4533,f3765,f4972]) ).

thf(f19923,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f19864,f3226]) ).

thf(f19926,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f19923]) ).

thf(f19929,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f2582,f3240]) ).

thf(f19931,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( $true != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ X1 )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f2201,f3240]) ).

thf(f19932,plain,
    ( ! [X0: $i] :
        ( ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f483,f3240]) ).

thf(f19934,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $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 @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f210,f3240]) ).

thf(f19938,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( $true != $true ) )
    | ~ spl0_100 ),
    inference(constrained_superposition,[],[f55,f3240]) ).

thf(f19942,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f19938]) ).

thf(f19945,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
          = $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f19929]) ).

thf(f19946,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f19934]) ).

thf(f19947,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f19932]) ).

thf(f19951,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
         != $true )
        | ( $true
          = ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_100 ),
    inference(trivial_inequality_removal,[],[f19931]) ).

thf(f19955,plain,
    ( spl0_104
    | spl0_184
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f19951,f3239,f10030,f3288]) ).

thf(f19956,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( 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_103 ),
    inference(constrained_superposition,[],[f2582,f3250]) ).

thf(f19958,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( 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 ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f2201,f3250]) ).

thf(f19959,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f483,f3250]) ).

thf(f19961,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( 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 @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f210,f3250]) ).

thf(f19965,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( 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 )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( $true != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f55,f3250]) ).

thf(f19966,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f48,f3250]) ).

thf(f19968,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X1 @ ( s @ ( 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 ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f32,f3250]) ).

thf(f19970,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ X2 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19968]) ).

thf(f19971,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ z )
         != $true )
        | ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19966]) ).

thf(f19972,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( 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_103 ),
    inference(trivial_inequality_removal,[],[f19956]) ).

thf(f19977,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( 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 )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
          = $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19965]) ).

thf(f19979,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $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 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19958]) ).

thf(f19980,plain,
    ( ! [X0: $i] :
        ( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
          = $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19959]) ).

thf(f19981,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( b @ X1 @ ( 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 @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f19961]) ).

thf(f20037,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_184 ),
    inference(constrained_superposition,[],[f10031,f179]) ).

thf(f20044,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ X0 )
         != $true )
        | ( ( 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 @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_184 ),
    inference(trivial_inequality_removal,[],[f20037]) ).

thf(f20053,plain,
    ( ! [X0: $i] :
        ( ( z = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( $true != $true )
        | ( ( r @ X0 @ z )
          = $true ) )
    | ~ spl0_30 ),
    inference(constrained_superposition,[],[f19855,f30]) ).

thf(f20055,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( r @ X0 @ z )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( z = X0 ) )
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f20053]) ).

thf(f20119,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 @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f19970,f3250]) ).

thf(f20127,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ X1 )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(duplicate_literal_removal,[],[f20119]) ).

thf(f20128,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ X1 @ ( 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 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f20127]) ).

thf(f20143,plain,
    ( ! [X0: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( $true != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( 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_103 ),
    inference(constrained_superposition,[],[f20128,f504]) ).

thf(f20144,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( 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 ) )
    | ~ spl0_103 ),
    inference(constrained_superposition,[],[f20128,f180]) ).

thf(f20148,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 )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
         != $true ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f20143]) ).

thf(f20155,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( 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 ) )
    | ~ spl0_103 ),
    inference(trivial_inequality_removal,[],[f20144]) ).

thf(f20159,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( $true != $true )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(constrained_superposition,[],[f19926,f20055]) ).

thf(f20162,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(trivial_inequality_removal,[],[f20159]) ).

thf(f20164,plain,
    ( ( z
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f20162,f19811]) ).

thf(f20166,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f20164,f28]) ).

thf(f20167,plain,
    ( spl0_146
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f20166,f3326,f3304,f3225,f427,f4270]) ).

thf(f20168,plain,
    ( spl0_109
    | ~ spl0_147
    | spl0_157
    | spl0_173
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f19942,f3239,f5634,f4554,f4514,f3304]) ).

thf(f20169,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
         != $true )
        | ( ( b @ X1 @ z )
         != $true )
        | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
         != $true ) )
    | ~ spl0_4
    | ~ spl0_103
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f19977,f19436]) ).

thf(f20170,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
      = $true )
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(forward_subsumption_resolution,[],[f20162,f28]) ).

thf(f20171,plain,
    ( spl0_193
    | ~ spl0_106
    | spl0_191
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f19971,f3249,f11084,f3294,f12533]) ).

thf(f20172,plain,
    ( ~ spl0_106
    | spl0_173
    | spl0_124
    | ~ spl0_4
    | ~ spl0_103
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f20169,f4880,f3249,f91,f3564,f5634,f3294]) ).

thf(f20173,plain,
    ( spl0_146
    | spl0_181
    | ~ spl0_30
    | ~ spl0_96
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f20170,f3326,f3225,f427,f7521,f4270]) ).

thf(f20174,plain,
    ( spl0_154
    | spl0_118
    | ~ spl0_150
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f19947,f3239,f4525,f3336,f4542]) ).

thf(f20175,plain,
    ( spl0_167
    | ~ spl0_195
    | spl0_133
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f20148,f3249,f3709,f12995,f5063]) ).

thf(f20178,plain,
    ( spl0_149
    | ~ spl0_150
    | spl0_173
    | spl0_115
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f19946,f3239,f3326,f5634,f4525,f4522]) ).

thf(f20179,plain,
    ( spl0_166
    | ~ spl0_129
    | spl0_122
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f19980,f3249,f3547,f3694,f5059]) ).

thf(f20180,plain,
    ( spl0_163
    | spl0_183
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f19979,f3249,f8515,f4972]) ).

thf(f20182,plain,
    ( spl0_153
    | ~ spl0_152
    | spl0_110
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f19945,f3239,f3308,f4533,f4536]) ).

thf(f20185,plain,
    ( spl0_161
    | ~ spl0_182
    | ~ spl0_81
    | spl0_197
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f20044,f10030,f13322,f2529,f8422,f4897]) ).

thf(f20186,plain,
    ( ~ spl0_182
    | spl0_122
    | spl0_166
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f20155,f3249,f5059,f3547,f8422]) ).

thf(f20187,plain,
    ( spl0_133
    | spl0_167
    | ~ spl0_134
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f19972,f3249,f3712,f5063,f3709]) ).

thf(f20188,plain,
    ( spl0_126
    | spl0_173
    | spl0_161
    | ~ spl0_129
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f19981,f3249,f3694,f4897,f5634,f3577]) ).

thf(f20203,plain,
    ( ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_41 ),
    inference(constrained_superposition,[],[f18741,f2111]) ).

thf(f20205,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
     != $true )
    | ~ spl0_4
    | ~ spl0_41 ),
    inference(trivial_inequality_removal,[],[f20203]) ).

thf(f20209,plain,
    ( ~ spl0_48
    | ~ spl0_4
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f20205,f2110,f91,f2217]) ).

thf(f20212,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( $true != $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f438,f30]) ).

thf(f20221,plain,
    ( ! [X0: $i] :
        ( ( ( b @ X0 @ ( s @ z ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f20212]) ).

thf(f20261,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | ( $true != $true )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | spl0_150 ),
    inference(constrained_superposition,[],[f4526,f30]) ).

thf(f20265,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
      = $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
    | spl0_150 ),
    inference(trivial_inequality_removal,[],[f20261]) ).

thf(f20268,plain,
    ( spl0_162
    | spl0_161
    | spl0_150 ),
    inference(avatar_split_clause,[],[f20265,f4525,f4897,f4901]) ).

thf(f20271,plain,
    ( ! [X0: $i] :
        ( ( $true != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f31,f5060]) ).

thf(f20273,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
         != $true )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
         != $true ) )
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f20271]) ).

thf(f20294,plain,
    ( ( $true != $true )
    | ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_193 ),
    inference(constrained_superposition,[],[f12534,f3240]) ).

thf(f20306,plain,
    ( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
     != $true )
    | ~ spl0_100
    | ~ spl0_193 ),
    inference(trivial_inequality_removal,[],[f20294]) ).

thf(f20307,plain,
    ( ~ spl0_147
    | ~ spl0_100
    | ~ spl0_193 ),
    inference(avatar_split_clause,[],[f20306,f12533,f3239,f4514]) ).

thf(f20327,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ( $true != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f20273,f3213]) ).

thf(f20332,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
     != $true )
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f20327]) ).

thf(f20381,plain,
    ( ! [X0: $i] :
        ( ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ z )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( $true != $true ) )
    | ~ spl0_33 ),
    inference(constrained_superposition,[],[f20221,f30]) ).

thf(f20386,plain,
    ( ! [X0: $i] :
        ( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
          = $true )
        | ( ( s @ ( s @ z ) )
          = X0 )
        | ( ( r @ X0 @ ( s @ z ) )
          = $true )
        | ( ( s @ z )
          = X0 ) )
    | ~ spl0_33 ),
    inference(trivial_inequality_removal,[],[f20381]) ).

thf(f20402,plain,
    ( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ( $true != $true )
    | ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(constrained_superposition,[],[f20332,f20386]) ).

thf(f20405,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
      = $true )
    | ~ spl0_33
    | ~ spl0_95
    | ~ spl0_166 ),
    inference(trivial_inequality_removal,[],[f20402]) ).

thf(f20408,plain,
    ( ( ( s @ ( s @ z ) )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ( ( s @ z )
      = ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
    | ~ spl0_33
    | ~ spl0_95
    | spl0_127
    | ~ spl0_166 ),
    inference(forward_subsumption_resolution,[],[f20405,f3640]) ).

thf(f20409,plain,
    ( spl0_141
    | spl0_146
    | ~ spl0_33
    | ~ spl0_95
    | spl0_127
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f20408,f5059,f3639,f3212,f437,f4270,f4015]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s4,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f142]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_9 ),
    inference(sat_conversion,[],[f155]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15
    | spl0_20 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s13,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s16,plain,
    ( spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s18,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s19,plain,
    ( spl0_13
    | spl0_24
    | spl0_27 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s20,plain,
    ( spl0_13
    | spl0_24 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s22,plain,
    ( spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s24,plain,
    ( ~ spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s25,plain,
    ( spl0_31
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s28,plain,
    ( spl0_18
    | spl0_32 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s29,plain,
    ( spl0_18
    | spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s31,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | spl0_38 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s32,plain,
    ( ~ spl0_22
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s33,plain,
    ( ~ spl0_24
    | spl0_31
    | spl0_33 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s34,plain,
    ( ~ spl0_2
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s39,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_29
    | spl0_39 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s58,plain,
    ~ spl0_27,
    inference(sat_conversion,[],[f2154]) ).

cnf(s66,plain,
    ( spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f2233]) ).

cnf(s69,plain,
    ( spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f2251]) ).

cnf(s70,plain,
    ( ~ spl0_20
    | ~ spl0_31
    | spl0_53
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2259]) ).

cnf(s73,plain,
    ( ~ spl0_42
    | spl0_62
    | spl0_63 ),
    inference(sat_conversion,[],[f2302]) ).

cnf(s78,plain,
    ( spl0_41
    | spl0_69
    | spl0_71 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s81,plain,
    ( ~ spl0_15
    | ~ spl0_46
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2382]) ).

cnf(s82,plain,
    ( spl0_42
    | spl0_48 ),
    inference(sat_conversion,[],[f2383]) ).

cnf(s90,plain,
    ( ~ spl0_9
    | spl0_53
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f2427]) ).

cnf(s94,plain,
    ( ~ spl0_42
    | ~ spl0_52
    | spl0_76 ),
    inference(sat_conversion,[],[f2497]) ).

cnf(s98,plain,
    ( spl0_57
    | spl0_77 ),
    inference(sat_conversion,[],[f2537]) ).

cnf(s102,plain,
    ( spl0_51
    | spl0_72
    | spl0_81 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s104,plain,
    ( spl0_62
    | spl0_63
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s116,plain,
    ( ~ spl0_8
    | ~ spl0_41
    | ~ spl0_63
    | spl0_83 ),
    inference(sat_conversion,[],[f2706]) ).

cnf(s145,plain,
    ( spl0_71
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f3207]) ).

cnf(s146,plain,
    ( spl0_71
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f3214]) ).

cnf(s147,plain,
    ( spl0_72
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f3230]) ).

cnf(s148,plain,
    ( spl0_72
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f3237]) ).

cnf(s149,plain,
    ( spl0_72
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f3244]) ).

cnf(s150,plain,
    ( spl0_72
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f3251]) ).

cnf(s152,plain,
    ( ~ spl0_1
    | ~ spl0_97
    | ~ spl0_107
    | spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f3306]) ).

cnf(s181,plain,
    ~ spl0_72,
    inference(sat_conversion,[],[f3585]) ).

cnf(s183,plain,
    ( spl0_72
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f3596]) ).

cnf(s184,plain,
    ( spl0_72
    | spl0_98
    | spl0_99 ),
    inference(sat_conversion,[],[f3597]) ).

cnf(s185,plain,
    ( spl0_72
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f3598]) ).

cnf(s186,plain,
    ( spl0_72
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f3599]) ).

cnf(s187,plain,
    ( ~ spl0_38
    | ~ spl0_96
    | spl0_109
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f3641]) ).

cnf(s192,plain,
    ( ~ spl0_56
    | ~ spl0_98
    | ~ spl0_106
    | ~ spl0_107
    | spl0_131 ),
    inference(sat_conversion,[],[f3715]) ).

cnf(s193,plain,
    ( ~ spl0_76
    | ~ spl0_98
    | ~ spl0_107
    | spl0_131
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3716]) ).

cnf(s198,plain,
    ( spl0_106
    | spl0_109 ),
    inference(sat_conversion,[],[f3735]) ).

cnf(s200,plain,
    ( spl0_108
    | spl0_135 ),
    inference(sat_conversion,[],[f3747]) ).

cnf(s201,plain,
    ( spl0_108
    | spl0_135
    | spl0_137 ),
    inference(sat_conversion,[],[f3751]) ).

cnf(s223,plain,
    ~ spl0_138,
    inference(sat_conversion,[],[f4020]) ).

cnf(s242,plain,
    ~ spl0_139,
    inference(sat_conversion,[],[f4266]) ).

cnf(s247,plain,
    ( spl0_115
    | spl0_129 ),
    inference(sat_conversion,[],[f4313]) ).

cnf(s249,plain,
    ( spl0_115
    | spl0_129
    | spl0_138 ),
    inference(sat_conversion,[],[f4315]) ).

cnf(s251,plain,
    ( ~ spl0_15
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f4352]) ).

cnf(s252,plain,
    ( ~ spl0_13
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f4354]) ).

cnf(s253,plain,
    ( spl0_104
    | spl0_134 ),
    inference(sat_conversion,[],[f4384]) ).

cnf(s257,plain,
    ( spl0_71
    | spl0_104
    | spl0_134 ),
    inference(sat_conversion,[],[f4389]) ).

cnf(s258,plain,
    ( ~ spl0_56
    | ~ spl0_92
    | ~ spl0_107
    | spl0_131
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f4516]) ).

cnf(s262,plain,
    ( ~ spl0_76
    | ~ spl0_92
    | ~ spl0_107
    | spl0_131
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f4540]) ).

cnf(s288,plain,
    ~ spl0_71,
    inference(sat_conversion,[],[f4810]) ).

cnf(s296,plain,
    ( spl0_71
    | spl0_92
    | spl0_93 ),
    inference(sat_conversion,[],[f4831]) ).

cnf(s297,plain,
    ( spl0_71
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f4832]) ).

cnf(s298,plain,
    ( spl0_156
    | spl0_159
    | spl0_160 ),
    inference(sat_conversion,[],[f4885]) ).

cnf(s301,plain,
    ( spl0_137
    | spl0_150
    | spl0_161 ),
    inference(sat_conversion,[],[f4899]) ).

cnf(s305,plain,
    ( ~ spl0_15
    | spl0_147
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f4941]) ).

cnf(s306,plain,
    ( spl0_138
    | spl0_152
    | spl0_163 ),
    inference(sat_conversion,[],[f4974]) ).

cnf(s312,plain,
    ( ~ spl0_56
    | ~ spl0_94
    | ~ spl0_107
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f5055]) ).

cnf(s313,plain,
    ( ~ spl0_76
    | ~ spl0_94
    | ~ spl0_105
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f5056]) ).

cnf(s324,plain,
    ( ~ spl0_1
    | ~ spl0_94
    | ~ spl0_107
    | spl0_159
    | spl0_168 ),
    inference(sat_conversion,[],[f5089]) ).

cnf(s326,plain,
    ( spl0_119
    | spl0_127 ),
    inference(sat_conversion,[],[f5099]) ).

cnf(s329,plain,
    ( spl0_114
    | spl0_123 ),
    inference(sat_conversion,[],[f5113]) ).

cnf(s330,plain,
    ( spl0_114
    | spl0_123
    | spl0_146 ),
    inference(sat_conversion,[],[f5114]) ).

cnf(s331,plain,
    ( spl0_71
    | spl0_114
    | spl0_123 ),
    inference(sat_conversion,[],[f5117]) ).

cnf(s334,plain,
    ( spl0_147
    | spl0_168 ),
    inference(sat_conversion,[],[f5158]) ).

cnf(s336,plain,
    ( ~ spl0_69
    | spl0_132
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f5188]) ).

cnf(s337,plain,
    ( ~ spl0_94
    | ~ spl0_120
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f5214]) ).

cnf(s348,plain,
    ( ~ spl0_41
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f5280]) ).

cnf(s349,plain,
    ( ~ spl0_38
    | spl0_48
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f5281]) ).

cnf(s351,plain,
    ( ~ spl0_99
    | ~ spl0_115
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f5308]) ).

cnf(s354,plain,
    ( ~ spl0_92
    | ~ spl0_156
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f5350]) ).

cnf(s358,plain,
    ( ~ spl0_92
    | ~ spl0_119
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f5404]) ).

cnf(s359,plain,
    ( ~ spl0_8
    | spl0_57
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f5408]) ).

cnf(s360,plain,
    ( ~ spl0_41
    | ~ spl0_127
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f5409]) ).

cnf(s366,plain,
    ( ~ spl0_38
    | spl0_48
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f5423]) ).

cnf(s368,plain,
    ( spl0_105
    | spl0_131 ),
    inference(sat_conversion,[],[f5430]) ).

cnf(s369,plain,
    ( spl0_27
    | spl0_105
    | spl0_131 ),
    inference(sat_conversion,[],[f5431]) ).

cnf(s375,plain,
    ( ~ spl0_41
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f5458]) ).

cnf(s376,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f5565]) ).

cnf(s381,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f5579]) ).

cnf(s388,plain,
    ( ~ spl0_103
    | ~ spl0_135
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f5681]) ).

cnf(s392,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f5771]) ).

cnf(s395,plain,
    ( ~ spl0_38
    | spl0_159
    | spl0_168
    | spl0_169 ),
    inference(sat_conversion,[],[f5824]) ).

cnf(s396,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | ~ spl0_167
    | spl0_168 ),
    inference(sat_conversion,[],[f5826]) ).

cnf(s397,plain,
    ( ~ spl0_93
    | ~ spl0_131
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f5868]) ).

cnf(s401,plain,
    ( ~ spl0_93
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f6012]) ).

cnf(s404,plain,
    ( ~ spl0_38
    | spl0_108
    | spl0_109
    | spl0_175 ),
    inference(sat_conversion,[],[f6020]) ).

cnf(s409,plain,
    ( ~ spl0_18
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f6073]) ).

cnf(s416,plain,
    ( ~ spl0_41
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f6278]) ).

cnf(s421,plain,
    ( ~ spl0_15
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f6325]) ).

cnf(s423,plain,
    ( ~ spl0_41
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f6385]) ).

cnf(s425,plain,
    ( ~ spl0_92
    | ~ spl0_114
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f6432]) ).

cnf(s430,plain,
    ( ~ spl0_92
    | ~ spl0_111
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f6490]) ).

cnf(s433,plain,
    ( spl0_53
    | spl0_79 ),
    inference(sat_conversion,[],[f6501]) ).

cnf(s435,plain,
    ( spl0_53
    | spl0_71
    | spl0_79 ),
    inference(sat_conversion,[],[f6502]) ).

cnf(s436,plain,
    ( ~ spl0_18
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f6546]) ).

cnf(s442,plain,
    ( ~ spl0_92
    | ~ spl0_117
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f6555]) ).

cnf(s448,plain,
    ( ~ spl0_41
    | ~ spl0_110
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f6688]) ).

cnf(s452,plain,
    ( ~ spl0_76
    | ~ spl0_97
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f6702]) ).

cnf(s454,plain,
    ( ~ spl0_76
    | ~ spl0_94
    | ~ spl0_105
    | ~ spl0_147
    | spl0_163 ),
    inference(sat_conversion,[],[f6704]) ).

cnf(s461,plain,
    ( ~ spl0_94
    | ~ spl0_119
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f6813]) ).

cnf(s466,plain,
    ( spl0_128
    | spl0_176 ),
    inference(sat_conversion,[],[f6931]) ).

cnf(s467,plain,
    ( spl0_128
    | spl0_146
    | spl0_176 ),
    inference(sat_conversion,[],[f6933]) ).

cnf(s469,plain,
    ( spl0_71
    | spl0_128
    | spl0_176 ),
    inference(sat_conversion,[],[f6934]) ).

cnf(s471,plain,
    ( ~ spl0_102
    | ~ spl0_108
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f6936]) ).

cnf(s474,plain,
    ( ~ spl0_101
    | ~ spl0_159
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f6941]) ).

cnf(s476,plain,
    ( ~ spl0_38
    | spl0_48
    | ~ spl0_127
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f6944]) ).

cnf(s512,plain,
    ~ spl0_137,
    inference(sat_conversion,[],[f7195]) ).

cnf(s516,plain,
    ( ~ spl0_38
    | ~ spl0_101
    | spl0_109
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f7199]) ).

cnf(s543,plain,
    ~ spl0_160,
    inference(sat_conversion,[],[f7426]) ).

cnf(s549,plain,
    ( ~ spl0_15
    | spl0_107
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f7459]) ).

cnf(s550,plain,
    ( ~ spl0_94
    | ~ spl0_113
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f7515]) ).

cnf(s552,plain,
    ( ~ spl0_38
    | ~ spl0_41
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f7518]) ).

cnf(s554,plain,
    ( ~ spl0_38
    | spl0_127
    | spl0_171
    | spl0_181 ),
    inference(sat_conversion,[],[f7523]) ).

cnf(s556,plain,
    ( ~ spl0_56
    | ~ spl0_97
    | spl0_104
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f7525]) ).

cnf(s559,plain,
    ( ~ spl0_15
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f7546]) ).

cnf(s560,plain,
    ( ~ spl0_46
    | ~ spl0_123
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f7595]) ).

cnf(s561,plain,
    ( ~ spl0_13
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f7597]) ).

cnf(s563,plain,
    ( ~ spl0_32
    | spl0_128
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f7619]) ).

cnf(s565,plain,
    ( spl0_27
    | spl0_132
    | spl0_177 ),
    inference(sat_conversion,[],[f7622]) ).

cnf(s569,plain,
    ( spl0_72
    | spl0_132
    | spl0_177 ),
    inference(sat_conversion,[],[f7626]) ).

cnf(s576,plain,
    ( ~ spl0_4
    | ~ spl0_48
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f7706]) ).

cnf(s577,plain,
    ( ~ spl0_15
    | ~ spl0_48
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f7708]) ).

cnf(s579,plain,
    ( ~ spl0_97
    | ~ spl0_106
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f7736]) ).

cnf(s580,plain,
    ( ~ spl0_4
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f7738]) ).

cnf(s583,plain,
    ( ~ spl0_2
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f7757]) ).

cnf(s584,plain,
    ( spl0_107
    | spl0_181 ),
    inference(sat_conversion,[],[f7768]) ).

cnf(s586,plain,
    ( ~ spl0_4
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f7779]) ).

cnf(s587,plain,
    ( ~ spl0_18
    | ~ spl0_51
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f7780]) ).

cnf(s589,plain,
    ( ~ spl0_4
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f7804]) ).

cnf(s593,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f7826]) ).

cnf(s594,plain,
    ( ~ spl0_46
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f7858]) ).

cnf(s595,plain,
    ( ~ spl0_51
    | ~ spl0_104
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f7864]) ).

cnf(s600,plain,
    ( ~ spl0_24
    | ~ spl0_117
    | spl0_171 ),
    inference(sat_conversion,[],[f7929]) ).

cnf(s601,plain,
    ( ~ spl0_98
    | ~ spl0_117
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f7930]) ).

cnf(s603,plain,
    ( ~ spl0_32
    | spl0_118
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f7979]) ).

cnf(s605,plain,
    ( ~ spl0_24
    | spl0_108
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f8061]) ).

cnf(s609,plain,
    ( ~ spl0_99
    | ~ spl0_104
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f8160]) ).

cnf(s611,plain,
    ( ~ spl0_101
    | ~ spl0_115
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f8211]) ).

cnf(s616,plain,
    ( ~ spl0_97
    | ~ spl0_105
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f8300]) ).

cnf(s617,plain,
    ( ~ spl0_100
    | ~ spl0_133
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f8301]) ).

cnf(s618,plain,
    ( ~ spl0_81
    | spl0_118
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f8302]) ).

cnf(s619,plain,
    ( ~ spl0_94
    | ~ spl0_114
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f8323]) ).

cnf(s620,plain,
    ( ~ spl0_94
    | ~ spl0_105
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f8360]) ).

cnf(s621,plain,
    ( ~ spl0_81
    | ~ spl0_153
    | spl0_166 ),
    inference(sat_conversion,[],[f8361]) ).

cnf(s622,plain,
    ( ~ spl0_103
    | ~ spl0_134
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f8362]) ).

cnf(s623,plain,
    ( ~ spl0_151
    | spl0_166
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f8391]) ).

cnf(s624,plain,
    ( ~ spl0_98
    | ~ spl0_103
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f8393]) ).

cnf(s625,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f8420]) ).

cnf(s626,plain,
    ( spl0_166
    | ~ spl0_173
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f8424]) ).

cnf(s637,plain,
    ( spl0_118
    | spl0_141
    | spl0_182 ),
    inference(sat_conversion,[],[f8461]) ).

cnf(s639,plain,
    ( spl0_118
    | spl0_182 ),
    inference(sat_conversion,[],[f8463]) ).

cnf(s642,plain,
    ( ~ spl0_103
    | ~ spl0_136
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f8513]) ).

cnf(s645,plain,
    ( ~ spl0_103
    | ~ spl0_135
    | spl0_136
    | spl0_159
    | spl0_173 ),
    inference(sat_conversion,[],[f8549]) ).

cnf(s649,plain,
    ( ~ spl0_93
    | ~ spl0_127
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f8571]) ).

cnf(s655,plain,
    ( ~ spl0_13
    | ~ spl0_123
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f8597]) ).

cnf(s656,plain,
    ( ~ spl0_103
    | ~ spl0_106
    | spl0_124
    | spl0_168
    | spl0_173 ),
    inference(sat_conversion,[],[f8598]) ).

cnf(s658,plain,
    ( ~ spl0_18
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f8619]) ).

cnf(s659,plain,
    ( ~ spl0_98
    | ~ spl0_107
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f8651]) ).

cnf(s660,plain,
    ( ~ spl0_103
    | ~ spl0_124
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f8652]) ).

cnf(s661,plain,
    ( ~ spl0_42
    | spl0_104
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f8653]) ).

cnf(s662,plain,
    ( ~ spl0_98
    | ~ spl0_135
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f8672]) ).

cnf(s664,plain,
    ( ~ spl0_69
    | spl0_104
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f8731]) ).

cnf(s665,plain,
    ( ~ spl0_98
    | ~ spl0_119
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f8732]) ).

cnf(s666,plain,
    ( ~ spl0_42
    | ~ spl0_157
    | spl0_163 ),
    inference(sat_conversion,[],[f8749]) ).

cnf(s667,plain,
    ( ~ spl0_97
    | ~ spl0_119
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f8768]) ).

cnf(s668,plain,
    ( ~ spl0_93
    | ~ spl0_159
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f8786]) ).

cnf(s669,plain,
    ( spl0_15
    | spl0_28 ),
    inference(sat_conversion,[],[f8788]) ).

cnf(s676,plain,
    ( ~ spl0_48
    | ~ spl0_131
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f8829]) ).

cnf(s692,plain,
    ( ~ spl0_48
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f8946]) ).

cnf(s694,plain,
    ( ~ spl0_9
    | ~ spl0_121
    | spl0_127 ),
    inference(sat_conversion,[],[f8967]) ).

cnf(s695,plain,
    ( ~ spl0_92
    | ~ spl0_107
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f9036]) ).

cnf(s700,plain,
    ( ~ spl0_48
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f9052]) ).

cnf(s709,plain,
    ( ~ spl0_99
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f9107]) ).

cnf(s710,plain,
    ( ~ spl0_53
    | ~ spl0_104
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f9123]) ).

cnf(s718,plain,
    ( ~ spl0_69
    | spl0_110
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f9215]) ).

cnf(s720,plain,
    ( ~ spl0_98
    | ~ spl0_114
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f9262]) ).

cnf(s723,plain,
    ( ~ spl0_100
    | ~ spl0_106
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f9346]) ).

cnf(s724,plain,
    ( ~ spl0_79
    | ~ spl0_111
    | spl0_171 ),
    inference(sat_conversion,[],[f9347]) ).

cnf(s729,plain,
    ( spl0_41
    | spl0_69
    | spl0_71 ),
    inference(sat_conversion,[],[f9363]) ).

cnf(s731,plain,
    ( ~ spl0_53
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f9467]) ).

cnf(s732,plain,
    ( ~ spl0_83
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f9489]) ).

cnf(s733,plain,
    ( ~ spl0_93
    | ~ spl0_169
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f9491]) ).

cnf(s735,plain,
    ( ~ spl0_101
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f9495]) ).

cnf(s743,plain,
    ( ~ spl0_24
    | ~ spl0_149
    | spl0_159 ),
    inference(sat_conversion,[],[f9601]) ).

cnf(s744,plain,
    ( ~ spl0_22
    | ~ spl0_48
    | ~ spl0_149
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f9602]) ).

cnf(s745,plain,
    ( ~ spl0_99
    | ~ spl0_171
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f9614]) ).

cnf(s756,plain,
    ( ~ spl0_13
    | ~ spl0_123
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f9678]) ).

cnf(s765,plain,
    ( ~ spl0_4
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f9708]) ).

cnf(s775,plain,
    ( ~ spl0_95
    | ~ spl0_127
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f9831]) ).

cnf(s783,plain,
    ( ~ spl0_95
    | ~ spl0_123
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f9961]) ).

cnf(s784,plain,
    ( ~ spl0_51
    | ~ spl0_128
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f9963]) ).

cnf(s786,plain,
    ( ~ spl0_51
    | ~ spl0_104
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f9976]) ).

cnf(s789,plain,
    ( ~ spl0_10
    | spl0_41
    | spl0_48
    | spl0_71 ),
    inference(sat_conversion,[],[f10026]) ).

cnf(s800,plain,
    ( ~ spl0_18
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f10041]) ).

cnf(s802,plain,
    ( ~ spl0_10
    | spl0_127
    | spl0_141
    | spl0_181 ),
    inference(sat_conversion,[],[f10044]) ).

cnf(s841,plain,
    ~ spl0_141,
    inference(sat_conversion,[],[f10265]) ).

cnf(s845,plain,
    ( ~ spl0_18
    | ~ spl0_108
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f10373]) ).

cnf(s846,plain,
    ( ~ spl0_18
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f10381]) ).

cnf(s850,plain,
    ( ~ spl0_4
    | ~ spl0_22
    | ~ spl0_108
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f10449]) ).

cnf(s851,plain,
    ( ~ spl0_41
    | ~ spl0_159
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f10459]) ).

cnf(s852,plain,
    ( ~ spl0_18
    | ~ spl0_159
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f10461]) ).

cnf(s853,plain,
    ( ~ spl0_101
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f10469]) ).

cnf(s854,plain,
    ( ~ spl0_46
    | ~ spl0_123
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f10471]) ).

cnf(s863,plain,
    ( ~ spl0_8
    | spl0_57
    | ~ spl0_132
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f10637]) ).

cnf(s865,plain,
    ( ~ spl0_8
    | spl0_57
    | ~ spl0_104
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f10643]) ).

cnf(s869,plain,
    ( ~ spl0_24
    | ~ spl0_122
    | spl0_175 ),
    inference(sat_conversion,[],[f10712]) ).

cnf(s871,plain,
    ( ~ spl0_103
    | ~ spl0_129
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f10758]) ).

cnf(s875,plain,
    ( ~ spl0_8
    | spl0_20
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f10806]) ).

cnf(s877,plain,
    ( ~ spl0_103
    | ~ spl0_135
    | spl0_169
    | spl0_174 ),
    inference(sat_conversion,[],[f10811]) ).

cnf(s884,plain,
    ( ~ spl0_8
    | spl0_20
    | ~ spl0_108
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f10849]) ).

cnf(s885,plain,
    ( ~ spl0_94
    | ~ spl0_119
    | spl0_120
    | spl0_151
    | spl0_159 ),
    inference(sat_conversion,[],[f10850]) ).

cnf(s891,plain,
    ( ~ spl0_41
    | ~ spl0_127
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f10893]) ).

cnf(s896,plain,
    ( ~ spl0_92
    | ~ spl0_100
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f10994]) ).

cnf(s898,plain,
    ( spl0_171
    | spl0_186 ),
    inference(sat_conversion,[],[f11005]) ).

cnf(s899,plain,
    ( spl0_141
    | spl0_171
    | spl0_186 ),
    inference(sat_conversion,[],[f11007]) ).

cnf(s901,plain,
    ( ~ spl0_101
    | ~ spl0_118
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f11045]) ).

cnf(s902,plain,
    ( ~ spl0_101
    | ~ spl0_110
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f11047]) ).

cnf(s906,plain,
    ( ~ spl0_8
    | ~ spl0_13
    | ~ spl0_166
    | spl0_191 ),
    inference(sat_conversion,[],[f11086]) ).

cnf(s909,plain,
    ( ~ spl0_8
    | spl0_13
    | spl0_20 ),
    inference(sat_conversion,[],[f11091]) ).

cnf(s914,plain,
    ( ~ spl0_20
    | ~ spl0_128
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f11123]) ).

cnf(s915,plain,
    ( ~ spl0_13
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f11124]) ).

cnf(s916,plain,
    ( spl0_188
    | spl0_190 ),
    inference(sat_conversion,[],[f11126]) ).

cnf(s918,plain,
    ( ~ spl0_20
    | ~ spl0_118
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f11144]) ).

cnf(s919,plain,
    ( ~ spl0_57
    | ~ spl0_110
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f11146]) ).

cnf(s922,plain,
    ( ~ spl0_20
    | ~ spl0_166
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f11178]) ).

cnf(s935,plain,
    ( ~ spl0_92
    | ~ spl0_147
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f11285]) ).

cnf(s941,plain,
    ( ~ spl0_7
    | ~ spl0_158
    | spl0_190 ),
    inference(sat_conversion,[],[f11322]) ).

cnf(s942,plain,
    ( ~ spl0_22
    | ~ spl0_117
    | spl0_190 ),
    inference(sat_conversion,[],[f11365]) ).

cnf(s943,plain,
    ( ~ spl0_28
    | spl0_166
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f11388]) ).

cnf(s944,plain,
    ( ~ spl0_94
    | ~ spl0_107
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f11389]) ).

cnf(s948,plain,
    ( ~ spl0_20
    | ~ spl0_161
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f11403]) ).

cnf(s949,plain,
    ( ~ spl0_9
    | spl0_169
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f11428]) ).

cnf(s950,plain,
    ( ~ spl0_2
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f11472]) ).

cnf(s951,plain,
    ( ~ spl0_95
    | ~ spl0_131
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f11536]) ).

cnf(s952,plain,
    ( ~ spl0_42
    | spl0_167
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f11537]) ).

cnf(s953,plain,
    ( ~ spl0_151
    | ~ spl0_188
    | spl0_191 ),
    inference(sat_conversion,[],[f11560]) ).

cnf(s954,plain,
    ( ~ spl0_20
    | ~ spl0_161
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f11572]) ).

cnf(s957,plain,
    ( ~ spl0_8
    | ~ spl0_99
    | ~ spl0_171
    | spl0_187 ),
    inference(sat_conversion,[],[f11577]) ).

cnf(s958,plain,
    ( ~ spl0_99
    | ~ spl0_115
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f11579]) ).

cnf(s959,plain,
    ( ~ spl0_46
    | ~ spl0_128
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f11581]) ).

cnf(s960,plain,
    ( ~ spl0_151
    | spl0_169
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f11582]) ).

cnf(s961,plain,
    ( ~ spl0_8
    | ~ spl0_101
    | ~ spl0_159
    | spl0_187 ),
    inference(sat_conversion,[],[f11583]) ).

cnf(s962,plain,
    ( ~ spl0_39
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f11609]) ).

cnf(s965,plain,
    ( ~ spl0_8
    | spl0_53
    | spl0_57 ),
    inference(sat_conversion,[],[f11620]) ).

cnf(s966,plain,
    ( ~ spl0_57
    | ~ spl0_131
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f11621]) ).

cnf(s969,plain,
    ( ~ spl0_99
    | ~ spl0_187
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f11642]) ).

cnf(s974,plain,
    ( ~ spl0_2
    | ~ spl0_159
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f11696]) ).

cnf(s975,plain,
    ( ~ spl0_97
    | ~ spl0_120
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f11743]) ).

cnf(s985,plain,
    ( ~ spl0_102
    | ~ spl0_109
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f11822]) ).

cnf(s986,plain,
    ( ~ spl0_2
    | ~ spl0_159
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f11842]) ).

cnf(s988,plain,
    ( ~ spl0_8
    | spl0_20
    | ~ spl0_123
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f11865]) ).

cnf(s989,plain,
    ( ~ spl0_8
    | spl0_171
    | spl0_190 ),
    inference(sat_conversion,[],[f11867]) ).

cnf(s995,plain,
    ( ~ spl0_20
    | ~ spl0_123
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f11899]) ).

cnf(s998,plain,
    ( ~ spl0_20
    | ~ spl0_109
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f11926]) ).

cnf(s999,plain,
    ( ~ spl0_28
    | spl0_128
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f11976]) ).

cnf(s1000,plain,
    ( ~ spl0_9
    | spl0_171
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f11977]) ).

cnf(s1001,plain,
    ( ~ spl0_93
    | ~ spl0_168
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f12035]) ).

cnf(s1002,plain,
    ( ~ spl0_100
    | ~ spl0_147
    | spl0_187
    | spl0_189 ),
    inference(sat_conversion,[],[f12074]) ).

cnf(s1005,plain,
    ( ~ spl0_20
    | ~ spl0_100
    | ~ spl0_115
    | ~ spl0_147
    | spl0_157
    | spl0_173 ),
    inference(sat_conversion,[],[f12078]) ).

cnf(s1010,plain,
    ( ~ spl0_100
    | ~ spl0_122
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f12169]) ).

cnf(s1013,plain,
    ( ~ spl0_13
    | ~ spl0_118
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f12206]) ).

cnf(s1014,plain,
    ( ~ spl0_102
    | ~ spl0_108
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f12246]) ).

cnf(s1015,plain,
    ( ~ spl0_8
    | ~ spl0_102
    | ~ spl0_108
    | spl0_191 ),
    inference(sat_conversion,[],[f12248]) ).

cnf(s1025,plain,
    ( ~ spl0_4
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f12394]) ).

cnf(s1026,plain,
    ( ~ spl0_95
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f12396]) ).

cnf(s1027,plain,
    ( ~ spl0_15
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f12398]) ).

cnf(s1040,plain,
    ( ~ spl0_103
    | ~ spl0_106
    | spl0_124
    | spl0_168
    | spl0_173 ),
    inference(sat_conversion,[],[f12536]) ).

cnf(s1041,plain,
    ( ~ spl0_42
    | spl0_110
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f12555]) ).

cnf(s1043,plain,
    ( ~ spl0_4
    | ~ spl0_169
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f12591]) ).

cnf(s1044,plain,
    ( ~ spl0_95
    | ~ spl0_181
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f12593]) ).

cnf(s1049,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f12605]) ).

cnf(s1051,plain,
    ( ~ spl0_48
    | ~ spl0_132
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f12607]) ).

cnf(s1052,plain,
    ( ~ spl0_20
    | ~ spl0_46
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f12613]) ).

cnf(s1053,plain,
    ( ~ spl0_20
    | ~ spl0_51
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f12669]) ).

cnf(s1054,plain,
    ( ~ spl0_93
    | ~ spl0_99
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f12756]) ).

cnf(s1056,plain,
    ( ~ spl0_103
    | ~ spl0_106
    | ~ spl0_189 ),
    inference(sat_conversion,[],[f12776]) ).

cnf(s1058,plain,
    ( ~ spl0_92
    | ~ spl0_99
    | ~ spl0_118
    | ~ spl0_150
    | spl0_154 ),
    inference(sat_conversion,[],[f12849]) ).

cnf(s1062,plain,
    ( ~ spl0_92
    | ~ spl0_99
    | ~ spl0_110
    | ~ spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f12853]) ).

cnf(s1063,plain,
    ( ~ spl0_173
    | spl0_191
    | ~ spl0_194 ),
    inference(sat_conversion,[],[f12987]) ).

cnf(s1064,plain,
    ( spl0_187
    | spl0_194 ),
    inference(sat_conversion,[],[f12992]) ).

cnf(s1066,plain,
    ( spl0_167
    | ~ spl0_173
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f12997]) ).

cnf(s1067,plain,
    ( spl0_169
    | ~ spl0_173
    | ~ spl0_196 ),
    inference(sat_conversion,[],[f13001]) ).

cnf(s1071,plain,
    ( ~ spl0_31
    | ~ spl0_95
    | ~ spl0_128
    | spl0_169 ),
    inference(sat_conversion,[],[f13032]) ).

cnf(s1073,plain,
    ( ~ spl0_2
    | ~ spl0_108
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f13064]) ).

cnf(s1074,plain,
    ( spl0_175
    | spl0_196 ),
    inference(sat_conversion,[],[f13101]) ).

cnf(s1082,plain,
    ( ~ spl0_79
    | ~ spl0_133
    | spl0_175 ),
    inference(sat_conversion,[],[f13283]) ).

cnf(s1083,plain,
    ( ~ spl0_8
    | ~ spl0_101
    | ~ spl0_175
    | spl0_191 ),
    inference(sat_conversion,[],[f13297]) ).

cnf(s1084,plain,
    ( ~ spl0_101
    | ~ spl0_169
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f13298]) ).

cnf(s1086,plain,
    ( ~ spl0_92
    | ~ spl0_103
    | ~ spl0_130
    | ~ spl0_152
    | spl0_198 ),
    inference(sat_conversion,[],[f13329]) ).

cnf(s1087,plain,
    ( ~ spl0_28
    | spl0_57
    | ~ spl0_197 ),
    inference(sat_conversion,[],[f13347]) ).

cnf(s1089,plain,
    ( ~ spl0_97
    | ~ spl0_103
    | ~ spl0_134
    | ~ spl0_165
    | spl0_199 ),
    inference(sat_conversion,[],[f13396]) ).

cnf(s1091,plain,
    ( ~ spl0_103
    | ~ spl0_152
    | ~ spl0_199 ),
    inference(sat_conversion,[],[f13419]) ).

cnf(s1094,plain,
    ( ~ spl0_81
    | ~ spl0_129
    | spl0_166
    | ~ spl0_183
    | spl0_197 ),
    inference(sat_conversion,[],[f13443]) ).

cnf(s1095,plain,
    ( spl0_110
    | spl0_195 ),
    inference(sat_conversion,[],[f13444]) ).

cnf(s1100,plain,
    ( spl0_110
    | spl0_146
    | spl0_195 ),
    inference(sat_conversion,[],[f13449]) ).

cnf(s1103,plain,
    ( spl0_71
    | spl0_110
    | spl0_195 ),
    inference(sat_conversion,[],[f13453]) ).

cnf(s1109,plain,
    ( ~ spl0_93
    | ~ spl0_168
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f13530]) ).

cnf(s1117,plain,
    ( ~ spl0_96
    | ~ spl0_181
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f13624]) ).

cnf(s1119,plain,
    ( ~ spl0_96
    | ~ spl0_108
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f13626]) ).

cnf(s1121,plain,
    ( ~ spl0_15
    | ~ spl0_109
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f13706]) ).

cnf(s1122,plain,
    ( ~ spl0_96
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f13708]) ).

cnf(s1124,plain,
    ( ~ spl0_48
    | ~ spl0_132
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f13710]) ).

cnf(s1129,plain,
    ( ~ spl0_28
    | spl0_118
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f13846]) ).

cnf(s1130,plain,
    ( ~ spl0_97
    | ~ spl0_107
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f13896]) ).

cnf(s1138,plain,
    ( ~ spl0_4
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f13922]) ).

cnf(s1144,plain,
    ( ~ spl0_48
    | ~ spl0_167
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f13998]) ).

cnf(s1147,plain,
    ( ~ spl0_92
    | ~ spl0_96
    | ~ spl0_147
    | spl0_151
    | spl0_157
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f14029]) ).

cnf(s1149,plain,
    ( ~ spl0_98
    | ~ spl0_111
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f14057]) ).

cnf(s1150,plain,
    ( ~ spl0_57
    | ~ spl0_163
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f14120]) ).

cnf(s1151,plain,
    ( ~ spl0_95
    | ~ spl0_96
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f14154]) ).

cnf(s1152,plain,
    ( ~ spl0_101
    | ~ spl0_187
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f14156]) ).

cnf(s1153,plain,
    ( ~ spl0_95
    | ~ spl0_99
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f14158]) ).

cnf(s1154,plain,
    ( ~ spl0_95
    | ~ spl0_190
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f14184]) ).

cnf(s1155,plain,
    ( ~ spl0_8
    | ~ spl0_95
    | ~ spl0_171
    | spl0_191 ),
    inference(sat_conversion,[],[f14185]) ).

cnf(s1156,plain,
    ( ~ spl0_8
    | ~ spl0_95
    | ~ spl0_127
    | spl0_191 ),
    inference(sat_conversion,[],[f14186]) ).

cnf(s1163,plain,
    ( ~ spl0_48
    | ~ spl0_167
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f14370]) ).

cnf(s1169,plain,
    ( ~ spl0_57
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f14392]) ).

cnf(s1170,plain,
    ( ~ spl0_7
    | spl0_53
    | ~ spl0_200 ),
    inference(sat_conversion,[],[f14393]) ).

cnf(s1172,plain,
    ( ~ spl0_9
    | spl0_175
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f14396]) ).

cnf(s1174,plain,
    ( ~ spl0_8
    | ~ spl0_99
    | ~ spl0_108
    | spl0_190 ),
    inference(sat_conversion,[],[f14398]) ).

cnf(s1175,plain,
    ( ~ spl0_8
    | ~ spl0_96
    | ~ spl0_127
    | spl0_187 ),
    inference(sat_conversion,[],[f14399]) ).

cnf(s1184,plain,
    ( ~ spl0_2
    | ~ spl0_53
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f14512]) ).

cnf(s1190,plain,
    ( ~ spl0_2
    | ~ spl0_175
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f14648]) ).

cnf(s1191,plain,
    ( ~ spl0_96
    | ~ spl0_127
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f14650]) ).

cnf(s1192,plain,
    ( ~ spl0_98
    | spl0_116
    | spl0_123
    | spl0_126
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f14651]) ).

cnf(s1197,plain,
    ( ~ spl0_93
    | ~ spl0_128
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f14710]) ).

cnf(s1199,plain,
    ( ~ spl0_94
    | ~ spl0_121
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f14782]) ).

cnf(s1202,plain,
    ( ~ spl0_101
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f14842]) ).

cnf(s1203,plain,
    ( ~ spl0_42
    | spl0_132
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f14843]) ).

cnf(s1205,plain,
    ( ~ spl0_57
    | ~ spl0_104
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f14870]) ).

cnf(s1210,plain,
    ( ~ spl0_100
    | spl0_108
    | spl0_155
    | ~ spl0_156
    | spl0_173 ),
    inference(sat_conversion,[],[f14952]) ).

cnf(s1211,plain,
    ( ~ spl0_102
    | ~ spl0_109
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f14962]) ).

cnf(s1214,plain,
    ( ~ spl0_7
    | ~ spl0_170
    | spl0_191 ),
    inference(sat_conversion,[],[f14965]) ).

cnf(s1218,plain,
    ( ~ spl0_94
    | spl0_113
    | ~ spl0_114
    | spl0_151
    | spl0_161 ),
    inference(sat_conversion,[],[f14969]) ).

cnf(s1229,plain,
    ( ~ spl0_100
    | ~ spl0_135
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f15096]) ).

cnf(s1235,plain,
    ( ~ spl0_22
    | ~ spl0_154
    | spl0_191 ),
    inference(sat_conversion,[],[f15257]) ).

cnf(s1236,plain,
    ( ~ spl0_81
    | spl0_161
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f15324]) ).

cnf(s1237,plain,
    ( ~ spl0_100
    | ~ spl0_134
    | ~ spl0_198 ),
    inference(sat_conversion,[],[f15325]) ).

cnf(s1239,plain,
    ( ~ spl0_94
    | ~ spl0_100
    | ~ spl0_112
    | ~ spl0_152
    | spl0_198 ),
    inference(sat_conversion,[],[f15392]) ).

cnf(s1244,plain,
    ( ~ spl0_101
    | ~ spl0_168
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f15459]) ).

cnf(s1246,plain,
    ( ~ spl0_8
    | ~ spl0_53
    | ~ spl0_167
    | spl0_191 ),
    inference(sat_conversion,[],[f15461]) ).

cnf(s1247,plain,
    ( ~ spl0_92
    | ~ spl0_147
    | spl0_151
    | spl0_157
    | spl0_181 ),
    inference(sat_conversion,[],[f15462]) ).

cnf(s1248,plain,
    ( ~ spl0_53
    | ~ spl0_167
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f15463]) ).

cnf(s1253,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | ~ spl0_167
    | spl0_191 ),
    inference(sat_conversion,[],[f15500]) ).

cnf(s1254,plain,
    ( ~ spl0_51
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f15503]) ).

cnf(s1257,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f15569]) ).

cnf(s1258,plain,
    ( ~ spl0_15
    | ~ spl0_128
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f15570]) ).

cnf(s1259,plain,
    ( ~ spl0_29
    | ~ spl0_102
    | ~ spl0_166
    | spl0_187 ),
    inference(sat_conversion,[],[f15571]) ).

cnf(s1260,plain,
    ( ~ spl0_102
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f15573]) ).

cnf(s1261,plain,
    ( ~ spl0_102
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f15575]) ).

cnf(s1262,plain,
    ( ~ spl0_102
    | ~ spl0_110
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f15577]) ).

cnf(s1263,plain,
    ( ~ spl0_8
    | spl0_175
    | spl0_187 ),
    inference(sat_conversion,[],[f15578]) ).

cnf(s1265,plain,
    ( ~ spl0_29
    | spl0_51
    | spl0_57 ),
    inference(sat_conversion,[],[f15580]) ).

cnf(s1283,plain,
    ( ~ spl0_13
    | ~ spl0_159
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f15711]) ).

cnf(s1285,plain,
    ( ~ spl0_4
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f15736]) ).

cnf(s1287,plain,
    ( ~ spl0_18
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f15783]) ).

cnf(s1288,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f15784]) ).

cnf(s1293,plain,
    ( ~ spl0_98
    | spl0_116
    | spl0_127
    | ~ spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f16061]) ).

cnf(s1294,plain,
    ( ~ spl0_97
    | spl0_158
    | spl0_175
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f16062]) ).

cnf(s1296,plain,
    ( ~ spl0_57
    | ~ spl0_104
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f16064]) ).

cnf(s1298,plain,
    ( ~ spl0_97
    | ~ spl0_105
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f16066]) ).

cnf(s1299,plain,
    ( ~ spl0_97
    | ~ spl0_107
    | spl0_109
    | spl0_116
    | spl0_121 ),
    inference(sat_conversion,[],[f16067]) ).

cnf(s1300,plain,
    ( ~ spl0_97
    | ~ spl0_119
    | spl0_158
    | spl0_175 ),
    inference(sat_conversion,[],[f16068]) ).

cnf(s1301,plain,
    ( ~ spl0_97
    | spl0_110
    | spl0_111
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f16069]) ).

cnf(s1303,plain,
    ( ~ spl0_98
    | ~ spl0_106
    | spl0_116
    | spl0_124
    | spl0_181 ),
    inference(sat_conversion,[],[f16071]) ).

cnf(s1304,plain,
    ( ~ spl0_97
    | spl0_108
    | spl0_116
    | ~ spl0_119
    | spl0_120 ),
    inference(sat_conversion,[],[f16072]) ).

cnf(s1309,plain,
    ( ~ spl0_97
    | spl0_117
    | spl0_118
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f16077]) ).

cnf(s1310,plain,
    ( ~ spl0_97
    | ~ spl0_114
    | spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f16078]) ).

cnf(s1321,plain,
    ( ~ spl0_4
    | ~ spl0_171
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f16211]) ).

cnf(s1327,plain,
    ( ~ spl0_98
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f16328]) ).

cnf(s1330,plain,
    ( ~ spl0_10
    | ~ spl0_101
    | ~ spl0_109
    | spl0_159
    | spl0_160 ),
    inference(sat_conversion,[],[f16467]) ).

cnf(s1346,plain,
    ~ spl0_162,
    inference(sat_conversion,[],[f16664]) ).

cnf(s1349,plain,
    ( ~ spl0_33
    | ~ spl0_46
    | ~ spl0_104
    | spl0_108
    | spl0_137
    | spl0_138 ),
    inference(sat_conversion,[],[f16692]) ).

cnf(s1350,plain,
    ( ~ spl0_33
    | ~ spl0_93
    | ~ spl0_128
    | spl0_159
    | spl0_160
    | spl0_162 ),
    inference(sat_conversion,[],[f16702]) ).

cnf(s1351,plain,
    ( ~ spl0_98
    | spl0_122
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f16703]) ).

cnf(s1352,plain,
    ( ~ spl0_81
    | spl0_115
    | ~ spl0_130
    | ~ spl0_176
    | spl0_197 ),
    inference(sat_conversion,[],[f16704]) ).

cnf(s1353,plain,
    ( ~ spl0_30
    | spl0_48
    | spl0_72
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f16768]) ).

cnf(s1354,plain,
    ( ~ spl0_30
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_118
    | spl0_162 ),
    inference(sat_conversion,[],[f16769]) ).

cnf(s1355,plain,
    ( ~ spl0_98
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f16770]) ).

cnf(s1362,plain,
    ( ~ spl0_51
    | ~ spl0_110
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f16850]) ).

cnf(s1364,plain,
    ( ~ spl0_29
    | spl0_128
    | spl0_190 ),
    inference(sat_conversion,[],[f16881]) ).

cnf(s1366,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | ~ spl0_131
    | spl0_190 ),
    inference(sat_conversion,[],[f16885]) ).

cnf(s1367,plain,
    ( ~ spl0_18
    | ~ spl0_29
    | ~ spl0_171
    | spl0_190 ),
    inference(sat_conversion,[],[f16886]) ).

cnf(s1368,plain,
    ( ~ spl0_116
    | spl0_187
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f16887]) ).

cnf(s1369,plain,
    ( ~ spl0_98
    | ~ spl0_135
    | spl0_171
    | spl0_174 ),
    inference(sat_conversion,[],[f16888]) ).

cnf(s1370,plain,
    ( ~ spl0_116
    | spl0_175
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f16889]) ).

cnf(s1371,plain,
    ( ~ spl0_97
    | spl0_187
    | ~ spl0_188
    | spl0_192 ),
    inference(sat_conversion,[],[f16890]) ).

cnf(s1372,plain,
    ( ~ spl0_97
    | ~ spl0_107
    | spl0_187
    | spl0_192 ),
    inference(sat_conversion,[],[f16891]) ).

cnf(s1373,plain,
    ( ~ spl0_98
    | ~ spl0_106
    | spl0_190
    | spl0_193 ),
    inference(sat_conversion,[],[f16892]) ).

cnf(s1374,plain,
    ( ~ spl0_79
    | spl0_108
    | ~ spl0_130
    | ~ spl0_186
    | spl0_201 ),
    inference(sat_conversion,[],[f16893]) ).

cnf(s1376,plain,
    ( ~ spl0_77
    | spl0_109
    | ~ spl0_130
    | ~ spl0_188
    | spl0_200 ),
    inference(sat_conversion,[],[f16895]) ).

cnf(s1377,plain,
    ( ~ spl0_97
    | spl0_104
    | spl0_112 ),
    inference(sat_conversion,[],[f16896]) ).

cnf(s1378,plain,
    ( ~ spl0_63
    | ~ spl0_101
    | ~ spl0_110
    | spl0_191 ),
    inference(sat_conversion,[],[f16906]) ).

cnf(s1379,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | ~ spl0_118
    | spl0_187 ),
    inference(sat_conversion,[],[f16908]) ).

cnf(s1380,plain,
    ( ~ spl0_63
    | ~ spl0_93
    | ~ spl0_132
    | spl0_191 ),
    inference(sat_conversion,[],[f16910]) ).

cnf(s1381,plain,
    ( ~ spl0_98
    | ~ spl0_106
    | ~ spl0_192 ),
    inference(sat_conversion,[],[f17021]) ).

cnf(s1384,plain,
    ( ~ spl0_10
    | ~ spl0_93
    | spl0_159
    | spl0_160
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f17101]) ).

cnf(s1385,plain,
    ( ~ spl0_30
    | ~ spl0_93
    | ~ spl0_101
    | ~ spl0_118
    | spl0_162
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f17130]) ).

cnf(s1386,plain,
    ( ~ spl0_33
    | ~ spl0_101
    | ~ spl0_118
    | spl0_159
    | spl0_160
    | spl0_162 ),
    inference(sat_conversion,[],[f17165]) ).

cnf(s1387,plain,
    ( ~ spl0_33
    | spl0_41
    | spl0_46
    | spl0_71
    | spl0_72 ),
    inference(sat_conversion,[],[f17167]) ).

cnf(s1389,plain,
    ( ~ spl0_116
    | spl0_118
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f17169]) ).

cnf(s1400,plain,
    ~ spl0_164,
    inference(sat_conversion,[],[f17378]) ).

cnf(s1401,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_104
    | ~ spl0_108
    | spl0_138 ),
    inference(sat_conversion,[],[f17419]) ).

cnf(s1402,plain,
    ( ~ spl0_30
    | ~ spl0_93
    | ~ spl0_123
    | spl0_162
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f17420]) ).

cnf(s1403,plain,
    ( ~ spl0_29
    | ~ spl0_101
    | ~ spl0_118
    | spl0_191 ),
    inference(sat_conversion,[],[f17440]) ).

cnf(s1404,plain,
    ( ~ spl0_29
    | ~ spl0_93
    | ~ spl0_128
    | spl0_191 ),
    inference(sat_conversion,[],[f17444]) ).

cnf(s1405,plain,
    ( ~ spl0_29
    | ~ spl0_51
    | ~ spl0_104
    | spl0_187 ),
    inference(sat_conversion,[],[f17445]) ).

cnf(s1406,plain,
    ( ~ spl0_18
    | ~ spl0_29
    | ~ spl0_108
    | spl0_187 ),
    inference(sat_conversion,[],[f17446]) ).

cnf(s1412,plain,
    ( ~ spl0_62
    | ~ spl0_93
    | ~ spl0_131
    | spl0_164
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f17567]) ).

cnf(s1414,plain,
    ( ~ spl0_28
    | spl0_51
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f17569]) ).

cnf(s1420,plain,
    ( ~ spl0_53
    | ~ spl0_131
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f17607]) ).

cnf(s1427,plain,
    ( ~ spl0_99
    | ~ spl0_108
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f17706]) ).

cnf(s1433,plain,
    ( ~ spl0_51
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f17728]) ).

cnf(s1437,plain,
    ( ~ spl0_77
    | ~ spl0_133
    | spl0_187 ),
    inference(sat_conversion,[],[f17876]) ).

cnf(s1440,plain,
    ( ~ spl0_32
    | spl0_166
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f17879]) ).

cnf(s1443,plain,
    ( ~ spl0_69
    | spl0_167
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f17907]) ).

cnf(s1444,plain,
    ( ~ spl0_41
    | ~ spl0_108
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f17908]) ).

cnf(s1449,plain,
    ( ~ spl0_22
    | ~ spl0_122
    | spl0_187 ),
    inference(sat_conversion,[],[f17946]) ).

cnf(s1450,plain,
    ( ~ spl0_30
    | ~ spl0_95
    | spl0_146
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f17996]) ).

cnf(s1451,plain,
    ( ~ spl0_30
    | spl0_46
    | spl0_48
    | spl0_72 ),
    inference(sat_conversion,[],[f17998]) ).

cnf(s1452,plain,
    ( ~ spl0_46
    | ~ spl0_166
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f17999]) ).

cnf(s1453,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | spl0_170
    | spl0_175 ),
    inference(sat_conversion,[],[f18000]) ).

cnf(s1489,plain,
    ~ spl0_146,
    inference(sat_conversion,[],[f18224]) ).

cnf(s1490,plain,
    ( ~ spl0_100
    | spl0_118
    | ~ spl0_150
    | spl0_154 ),
    inference(sat_conversion,[],[f18225]) ).

cnf(s1492,plain,
    ( spl0_137
    | spl0_175
    | spl0_196 ),
    inference(sat_conversion,[],[f18247]) ).

cnf(s1498,plain,
    ( ~ spl0_24
    | ~ spl0_154
    | spl0_169 ),
    inference(sat_conversion,[],[f18409]) ).

cnf(s1500,plain,
    ( ~ spl0_103
    | spl0_166
    | spl0_205 ),
    inference(sat_conversion,[],[f18454]) ).

cnf(s1501,plain,
    ( ~ spl0_31
    | spl0_128
    | spl0_171 ),
    inference(sat_conversion,[],[f18496]) ).

cnf(s1502,plain,
    ( ~ spl0_31
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f18498]) ).

cnf(s1503,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | ~ spl0_168
    | spl0_169 ),
    inference(sat_conversion,[],[f18499]) ).

cnf(s1504,plain,
    ( ~ spl0_33
    | ~ spl0_96
    | ~ spl0_115
    | spl0_127
    | spl0_141
    | spl0_146 ),
    inference(sat_conversion,[],[f18588]) ).

cnf(s1505,plain,
    ( ~ spl0_33
    | ~ spl0_46
    | spl0_159
    | spl0_160
    | spl0_162
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f18589]) ).

cnf(s1508,plain,
    ( ~ spl0_79
    | spl0_159
    | ~ spl0_184
    | ~ spl0_196
    | spl0_201 ),
    inference(sat_conversion,[],[f18593]) ).

cnf(s1511,plain,
    ( ~ spl0_63
    | spl0_110
    | spl0_187 ),
    inference(sat_conversion,[],[f18631]) ).

cnf(s1516,plain,
    ( ~ spl0_2
    | ~ spl0_171
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f18735]) ).

cnf(s1517,plain,
    ( ~ spl0_9
    | spl0_13
    | ~ spl0_30 ),
    inference(sat_conversion,[],[f18736]) ).

cnf(s1518,plain,
    ( ~ spl0_24
    | spl0_51
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f18737]) ).

cnf(s1519,plain,
    ( ~ spl0_51
    | ~ spl0_163
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f18738]) ).

cnf(s1524,plain,
    ( spl0_119
    | spl0_127
    | spl0_141 ),
    inference(sat_conversion,[],[f18772]) ).

cnf(s1529,plain,
    ( ~ spl0_92
    | spl0_131
    | spl0_148 ),
    inference(sat_conversion,[],[f18875]) ).

cnf(s1530,plain,
    ( ~ spl0_94
    | ~ spl0_105
    | spl0_111
    | spl0_167 ),
    inference(sat_conversion,[],[f18902]) ).

cnf(s1531,plain,
    ( ~ spl0_77
    | ~ spl0_111
    | spl0_190 ),
    inference(sat_conversion,[],[f18921]) ).

cnf(s1533,plain,
    ( ~ spl0_24
    | spl0_169
    | spl0_174
    | ~ spl0_196
    | ~ spl0_205 ),
    inference(sat_conversion,[],[f19026]) ).

cnf(s1534,plain,
    ( ~ spl0_30
    | ~ spl0_99
    | ~ spl0_102
    | ~ spl0_123
    | spl0_138
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f19037]) ).

cnf(s1535,plain,
    ( ~ spl0_62
    | ~ spl0_102
    | spl0_139
    | ~ spl0_163
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f19055]) ).

cnf(s1536,plain,
    ( ~ spl0_94
    | ~ spl0_114
    | spl0_117
    | spl0_166 ),
    inference(sat_conversion,[],[f19056]) ).

cnf(s1537,plain,
    ( ~ spl0_92
    | spl0_128
    | ~ spl0_150
    | spl0_154 ),
    inference(sat_conversion,[],[f19057]) ).

cnf(s1538,plain,
    ( ~ spl0_92
    | spl0_132
    | ~ spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f19058]) ).

cnf(s1539,plain,
    ( ~ spl0_94
    | spl0_113
    | ~ spl0_114
    | spl0_151
    | spl0_161 ),
    inference(sat_conversion,[],[f19059]) ).

cnf(s1540,plain,
    ( ~ spl0_92
    | spl0_123
    | spl0_149
    | ~ spl0_150
    | spl0_151 ),
    inference(sat_conversion,[],[f19060]) ).

cnf(s1541,plain,
    ( ~ spl0_94
    | spl0_163
    | spl0_165 ),
    inference(sat_conversion,[],[f19061]) ).

cnf(s1544,plain,
    ( spl0_27
    | spl0_105
    | spl0_131 ),
    inference(sat_conversion,[],[f19098]) ).

cnf(s1548,plain,
    ( ~ spl0_96
    | ~ spl0_110
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f19109]) ).

cnf(s1553,plain,
    ( ~ spl0_96
    | ~ spl0_110
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f19145]) ).

cnf(s1554,plain,
    ( ~ spl0_79
    | ~ spl0_153
    | spl0_169 ),
    inference(sat_conversion,[],[f19197]) ).

cnf(s1560,plain,
    ( ~ spl0_30
    | ~ spl0_102
    | spl0_138
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f19337]) ).

cnf(s1561,plain,
    ( ~ spl0_2
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_127
    | ~ spl0_131
    | spl0_146 ),
    inference(sat_conversion,[],[f19338]) ).

cnf(s1562,plain,
    ( ~ spl0_79
    | ~ spl0_148
    | spl0_159
    | ~ spl0_186
    | spl0_201 ),
    inference(sat_conversion,[],[f19339]) ).

cnf(s1563,plain,
    ( ~ spl0_92
    | ~ spl0_147
    | spl0_189
    | spl0_190 ),
    inference(sat_conversion,[],[f19340]) ).

cnf(s1564,plain,
    ( ~ spl0_7
    | spl0_20
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f19341]) ).

cnf(s1565,plain,
    ( ~ spl0_94
    | ~ spl0_107
    | spl0_191
    | spl0_192 ),
    inference(sat_conversion,[],[f19342]) ).

cnf(s1566,plain,
    ( ~ spl0_94
    | ~ spl0_188
    | spl0_191
    | spl0_192 ),
    inference(sat_conversion,[],[f19343]) ).

cnf(s1567,plain,
    ( ~ spl0_94
    | ~ spl0_119
    | spl0_120
    | spl0_151
    | spl0_159 ),
    inference(sat_conversion,[],[f19344]) ).

cnf(s1568,plain,
    ( ~ spl0_92
    | ~ spl0_156
    | spl0_170
    | spl0_171 ),
    inference(sat_conversion,[],[f19345]) ).

cnf(s1569,plain,
    ( ~ spl0_94
    | spl0_111
    | spl0_167
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f19346]) ).

cnf(s1570,plain,
    ( ~ spl0_92
    | spl0_127
    | spl0_151
    | spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f19347]) ).

cnf(s1572,plain,
    ( ~ spl0_79
    | ~ spl0_119
    | ~ spl0_165
    | spl0_169
    | spl0_201 ),
    inference(sat_conversion,[],[f19349]) ).

cnf(s1573,plain,
    ( ~ spl0_92
    | ~ spl0_147
    | spl0_151
    | spl0_157
    | spl0_181 ),
    inference(sat_conversion,[],[f19351]) ).

cnf(s1574,plain,
    ( ~ spl0_30
    | ~ spl0_46
    | ~ spl0_131
    | spl0_146
    | spl0_181 ),
    inference(sat_conversion,[],[f19352]) ).

cnf(s1575,plain,
    ( ~ spl0_94
    | ~ spl0_107
    | spl0_121
    | spl0_151
    | spl0_168 ),
    inference(sat_conversion,[],[f19353]) ).

cnf(s1576,plain,
    ( ~ spl0_77
    | ~ spl0_148
    | spl0_168
    | ~ spl0_188
    | spl0_200 ),
    inference(sat_conversion,[],[f19354]) ).

cnf(s1577,plain,
    ( ~ spl0_94
    | ~ spl0_119
    | spl0_158
    | spl0_169 ),
    inference(sat_conversion,[],[f19355]) ).

cnf(s1578,plain,
    ( ~ spl0_94
    | spl0_158
    | spl0_169
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f19356]) ).

cnf(s1581,plain,
    ( ~ spl0_30
    | ~ spl0_102
    | spl0_109
    | spl0_138
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f19365]) ).

cnf(s1584,plain,
    ( spl0_156
    | spl0_159
    | spl0_160 ),
    inference(sat_conversion,[],[f19425]) ).

cnf(s1587,plain,
    ( ~ spl0_77
    | ~ spl0_153
    | spl0_191 ),
    inference(sat_conversion,[],[f19486]) ).

cnf(s1588,plain,
    ( ~ spl0_10
    | ~ spl0_99
    | spl0_108
    | spl0_137
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f19516]) ).

cnf(s1589,plain,
    ( ~ spl0_33
    | ~ spl0_46
    | spl0_127
    | ~ spl0_131
    | spl0_141
    | spl0_146 ),
    inference(sat_conversion,[],[f19559]) ).

cnf(s1590,plain,
    ( ~ spl0_33
    | ~ spl0_102
    | spl0_108
    | spl0_137
    | spl0_138
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f19560]) ).

cnf(s1592,plain,
    ( ~ spl0_94
    | spl0_117
    | spl0_166
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f19565]) ).

cnf(s1593,plain,
    ( ~ spl0_81
    | ~ spl0_114
    | ~ spl0_165
    | spl0_166
    | spl0_197 ),
    inference(sat_conversion,[],[f19566]) ).

cnf(s1599,plain,
    ( ~ spl0_4
    | ~ spl0_30
    | ~ spl0_46
    | ~ spl0_159
    | spl0_162
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f19671]) ).

cnf(s1600,plain,
    ( ~ spl0_30
    | ~ spl0_99
    | ~ spl0_123
    | spl0_138
    | ~ spl0_190 ),
    inference(sat_conversion,[],[f19672]) ).

cnf(s1601,plain,
    ( ~ spl0_53
    | ~ spl0_159
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f19690]) ).

cnf(s1602,plain,
    ( ~ spl0_29
    | spl0_118
    | spl0_187 ),
    inference(sat_conversion,[],[f19717]) ).

cnf(s1603,plain,
    ( ~ spl0_29
    | ~ spl0_96
    | ~ spl0_128
    | spl0_187 ),
    inference(sat_conversion,[],[f19719]) ).

cnf(s1604,plain,
    ( ~ spl0_46
    | ~ spl0_161
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f19721]) ).

cnf(s1611,plain,
    ( ~ spl0_4
    | ~ spl0_109
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f19815]) ).

cnf(s1612,plain,
    ( ~ spl0_48
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f19816]) ).

cnf(s1614,plain,
    ( spl0_152
    | spl0_163
    | spl0_164 ),
    inference(sat_conversion,[],[f19898]) ).

cnf(s1616,plain,
    ( spl0_138
    | spl0_152
    | spl0_163 ),
    inference(sat_conversion,[],[f19900]) ).

cnf(s1618,plain,
    ( ~ spl0_100
    | spl0_104
    | spl0_184 ),
    inference(sat_conversion,[],[f19955]) ).

cnf(s1622,plain,
    ( ~ spl0_30
    | ~ spl0_96
    | ~ spl0_109
    | ~ spl0_115
    | spl0_146 ),
    inference(sat_conversion,[],[f20167]) ).

cnf(s1623,plain,
    ( ~ spl0_100
    | spl0_109
    | ~ spl0_147
    | spl0_157
    | spl0_173 ),
    inference(sat_conversion,[],[f20168]) ).

cnf(s1624,plain,
    ( ~ spl0_103
    | ~ spl0_106
    | spl0_191
    | spl0_193 ),
    inference(sat_conversion,[],[f20171]) ).

cnf(s1625,plain,
    ( ~ spl0_4
    | ~ spl0_103
    | ~ spl0_106
    | spl0_124
    | ~ spl0_159
    | spl0_173 ),
    inference(sat_conversion,[],[f20172]) ).

cnf(s1626,plain,
    ( ~ spl0_30
    | ~ spl0_96
    | ~ spl0_115
    | spl0_146
    | spl0_181 ),
    inference(sat_conversion,[],[f20173]) ).

cnf(s1627,plain,
    ( ~ spl0_100
    | spl0_118
    | ~ spl0_150
    | spl0_154 ),
    inference(sat_conversion,[],[f20174]) ).

cnf(s1628,plain,
    ( ~ spl0_103
    | spl0_133
    | spl0_167
    | ~ spl0_195 ),
    inference(sat_conversion,[],[f20175]) ).

cnf(s1631,plain,
    ( ~ spl0_100
    | spl0_115
    | spl0_149
    | ~ spl0_150
    | spl0_173 ),
    inference(sat_conversion,[],[f20178]) ).

cnf(s1632,plain,
    ( ~ spl0_103
    | spl0_122
    | ~ spl0_129
    | spl0_166 ),
    inference(sat_conversion,[],[f20179]) ).

cnf(s1633,plain,
    ( ~ spl0_103
    | spl0_163
    | spl0_183 ),
    inference(sat_conversion,[],[f20180]) ).

cnf(s1635,plain,
    ( ~ spl0_100
    | spl0_110
    | ~ spl0_152
    | spl0_153 ),
    inference(sat_conversion,[],[f20182]) ).

cnf(s1638,plain,
    ( ~ spl0_81
    | spl0_161
    | ~ spl0_182
    | ~ spl0_184
    | spl0_197 ),
    inference(sat_conversion,[],[f20185]) ).

cnf(s1639,plain,
    ( ~ spl0_103
    | spl0_122
    | spl0_166
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f20186]) ).

cnf(s1640,plain,
    ( ~ spl0_103
    | spl0_133
    | ~ spl0_134
    | spl0_167 ),
    inference(sat_conversion,[],[f20187]) ).

cnf(s1641,plain,
    ( ~ spl0_103
    | spl0_126
    | ~ spl0_129
    | spl0_161
    | spl0_173 ),
    inference(sat_conversion,[],[f20188]) ).

cnf(s1643,plain,
    ( ~ spl0_4
    | ~ spl0_41
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f20209]) ).

cnf(s1646,plain,
    ( spl0_150
    | spl0_161
    | spl0_162 ),
    inference(sat_conversion,[],[f20268]) ).

cnf(s1648,plain,
    ( ~ spl0_100
    | ~ spl0_147
    | ~ spl0_193 ),
    inference(sat_conversion,[],[f20307]) ).

cnf(s1651,plain,
    ( ~ spl0_33
    | ~ spl0_95
    | spl0_127
    | spl0_141
    | spl0_146
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f20409]) ).

cnf(s1652,plain,
    ( ~ spl0_30
    | ~ spl0_95
    | ~ spl0_166
    | ~ spl0_168 ),
    inference(rat,[],[s1450,s1489]) ).

cnf(s1662,plain,
    ( spl0_110
    | spl0_195 ),
    inference(rat,[],[s1100,s1489]) ).

cnf(s1668,plain,
    ( ~ spl0_10
    | spl0_127
    | spl0_181 ),
    inference(rat,[],[s802,s841]) ).

cnf(s1678,plain,
    ( spl0_118
    | spl0_182 ),
    inference(rat,[],[s637,s841]) ).

cnf(s1681,plain,
    ( spl0_128
    | spl0_176 ),
    inference(rat,[],[s467,s1489]) ).

cnf(s1691,plain,
    ( spl0_114
    | spl0_123 ),
    inference(rat,[],[s330,s1489]) ).

cnf(s1696,plain,
    ( spl0_150
    | spl0_161 ),
    inference(rat,[],[s301,s512]) ).

cnf(s1697,plain,
    ( spl0_156
    | spl0_159 ),
    inference(rat,[],[s298,s543]) ).

cnf(s1698,plain,
    ( spl0_104
    | spl0_134 ),
    inference(rat,[],[s257,s288]) ).

cnf(s1704,plain,
    ( spl0_108
    | spl0_135 ),
    inference(rat,[],[s201,s512]) ).

cnf(s1705,plain,
    ( spl0_102
    | spl0_103 ),
    inference(rat,[],[s150,s181]) ).

cnf(s1706,plain,
    ( spl0_100
    | spl0_101 ),
    inference(rat,[],[s149,s181]) ).

cnf(s1707,plain,
    ( spl0_98
    | spl0_99 ),
    inference(rat,[],[s148,s181]) ).

cnf(s1708,plain,
    ( spl0_96
    | spl0_97 ),
    inference(rat,[],[s147,s181]) ).

cnf(s1709,plain,
    ( spl0_94
    | spl0_95 ),
    inference(rat,[],[s146,s288]) ).

cnf(s1710,plain,
    ( spl0_92
    | spl0_93 ),
    inference(rat,[],[s145,s288]) ).

cnf(s1725,plain,
    ( spl0_51
    | spl0_81 ),
    inference(rat,[],[s102,s181]) ).

cnf(s1727,plain,
    ( spl0_41
    | spl0_69 ),
    inference(rat,[],[s78,s288]) ).

cnf(s1729,plain,
    ( spl0_18
    | spl0_32 ),
    inference(rat,[],[s29,s58]) ).

cnf(s1730,plain,
    ( spl0_13
    | spl0_24 ),
    inference(rat,[],[s19,s58]) ).

cnf(s1731,plain,
    ( ~ spl0_131
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30 ),
    inference(rat,[],[s1574,s676,s1489]) ).

cnf(s1733,plain,
    ( ~ spl0_104
    | ~ spl0_51
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1349,s1401,s512,s223]) ).

cnf(s1736,plain,
    ( ~ spl0_167
    | ~ spl0_103
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_48
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1639,s639,s869,s918,s1190,s1002,s943,s334,s1254,s1163]) ).

cnf(s1737,plain,
    ( ~ spl0_133
    | ~ spl0_79
    | ~ spl0_77
    | ~ spl0_2 ),
    inference(rat,[],[s1190,s1082,s1437]) ).

cnf(s1738,plain,
    ( ~ spl0_103
    | ~ spl0_134
    | ~ spl0_51
    | ~ spl0_63
    | spl0_133
    | ~ spl0_48
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1639,s639,s869,s918,s1190,s1511,s1378,s183,s1736,s1254,s1144,s1640,s181]) ).

cnf(s1739,plain,
    ( spl0_187
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1627,s1646,s1498,s948,s1025,s334,s1623,s723,s626,s1581,s198,s639,s1612,s1379,s1511,s1346,s223]) ).

cnf(s1740,plain,
    ( ~ spl0_100
    | spl0_170
    | ~ spl0_102
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s723,s1623,s198,s1612,s1635,s1614,s334,s1587,s1599,s974,s986,s626,s1584,s639,s1590,s1453,s918,s1073,s1190,s1739,s98,s1052,s1400,s1346,s543,s512,s223]) ).

cnf(s1741,plain,
    ( ~ spl0_181
    | ~ spl0_168
    | ~ spl0_156
    | spl0_170
    | ~ spl0_4 ),
    inference(rat,[],[s1568,s296,s1321,s1109,s288]) ).

cnf(s1742,plain,
    ( ~ spl0_99
    | spl0_153
    | ~ spl0_110
    | ~ spl0_101 ),
    inference(rat,[],[s296,s1054,s1062,s1614,s902,s288,s1400]) ).

cnf(s1743,plain,
    ( spl0_187
    | ~ spl0_101
    | ~ spl0_134
    | ~ spl0_63
    | spl0_133
    | ~ spl0_79
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1051,s1373,s1355,s184,s1742,s1554,s950,s198,s1129,s1378,s1612,s1379,s1511,s181]) ).

cnf(s1744,plain,
    ( ~ spl0_99
    | spl0_189
    | ~ spl0_187
    | ~ spl0_101 ),
    inference(rat,[],[s1563,s296,s969,s1054,s334,s1244,s288]) ).

cnf(s1745,plain,
    ( ~ spl0_101
    | ~ spl0_102
    | ~ spl0_134
    | ~ spl0_63
    | spl0_133
    | ~ spl0_79
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1563,s1380,s1051,s1355,s184,s1744,s943,s334,s1590,s1152,s1244,s1073,s1743,s288,s181,s512,s223]) ).

cnf(s1746,plain,
    ( ~ spl0_51
    | ~ spl0_63
    | ~ spl0_48
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1599,s1584,s1616,s1210,s1635,s1587,s626,s1229,s1262,s1144,s639,s1590,s1704,s1443,s918,s1073,s1740,s1739,s183,s1745,s185,s1738,s1698,s1733,s729,s1737,s435,s576,s98,s1052,s1387,s1346,s543,s223,s512,s181,s288]) ).

cnf(s1747,plain,
    ( spl0_187
    | ~ spl0_184
    | ~ spl0_100
    | ~ spl0_81
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s954,s1624,s1638,s198,s185,s639,s1129,s1612,s1739,s1379,s1511,s1087,s1052,s181]) ).

cnf(s1748,plain,
    ( ~ spl0_100
    | spl0_104
    | ~ spl0_81
    | spl0_201
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s658,s1638,s1508,s639,s1492,s918,s1190,s1747,s1618,s1087,s1052,s435,s576,s512,s288]) ).

cnf(s1749,plain,
    ( ~ spl0_101
    | ~ spl0_134
    | ~ spl0_63
    | ~ spl0_79
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1452,s1639,s1640,s639,s869,s185,s918,s1190,s1745,s1743,s1737,s98,s1052,s181]) ).

cnf(s1750,plain,
    ( ~ spl0_134
    | ~ spl0_81
    | spl0_201
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1144,s1640,s1624,s185,s1129,s1739,s198,s845,s1073,s700,s1349,s1748,s183,s1749,s1737,s435,s576,s98,s1052,s181,s512,s223,s288]) ).

cnf(s1751,plain,
    ( ~ spl0_100
    | spl0_193
    | ~ spl0_106
    | spl0_118
    | spl0_187
    | ~ spl0_129
    | ~ spl0_63
    | ~ spl0_48
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1646,s954,s1627,s1624,s871,s185,s1739,s1346,s181]) ).

cnf(s1752,plain,
    ( ~ spl0_63
    | ~ spl0_48
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s466,s914,s1352,s1373,s1327,s184,s1742,s1554,s950,s1378,s183,s1751,s1129,s1511,s198,s845,s1073,s249,s700,s1349,s594,s1698,s1750,s1725,s1518,s1746,s1087,s1052,s435,s576,s1731,s1387,s181,s223,s512,s288]) ).

cnf(s1753,plain,
    ( ~ spl0_103
    | ~ spl0_100
    | ~ spl0_134
    | ~ spl0_51
    | spl0_133
    | ~ spl0_48
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1736,s1640]) ).

cnf(s1754,plain,
    ( ~ spl0_109
    | spl0_187
    | ~ spl0_102
    | ~ spl0_100
    | ~ spl0_33
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s943,s1002,s1590,s334,s583,s1211,s512,s223]) ).

cnf(s1755,plain,
    ( ~ spl0_168
    | ~ spl0_100
    | ~ spl0_48
    | ~ spl0_69
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s800,s1453,s1627,s1443,s1646,s1498,s1584,s1163,s948,s1025,s974,s1346,s543]) ).

cnf(s1756,plain,
    ( spl0_187
    | ~ spl0_147
    | ~ spl0_102
    | ~ spl0_100
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s943,s1581,s1002,s1754,s223]) ).

cnf(s1757,plain,
    ( ~ spl0_100
    | ~ spl0_48
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s723,s1623,s198,s1612,s1635,s1614,s1587,s1599,s986,s1584,s1210,s626,s1229,s639,s1590,s1704,s918,s1073,s1756,s334,s1755,s185,s1753,s729,s1737,s435,s576,s1698,s1733,s1414,s104,s1752,s98,s1052,s1387,s1400,s1346,s543,s512,s223,s181,s288]) ).

cnf(s1758,plain,
    ( ~ spl0_103
    | ~ spl0_194
    | ~ spl0_101
    | ~ spl0_134
    | ~ spl0_51
    | spl0_133
    | ~ spl0_48
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1639,s639,s869,s1354,s1611,s198,s1040,s660,s1063,s334,s1254,s1144,s1163,s1640,s1346]) ).

cnf(s1759,plain,
    ( ~ spl0_168
    | ~ spl0_106
    | ~ spl0_102
    | ~ spl0_101
    | spl0_131
    | ~ spl0_48
    | ~ spl0_56
    | ~ spl0_69
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s430,s1530,s296,s297,s1054,s1153,s184,s192,s584,s1741,s1614,s1443,s1584,s692,s1163,s974,s368,s288,s181,s1400,s543]) ).

cnf(s1760,plain,
    ( ~ spl0_99
    | ~ spl0_152
    | spl0_167
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_105 ),
    inference(rat,[],[s430,s1530,s296,s297,s1054,s1153,s288]) ).

cnf(s1761,plain,
    ( ~ spl0_98
    | ~ spl0_106
    | spl0_193
    | ~ spl0_134
    | spl0_133
    | ~ spl0_48 ),
    inference(rat,[],[s1051,s1373,s1355]) ).

cnf(s1762,plain,
    ( ~ spl0_163
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1505,s1599,s543,s1346]) ).

cnf(s1763,plain,
    ( ~ spl0_103
    | ~ spl0_101
    | ~ spl0_134
    | ~ spl0_51
    | spl0_133
    | ~ spl0_48
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1639,s639,s869,s918,s1190,s1064,s1254,s1758,s1640]) ).

cnf(s1764,plain,
    ( spl0_167
    | spl0_187
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_134
    | spl0_133
    | ~ spl0_105
    | ~ spl0_48
    | ~ spl0_152
    | ~ spl0_46
    | ~ spl0_28 ),
    inference(rat,[],[s186,s1151,s1371,s297,s999,s916,s1530,s959,s1051,s1149,s1355,s184,s1760,s181,s288]) ).

cnf(s1765,plain,
    ( ~ spl0_92
    | spl0_189
    | spl0_153
    | ~ spl0_147
    | ~ spl0_48
    | ~ spl0_152 ),
    inference(rat,[],[s1051,s1538,s1563]) ).

cnf(s1766,plain,
    ( ~ spl0_167
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_134
    | ~ spl0_51
    | ~ spl0_105
    | ~ spl0_48
    | ~ spl0_152
    | ~ spl0_77
    | ~ spl0_28 ),
    inference(rat,[],[s1298,s1149,s186,s184,s401,s1054,s296,s1765,s943,s1587,s334,s1262,s1254,s1144,s1163,s181,s288]) ).

cnf(s1767,plain,
    ( ~ spl0_48
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s998,s198,s249,s1761,s1351,s959,s1129,s869,s1355,s918,s1190,s184,s1764,s1760,s1766,s185,s1763,s183,s1757,s1698,s1733,s1414,s104,s1752,s1737,s368,s1731,s435,s576,s98,s1052,s1614,s1762,s1387,s223,s181,s288,s1400]) ).

cnf(s1768,plain,
    ( ~ spl0_103
    | ~ spl0_100
    | spl0_133
    | ~ spl0_134
    | ~ spl0_51
    | ~ spl0_152
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1624,s198,s954,s1611,s1646,s869,s1010,s1639,s639,s1129,s1362,s1254,s1635,s1640,s622,s1346]) ).

cnf(s1769,plain,
    ( ~ spl0_168
    | spl0_170
    | ~ spl0_100
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s800,s1627,s1453,s1646,s1498,s1584,s948,s1025,s974,s1346,s543]) ).

cnf(s1770,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_147
    | ~ spl0_102
    | spl0_163
    | ~ spl0_56 ),
    inference(rat,[],[s312,s584,s297,s1257,s1153,s288]) ).

cnf(s1771,plain,
    ( ~ spl0_147
    | ~ spl0_102
    | ~ spl0_100
    | spl0_133
    | ~ spl0_134
    | spl0_157
    | spl0_163
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s959,s1351,s1355,s184,s1770,s249,s1005,s1623,s626,s639,s1590,s869,s918,s1073,s1190,s1756,s69,s1052,s181,s223,s512]) ).

cnf(s1772,plain,
    ( ~ spl0_100
    | ~ spl0_51
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1262,s1635,s1443,s1554,s1769,s1025,s334,s1771,s185,s1768,s729,s1614,s666,s82,s1767,s1762,s1698,s1733,s1737,s435,s587,s98,s1052,s1387,s181,s288,s1400]) ).

cnf(s1773,plain,
    ( ~ spl0_187
    | spl0_189
    | ~ spl0_101
    | spl0_133
    | ~ spl0_134
    | spl0_136
    | ~ spl0_46
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1373,s198,s1288,s998,s1293,s249,s1389,s1351,s469,s959,s1355,s184,s1129,s1704,s869,s1744,s918,s1073,s1190,s223,s288,s181]) ).

cnf(s1774,plain,
    ( ~ spl0_109
    | ~ spl0_102
    | spl0_133
    | ~ spl0_134
    | spl0_163
    | ~ spl0_46
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s959,s1351,s1355,s184,s1770,s249,s869,s334,s998,s1611,s1211,s69,s1052,s181,s223]) ).

cnf(s1775,plain,
    ( ~ spl0_131
    | ~ spl0_46
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s1561,s1589,s1489,s841]) ).

cnf(s1776,plain,
    ( ~ spl0_102
    | ~ spl0_101
    | spl0_133
    | spl0_104
    | spl0_131
    | ~ spl0_76
    | spl0_163
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1592,s600,s469,s1321,s959,s584,s1538,s262,s620,s296,s297,s401,s1151,s186,s452,s1581,s198,s1774,s1614,s368,s1698,s288,s181,s223,s1400]) ).

cnf(s1777,plain,
    ( ~ spl0_109
    | spl0_166
    | ~ spl0_103
    | ~ spl0_101
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1639,s639,s869,s1354,s1611,s1346]) ).

cnf(s1778,plain,
    ( ~ spl0_51
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1592,s600,s469,s1321,s959,s584,s1538,s262,s296,s297,s401,s1151,s186,s452,s198,s1777,s1254,s1640,s622,s185,s1776,s183,s1772,s1737,s1698,s435,s1733,s587,s98,s1052,s1614,s1762,s94,s66,s82,s1767,s368,s1775,s1387,s288,s181,s1400]) ).

cnf(s1779,plain,
    ( ~ spl0_102
    | ~ spl0_134
    | ~ spl0_100
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1262,s1635,s1443,s621,s1769,s1581,s334,s1774,s1771,s729,s666,s82,s1767,s1725,s1778,s617,s1614,s1762,s1387,s223,s1400,s181,s288]) ).

cnf(s1780,plain,
    ( ~ spl0_134
    | ~ spl0_100
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s645,s1625,s198,s661,s664,s1704,s626,s998,s594,s846,s639,s249,s1353,s1094,s1452,s1635,s1633,s1640,s622,s185,s1779,s729,s1087,s1052,s82,s1767,s1725,s1778,s617,s1614,s1762,s1387,s223,s181,s1400,s288]) ).

cnf(s1781,plain,
    ( ~ spl0_102
    | ~ spl0_110
    | spl0_187
    | ~ spl0_100
    | ~ spl0_69
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1769,s1443,s334,s1262,s1756]) ).

cnf(s1782,plain,
    ( ~ spl0_100
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s922,s1094,s1624,s1633,s185,s1781,s198,s1129,s1511,s583,s845,s1073,s249,s1349,s594,s1698,s1780,s729,s1087,s1762,s1725,s104,s1414,s1778,s98,s1052,s1387,s181,s223,s512,s288]) ).

cnf(s1784,plain,
    ( ~ spl0_133
    | ~ spl0_81
    | ~ spl0_77
    | ~ spl0_20 ),
    inference(rat,[],[s918,s618,s1437]) ).

cnf(s1785,plain,
    ( ~ spl0_102
    | spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s469,s1352,s914,s1327,s1373,s184,s1742,s1554,s435,s198,s1129,s1511,s471,s710,s583,s845,s1073,s1349,s594,s1776,s1087,s1762,s94,s66,s82,s1767,s1775,s104,s1414,s183,s1782,s1784,s1725,s1778,s98,s1052,s1387,s288,s181,s512,s223]) ).

cnf(s1786,plain,
    ( ~ spl0_134
    | ~ spl0_183
    | ~ spl0_103
    | ~ spl0_101
    | ~ spl0_63
    | ~ spl0_81
    | ~ spl0_105
    | ~ spl0_76
    | ~ spl0_152
    | ~ spl0_46
    | ~ spl0_69
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1538,s296,s1548,s401,s1511,s186,s1773,s452,s664,s594,s249,s198,s1094,s1777,s943,s1452,s1640,s622,s1087,s1784,s98,s1052,s288,s181,s223]) ).

cnf(s1787,plain,
    ( spl0_41
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1378,s922,s1511,s1094,s1073,s249,s1349,s594,s1698,s1786,s1633,s185,s1785,s183,s1782,s104,s1725,s1414,s1778,s368,s1775,s94,s66,s82,s1767,s1614,s1762,s98,s1087,s1052,s1387,s729,s223,s512,s181,s1400,s288]) ).

cnf(s1788,plain,
    ( ~ spl0_134
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_81
    | spl0_48
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1353,s1627,s1635,s1646,s1498,s621,s948,s1025,s1581,s334,s1774,s1771,s1614,s666,s1762,s82,s1784,s98,s1052,s1451,s181,s1346,s223,s1400]) ).

cnf(s1789,plain,
    ( ~ spl0_104
    | ~ spl0_46
    | ~ spl0_41
    | ~ spl0_33 ),
    inference(rat,[],[s375,s1349,s512,s223]) ).

cnf(s1790,plain,
    ( ~ spl0_102
    | spl0_104
    | ~ spl0_81
    | spl0_48
    | ~ spl0_33
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s183,s1788,s1776,s94,s66,s82,s1762,s1775,s1784,s98,s1052,s1451,s1698,s181]) ).

cnf(s1791,plain,
    ( ~ spl0_33
    | ~ spl0_30
    | ~ spl0_2
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s800,s639,s1074,s626,s1067,s645,s1704,s846,s642,s249,s1584,s1094,s851,s1452,s416,s1640,s1633,s185,s1790,s1698,s1789,s1784,s98,s1087,s1762,s1052,s1725,s1451,s436,s1643,s1787,s181,s543,s223]) ).

cnf(s1792,plain,
    ( ~ spl0_147
    | spl0_189
    | spl0_166
    | spl0_109
    | ~ spl0_100
    | ~ spl0_20 ),
    inference(rat,[],[s639,s626,s918,s1623,s1002,s723,s198]) ).

cnf(s1793,plain,
    ( spl0_163
    | ~ spl0_79
    | spl0_133
    | ~ spl0_100
    | ~ spl0_134
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1262,s1635,s1443,s1554,s1769,s1025,s334,s1792,s943,s1581,s1774,s1614,s223,s1400]) ).

cnf(s1794,plain,
    ( ~ spl0_109
    | spl0_149
    | ~ spl0_150
    | spl0_189
    | spl0_166
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_20 ),
    inference(rat,[],[s1678,s918,s626,s1002,s1631,s334,s998,s1211]) ).

cnf(s1795,plain,
    ( ~ spl0_51
    | spl0_133
    | ~ spl0_100
    | ~ spl0_134
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1379,s918,s1627,s73,s82,s1498,s1535,s692,s1025,s334,s1792,s1794,s743,s1646,s943,s1599,s1433,s1519,s1793,s435,s587,s242,s1346,s288]) ).

cnf(s1796,plain,
    ( spl0_163
    | spl0_133
    | ~ spl0_100
    | ~ spl0_134
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1443,s1769,s1262,s334,s1635,s1792,s621,s943,s1581,s1774,s1614,s1725,s1795,s223,s1400]) ).

cnf(s1797,plain,
    ( ~ spl0_118
    | ~ spl0_63
    | ~ spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s1379,s918]) ).

cnf(s1798,plain,
    ( spl0_133
    | ~ spl0_100
    | ~ spl0_134
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1453,s1443,s731,s1248,s1618,s1498,s1638,s1627,s639,s1797,s1584,s1646,s1599,s1604,s1796,s104,s1725,s1414,s1502,s1795,s33,s1791,s1087,s98,s1052,s543,s1346]) ).

cnf(s1799,plain,
    ( ~ spl0_133
    | ~ spl0_77
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s587,s1725,s433,s1784,s1737]) ).

cnf(s1800,plain,
    ( spl0_166
    | spl0_163
    | ~ spl0_182
    | spl0_108
    | ~ spl0_129
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_56
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1293,s665,s1370,s1524,s899,s1287,s409,s1351,s184,s1770,s1190,s1010,s1792,s1002,s1646,s334,s658,s974,s1584,s1210,s626,s943,s1229,s1704,s841,s181,s1346,s543]) ).

cnf(s1801,plain,
    ( ~ spl0_166
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_18
    | ~ spl0_4 ),
    inference(rat,[],[s1453,s1611,s1584,s1443,s1581,s852,s1452,s543,s223]) ).

cnf(s1802,plain,
    ( ~ spl0_51
    | spl0_166
    | ~ spl0_104
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1584,s1599,s1210,s1800,s626,s1229,s639,s1704,s786,s1401,s69,s1052,s249,s594,s543,s1346,s223]) ).

cnf(s1803,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_69
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1584,s1599,s1210,s1800,s626,s639,s1229,s1797,s1704,s104,s710,s1414,s1502,s1802,s1801,s249,s594,s1698,s1798,s33,s1791,s69,s1799,s98,s1052,s543,s1346,s223]) ).

cnf(s1804,plain,
    ( ~ spl0_131
    | ~ spl0_51
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1501,s1321,s784,s1574,s1489]) ).

cnf(s1805,plain,
    ( spl0_48
    | spl0_76 ),
    inference(rat,[],[s94,s66,s82]) ).

cnf(s1806,plain,
    ( spl0_104
    | spl0_163
    | ~ spl0_134
    | spl0_131
    | ~ spl0_51
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_69
    | spl0_133
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1764,s1766,s1805,s1773,s1776,s664,s98,s1052,s368,s1614,s943,s1581,s1774,s223,s1400]) ).

cnf(s1808,plain,
    ( ~ spl0_98
    | spl0_193
    | ~ spl0_106
    | ~ spl0_134
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_2 ),
    inference(rat,[],[s1501,s1516,s959,s1373,s1355]) ).

cnf(s1809,plain,
    ( spl0_163
    | ~ spl0_134
    | ~ spl0_51
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_69
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1538,s620,s296,s297,s609,s1054,s1153,s184,s1808,s1129,s786,s1806,s198,s1774,s1614,s368,s1804,s288,s181,s1400]) ).

cnf(s1810,plain,
    ( ~ spl0_98
    | ~ spl0_129
    | spl0_122
    | ~ spl0_134
    | spl0_133
    | ~ spl0_46 ),
    inference(rat,[],[s959,s1351,s1355]) ).

cnf(s1811,plain,
    ( ~ spl0_109
    | ~ spl0_147
    | spl0_189
    | ~ spl0_134
    | ~ spl0_101
    | spl0_133
    | ~ spl0_46
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1563,s296,s1049,s1054,s184,s1810,s249,s869,s998,s1611,s288,s181,s223]) ).

cnf(s1812,plain,
    ( ~ spl0_190
    | ~ spl0_31
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s1501,s914,s1516]) ).

cnf(s1813,plain,
    ( spl0_163
    | ~ spl0_134
    | spl0_193
    | ~ spl0_81
    | ~ spl0_100
    | ~ spl0_102
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1593,s1691,s1541,s1534,s297,s334,s1153,s1792,s184,s943,s1808,s1581,s198,s1774,s1087,s1052,s223,s288,s181]) ).

cnf(s1814,plain,
    ( ~ spl0_134
    | spl0_118
    | ~ spl0_81
    | ~ spl0_53
    | ~ spl0_100
    | ~ spl0_102
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1530,s368,s297,s376,s1153,s184,s1810,s249,s1248,s594,s1498,s1618,s1627,s1010,s1638,s1646,s1604,s1813,s1087,s1531,s1812,s98,s1052,s1129,s639,s288,s181,s223,s1346]) ).

cnf(s1815,plain,
    ( spl0_163
    | ~ spl0_196
    | ~ spl0_129
    | spl0_108
    | ~ spl0_182
    | ~ spl0_42
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_46
    | spl0_190
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s733,s1369,s296,s1067,s184,s1563,s1210,s392,s1770,s334,s1584,s952,s1581,s1560,s852,s1452,s1800,s69,s1052,s1229,s1704,s288,s181,s543,s223]) ).

cnf(s1816,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s297,s1153,s1530,s184,s368,s1369,s397,s733,s296,s1563,s952,s334,s1248,s1025,s1498,s392,s1627,s1584,s1646,s1599,s1604,s1815,s1492,s1704,s249,s731,s375,s594,s1698,s1814,s639,s1797,s104,s1725,s1414,s1502,s82,s436,s1643,s729,s1803,s1799,s1531,s1812,s33,s1791,s98,s1052,s288,s181,s543,s1346,s512,s223]) ).

cnf(s1817,plain,
    ( ~ spl0_51
    | ~ spl0_134
    | spl0_163
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s729,s1809,s436,s33,s1791,s1799,s98,s1052,s183,s1816,s288,s181]) ).

cnf(s1818,plain,
    ( ~ spl0_134
    | spl0_163
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1511,s1744,s1742,s184,s1808,s1129,s1797,s621,s104,s1725,s1414,s1817,s943,s1581,s198,s1774,s33,s1791,s1799,s98,s1052,s183,s1816,s181,s223]) ).

cnf(s1819,plain,
    ( ~ spl0_109
    | ~ spl0_135
    | ~ spl0_105
    | ~ spl0_129
    | ~ spl0_104
    | spl0_163
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_56
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s899,s1294,s409,s186,s1351,s662,s1151,s184,s297,s1770,s454,s869,s1805,s334,s1611,s700,s1211,s841,s181,s288]) ).

cnf(s1820,plain,
    ( ~ spl0_51
    | ~ spl0_104
    | spl0_163
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_56
    | ~ spl0_46
    | spl0_190
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1538,s620,s296,s297,s609,s1054,s1153,s184,s1373,s198,s1819,s1129,s1704,s368,s786,s1401,s1804,s1614,s249,s594,s288,s181,s223,s1400]) ).

cnf(s1821,plain,
    ( ~ spl0_109
    | ~ spl0_53
    | ~ spl0_104
    | spl0_163
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_56
    | ~ spl0_46
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1370,s1192,s899,s184,s560,s1420,s1770,s1544,s334,s1819,s1211,s249,s594,s731,s1704,s605,s710,s841,s181,s58,s223]) ).

cnf(s1822,plain,
    ( spl0_163
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1511,s1744,s1742,s184,s621,s943,s1373,s1581,s198,s1821,s1129,s1797,s104,s1725,s1414,s1502,s1820,s1698,s1818,s1812,s33,s1791,s98,s69,s1052,s183,s1816,s181,s223]) ).

cnf(s1823,plain,
    ( ~ spl0_51
    | ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s334,s1563,s1535,s296,s104,s401,s1511,s186,s1773,s1298,s664,s943,s368,s729,s1519,s1804,s436,s1799,s1531,s1812,s33,s1791,s98,s1052,s902,s1698,s735,s1822,s183,s1816,s242,s288,s181]) ).

cnf(s1824,plain,
    ( ~ spl0_189
    | ~ spl0_42
    | ~ spl0_46
    | ~ spl0_28 ),
    inference(rat,[],[s1452,s952,s943]) ).

cnf(s1825,plain,
    ( ~ spl0_102
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1808,s198,s184,s1811,s1744,s1824,s334,s1244,s1041,s1511,s82,s104,s576,s1414,s1502,s1823,s1698,s902,s735,s1822,s183,s1816,s33,s1791,s1799,s98,s1052,s181]) ).

cnf(s1826,plain,
    ( ~ spl0_92
    | ~ spl0_76
    | spl0_131
    | ~ spl0_152
    | spl0_153
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_4 ),
    inference(rat,[],[s1501,s1321,s959,s584,s1538,s262]) ).

cnf(s1827,plain,
    ( ~ spl0_51
    | ~ spl0_152
    | ~ spl0_134
    | ~ spl0_103
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s786,s1129,s452,s1808,s186,s184,s401,s1054,s296,s1826,s198,s1805,s1777,s1763,s183,s368,s1768,s1804,s622,s1452,s1640,s181,s288]) ).

cnf(s1828,plain,
    ( spl0_163
    | ~ spl0_134
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s642,s645,s1584,s1625,s198,s661,s1704,s626,s998,s594,s846,s639,s249,s1797,s82,s1094,s104,s576,s1725,s1414,s1502,s1827,s1633,s1614,s33,s1791,s1087,s1452,s1640,s185,s1825,s1799,s98,s1052,s543,s223,s1400,s181]) ).

cnf(s1829,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_150
    | spl0_166
    | ~ spl0_103
    | ~ spl0_18 ),
    inference(rat,[],[s388,s1704,s1453,s845,s800,s639,s1639,s1010]) ).

cnf(s1830,plain,
    ( ~ spl0_51
    | spl0_110
    | ~ spl0_101
    | ~ spl0_156
    | ~ spl0_134
    | ~ spl0_103
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1524,s1577,s1191,s354,s1074,s296,s297,s1533,s401,s1151,s950,s186,s1624,s1041,s1298,s718,s82,s1763,s368,s729,s1804,s436,s1531,s1812,s1500,s198,s1777,s1452,s1640,s1799,s98,s1052,s841,s288,s181]) ).

cnf(s1831,plain,
    ( ~ spl0_134
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1414,s1830,s104,s1511,s1773,s902,s183,s1829,s642,s1584,s1646,s1599,s1604,s1828,s943,s1452,s1640,s33,s1791,s1799,s98,s1052,s185,s1825,s181,s543,s1346]) ).

cnf(s1832,plain,
    ( ~ spl0_100
    | spl0_170
    | spl0_193
    | spl0_118
    | spl0_154
    | ~ spl0_103
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_4 ),
    inference(rat,[],[s1611,s1453,s198,s1584,s1624,s658,s954,s1646,s1627,s543,s1346]) ).

cnf(s1833,plain,
    ( ~ spl0_109
    | ~ spl0_101
    | ~ spl0_105
    | spl0_118
    | spl0_163
    | ~ spl0_104
    | ~ spl0_103
    | spl0_133
    | ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s601,s1310,s184,s1691,s186,s1742,s783,s1151,s1662,s297,s1587,s1628,s454,s922,s1452,s1805,s334,s1777,s700,s1202,s98,s1052,s249,s594,s181,s288,s223]) ).

cnf(s1834,plain,
    ( ~ spl0_51
    | spl0_163
    | ~ spl0_104
    | ~ spl0_103
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s626,s1641,s922,s954,s1624,s198,s1833,s183,s1832,s388,s639,s1129,s605,s1704,s368,s786,s1401,s1804,s871,s249,s594,s181,s223]) ).

cnf(s1835,plain,
    ( spl0_163
    | ~ spl0_104
    | ~ spl0_103
    | spl0_133
    | ~ spl0_46
    | ~ spl0_31
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1378,s183,s1662,s1832,s1628,s1129,s388,s922,s1452,s1797,s1704,s1094,s104,s710,s1725,s1414,s1502,s1834,s1633,s1087,s98,s1052,s871,s249,s594,s181,s223]) ).

cnf(s1836,plain,
    ( ~ spl0_46
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1064,s1063,s918,s922,s1627,s1829,s1631,s183,s743,s1584,s1646,s735,s1599,s1604,s1835,s871,s249,s594,s1698,s1831,s185,s1825,s1799,s98,s1052,s33,s1791,s181,s543,s1346,s223]) ).

cnf(s1837,plain,
    ( ~ spl0_109
    | ~ spl0_100
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_77
    | ~ spl0_48 ),
    inference(rat,[],[s1635,s1587,s1612,s985]) ).

cnf(s1838,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s943,s1792,s1581,s1837,s334,s1755,s729,s1643,s98,s70,s576,s1451,s1836,s33,s1791,s223,s181,s288]) ).

cnf(s1839,plain,
    ( ~ spl0_109
    | ~ spl0_102
    | spl0_163
    | ~ spl0_56
    | ~ spl0_48
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s409,s1369,s1351,s184,s1770,s718,s249,s869,s1704,s334,s1612,s998,s1611,s583,s1211,s729,s1643,s181,s223,s288]) ).

cnf(s1840,plain,
    ( ~ spl0_92
    | spl0_189
    | ~ spl0_106
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_56
    | ~ spl0_51
    | ~ spl0_48
    | spl0_190
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1537,s784,s1646,s1498,s1759,s948,s1025,s334,s1563,s729,s1643,s1346,s288]) ).

cnf(s1841,plain,
    ( ~ spl0_93
    | ~ spl0_106
    | ~ spl0_101
    | ~ spl0_134
    | spl0_133
    | ~ spl0_48 ),
    inference(rat,[],[s1130,s584,s1124,s1761,s1355,s186,s184,s401,s1054,s181]) ).

cnf(s1842,plain,
    ( ~ spl0_102
    | spl0_163
    | ~ spl0_134
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1840,s943,s296,s1581,s1841,s198,s1839,s183,s1838,s1812,s1502,s69,s1799,s98,s70,s576,s1451,s1836,s33,s1791,s1614,s288,s223,s181,s1400]) ).

cnf(s1843,plain,
    ( ~ spl0_103
    | ~ spl0_134
    | spl0_133
    | ~ spl0_51
    | ~ spl0_48
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s183,s1763,s1753,s181]) ).

cnf(s1844,plain,
    ( ~ spl0_100
    | ~ spl0_105
    | ~ spl0_93
    | ~ spl0_150
    | spl0_189
    | spl0_166
    | spl0_168
    | ~ spl0_102
    | spl0_111
    | ~ spl0_69
    | ~ spl0_48
    | ~ spl0_188
    | ~ spl0_20
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s297,s1153,s584,s184,s1117,s1369,s186,s668,s1298,s718,s743,s1704,s953,s1612,s1794,s583,s985,s1002,s1792,s334,s288,s181]) ).

cnf(s1845,plain,
    ( ~ spl0_134
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s186,s1298,s401,s902,s183,s1844,s368,s397,s296,s1563,s1646,s943,s334,s1433,s1519,s692,s1842,s185,s1843,s916,s1502,s729,s1643,s1799,s1531,s98,s70,s576,s1451,s1836,s1812,s33,s1791,s181,s288,s1346]) ).

cnf(s1846,plain,
    ( ~ spl0_102
    | ~ spl0_152
    | ~ spl0_30
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1054,s1840,s183,s943,s1838,s1581,s69,s70,s184,s1373,s198,s700,s1812,s1129,s786,s1698,s1845,s1502,s576,s1451,s1836,s33,s1791,s288,s181,s223]) ).

cnf(s1847,plain,
    ( ~ spl0_103
    | ~ spl0_182
    | spl0_193
    | spl0_126
    | ~ spl0_106
    | ~ spl0_129
    | ~ spl0_20 ),
    inference(rat,[],[s626,s1641,s922,s954,s1624]) ).

cnf(s1848,plain,
    ( ~ spl0_30
    | ~ spl0_20
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24 ),
    inference(rat,[],[s1792,s183,s334,s735,s692,s1616,s943,s1846,s1581,s185,s1847,s639,s1129,s605,s198,s249,s786,s1401,s700,s595,s1698,s1845,s1502,s576,s1451,s1836,s33,s1791,s223,s181]) ).

cnf(s1849,plain,
    ( ~ spl0_168
    | ~ spl0_51
    | ~ spl0_100
    | ~ spl0_152
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1262,s1635,s1443,s1554,s1769,s1025,s435,s587,s729,s436,s288]) ).

cnf(s1850,plain,
    ( spl0_166
    | ~ spl0_147
    | ~ spl0_56
    | ~ spl0_100
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1800,s639,s249,s918,s998,s583,s1002,s1792,s943,s223]) ).

cnf(s1851,plain,
    ( ~ spl0_51
    | ~ spl0_100
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1443,s1254,s1453,s1190,s1584,s1259,s852,s1850,s334,s1849,s729,s69,s436,s1053,s24,s1848,s1614,s543,s288,s1400]) ).

cnf(s1852,plain,
    ( spl0_166
    | ~ spl0_41
    | ~ spl0_81
    | ~ spl0_57
    | ~ spl0_100
    | ~ spl0_152
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1210,s1067,s1584,s1025,s974,s1229,s334,s1704,s1002,s1492,s1444,s919,s448,s1635,s621,s943,s543,s512]) ).

cnf(s1853,plain,
    ( ~ spl0_100
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1073,s1590,s1259,s1852,s1387,s33,s70,s1052,s1184,s1725,s1265,s1851,s24,s1848,s1614,s512,s223,s288,s181,s1400]) ).

cnf(s1854,plain,
    ( ~ spl0_109
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_101
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s784,s1351,s1544,s184,s1819,s1770,s1698,s249,s869,s1704,s334,s1774,s998,s1611,s583,s1211,s69,s1799,s98,s1053,s58,s181,s223]) ).

cnf(s1855,plain,
    ( ~ spl0_118
    | ~ spl0_33
    | ~ spl0_101
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(rat,[],[s986,s1386,s1403,s543,s1346]) ).

cnf(s1856,plain,
    ( ~ spl0_33
    | ~ spl0_134
    | ~ spl0_46
    | spl0_189
    | spl0_133
    | ~ spl0_69
    | ~ spl0_101
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s664,s1349,s1773,s1073,s1602,s1855,s512,s223]) ).

cnf(s1857,plain,
    ( ~ spl0_134
    | ~ spl0_46
    | spl0_189
    | ~ spl0_51
    | ~ spl0_101
    | ~ spl0_152
    | ~ spl0_102
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s950,s1577,s1253,s297,s1760,s1153,s184,s1524,s1355,s336,s368,s1287,s959,s1366,s1364,s1812,s33,s1856,s729,s436,s1799,s98,s1053,s288,s181,s841]) ).

cnf(s1858,plain,
    ( ~ spl0_46
    | spl0_189
    | ~ spl0_51
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1812,s1373,s33,s184,s1349,s1129,s1744,s1073,s786,s1405,s1698,s1857,s198,s1854,s24,s1848,s1614,s183,s1853,s181,s512,s223,s1400]) ).

cnf(s1859,plain,
    ( ~ spl0_109
    | spl0_190
    | spl0_189
    | ~ spl0_102
    | ~ spl0_29 ),
    inference(rat,[],[s296,s1563,s1404,s334,s985,s1211,s1364,s288]) ).

cnf(s1860,plain,
    ( ~ spl0_93
    | ~ spl0_134
    | ~ spl0_106
    | ~ spl0_105
    | ~ spl0_128
    | spl0_133
    | ~ spl0_51
    | ~ spl0_101
    | ~ spl0_29 ),
    inference(rat,[],[s452,s1405,s186,s1805,s1152,s401,s1841,s1404,s181]) ).

cnf(s1861,plain,
    ( ~ spl0_92
    | spl0_127
    | ~ spl0_186
    | spl0_190
    | spl0_189
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1570,s960,s1584,s1025,s974,s334,s358,s1563,s1524,s543,s841]) ).

cnf(s1862,plain,
    ( spl0_189
    | ~ spl0_51
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1405,s1698,s1152,s1860,s1404,s296,s1861,s198,s1859,s368,s1287,s899,s1366,s1364,s1367,s1812,s33,s1387,s1858,s24,s1848,s183,s1853,s436,s1799,s98,s1053,s288,s841,s181]) ).

cnf(s1863,plain,
    ( ~ spl0_51
    | spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1404,s1568,s1364,s1367,s1812,s33,s1590,s1073,s1584,s1443,s1259,s852,s922,s1254,s943,s1862,s729,s436,s24,s1848,s288,s512,s223,s543]) ).

cnf(s1864,plain,
    ( spl0_163
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1293,s665,s1370,s1524,s899,s891,s423,s1355,s184,s1744,s943,s1698,s1590,s1704,s1296,s1073,s1190,s618,s1602,s1855,s1387,s33,s70,s1052,s1184,s1725,s1265,s1863,s183,s1853,s24,s1848,s841,s181,s512,s223,s288]) ).

cnf(s1865,plain,
    ( ~ spl0_33
    | spl0_122
    | ~ spl0_100
    | spl0_133
    | spl0_189
    | spl0_166
    | spl0_41
    | ~ spl0_163
    | ~ spl0_102
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s184,s1810,s969,s249,s1859,s998,s1698,s1002,s1792,s1349,s334,s1014,s974,s1505,s1387,s181,s223,s512,s543,s1346,s288]) ).

cnf(s1866,plain,
    ( ~ spl0_100
    | spl0_133
    | ~ spl0_150
    | spl0_189
    | spl0_166
    | spl0_41
    | ~ spl0_163
    | ~ spl0_102
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s297,s461,s1071,s1769,s1025,s334,s1524,s1792,s1287,s1859,s1364,s1812,s33,s1865,s1010,s288,s841]) ).

cnf(s1867,plain,
    ( ~ spl0_33
    | ~ spl0_134
    | ~ spl0_101
    | spl0_133
    | spl0_189
    | spl0_41
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1856,s1387,s729,s288,s181]) ).

cnf(s1868,plain,
    ( ~ spl0_51
    | ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1860,s1861,s198,s368,s1287,s899,s1859,s1366,s1364,s1367,s1812,s33,s1867,s1698,s735,s183,s1866,s1799,s1646,s943,s98,s1433,s1519,s436,s1053,s24,s1848,s1864,s288,s841,s181,s1346]) ).

cnf(s1869,plain,
    ( ~ spl0_100
    | spl0_189
    | spl0_166
    | spl0_159
    | ~ spl0_147
    | ~ spl0_79
    | ~ spl0_57
    | spl0_201
    | ~ spl0_20
    | ~ spl0_4 ),
    inference(rat,[],[s1508,s1492,s1618,s1611,s1205,s1792,s512]) ).

cnf(s1870,plain,
    ( spl0_166
    | ~ spl0_63
    | ~ spl0_41
    | ~ spl0_81
    | ~ spl0_57
    | spl0_201
    | ~ spl0_163
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1293,s665,s1370,s1524,s899,s891,s423,s1355,s184,s1704,s1744,s1073,s1190,s618,s1511,s1698,s1403,s902,s735,s183,s1869,s943,s1150,s435,s1184,s334,s1169,s348,s841,s181,s288]) ).

cnf(s1871,plain,
    ( ~ spl0_102
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1073,s1590,s1259,s1870,s73,s82,s1643,s1387,s33,s70,s1052,s1184,s1725,s1265,s1414,s1518,s1868,s1864,s24,s1848,s512,s223,s288,s181]) ).

cnf(s1872,plain,
    ( ~ spl0_104
    | spl0_166
    | ~ spl0_51
    | ~ spl0_103
    | ~ spl0_29
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1632,s869,s249,s1190,s595,s1405,s223]) ).

cnf(s1873,plain,
    ( ~ spl0_134
    | ~ spl0_51
    | ~ spl0_152
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s877,s718,s1704,s1362,s1406,s1602,s1152,s950,s183,s1253,s1768,s1640,s24,s1848,s185,s1871,s729,s436,s1799,s98,s1053,s181,s288]) ).

cnf(s1874,plain,
    ( ~ spl0_51
    | ~ spl0_152
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1563,s1404,s914,s1351,s334,s952,s184,s1244,s82,s1742,s183,s700,s1662,s1453,s198,s1584,s1587,s1628,s1443,s1847,s605,s869,s852,s922,s1254,s639,s1129,s249,s1073,s1190,s1872,s786,s595,s1405,s1698,s1873,s1799,s729,s98,s436,s1053,s24,s1848,s185,s1871,s288,s181,s543,s223]) ).

cnf(s1875,plain,
    ( spl0_166
    | ~ spl0_41
    | ~ spl0_33
    | ~ spl0_81
    | ~ spl0_57
    | ~ spl0_152
    | ~ spl0_103
    | ~ spl0_29
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s869,s1639,s1190,s639,s1602,s1855,s183,s1852,s181]) ).

cnf(s1876,plain,
    ( ~ spl0_134
    | spl0_174
    | ~ spl0_100
    | ~ spl0_41
    | ~ spl0_152
    | ~ spl0_103 ),
    inference(rat,[],[s200,s877,s1444,s416,s1635,s1640,s622,s617]) ).

cnf(s1877,plain,
    ( ~ spl0_104
    | spl0_159
    | spl0_191
    | ~ spl0_41
    | ~ spl0_57
    | ~ spl0_103 ),
    inference(rat,[],[s645,s1063,s1704,s1064,s375,s1296,s642,s1584,s543]) ).

cnf(s1878,plain,
    ( ~ spl0_100
    | ~ spl0_134
    | ~ spl0_156
    | ~ spl0_41
    | ~ spl0_152
    | ~ spl0_103 ),
    inference(rat,[],[s1876,s392]) ).

cnf(s1879,plain,
    ( ~ spl0_152
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s645,s1067,s416,s1704,s1492,s1640,s1073,s1190,s618,s1602,s1855,s183,s1878,s1698,s1877,s642,s1584,s852,s922,s1875,s1387,s33,s70,s1052,s1184,s1725,s1265,s1874,s24,s1848,s185,s1871,s512,s181,s543,s288]) ).

cnf(s1880,plain,
    ( ~ spl0_51
    | ~ spl0_163
    | ~ spl0_103
    | ~ spl0_29
    | ~ spl0_20
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s200,s877,s1406,s718,s1152,s902,s183,s1829,s1584,s950,s986,s1253,s1640,s1698,s1799,s1646,s1872,s729,s98,s1433,s1519,s436,s1053,s181,s543,s1346,s288]) ).

cnf(s1881,plain,
    ( ~ spl0_100
    | spl0_104
    | spl0_159
    | ~ spl0_147
    | ~ spl0_79
    | spl0_191
    | spl0_201
    | ~ spl0_103
    | ~ spl0_4 ),
    inference(rat,[],[s1611,s198,s1074,s1624,s1508,s1648,s1618]) ).

cnf(s1882,plain,
    ( ~ spl0_20
    | ~ spl0_18
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(rat,[],[s645,s1067,s1704,s1492,s416,s1073,s1190,s1628,s618,s1511,s1103,s1403,s902,s183,s1881,s642,s73,s1877,s1584,s82,s348,s1643,s1387,s33,s334,s70,s435,s1169,s1150,s1052,s1184,s1725,s1265,s1414,s1518,s1880,s1616,s1879,s185,s1871,s24,s1848,s223,s543,s181,s288,s512]) ).

cnf(s1883,plain,
    ( ~ spl0_159
    | ~ spl0_77
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s1362,s1627,s1635,s1646,s1587,s1235,s658,s986,s1346]) ).

cnf(s1884,plain,
    ( ~ spl0_187
    | ~ spl0_156
    | ~ spl0_77
    | ~ spl0_100
    | ~ spl0_69
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1043,s1587,s1067,s1635,s1210,s1262,s1229,s1443,s1704,s1453,s1492,s1073,s1190,s512]) ).

cnf(s1886,plain,
    ( spl0_131
    | ~ spl0_107
    | ~ spl0_175
    | spl0_167
    | ~ spl0_106
    | ~ spl0_56
    | ~ spl0_79
    | ~ spl0_102 ),
    inference(rat,[],[s1530,s724,s297,s745,s1153,s184,s192,s368,s288,s181]) ).

cnf(s1887,plain,
    ( spl0_57
    | spl0_189
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1372,s186,s999,s1553,s784,s1886,s584,s1741,s1453,s1443,s1262,s1635,s198,s1554,s1211,s1025,s334,s1002,s1884,s1584,s1883,s69,s98,s435,s587,s729,s436,s181,s543,s288]) ).

cnf(s1888,plain,
    ( ~ spl0_187
    | spl0_136
    | ~ spl0_105
    | ~ spl0_57
    | ~ spl0_100
    | ~ spl0_69
    | ~ spl0_79
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_2 ),
    inference(rat,[],[s296,s733,s896,s1369,s1293,s184,s775,s1153,s297,s620,s1554,s718,s1635,s1704,s919,s1073,s288,s181]) ).

cnf(s1889,plain,
    ( spl0_108
    | spl0_173
    | ~ spl0_156
    | ~ spl0_100 ),
    inference(rat,[],[s1229,s1210,s1704]) ).

cnf(s1890,plain,
    ( ~ spl0_33
    | spl0_166
    | ~ spl0_30
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1530,s724,s297,s745,s1153,s184,s1810,s249,s846,s1889,s1453,s626,s1443,s639,s1262,s1362,s1635,s1554,s1584,s1025,s974,s334,s1756,s1449,s1888,s664,s1698,s368,s1733,s1775,s1387,s435,s587,s729,s436,s617,s1887,s943,s288,s181,s223,s543]) ).

cnf(s1891,plain,
    ( ~ spl0_187
    | ~ spl0_105
    | ~ spl0_57
    | ~ spl0_100
    | ~ spl0_69
    | ~ spl0_79
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_2 ),
    inference(rat,[],[s664,s1888,s1296]) ).

cnf(s1892,plain,
    ( ~ spl0_46
    | ~ spl0_31
    | ~ spl0_57
    | spl0_189
    | spl0_166
    | ~ spl0_30
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1530,s724,s297,s745,s1153,s184,s1810,s1698,s249,s1401,s846,s1889,s1453,s626,s1443,s639,s1262,s1362,s1635,s1554,s1584,s1025,s974,s334,s1002,s1449,s1891,s368,s1804,s435,s587,s729,s436,s617,s288,s181,s223,s543]) ).

cnf(s1893,plain,
    ( ~ spl0_187
    | ~ spl0_31
    | ~ spl0_57
    | spl0_189
    | ~ spl0_100
    | ~ spl0_69
    | ~ spl0_79
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1563,s733,s334,s1501,s1025,s784,s966,s1554,s1544,s1635,s1891,s919,s288,s58]) ).

cnf(s1894,plain,
    ( spl0_166
    | ~ spl0_30
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1536,s600,s1691,s297,s745,s1534,s1153,s184,s1761,s1698,s1401,s1889,s626,s639,s1129,s1362,s1453,s1635,s1443,s198,s1554,s1584,s1163,s1211,s1025,s974,s334,s1002,s1893,s1451,s1892,s33,s1890,s1887,s943,s16,s1882,s435,s587,s729,s436,s617,s288,s223,s181,s543]) ).

cnf(s1895,plain,
    ( ~ spl0_30
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1453,s1611,s1584,s1443,s1581,s852,s1254,s1894,s729,s436,s543,s223,s288]) ).

cnf(s1896,plain,
    ( spl0_57
    | ~ spl0_29
    | ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1884,s1259,s1584,s943,s1883,s1887,s98,s729,s436,s543,s288]) ).

cnf(s1897,plain,
    ( ~ spl0_131
    | ~ spl0_57
    | ~ spl0_29
    | ~ spl0_51 ),
    inference(rat,[],[s1366,s966]) ).

cnf(s1898,plain,
    ( ~ spl0_100
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1002,s334,s943,s1025,s1259,s1554,s1635,s1362,s1602,s1891,s368,s1897,s1896,s32,s1895,s16,s1882,s435,s587,s729,s436,s288]) ).

cnf(s1899,plain,
    ( ~ spl0_33
    | ~ spl0_150
    | ~ spl0_159
    | ~ spl0_98
    | spl0_154
    | spl0_108
    | spl0_175
    | spl0_133
    | spl0_41 ),
    inference(rat,[],[s1370,s1293,s899,s649,s668,s296,s1537,s959,s1355,s664,s1698,s1349,s1387,s729,s1704,s841,s288,s512,s223,s181]) ).

cnf(s1900,plain,
    ( spl0_128
    | ~ spl0_31
    | ~ spl0_150
    | ~ spl0_159
    | spl0_154 ),
    inference(rat,[],[s668,s296,s1501,s1537,s288]) ).

cnf(s1901,plain,
    ( ~ spl0_128
    | ~ spl0_98
    | ~ spl0_135
    | spl0_175
    | ~ spl0_18 ),
    inference(rat,[],[s1293,s665,s1370,s1524,s899,s1287,s409,s841]) ).

cnf(s1902,plain,
    ( ~ spl0_187
    | ~ spl0_30
    | spl0_189
    | ~ spl0_56
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s198,s1354,s556,s1309,s584,s942,s1321,s1516,s898,s1294,s186,s401,s296,s1537,s1646,s611,s595,s249,s1351,s469,s1901,s662,s184,s1235,s1704,s869,s1744,s1152,s1073,s1190,s1346,s181,s288,s223]) ).

cnf(s1903,plain,
    ( ~ spl0_33
    | ~ spl0_150
    | spl0_154
    | ~ spl0_159
    | ~ spl0_30
    | spl0_133
    | ~ spl0_77
    | ~ spl0_101
    | spl0_41
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1805,s454,s1766,s297,s1760,s1153,s184,s1698,s368,s1899,s1349,s1775,s1387,s1614,s1014,s474,s334,s974,s288,s181,s512,s223,s1400]) ).

cnf(s1904,plain,
    ( ~ spl0_159
    | ~ spl0_30
    | spl0_189
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1805,s1765,s454,s296,s297,s1054,s1153,s184,s368,s1901,s784,s1900,s33,s1903,s1704,s1646,s334,s1587,s1235,s474,s1014,s658,s974,s986,s1614,s436,s1737,s435,s587,s288,s181,s1346,s1400]) ).

cnf(s1905,plain,
    ( ~ spl0_98
    | spl0_175
    | ~ spl0_135
    | spl0_136
    | ~ spl0_134
    | spl0_118
    | ~ spl0_46
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | spl0_133
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s186,s1371,s1626,s916,s593,s1288,s1293,s1389,s249,s469,s999,s1810,s1901,s181,s1489,s223,s288]) ).

cnf(s1906,plain,
    ( ~ spl0_99
    | ~ spl0_134
    | spl0_131
    | ~ spl0_156
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1524,s1577,s593,s1025,s584,s334,s262,s454,s354,s1805,s296,s1766,s297,s1054,s1760,s1153,s1614,s368,s841,s288,s1400]) ).

cnf(s1907,plain,
    ( ~ spl0_135
    | ~ spl0_98
    | spl0_136
    | ~ spl0_134
    | spl0_118
    | ~ spl0_46
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | spl0_133
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1288,s1293,s1373,s198,s1611,s1905,s1129,s1389,s469,s959,s1355,s288]) ).

cnf(s1908,plain,
    ( ~ spl0_33
    | spl0_159
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s200,s846,s1907,s249,s1810,s184,s1906,s664,s1698,s1733,s1386,s1775,s1387,s729,s436,s1737,s435,s587,s1584,s223,s181,s543,s1346,s288]) ).

cnf(s1909,plain,
    ( spl0_104
    | ~ spl0_46
    | spl0_175
    | ~ spl0_135
    | ~ spl0_31
    | ~ spl0_156
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | spl0_57
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s584,s192,s1321,s198,s1501,s1354,s1901,s1905,s184,s1906,s664,s1698,s729,s436,s69,s1737,s98,s435,s587,s1804,s1346,s181,s288]) ).

cnf(s1910,plain,
    ( ~ spl0_190
    | spl0_175
    | ~ spl0_135
    | ~ spl0_31
    | ~ spl0_30
    | spl0_166
    | ~ spl0_102
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1536,s1691,s297,s1600,s1153,s184,s1901,s1501,s600,s1516,s288,s223,s181]) ).

cnf(s1911,plain,
    ( ~ spl0_46
    | spl0_190
    | spl0_175
    | ~ spl0_135
    | ~ spl0_31
    | ~ spl0_156
    | spl0_187
    | ~ spl0_30
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1820,s1909,s183,s1898,s1614,s69,s1449,s16,s1882,s181,s1400]) ).

cnf(s1912,plain,
    ( ~ spl0_98
    | ~ spl0_134
    | ~ spl0_48
    | ~ spl0_188
    | spl0_175
    | ~ spl0_135
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | spl0_133
    | ~ spl0_18
    | ~ spl0_28 ),
    inference(rat,[],[s1626,s186,s249,s1371,s1351,s999,s1124,s1901,s1355,s1489,s181,s223]) ).

cnf(s1913,plain,
    ( ~ spl0_134
    | ~ spl0_48
    | spl0_117
    | ~ spl0_188
    | spl0_175
    | ~ spl0_135
    | ~ spl0_156
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | spl0_166
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s469,s1592,s784,s297,s1906,s1153,s184,s1912,s1737,s435,s587,s288,s181]) ).

cnf(s1914,plain,
    ( spl0_175
    | ~ spl0_135
    | ~ spl0_30
    | spl0_166
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s620,s1538,s296,s297,s368,s609,s1054,s1153,s376,s184,s1373,s198,s1129,s700,s786,s1698,s1913,s1451,s1911,s942,s916,s1910,s1584,s33,s1908,s1904,s1449,s1902,s943,s69,s16,s1882,s98,s183,s1898,s1614,s288,s181,s1400,s543]) ).

cnf(s1915,plain,
    ( ~ spl0_134
    | spl0_131
    | ~ spl0_46
    | spl0_193
    | ~ spl0_106
    | ~ spl0_31
    | ~ spl0_156
    | spl0_133
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s184,s1906,s1808,s181]) ).

cnf(s1916,plain,
    ( ~ spl0_46
    | ~ spl0_175
    | ~ spl0_31
    | ~ spl0_156
    | ~ spl0_30
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1577,s297,s336,s1071,s959,s1501,s1524,s1516,s1288,s1820,s1698,s1915,s1804,s729,s436,s69,s1737,s98,s435,s587,s1084,s183,s1898,s1614,s198,s1611,s1129,s800,s288,s841,s181,s1400]) ).

cnf(s1917,plain,
    ( ~ spl0_134
    | ~ spl0_48
    | spl0_193
    | ~ spl0_175
    | ~ spl0_31
    | ~ spl0_156
    | spl0_133
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s784,s1501,s1906,s745,s184,s1761,s198,s1611,s181]) ).

cnf(s1918,plain,
    ( ~ spl0_98
    | ~ spl0_129
    | spl0_169
    | ~ spl0_135
    | ~ spl0_31
    | spl0_122
    | ~ spl0_18 ),
    inference(rat,[],[s1578,s297,s899,s1071,s409,s1351,s662,s288,s841]) ).

cnf(s1919,plain,
    ( ~ spl0_135
    | ~ spl0_30
    | spl0_166
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1538,s296,s609,s1054,s184,s1918,s249,s595,s1698,s1917,s1451,s1916,s1554,s1129,s1084,s800,s1914,s1737,s435,s587,s1584,s33,s1908,s1904,s1449,s1902,s943,s69,s16,s1882,s98,s183,s1898,s1614,s288,s181,s223,s1400,s543]) ).

cnf(s1920,plain,
    ( ~ spl0_46
    | ~ spl0_134
    | ~ spl0_106
    | spl0_193
    | ~ spl0_31
    | ~ spl0_156
    | ~ spl0_30
    | spl0_133
    | ~ spl0_77
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1915,s1804]) ).

cnf(s1921,plain,
    ( ~ spl0_30
    | spl0_166
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s784,s1501,s1906,s1427,s184,s1761,s1451,s1920,s1698,s198,s1129,s1401,s583,s845,s1704,s1919,s33,s1908,s1584,s1904,s1449,s1902,s16,s1882,s183,s1898,s1614,s69,s1737,s98,s435,s587,s943,s181,s223,s543,s288,s1400]) ).

cnf(s1922,plain,
    ( ~ spl0_187
    | ~ spl0_29
    | spl0_189
    | ~ spl0_101
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s665,s1293,s1524,s1389,s1288,s469,s1364,s1901,s184,s1403,s1704,s1744,s1152,s1073,s1190,s841,s288,s181]) ).

cnf(s1923,plain,
    ( ~ spl0_98
    | spl0_174
    | ~ spl0_135
    | spl0_175
    | ~ spl0_29
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s1516,s1364,s1369,s1901]) ).

cnf(s1924,plain,
    ( spl0_166
    | spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1058,s1054,s184,s1923,s1498,s1646,s950,s718,s1704,s901,s1403,s1362,s800,s1406,s1602,s1922,s32,s1921,s943,s16,s1882,s729,s436,s183,s1898,s1614,s288,s181,s1346,s1400]) ).

cnf(s1925,plain,
    ( ~ spl0_30
    | ~ spl0_166
    | ~ spl0_56
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1351,s1901,s184,s869,s1704,s1770,s1611,s583,s334,s1581,s1560,s249,s1261,s181,s223]) ).

cnf(s1926,plain,
    ( ~ spl0_98
    | ~ spl0_135
    | spl0_122
    | spl0_175
    | ~ spl0_129
    | ~ spl0_18 ),
    inference(rat,[],[s1351,s1901]) ).

cnf(s1927,plain,
    ( spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1544,s1366,s1760,s969,s184,s1926,s1704,s869,s1073,s1190,s1259,s32,s1925,s249,s1261,s1254,s1924,s69,s16,s1882,s183,s1898,s1614,s58,s181,s223,s1400]) ).

cnf(s1928,plain,
    ( ~ spl0_98
    | spl0_174
    | spl0_122
    | spl0_175
    | ~ spl0_135
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s198,s1373,s1354,s1130,s1309,s186,s1626,s584,s942,s1321,s1516,s249,s469,s1369,s1926,s1901,s1346,s181,s1489,s223,s288]) ).

cnf(s1929,plain,
    ( ~ spl0_187
    | ~ spl0_135
    | ~ spl0_30
    | ~ spl0_57
    | ~ spl0_101
    | ~ spl0_69
    | ~ spl0_102
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s935,s1566,s296,s297,s916,s1054,s1153,s969,s184,s1928,s334,s718,s869,s1244,s1152,s919,s1190,s288,s181]) ).

cnf(s1930,plain,
    ( ~ spl0_98
    | spl0_175
    | spl0_187
    | ~ spl0_135
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_51
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s916,s1912,s1288,s1451,s1293,s1905,s1389,s664,s1698,s1362,s595,s718,s249,s469,s1928,s1926,s1901,s729,s436,s1449,s1082,s435,s587,s181,s223,s288]) ).

cnf(s1931,plain,
    ( ~ spl0_117
    | ~ spl0_22
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1516,s600,s942]) ).

cnf(s1932,plain,
    ( spl0_166
    | ~ spl0_92
    | ~ spl0_94
    | ~ spl0_99
    | ~ spl0_30
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1861,s899,s1600,s1287,s409,s331,s1681,s1536,s1592,s943,s841,s223,s288]) ).

cnf(s1933,plain,
    ( ~ spl0_99
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_102
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s584,s1565,s935,s1257,s985,s334,s1581,s1560,s1932,s296,s297,s1054,s1153,s223,s288]) ).

cnf(s1934,plain,
    ( ~ spl0_135
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1151,s186,s297,s667,s1577,s1369,s1524,s1516,s1288,s1373,s1129,s198,s1084,s800,s1611,s1930,s662,s1929,s729,s436,s184,s1933,s1931,s16,s1882,s181,s288,s841]) ).

cnf(s1935,plain,
    ( spl0_133
    | ~ spl0_134
    | ~ spl0_106
    | spl0_193
    | ~ spl0_129
    | spl0_122
    | ~ spl0_98
    | ~ spl0_30 ),
    inference(rat,[],[s1451,s1810,s1761,s181]) ).

cnf(s1936,plain,
    ( ~ spl0_30
    | ~ spl0_101
    | ~ spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1570,s358,s296,s401,s186,s616,s1935,s960,s1524,s899,s368,s1287,s409,s784,s1351,s1584,s1698,s198,s1129,s249,s1449,s471,s853,s1401,s583,s845,s846,s1073,s1704,s1934,s184,s1933,s1931,s16,s1882,s288,s181,s841,s543,s223]) ).

cnf(s1937,plain,
    ( ~ spl0_187
    | ~ spl0_29
    | ~ spl0_101
    | ~ spl0_57
    | ~ spl0_51
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s184,s1760,s1923,s1253,s718,s1704,s1152,s919,s1073,s1190,s729,s436,s368,s1897,s181,s288]) ).

cnf(s1938,plain,
    ( ~ spl0_51
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1058,s1054,s184,s1498,s1923,s1646,s950,s718,s901,s1403,s1362,s800,s1704,s1602,s1406,s1937,s32,s1936,s183,s729,s1927,s1898,s436,s16,s1882,s1614,s288,s181,s1346,s1400]) ).

cnf(s1939,plain,
    ( ~ spl0_96
    | ~ spl0_115
    | ~ spl0_187
    | ~ spl0_30 ),
    inference(rat,[],[s1626,s1117,s1489]) ).

cnf(s1940,plain,
    ( ~ spl0_98
    | spl0_122
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_81
    | ~ spl0_102
    | ~ spl0_152
    | spl0_117
    | ~ spl0_18
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1612,s1353,s1635,s183,s1354,s198,s1373,s1130,s584,s1321,s1516,s898,s1309,s1294,s186,s1939,s621,s1261,s249,s469,s1926,s1901,s662,s1190,s1704,s1073,s181,s1346,s223,s288]) ).

cnf(s1941,plain,
    ( spl0_57
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s186,s1377,s1553,s376,s1239,s1544,s1236,s1530,s1197,s1262,s296,s1681,s1635,s1932,s1592,s621,s1925,s1531,s69,s98,s969,s297,s1153,s183,s1933,s184,s1940,s869,s1190,s1725,s1938,s1614,s1931,s16,s1882,s181,s58,s288,s1400]) ).

cnf(s1942,plain,
    ( ~ spl0_187
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1590,s621,s33,s1635,s1502,s919,s1184,s1941,s183,s1933,s184,s1940,s869,s1073,s1190,s1931,s16,s1882,s1614,s1725,s1938,s512,s223,s181,s1400]) ).

cnf(s1943,plain,
    ( spl0_57
    | ~ spl0_100
    | spl0_175
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s729,s1444,s1443,s1889,s1453,s1067,s1584,s1025,s974,s334,s1002,s1262,s943,s1511,s1925,s104,s69,s98,s1414,s1938,s1942,s1492,s288,s543,s512]) ).

cnf(s1944,plain,
    ( ~ spl0_100
    | spl0_175
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1453,s1443,s1262,s1584,s729,s1635,s974,s1852,s621,s334,s1581,s1756,s1754,s33,s1502,s1184,s1943,s1614,s1725,s1938,s1942,s543,s288,s223,s1400]) ).

cnf(s1945,plain,
    ( ~ spl0_95
    | spl0_192
    | ~ spl0_191
    | ~ spl0_101
    | spl0_187 ),
    inference(rat,[],[s1371,s916,s186,s1154,s1151,s181]) ).

cnf(s1946,plain,
    ( spl0_57
    | ~ spl0_101
    | ~ spl0_98
    | spl0_187
    | ~ spl0_30
    | spl0_62
    | ~ spl0_102
    | spl0_163
    | spl0_117
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1567,s960,s1524,s899,s1287,s409,s1681,s337,s1592,s297,s1945,s1381,s198,s1584,s985,s950,s986,s1378,s1511,s1925,s104,s69,s98,s841,s288,s543]) ).

cnf(s1947,plain,
    ( ~ spl0_135
    | spl0_166
    | ~ spl0_101
    | spl0_175
    | ~ spl0_98
    | spl0_187
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1516,s916,s898,s1371,s1294,s186,s1151,s297,s1592,s469,s999,s1901,s662,s181,s288]) ).

cnf(s1948,plain,
    ( ~ spl0_108
    | ~ spl0_33
    | ~ spl0_57
    | ~ spl0_101
    | ~ spl0_98
    | spl0_122
    | spl0_201
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1529,s1562,s296,s899,s966,s1350,s409,s1373,s1351,s198,s1129,s249,s853,s583,s845,s846,s435,s1184,s288,s841,s543,s1346,s223]) ).

cnf(s1949,plain,
    ( spl0_175
    | ~ spl0_98
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1947,s1590,s1704,s1948,s33,s1502,s1184,s1946,s183,s1944,s1931,s1518,s1414,s1938,s1449,s1942,s16,s1882,s512,s223,s181]) ).

cnf(s1950,plain,
    ( ~ spl0_100
    | ~ spl0_190
    | spl0_153
    | spl0_189
    | ~ spl0_175
    | spl0_187
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_2 ),
    inference(rat,[],[s1568,s1443,s296,s1584,s729,s1001,s974,s1262,s448,s334,s1635,s1002,s1516,s288,s543]) ).

cnf(s1951,plain,
    ( ~ spl0_98
    | ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1948,s1374,s33,s1327,s1502,s435,s966,s1184,s1946,s183,s1950,s899,s1516,s1373,s621,s943,s1129,s1581,s198,s800,s1611,s1949,s1931,s1614,s1518,s1414,s1725,s1938,s1449,s1942,s16,s1882,s288,s181,s841,s223,s1400]) ).

cnf(s1952,plain,
    ( ~ spl0_30
    | ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1534,s334,s331,s1623,s626,s1536,s723,s639,s1581,s198,s800,s1611,s1944,s183,s297,s1933,s1153,s184,s1951,s1931,s16,s1882,s223,s288,s181]) ).

cnf(s1953,plain,
    ( ~ spl0_187
    | ~ spl0_33
    | ~ spl0_57
    | ~ spl0_29
    | ~ spl0_81
    | ~ spl0_102
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s183,s1635,s1922,s621,s943,s1590,s919,s1073,s181,s512,s223]) ).

cnf(s1954,plain,
    ( ~ spl0_102
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1584,s1453,s974,s1443,s334,s1262,s729,s1002,s1635,s1852,s183,s1855,s800,s621,s943,s1602,s1259,s1953,s33,s1502,s1184,s1265,s32,s1952,s1725,s1938,s16,s1882,s1614,s543,s288,s181,s1400]) ).

cnf(s1955,plain,
    ( ~ spl0_51
    | ~ spl0_118
    | ~ spl0_100
    | ~ spl0_103
    | ~ spl0_152 ),
    inference(rat,[],[s622,s1698,s1635,s786,s1362]) ).

cnf(s1956,plain,
    ( ~ spl0_100
    | spl0_170
    | spl0_122
    | spl0_175
    | ~ spl0_30
    | ~ spl0_103
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s1612,s1353,s1635,s621,s1725,s1955,s198,s1624,s639,s1648,s1639,s334,s852,s974,s986,s1584,s1453,s181,s543]) ).

cnf(s1957,plain,
    ( spl0_166
    | ~ spl0_101
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_103
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s593,s1524,s584,s1300,s1130,s186,s662,s1624,s1939,s184,s198,s249,s1744,s1777,s1632,s943,s869,s1190,s1704,s1073,s1152,s841,s181,s223]) ).

cnf(s1958,plain,
    ( ~ spl0_51
    | ~ spl0_166
    | ~ spl0_101
    | ~ spl0_135
    | spl0_122
    | spl0_175
    | ~ spl0_187
    | ~ spl0_103
    | ~ spl0_18 ),
    inference(rat,[],[s184,s1926,s1742,s249,s1587,s595,s98,s1698,s919,s1640,s1662,s1082,s1066,s435,s1254,s587,s1152,s645,s642,s1584,s852,s181,s223,s288,s543]) ).

cnf(s1959,plain,
    ( ~ spl0_98
    | ~ spl0_173
    | ~ spl0_135
    | spl0_122
    | spl0_175
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_18 ),
    inference(rat,[],[s775,s1524,s297,s1300,s625,s186,s1939,s249,s1926,s662,s1067,s1492,s841,s288,s181,s223,s512]) ).

cnf(s1960,plain,
    ( ~ spl0_187
    | ~ spl0_30
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s695,s1573,s584,s1257,s198,s953,s296,s1056,s916,s1054,s1744,s969,s184,s1959,s645,s642,s1584,s852,s1957,s334,s1244,s1152,s183,s1956,s388,s1704,s869,s1073,s1190,s1614,s185,s1954,s288,s181,s543,s1400]) ).

cnf(s1961,plain,
    ( ~ spl0_170
    | ~ spl0_100
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | ~ spl0_103
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s184,s1373,s709,s1288,s1524,s461,s297,s1652,s334,s1002,s1056,s1632,s198,s1129,s249,s583,s845,s846,s1704,s388,s181,s841,s288,s223]) ).

cnf(s1962,plain,
    ( ~ spl0_98
    | ~ spl0_129
    | ~ spl0_94
    | spl0_159
    | spl0_122
    | ~ spl0_103
    | ~ spl0_18 ),
    inference(rat,[],[s1524,s1287,s1567,s1351,s624,s337,s1584,s841,s543]) ).

cnf(s1963,plain,
    ( ~ spl0_100
    | spl0_122
    | spl0_187
    | ~ spl0_30
    | ~ spl0_103
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1567,s960,s1524,s899,s709,s1427,s184,s1962,s249,s846,s337,s1704,s297,s877,s1652,s392,s334,s1584,s1002,s950,s986,s1639,s1056,s1624,s639,s1129,s198,s800,s1611,s1956,s1961,s841,s181,s223,s288,s543]) ).

cnf(s1964,plain,
    ( spl0_166
    | ~ spl0_101
    | spl0_122
    | spl0_187
    | ~ spl0_103
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1540,s425,s623,s1691,s469,s296,s351,s958,s1054,s184,s1947,s1646,s1704,s901,s845,s800,s249,s639,s1632,s1639,s288,s181,s1346,s223]) ).

cnf(s1965,plain,
    ( ~ spl0_173
    | ~ spl0_196
    | ~ spl0_194
    | ~ spl0_4 ),
    inference(rat,[],[s1043,s1063,s1067]) ).

cnf(s1966,plain,
    ( ~ spl0_98
    | ~ spl0_191
    | ~ spl0_106
    | ~ spl0_129
    | spl0_159
    | ~ spl0_101
    | spl0_122
    | spl0_187
    | ~ spl0_103
    | ~ spl0_18 ),
    inference(rat,[],[s1945,s297,s1381,s1962,s288]) ).

cnf(s1967,plain,
    ( ~ spl0_108
    | spl0_159
    | ~ spl0_101
    | spl0_122
    | spl0_187
    | ~ spl0_103
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1570,s358,s960,s1524,s899,s296,s709,s1427,s1054,s184,s1966,s950,s1624,s198,s1129,s249,s583,s845,s846,s1584,s841,s288,s181,s223,s543]) ).

cnf(s1968,plain,
    ( ~ spl0_98
    | spl0_193
    | ~ spl0_106
    | ~ spl0_191
    | ~ spl0_135
    | ~ spl0_101
    | spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1577,s1524,s297,s1288,s1945,s1373,s1381,s662,s950,s841,s288]) ).

cnf(s1969,plain,
    ( ~ spl0_30
    | spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1568,s296,s745,s1054,s184,s1968,s1129,s198,s800,s1611,s1074,s1965,s1063,s645,s388,s1704,s1967,s642,s1584,s852,s1964,s183,s1963,s1449,s1064,s1960,s1931,s16,s1882,s1614,s185,s1954,s288,s181,s543,s1400]) ).

cnf(s1970,plain,
    ( spl0_166
    | spl0_122
    | ~ spl0_187
    | ~ spl0_29
    | ~ spl0_103
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s1635,s919,s621,s1265,s1725,s1955,s183,s639,s1922,s1639,s943,s181]) ).

cnf(s1971,plain,
    ( ~ spl0_187
    | ~ spl0_29
    | ~ spl0_103
    | ~ spl0_152
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1387,s416,s1452,s1628,s33,s1103,s1502,s919,s1184,s618,s1265,s1725,s1403,s1067,s1958,s1152,s645,s183,s642,s1453,s1584,s852,s1970,s388,s1704,s869,s1492,s1073,s1190,s288,s181,s543,s512]) ).

cnf(s1972,plain,
    ( spl0_166
    | spl0_170
    | spl0_175
    | spl0_122
    | spl0_187
    | ~ spl0_103
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s974,s334,s1584,s1002,s1453,s183,s1964,s943,s543,s181]) ).

cnf(s1973,plain,
    ( spl0_163
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s642,s645,s1584,s852,s1972,s1965,s1492,s388,s800,s1704,s1602,s1406,s1449,s1064,s1971,s32,s1969,s185,s1954,s1614,s1931,s16,s1882,s543,s512,s181,s1400]) ).

cnf(s1975,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | ~ spl0_30
    | ~ spl0_187
    | ~ spl0_163
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s33,s1900,s1387,s1646,s1235,s1599,s348,s658,s986,s1584,s1889,s1959,s1901,s869,s1190,s1704,s1073,s288,s181,s1346,s543]) ).

cnf(s1976,plain,
    ( ~ spl0_100
    | ~ spl0_102
    | spl0_166
    | ~ spl0_30
    | ~ spl0_187
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s186,s625,s1117,s1631,s584,s744,s1575,s1451,s953,s1599,s986,s1584,s1453,s1199,s461,s334,s1646,s1524,s1534,s1197,s958,s1287,s296,s331,s1681,s1932,s1536,s1592,s297,s916,s1153,s969,s184,s1975,s1931,s16,s1882,s1973,s1190,s181,s1346,s543,s841,s223,s288]) ).

cnf(s1977,plain,
    ( ~ spl0_102
    | spl0_166
    | ~ spl0_30
    | ~ spl0_187
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1561,s1544,s1524,s1451,s1298,s1300,s1643,s186,s729,s1939,s718,s249,s1928,s1926,s662,s1149,s184,s1698,s1933,s902,s735,s183,s1976,s1931,s16,s1882,s1973,s869,s1190,s1704,s1073,s1489,s58,s841,s181,s288,s223]) ).

cnf(s1978,plain,
    ( spl0_166
    | ~ spl0_30
    | ~ spl0_187
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s33,s1900,s1387,s1646,s1235,s1599,s348,s658,s986,s958,s1584,s184,s1453,s1975,s183,s249,s1957,s1632,s388,s185,s1977,s16,s1882,s1973,s869,s1190,s1704,s1073,s288,s181,s1346,s543,s223]) ).

cnf(s1979,plain,
    ( ~ spl0_100
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_187
    | ~ spl0_163
    | ~ spl0_22
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s584,s297,s1257,s953,s334,s1153,s1581,s916,s1025,s1043,s185,s969,s1067,s388,s184,s1889,s1453,s1975,s1492,s1190,s1704,s1073,s1584,s852,s288,s223,s181,s543,s512]) ).

cnf(s1980,plain,
    ( ~ spl0_102
    | ~ spl0_101
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_135
    | spl0_122
    | spl0_175
    | spl0_117
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1926,s184,s249,s1933,s1261,s181,s223]) ).

cnf(s1981,plain,
    ( ~ spl0_30
    | ~ spl0_187
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s33,s1502,s1387,s416,s1248,s1452,s1066,s1067,s645,s642,s185,s1980,s1103,s902,s183,s1979,s1584,s1519,s852,s1978,s1931,s16,s1882,s1973,s1492,s869,s1190,s1704,s1073,s288,s181,s543,s512]) ).

cnf(s1982,plain,
    ( ~ spl0_98
    | ~ spl0_29
    | ~ spl0_135
    | spl0_175
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s1293,s1370,s665,s899,s1524,s1516,s1288,s1364,s1901,s841]) ).

cnf(s1983,plain,
    ( spl0_189
    | ~ spl0_29
    | ~ spl0_187
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1631,s1067,s743,s1646,s950,s986,s1197,s1404,s296,s1861,s183,s1922,s1492,s1287,s958,s1364,s899,s1367,s969,s184,s1982,s1704,s1073,s1190,s1346,s288,s181,s841,s512]) ).

cnf(s1984,plain,
    ( ~ spl0_187
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s358,s1570,s296,s953,s1404,s1150,s1265,s1584,s1519,s852,s943,s1983,s1524,s1287,s1364,s916,s969,s184,s1982,s32,s1981,s1704,s1073,s1190,s16,s1882,s1973,s288,s543,s841,s181]) ).

cnf(s1985,plain,
    ( ~ spl0_100
    | spl0_173
    | spl0_189
    | ~ spl0_30
    | spl0_187
    | ~ spl0_163
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1631,s1646,s846,s1604,s1889,s1451,s743,s1584,s692,s974,s334,s1002,s1346,s181,s543]) ).

cnf(s1986,plain,
    ( spl0_175
    | spl0_166
    | ~ spl0_30
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1184,s433,s98,s1082,s1437,s1935,s198,s1129,s249,s583,s845,s846,s1704,s1947,s184,s1933,s185,s1698,s1964,s735,s183,s1985,s1965,s1492,s1931,s1973,s1064,s1449,s1984,s16,s1882,s943,s223,s181,s512]) ).

cnf(s1987,plain,
    ( ~ spl0_135
    | ~ spl0_119
    | spl0_171
    | ~ spl0_98
    | spl0_169
    | ~ spl0_101 ),
    inference(rat,[],[s1151,s186,s297,s667,s1578,s1369,s662,s899,s181,s288,s841]) ).

cnf(s1988,plain,
    ( spl0_166
    | ~ spl0_30
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1936,s1725,s98,s618,s1437,s1935,s249,s846,s1704,s1987,s1524,s1516,s1288,s1373,s184,s1698,s1933,s1084,s735,s183,s1985,s185,s626,s1639,s639,s1129,s198,s800,s1611,s1986,s943,s1931,s1973,s1449,s1984,s16,s1882,s223,s841,s181]) ).

cnf(s1990,plain,
    ( ~ spl0_48
    | spl0_51
    | ~ spl0_30
    | ~ spl0_163
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1387,s1762,s33,s1502,s1643,s576,s288,s181]) ).

cnf(s1991,plain,
    ( ~ spl0_30
    | ~ spl0_18
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s950,s1498,s1063,s1627,s1985,s183,s902,s1646,s1379,s1511,s1604,s1824,s73,s1451,s82,s1990,s1414,s1519,s1988,s1973,s1064,s1984,s181,s1346]) ).

cnf(s1992,plain,
    ( ~ spl0_100
    | spl0_189
    | spl0_173
    | spl0_108
    | spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s974,s334,s1584,s1002,s1889,s543]) ).

cnf(s1993,plain,
    ( ~ spl0_101
    | ~ spl0_99
    | ~ spl0_118
    | ~ spl0_29
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1058,s1498,s296,s950,s1646,s1054,s1403,s901,s288,s1346]) ).

cnf(s1994,plain,
    ( ~ spl0_18
    | ~ spl0_28
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_24 ),
    inference(rat,[],[s852,s943,s1584,s1992,s1889,s183,s1993,s1965,s184,s1492,s1982,s800,s1704,s1602,s1406,s32,s1991,s1064,s1984,s16,s1882,s512,s181,s543]) ).

cnf(s1995,plain,
    ( ~ spl0_171
    | ~ spl0_159
    | spl0_189
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1563,s668,s1516,s334,s974,s288]) ).

cnf(s1996,plain,
    ( ~ spl0_127
    | ~ spl0_159
    | spl0_189
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1563,s649,s1288,s334,s974,s288]) ).

cnf(s1997,plain,
    ( ~ spl0_98
    | spl0_127
    | spl0_116
    | ~ spl0_135 ),
    inference(rat,[],[s665,s1293,s1524,s841]) ).

cnf(s1999,plain,
    ( ~ spl0_97
    | ~ spl0_119
    | spl0_116
    | spl0_108 ),
    inference(rat,[],[s1304,s975,s1704]) ).

cnf(s2000,plain,
    ( ~ spl0_159
    | spl0_189
    | spl0_166
    | spl0_122
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s297,s1153,s185,s1632,s249,s584,s1939,s1117,s186,s1999,s953,s916,s969,s184,s1997,s1524,s1996,s1370,s899,s1995,s334,s974,s986,s1190,s1704,s1073,s288,s181,s223,s841]) ).

cnf(s2001,plain,
    ( ~ spl0_20
    | ~ spl0_98
    | spl0_168
    | spl0_191
    | spl0_159
    | spl0_189
    | ~ spl0_187
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s297,s1071,s33,s1350,s1351,s249,s733,s998,s296,s198,s953,s584,s1563,s1373,s916,s1321,s1516,s1369,s603,s1129,s918,s1729,s1994,s869,s1190,s1704,s1073,s334,s288,s543,s1346,s223]) ).

cnf(s2002,plain,
    ( spl0_118
    | spl0_117
    | ~ spl0_98
    | spl0_168
    | spl0_191
    | ~ spl0_101
    | spl0_159
    | spl0_189
    | ~ spl0_135
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s297,s1071,s33,s1350,s1681,s1309,s186,s733,s401,s296,s953,s584,s1563,s916,s1321,s1516,s1369,s603,s334,s288,s543,s1346,s181]) ).

cnf(s2003,plain,
    ( spl0_190
    | ~ spl0_106
    | spl0_158
    | ~ spl0_98
    | ~ spl0_147
    | ~ spl0_101
    | spl0_189
    | spl0_175
    | ~ spl0_4 ),
    inference(rat,[],[s1321,s584,s898,s1130,s1294,s186,s401,s296,s1563,s1373,s181,s288]) ).

cnf(s2004,plain,
    ( spl0_166
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s296,s1568,s1385,s1516,s2003,s198,s1354,s2002,s1931,s16,s2001,s662,s184,s334,s1744,s1244,s1152,s183,s1453,s1584,s2000,s1440,s943,s1729,s1994,s869,s1190,s1704,s1073,s288,s1346,s181,s543]) ).

cnf(s2005,plain,
    ( ~ spl0_159
    | spl0_189
    | ~ spl0_98
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1370,s1997,s899,s1996,s1995,s1190,s1704,s1073,s841]) ).

cnf(s2006,plain,
    ( spl0_189
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1563,s296,s334,s733,s1025,s1516,s1067,s1369,s1889,s392,s1584,s2005,s1492,s1190,s1704,s1073,s288,s543,s512]) ).

cnf(s2007,plain,
    ( ~ spl0_171
    | spl0_151
    | ~ spl0_147
    | ~ spl0_159
    | ~ spl0_4 ),
    inference(rat,[],[s695,s1247,s296,s584,s668,s1321,s288]) ).

cnf(s2008,plain,
    ( spl0_151
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s695,s1247,s296,s584,s649,s593,s1997,s1370,s899,s2007,s1190,s1704,s1073,s334,s974,s288,s841]) ).

cnf(s2009,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s603,s1369,s1260,s1516,s185,s916,s624,s953,s2008,s986,s1704,s1073,s181]) ).

cnf(s2010,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s695,s1247,s953,s296,s334,s584,s916,s733,s1025,s1043,s1321,s1516,s1067,s1369,s1889,s392,s1584,s2009,s1492,s1190,s1704,s1073,s288,s543,s512]) ).

cnf(s2011,plain,
    ( ~ spl0_94
    | ~ spl0_107
    | spl0_151
    | spl0_168 ),
    inference(rat,[],[s1575,s1199,s334]) ).

cnf(s2012,plain,
    ( ~ spl0_53
    | ~ spl0_118
    | ~ spl0_173
    | ~ spl0_169
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s1103,s1066,s1353,s1248,s576,s288,s181]) ).

cnf(s2013,plain,
    ( spl0_189
    | ~ spl0_159
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1614,s1955,s1519,s1502,s2012,s1490,s1641,s1646,s1071,s1197,s1501,s871,s33,s185,s1651,s1153,s297,s2011,s249,s584,s1939,s1117,s186,s1999,s1524,s296,s1996,s1563,s605,s1073,s1370,s899,s2007,s334,s974,s953,s986,s916,s969,s1190,s1400,s1346,s181,s841,s1489,s288,s223]) ).

cnf(s2014,plain,
    ( ~ spl0_93
    | spl0_118
    | ~ spl0_189
    | spl0_116
    | spl0_171
    | ~ spl0_159
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_166
    | spl0_108
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_24 ),
    inference(rat,[],[s1646,s1197,s1627,s1501,s871,s33,s185,s1651,s1153,s297,s944,s249,s584,s1939,s1117,s186,s1999,s1524,s649,s1346,s181,s841,s1489,s288,s223]) ).

cnf(s2015,plain,
    ( spl0_118
    | ~ spl0_189
    | spl0_116
    | spl0_171
    | ~ spl0_147
    | spl0_191
    | ~ spl0_159
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_166
    | spl0_108
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_24 ),
    inference(rat,[],[s695,s584,s1147,s1257,s186,s198,s1310,s1056,s1691,s185,s783,s1153,s297,s1566,s935,s296,s2014,s953,s916,s969,s600,s181,s288]) ).

cnf(s2016,plain,
    ( ~ spl0_51
    | ~ spl0_118
    | ~ spl0_100
    | ~ spl0_166 ),
    inference(rat,[],[s1614,s1955,s1519,s185,s1260,s1400,s181]) ).

cnf(s2017,plain,
    ( ~ spl0_93
    | spl0_51
    | ~ spl0_95
    | ~ spl0_118
    | spl0_116
    | spl0_171
    | ~ spl0_159
    | ~ spl0_166
    | spl0_108
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1641,s249,s2012,s1071,s1197,s1939,s1502,s1501,s186,s33,s1999,s1651,s1524,s649,s605,s185,s1260,s223,s181,s841,s1489]) ).

cnf(s2018,plain,
    ( ~ spl0_159
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s695,s1247,s296,s2017,s2016,s297,s944,s584,s1257,s198,s1056,s185,s1260,s2015,s2013,s1370,s899,s2007,s334,s953,s974,s986,s1190,s1073,s916,s969,s288,s181,s841]) ).

cnf(s2019,plain,
    ( ~ spl0_100
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1575,s1199,s584,s297,s1257,s334,s953,s1153,s1581,s1025,s1043,s185,s1067,s388,s1889,s1453,s1584,s2018,s916,s969,s184,s2010,s1492,s1190,s1704,s1073,s288,s223,s181,s543,s512]) ).

cnf(s2020,plain,
    ( ~ spl0_159
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1354,s198,s1310,s1056,s186,s1691,s185,s1151,s783,s1153,s297,s600,s1566,s2007,s935,s953,s296,s916,s1054,s1744,s969,s184,s2009,s1152,s334,s1244,s183,s2019,s1346,s181,s288]) ).

cnf(s2021,plain,
    ( spl0_171
    | ~ spl0_98
    | ~ spl0_147
    | ~ spl0_101
    | ~ spl0_166
    | ~ spl0_135
    | spl0_175
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2003,s1056,s198,s185,s1288,s1354,s1260,s1997,s603,s1370,s1369,s899,s662,s181,s1346,s841]) ).

cnf(s2022,plain,
    ( ~ spl0_98
    | spl0_168
    | spl0_191
    | ~ spl0_101
    | ~ spl0_166
    | ~ spl0_135
    | spl0_175
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1261,s249,s185,s601,s877,s1310,s603,s1354,s198,s775,s1373,s1524,s1130,s1300,s186,s1691,s1151,s783,s297,s2011,s953,s584,s916,s1321,s1516,s2021,s662,s334,s223,s181,s1346,s841,s288]) ).

cnf(s2023,plain,
    ( ~ spl0_187
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1067,s775,s645,s1524,s642,s1300,s185,s186,s1153,s1151,s297,s1566,s354,s935,s296,s916,s1054,s969,s184,s2022,s1584,s2020,s334,s1244,s1152,s183,s2019,s2004,s1704,s1492,s1073,s1190,s1729,s1994,s841,s181,s288,s543,s512]) ).

cnf(s2024,plain,
    ( ~ spl0_33
    | spl0_127
    | ~ spl0_166
    | ~ spl0_95 ),
    inference(rat,[],[s1651,s1489,s841]) ).

cnf(s2025,plain,
    ( spl0_150
    | spl0_161 ),
    inference(rat,[],[s1646,s1346]) ).

cnf(s2027,plain,
    ( ~ spl0_115
    | ~ spl0_96
    | ~ spl0_30
    | spl0_181 ),
    inference(rat,[],[s1626,s1489]) ).

cnf(s2028,plain,
    ( ~ spl0_115
    | ~ spl0_96
    | ~ spl0_30
    | ~ spl0_109 ),
    inference(rat,[],[s1622,s1489]) ).

cnf(s2029,plain,
    ( spl0_152
    | spl0_163 ),
    inference(rat,[],[s1616,s223]) ).

cnf(s2031,plain,
    ( spl0_152
    | spl0_163 ),
    inference(rat,[],[s1614,s1400]) ).

cnf(s2034,plain,
    ( ~ spl0_190
    | ~ spl0_99
    | ~ spl0_30
    | ~ spl0_123 ),
    inference(rat,[],[s1600,s223]) ).

cnf(s2039,plain,
    ( ~ spl0_102
    | ~ spl0_33
    | spl0_108
    | ~ spl0_166 ),
    inference(rat,[],[s1590,s223,s512]) ).

cnf(s2041,plain,
    ( ~ spl0_99
    | spl0_108
    | ~ spl0_10
    | ~ spl0_190 ),
    inference(rat,[],[s1588,s512]) ).

cnf(s2042,plain,
    ( spl0_156
    | spl0_159 ),
    inference(rat,[],[s1584,s543]) ).

cnf(s2043,plain,
    ( spl0_109
    | ~ spl0_102
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(rat,[],[s1581,s223]) ).

cnf(s2046,plain,
    ( ~ spl0_168
    | ~ spl0_102
    | ~ spl0_30
    | ~ spl0_166 ),
    inference(rat,[],[s1560,s223]) ).

cnf(s2049,plain,
    ( spl0_105
    | spl0_131 ),
    inference(rat,[],[s1544,s58]) ).

cnf(s2050,plain,
    ( ~ spl0_62
    | ~ spl0_168
    | ~ spl0_163
    | ~ spl0_102 ),
    inference(rat,[],[s1535,s242]) ).

cnf(s2051,plain,
    ( ~ spl0_123
    | ~ spl0_168
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_99 ),
    inference(rat,[],[s1534,s223]) ).

cnf(s2052,plain,
    ( spl0_119
    | spl0_127 ),
    inference(rat,[],[s1524,s841]) ).

cnf(s2056,plain,
    ( ~ spl0_115
    | ~ spl0_33
    | spl0_127
    | ~ spl0_96 ),
    inference(rat,[],[s1504,s1489,s841]) ).

cnf(s2057,plain,
    ( spl0_175
    | spl0_196 ),
    inference(rat,[],[s1492,s512]) ).

cnf(s2058,plain,
    ( spl0_46
    | spl0_48
    | ~ spl0_30 ),
    inference(rat,[],[s1451,s181]) ).

cnf(s2066,plain,
    ( ~ spl0_131
    | ~ spl0_62
    | ~ spl0_93
    | ~ spl0_190 ),
    inference(rat,[],[s1412,s1400]) ).

cnf(s2068,plain,
    ( ~ spl0_93
    | ~ spl0_123
    | ~ spl0_30
    | ~ spl0_190 ),
    inference(rat,[],[s1402,s1346]) ).

cnf(s2070,plain,
    ( spl0_46
    | ~ spl0_33
    | spl0_41 ),
    inference(rat,[],[s1387,s181,s288]) ).

cnf(s2071,plain,
    ( ~ spl0_33
    | ~ spl0_118
    | spl0_159
    | ~ spl0_101 ),
    inference(rat,[],[s1386,s1346,s543]) ).

cnf(s2072,plain,
    ( ~ spl0_93
    | ~ spl0_190
    | ~ spl0_30
    | ~ spl0_101
    | ~ spl0_118 ),
    inference(rat,[],[s1385,s1346]) ).

cnf(s2073,plain,
    ( ~ spl0_93
    | spl0_159
    | ~ spl0_10
    | ~ spl0_190 ),
    inference(rat,[],[s1384,s543]) ).

cnf(s2075,plain,
    ( ~ spl0_109
    | ~ spl0_118
    | ~ spl0_30
    | ~ spl0_101 ),
    inference(rat,[],[s1354,s1346]) ).

cnf(s2077,plain,
    ( ~ spl0_33
    | ~ spl0_128
    | ~ spl0_93
    | spl0_159 ),
    inference(rat,[],[s1350,s1346,s543]) ).

cnf(s2080,plain,
    ( ~ spl0_101
    | ~ spl0_10
    | ~ spl0_109
    | spl0_159 ),
    inference(rat,[],[s1330,s543]) ).

cnf(s2104,plain,
    ( spl0_110
    | spl0_195 ),
    inference(rat,[],[s1103,s288]) ).

cnf(s2119,plain,
    ( spl0_171
    | spl0_186 ),
    inference(rat,[],[s899,s841]) ).

cnf(s2126,plain,
    ( ~ spl0_10
    | spl0_41
    | spl0_48 ),
    inference(rat,[],[s789,s288]) ).

cnf(s2131,plain,
    ( spl0_41
    | spl0_69 ),
    inference(rat,[],[s729,s288]) ).

cnf(s2137,plain,
    ( spl0_132
    | spl0_177 ),
    inference(rat,[],[s569,s181]) ).

cnf(s2138,plain,
    ( spl0_132
    | spl0_177 ),
    inference(rat,[],[s565,s58]) ).

cnf(s2139,plain,
    ( spl0_128
    | spl0_176 ),
    inference(rat,[],[s469,s288]) ).

cnf(s2141,plain,
    ( spl0_53
    | spl0_79 ),
    inference(rat,[],[s435,s288]) ).

cnf(s2144,plain,
    ( spl0_105
    | spl0_131 ),
    inference(rat,[],[s369,s58]) ).

cnf(s2146,plain,
    ( spl0_114
    | spl0_123 ),
    inference(rat,[],[s331,s288]) ).

cnf(s2147,plain,
    ( spl0_152
    | spl0_163 ),
    inference(rat,[],[s306,s223]) ).

cnf(s2148,plain,
    ( spl0_94
    | spl0_95 ),
    inference(rat,[],[s297,s288]) ).

cnf(s2149,plain,
    ( spl0_92
    | spl0_93 ),
    inference(rat,[],[s296,s288]) ).

cnf(s2151,plain,
    ( spl0_115
    | spl0_129 ),
    inference(rat,[],[s249,s223]) ).

cnf(s2152,plain,
    ( spl0_96
    | spl0_97 ),
    inference(rat,[],[s186,s181]) ).

cnf(s2153,plain,
    ( spl0_102
    | spl0_103 ),
    inference(rat,[],[s185,s181]) ).

cnf(s2154,plain,
    ( spl0_99
    | spl0_98 ),
    inference(rat,[],[s184,s181]) ).

cnf(s2155,plain,
    ( spl0_100
    | spl0_101 ),
    inference(rat,[],[s183,s181]) ).

cnf(s2159,plain,
    ( ~ spl0_100
    | ~ spl0_98
    | spl0_170
    | spl0_189
    | spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1001,s2149,s916,s896,s1368,s1303,s659,s198,s584,s1611,s1741,s1453,s2042,s974,s334,s1002]) ).

cnf(s2160,plain,
    ( ~ spl0_159
    | ~ spl0_101
    | ~ spl0_98
    | spl0_189
    | ~ spl0_2 ),
    inference(rat,[],[s1370,s1997,s2119,s1704,s1996,s1995,s474,s853]) ).

cnf(s2161,plain,
    ( spl0_171
    | spl0_158
    | spl0_175
    | ~ spl0_156
    | ~ spl0_101
    | spl0_170 ),
    inference(rat,[],[s401,s2152,s2149,s1294,s1568,s2119]) ).

cnf(s2162,plain,
    ( ~ spl0_147
    | spl0_190
    | ~ spl0_171
    | spl0_158
    | spl0_175
    | spl0_159
    | ~ spl0_101
    | ~ spl0_98
    | spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1071,s2148,s33,s2011,s2077,s953,s999,s985,s1371,s2153,s2152,s1777,s1202,s733,s401,s198,s2149,s2003,s1563,s943,s916,s584,s1321]) ).

cnf(s2163,plain,
    ( spl0_158
    | spl0_175
    | ~ spl0_98
    | spl0_166
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1202,s198,s334,s1303,s2162,s659,s1368,s584,s916,s1321,s1516,s2161,s2042,s2160,s2155,s2159,s1440,s1729,s1994,s2023,s943]) ).

cnf(s2164,plain,
    ( ~ spl0_158
    | ~ spl0_156
    | ~ spl0_101
    | ~ spl0_98
    | spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1310,s1691,s600,s2068,s2072,s1321,s916,s584,s1371,s1372,s1381,s2152,s198,s401,s583,s2149,s1704,s354,s662]) ).

cnf(s2166,plain,
    ( ~ spl0_171
    | ~ spl0_106
    | ~ spl0_98
    | spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1303,s659,s1368,s584,s916,s1321,s1516]) ).

cnf(s2167,plain,
    ( ~ spl0_98
    | spl0_166
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2146,s1310,s2068,s2072,s916,s1371,s2152,s401,s2149,s1568,s600,s2166,s1381,s198,s1611,s2163,s2164,s2042,s2160,s2155,s2159,s2023,s943,s1440,s1729,s1994]) ).

cnf(s2168,plain,
    ( ~ spl0_159
    | ~ spl0_99
    | spl0_189
    | spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1536,s1151,s1691,s2152,s2034,s1999,s1563,s1370,s2149,s474,s853,s1054,s2155,s1002,s2052,s600,s2119,s334,s1996,s1995,s974]) ).

cnf(s2169,plain,
    ( ~ spl0_97
    | spl0_109
    | spl0_116
    | ~ spl0_107 ),
    inference(rat,[],[s1299,s579,s198]) ).

cnf(s2170,plain,
    ( spl0_175
    | ~ spl0_99
    | spl0_170
    | spl0_189
    | spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s948,s2025,s16,s442,s942,s1536,s1691,s2051,s2153,s1632,s2151,s2148,s2027,s1151,s2152,s2169,s1202,s334,s1368,s584,s1563,s916,s1321,s1516,s1568,s2149,s1054,s2155,s1453,s869,s2042,s2168]) ).

cnf(s2171,plain,
    ( ~ spl0_102
    | ~ spl0_168
    | spl0_117
    | ~ spl0_99
    | spl0_166
    | ~ spl0_30 ),
    inference(rat,[],[s1536,s1691,s2148,s2051,s1153]) ).

cnf(s2172,plain,
    ( spl0_166
    | ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s948,s2025,s16,s1010,s1449,s1632,s2153,s2171,s2151,s2027,s2152,s2169,s1368,s916,s584,s1001,s1741,s334,s1002,s2155,s1054,s2149,s1568,s600,s745,s1611,s2170,s2042,s2168,s2154,s2167,s1440,s943,s1729,s1994,s2023]) ).

cnf(s2173,plain,
    ( spl0_190
    | spl0_193
    | ~ spl0_159
    | spl0_116
    | ~ spl0_98
    | ~ spl0_2 ),
    inference(rat,[],[s1247,s695,s2149,s584,s649,s593,s1997,s1704,s583,s198,s953,s1373,s916,s986,s334,s974]) ).

cnf(s2174,plain,
    ( ~ spl0_159
    | ~ spl0_100
    | spl0_116
    | ~ spl0_98
    | spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1056,s2153,s198,s1014,s583,s1704,s1997,s1288,s2173,s1648,s1002,s334,s974]) ).

cnf(s2175,plain,
    ( ~ spl0_100
    | spl0_116
    | spl0_173
    | spl0_175
    | ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s1371,s2152,s916,s1119,s1288,s2052,s461,s2148,s1652,s334,s1623,s723,s1381,s198,s583,s1889,s1453,s2042,s2174]) ).

cnf(s2176,plain,
    ( ~ spl0_159
    | ~ spl0_101
    | spl0_175
    | ~ spl0_98
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s200,s2022,s853,s974,s986]) ).

cnf(s2177,plain,
    ( spl0_171
    | spl0_175
    | ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s200,s2022,s1119,s1025,s1043,s2052,s1578,s461,s2148,s1151,s2152,s1294,s2161,s2164,s2042,s2176,s2155,s2175,s1370,s2119,s1965,s2057,s1064]) ).

cnf(s2178,plain,
    ( spl0_175
    | ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1705,s877,s985,s950,s603,s2022,s2075,s1202,s2155,s1704,s2175,s583,s1368,s198,s916,s2166,s1516,s2177,s1965,s2057,s1064]) ).

cnf(s2179,plain,
    ( ~ spl0_127
    | spl0_192
    | ~ spl0_175
    | spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1371,s2152,s916,s1191,s1288]) ).

cnf(s2180,plain,
    ( ~ spl0_100
    | ~ spl0_119
    | spl0_189
    | ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1652,s461,s334,s2159,s1002]) ).

cnf(s2181,plain,
    ( ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_32
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1040,s660,s1063,s334,s1945,s1652,s2148,s1578,s2164,s2042,s1084,s474,s2155,s2180,s2052,s2179,s1056,s2119,s2153,s2166,s1381,s2043,s198,s1611,s2178,s1064]) ).

cnf(s2182,plain,
    ( ~ spl0_92
    | spl0_151
    | spl0_181
    | ~ spl0_147 ),
    inference(rat,[],[s1247,s695,s584]) ).

cnf(s2183,plain,
    ( ~ spl0_109
    | ~ spl0_159
    | spl0_116
    | spl0_171
    | spl0_173
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1641,s2151,s1197,s2027,s1501,s2152,s33,s1999,s2024,s2052,s649,s2149,s2182,s2153,s1153,s2148,s2011,s953,s584,s916,s605,s1257,s1049,s583,s986,s334,s974]) ).

cnf(s2184,plain,
    ( ~ spl0_159
    | spl0_116
    | spl0_171
    | ~ spl0_100
    | spl0_173
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s723,s1623,s198,s2183,s334,s974]) ).

cnf(s2185,plain,
    ( ~ spl0_156
    | ~ spl0_100
    | spl0_173
    | spl0_175
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_2 ),
    inference(rat,[],[s1652,s334,s2148,s1623,s461,s723,s2052,s198,s709,s583,s1889,s1453]) ).

cnf(s2186,plain,
    ( spl0_171
    | ~ spl0_100
    | spl0_173
    | spl0_175
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_2 ),
    inference(rat,[],[s1370,s2184,s2119,s2042,s2185]) ).

cnf(s2187,plain,
    ( ~ spl0_100
    | spl0_173
    | spl0_175
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s953,s916,s2007,s1516,s2186,s334,s974,s986,s2042,s2185]) ).

cnf(s2188,plain,
    ( spl0_109
    | ~ spl0_147
    | ~ spl0_159
    | spl0_173
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_4 ),
    inference(rat,[],[s660,s1625,s2153,s2043,s198]) ).

cnf(s2189,plain,
    ( ~ spl0_159
    | ~ spl0_92
    | spl0_173
    | ~ spl0_99
    | ~ spl0_166
    | ~ spl0_30
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s953,s2182,s916,s1257,s1049,s2188,s334,s974,s986]) ).

cnf(s2190,plain,
    ( spl0_171
    | ~ spl0_156
    | ~ spl0_92
    | ~ spl0_101
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s953,s2182,s916,s334,s593,s1288,s1025,s1043,s2052,s1578,s461,s2148,s1151,s2152,s1294,s1568,s2119,s354]) ).

cnf(s2191,plain,
    ( ~ spl0_147
    | spl0_181
    | spl0_190
    | ~ spl0_92
    | ~ spl0_101
    | spl0_187 ),
    inference(rat,[],[s1945,s2148,s953,s944,s2182,s1563,s935,s916,s584]) ).

cnf(s2192,plain,
    ( spl0_175
    | ~ spl0_99
    | ~ spl0_166
    | spl0_187
    | ~ spl0_30
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s642,s645,s2153,s2046,s334,s2191,s1704,s1427,s1321,s1516,s2190,s2042,s2189,s2149,s1054,s2155,s2187,s1965,s2057,s1064]) ).

cnf(s2193,plain,
    ( ~ spl0_159
    | spl0_109
    | ~ spl0_166
    | ~ spl0_194
    | ~ spl0_30
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2188,s334,s1063,s974,s986]) ).

cnf(s2194,plain,
    ( spl0_168
    | ~ spl0_156
    | ~ spl0_103
    | ~ spl0_106
    | ~ spl0_175
    | ~ spl0_99
    | spl0_187 ),
    inference(rat,[],[s1709,s1578,s1044,s354,s2182,s2149,s960,s1063,s1054,s1084,s656,s2155,s660,s1002,s334,s1064,s2119,s745,s1056]) ).

cnf(s2195,plain,
    ( ~ spl0_30
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2169,s1368,s2152,s584,s916,s1191,s593,s1288,s2052,s1567,s337,s2148,s960,s1652,s1025,s2194,s2042,s2193,s2153,s2119,s2043,s198,s745,s1611,s2192,s2154,s2181,s2172,s1064,s2023,s1729,s1994]) ).

cnf(s2196,plain,
    ( ~ spl0_98
    | spl0_166
    | ~ spl0_187
    | spl0_175
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s942,s16,s2002,s2001,s1516,s1403,s1244,s1152,s2161,s2042,s2155,s662,s2005,s2006,s24,s2195,s1704,s1073,s943,s1440,s1729,s1994]) ).

cnf(s2197,plain,
    ( spl0_166
    | ~ spl0_187
    | spl0_175
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1563,s2149,s334,s1404,s974,s986,s2042,s1453,s2155,s1364,s1744,s969,s2154,s2196,s1440,s943,s1729,s1994,s24,s2195]) ).

cnf(s2198,plain,
    ( ~ spl0_98
    | ~ spl0_166
    | ~ spl0_187
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1710,s2182,s1404,s953,s1364,s916,s1321,s1516,s1369,s603,s334,s1403,s1244,s1152,s2155,s2010,s1704,s1073]) ).

cnf(s2199,plain,
    ( ~ spl0_159
    | ~ spl0_147
    | ~ spl0_128
    | ~ spl0_188
    | ~ spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1999,s2152,s2052,s1117,s593,s1370,s2182,s2119,s2149,s2007,s1404,s953,s986,s1073]) ).

cnf(s2200,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_147
    | ~ spl0_128
    | ~ spl0_188
    | ~ spl0_99
    | spl0_108
    | spl0_175
    | ~ spl0_29
    | ~ spl0_4 ),
    inference(rat,[],[s935,s1566,s2149,s2148,s1404,s1153,s1043,s2153,s1067,s388,s1889,s1453,s2057,s1704]) ).

cnf(s2201,plain,
    ( ~ spl0_147
    | ~ spl0_99
    | ~ spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1321,s2190,s2182,s1710,s953,s1054,s1152,s2155,s2200,s2042,s2199,s1073,s916,s1364,s969]) ).

cnf(s2202,plain,
    ( ~ spl0_187
    | spl0_175
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1889,s2155,s1067,s2042,s1244,s1025,s974,s334,s2201,s2154,s2198,s2197,s1073,s1729,s1994,s24,s2195,s2057]) ).

cnf(s2203,plain,
    ( spl0_171
    | ~ spl0_31
    | ~ spl0_98
    | ~ spl0_101
    | spl0_170
    | spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_2 ),
    inference(rat,[],[s326,s593,s1567,s584,s337,s2169,s583,s2148,s2152,s1704,s1071,s1603,s662,s960,s1370,s1501,s2161,s2119,s950,s2042,s986,s1403,s1602]) ).

cnf(s2204,plain,
    ( spl0_168
    | spl0_170
    | spl0_189
    | spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s624,s2011,s2153,s2148,s985,s1071,s198,s584,s1364,s2166,s1321,s1516,s2203,s33,s2154,s950,s1855,s1993,s1403,s2155,s1002,s334,s1602]) ).

cnf(s2205,plain,
    ( spl0_166
    | spl0_175
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2166,s2203,s198,s33,s2154,s1202,s1855,s1993,s2155,s1453,s2042,s974,s2204,s1440,s943,s1729,s1994,s1602,s2202,s24,s2195]) ).

cnf(s2206,plain,
    ( ~ spl0_159
    | ~ spl0_147
    | spl0_151
    | ~ spl0_98
    | spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2174,s1370,s2155,s2119,s1403,s2007,s986,s1602]) ).

cnf(s2207,plain,
    ( spl0_168
    | ~ spl0_98
    | ~ spl0_103
    | spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s642,s645,s2042,s2206,s1704,s583,s198,s656,s660,s334,s1965,s1064,s2057,s624]) ).

cnf(s2209,plain,
    ( ~ spl0_100
    | ~ spl0_108
    | ~ spl0_168
    | ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | ~ spl0_29
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1452,s1443,s2070,s2131,s1444,s1635,s33,s1554,s2031,s1502,s2141,s1169,s1184,s1265,s2016,s2159,s1602,s1025,s1056,s198,s583,s2153,s1259]) ).

cnf(s2210,plain,
    ( ~ spl0_98
    | ~ spl0_166
    | spl0_187
    | spl0_175
    | ~ spl0_29
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2169,s584,s2152,s1109,s401,s2149,s2190,s2155,s2209,s1370,s2119,s2166,s198,s583,s1704,s645,s642,s2042,s974,s2207,s1965,s1064,s2057,s2153,s1259]) ).

cnf(s2211,plain,
    ( ~ spl0_109
    | ~ spl0_33
    | spl0_133
    | ~ spl0_57
    | ~ spl0_100
    | ~ spl0_103
    | ~ spl0_166
    | spl0_173
    | ~ spl0_2 ),
    inference(rat,[],[s2070,s851,s1452,s1640,s2042,s1698,s1889,s1205,s583]) ).

cnf(s2212,plain,
    ( spl0_175
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1541,s2148,s1572,s1169,s1025,s2024,s2052,s334,s709,s1002,s1992,s1056,s198,s2211,s33,s1082,s1502,s2141,s1184,s1265,s1518,s2016,s2155,s1993,s2154,s2210,s2153,s1259,s2205,s1965,s1602,s1064,s2202,s2057,s24,s2195]) ).

cnf(s2213,plain,
    ( ~ spl0_101
    | ~ spl0_28
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1567,s337,s960,s2148,s2052,s2119,s1945,s2179,s2166,s1381,s2154,s2042,s1993,s1403,s1084,s474,s1602,s1190,s24,s2195,s198,s1611,s2212]) ).

cnf(s2214,plain,
    ( spl0_166
    | ~ spl0_100
    | ~ spl0_175
    | ~ spl0_29
    | ~ spl0_32
    | ~ spl0_28
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1708,s2169,s1603,s1368,s1364,s916,s1001,s584,s2149,s1741,s1568,s2042,s745,s974,s2154,s334,s2159,s1002,s1440,s943,s1190,s1611]) ).

cnf(s2215,plain,
    ( ~ spl0_28
    | ~ spl0_24
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(rat,[],[s1364,s2077,s1001,s2149,s1062,s2154,s2209,s1704,s877,s1635,s392,s2031,s1554,s2042,s1169,s1025,s974,s334,s33,s1002,s1502,s2141,s1056,s1184,s2153,s1265,s1259,s2016,s2214,s2155,s2213,s198,s1602,s1611,s1190,s2212,s24,s2195,s1729,s1994]) ).

cnf(s2216,plain,
    ( ~ spl0_190
    | ~ spl0_98
    | ~ spl0_135
    | spl0_175
    | ~ spl0_2 ),
    inference(rat,[],[s1370,s2119,s1997,s1516,s1288]) ).

cnf(s2217,plain,
    ( ~ spl0_159
    | ~ spl0_188
    | ~ spl0_98
    | ~ spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s953,s2008,s986]) ).

cnf(s2218,plain,
    ( spl0_168
    | spl0_181
    | spl0_151
    | ~ spl0_171
    | ~ spl0_101
    | spl0_159
    | spl0_190
    | ~ spl0_98
    | spl0_122
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(rat,[],[s33,s1071,s2077,s1351,s2151,s251,s198,s1373,s1130,s2152,s2148,s733,s401,s2011,s2149,s2182,s334,s584]) ).

cnf(s2219,plain,
    ( spl0_170
    | spl0_159
    | spl0_190
    | spl0_158
    | ~ spl0_98
    | ~ spl0_187
    | spl0_175
    | ~ spl0_15
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s1244,s2218,s1321,s953,s2161,s1152,s2155,s1453,s869,s916,s2042]) ).

cnf(s2220,plain,
    ( ~ spl0_98
    | ~ spl0_187
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1258,s2218,s1369,s1351,s953,s603,s2151,s1152,s1260,s1261,s2155,s2153,s2010,s1027,s388,s1440,s2219,s2217,s916,s2216,s662,s1729,s589,s669,s2215,s869,s1704,s1073]) ).

cnf(s2221,plain,
    ( ~ spl0_109
    | spl0_151
    | spl0_168
    | spl0_166
    | ~ spl0_99
    | spl0_122
    | ~ spl0_15 ),
    inference(rat,[],[s1153,s2153,s2148,s1639,s2011,s639,s584,s1121,s1257]) ).

cnf(s2222,plain,
    ( spl0_166
    | ~ spl0_100
    | ~ spl0_187
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s329,s549,s1536,s2011,s2148,s1153,s2153,s1624,s198,s2221,s600,s1648,s2007,s334,s953,s974,s986,s2042,s1453,s1440,s1729,s589,s669,s2215,s869,s916,s969,s2154,s2220]) ).

cnf(s2223,plain,
    ( ~ spl0_109
    | spl0_171
    | ~ spl0_159
    | spl0_151
    | spl0_118
    | ~ spl0_166
    | ~ spl0_100
    | ~ spl0_99
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(rat,[],[s1696,s1197,s1627,s1501,s871,s33,s2153,s2024,s1153,s649,s2148,s2149,s2011,s2151,s2182,s584,s251,s1257,s334,s1027]) ).

cnf(s2224,plain,
    ( ~ spl0_159
    | spl0_151
    | spl0_191
    | spl0_118
    | ~ spl0_166
    | ~ spl0_100
    | ~ spl0_99
    | spl0_108
    | ~ spl0_15
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s584,s1258,s2011,s1501,s2148,s33,s1153,s2039,s2153,s1624,s198,s2223,s2007,s1648,s334,s1027]) ).

cnf(s2225,plain,
    ( ~ spl0_100
    | ~ spl0_187
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s593,s2052,s584,s461,s2011,s2148,s1153,s2153,s388,s1453,s2042,s2224,s953,s922,s918,s16,s32,s2201,s334,s2019,s1027,s2222,s1729,s589,s669,s2215,s1704,s1073,s916,s969,s2154,s2220]) ).

cnf(s2226,plain,
    ( ~ spl0_187
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1300,s563,s2152,s2052,s1258,s1117,s593,s2182,s2149,s334,s953,s1054,s1244,s1152,s2155,s2225,s916,s969,s2154,s2220,s1729,s589,s669,s2215]) ).

cnf(s2227,plain,
    ( ~ spl0_116
    | spl0_187
    | spl0_175
    | ~ spl0_2 ),
    inference(rat,[],[s1516,s916,s898,s1368,s1370]) ).

cnf(s2228,plain,
    ( ~ spl0_100
    | ~ spl0_98
    | ~ spl0_147
    | spl0_116
    | spl0_173
    | spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s723,s1623,s198,s583,s1889,s2042,s2174]) ).

cnf(s2229,plain,
    ( ~ spl0_159
    | ~ spl0_101
    | ~ spl0_98
    | ~ spl0_147
    | spl0_116
    | spl0_175
    | ~ spl0_2 ),
    inference(rat,[],[s1710,s2182,s953,s649,s593,s916,s1997,s2216,s1704,s853,s986]) ).

cnf(s2231,plain,
    ( ~ spl0_171
    | ~ spl0_98
    | spl0_168
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1705,s985,s624,s953,s2218,s916,s198,s1516,s2166,s1321,s669,s2215,s869,s2229,s2155,s2228,s1965,s1064,s2057,s334,s2227,s2226]) ).

cnf(s2232,plain,
    ( ~ spl0_98
    | spl0_168
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2169,s584,s583,s1258,s1704,s563,s662,s1294,s2152,s401,s2149,s2190,s2119,s2231,s2042,s2229,s2155,s2228,s1729,s589,s669,s2215,s1965,s1064,s2057,s2227,s2226,s334]) ).

cnf(s2233,plain,
    ( ~ spl0_103
    | spl0_166
    | spl0_193
    | spl0_191
    | spl0_122
    | ~ spl0_15 ),
    inference(rat,[],[s251,s198,s2151,s1624,s1632]) ).

cnf(s2234,plain,
    ( spl0_166
    | spl0_193
    | ~ spl0_189
    | spl0_191
    | ~ spl0_99
    | spl0_122
    | ~ spl0_15
    | ~ spl0_24
    | ~ spl0_4 ),
    inference(rat,[],[s600,s1536,s1321,s329,s549,s584,s944,s2148,s1153,s2153,s2233]) ).

cnf(s2236,plain,
    ( spl0_109
    | ~ spl0_100
    | ~ spl0_147
    | spl0_173 ),
    inference(rat,[],[s723,s1623,s198]) ).

cnf(s2237,plain,
    ( ~ spl0_100
    | ~ spl0_159
    | spl0_168
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s953,s2224,s916,s1121,s1049,s583,s2236,s2234,s1648,s1002,s669,s2215,s869,s1965,s1064,s2226,s2057,s334,s2154,s2232,s986]) ).

cnf(s2238,plain,
    ( ~ spl0_109
    | ~ spl0_101
    | ~ spl0_99
    | ~ spl0_147
    | spl0_187 ),
    inference(rat,[],[s2191,s1257,s1049,s2149,s1054]) ).

cnf(s2239,plain,
    ( ~ spl0_188
    | spl0_192
    | ~ spl0_101
    | spl0_191
    | spl0_187 ),
    inference(rat,[],[s1151,s2148,s2152,s1566,s1371]) ).

cnf(s2240,plain,
    ( ~ spl0_159
    | spl0_168
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s656,s660,s2153,s2039,s33,s1536,s1501,s1691,s1258,s549,s584,s1565,s2148,s1151,s2152,s1999,s600,s2052,s1516,s1288,s916,s2239,s198,s2238,s935,s2149,s853,s1054,s2155,s2237,s986,s669,s2215,s1965,s1064,s2057,s2227,s2226,s334,s2154,s2232]) ).

cnf(s2241,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_147
    | spl0_173
    | ~ spl0_2 ),
    inference(rat,[],[s583,s1889,s2236]) ).

cnf(s2242,plain,
    ( spl0_168
    | spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2191,s1321,s1516,s2190,s2149,s1054,s2155,s2241,s2042,s2240,s2154,s2232,s334,s1965,s1064,s2226,s2057]) ).

cnf(s2243,plain,
    ( ~ spl0_132
    | ~ spl0_128
    | ~ spl0_171
    | ~ spl0_33 ),
    inference(rat,[],[s2070,s959,s423]) ).

cnf(s2244,plain,
    ( ~ spl0_48
    | ~ spl0_33
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s2070,s81,s1643]) ).

cnf(s2246,plain,
    ( spl0_131
    | ~ spl0_76
    | ~ spl0_99
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_102
    | ~ spl0_101
    | ~ spl0_107
    | ~ spl0_168
    | spl0_187 ),
    inference(rat,[],[s104,s98,s1511,s2050,s1169,s1742,s2029,s620,s262,s368]) ).

cnf(s2247,plain,
    ( spl0_175
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2070,s560,s360,s2246,s1805,s2244,s2052,s2154,s2146,s1577,s2166,s1536,s442,s354,s2190,s2148,s2149,s2153,s1151,s401,s1639,s2152,s639,s2169,s198,s2071,s1202,s2155,s584,s1453,s1741,s2025,s1440,s33,s2042,s421,s1027,s1503,s1025,s974,s2242,s2227,s2226,s869,s1729,s589,s669,s2215]) ).

cnf(s2248,plain,
    ( ~ spl0_159
    | ~ spl0_147
    | spl0_109
    | ~ spl0_175
    | ~ spl0_2 ),
    inference(rat,[],[s2236,s2155,s1063,s474,s986,s1064,s1190]) ).

cnf(s2249,plain,
    ( ~ spl0_98
    | ~ spl0_191
    | spl0_193
    | spl0_159
    | ~ spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s337,s1567,s2148,s960,s2052,s1154,s2119,s2179,s1373,s2166,s1381,s1190,s198,s1611,s2042,s950]) ).

cnf(s2250,plain,
    ( ~ spl0_100
    | ~ spl0_147
    | ~ spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s326,s1191,s1567,s2152,s337,s625,s960,s2148,s2119,s1153,s745,s2154,s2249,s950,s2153,s1063,s1056,s2236,s1648,s1002,s1064,s1190,s198,s2042,s2248,s1611]) ).

cnf(s2251,plain,
    ( ~ spl0_92
    | spl0_151
    | spl0_127
    | ~ spl0_156 ),
    inference(rat,[],[s1570,s358,s2052]) ).

cnf(s2252,plain,
    ( ~ spl0_98
    | ~ spl0_147
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2071,s33,s1310,s1501,s1691,s1258,s549,s584,s1372,s2152,s401,s2149,s2251,s960,s600,s2119,s2179,s2166,s1381,s669,s2215,s1190,s198,s2042,s2248,s1611,s1084,s2155,s2250,s2247]) ).

cnf(s2253,plain,
    ( ~ spl0_147
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2179,s2251,s935,s960,s2149,s2119,s1054,s745,s2154,s2252,s1084,s2155,s2250,s2042,s2248,s1190,s1611,s2247]) ).

cnf(s2254,plain,
    ( ~ spl0_98
    | ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s916,s1001,s1368,s2149,s1303,s1568,s659,s2166,s1190,s198,s1611,s2247,s584,s1741,s2042,s974,s1440,s1027,s1729,s589,s669,s2215,s334,s2253]) ).

cnf(s2255,plain,
    ( ~ spl0_100
    | spl0_117
    | ~ spl0_99
    | ~ spl0_107
    | ~ spl0_33
    | spl0_154
    | ~ spl0_150
    | spl0_166
    | spl0_159
    | ~ spl0_168
    | spl0_109
    | spl0_187
    | ~ spl0_175 ),
    inference(rat,[],[s1632,s2151,s2153,s2056,s1191,s1153,s2152,s2148,s2169,s1592,s1368,s2139,s916,s2077,s1001,s2149,s1058,s1490,s1010]) ).

cnf(s2256,plain,
    ( ~ spl0_24
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1054,s2149,s2155,s1568,s2255,s600,s745,s2154,s2254,s584,s1741,s1440,s33,s1498,s2042,s2025,s1027,s1503,s1025,s974,s305,s334,s2253,s1611,s1190,s2247,s1729,s589,s669,s2215]) ).

cnf(s2257,plain,
    ( ~ spl0_98
    | ~ spl0_159
    | ~ spl0_187
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s916,s2217,s2216,s1704,s1073]) ).

cnf(s2258,plain,
    ( ~ spl0_53
    | ~ spl0_30
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s2058,s561,s576]) ).

cnf(s2259,plain,
    ( ~ spl0_100
    | spl0_116
    | spl0_53
    | spl0_151
    | ~ spl0_30
    | ~ spl0_99
    | spl0_154
    | ~ spl0_150
    | ~ spl0_159
    | spl0_168
    | spl0_108
    | ~ spl0_187 ),
    inference(rat,[],[s1502,s25,s1729,s2016,s2024,s852,s1632,s2153,s1153,s2148,s2011,s2151,s584,s1939,s1117,s2152,s1999,s2052,s649,s2149,s1058,s1490,s1010]) ).

cnf(s2260,plain,
    ( ~ spl0_159
    | spl0_168
    | ~ spl0_187
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1999,s2152,s2052,s1117,s593,s2182,s2149,s1054,s2155,s2259,s1370,s2119,s2007,s2258,s953,s24,s916,s2201,s969,s2154,s2257,s1235,s2025,s986,s1283,s16,s18,s669,s13,s20,s2256,s1073,s334]) ).

cnf(s2261,plain,
    ( ~ spl0_98
    | ~ spl0_169
    | spl0_174
    | ~ spl0_147
    | ~ spl0_135
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1710,s2182,s953,s733,s1321,s916,s1369,s2216,s1043]) ).

cnf(s2262,plain,
    ( ~ spl0_100
    | spl0_168
    | ~ spl0_187
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1117,s584,s2152,s2011,s625,s953,s2148,s916,s1153,s969,s2154,s2261,s1043,s2153,s1067,s388,s2241,s392,s1453,s2057,s1704,s1073,s334,s2042,s2260]) ).

cnf(s2263,plain,
    ( spl0_171
    | spl0_158
    | ~ spl0_101
    | ~ spl0_156
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s401,s2152,s2149,s1294,s2190,s2119]) ).

cnf(s2264,plain,
    ( ~ spl0_98
    | spl0_191
    | ~ spl0_101
    | ~ spl0_156
    | ~ spl0_147
    | ~ spl0_135
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s198,s2075,s1373,s1310,s1130,s2152,s401,s24,s2149,s1691,s1364,s2182,s584,s655,s915,s1321,s2263,s953,s942,s916,s2216,s662,s16,s18,s669,s13,s20,s2256]) ).

cnf(s2265,plain,
    ( spl0_168
    | ~ spl0_187
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1321,s2182,s2190,s953,s2149,s916,s1054,s969,s2154,s2264,s1152,s2155,s2262,s2042,s2260,s334,s1704,s1073]) ).

cnf(s2266,plain,
    ( ~ spl0_187
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1889,s2155,s1067,s2042,s1244,s1025,s974,s2265,s1073,s2057]) ).

cnf(s2267,plain,
    ( ~ spl0_100
    | spl0_168
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s24,s2258,s1603,s1502,s1501,s2152,s25,s1999,s2024,s2052,s649,s2149,s2016,s2148,s2182,s2007,s1490,s2011,s953,s1235,s2025,s1729,s584,s916,s986,s1283,s852,s1257,s1049,s583,s2154,s2042,s943,s2236,s2228,s2241,s1002,s16,s18,s669,s13,s20,s2256,s2227,s1965,s1064,s2266,s2057,s334]) ).

cnf(s2268,plain,
    ( ~ spl0_159
    | spl0_168
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1536,s2148,s1691,s1153,s2189,s2034,s2153,s24,s1624,s916,s1602,s1129,s2239,s1058,s935,s442,s198,s2149,s2238,s1054,s2154,s1235,s2025,s2229,s986,s1283,s16,s18,s669,s13,s20,s2256,s2227,s1965,s1064,s2266,s2057,s334,s2155,s2267]) ).

cnf(s2269,plain,
    ( spl0_171
    | ~ spl0_98
    | spl0_168
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2203,s25,s1440,s1729,s1259,s1406,s24,s2153,s2068,s1641,s916,s1197,s2077,s1371,s1192,s1351,s1381,s2151,s198,s850,s252,s583,s2152,s1704,s401,s662,s2149,s2263,s2190,s669,s13,s2227,s1449,s16,s18,s20,s2256,s1965,s1064,s2266,s2057,s2155,s2267,s2042,s2268]) ).

cnf(s2270,plain,
    ( ~ spl0_171
    | ~ spl0_101
    | ~ spl0_147
    | spl0_187
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1708,s401,s1372,s2149,s999,s2191,s584,s915,s1321,s1516,s669,s13,s20,s2256]) ).

cnf(s2271,plain,
    ( spl0_168
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1054,s2154,s2149,s2269,s2190,s2270,s2042,s2268,s2155,s2267,s334,s2266]) ).

cnf(s2272,plain,
    ( ~ spl0_108
    | ~ spl0_98
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s659,s1303,s584,s1109,s2149,s2251,s960,s756,s2119,s1192,s2166,s2151,s198,s850,s252,s583,s16,s18,s20,s2256,s2227,s2266,s1025,s2042,s974,s2271]) ).

cnf(s2273,plain,
    ( ~ spl0_98
    | spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2166,s198,s2263,s1202,s2155,s662,s1889,s1704,s2272,s1965,s1064,s2266,s2057,s2042,s974,s2271]) ).

cnf(s2274,plain,
    ( ~ spl0_100
    | ~ spl0_99
    | ~ spl0_156
    | ~ spl0_168
    | spl0_173
    | spl0_122
    | spl0_175
    | ~ spl0_22
    | ~ spl0_13
    | ~ spl0_4 ),
    inference(rat,[],[s1364,s24,s1197,s1652,s1641,s1632,s2153,s1001,s1153,s2149,s2148,s2251,s461,s960,s2052,s2119,s2151,s709,s1427,s850,s252,s1453,s1889,s669,s13,s1025]) ).

cnf(s2275,plain,
    ( spl0_175
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s645,s642,s2153,s2046,s1536,s2148,s1945,s24,s2239,s1704,s1691,s1364,s999,s942,s916,s1427,s655,s915,s1516,s2190,s2149,s1054,s2155,s2274,s2154,s2273,s2042,s974,s2271,s1965,s1449,s1064,s2266,s2057,s16,s18,s669,s13,s20,s2256]) ).

cnf(s2276,plain,
    ( ~ spl0_98
    | ~ spl0_147
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s601,s1310,s2151,s1691,s2152,s252,s2068,s401,s1704,s2149,s1987,s2251,s2052,s2179,s1373,s1381,s198,s1129,s24,s1602,s1013,s669,s13,s20,s2256,s2042,s2248,s1611,s960,s2119,s2270,s1190,s1084,s2155,s2250,s2275]) ).

cnf(s2277,plain,
    ( spl0_168
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1578,s2148,s354,s1153,s2149,s2153,s1054,s2194,s2154,s2276,s2119,s2270,s1084,s2042,s2155,s2248,s2250,s334,s1190,s198,s1611,s2275]) ).

cnf(s2278,plain,
    ( ~ spl0_98
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s2251,s2149,s960,s1001,s2119,s2179,s1373,s2166,s1381,s1190,s198,s1611,s1129,s1013,s2275,s669,s13,s20,s2256,s1025,s2042,s974,s2277]) ).

cnf(s2280,plain,
    ( spl0_166
    | ~ spl0_129
    | spl0_117
    | ~ spl0_99
    | ~ spl0_168
    | ~ spl0_30
    | spl0_122 ),
    inference(rat,[],[s1705,s2171,s1632]) ).

cnf(s2281,plain,
    ( ~ spl0_93
    | spl0_151
    | ~ spl0_99
    | spl0_159
    | ~ spl0_168
    | ~ spl0_30
    | spl0_109
    | spl0_187
    | ~ spl0_175
    | ~ spl0_22 ),
    inference(rat,[],[s1567,s337,s2148,s1652,s2280,s2151,s2052,s2027,s1191,s2152,s2169,s1368,s584,s942,s916,s1109,s1001,s1449,s2042]) ).

cnf(s2282,plain,
    ( ~ spl0_4
    | ~ spl0_2 ),
    inference(rat,[],[s1310,s1691,s2152,s942,s756,s1191,s1288,s2251,s2149,s2281,s960,s2119,s745,s2154,s2278,s2042,s1025,s974,s2277,s24,s1602,s1013,s1611,s1190,s2275,s669,s16,s13,s18,s20,s2256]) ).

cnf(s2283,plain,
    ( ~ spl0_159
    | ~ spl0_93
    | spl0_190
    | ~ spl0_98
    | spl0_175
    | ~ spl0_2 ),
    inference(rat,[],[s898,s1370,s668,s2173,s1172,s6,s2282]) ).

cnf(s2284,plain,
    ( spl0_171
    | spl0_159
    | ~ spl0_109
    | spl0_190
    | ~ spl0_98
    | ~ spl0_135
    | ~ spl0_9 ),
    inference(rat,[],[s1706,s2080,s392,s4,s1369,s989,s2042]) ).

cnf(s2285,plain,
    ( ~ spl0_93
    | ~ spl0_98
    | spl0_168
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s584,s593,s2011,s2052,s2148,s1300,s1155,s2152,s953,s4,s401,s1152,s2080,s2155,s1889,s1067,s733,s2284,s2042,s2283,s2057,s662,s916,s198,s1373,s2216,s1704,s1073,s1172,s1190,s6,s2282]) ).

cnf(s2286,plain,
    ( ~ spl0_98
    | spl0_168
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1300,s2152,s2052,s1122,s593,s2182,s953,s950,s949,s1563,s2149,s2285,s198,s1373,s916,s2216,s662,s1172,s1190,s6,s2282,s1704,s1073,s334]) ).

cnf(s2287,plain,
    ( ~ spl0_159
    | ~ spl0_93
    | spl0_190
    | spl0_108
    | spl0_175
    | ~ spl0_187
    | ~ spl0_9 ),
    inference(rat,[],[s1117,s2152,s1668,s1999,s4,s1370,s2052,s989,s2119,s649,s668]) ).

cnf(s2288,plain,
    ( ~ spl0_93
    | spl0_168
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1566,s1153,s1000,s2153,s733,s950,s388,s1067,s1453,s2241,s2042,s2287,s2155,s1054,s6,s2282,s2057,s1190,s1704,s1073,s334,s916,s969,s2154,s2286]) ).

cnf(s2289,plain,
    ( spl0_168
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1624,s2153,s198,s1153,s1257,s2148,s2182,s1566,s953,s950,s949,s1563,s935,s2149,s2288,s916,s969,s2154,s2286,s334,s1172,s1190,s6,s2282]) ).

cnf(s2290,plain,
    ( ~ spl0_93
    | spl0_191
    | ~ spl0_102
    | ~ spl0_169
    | ~ spl0_168
    | spl0_193
    | ~ spl0_9 ),
    inference(rat,[],[s1709,s1153,s1565,s2154,s1000,s584,s1373,s733,s1109,s1001,s198,s1211]) ).

cnf(s2291,plain,
    ( ~ spl0_98
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1373,s2216,s1172,s6,s2282,s198,s1211,s2153,s388,s1453,s2042,s974,s2155,s1244,s1190,s1704,s1073,s2289]) ).

cnf(s2293,plain,
    ( ~ spl0_53
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1530,s1531,s368,s98,s1248,s1420,s1184,s1000,s1566,s2148,s1153,s2153,s388,s1453,s1704,s950,s1067,s1889,s2042,s974,s1073,s2155,s1244,s2289,s2057,s1190,s916,s969,s2154,s2291,s6,s2282]) ).

cnf(s2294,plain,
    ( ~ spl0_128
    | ~ spl0_24
    | spl0_53
    | ~ spl0_171
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_170
    | spl0_108 ),
    inference(rat,[],[s1530,s430,s368,s2031,s784,s1254,s1519,s1502,s33,s2039,s1440,s1729,s409,s2153,s388,s1704]) ).

cnf(s2295,plain,
    ( ~ spl0_15
    | ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1440,s1729,s1027,s34,s1453,s2042,s974,s2155,s1244,s2289,s1190]) ).

cnf(s2296,plain,
    ( ~ spl0_187
    | ~ spl0_2 ),
    inference(rat,[],[s1730,s2294,s915,s999,s669,s2295,s2293,s1000,s1566,s2148,s916,s1153,s969,s2154,s2291,s2149,s2290,s950,s2153,s1067,s388,s1889,s1453,s2155,s2042,s1244,s974,s2289,s1704,s1172,s2057,s1073,s1190,s6,s2282]) ).

cnf(s2297,plain,
    ( spl0_190
    | spl0_171
    | ~ spl0_98
    | spl0_175
    | ~ spl0_93
    | ~ spl0_2 ),
    inference(rat,[],[s200,s2284,s583,s198,s2283,s1373,s1172,s6,s2282]) ).

cnf(s2298,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | spl0_175
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s1706,s2229,s2174,s2227,s2296]) ).

cnf(s2299,plain,
    ( ~ spl0_98
    | spl0_175
    | ~ spl0_93
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s1002,s2155,s949,s2080,s733,s198,s2297,s1373,s2073,s2298,s1172,s4,s1263,s2296,s6,s2282]) ).

cnf(s2300,plain,
    ( spl0_175
    | ~ spl0_93
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s1668,s649,s1257,s2042,s2236,s2241,s1063,s950,s949,s1002,s2155,s1054,s2154,s2299,s4,s1263,s6,s2282,s1064,s2296]) ).

cnf(s2301,plain,
    ( ~ spl0_166
    | ~ spl0_95
    | ~ spl0_8
    | ~ spl0_190
    | spl0_127
    | spl0_191
    | ~ spl0_2 ),
    inference(rat,[],[s1812,s33,s909,s20,s2024,s906]) ).

cnf(s2302,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | ~ spl0_93
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s603,s1729,s1121,s34,s669,s943,s2301,s2148,s4,s1565,s1668,s584,s1122,s2152,s667,s916,s1369,s1368,s1704,s2228,s1992,s2052,s1000,s583,s2155,s1063,s649,s668,s2248,s474,s986,s6,s2282,s1064,s2296,s2300]) ).

cnf(s2303,plain,
    ( spl0_171
    | spl0_190
    | ~ spl0_98
    | ~ spl0_93
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s1373,s1648,s198,s2155,s1122,s401,s1668,s2152,s4,s1371,s2179,s989,s1000,s6,s2282,s2296,s2300,s916]) ).

cnf(s2304,plain,
    ( ~ spl0_128
    | ~ spl0_95
    | ~ spl0_171
    | spl0_159
    | ~ spl0_93 ),
    inference(rat,[],[s33,s20,s2077,s1071,s915,s733]) ).

cnf(s2305,plain,
    ( spl0_190
    | ~ spl0_98
    | ~ spl0_93
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s603,s1729,s1121,s34,s669,s999,s2304,s2148,s2011,s877,s624,s2153,s584,s985,s593,s1083,s1997,s4,s1704,s2080,s583,s198,s1381,s1371,s2152,s401,s2155,s1002,s949,s733,s2303,s1368,s916,s6,s2282,s2296,s2300,s2302,s334]) ).

cnf(s2306,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_147
    | ~ spl0_2 ),
    inference(rat,[],[s950,s1063,s949,s2241,s1002,s6,s2282,s1064,s2296]) ).

cnf(s2307,plain,
    ( ~ spl0_98
    | ~ spl0_93
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s1567,s337,s2148,s1945,s960,s1083,s1084,s2155,s2306,s4,s1000,s2119,s2052,s2073,s1516,s1288,s2305,s2042,s2302,s6,s2282,s2296,s2300,s334]) ).

cnf(s2308,plain,
    ( ~ spl0_93
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s4,s989,s1668,s1049,s1257,s2248,s2042,s2306,s2179,s2155,s1000,s1054,s745,s2154,s2307,s2300,s6,s2282,s2296,s334]) ).

cnf(s2309,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s2174,s896,s2155,s474,s2298,s2296,s334,s2149,s2308]) ).

cnf(s2310,plain,
    ( spl0_175
    | ~ spl0_101
    | spl0_159
    | ~ spl0_98
    | ~ spl0_92
    | ~ spl0_2 ),
    inference(rat,[],[s1705,s471,s960,s624,s1704,s2119,s2251,s2216,s1516,s1288,s1373,s198,s2080,s4,s1172,s1263,s6,s2282,s2296,s2042]) ).

cnf(s2311,plain,
    ( ~ spl0_98
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s1516,s898,s1563,s960,s949,s2251,s1084,s2179,s2310,s2155,s2306,s2042,s2309,s6,s2282,s2296,s935,s2149,s2308,s334]) ).

cnf(s2312,plain,
    ( ~ spl0_188
    | spl0_191
    | ~ spl0_92
    | ~ spl0_147
    | spl0_187 ),
    inference(rat,[],[s1122,s2236,s2182,s2155,s2152,s953,s2239,s1371,s935,s1063,s1064]) ).

cnf(s2313,plain,
    ( ~ spl0_159
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s2041,s4,s853,s961,s1706,s2236,s1049,s916,s2312,s1063,s986,s6,s2282,s1064,s2296,s334,s2149,s2308,s2154,s2311]) ).

cnf(s2314,plain,
    ( spl0_190
    | spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s950,s949,s2239,s1563,s916,s6,s2282,s2296,s935,s2149,s2308,s2155,s2306,s2042,s2313,s334]) ).

cnf(s2315,plain,
    ( spl0_168
    | ~ spl0_2 ),
    inference(rat,[],[s1708,s1151,s1300,s2148,s1084,s461,s960,s1568,s2119,s2251,s2052,s1516,s1288,s2314,s2155,s354,s2306,s2042,s2313,s2149,s2308,s334]) ).

cnf(s2316,plain,
    ( ~ spl0_98
    | spl0_175
    | ~ spl0_100
    | ~ spl0_93
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1889,s1067,s583,s733,s198,s2297,s1373,s2042,s974,s2315,s2057,s1172,s6,s2282]) ).

cnf(s2317,plain,
    ( spl0_175
    | ~ spl0_100
    | ~ spl0_93
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s950,s1063,s1067,s1889,s709,s2154,s2316,s1668,s4,s1263,s2057,s6,s2282,s1064,s2296,s2042,s974,s1109,s2315]) ).

cnf(s2318,plain,
    ( ~ spl0_98
    | spl0_174
    | ~ spl0_93
    | spl0_116
    | ~ spl0_2 ),
    inference(rat,[],[s733,s877,s1369,s2153,s1704,s1211,s583,s198,s1303,s659,s584,s1109,s2315]) ).

cnf(s2319,plain,
    ( ~ spl0_100
    | ~ spl0_93
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1668,s4,s2179,s989,s1000,s745,s2154,s2318,s2317,s392,s6,s2282,s2042,s974,s1368,s916,s2296,s1109,s2315]) ).

cnf(s2320,plain,
    ( ~ spl0_93
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1708,s2169,s401,s1202,s2155,s2319,s584,s1109,s2315,s1368,s916,s2296]) ).

cnf(s2321,plain,
    ( spl0_175
    | ~ spl0_98
    | ~ spl0_100
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s388,s2153,s1704,s1211,s583,s198,s1373,s1453,s1172,s6,s2282,s2042,s974,s2315]) ).

cnf(s2322,plain,
    ( spl0_171
    | ~ spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1026,s461,s1668,s2052,s4,s2179,s1568,s989,s1000,s6,s2282,s2296,s2042,s974,s2315,s2149,s2320]) ).

cnf(s2323,plain,
    ( spl0_191
    | ~ spl0_98
    | ~ spl0_100
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1381,s198,s2179,s583,s2251,s1889,s953,s1063,s1064,s2296,s2042,s974,s2315,s916,s2149,s2320,s2321]) ).

cnf(s2324,plain,
    ( ~ spl0_109
    | spl0_169
    | spl0_174
    | ~ spl0_2 ),
    inference(rat,[],[s877,s2153,s1704,s1211,s583,s2315]) ).

cnf(s2325,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s659,s1303,s584,s1026,s2148,s1577,s2052,s2179,s1381,s198,s2324,s950,s2323,s2321,s1368,s916,s2296,s354,s2149,s2320,s392,s2042,s974,s2315]) ).

cnf(s2326,plain,
    ( spl0_191
    | ~ spl0_100
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s709,s2251,s1889,s953,s1063,s1064,s2296,s2042,s974,s2315,s916,s2149,s2320,s2154,s2325]) ).

cnf(s2327,plain,
    ( ~ spl0_108
    | spl0_169
    | ~ spl0_99
    | ~ spl0_92
    | ~ spl0_156 ),
    inference(rat,[],[s960,s2251,s2119,s709,s1427]) ).

cnf(s2328,plain,
    ( ~ spl0_100
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s745,s2322,s1074,s1067,s1889,s2327,s950,s2326,s2154,s2325,s2042,s974,s2315,s2149,s2320]) ).

cnf(s2329,plain,
    ( ~ spl0_98
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1577,s1945,s2052,s2239,s2179,s1084,s1381,s2310,s2296,s916,s354,s2149,s2320,s2042,s974,s198,s1202,s2155,s2328,s2315]) ).

cnf(s2330,plain,
    ( ~ spl0_28
    | ~ spl0_96
    | ~ spl0_192
    | ~ spl0_2 ),
    inference(rat,[],[s24,s1517,s1603,s915,s999,s2296,s1000,s6,s2282]) ).

cnf(s2331,plain,
    ( spl0_132
    | ~ spl0_94
    | ~ spl0_192
    | ~ spl0_92
    | ~ spl0_168 ),
    inference(rat,[],[s430,s1569,s2031,s1163,s692,s82,s1203,s2137]) ).

cnf(s2332,plain,
    ( ~ spl0_169
    | spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s2144,s1760,s1420,s2031,s1502,s1163,s692,s577,s33,s2126,s2243,s423,s2331,s20,s756,s1681,s2146,s1592,s1536,s442,s2025,s421,s1027,s669,s2330,s2152,s2169,s2148,s584,s775,s593,s2153,s1000,s2251,s1624,s2239,s953,s950,s2042,s974,s1368,s916,s2149,s2320,s198,s1202,s2155,s2328,s2315,s2154,s2329,s1172,s4,s1263,s2296,s6,s2282]) ).

cnf(s2333,plain,
    ( spl0_191
    | spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s25,s1729,s2070,s1503,s34,s81,s669,s2126,s2330,s423,s2152,s2331,s2169,s2148,s584,s1153,s593,s2153,s1000,s2251,s1624,s2239,s953,s2042,s974,s1368,s916,s2149,s2320,s198,s1202,s2155,s2328,s2315,s2154,s2329,s1172,s4,s1263,s2296,s6,s2282,s2332]) ).

cnf(s2334,plain,
    ( spl0_171
    | spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s1709,s1945,s1578,s1000,s2119,s6,s2282,s2296,s354,s2149,s2320,s2042,s974,s2315,s2155,s2328,s2332,s2333]) ).

cnf(s2335,plain,
    ( ~ spl0_30
    | ~ spl0_102
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s16,s942,s18,s2171,s2043,s1517,s6,s2282,s1202,s2155,s2328,s2315,s2154,s2329]) ).

cnf(s2336,plain,
    ( ~ spl0_29
    | ~ spl0_96
    | spl0_190
    | spl0_187 ),
    inference(rat,[],[s1603,s1364]) ).

cnf(s2337,plain,
    ( spl0_48
    | ~ spl0_102
    | ~ spl0_127
    | ~ spl0_94
    | ~ spl0_10
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s360,s2246,s2126,s1805,s2296,s2315,s2149,s2320,s2155,s2328,s2154,s2329,s584,s593]) ).

cnf(s2338,plain,
    ( ~ spl0_102
    | spl0_192
    | spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s430,s1569,s2031,s1163,s692,s2337,s2137,s2243,s1537,s1498,s20,s2025,s25,s1729,s18,s421,s1503,s34,s16,s669,s32,s24,s2335,s4,s1263,s6,s2282,s2334,s2052,s1577,s2148,s1945,s2333,s2155,s2328,s2332,s354,s2149,s2320,s2042,s974,s2315,s2336,s2152,s1371,s916,s2296]) ).

cnf(s2339,plain,
    ( ~ spl0_103
    | ~ spl0_135
    | spl0_173
    | spl0_159 ),
    inference(rat,[],[s645,s642,s2042]) ).

cnf(s2340,plain,
    ( spl0_175
    | spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s2070,s25,s1729,s81,s1503,s34,s669,s2330,s2152,s2169,s584,s2337,s593,s423,s2052,s2331,s1577,s2148,s2338,s1153,s2153,s2339,s2334,s1704,s1067,s2327,s2332,s4,s1263,s2057,s6,s2282,s1368,s916,s2296,s354,s2149,s2320,s2042,s974,s1202,s2155,s2328,s2315,s2154,s2329]) ).

cnf(s2341,plain,
    ( spl0_190
    | ~ spl0_2 ),
    inference(rat,[],[s745,s2322,s2340,s2154,s2329]) ).

cnf(s2342,plain,
    ~ spl0_2,
    inference(rat,[],[s1129,s1624,s669,s2153,s198,s845,s34,s471,s583,s1729,s1210,s1440,s2155,s2301,s1083,s1263,s4,s1668,s1026,s1063,s2148,s950,s461,s960,s1568,s2251,s358,s2149,s2119,s2052,s1001,s1516,s1288,s2341,s2042,s974,s2315,s1064,s2296,s6,s2282]) ).

cnf(s2343,plain,
    spl0_7,
    inference(rat,[],[s22,s2342]) ).

cnf(s2344,plain,
    spl0_1,
    inference(rat,[],[s1,s2342]) ).

cnf(s2345,plain,
    ( spl0_171
    | ~ spl0_187
    | spl0_168
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1710,s649,s1563,s324,s944,s2148,s775,s1668,s584,s1117,s2152,s381,s1294,s989,s2119,s941,s334,s2344,s2343]) ).

cnf(s2346,plain,
    ( ~ spl0_28
    | ~ spl0_109
    | ~ spl0_103
    | spl0_39
    | ~ spl0_159
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_96
    | ~ spl0_189
    | ~ spl0_92
    | ~ spl0_171 ),
    inference(rat,[],[s247,s2028,s871,s24,s1537,s2025,s39,s915,s875,s909,s922,s943]) ).

cnf(s2347,plain,
    ( ~ spl0_161
    | ~ spl0_159
    | ~ spl0_191
    | ~ spl0_8 ),
    inference(rat,[],[s875,s954]) ).

cnf(s2348,plain,
    ( ~ spl0_99
    | ~ spl0_159
    | ~ spl0_38
    | ~ spl0_100
    | ~ spl0_95
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_96
    | ~ spl0_189
    | ~ spl0_92
    | ~ spl0_171
    | spl0_175
    | spl0_190 ),
    inference(rat,[],[s871,s2151,s1490,s251,s1121,s669,s2346,s404,s2153,s1174,s1153,s962,s2025,s2347]) ).

cnf(s2349,plain,
    ( ~ spl0_98
    | spl0_193
    | ~ spl0_151
    | spl0_190 ),
    inference(rat,[],[s985,s2153,s198,s624,s1373,s953,s916]) ).

cnf(s2350,plain,
    ( spl0_127
    | ~ spl0_171
    | ~ spl0_187
    | ~ spl0_147
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1453,s388,s2042,s1704,s2153,s2348,s1174,s1153,s2154,s2349,s1172,s31,s2155,s6,s1152,s1043,s2148,s953,s381,s944,s2182,s1668,s584,s1117,s2152,s1300,s2052,s916,s941,s1563,s2149,s733,s2344,s2343]) ).

cnf(s2353,plain,
    ( spl0_48
    | ~ spl0_10
    | ~ spl0_159
    | ~ spl0_189 ),
    inference(rat,[],[s851,s952,s2126,s82]) ).

cnf(s2354,plain,
    ( ~ spl0_48
    | ~ spl0_109
    | ~ spl0_97
    | ~ spl0_181 ),
    inference(rat,[],[s1301,s1149,s2137,s1698,s1124,s700,s1612,s2154,s1257]) ).

cnf(s2355,plain,
    ( ~ spl0_191
    | ~ spl0_127
    | ~ spl0_189
    | ~ spl0_92
    | ~ spl0_187
    | spl0_168
    | ~ spl0_169
    | ~ spl0_188 ),
    inference(rat,[],[s98,s1576,s1150,s1170,s454,s1248,s1529,s368,s952,s476,s1805,s82,s2354,s2236,s31,s2155,s6,s1152,s1043,s334,s625,s2152,s1117,s584,s944,s2148,s775,s2343,s2344]) ).

cnf(s2356,plain,
    ( ~ spl0_187
    | spl0_168
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1566,s935,s2355,s2148,s775,s2350,s1563,s2149,s733,s2345,s916,s334]) ).

cnf(s2357,plain,
    ( spl0_191
    | ~ spl0_96
    | ~ spl0_93
    | ~ spl0_10
    | ~ spl0_194
    | ~ spl0_147
    | spl0_175 ),
    inference(rat,[],[s649,s1668,s2042,s1122,s1453,s2236,s1214,s1063,s2155,s401,s2343]) ).

cnf(s2358,plain,
    ( spl0_109
    | ~ spl0_38
    | ~ spl0_189
    | spl0_175
    | ~ spl0_169 ),
    inference(rat,[],[s1705,s471,s1056,s404,s198]) ).

cnf(s2359,plain,
    ( ~ spl0_93
    | spl0_187
    | ~ spl0_147
    | spl0_175
    | ~ spl0_169
    | spl0_158 ),
    inference(rat,[],[s1709,s775,s944,s1668,s584,s1122,s2358,s31,s6,s1043,s2357,s1002,s2155,s401,s2152,s1294,s2119,s733,s1064,s381,s1263,s2344,s2343]) ).

cnf(s2360,plain,
    ( spl0_168
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1709,s775,s944,s1668,s584,s1122,s2358,s31,s6,s2152,s1043,s1371,s2312,s1563,s935,s2149,s2359,s381,s1263,s2356,s334,s916,s941,s2344,s2343]) ).

cnf(s2361,plain,
    ( ~ spl0_93
    | ~ spl0_100
    | ~ spl0_168
    | spl0_175
    | ~ spl0_169
    | spl0_158 ),
    inference(rat,[],[s1705,s388,s1211,s1704,s187,s1119,s1453,s2152,s2042,s1294,s649,s2119,s554,s733,s1109,s31,s6,s1025,s2344]) ).

cnf(s2362,plain,
    ( spl0_191
    | ~ spl0_96
    | spl0_127
    | ~ spl0_92
    | ~ spl0_187
    | ~ spl0_38
    | ~ spl0_168
    | spl0_175
    | ~ spl0_188 ),
    inference(rat,[],[s404,s1014,s1211,s2153,s622,s1635,s2031,s1698,s1169,s1296,s1548,s863,s2331,s1566,s2042,s2148,s2251,s1155,s953,s2155,s1244,s554,s381,s1668,s1117,s2343]) ).

cnf(s2363,plain,
    ( ~ spl0_123
    | ~ spl0_99
    | ~ spl0_103
    | spl0_122
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171 ),
    inference(rat,[],[s1632,s922,s2151,s909,s351,s655]) ).

cnf(s2364,plain,
    ( ~ spl0_99
    | ~ spl0_103
    | ~ spl0_150
    | ~ spl0_94
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_92
    | ~ spl0_100 ),
    inference(rat,[],[s1058,s1627,s619,s1691,s2363,s1010]) ).

cnf(s2365,plain,
    ( ~ spl0_103
    | spl0_161
    | ~ spl0_94
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_92
    | ~ spl0_100
    | ~ spl0_187 ),
    inference(rat,[],[s1639,s639,s922,s918,s909,s655,s2146,s1539,s624,s2154,s2364,s1010,s550,s2025]) ).

cnf(s2366,plain,
    ( ~ spl0_94
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_119
    | ~ spl0_92
    | ~ spl0_187
    | ~ spl0_38
    | ~ spl0_168
    | spl0_175 ),
    inference(rat,[],[s404,s1014,s1211,s2153,s2365,s2347,s2042,s1453,s461,s2155,s1244]) ).

cnf(s2367,plain,
    ( ~ spl0_20
    | spl0_122
    | ~ spl0_103
    | ~ spl0_191
    | ~ spl0_187 ),
    inference(rat,[],[s1639,s639,s922,s918]) ).

cnf(s2368,plain,
    ( ~ spl0_150
    | ~ spl0_103
    | ~ spl0_109
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_96
    | ~ spl0_92
    | ~ spl0_100
    | ~ spl0_187
    | spl0_190 ),
    inference(rat,[],[s247,s2028,s871,s32,s1537,s1364,s915,s909,s16,s2367,s1010]) ).

cnf(s2369,plain,
    ( ~ spl0_161
    | ~ spl0_95
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | spl0_127
    | ~ spl0_92
    | ~ spl0_168
    | spl0_190 ),
    inference(rat,[],[s1652,s32,s623,s1364,s2139,s2251,s915,s2042,s909,s16,s2347,s954]) ).

cnf(s2370,plain,
    ( ~ spl0_109
    | ~ spl0_150
    | ~ spl0_191
    | ~ spl0_8
    | ~ spl0_171
    | ~ spl0_96
    | ~ spl0_92
    | ~ spl0_187
    | ~ spl0_168
    | spl0_190 ),
    inference(rat,[],[s1705,s2368,s1211,s2155,s1244]) ).

cnf(s2371,plain,
    ( spl0_127
    | ~ spl0_92
    | ~ spl0_187
    | spl0_193
    | ~ spl0_38
    | ~ spl0_168
    | spl0_175
    | spl0_190 ),
    inference(rat,[],[s1707,s1174,s1373,s404,s198,s2370,s2025,s2369,s2148,s2366,s2362,s381,s1668,s554,s1117,s2152,s1300,s2052,s916,s941,s2343]) ).

cnf(s2372,plain,
    ( ~ spl0_57
    | ~ spl0_97
    | ~ spl0_94
    | ~ spl0_187
    | ~ spl0_168 ),
    inference(rat,[],[s1239,s1237,s2031,s1377,s1698,s1169,s1296,s2155,s1244]) ).

cnf(s2373,plain,
    ( spl0_57
    | ~ spl0_109
    | ~ spl0_132
    | ~ spl0_171
    | spl0_191
    | ~ spl0_100
    | ~ spl0_168 ),
    inference(rat,[],[s1635,s2031,s1612,s692,s2126,s381,s1587,s863,s98,s423,s2343]) ).

cnf(s2374,plain,
    ( ~ spl0_109
    | ~ spl0_132
    | ~ spl0_171
    | spl0_191
    | ~ spl0_187
    | ~ spl0_168 ),
    inference(rat,[],[s1635,s622,s2031,s1698,s1169,s1296,s919,s2373,s2153,s1211,s2155,s1244]) ).

cnf(s2375,plain,
    ( spl0_191
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_187
    | ~ spl0_9
    | ~ spl0_168
    | spl0_175
    | spl0_190 ),
    inference(rat,[],[s1707,s1427,s1373,s404,s198,s2374,s2331,s1000,s1566,s916,s31,s1172,s2344]) ).

cnf(s2376,plain,
    ( spl0_154
    | ~ spl0_99
    | ~ spl0_150
    | ~ spl0_92
    | ~ spl0_100 ),
    inference(rat,[],[s1058,s1627]) ).

cnf(s2377,plain,
    ( ~ spl0_99
    | ~ spl0_150
    | ~ spl0_103
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_100 ),
    inference(rat,[],[s351,s2146,s2151,s619,s871,s2376]) ).

cnf(s2380,plain,
    ( ~ spl0_163
    | ~ spl0_159
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(rat,[],[s349,s692]) ).

cnf(s2382,plain,
    ( ~ spl0_132
    | spl0_133
    | ~ spl0_103
    | ~ spl0_96
    | ~ spl0_10
    | ~ spl0_127
    | ~ spl0_168 ),
    inference(rat,[],[s1628,s1163,s2104,s2126,s1548,s891]) ).

cnf(s2384,plain,
    ( spl0_171
    | ~ spl0_94
    | ~ spl0_127
    | ~ spl0_92
    | ~ spl0_100
    | ~ spl0_38
    | ~ spl0_168
    | spl0_175
    | spl0_190 ),
    inference(rat,[],[s476,s2049,s1163,s620,s1569,s1538,s2137,s2382,s430,s617,s2031,s2380,s2042,s1453,s388,s2153,s1211,s1704,s187,s1119,s2152,s381,s1294,s989,s2119,s941,s2343]) ).

cnf(s2385,plain,
    ( ~ spl0_8
    | spl0_111
    | spl0_57
    | ~ spl0_171
    | ~ spl0_94
    | ~ spl0_169 ),
    inference(rat,[],[s1569,s1248,s2137,s965,s863]) ).

cnf(s2386,plain,
    ( ~ spl0_48
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_94
    | ~ spl0_168 ),
    inference(rat,[],[s1089,s1091,s1698,s1541,s2031,s700,s692,s2153,s1211]) ).

cnf(s2387,plain,
    ( ~ spl0_97
    | ~ spl0_109
    | ~ spl0_171
    | ~ spl0_127
    | ~ spl0_187
    | ~ spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1530,s416,s368,s2126,s476,s2386,s381,s2385,s1531,s98,s2372,s31,s6,s1025,s2148,s775,s2343,s2344]) ).

cnf(s2388,plain,
    ( ~ spl0_8
    | ~ spl0_159
    | ~ spl0_103
    | ~ spl0_171
    | ~ spl0_191
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_100
    | ~ spl0_187 ),
    inference(rat,[],[s2347,s2365]) ).

cnf(s2389,plain,
    ( ~ spl0_109
    | ~ spl0_187
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s476,s2049,s1163,s620,s1569,s1538,s2137,s2382,s381,s2388,s430,s617,s2031,s2380,s2042,s1453,s388,s1704,s1119,s2152,s2387,s2153,s1211,s2375,s2384,s2148,s775,s2371,s1172,s2149,s2361,s941,s2155,s1244,s31,s6,s1025,s2360,s2343,s2344]) ).

cnf(s2390,plain,
    ( ~ spl0_187
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1707,s1427,s1373,s404,s198,s2389,s2384,s2148,s775,s2371,s2149,s2361,s2155,s1244,s941,s31,s1172,s6,s1025,s2360,s2344,s2343]) ).

cnf(s2391,plain,
    ( ~ spl0_93
    | spl0_187
    | ~ spl0_168
    | spl0_175
    | ~ spl0_169
    | spl0_158 ),
    inference(rat,[],[s1708,s401,s1372,s2155,s1000,s584,s2361,s733,s1109,s6,s1025]) ).

cnf(s2392,plain,
    ( spl0_127
    | ~ spl0_100
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s32,s1517,s16,s1283,s954,s2025,s1624,s2377,s2153,s2154,s2042,s471,s1373,s1453,s404,s198,s461,s1122,s2336,s2148,s2152,s1026,s1300,s1668,s2052,s31,s1172,s6,s1025,s381,s1263,s2149,s2391,s2390,s2360,s941,s2343,s2344]) ).

cnf(s2393,plain,
    ( ~ spl0_97
    | ~ spl0_109
    | ~ spl0_171
    | ~ spl0_94
    | ~ spl0_92
    | ~ spl0_10
    | spl0_187
    | ~ spl0_168
    | ~ spl0_188 ),
    inference(rat,[],[s423,s2126,s2331,s2386,s1371]) ).

cnf(s2394,plain,
    ( ~ spl0_109
    | ~ spl0_171
    | ~ spl0_94
    | ~ spl0_127
    | ~ spl0_100
    | ~ spl0_92
    | spl0_187
    | ~ spl0_38
    | ~ spl0_168
    | spl0_175
    | ~ spl0_188 ),
    inference(rat,[],[s476,s2049,s1163,s620,s1569,s1538,s2137,s2382,s430,s617,s2031,s2380,s2042,s1453,s388,s1704,s1119,s2152,s2393,s2153,s1211,s381,s1263,s2343]) ).

cnf(s2395,plain,
    ( ~ spl0_100
    | spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1707,s709,s1373,s404,s198,s2394,s2384,s2148,s775,s2392,s916,s31,s1172,s6,s1025,s2149,s2391,s2390,s2360,s941,s2343,s2344]) ).

cnf(s2396,plain,
    ( spl0_175
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1709,s461,s1945,s1568,s1000,s2052,s1624,s1427,s709,s2153,s2154,s471,s1373,s2042,s404,s198,s516,s1202,s2155,s2395,s2149,s2391,s2390,s1172,s31,s6,s1025,s2360,s941,s2344,s2343]) ).

cnf(s2397,plain,
    ( ~ spl0_133
    | ~ spl0_97
    | ~ spl0_93
    | ~ spl0_100 ),
    inference(rat,[],[s397,s2049,s2029,s616,s617]) ).

cnf(s2398,plain,
    ( ~ spl0_94
    | spl0_133
    | ~ spl0_97
    | ~ spl0_181
    | spl0_192
    | ~ spl0_10
    | ~ spl0_147
    | ~ spl0_175
    | ~ spl0_169
    | ~ spl0_188 ),
    inference(rat,[],[s1628,s2104,s416,s448,s2126,s2153,s2354,s985,s2236,s625,s1566,s2155,s1084]) ).

cnf(s2399,plain,
    ( ~ spl0_109
    | spl0_133
    | spl0_174
    | ~ spl0_97
    | ~ spl0_181
    | ~ spl0_10
    | spl0_171
    | ~ spl0_175
    | ~ spl0_169 ),
    inference(rat,[],[s1705,s1628,s471,s2104,s1704,s416,s448,s1369,s2126,s2154,s2354,s1257]) ).

cnf(s2400,plain,
    ( spl0_127
    | ~ spl0_187
    | ~ spl0_93
    | ~ spl0_147
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1153,s2153,s2154,s1624,s1373,s198,s2399,s1044,s2148,s2398,s2397,s667,s2152,s1117,s1668,s2052,s916,s1648,s2155,s1084,s381,s989,s1000,s6,s1138,s2396,s733,s2343]) ).

cnf(s2401,plain,
    ( ~ spl0_187
    | ~ spl0_93
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2398,s584,s2397,s324,s2148,s2152,s649,s775,s1191,s2400,s1000,s6,s1138,s916,s2155,s1084,s2396,s334,s381,s989,s733,s2344,s2343]) ).

cnf(s2402,plain,
    ( ~ spl0_109
    | ~ spl0_181
    | spl0_187
    | spl0_171
    | ~ spl0_175
    | ~ spl0_188 ),
    inference(rat,[],[s1371,s1000,s2152,s6,s1122,s1611]) ).

cnf(s2403,plain,
    ( spl0_13
    | spl0_29
    | ~ spl0_94
    | ~ spl0_9
    | ~ spl0_191
    | ~ spl0_181
    | spl0_171 ),
    inference(rat,[],[s2146,s1536,s995,s922,s16,s32,s600,s1517,s20]) ).

cnf(s2405,plain,
    ( ~ spl0_94
    | ~ spl0_9
    | ~ spl0_102
    | ~ spl0_173
    | ~ spl0_181
    | spl0_187
    | spl0_171
    | ~ spl0_175
    | spl0_190 ),
    inference(rat,[],[s32,s16,s2043,s922,s626,s639,s1013,s2403,s2336,s2152,s625,s2402,s916,s1063,s1064]) ).

cnf(s2406,plain,
    ( ~ spl0_181
    | spl0_187
    | spl0_171
    | ~ spl0_147
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1709,s2405,s6,s1044,s1043,s2153,s1063,s1056,s2236,s198,s2402,s916,s1064,s1002,s2155,s1084,s2396]) ).

cnf(s2407,plain,
    ( ~ spl0_93
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1709,s775,s944,s1668,s584,s2406,s1002,s2401,s381,s989,s733,s2155,s1084,s2396,s334,s2343]) ).

cnf(s2408,plain,
    ( spl0_171
    | spl0_127
    | ~ spl0_187
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s416,s952,s2126,s82,s2354,s198,s1056,s2153,s471,s1999,s2152,s1117,s381,s554,s989,s896,s2155,s1084,s1563,s2149,s2407,s334,s31,s6,s1138,s2396,s2052,s2343,s2344]) ).

cnf(s2409,plain,
    ( spl0_127
    | ~ spl0_187
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s919,s1635,s965,s622,s1248,s2031,s1698,s381,s952,s349,s366,s2353,s82,s2354,s2153,s2152,s471,s2042,s1122,s1704,s2182,s2251,s198,s1997,s2349,s1373,s2154,s745,s2408,s1648,s896,s2155,s1084,s1563,s2149,s2407,s334,s31,s6,s1138,s2396,s2343,s2344]) ).

cnf(s2410,plain,
    ( ~ spl0_187
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1566,s2148,s2355,s775,s2409,s916,s935,s1563,s2149,s2407,s334]) ).

cnf(s2411,plain,
    ( spl0_171
    | spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2406,s554,s1191,s2152,s1371,s935,s2396,s31,s6,s1043,s2312,s2410,s916,s334,s2149,s2407,s2344]) ).

cnf(s2412,plain,
    ( spl0_168
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1122,s2182,s198,s2349,s1373,s2154,s745,s2411,s2152,s1371,s2410,s935,s2149,s2407,s1648,s334,s916,s2155,s1084,s2396]) ).

cnf(s2413,plain,
    ( ~ spl0_93
    | spl0_127
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(rat,[],[s554,s733,s1109,s31,s6,s1025,s2344]) ).

cnf(s2414,plain,
    ( spl0_171
    | spl0_127
    | ~ spl0_187
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2138,s1569,s1124,s1163,s366,s1698,s1089,s1091,s1541,s2031,s2380,s2042,s2153,s1531,s1568,s471,s98,s461,s1999,s2372,s2148,s2152,s1026,s1117,s554,s31,s6,s1025,s2052,s896,s2149,s2413,s2412,s2155,s1084,s2396,s2344]) ).

cnf(s2415,plain,
    ( ~ spl0_94
    | ~ spl0_97
    | ~ spl0_8
    | spl0_111
    | ~ spl0_171
    | ~ spl0_187
    | ~ spl0_168
    | ~ spl0_169 ),
    inference(rat,[],[s2372,s2385]) ).

cnf(s2416,plain,
    ( ~ spl0_95
    | ~ spl0_8
    | spl0_127
    | ~ spl0_187
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1351,s2151,s915,s884,s909,s2367,s1010,s2025,s2369,s1155,s2153,s471,s1704,s1997,s2154,s745,s2414,s896,s2149,s2413,s2412,s2155,s1084,s2396]) ).

cnf(s2417,plain,
    ( spl0_181
    | spl0_127
    | ~ spl0_187
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2331,s2374,s1566,s2388,s2148,s2416,s198,s1303,s381,s659,s1668,s584,s916,s2042,s2251,s624,s2153,s471,s1704,s1997,s896,s2155,s1084,s2154,s745,s2414,s2396,s2149,s2413,s2412,s2343]) ).

cnf(s2418,plain,
    ( spl0_127
    | ~ spl0_187
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2138,s1569,s1124,s1163,s366,s1698,s1089,s1541,s2148,s2152,s1026,s1117,s2417,s1091,s430,s2031,s2380,s2042,s2251,s624,s2153,s471,s1704,s1997,s2154,s745,s2414,s896,s2149,s2413,s2155,s1084,s2396,s31,s6,s1025,s2412,s2344]) ).

cnf(s2419,plain,
    ( ~ spl0_93
    | ~ spl0_127
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s253,s193,s366,s476,s1805,s2386,s198,s1373,s2154,s709,s1889,s1130,s2042,s584,s649,s1109,s2155,s1084,s31,s6,s1025,s2412,s625,s2152,s1191,s2396,s2148,s775,s2344]) ).

cnf(s2420,plain,
    ( spl0_48
    | ~ spl0_10
    | spl0_111
    | ~ spl0_127
    | ~ spl0_38
    | ~ spl0_169 ),
    inference(rat,[],[s1530,s416,s368,s2126,s476,s2148,s775]) ).

cnf(s2421,plain,
    ( ~ spl0_48
    | spl0_116
    | spl0_111
    | ~ spl0_94
    | ~ spl0_97
    | ~ spl0_168 ),
    inference(rat,[],[s676,s584,s2049,s2169,s1530,s2386,s1163]) ).

cnf(s2422,plain,
    ( ~ spl0_187
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s2415,s989,s381,s2420,s2421,s896,s2149,s2419,s1531,s98,s2372,s2148,s2152,s775,s1191,s2418,s2155,s1084,s2396,s31,s6,s1025,s2412,s2343,s2344]) ).

cnf(s2423,plain,
    ( spl0_171
    | spl0_127
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1705,s2051,s2377,s2154,s1373,s1129,s32,s669,s16,s559,s995,s2146,s619,s1490,s2025,s1013,s1283,s2042,s2403,s1568,s2336,s1566,s461,s2152,s198,s2148,s1371,s2402,s1026,s1000,s554,s916,s2155,s1084,s2396,s31,s6,s1025,s2422,s2052,s2149,s2413,s2412,s2344]) ).

cnf(s2424,plain,
    ( ~ spl0_97
    | ~ spl0_165
    | ~ spl0_94
    | spl0_199
    | spl0_111
    | ~ spl0_103
    | ~ spl0_108
    | spl0_116
    | ~ spl0_38
    | ~ spl0_168 ),
    inference(rat,[],[s253,s366,s1089,s2421]) ).

cnf(s2425,plain,
    ( ~ spl0_134
    | ~ spl0_96
    | ~ spl0_152
    | ~ spl0_103
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s1548,s1635,s1355,s622,s617]) ).

cnf(s2426,plain,
    ( ~ spl0_94
    | spl0_111
    | spl0_163
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_98
    | spl0_116
    | ~ spl0_38
    | ~ spl0_168
    | ~ spl0_100 ),
    inference(rat,[],[s1553,s1662,s2049,s1628,s1530,s1163,s366,s1698,s2425,s2152,s2424,s1541,s617,s1091,s2031]) ).

cnf(s2427,plain,
    ( spl0_48
    | ~ spl0_107
    | ~ spl0_95
    | spl0_133
    | ~ spl0_152
    | ~ spl0_103
    | ~ spl0_108
    | ~ spl0_92
    | ~ spl0_38 ),
    inference(rat,[],[s1640,s951,s1698,s262,s366,s1805]) ).

cnf(s2428,plain,
    ( spl0_127
    | ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1095,s1628,s1612,s1163,s2427,s198,s1303,s659,s584,s1026,s2148,s2426,s430,s617,s2031,s2380,s2042,s2251,s624,s2153,s471,s1704,s1997,s2154,s745,s2423,s2149,s2413,s2155,s1084,s2396,s31,s6,s1025,s2412,s1368,s2422,s916,s2344]) ).

cnf(s2429,plain,
    ( ~ spl0_169
    | spl0_190 ),
    inference(rat,[],[s1239,s1237,s2031,s1377,s1698,s1169,s1205,s863,s381,s2393,s198,s1381,s2154,s745,s2331,s1000,s1371,s2149,s2148,s2152,s2419,s775,s1191,s2428,s2422,s6,s1025,s2412,s2155,s1084,s2396,s916,s2343]) ).

cnf(s2430,plain,
    ( ~ spl0_109
    | spl0_133
    | ~ spl0_159
    | ~ spl0_38
    | spl0_174
    | ~ spl0_175
    | ~ spl0_97
    | ~ spl0_181
    | ~ spl0_10
    | spl0_171
    | spl0_168 ),
    inference(rat,[],[s1705,s1628,s1014,s2104,s1704,s396,s448,s1369,s2126,s2154,s2354,s1257]) ).

cnf(s2431,plain,
    ( spl0_171
    | ~ spl0_187
    | ~ spl0_93
    | spl0_127
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s1153,s2153,s2154,s1624,s1373,s198,s2430,s2397,s1648,s2155,s474,s395,s31,s6,s1138,s667,s1294,s2152,s1044,s1117,s1668,s381,s989,s2119,s334,s2148,s1577,s2052,s2429,s941,s2344,s2343]) ).

cnf(s2432,plain,
    ( ~ spl0_187
    | ~ spl0_93
    | spl0_127
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s580,s1889,s2236,s2155,s401,s2152,s1067,s1300,s2057,s1138,s6,s31,s395,s2042,s668,s2431,s941,s2429,s334,s2052,s2344,s2343]) ).

cnf(s2433,plain,
    ( ~ spl0_109
    | ~ spl0_181
    | spl0_171
    | spl0_187
    | ~ spl0_119
    | spl0_190 ),
    inference(rat,[],[s1300,s2152,s2402,s1122,s916,s941,s2343]) ).

cnf(s2434,plain,
    ( spl0_171
    | spl0_187
    | ~ spl0_93
    | spl0_127
    | ~ spl0_147
    | spl0_190 ),
    inference(rat,[],[s1381,s2154,s2239,s1054,s2155,s2236,s198,s2433,s1063,s1044,s1668,s381,s989,s916,s2148,s1577,s2052,s2429,s941,s1064,s2343]) ).

cnf(s2435,plain,
    ( ~ spl0_93
    | spl0_127
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s1303,s198,s659,s1611,s2154,s1263,s957,s381,s1668,s584,s1321,s6,s31,s395,s668,s2434,s1368,s2432,s916,s2429,s334,s2343,s2344]) ).

cnf(s2436,plain,
    ( ~ spl0_187
    | ~ spl0_92
    | spl0_127
    | ~ spl0_147
    | spl0_190 ),
    inference(rat,[],[s2347,s2025,s2339,s2368,s1704,s2153,s580,s985,s989,s2236,s953,s381,s2155,s2182,s1668,s1151,s1117,s2152,s1067,s1300,s2057,s1138,s916,s2148,s1577,s2052,s941,s6,s949,s1563,s2429,s2343]) ).

cnf(s2437,plain,
    ( spl0_127
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s1707,s2349,s957,s989,s1648,s381,s2155,s2182,s1668,s1945,s1044,s2312,s2436,s935,s2149,s2435,s2148,s1577,s2052,s916,s941,s2429,s334,s2343]) ).

cnf(s2438,plain,
    ( ~ spl0_96
    | spl0_173
    | ~ spl0_93
    | ~ spl0_127 ),
    inference(rat,[],[s1889,s2155,s1119,s401,s2042,s649]) ).

cnf(s2439,plain,
    ( ~ spl0_100
    | spl0_173
    | ~ spl0_4
    | ~ spl0_156
    | ~ spl0_147 ),
    inference(rat,[],[s580,s2236,s1889]) ).

cnf(s2440,plain,
    ( ~ spl0_187
    | ~ spl0_93
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s198,s2080,s1373,s381,s2154,s1155,s1054,s1152,s2155,s2439,s898,s1130,s1294,s2152,s2438,s1067,s2057,s1138,s941,s334,s2042,s2148,s324,s584,s586,s6,s31,s395,s2429,s649,s2437,s2343,s2344]) ).

cnf(s2441,plain,
    ( ~ spl0_175
    | spl0_116
    | ~ spl0_4
    | ~ spl0_127 ),
    inference(rat,[],[s1708,s2169,s1191,s1611,s584,s586]) ).

cnf(s2442,plain,
    ( ~ spl0_93
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s2080,s2169,s2155,s2152,s2439,s2438,s381,s1067,s1263,s2057,s2441,s1368,s2440,s584,s586,s6,s31,s395,s2042,s649,s916,s2429,s334,s2437,s2343,s2344]) ).

cnf(s2443,plain,
    ( ~ spl0_8
    | ~ spl0_97
    | ~ spl0_103
    | ~ spl0_99
    | ~ spl0_159
    | ~ spl0_187
    | ~ spl0_171
    | ~ spl0_191
    | ~ spl0_4
    | ~ spl0_189
    | ~ spl0_92 ),
    inference(rat,[],[s25,s1729,s1502,s852,s2258,s2016,s943,s32,s1310,s669,s39,s1691,s12,s909,s1564,s16,s2363,s2367,s442,s1010,s2025,s2347,s2155,s1152,s962,s2343]) ).

cnf(s2444,plain,
    ( ~ spl0_48
    | ~ spl0_174
    | ~ spl0_109
    | ~ spl0_4 ),
    inference(rat,[],[s718,s2131,s1612,s1643]) ).

cnf(s2445,plain,
    ( ~ spl0_187
    | spl0_168
    | spl0_190 ),
    inference(rat,[],[s2368,s2152,s2025,s2443,s2347,s381,s2353,s2444,s877,s1704,s2153,s2154,s580,s985,s2042,s2349,s2236,s2439,s1648,s1067,s2155,s2057,s1152,s1138,s953,s916,s898,s960,s2182,s586,s6,s949,s1563,s2437,s2149,s2442,s334,s2429,s2343]) ).

cnf(s2446,plain,
    ( spl0_168
    | spl0_190 ),
    inference(rat,[],[s877,s2444,s2153,s2353,s985,s2042,s2236,s2439,s1704,s381,s1067,s1119,s1263,s2057,s2155,s2152,s2441,s2191,s1372,s1368,s2445,s953,s2182,s584,s586,s6,s949,s1563,s935,s2149,s2442,s2437,s334,s916,s2429,s2343]) ).

cnf(s2447,plain,
    ( spl0_48
    | spl0_133
    | ~ spl0_38
    | ~ spl0_98
    | ~ spl0_108
    | ~ spl0_103
    | ~ spl0_95
    | ~ spl0_107 ),
    inference(rat,[],[s951,s193,s1640,s1698,s366,s1805]) ).

cnf(s2448,plain,
    ( spl0_133
    | ~ spl0_98
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_95
    | ~ spl0_107
    | ~ spl0_168 ),
    inference(rat,[],[s1095,s1628,s1612,s1163,s2447,s2153,s1211,s31,s6,s580,s2344]) ).

cnf(s2449,plain,
    ( ~ spl0_109
    | spl0_127
    | ~ spl0_100
    | ~ spl0_93
    | spl0_190 ),
    inference(rat,[],[s253,s193,s366,s1805,s692,s397,s2029,s617,s2448,s31,s2154,s6,s1174,s580,s1704,s877,s2153,s1211,s584,s2148,s1577,s2052,s2429,s941,s392,s2042,s668,s989,s381,s1668,s1109,s2446,s2344,s2343]) ).

cnf(s2451,plain,
    ( spl0_175
    | ~ spl0_187
    | ~ spl0_106
    | spl0_29
    | ~ spl0_176
    | ~ spl0_156
    | ~ spl0_95
    | ~ spl0_8
    | ~ spl0_100
    | spl0_181
    | spl0_190 ),
    inference(rat,[],[s1652,s1440,s32,s1729,s16,s845,s918,s1389,s1303,s659,s2154,s1174,s1889,s1067,s1453,s2057,s2429,s2446,s584]) ).

cnf(s2452,plain,
    ( ~ spl0_187
    | ~ spl0_106
    | spl0_29
    | ~ spl0_176
    | ~ spl0_156
    | ~ spl0_95
    | ~ spl0_8
    | ~ spl0_100
    | spl0_181
    | spl0_190 ),
    inference(rat,[],[s909,s918,s1013,s1389,s1303,s659,s2154,s745,s2451,s584,s989]) ).

cnf(s2453,plain,
    ( spl0_127
    | ~ spl0_100
    | ~ spl0_93
    | spl0_190 ),
    inference(rat,[],[s1303,s659,s2154,s957,s1368,s2452,s198,s2449,s1364,s2139,s2304,s2042,s668,s989,s2148,s381,s1577,s1668,s2052,s916,s941,s2429,s584,s1109,s2446,s2343]) ).

cnf(s2454,plain,
    ( ~ spl0_109
    | ~ spl0_100
    | ~ spl0_93
    | spl0_190 ),
    inference(rat,[],[s253,s193,s476,s366,s1805,s2386,s2148,s2448,s2397,s31,s2152,s2154,s6,s1119,s709,s580,s1704,s877,s2153,s1211,s2429,s584,s1109,s2446,s392,s2042,s649,s2453,s2344]) ).

cnf(s2455,plain,
    ( ~ spl0_96
    | ~ spl0_127
    | ~ spl0_93
    | spl0_169 ),
    inference(rat,[],[s1067,s2057,s2438,s1191]) ).

cnf(s2456,plain,
    ( ~ spl0_100
    | ~ spl0_93
    | spl0_190 ),
    inference(rat,[],[s1707,s709,s1373,s152,s1130,s2152,s2455,s198,s2454,s2453,s2429,s584,s1109,s2446,s2344]) ).

cnf(s2457,plain,
    ( ~ spl0_93
    | spl0_190 ),
    inference(rat,[],[s2169,s2152,s1368,s401,s1202,s1244,s2155,s2456,s584,s1109,s916,s2446]) ).

cnf(s2458,plain,
    ( ~ spl0_108
    | spl0_127
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s2380,s2029,s2042,s617,s2251,s2448,s624,s31,s2154,s6,s1427,s580,s2149,s2457,s2153,s1211,s584,s989,s381,s1668,s1026,s2148,s1577,s2052,s2429,s941,s2446,s2344,s2343]) ).

cnf(s2459,plain,
    ( spl0_127
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s957,s2370,s2154,s2152,s1997,s1999,s1704,s2458,s2025,s2369,s1155,s989,s381,s1668,s1026,s2148,s1577,s2052,s941,s2429,s2446,s896,s2149,s2457,s2343]) ).

cnf(s2460,plain,
    ( spl0_48
    | ~ spl0_152
    | ~ spl0_38
    | ~ spl0_107
    | ~ spl0_127
    | ~ spl0_92 ),
    inference(rat,[],[s262,s476,s1805]) ).

cnf(s2461,plain,
    ( ~ spl0_99
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s1095,s1628,s1612,s1163,s2460,s617,s2031,s2380,s31,s6,s765,s2042,s392,s877,s584,s1704,s1257,s709,s2429,s2149,s2457,s2153,s1211,s2446,s2459,s2344]) ).

cnf(s2462,plain,
    ( ~ spl0_159
    | ~ spl0_107
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s1095,s1628,s1612,s1163,s2460,s617,s2031,s2380,s31,s6,s765,s2149,s2457,s2153,s1211,s2446,s2459,s2344]) ).

cnf(s2463,plain,
    ( ~ spl0_133
    | ~ spl0_38
    | ~ spl0_97
    | ~ spl0_127
    | ~ spl0_100
    | ~ spl0_168 ),
    inference(rat,[],[s476,s692,s2049,s2029,s616,s617]) ).

cnf(s2464,plain,
    ( ~ spl0_107
    | ~ spl0_98
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s253,s193,s476,s366,s1805,s2386,s2148,s2448,s2463,s31,s6,s580,s1704,s877,s392,s2042,s2462,s2429,s2153,s1211,s2446,s2459,s2344]) ).

cnf(s2465,plain,
    ( spl0_163
    | spl0_153
    | ~ spl0_171
    | ~ spl0_94
    | spl0_48
    | ~ spl0_97
    | ~ spl0_103
    | ~ spl0_109
    | ~ spl0_92 ),
    inference(rat,[],[s863,s381,s1205,s2126,s1698,s423,s1089,s1538,s1091,s1541,s2031,s2343]) ).

cnf(s2466,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s863,s381,s1355,s2126,s1698,s1444,s366,s1298,s1889,s1531,s2042,s98,s349,s1169,s2465,s620,s368,s898,s476,s2463,s625,s1578,s31,s2148,s6,s2354,s1026,s586,s584,s2464,s941,s2429,s2149,s2457,s2153,s1211,s2446,s2459,s2343,s2344]) ).

cnf(s2467,plain,
    ( ~ spl0_109
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s2462,s2339,s1067,s584,s1704,s2057,s1122,s1119,s1191,s2152,s2466,s1707,s2461,s2459,s2153,s1211,s2429,s2446]) ).

cnf(s2468,plain,
    ( ~ spl0_98
    | spl0_181
    | ~ spl0_106
    | spl0_116 ),
    inference(rat,[],[s659,s1303,s584]) ).

cnf(s2469,plain,
    ( spl0_127
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s32,s1939,s39,s2151,s909,s16,s871,s2367,s2153,s2376,s957,s1153,s962,s2154,s2468,s1010,s2025,s2369,s1155,s989,s2152,s381,s2169,s1668,s584,s1026,s2148,s1577,s2052,s941,s2429,s2446,s896,s2149,s2457,s198,s2467,s2343]) ).

cnf(s2470,plain,
    ( ~ spl0_96
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s1697,s765,s1889,s6,s1067,s31,s2057,s187,s1119,s1191,s2429,s2446,s2467,s2469,s2344]) ).

cnf(s2471,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s1170,s731,s1376,s452,s1327,s368,s476,s1805,s2421,s1531,s98,s2372,s1172,s1371,s1373,s1381,s916,s198,s2148,s1026,s2446,s31,s6,s586,s584,s2169,s2152,s2470,s896,s2149,s2457,s2467,s2469,s2343,s2344]) ).

cnf(s2472,plain,
    ( ~ spl0_100
    | spl0_190 ),
    inference(rat,[],[s404,s745,s709,s2154,s2471,s898,s1578,s31,s2148,s6,s1026,s586,s584,s2169,s2152,s2470,s2469,s2467,s896,s941,s2429,s2446,s2149,s2457,s2344,s2343]) ).

cnf(s2473,plain,
    ( ~ spl0_95
    | spl0_190 ),
    inference(rat,[],[s2169,s2152,s584,s1151,s1026,s1202,s1368,s1244,s2155,s2472,s2446,s916]) ).

cnf(s2474,plain,
    ( ~ spl0_97
    | spl0_190 ),
    inference(rat,[],[s381,s957,s2126,s2154,s1124,s423,s1381,s2331,s584,s1371,s2169,s2149,s2457,s1368,s1244,s916,s198,s1202,s2155,s2472,s2446,s898,s1578,s2148,s2473,s2429,s941,s2343]) ).

cnf(s2475,plain,
    ( spl0_48
    | spl0_190 ),
    inference(rat,[],[s360,s2246,s2126,s1805,s2149,s2457,s381,s1175,s584,s2154,s2468,s586,s198,s1368,s1244,s916,s2153,s2339,s765,s6,s31,s187,s1202,s2155,s2472,s2446,s1704,s1119,s1067,s2057,s1191,s2152,s2474,s2052,s1577,s2148,s2473,s941,s2429,s2343,s2344]) ).

cnf(s2476,plain,
    ( ~ spl0_123
    | spl0_190 ),
    inference(rat,[],[s1503,s669,s33,s24,s2070,s20,s2051,s854,s756,s2336,s2154,s2468,s586,s198,s1368,s1244,s916,s2153,s2339,s765,s1704,s1119,s1067,s2057,s1191,s1643,s1538,s2031,s692,s1554,s2141,s576,s2475,s6,s31,s187,s2152,s2474,s1202,s2155,s2472,s2446,s2052,s1577,s2148,s2473,s941,s2429,s2149,s2457,s2344,s2343]) ).

cnf(s2477,plain,
    ( ~ spl0_161
    | spl0_190 ),
    inference(rat,[],[s2043,s2280,s32,s1449,s942,s2151,s16,s611,s948,s2336,s2154,s2468,s586,s198,s1368,s1244,s916,s2153,s2339,s765,s6,s31,s187,s1202,s2155,s2472,s2446,s1704,s1119,s1067,s2057,s1191,s2152,s2474,s2052,s1577,s2148,s2473,s941,s2429,s2343,s2344]) ).

cnf(s2478,plain,
    spl0_190,
    inference(rat,[],[s32,s16,s2046,s922,s953,s1536,s1540,s442,s2025,s2477,s425,s1691,s2476,s2153,s2339,s765,s6,s1067,s31,s1704,s2057,s2336,s187,s1119,s1191,s2152,s2474,s2052,s1577,s2148,s2473,s1202,s1244,s2155,s2472,s2149,s2457,s2446,s2429,s941,s916,s2344,s2343]) ).

cnf(s2479,plain,
    ( ~ spl0_97
    | ~ spl0_169
    | ~ spl0_107
    | ~ spl0_93
    | ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s2447,s2148,s2354,s1575,s554,s624,s694,s31,s2153,s6,s471,s580,s1704,s1369,s667,s2397,s2154,s1049,s2052,s733,s2344,s2478]) ).

cnf(s2480,plain,
    ( ~ spl0_169
    | ~ spl0_107
    | ~ spl0_93
    | ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1997,s1704,s1370,s580,s1611,s6,s31,s554,s1122,s2152,s2479,s2119,s733,s2154,s1049,s2344,s2478]) ).

cnf(s2481,plain,
    ( ~ spl0_94
    | spl0_169
    | ~ spl0_107
    | ~ spl0_93
    | spl0_168 ),
    inference(rat,[],[s2119,s668,s960,s324,s2011,s2344]) ).

cnf(s2482,plain,
    ( spl0_181
    | spl0_174
    | ~ spl0_95
    | spl0_127
    | ~ spl0_109 ),
    inference(rat,[],[s6,s580,s31,s1704,s554,s1369,s1155,s381,s1668,s2154,s1049,s1154,s2344,s2343,s2478]) ).

cnf(s2483,plain,
    ( ~ spl0_108
    | spl0_48
    | spl0_133
    | ~ spl0_95
    | spl0_169
    | ~ spl0_107
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1705,s1014,s2447,s395,s31,s6,s580,s2154,s1049,s2344,s2478]) ).

cnf(s2484,plain,
    ( ~ spl0_171
    | ~ spl0_95
    | ~ spl0_93 ),
    inference(rat,[],[s381,s2073,s1155,s668,s1154,s2343,s2478]) ).

cnf(s2485,plain,
    ( ~ spl0_97
    | ~ spl0_107
    | ~ spl0_93
    | ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s2483,s1704,s2354,s1369,s2482,s667,s2397,s2154,s1049,s2052,s2484,s2148,s2481,s2480,s2478]) ).

cnf(s2486,plain,
    ( ~ spl0_107
    | ~ spl0_93
    | ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1997,s1704,s1370,s580,s1611,s6,s31,s554,s1122,s2152,s2485,s2119,s2484,s2148,s2481,s2480,s2154,s1049,s2344,s2478]) ).

cnf(s2487,plain,
    ( ~ spl0_169
    | spl0_48
    | spl0_174
    | spl0_133
    | ~ spl0_93
    | ~ spl0_109
    | ~ spl0_147 ),
    inference(rat,[],[s454,s368,s2148,s1150,s966,s1154,s965,s1380,s381,s73,s2126,s90,s416,s1248,s1355,s1640,s1698,s366,s31,s2153,s6,s471,s580,s1704,s1369,s733,s2154,s1049,s82,s1805,s2478,s2343,s2344]) ).

cnf(s2488,plain,
    ( ~ spl0_94
    | spl0_169
    | spl0_48
    | ~ spl0_97
    | ~ spl0_100
    | ~ spl0_119
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1239,s1237,s2031,s1377,s1698,s349,s366,s395,s31,s6,s580,s1704,s662,s1577,s2154,s1049,s2344,s2478]) ).

cnf(s2489,plain,
    ( ~ spl0_93
    | ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1246,s90,s381,s73,s2126,s1380,s1876,s1355,s1640,s2153,s2031,s1698,s1014,s349,s366,s395,s31,s6,s580,s1704,s1369,s2484,s1154,s2148,s2488,s2487,s82,s2354,s667,s2397,s2152,s1122,s584,s2486,s334,s2154,s1049,s2052,s2343,s2344,s2478]) ).

cnf(s2491,plain,
    ( ~ spl0_102
    | ~ spl0_38
    | ~ spl0_108
    | spl0_168 ),
    inference(rat,[],[s395,s1014,s471]) ).

cnf(s2492,plain,
    ( ~ spl0_100
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s951,s2148,s1327,s1640,s1239,s1086,s617,s1237,s2031,s1377,s1698,s349,s366,s2354,s2152,s1122,s2042,s2182,s2251,s624,s2153,s2491,s31,s6,s580,s1704,s1997,s896,s2149,s2489,s334,s2154,s1049,s2344,s2478]) ).

cnf(s2493,plain,
    ( ~ spl0_97
    | ~ spl0_169
    | ~ spl0_107
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s336,s2131,s1380,s116,s73,s2066,s2049,s616,s2487,s82,s2354,s732,s2482,s1154,s2149,s381,s2148,s354,s2080,s324,s2042,s853,s1704,s662,s1300,s667,s334,s2154,s1049,s2052,s1084,s2155,s2492,s2478,s2343,s2344]) ).

cnf(s2494,plain,
    ( ~ spl0_96
    | ~ spl0_107
    | ~ spl0_101
    | ~ spl0_109
    | ~ spl0_147 ),
    inference(rat,[],[s985,s2153,s1565,s624,s935,s2148,s2182,s2149,s1151,s1122,s401,s2154,s1049,s2478]) ).

cnf(s2495,plain,
    ( ~ spl0_108
    | spl0_169
    | ~ spl0_101
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s31,s395,s6,s853,s580,s2344]) ).

cnf(s2496,plain,
    ( ~ spl0_107
    | spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s31,s395,s6,s474,s1285,s1300,s1369,s662,s1704,s2495,s2493,s667,s2152,s2494,s334,s2154,s1049,s2052,s2155,s2492,s2344,s2478]) ).

cnf(s2497,plain,
    ( ~ spl0_169
    | spl0_48
    | ~ spl0_97
    | ~ spl0_101
    | ~ spl0_119
    | ~ spl0_109
    | ~ spl0_147 ),
    inference(rat,[],[s336,s2131,s1380,s116,s73,s2066,s2049,s616,s1152,s2487,s732,s1263,s2149,s381,s354,s2080,s2042,s853,s1704,s662,s1300,s1084,s2154,s1049,s667,s82,s2478,s2343]) ).

cnf(s2498,plain,
    ( spl0_127
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s31,s395,s6,s474,s1285,s1300,s1369,s662,s1704,s2495,s2497,s2354,s667,s2152,s1122,s584,s2496,s2155,s2492,s2052,s334,s2154,s1049,s2344,s2478]) ).

cnf(s2499,plain,
    ( ~ spl0_94
    | ~ spl0_107
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1565,s935,s985,s2149,s2153,s649,s624,s324,s2011,s334,s2154,s1049,s2498,s2344,s2478]) ).

cnf(s2500,plain,
    ( ~ spl0_93
    | ~ spl0_10
    | ~ spl0_127 ),
    inference(rat,[],[s2073,s649,s2478]) ).

cnf(s2501,plain,
    ( spl0_48
    | ~ spl0_38
    | ~ spl0_159
    | ~ spl0_92
    | ~ spl0_107
    | ~ spl0_127 ),
    inference(rat,[],[s2147,s2460,s349]) ).

cnf(s2502,plain,
    ( ~ spl0_48
    | ~ spl0_97
    | ~ spl0_109 ),
    inference(rat,[],[s1149,s1301,s1698,s2137,s700,s1612,s1051,s2154,s1049,s2478]) ).

cnf(s2503,plain,
    ( ~ spl0_97
    | ~ spl0_10
    | ~ spl0_107
    | ~ spl0_127
    | ~ spl0_109
    | ~ spl0_147 ),
    inference(rat,[],[s1296,s1698,s69,s193,s258,s360,s2126,s1805,s2502,s1372,s2154,s1049,s935,s2149,s2500,s2478]) ).

cnf(s2504,plain,
    ( ~ spl0_107
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1601,s433,s2029,s1082,s617,s1355,s1698,s700,s1051,s2501,s31,s6,s1285,s2042,s898,s1453,s960,s2155,s2182,s1151,s1122,s1191,s2152,s2503,s2149,s2500,s381,s1156,s1214,s1154,s775,s2148,s2499,s334,s2154,s1049,s2498,s2478,s2344,s2343]) ).

cnf(s2505,plain,
    ( ~ spl0_93
    | ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s1149,s1298,s1698,s902,s735,s2155,s313,s392,s2148,s2487,s775,s395,s2042,s649,s334,s2154,s1049,s1805,s616,s368,s476,s31,s6,s586,s2502,s2498,s2152,s1122,s584,s2504,s2344,s2478]) ).

cnf(s2506,plain,
    ( ~ spl0_123
    | ~ spl0_8
    | ~ spl0_181
    | ~ spl0_127 ),
    inference(rat,[],[s988,s995]) ).

cnf(s2507,plain,
    ( ~ spl0_100
    | ~ spl0_156
    | ~ spl0_169
    | ~ spl0_92
    | ~ spl0_181
    | ~ spl0_127
    | ~ spl0_109 ),
    inference(rat,[],[s998,s884,s2151,s1192,s720,s1691,s2506,s381,s2420,s1149,s1698,s366,s1889,s896,s2154,s1049,s31,s6,s586,s2502,s625,s2148,s775,s2152,s1122,s2343,s2344,s2478]) ).

cnf(s2508,plain,
    ( ~ spl0_169
    | ~ spl0_92
    | ~ spl0_181
    | ~ spl0_127
    | ~ spl0_109
    | ~ spl0_147 ),
    inference(rat,[],[s1149,s1298,s1698,s902,s735,s2155,s2507,s2042,s349,s313,s2148,s775,s2154,s1049,s1805,s368,s476,s31,s6,s586,s2502,s2152,s1122,s2344,s2478]) ).

cnf(s2509,plain,
    ( ~ spl0_109
    | spl0_168 ),
    inference(rat,[],[s98,s1205,s1587,s1698,s1538,s1355,s891,s2126,s381,s1156,s1154,s2148,s454,s2031,s349,s395,s2508,s2149,s2505,s616,s368,s1805,s476,s2502,s31,s2152,s6,s1122,s586,s584,s2504,s2498,s2154,s1049,s334,s2343,s2478,s2344]) ).

cnf(s2510,plain,
    ( ~ spl0_97
    | ~ spl0_169
    | ~ spl0_98
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s1709,s1154,s2011,s1624,s624,s2153,s471,s1130,s152,s198,s2509,s2478,s2344]) ).

cnf(s2511,plain,
    ( ~ spl0_4
    | ~ spl0_173
    | ~ spl0_186
    | ~ spl0_96
    | ~ spl0_169
    | ~ spl0_98
    | ~ spl0_106 ),
    inference(rat,[],[s1370,s2468,s1138,s1117,s1064,s1063,s1043]) ).

cnf(s2512,plain,
    ( ~ spl0_93
    | ~ spl0_169
    | ~ spl0_98
    | ~ spl0_107
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s1709,s1154,s944,s1063,s1002,s1064,s1117,s554,s31,s6,s2511,s2236,s2155,s401,s2119,s733,s334,s198,s2509,s2152,s2510,s2478,s2344]) ).

cnf(s2513,plain,
    ( ~ spl0_4
    | ~ spl0_169
    | ~ spl0_98
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s1706,s2236,s1151,s2511,s2148,s2119,s1565,s1285,s1043,s334,s1381,s198,s2509,s2152,s2510,s2478]) ).

cnf(s2514,plain,
    ( ~ spl0_100
    | ~ spl0_92
    | ~ spl0_96
    | ~ spl0_169
    | spl0_124
    | ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s1056,s2153,s1002,s471,s1117,s1704,s1303,s1997,s896,s334,s198,s2509]) ).

cnf(s2515,plain,
    ( ~ spl0_169
    | ~ spl0_98
    | ~ spl0_107
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s324,s2148,s516,s1151,s2155,s2514,s31,s6,s2513,s2149,s2512,s2152,s2510,s2509,s659,s2344]) ).

cnf(s2516,plain,
    ( ~ spl0_97
    | ~ spl0_186
    | spl0_191
    | spl0_192
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s31,s2491,s6,s2153,s1138,s1624,s1370,s1372,s1130,s152,s2169,s198,s2509,s2344]) ).

cnf(s2517,plain,
    ( ~ spl0_93
    | ~ spl0_98
    | ~ spl0_107
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s31,s554,s6,s1117,s1138,s1064,s1074,s1063,s1067,s2236,s2155,s401,s2152,s2516,s2119,s2484,s1154,s2148,s2481,s334,s1381,s198,s2509,s2515,s2344,s2478]) ).

cnf(s2518,plain,
    ( ~ spl0_97
    | ~ spl0_92
    | spl0_169
    | spl0_192
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s6,s1285,s31,s1568,s1214,s395,s2042,s1152,s853,s2155,s896,s1372,s152,s2169,s2509,s2478,s2344,s2343]) ).

cnf(s2519,plain,
    ( spl0_151
    | ~ spl0_96
    | ~ spl0_92
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s2236,s2155,s1063,s1151,s1154,s1064,s2148,s1147,s2011,s334,s2509,s695,s2478]) ).

cnf(s2520,plain,
    ( ~ spl0_98
    | ~ spl0_107
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s896,s1997,s2155,s1704,s516,s2491,s395,s31,s6,s1285,s2153,s898,s624,s960,s2519,s2152,s2518,s2149,s2517,s2515,s1381,s198,s2509,s2344,s2478]) ).

cnf(s2521,plain,
    ( ~ spl0_97
    | ~ spl0_169
    | ~ spl0_99
    | ~ spl0_107
    | spl0_109 ),
    inference(rat,[],[s1043,s6,s1624,s1000,s2153,s1427,s471,s1372,s1130,s152,s198,s969,s2344,s2478]) ).

cnf(s2522,plain,
    ( ~ spl0_100
    | spl0_187
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s1709,s1154,s944,s1063,s1002,s2236,s334,s2509,s1064,s2478]) ).

cnf(s2523,plain,
    ( ~ spl0_169
    | ~ spl0_99
    | ~ spl0_107
    | spl0_168 ),
    inference(rat,[],[s853,s2041,s324,s381,s2148,s1263,s1151,s1084,s2152,s2521,s2509,s2155,s2522,s969,s2478,s2344,s2343]) ).

cnf(s2524,plain,
    ( ~ spl0_107
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s381,s2041,s961,s853,s324,s2148,s1151,s2152,s2518,s2523,s935,s2149,s1054,s2155,s2522,s969,s2154,s2520,s334,s2343,s2478,s2344]) ).

cnf(s2525,plain,
    ( spl0_48
    | ~ spl0_101
    | ~ spl0_187
    | ~ spl0_193
    | spl0_191
    | ~ spl0_108
    | ~ spl0_93
    | ~ spl0_97
    | ~ spl0_106 ),
    inference(rat,[],[s368,s2066,s452,s73,s359,s1378,s919,s1041,s1805,s82,s381,s2073,s853,s2478,s2343]) ).

cnf(s2526,plain,
    ( ~ spl0_93
    | ~ spl0_97
    | ~ spl0_169
    | ~ spl0_98
    | ~ spl0_119
    | spl0_168 ),
    inference(rat,[],[s336,s2131,s1051,s1643,s2525,s6,s1172,s1300,s1084,s2155,s1648,s1064,s1624,s1063,s1154,s2148,s625,s656,s660,s2153,s471,s1704,s1369,s733,s334,s198,s2509,s667,s2478]) ).

cnf(s2527,plain,
    ( ~ spl0_100
    | ~ spl0_92
    | ~ spl0_97
    | ~ spl0_169
    | ~ spl0_119
    | spl0_168 ),
    inference(rat,[],[s1624,s2153,s1154,s471,s2148,s1999,s625,s896,s2236,s1648,s334,s198,s2509,s2478]) ).

cnf(s2528,plain,
    ( ~ spl0_97
    | ~ spl0_169
    | spl0_168
    | ~ spl0_98
    | ~ spl0_119 ),
    inference(rat,[],[s853,s2042,s1704,s354,s662,s1300,s1084,s2155,s2527,s2149,s2526]) ).

cnf(s2529,plain,
    ( ~ spl0_167
    | ~ spl0_174
    | ~ spl0_102
    | ~ spl0_169 ),
    inference(rat,[],[s1727,s718,s416,s1262]) ).

cnf(s2530,plain,
    ( ~ spl0_93
    | spl0_187
    | ~ spl0_96
    | ~ spl0_169
    | ~ spl0_98
    | spl0_168 ),
    inference(rat,[],[s731,s433,s1698,s724,s1149,s1569,s2137,s1051,s82,s952,s2529,s1369,s1704,s2358,s471,s2148,s31,s2153,s1154,s6,s1056,s1063,s2511,s1002,s2236,s2155,s2119,s401,s733,s334,s198,s2509,s1064,s2478,s2344]) ).

cnf(s2531,plain,
    ( ~ spl0_100
    | ~ spl0_169
    | ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s471,s1704,s2153,s1997,s1056,s896,s1002,s334,s198,s2509,s2149,s2530,s1117,s584,s2524,s2152,s2528,s2052]) ).

cnf(s2532,plain,
    ( spl0_108
    | spl0_175
    | ~ spl0_98
    | spl0_127
    | spl0_109 ),
    inference(rat,[],[s1285,s898,s6,s1370,s31,s1997,s404,s1704,s2478,s2344]) ).

cnf(s2533,plain,
    ( ~ spl0_169
    | ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s2251,s624,s2042,s2153,s853,s471,s2532,s1084,s2155,s2531,s2149,s2530,s1117,s2152,s2528,s2509,s2052,s584,s2524]) ).

cnf(s2534,plain,
    ( ~ spl0_97
    | ~ spl0_93
    | ~ spl0_173
    | spl0_193
    | ~ spl0_98
    | ~ spl0_119
    | ~ spl0_106 ),
    inference(rat,[],[s381,s2073,s1015,s1014,s1704,s2153,s1369,s1624,s2484,s1154,s2148,s625,s667,s2343,s2478]) ).

cnf(s2535,plain,
    ( spl0_187
    | ~ spl0_100
    | spl0_169
    | ~ spl0_98
    | ~ spl0_119
    | spl0_168 ),
    inference(rat,[],[s337,s885,s2042,s1014,s1704,s960,s662,s2119,s1577,s1285,s2148,s2153,s6,s1154,s1056,s949,s1063,s1002,s1064,s198,s2236,s2509,s334,s2478]) ).

cnf(s2536,plain,
    ( ~ spl0_100
    | ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s1014,s2153,s1999,s1624,s896,s1154,s395,s2149,s2148,s31,s2534,s625,s6,s2152,s1138,s1117,s2535,s1074,s1067,s2236,s1648,s334,s198,s2509,s2052,s584,s2524,s2533,s2478,s2344]) ).

cnf(s2537,plain,
    ( spl0_108
    | ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s31,s6,s395,s1285,s474,s1987,s2532,s1704,s2509,s2052,s2533,s2155,s2536,s2344,s2478]) ).

cnf(s2538,plain,
    ( ~ spl0_94
    | spl0_151
    | spl0_159
    | ~ spl0_119 ),
    inference(rat,[],[s337,s885,s2042]) ).

cnf(s2539,plain,
    ( ~ spl0_98
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s656,s660,s1067,s2153,s2057,s1015,s1083,s1154,s2148,s2538,s381,s2073,s2149,s2251,s960,s2119,s1285,s6,s31,s395,s2042,s853,s2537,s2155,s2536,s2533,s334,s198,s2509,s2052,s2478,s2343,s2344]) ).

cnf(s2540,plain,
    ( ~ spl0_123
    | ~ spl0_8
    | ~ spl0_99
    | ~ spl0_181 ),
    inference(rat,[],[s39,s32,s909,s16,s2034,s995,s962,s2478]) ).

cnf(s2541,plain,
    ( ~ spl0_118
    | ~ spl0_114
    | spl0_171
    | ~ spl0_175
    | ~ spl0_94
    | ~ spl0_102 ),
    inference(rat,[],[s600,s1536,s20,s1260,s1013]) ).

cnf(s2542,plain,
    ( ~ spl0_100
    | ~ spl0_169
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s32,s16,s2043,s922,s626,s1602,s639,s2541,s1691,s2540,s745,s381,s2358,s2041,s31,s471,s2148,s6,s2153,s1154,s1043,s1056,s1063,s1002,s2236,s334,s198,s2509,s584,s2524,s1064,s969,s2154,s2539,s2343,s2478,s2344]) ).

cnf(s2543,plain,
    ( ~ spl0_169
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s1709,s1154,s461,s1063,s1568,s656,s660,s2042,s2153,s1427,s853,s471,s2041,s381,s2149,s1263,s1054,s1084,s2155,s2542,s334,s198,s2509,s2052,s1064,s969,s2154,s2539,s2478,s2343]) ).

cnf(s2544,plain,
    ( ~ spl0_100
    | spl0_127
    | spl0_168 ),
    inference(rat,[],[s550,s1218,s2025,s1691,s2347,s2540,s381,s2041,s1014,s2538,s960,s2119,s2148,s745,s2153,s1154,s1074,s1056,s1063,s1067,s1002,s2236,s334,s198,s2509,s2052,s584,s2524,s1064,s969,s2154,s2539,s2543,s2343,s2478]) ).

cnf(s2545,plain,
    ( ~ spl0_8
    | ~ spl0_101
    | spl0_169
    | ~ spl0_99
    | spl0_127 ),
    inference(rat,[],[s2251,s960,s2042,s2119,s961,s957,s969,s2149,s1054,s2478]) ).

cnf(s2546,plain,
    ( spl0_127
    | spl0_168 ),
    inference(rat,[],[s1697,s2327,s853,s2041,s381,s2545,s2149,s1054,s2155,s2544,s2543,s2154,s2539,s2343,s2478]) ).

cnf(s2547,plain,
    ( ~ spl0_107
    | ~ spl0_4
    | spl0_168
    | ~ spl0_169 ),
    inference(rat,[],[s1707,s2523,s2513]) ).

cnf(s2548,plain,
    ( ~ spl0_4
    | ~ spl0_169
    | spl0_168 ),
    inference(rat,[],[s2547,s584,s586,s2546]) ).

cnf(s2549,plain,
    ( ~ spl0_169
    | spl0_168 ),
    inference(rat,[],[s656,s660,s2153,s471,s404,s1084,s2155,s2236,s625,s2152,s187,s31,s6,s2548,s2148,s775,s334,s198,s2509,s2546,s2344]) ).

cnf(s2553,plain,
    ( ~ spl0_41
    | ~ spl0_159
    | ~ spl0_38
    | ~ spl0_173
    | spl0_109 ),
    inference(rat,[],[s1095,s1066,s552,s851]) ).

cnf(s2554,plain,
    ( spl0_123
    | spl0_151
    | spl0_53
    | ~ spl0_104
    | spl0_41
    | ~ spl0_159
    | spl0_116
    | ~ spl0_98
    | ~ spl0_92 ),
    inference(rat,[],[s33,s20,s2070,s1502,s1283,s594,s595,s2025,s2151,s1540,s1192,s425,s720,s1691]) ).

cnf(s2555,plain,
    ( ~ spl0_123
    | ~ spl0_104
    | ~ spl0_181
    | ~ spl0_9
    | ~ spl0_95
    | ~ spl0_173
    | ~ spl0_127 ),
    inference(rat,[],[s786,s1265,s639,s32,s626,s1517,s16,s783,s756,s995,s1296,s1064,s1063,s1154,s2478]) ).

cnf(s2556,plain,
    ( ~ spl0_100
    | spl0_168 ),
    inference(rat,[],[s28,s800,s25,s639,s2070,s1502,s626,s594,s595,s1261,s2151,s1192,s720,s1691,s2555,s731,s1698,s1761,s616,s368,s676,s2126,s2553,s395,s584,s31,s896,s2518,s935,s6,s2154,s2149,s1138,s969,s2500,s2153,s1064,s381,s1624,s1063,s1156,s1154,s2148,s625,s2152,s1191,s1074,s1067,s2236,s1648,s334,s198,s2509,s2546,s2549,s2344,s2478,s2343]) ).

cnf(s2557,plain,
    ( ~ spl0_159
    | spl0_168 ),
    inference(rat,[],[s960,s2119,s2182,s1285,s586,s6,s31,s2149,s516,s649,s334,s2509,s2546,s2549,s2155,s2556,s2478,s2344]) ).

cnf(s2559,plain,
    spl0_168,
    inference(rat,[],[s2500,s381,s2149,s1156,s1154,s2182,s2148,s960,s324,s2119,s584,s1285,s586,s6,s31,s395,s2557,s2549,s2546,s334,s2343,s2478,s2344]) ).

cnf(s2560,plain,
    ~ spl0_93,
    inference(rat,[],[s1001,s2478,s2559]) ).

cnf(s2561,plain,
    spl0_92,
    inference(rat,[],[s2149,s2560]) ).

cnf(s2562,plain,
    ( ~ spl0_95
    | spl0_127
    | ~ spl0_38 ),
    inference(rat,[],[s381,s1155,s554,s1668,s1154,s1026,s2343,s2478,s2559]) ).

cnf(s2563,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | spl0_127
    | ~ spl0_169 ),
    inference(rat,[],[s430,s2426,s2031,s2380,s2538,s624,s2153,s471,s1704,s1997,s2052,s2148,s2562,s31,s6,s1025,s896,s2561,s2559,s2344]) ).

cnf(s2565,plain,
    ( spl0_108
    | ~ spl0_159
    | ~ spl0_99
    | ~ spl0_100
    | spl0_127
    | ~ spl0_38 ),
    inference(rat,[],[s875,s948,s2025,s2376,s619,s1691,s2540,s554,s381,s745,s2041,s404,s2148,s2562,s1049,s2559,s2561,s2343,s2478]) ).

cnf(s2566,plain,
    ( ~ spl0_159
    | ~ spl0_100
    | spl0_127
    | ~ spl0_169 ),
    inference(rat,[],[s1603,s1501,s32,s33,s1517,s20,s1564,s16,s2152,s1283,s948,s2424,s2025,s1091,s2377,s2153,s1427,s471,s2565,s430,s1541,s2031,s2380,s2148,s2562,s31,s6,s1025,s896,s969,s2154,s2563,s2343,s2559,s2561,s2478,s2344]) ).

cnf(s2567,plain,
    ( ~ spl0_100
    | spl0_127
    | ~ spl0_169 ),
    inference(rat,[],[s745,s1568,s1453,s2042,s2566,s2154,s2563,s461,s2148,s2562,s31,s6,s1025,s2052,s2561,s2344,s2559]) ).

cnf(s2568,plain,
    ( spl0_127
    | ~ spl0_169 ),
    inference(rat,[],[s1707,s624,s1427,s2153,s1568,s471,s2538,s2042,s404,s516,s1084,s1202,s2155,s2567,s461,s2148,s2562,s2052,s31,s6,s1025,s2561,s2559,s2344]) ).

cnf(s2569,plain,
    ( ~ spl0_96
    | ~ spl0_109
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s700,s2501,s1698,s584,s2425,s1122,s2568,s2031,s2380,s31,s6,s1025,s2153,s1211,s2561,s2559,s2344]) ).

cnf(s2570,plain,
    ( ~ spl0_109
    | spl0_158
    | ~ spl0_186
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s865,s1205,s381,s1698,s2420,s1089,s1294,s2502,s2152,s2569,s1091,s2153,s1211,s1541,s2148,s775,s2568,s430,s2031,s2380,s31,s6,s1025,s2343,s2559,s2561,s2344]) ).

cnf(s2571,plain,
    ( ~ spl0_135
    | spl0_171
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s624,s2153,s2554,s2529,s1248,s416,s2506,s452,s1530,s381,s368,s2420,s476,s1805,s2421,s2152,s2468,s187,s198,s2570,s1369,s662,s2148,s775,s2568,s896,s430,s2031,s2380,s31,s6,s1025,s2119,s2561,s2343,s2559,s2344]) ).

cnf(s2572,plain,
    ( ~ spl0_108
    | spl0_163
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s1705,s2426,s471,s31,s6,s1025,s2148,s775,s2568,s896,s430,s2031,s2559,s2561,s2344]) ).

cnf(s2573,plain,
    ( ~ spl0_109
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s620,s368,s2465,s476,s2502,s2152,s2153,s2569,s1211,s2148,s775,s2568,s2571,s1704,s2572,s2380,s31,s6,s1025,s2561,s2559,s2344]) ).

cnf(s2574,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s624,s2153,s2554,s1262,s1248,s416,s2506,s452,s1298,s1530,s381,s368,s2420,s476,s1805,s2421,s2152,s2468,s187,s198,s2573,s430,s2031,s2380,s31,s6,s1025,s2148,s775,s2568,s896,s2561,s2343,s2559,s2344]) ).

cnf(s2575,plain,
    ( ~ spl0_108
    | ~ spl0_107
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s253,s193,s476,s366,s1805,s692,s2572,s31,s6,s1025,s2568,s2559,s2344]) ).

cnf(s2576,plain,
    ( ~ spl0_109
    | ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s1191,s2152,s1453,s625,s388,s1889,s1704,s2575,s584,s2153,s2507,s1211,s2148,s775,s2568,s2042,s2574,s2561,s2559]) ).

cnf(s2577,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s2144,s452,s476,s366,s1805,s692,s2572,s1889,s625,s2152,s187,s198,s2576,s2042,s2574,s31,s6,s1025,s2148,s775,s2568,s2559,s2344]) ).

cnf(s2578,plain,
    ( ~ spl0_100
    | ~ spl0_169 ),
    inference(rat,[],[s875,s948,s2025,s2376,s619,s1691,s2506,s2042,s584,s1889,s2169,s625,s2152,s381,s187,s2041,s709,s1049,s2154,s2577,s896,s31,s6,s1025,s2148,s775,s2568,s2559,s2561,s2343,s2478,s2344]) ).

cnf(s2579,plain,
    ( spl0_48
    | ~ spl0_169 ),
    inference(rat,[],[s2144,s452,s476,s366,s1805,s198,s404,s1084,s2152,s187,s1202,s2155,s2578,s2568,s31,s6,s1025,s2344,s2559]) ).

cnf(s2580,plain,
    ( ~ spl0_127
    | ~ spl0_169 ),
    inference(rat,[],[s1569,s430,s2137,s2031,s1051,s1163,s692,s2579,s2148,s775,s2559,s2478,s2561]) ).

cnf(s2581,plain,
    ~ spl0_169,
    inference(rat,[],[s2580,s2568]) ).

cnf(s2582,plain,
    ( ~ spl0_4
    | spl0_127 ),
    inference(rat,[],[s960,s2251,s2119,s2042,s1285,s765,s2581,s2561,s2478,s2559]) ).

cnf(s2583,plain,
    ( ~ spl0_98
    | ~ spl0_100
    | spl0_127 ),
    inference(rat,[],[s1705,s2426,s1014,s1704,s1997,s430,s2031,s2380,s2042,s354,s1577,s2148,s2562,s2052,s31,s6,s2582,s896,s2559,s2561,s2344,s2581]) ).

cnf(s2584,plain,
    ( ~ spl0_100
    | spl0_127 ),
    inference(rat,[],[s1603,s563,s32,s1729,s1517,s16,s2152,s658,s1283,s948,s2424,s2025,s1091,s2377,s2153,s1014,s2565,s969,s2154,s2583,s896,s1541,s430,s2031,s2380,s2042,s354,s1577,s2148,s2562,s2052,s31,s6,s2582,s2559,s2561,s2478,s2344,s2581]) ).

cnf(s2585,plain,
    spl0_127,
    inference(rat,[],[s516,s1202,s2155,s2584,s2042,s354,s1577,s2148,s2562,s31,s6,s2582,s2052,s2559,s2561,s2581,s2344]) ).

cnf(s2586,plain,
    ( ~ spl0_4
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s1889,s580,s1067,s198,s2057,s2042,s2468,s2441,s765,s586,s896,s2581,s2585,s2559,s2561]) ).

cnf(s2587,plain,
    ( ~ spl0_97
    | ~ spl0_109
    | ~ spl0_171
    | ~ spl0_94
    | spl0_163
    | ~ spl0_38 ),
    inference(rat,[],[s620,s368,s2465,s476,s2502,s2153,s1211,s2561,s2585,s2559]) ).

cnf(s2588,plain,
    ( ~ spl0_109
    | ~ spl0_171
    | ~ spl0_94
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s700,s2501,s1698,s584,s2425,s1122,s2152,s2587,s2153,s1211,s2031,s2380,s31,s6,s2586,s2561,s2585,s2559,s2344]) ).

cnf(s2589,plain,
    ( ~ spl0_94
    | spl0_108
    | ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s2554,s2506,s624,s381,s2153,s2126,s731,s1262,s851,s452,s1298,s1530,s368,s476,s1805,s2421,s2152,s2468,s404,s187,s198,s2588,s898,s1578,s896,s430,s2031,s2380,s31,s6,s2586,s662,s1704,s2561,s2585,s2343,s2559,s2581,s2344]) ).

cnf(s2590,plain,
    ( spl0_181
    | spl0_133
    | ~ spl0_159
    | ~ spl0_38
    | ~ spl0_98
    | spl0_116 ),
    inference(rat,[],[s253,s1355,s700,s1051,s198,s2501,s2468,s584,s2478,s2561,s2585]) ).

cnf(s2591,plain,
    ( ~ spl0_159
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s1705,s2426,s1014,s2589,s2148,s1026,s2590,s430,s617,s2031,s2380,s896,s31,s6,s2586,s2559,s2561,s2344]) ).

cnf(s2592,plain,
    ( ~ spl0_109
    | ~ spl0_94
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s381,s2126,s863,s891,s1355,s1698,s1169,s366,s2587,s2463,s2502,s2152,s1119,s1704,s877,s2153,s1211,s31,s6,s2586,s392,s898,s1578,s354,s2042,s2591,s2343,s2585,s2559,s2581,s2561,s2344]) ).

cnf(s2593,plain,
    ( spl0_48
    | ~ spl0_108
    | ~ spl0_97
    | ~ spl0_106
    | ~ spl0_38 ),
    inference(rat,[],[s2144,s452,s476,s366,s1805,s2585]) ).

cnf(s2594,plain,
    ( ~ spl0_94
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s430,s2031,s2421,s692,s2593,s1889,s625,s2152,s187,s198,s2592,s896,s31,s6,s2586,s2042,s2591,s2561,s2559,s2585,s2344]) ).

cnf(s2595,plain,
    ( ~ spl0_98
    | ~ spl0_100 ),
    inference(rat,[],[s2447,s1704,s2463,s2502,s877,s2152,s2153,s1191,s1211,s1453,s198,s1214,s2468,s584,s1154,s1026,s2148,s2594,s392,s2042,s2591,s31,s6,s2586,s896,s2585,s2559,s2581,s2343,s2478,s2344,s2561]) ).

cnf(s2596,plain,
    ~ spl0_100,
    inference(rat,[],[s875,s948,s2025,s2042,s2376,s354,s619,s1578,s1691,s2148,s2506,s1026,s584,s2169,s2119,s2152,s957,s1175,s381,s2041,s709,s1049,s969,s2154,s2595,s896,s2559,s2561,s2581,s2585,s2343,s2478]) ).

cnf(s2597,plain,
    spl0_101,
    inference(rat,[],[s2155,s2596]) ).

cnf(s2598,plain,
    ~ spl0_187,
    inference(rat,[],[s1244,s2559,s2597]) ).

cnf(s2599,plain,
    ~ spl0_109,
    inference(rat,[],[s1202,s2559,s2597]) ).

cnf(s2602,plain,
    spl0_106,
    inference(rat,[],[s198,s2599]) ).

cnf(s2603,plain,
    ~ spl0_4,
    inference(rat,[],[s1154,s2148,s1214,s1578,s1568,s354,s2119,s2042,s1285,s765,s2478,s2343,s2581,s2561,s2559]) ).

cnf(s2604,plain,
    spl0_9,
    inference(rat,[],[s6,s2603]) ).

cnf(s2606,plain,
    spl0_38,
    inference(rat,[],[s31,s2344,s2604]) ).

cnf(s2608,plain,
    ~ spl0_96,
    inference(rat,[],[s187,s2599,s2585,s2606]) ).

cnf(s2609,plain,
    ~ spl0_159,
    inference(rat,[],[s516,s2597,s2599,s2606]) ).

cnf(s2610,plain,
    spl0_97,
    inference(rat,[],[s2152,s2608]) ).

cnf(s2614,plain,
    ( spl0_48
    | ~ spl0_102
    | ~ spl0_94 ),
    inference(rat,[],[s1262,s1298,s1530,s430,s2031,s735,s452,s368,s476,s1805,s2610,s2561,s2597,s2602,s2606,s2585]) ).

cnf(s2615,plain,
    ( ~ spl0_48
    | ~ spl0_94 ),
    inference(rat,[],[s1569,s430,s2137,s2031,s1051,s1163,s692,s2561,s2478,s2559]) ).

cnf(s2616,plain,
    ~ spl0_94,
    inference(rat,[],[s2339,s2153,s1704,s2614,s2593,s2615,s625,s2609,s2610,s2602,s2606]) ).

cnf(s2617,plain,
    spl0_95,
    inference(rat,[],[s2148,s2616]) ).

cnf(s2618,plain,
    ~ spl0_181,
    inference(rat,[],[s1026,s2559,s2617]) ).

cnf(s2620,plain,
    spl0_107,
    inference(rat,[],[s584,s2618]) ).

cnf(s2627,plain,
    spl0_108,
    inference(rat,[],[s152,s2599,s2610,s2344,s2620]) ).

cnf(s2628,plain,
    spl0_192,
    inference(rat,[],[s1372,s2610,s2598,s2620]) ).

cnf(s2634,plain,
    ~ spl0_99,
    inference(rat,[],[s709,s2585,s2627]) ).

cnf(s2637,plain,
    ~ spl0_98,
    inference(rat,[],[s1381,s2602,s2628]) ).

cnf(s2639,plain,
    $false,
    inference(rat,[],[s1707,s2634,s2637]) ).

thf(f20410,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2639]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRA168^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n016.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 19:11:50 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running higher-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36  % (781188)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.36  % (781195)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3912094251:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.36  % (781195)Instruction limit reached! 
% 0.20/0.36  % (781195)------------------------------
% 0.20/0.36  % (781195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36  % (781195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36  % (781195)CaDiCaL version: 2.1.3
% 0.20/0.36  % (781195)Termination reason: Instruction limit
% 0.20/0.36  % (781195)Termination phase: Saturation
% 0.20/0.36  % (781195)Time elapsed: 0.002 s
% 0.20/0.36  % (781195)Peak memory usage: 12 MB
% 0.20/0.36  % (781195)Instructions burned: 5 (million)
% 0.20/0.36  % (781193)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1715011922:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.36  % (781194)lrs+10_16_si=on:nwc=1.5:random_seed=4043042707:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.36  % (781202)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=745469688:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.36  % (781198)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3949784007:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.36  % (781199)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.36  % (781199)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
% 0.20/0.36  % (781194)Instruction limit reached! 
% 0.20/0.36  % (781194)------------------------------
% 0.20/0.36  % (781194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36  % (781194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36  % (781194)CaDiCaL version: 2.1.3
% 0.20/0.36  % (781194)Termination reason: Instruction limit
% 0.20/0.36  % (781194)Termination phase: Saturation
% 0.20/0.36  % (781194)Time elapsed: 0.010 s
% 0.20/0.36  % (781194)Peak memory usage: 12 MB
% 0.20/0.36  % (781194)Instructions burned: 20 (million)
% 0.20/0.36  % (781202)Instruction limit reached! 
% 0.20/0.36  % (781202)------------------------------
% 0.20/0.36  % (781202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36  % (781202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36  % (781202)CaDiCaL version: 2.1.3
% 0.20/0.36  % (781202)Termination reason: Instruction limit
% 0.20/0.36  % (781202)Termination phase: Saturation
% 0.20/0.36  % (781202)Time elapsed: 0.003 s
% 0.20/0.36  % (781202)Peak memory usage: 12 MB
% 0.20/0.36  % (781202)Instructions burned: 10 (million)
% 0.20/0.36  % (781197)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2861694190:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.36  % (781196)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=1767003050: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)
% 0.20/0.36  % (781199)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=1964304277:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.36  % (781208)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.36  % (781208)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4163721415:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.36  % (781208)Instruction limit reached! 
% 0.20/0.36  % (781208)------------------------------
% 0.20/0.36  % (781208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36  % (781208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36  % (781208)CaDiCaL version: 2.1.3
% 0.20/0.36  % (781208)Termination reason: Instruction limit
% 1.00/0.40  % (781208)Termination phase: Saturation
% 1.00/0.40  % (781208)Time elapsed: 0.003 s
% 1.00/0.40  % (781208)Peak memory usage: 12 MB
% 1.00/0.40  % (781208)Instructions burned: 10 (million)
% 1.00/0.40  % (781207)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=503140841:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.00/0.40  % (781197)Instruction limit reached! 
% 1.00/0.40  % (781197)------------------------------
% 1.00/0.40  % (781197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.40  % (781197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.40  % (781197)CaDiCaL version: 2.1.3
% 1.00/0.40  % (781197)Termination reason: Instruction limit
% 1.00/0.40  % (781197)Termination phase: Saturation
% 1.00/0.40  % (781197)Time elapsed: 0.020 s
% 1.00/0.40  % (781197)Peak memory usage: 12 MB
% 1.00/0.40  % (781197)Instructions burned: 24 (million)
% 1.00/0.40  % (781207)Instruction limit reached! 
% 1.00/0.40  % (781207)------------------------------
% 1.00/0.40  % (781207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.40  % (781207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.40  % (781207)CaDiCaL version: 2.1.3
% 1.00/0.40  % (781207)Termination reason: Instruction limit
% 1.00/0.40  % (781207)Termination phase: Saturation
% 1.00/0.40  % (781207)Time elapsed: 0.004 s
% 1.00/0.40  % (781207)Peak memory usage: 11 MB
% 1.00/0.40  % (781207)Instructions burned: 6 (million)
% 1.00/0.40  % (781193)Instruction limit reached! 
% 1.00/0.40  % (781193)------------------------------
% 1.00/0.40  % (781193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.40  % (781193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.40  % (781193)CaDiCaL version: 2.1.3
% 1.00/0.40  % (781193)Termination reason: Instruction limit
% 1.00/0.40  % (781193)Termination phase: Saturation
% 1.00/0.40  % (781193)Time elapsed: 0.038 s
% 1.00/0.40  % (781193)Peak memory usage: 12 MB
% 1.00/0.40  % (781193)Instructions burned: 88 (million)
% 1.00/0.40  % (781213)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2686534677:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.00/0.40  % (781198)Instruction limit reached! 
% 1.00/0.40  % (781198)------------------------------
% 1.00/0.40  % (781198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.40  % (781198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.40  % (781198)CaDiCaL version: 2.1.3
% 1.00/0.40  % (781198)Termination reason: Instruction limit
% 1.00/0.40  % (781198)Termination phase: Saturation
% 1.00/0.40  % (781198)Time elapsed: 0.038 s
% 1.00/0.40  % (781198)Peak memory usage: 12 MB
% 1.00/0.40  % (781198)Instructions burned: 76 (million)
% 1.00/0.40  % (781213)Instruction limit reached! 
% 1.00/0.40  % (781213)------------------------------
% 1.00/0.40  % (781213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.40  % (781213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.40  % (781213)CaDiCaL version: 2.1.3
% 1.00/0.40  % (781213)Termination reason: Instruction limit
% 1.00/0.40  % (781213)Termination phase: Saturation
% 1.00/0.40  % (781213)Time elapsed: 0.008 s
% 1.00/0.40  % (781213)Peak memory usage: 12 MB
% 1.00/0.40  % (781213)Instructions burned: 14 (million)
% 1.00/0.40  % (781215)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
% 1.00/0.40  % (781215)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.40  % (781215)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4275352195:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.00/0.40  % (781216)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=3741973091:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.00/0.40  % (781217)lrs+10_1_si=on:cs=on:random_seed=3728725345:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.00/0.40  % (781219)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.00/0.43  % (781217)Instruction limit reached! 
% 1.00/0.43  % (781217)------------------------------
% 1.00/0.43  % (781217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781217)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781217)Termination reason: Instruction limit
% 1.00/0.43  % (781217)Termination phase: Saturation
% 1.00/0.43  % (781217)Time elapsed: 0.005 s
% 1.00/0.43  % (781217)Peak memory usage: 12 MB
% 1.00/0.43  % (781217)Instructions burned: 10 (million)
% 1.00/0.43  % (781219)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=1969812726:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.43  % (781215)Instruction limit reached! 
% 1.00/0.43  % (781215)------------------------------
% 1.00/0.43  % (781215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781215)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781215)Termination reason: Instruction limit
% 1.00/0.43  % (781215)Termination phase: Saturation
% 1.00/0.43  % (781215)Time elapsed: 0.015 s
% 1.00/0.43  % (781215)Peak memory usage: 12 MB
% 1.00/0.43  % (781215)Instructions burned: 28 (million)
% 1.00/0.43  % (781220)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=100048425:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.00/0.43  % (781220)Refutation not found, incomplete strategy
% 1.00/0.43  % (781220)------------------------------
% 1.00/0.43  % (781220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781220)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781220)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.43  % (781220)Time elapsed: 0.001 s
% 1.00/0.43  % (781220)Peak memory usage: 11 MB
% 1.00/0.43  % (781219)Instruction limit reached! 
% 1.00/0.43  % (781219)------------------------------
% 1.00/0.43  % (781219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781219)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781219)Termination reason: Instruction limit
% 1.00/0.43  % (781219)Termination phase: Saturation
% 1.00/0.43  % (781219)Time elapsed: 0.006 s
% 1.00/0.43  % (781219)Peak memory usage: 11 MB
% 1.00/0.43  % (781219)Instructions burned: 4 (million)
% 1.00/0.43  % (781220)------------------------------
% 1.00/0.43  % (781220)------------------------------
% 1.00/0.43  % (781226)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2040779288:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.00/0.43  % (781226)Refutation not found, incomplete strategy
% 1.00/0.43  % (781226)------------------------------
% 1.00/0.43  % (781226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781226)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781226)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.43  % (781226)Time elapsed: 0.0000 s
% 1.00/0.43  % (781226)Peak memory usage: 11 MB
% 1.00/0.43  % (781226)------------------------------
% 1.00/0.43  % (781226)------------------------------
% 1.00/0.43  % (781224)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=371684791:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.00/0.43  % (781224)Refutation not found, incomplete strategy
% 1.00/0.43  % (781224)------------------------------
% 1.00/0.43  % (781224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.43  % (781224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.43  % (781224)CaDiCaL version: 2.1.3
% 1.00/0.43  % (781224)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.43  % (781224)Time elapsed: 0.0000 s
% 1.00/0.43  % (781224)Peak memory usage: 11 MB
% 1.00/0.43  % (781224)------------------------------
% 1.00/0.43  % (781224)------------------------------
% 1.00/0.43  % (781231)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2865129226:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.48  % (781231)Instruction limit reached! 
% 1.00/0.48  % (781231)------------------------------
% 1.00/0.48  % (781231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781231)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781231)Termination reason: Instruction limit
% 1.00/0.48  % (781231)Termination phase: Saturation
% 1.00/0.48  % (781231)Time elapsed: 0.004 s
% 1.00/0.48  % (781231)Peak memory usage: 12 MB
% 1.00/0.48  % (781231)Instructions burned: 16 (million)
% 1.00/0.48  % (781216)Instruction limit reached! 
% 1.00/0.48  % (781216)------------------------------
% 1.00/0.48  % (781216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781216)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781216)Termination reason: Instruction limit
% 1.00/0.48  % (781216)Termination phase: Saturation
% 1.00/0.48  % (781216)Time elapsed: 0.042 s
% 1.00/0.48  % (781216)Peak memory usage: 12 MB
% 1.00/0.48  % (781216)Instructions burned: 87 (million)
% 1.00/0.48  % (781228)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=152257495:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.48  % (781234)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=788083588: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)
% 1.00/0.48  % (781234)Refutation not found, incomplete strategy
% 1.00/0.48  % (781234)------------------------------
% 1.00/0.48  % (781234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781234)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781234)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.48  % (781234)Time elapsed: 0.0000 s
% 1.00/0.48  % (781234)Peak memory usage: 11 MB
% 1.00/0.48  % (781234)------------------------------
% 1.00/0.48  % (781234)------------------------------
% 1.00/0.48  % (781235)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4222558525:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.00/0.48  % (781229)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4080844805:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.00/0.48  % (781229)Refutation not found, incomplete strategy
% 1.00/0.48  % (781229)------------------------------
% 1.00/0.48  % (781229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781229)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781229)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.48  % (781229)Time elapsed: 0.001 s
% 1.00/0.48  % (781229)Peak memory usage: 11 MB
% 1.00/0.48  % (781229)------------------------------
% 1.00/0.48  % (781229)------------------------------
% 1.00/0.48  % (781236)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4229508054:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.00/0.48  % (781228)Instruction limit reached! 
% 1.00/0.48  % (781228)------------------------------
% 1.00/0.48  % (781228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781228)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781228)Termination reason: Instruction limit
% 1.00/0.48  % (781228)Termination phase: Saturation
% 1.00/0.48  % (781228)Time elapsed: 0.016 s
% 1.00/0.48  % (781228)Peak memory usage: 12 MB
% 1.00/0.48  % (781228)Instructions burned: 14 (million)
% 1.00/0.48  % (781235)Instruction limit reached! 
% 1.00/0.48  % (781235)------------------------------
% 1.00/0.48  % (781235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.48  % (781235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.48  % (781235)CaDiCaL version: 2.1.3
% 1.00/0.48  % (781235)Termination reason: Instruction limit
% 1.00/0.48  % (781235)Termination phase: Saturation
% 1.00/0.48  % (781235)Time elapsed: 0.016 s
% 1.00/0.48  % (781235)Peak memory usage: 12 MB
% 1.00/0.48  % (781235)Instructions burned: 30 (million)
% 1.00/0.48  % (781236)Instruction limit reached! 
% 1.00/0.52  % (781236)------------------------------
% 1.00/0.52  % (781236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52  % (781236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52  % (781236)CaDiCaL version: 2.1.3
% 1.00/0.52  % (781236)Termination reason: Instruction limit
% 1.00/0.52  % (781236)Termination phase: Saturation
% 1.00/0.52  % (781236)Time elapsed: 0.012 s
% 1.00/0.52  % (781236)Peak memory usage: 11 MB
% 1.00/0.52  % (781236)Instructions burned: 25 (million)
% 1.00/0.52  % (781199)Instruction limit reached! 
% 1.00/0.52  % (781199)------------------------------
% 1.00/0.52  % (781199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52  % (781199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52  % (781243)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
% 1.00/0.52  % (781199)CaDiCaL version: 2.1.3
% 1.00/0.52  % (781243)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.00/0.52  % (781199)Termination reason: Instruction limit
% 1.00/0.52  % (781199)Termination phase: Saturation
% 1.00/0.52  % (781199)Time elapsed: 0.116 s
% 1.00/0.52  % (781199)Peak memory usage: 12 MB
% 1.00/0.52  % (781199)Instructions burned: 158 (million)
% 1.00/0.52  % (781239)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=429066017:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.00/0.52  % (781243)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=1466056245:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.00/0.52  % (781244)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.00/0.52  % (781246)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4083239752:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.00/0.52  % (781246)Instruction limit reached! 
% 1.00/0.52  % (781246)------------------------------
% 1.00/0.52  % (781246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52  % (781246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52  % (781246)CaDiCaL version: 2.1.3
% 1.00/0.52  % (781246)Termination reason: Instruction limit
% 1.00/0.52  % (781246)Termination phase: Saturation
% 1.00/0.52  % (781246)Time elapsed: 0.003 s
% 1.00/0.52  % (781246)Peak memory usage: 12 MB
% 1.00/0.52  % (781246)Instructions burned: 9 (million)
% 1.00/0.52  % (781244)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=1255196604:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.00/0.52  % (781244)Instruction limit reached! 
% 1.00/0.52  % (781244)------------------------------
% 1.00/0.52  % (781244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52  % (781244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52  % (781244)CaDiCaL version: 2.1.3
% 1.00/0.52  % (781244)Termination reason: Instruction limit
% 1.00/0.52  % (781244)Termination phase: Saturation
% 1.00/0.52  % (781244)Time elapsed: 0.007 s
% 1.00/0.52  % (781244)Peak memory usage: 12 MB
% 1.00/0.52  % (781244)Instructions burned: 8 (million)
% 1.00/0.52  % (781251)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1655132951:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.00/0.52  % (781245)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=1515244606:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.00/0.52  % (781251)Instruction limit reached! 
% 1.00/0.52  % (781251)------------------------------
% 1.00/0.52  % (781251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.52  % (781251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.52  % (781251)CaDiCaL version: 2.1.3
% 1.00/0.52  % (781251)Termination reason: Instruction limit
% 1.00/0.52  % (781251)Termination phase: Saturation
% 1.00/0.52  % (781251)Time elapsed: 0.006 s
% 1.00/0.52  % (781251)Peak memory usage: 12 MB
% 1.64/0.59  % (781251)Instructions burned: 23 (million)
% 1.64/0.59  % (781243)Instruction limit reached! 
% 1.64/0.59  % (781243)------------------------------
% 1.64/0.59  % (781243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781243)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781243)Termination reason: Instruction limit
% 1.64/0.59  % (781243)Termination phase: Saturation
% 1.64/0.59  % (781243)Time elapsed: 0.021 s
% 1.64/0.59  % (781243)Peak memory usage: 12 MB
% 1.64/0.59  % (781243)Instructions burned: 14 (million)
% 1.64/0.59  % (781247)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2782577676:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.64/0.59  % (781239)Instruction limit reached! 
% 1.64/0.59  % (781239)------------------------------
% 1.64/0.59  % (781239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781239)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781239)Termination reason: Instruction limit
% 1.64/0.59  % (781239)Termination phase: Saturation
% 1.64/0.59  % (781239)Time elapsed: 0.036 s
% 1.64/0.59  % (781239)Peak memory usage: 12 MB
% 1.64/0.59  % (781239)Instructions burned: 61 (million)
% 1.64/0.59  % (781256)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3049686685:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.64/0.59  % (781245)Instruction limit reached! 
% 1.64/0.59  % (781245)------------------------------
% 1.64/0.59  % (781245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781245)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781245)Termination reason: Instruction limit
% 1.64/0.59  % (781245)Termination phase: Saturation
% 1.64/0.59  % (781245)Time elapsed: 0.023 s
% 1.64/0.59  % (781245)Peak memory usage: 12 MB
% 1.64/0.59  % (781245)Instructions burned: 33 (million)
% 1.64/0.59  % (781257)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2487327877:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.64/0.59  % (781257)Refutation not found, incomplete strategy
% 1.64/0.59  % (781257)------------------------------
% 1.64/0.59  % (781257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781257)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781257)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.59  % (781257)Time elapsed: 0.0000 s
% 1.64/0.59  % (781257)Peak memory usage: 11 MB
% 1.64/0.59  % (781257)------------------------------
% 1.64/0.59  % (781257)------------------------------
% 1.64/0.59  % (781254)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=187749834:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.64/0.59  % (781262)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.64/0.59  % (781247)Instruction limit reached! 
% 1.64/0.59  % (781247)------------------------------
% 1.64/0.59  % (781247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781247)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781247)Termination reason: Instruction limit
% 1.64/0.59  % (781247)Termination phase: Saturation
% 1.64/0.59  % (781247)Time elapsed: 0.025 s
% 1.64/0.59  % (781247)Peak memory usage: 11 MB
% 1.64/0.59  % (781247)Instructions burned: 23 (million)
% 1.64/0.59  % (781262)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=883355508:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.64/0.59  % (781262)Instruction limit reached! 
% 1.64/0.59  % (781262)------------------------------
% 1.64/0.59  % (781262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.59  % (781262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.59  % (781262)CaDiCaL version: 2.1.3
% 1.64/0.59  % (781262)Termination reason: Instruction limit
% 1.64/0.59  % (781262)Termination phase: Saturation
% 2.60/0.68  % (781262)Time elapsed: 0.005 s
% 2.60/0.68  % (781262)Peak memory usage: 12 MB
% 2.60/0.68  % (781262)Instructions burned: 8 (million)
% 2.60/0.68  % (781256)Instruction limit reached! 
% 2.60/0.68  % (781256)------------------------------
% 2.60/0.68  % (781256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.68  % (781256)CaDiCaL version: 2.1.3
% 2.60/0.68  % (781256)Termination reason: Instruction limit
% 2.60/0.68  % (781256)Termination phase: Saturation
% 2.60/0.68  % (781256)Time elapsed: 0.034 s
% 2.60/0.68  % (781256)Peak memory usage: 12 MB
% 2.60/0.68  % (781256)Instructions burned: 146 (million)
% 2.60/0.68  % (781259)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=121415788:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.60/0.68  % (781267)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.60/0.68  % (781196)Instruction limit reached! 
% 2.60/0.68  % (781196)------------------------------
% 2.60/0.68  % (781196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.68  % (781196)CaDiCaL version: 2.1.3
% 2.60/0.68  % (781196)Termination reason: Instruction limit
% 2.60/0.68  % (781196)Termination phase: Saturation
% 2.60/0.68  % (781196)Time elapsed: 0.207 s
% 2.60/0.68  % (781196)Peak memory usage: 13 MB
% 2.60/0.68  % (781196)Instructions burned: 635 (million)
% 2.60/0.68  % (781268)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1972107803:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.60/0.68  % (781267)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=838057160:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.60/0.68  % (781267)Refutation not found, incomplete strategy
% 2.60/0.68  % (781267)------------------------------
% 2.60/0.68  % (781267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.68  % (781267)CaDiCaL version: 2.1.3
% 2.60/0.68  % (781267)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.68  % (781267)Time elapsed: 0.001 s
% 2.60/0.68  % (781267)Peak memory usage: 11 MB
% 2.60/0.68  % (781267)Instructions burned: 1 (million)
% 2.60/0.68  % (781267)------------------------------
% 2.60/0.68  % (781267)------------------------------
% 2.60/0.68  % (781263)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3361511926:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.60/0.68  % (781268)Instruction limit reached! 
% 2.60/0.68  % (781268)------------------------------
% 2.60/0.68  % (781268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.68  % (781268)CaDiCaL version: 2.1.3
% 2.60/0.68  % (781268)Termination reason: Instruction limit
% 2.60/0.68  % (781268)Termination phase: Saturation
% 2.60/0.68  % (781268)Time elapsed: 0.009 s
% 2.60/0.68  % (781268)Peak memory usage: 12 MB
% 2.60/0.68  % (781268)Instructions burned: 22 (million)
% 2.60/0.68  % (781263)Refutation not found, incomplete strategy
% 2.60/0.68  % (781263)------------------------------
% 2.60/0.68  % (781263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.68  % (781263)CaDiCaL version: 2.1.3
% 2.60/0.68  % (781263)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.68  % (781263)Time elapsed: 0.001 s
% 2.60/0.68  % (781263)Peak memory usage: 11 MB
% 2.60/0.68  % (781263)------------------------------
% 2.60/0.68  % (781263)------------------------------
% 2.60/0.68  % (781265)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=4236902946: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)
% 2.60/0.68  % (781265)Refutation not found, incomplete strategy
% 2.60/0.68  % (781265)------------------------------
% 2.60/0.68  % (781265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.68  % (781265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.74  % (781265)CaDiCaL version: 2.1.3
% 2.60/0.74  % (781265)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.74  % (781265)Time elapsed: 0.002 s
% 2.60/0.74  % (781265)Peak memory usage: 11 MB
% 2.60/0.74  % (781265)------------------------------
% 2.60/0.74  % (781265)------------------------------
% 2.60/0.74  % (781259)Instruction limit reached! 
% 2.60/0.74  % (781259)------------------------------
% 2.60/0.74  % (781259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.74  % (781259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.74  % (781259)CaDiCaL version: 2.1.3
% 2.60/0.74  % (781259)Termination reason: Instruction limit
% 2.60/0.74  % (781259)Termination phase: Saturation
% 2.60/0.74  % (781259)Time elapsed: 0.034 s
% 2.60/0.74  % (781259)Peak memory usage: 12 MB
% 2.60/0.74  % (781259)Instructions burned: 43 (million)
% 2.60/0.74  % (781275)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=323464705: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)
% 2.60/0.74  % (781270)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2713144886:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.60/0.74  % (781270)Refutation not found, incomplete strategy
% 2.60/0.74  % (781270)------------------------------
% 2.60/0.74  % (781270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.74  % (781270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.74  % (781270)CaDiCaL version: 2.1.3
% 2.60/0.74  % (781270)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.74  % (781270)Time elapsed: 0.003 s
% 2.60/0.74  % (781270)Peak memory usage: 12 MB
% 2.60/0.74  % (781270)Instructions burned: 2 (million)
% 2.60/0.74  % (781270)------------------------------
% 2.60/0.74  % (781270)------------------------------
% 2.60/0.74  % (781273)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=3231415133:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.60/0.74  % (781280)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=852196377: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)
% 2.60/0.74  % (781276)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=649909101: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)
% 2.60/0.74  % (781283)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.60/0.74  % (781283)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1459340114:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.60/0.74  % (781279)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1175852774:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.60/0.74  % (781280)Instruction limit reached! 
% 2.60/0.74  % (781280)------------------------------
% 2.60/0.74  % (781280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.74  % (781280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.74  % (781280)CaDiCaL version: 2.1.3
% 2.60/0.74  % (781280)Termination reason: Instruction limit
% 2.60/0.74  % (781280)Termination phase: Saturation
% 2.60/0.74  % (781280)Time elapsed: 0.028 s
% 2.60/0.74  % (781280)Peak memory usage: 12 MB
% 2.60/0.74  % (781280)Instructions burned: 21 (million)
% 2.60/0.74  % (781279)Refutation not found, incomplete strategy
% 2.60/0.74  % (781279)------------------------------
% 2.60/0.74  % (781279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.74  % (781279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.74  % (781279)CaDiCaL version: 2.1.3
% 2.60/0.74  % (781279)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.74  % (781279)Time elapsed: 0.006 s
% 2.60/0.74  % (781279)Peak memory usage: 12 MB
% 2.60/0.79  % (781279)Instructions burned: 1 (million)
% 2.60/0.79  % (781279)------------------------------
% 2.60/0.79  % (781279)------------------------------
% 2.60/0.79  % (781288)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2616558810:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.60/0.79  % (781276)Instruction limit reached! 
% 2.60/0.79  % (781276)------------------------------
% 2.60/0.79  % (781276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.79  % (781276)CaDiCaL version: 2.1.3
% 2.60/0.79  % (781276)Termination reason: Instruction limit
% 2.60/0.79  % (781276)Termination phase: Saturation
% 2.60/0.79  % (781276)Time elapsed: 0.052 s
% 2.60/0.79  % (781276)Peak memory usage: 12 MB
% 2.60/0.79  % (781276)Instructions burned: 46 (million)
% 2.60/0.79  % (781290)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=1473662388:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.60/0.79  % (781288)Instruction limit reached! 
% 2.60/0.79  % (781288)------------------------------
% 2.60/0.79  % (781288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.79  % (781288)CaDiCaL version: 2.1.3
% 2.60/0.79  % (781288)Termination reason: Instruction limit
% 2.60/0.79  % (781288)Termination phase: Saturation
% 2.60/0.79  % (781288)Time elapsed: 0.009 s
% 2.60/0.79  % (781288)Peak memory usage: 12 MB
% 2.60/0.79  % (781288)Instructions burned: 14 (million)
% 2.60/0.79  % (781294)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=990933843:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.60/0.79  % (781292)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=888312813:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.60/0.79  % (781294)Instruction limit reached! 
% 2.60/0.79  % (781294)------------------------------
% 2.60/0.79  % (781294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.79  % (781294)CaDiCaL version: 2.1.3
% 2.60/0.79  % (781294)Termination reason: Instruction limit
% 2.60/0.79  % (781294)Termination phase: Saturation
% 2.60/0.79  % (781294)Time elapsed: 0.018 s
% 2.60/0.79  % (781294)Peak memory usage: 12 MB
% 2.60/0.79  % (781294)Instructions burned: 35 (million)
% 2.60/0.79  % (781292)Refutation not found, incomplete strategy
% 2.60/0.79  % (781292)------------------------------
% 2.60/0.79  % (781292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.79  % (781292)CaDiCaL version: 2.1.3
% 2.60/0.79  % (781292)Termination reason: Refutation not found, incomplete strategy
% 2.60/0.79  % (781292)Time elapsed: 0.002 s
% 2.60/0.79  % (781292)Peak memory usage: 12 MB
% 2.60/0.79  % (781292)Instructions burned: 1 (million)
% 2.60/0.79  % (781292)------------------------------
% 2.60/0.79  % (781292)------------------------------
% 2.60/0.79  % (781290)Instruction limit reached! 
% 2.60/0.79  % (781290)------------------------------
% 2.60/0.79  % (781290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.79  % (781290)CaDiCaL version: 2.1.3
% 2.60/0.79  % (781290)Termination reason: Instruction limit
% 2.60/0.79  % (781290)Termination phase: Saturation
% 2.60/0.79  % (781290)Time elapsed: 0.048 s
% 2.60/0.79  % (781290)Peak memory usage: 13 MB
% 2.60/0.79  % (781290)Instructions burned: 66 (million)
% 2.60/0.79  % (781297)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=712866728:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.60/0.79  % (781299)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2839684075:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.60/0.79  % (781299)Refutation not found, incomplete strategy
% 2.60/0.79  % (781299)------------------------------
% 2.60/0.79  % (781299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.79  % (781299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781299)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781299)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.85  % (781299)Time elapsed: 0.001 s
% 3.31/0.85  % (781299)Peak memory usage: 11 MB
% 3.31/0.85  % (781299)Instructions burned: 1 (million)
% 3.31/0.85  % (781299)------------------------------
% 3.31/0.85  % (781299)------------------------------
% 3.31/0.85  % (781298)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=1456543987:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.31/0.85  % (781302)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.31/0.85  % (781302)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2708065839:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.31/0.85  % (781283)Instruction limit reached! 
% 3.31/0.85  % (781283)------------------------------
% 3.31/0.85  % (781283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781283)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781283)Termination reason: Instruction limit
% 3.31/0.85  % (781283)Termination phase: Saturation
% 3.31/0.85  % (781283)Time elapsed: 0.137 s
% 3.31/0.85  % (781283)Peak memory usage: 12 MB
% 3.31/0.85  % (781283)Instructions burned: 200 (million)
% 3.31/0.85  % (781275)Instruction limit reached! 
% 3.31/0.85  % (781275)------------------------------
% 3.31/0.85  % (781275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781275)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781275)Termination reason: Instruction limit
% 3.31/0.85  % (781275)Termination phase: Saturation
% 3.31/0.85  % (781275)Time elapsed: 0.196 s
% 3.31/0.85  % (781275)Peak memory usage: 13 MB
% 3.31/0.85  % (781275)Instructions burned: 857 (million)
% 3.31/0.85  % (781298)Instruction limit reached! 
% 3.31/0.85  % (781298)------------------------------
% 3.31/0.85  % (781298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781298)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781298)Termination reason: Instruction limit
% 3.31/0.85  % (781298)Termination phase: Saturation
% 3.31/0.85  % (781298)Time elapsed: 0.033 s
% 3.31/0.85  % (781298)Peak memory usage: 12 MB
% 3.31/0.85  % (781298)Instructions burned: 35 (million)
% 3.31/0.85  % (781297)Instruction limit reached! 
% 3.31/0.85  % (781297)------------------------------
% 3.31/0.85  % (781297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781297)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781297)Termination reason: Instruction limit
% 3.31/0.85  % (781297)Termination phase: Saturation
% 3.31/0.85  % (781297)Time elapsed: 0.060 s
% 3.31/0.85  % (781297)Peak memory usage: 12 MB
% 3.31/0.85  % (781297)Instructions burned: 139 (million)
% 3.31/0.85  % (781306)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2486255770:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.31/0.85  % (781305)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=645276653:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.31/0.85  % (781305)Refutation not found, incomplete strategy
% 3.31/0.85  % (781305)------------------------------
% 3.31/0.85  % (781305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/0.85  % (781305)CaDiCaL version: 2.1.3
% 3.31/0.85  % (781305)Termination reason: Refutation not found, incomplete strategy
% 3.31/0.85  % (781305)Time elapsed: 0.001 s
% 3.31/0.85  % (781305)Peak memory usage: 11 MB
% 3.31/0.85  % (781307)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=435233246:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.31/0.85  % (781307)Refutation not found, incomplete strategy
% 3.31/0.85  % (781307)------------------------------
% 3.31/0.85  % (781307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.31/0.85  % (781307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781307)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781307)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.92  % (781307)Time elapsed: 0.0000 s
% 3.79/0.92  % (781307)Peak memory usage: 11 MB
% 3.79/0.92  % (781307)------------------------------
% 3.79/0.92  % (781307)------------------------------
% 3.79/0.92  % (781305)------------------------------
% 3.79/0.92  % (781305)------------------------------
% 3.79/0.92  % (781312)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2276974398:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.79/0.92  % (781312)Refutation not found, incomplete strategy
% 3.79/0.92  % (781312)------------------------------
% 3.79/0.92  % (781312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.92  % (781312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781312)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781312)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.92  % (781312)Time elapsed: 0.001 s
% 3.79/0.92  % (781312)Peak memory usage: 12 MB
% 3.79/0.92  % (781312)------------------------------
% 3.79/0.92  % (781312)------------------------------
% 3.79/0.92  % (781306)Instruction limit reached! 
% 3.79/0.92  % (781306)------------------------------
% 3.79/0.92  % (781306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.92  % (781306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781306)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781306)Termination reason: Instruction limit
% 3.79/0.92  % (781306)Termination phase: Saturation
% 3.79/0.92  % (781306)Time elapsed: 0.028 s
% 3.79/0.92  % (781306)Peak memory usage: 12 MB
% 3.79/0.92  % (781306)Instructions burned: 100 (million)
% 3.79/0.92  % (781308)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2727431293:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.79/0.92  % (781308)Refutation not found, incomplete strategy
% 3.79/0.92  % (781308)------------------------------
% 3.79/0.92  % (781308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.92  % (781308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781308)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781308)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.92  % (781308)Time elapsed: 0.001 s
% 3.79/0.92  % (781308)Peak memory usage: 11 MB
% 3.79/0.92  % (781308)------------------------------
% 3.79/0.92  % (781308)------------------------------
% 3.79/0.92  % (781313)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3684342974:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.79/0.92  % (781313)Refutation not found, incomplete strategy
% 3.79/0.92  % (781313)------------------------------
% 3.79/0.92  % (781313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.92  % (781313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781313)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781313)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.92  % (781313)Time elapsed: 0.002 s
% 3.79/0.92  % (781313)Peak memory usage: 11 MB
% 3.79/0.92  % (781313)Instructions burned: 1 (million)
% 3.79/0.92  % (781313)------------------------------
% 3.79/0.92  % (781313)------------------------------
% 3.79/0.92  % (781318)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1679878319:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.79/0.92  % (781315)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1297042747:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.79/0.92  % (781273)Instruction limit reached! 
% 3.79/0.92  % (781273)------------------------------
% 3.79/0.92  % (781273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.92  % (781273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.92  % (781316)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2739305636:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.79/0.92  % (781273)CaDiCaL version: 2.1.3
% 3.79/0.92  % (781273)Termination reason: Instruction limit
% 3.79/0.92  % (781273)Termination phase: Saturation
% 3.79/0.92  % (781273)Time elapsed: 0.251 s
% 3.79/0.92  % (781273)Peak memory usage: 13 MB
% 3.79/0.92  % (781273)Instructions burned: 316 (million)
% 3.79/0.92  % (781316)Refutation not found, incomplete strategy
% 3.79/0.98  % (781316)------------------------------
% 3.79/0.98  % (781316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.98  % (781316)CaDiCaL version: 2.1.3
% 3.79/0.98  % (781316)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.98  % (781316)Time elapsed: 0.001 s
% 3.79/0.98  % (781316)Peak memory usage: 12 MB
% 3.79/0.98  % (781316)Instructions burned: 1 (million)
% 3.79/0.98  % (781316)------------------------------
% 3.79/0.98  % (781316)------------------------------
% 3.79/0.98  % (781320)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2634244832:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.79/0.98  % (781315)Instruction limit reached! 
% 3.79/0.98  % (781315)------------------------------
% 3.79/0.98  % (781315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.98  % (781315)CaDiCaL version: 2.1.3
% 3.79/0.98  % (781315)Termination reason: Instruction limit
% 3.79/0.98  % (781315)Termination phase: Saturation
% 3.79/0.98  % (781315)Time elapsed: 0.021 s
% 3.79/0.98  % (781315)Peak memory usage: 12 MB
% 3.79/0.98  % (781315)Instructions burned: 44 (million)
% 3.79/0.98  % (781325)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=2584439629: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)
% 3.79/0.98  % (781302)Instruction limit reached! 
% 3.79/0.98  % (781302)------------------------------
% 3.79/0.98  % (781302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.98  % (781302)CaDiCaL version: 2.1.3
% 3.79/0.98  % (781302)Termination reason: Instruction limit
% 3.79/0.98  % (781302)Termination phase: Saturation
% 3.79/0.98  % (781302)Time elapsed: 0.114 s
% 3.79/0.98  % (781302)Peak memory usage: 12 MB
% 3.79/0.98  % (781302)Instructions burned: 181 (million)
% 3.79/0.98  % (781324)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=1127452609:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.79/0.98  % (781327)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=1333047863: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)
% 3.79/0.98  % (781327)Refutation not found, incomplete strategy
% 3.79/0.98  % (781327)------------------------------
% 3.79/0.98  % (781327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.98  % (781327)CaDiCaL version: 2.1.3
% 3.79/0.98  % (781327)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.98  % (781327)Time elapsed: 0.001 s
% 3.79/0.98  % (781327)Peak memory usage: 12 MB
% 3.79/0.98  % (781327)------------------------------
% 3.79/0.98  % (781327)------------------------------
% 3.79/0.98  % (781329)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1598521502:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.79/0.98  % (781329)Refutation not found, incomplete strategy
% 3.79/0.98  % (781329)------------------------------
% 3.79/0.98  % (781329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/0.98  % (781329)CaDiCaL version: 2.1.3
% 3.79/0.98  % (781329)Termination reason: Refutation not found, incomplete strategy
% 3.79/0.98  % (781329)Time elapsed: 0.001 s
% 3.79/0.98  % (781329)Peak memory usage: 11 MB
% 3.79/0.98  % (781329)------------------------------
% 3.79/0.98  % (781329)------------------------------
% 3.79/0.98  % (781324)Instruction limit reached! 
% 3.79/0.98  % (781324)------------------------------
% 3.79/0.98  % (781324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.79/0.98  % (781324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.11  % (781324)CaDiCaL version: 2.1.3
% 4.89/1.11  % (781324)Termination reason: Instruction limit
% 4.89/1.11  % (781324)Termination phase: Saturation
% 4.89/1.11  % (781324)Time elapsed: 0.031 s
% 4.89/1.11  % (781324)Peak memory usage: 12 MB
% 4.89/1.11  % (781324)Instructions burned: 67 (million)
% 4.89/1.11  % (781320)Instruction limit reached! 
% 4.89/1.11  % (781320)------------------------------
% 4.89/1.11  % (781320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.11  % (781320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.11  % (781320)CaDiCaL version: 2.1.3
% 4.89/1.11  % (781320)Termination reason: Instruction limit
% 4.89/1.11  % (781320)Termination phase: Saturation
% 4.89/1.11  % (781320)Time elapsed: 0.050 s
% 4.89/1.11  % (781320)Peak memory usage: 12 MB
% 4.89/1.11  % (781320)Instructions burned: 95 (million)
% 4.89/1.11  % (781332)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4178471741:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 4.89/1.11  % (781325)Instruction limit reached! 
% 4.89/1.11  % (781325)------------------------------
% 4.89/1.11  % (781325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.11  % (781325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.11  % (781325)CaDiCaL version: 2.1.3
% 4.89/1.11  % (781325)Termination reason: Instruction limit
% 4.89/1.11  % (781325)Termination phase: Saturation
% 4.89/1.11  % (781325)Time elapsed: 0.065 s
% 4.89/1.11  % (781325)Peak memory usage: 12 MB
% 4.89/1.11  % (781325)Instructions burned: 106 (million)
% 4.89/1.11  % (781336)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4112520837:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 4.89/1.11  % (781336)Refutation not found, incomplete strategy
% 4.89/1.11  % (781336)------------------------------
% 4.89/1.11  % (781336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.11  % (781336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.11  % (781336)CaDiCaL version: 2.1.3
% 4.89/1.11  % (781336)Termination reason: Refutation not found, incomplete strategy
% 4.89/1.11  % (781336)Time elapsed: 0.001 s
% 4.89/1.11  % (781336)Peak memory usage: 11 MB
% 4.89/1.11  % (781336)------------------------------
% 4.89/1.11  % (781336)------------------------------
% 4.89/1.11  % (781335)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1413972899:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 4.89/1.11  % (781334)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=2651893133:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.89/1.11  % (781318)Instruction limit reached! 
% 4.89/1.11  % (781318)------------------------------
% 4.89/1.11  % (781318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.11  % (781318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.11  % (781318)CaDiCaL version: 2.1.3
% 4.89/1.11  % (781318)Termination reason: Instruction limit
% 4.89/1.11  % (781318)Termination phase: Saturation
% 4.89/1.11  % (781318)Time elapsed: 0.115 s
% 4.89/1.11  % (781318)Peak memory usage: 12 MB
% 4.89/1.12  % (781318)Instructions burned: 451 (million)
% 4.89/1.12  % (781340)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=1765993033:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 4.89/1.12  % (781338)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2819193837:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 4.89/1.12  % (781338)Instruction limit reached! 
% 4.89/1.12  % (781338)------------------------------
% 4.89/1.12  % (781338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.89/1.12  % (781338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.89/1.12  % (781338)CaDiCaL version: 2.1.3
% 4.89/1.12  % (781338)Termination reason: Instruction limit
% 4.89/1.12  % (781338)Termination phase: Saturation
% 4.89/1.12  % (781338)Time elapsed: 0.006 s
% 4.89/1.12  % (781338)Peak memory usage: 12 MB
% 4.89/1.12  % (781338)Instructions burned: 24 (million)
% 4.89/1.12  % (781346)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.73/1.23  % (781346)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1400079225: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)
% 5.73/1.23  % (781334)Instruction limit reached! 
% 5.73/1.23  % (781334)------------------------------
% 5.73/1.23  % (781334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.23  % (781334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.23  % (781334)CaDiCaL version: 2.1.3
% 5.73/1.23  % (781334)Termination reason: Instruction limit
% 5.73/1.23  % (781334)Termination phase: Saturation
% 5.73/1.23  % (781334)Time elapsed: 0.035 s
% 5.73/1.23  % (781334)Peak memory usage: 12 MB
% 5.73/1.23  % (781334)Instructions burned: 35 (million)
% 5.73/1.23  % (781343)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3722767237:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.73/1.23  % (781343)Refutation not found, incomplete strategy
% 5.73/1.23  % (781343)------------------------------
% 5.73/1.23  % (781343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.23  % (781343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.23  % (781343)CaDiCaL version: 2.1.3
% 5.73/1.23  % (781343)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.23  % (781343)Time elapsed: 0.001 s
% 5.73/1.23  % (781343)Peak memory usage: 11 MB
% 5.73/1.23  % (781343)------------------------------
% 5.73/1.23  % (781343)------------------------------
% 5.73/1.23  % (781335)Instruction limit reached! 
% 5.73/1.23  % (781335)------------------------------
% 5.73/1.23  % (781335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.23  % (781335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.23  % (781335)CaDiCaL version: 2.1.3
% 5.73/1.23  % (781335)Termination reason: Instruction limit
% 5.73/1.23  % (781335)Termination phase: Saturation
% 5.73/1.23  % (781335)Time elapsed: 0.053 s
% 5.73/1.23  % (781335)Peak memory usage: 12 MB
% 5.73/1.23  % (781335)Instructions burned: 91 (million)
% 5.73/1.23  % (781346)Instruction limit reached! 
% 5.73/1.23  % (781346)------------------------------
% 5.73/1.23  % (781346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.23  % (781346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.23  % (781346)CaDiCaL version: 2.1.3
% 5.73/1.23  % (781346)Termination reason: Instruction limit
% 5.73/1.23  % (781346)Termination phase: Saturation
% 5.73/1.23  % (781346)Time elapsed: 0.030 s
% 5.73/1.23  % (781346)Peak memory usage: 12 MB
% 5.73/1.23  % (781346)Instructions burned: 143 (million)
% 5.73/1.23  % (781350)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3278562064:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.73/1.23  % (781350)Refutation not found, incomplete strategy
% 5.73/1.23  % (781350)------------------------------
% 5.73/1.23  % (781350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.23  % (781350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.23  % (781350)CaDiCaL version: 2.1.3
% 5.73/1.23  % (781350)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.23  % (781350)Time elapsed: 0.0000 s
% 5.73/1.23  % (781350)Peak memory usage: 11 MB
% 5.73/1.23  % (781350)------------------------------
% 5.73/1.23  % (781350)------------------------------
% 5.73/1.23  % (781349)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=1936583279:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.73/1.23  % (781352)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2692103716:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.73/1.23  % (781351)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.73/1.23  % (781354)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2326857431:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.73/1.23  % (781354)Refutation not found, incomplete strategy
% 5.73/1.23  % (781354)------------------------------
% 5.73/1.23  % (781354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.26  % (781354)CaDiCaL version: 2.1.3
% 5.73/1.26  % (781354)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.26  % (781354)Time elapsed: 0.001 s
% 5.73/1.26  % (781354)Peak memory usage: 11 MB
% 5.73/1.26  % (781354)Instructions burned: 1 (million)
% 5.73/1.26  % (781354)------------------------------
% 5.73/1.26  % (781354)------------------------------
% 5.73/1.26  % (781351)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2201420113:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.73/1.26  % (781352)Instruction limit reached! 
% 5.73/1.26  % (781352)------------------------------
% 5.73/1.26  % (781352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.26  % (781352)CaDiCaL version: 2.1.3
% 5.73/1.26  % (781352)Termination reason: Instruction limit
% 5.73/1.26  % (781352)Termination phase: Saturation
% 5.73/1.26  % (781352)Time elapsed: 0.025 s
% 5.73/1.26  % (781352)Peak memory usage: 12 MB
% 5.73/1.26  % (781352)Instructions burned: 118 (million)
% 5.73/1.26  % (781358)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3284021918: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)
% 5.73/1.26  % (781360)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=958590422: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)
% 5.73/1.26  % (781332)Instruction limit reached! 
% 5.73/1.26  % (781332)------------------------------
% 5.73/1.26  % (781332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.26  % (781332)CaDiCaL version: 2.1.3
% 5.73/1.26  % (781332)Termination reason: Instruction limit
% 5.73/1.26  % (781332)Termination phase: Saturation
% 5.73/1.26  % (781332)Time elapsed: 0.221 s
% 5.73/1.26  % (781332)Peak memory usage: 13 MB
% 5.73/1.26  % (781332)Instructions burned: 496 (million)
% 5.73/1.26  % (781340)Instruction limit reached! 
% 5.73/1.26  % (781340)------------------------------
% 5.73/1.26  % (781340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.26  % (781340)CaDiCaL version: 2.1.3
% 5.73/1.26  % (781340)Termination reason: Instruction limit
% 5.73/1.26  % (781340)Termination phase: Saturation
% 5.73/1.26  % (781340)Time elapsed: 0.182 s
% 5.73/1.26  % (781340)Peak memory usage: 14 MB
% 5.73/1.26  % (781340)Instructions burned: 339 (million)
% 5.73/1.26  % (781364)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
% 5.73/1.26  % (781363)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2403716714:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.73/1.26  % (781363)Refutation not found, incomplete strategy
% 5.73/1.26  % (781363)------------------------------
% 5.73/1.26  % (781363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.26  % (781363)CaDiCaL version: 2.1.3
% 5.73/1.26  % (781363)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.26  % (781363)Time elapsed: 0.001 s
% 5.73/1.26  % (781363)Peak memory usage: 11 MB
% 5.73/1.26  % (781363)------------------------------
% 5.73/1.26  % (781363)------------------------------
% 5.73/1.26  % (781364)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=934261026:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.73/1.26  % (781358)Instruction limit reached! 
% 5.73/1.26  % (781358)------------------------------
% 5.73/1.26  % (781358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.26  % (781358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781358)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781358)Termination reason: Instruction limit
% 6.26/1.33  % (781358)Termination phase: Saturation
% 6.26/1.33  % (781358)Time elapsed: 0.115 s
% 6.26/1.33  % (781358)Peak memory usage: 12 MB
% 6.26/1.33  % (781358)Instructions burned: 271 (million)
% 6.26/1.33  % (781367)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2053675005:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 6.26/1.33  % (781368)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.26/1.33  % (781368)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
% 6.26/1.33  % (781368)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=3461167681:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 6.26/1.33  % (781367)Instruction limit reached! 
% 6.26/1.33  % (781367)------------------------------
% 6.26/1.33  % (781367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.33  % (781367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781367)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781367)Termination reason: Instruction limit
% 6.26/1.33  % (781367)Termination phase: Saturation
% 6.26/1.33  % (781367)Time elapsed: 0.016 s
% 6.26/1.33  % (781367)Peak memory usage: 12 MB
% 6.26/1.33  % (781367)Instructions burned: 32 (million)
% 6.26/1.33  % (781371)dis+10_2_sil=128000:si=on:random_seed=1187358714:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 6.26/1.33  % (781371)Refutation not found, incomplete strategy
% 6.26/1.33  % (781371)------------------------------
% 6.26/1.33  % (781371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.33  % (781371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781371)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781371)Termination reason: Refutation not found, incomplete strategy
% 6.26/1.33  % (781371)Time elapsed: 0.0000 s
% 6.26/1.33  % (781371)Peak memory usage: 11 MB
% 6.26/1.33  % (781371)------------------------------
% 6.26/1.33  % (781371)------------------------------
% 6.26/1.33  % (781373)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3278855611:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 6.26/1.33  % (781349)Instruction limit reached! 
% 6.26/1.33  % (781349)------------------------------
% 6.26/1.33  % (781349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.33  % (781349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781349)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781349)Termination reason: Instruction limit
% 6.26/1.33  % (781349)Termination phase: Saturation
% 6.26/1.33  % (781349)Time elapsed: 0.227 s
% 6.26/1.33  % (781349)Peak memory usage: 13 MB
% 6.26/1.33  % (781349)Instructions burned: 342 (million)
% 6.26/1.33  % (781254)Instruction limit reached! 
% 6.26/1.33  % (781254)------------------------------
% 6.26/1.33  % (781254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.33  % (781254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781254)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781254)Termination reason: Instruction limit
% 6.26/1.33  % (781254)Termination phase: Saturation
% 6.26/1.33  % (781254)Time elapsed: 0.728 s
% 6.26/1.33  % (781254)Peak memory usage: 13 MB
% 6.26/1.33  % (781254)Instructions burned: 1240 (million)
% 6.26/1.33  % (781364)Instruction limit reached! 
% 6.26/1.33  % (781364)------------------------------
% 6.26/1.33  % (781364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.26/1.33  % (781364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/1.33  % (781364)CaDiCaL version: 2.1.3
% 6.26/1.33  % (781364)Termination reason: Instruction limit
% 6.26/1.33  % (781364)Termination phase: Saturation
% 6.26/1.33  % (781364)Time elapsed: 0.106 s
% 6.26/1.33  % (781364)Peak memory usage: 12 MB
% 6.26/1.33  % (781364)Instructions burned: 272 (million)
% 6.26/1.33  % (781375)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=405916926:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 6.46/1.43  % (781375)Refutation not found, incomplete strategy
% 6.46/1.43  % (781375)------------------------------
% 6.46/1.43  % (781375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.43  % (781375)CaDiCaL version: 2.1.3
% 6.46/1.43  % (781375)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.43  % (781375)Time elapsed: 0.001 s
% 6.46/1.43  % (781375)Peak memory usage: 11 MB
% 6.46/1.43  % (781375)------------------------------
% 6.46/1.43  % (781375)------------------------------
% 6.46/1.43  % (781376)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=110385383:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.46/1.43  % (781377)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3362544764:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.46/1.43  % (781377)Refutation not found, incomplete strategy
% 6.46/1.43  % (781377)------------------------------
% 6.46/1.43  % (781377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.43  % (781377)CaDiCaL version: 2.1.3
% 6.46/1.43  % (781377)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.43  % (781377)Time elapsed: 0.0000 s
% 6.46/1.43  % (781377)Peak memory usage: 11 MB
% 6.46/1.43  % (781373)Instruction limit reached! 
% 6.46/1.43  % (781373)------------------------------
% 6.46/1.43  % (781373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.43  % (781377)------------------------------
% 6.46/1.43  % (781377)------------------------------
% 6.46/1.43  % (781373)CaDiCaL version: 2.1.3
% 6.46/1.43  % (781373)Termination reason: Instruction limit
% 6.46/1.43  % (781373)Termination phase: Saturation
% 6.46/1.43  % (781373)Time elapsed: 0.053 s
% 6.46/1.43  % (781373)Peak memory usage: 12 MB
% 6.46/1.43  % (781373)Instructions burned: 111 (million)
% 6.46/1.43  % (781376)Refutation not found, incomplete strategy
% 6.46/1.43  % (781376)------------------------------
% 6.46/1.43  % (781376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.43  % (781376)CaDiCaL version: 2.1.3
% 6.46/1.43  % (781376)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.43  % (781376)Time elapsed: 0.005 s
% 6.46/1.43  % (781376)Peak memory usage: 11 MB
% 6.46/1.43  % (781376)Instructions burned: 1 (million)
% 6.46/1.43  % (781376)------------------------------
% 6.46/1.43  % (781376)------------------------------
% 6.46/1.43  % (781382)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.46/1.43  % (781379)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=3269274939:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 6.46/1.43  % (781379)Refutation not found, incomplete strategy
% 6.46/1.43  % (781379)------------------------------
% 6.46/1.43  % (781379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.43  % (781379)CaDiCaL version: 2.1.3
% 6.46/1.43  % (781379)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.43  % (781379)Time elapsed: 0.002 s
% 6.46/1.43  % (781379)Peak memory usage: 11 MB
% 6.46/1.43  % (781379)Instructions burned: 3 (million)
% 6.46/1.43  % (781382)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=100160414:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 6.46/1.43  % (781379)------------------------------
% 6.46/1.43  % (781379)------------------------------
% 6.46/1.43  % (781351)Instruction limit reached! 
% 6.46/1.43  % (781351)------------------------------
% 6.46/1.43  % (781351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.46/1.43  % (781351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.60  % (781351)CaDiCaL version: 2.1.3
% 7.48/1.60  % (781351)Termination reason: Instruction limit
% 7.48/1.60  % (781351)Termination phase: Saturation
% 7.48/1.60  % (781351)Time elapsed: 0.275 s
% 7.48/1.60  % (781351)Peak memory usage: 12 MB
% 7.48/1.60  % (781351)Instructions burned: 373 (million)
% 7.48/1.60  % (781384)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=2517979033:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 7.48/1.60  % (781383)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1359872252:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 7.48/1.60  % (781383)Refutation not found, incomplete strategy
% 7.48/1.60  % (781383)------------------------------
% 7.48/1.60  % (781383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.60  % (781383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.60  % (781383)CaDiCaL version: 2.1.3
% 7.48/1.60  % (781383)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.60  % (781383)Time elapsed: 0.002 s
% 7.48/1.60  % (781383)Peak memory usage: 12 MB
% 7.48/1.60  % (781383)Instructions burned: 2 (million)
% 7.48/1.60  % (781387)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1016832532:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 7.48/1.60  % (781387)Refutation not found, incomplete strategy
% 7.48/1.60  % (781387)------------------------------
% 7.48/1.60  % (781387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.60  % (781387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.60  % (781387)CaDiCaL version: 2.1.3
% 7.48/1.60  % (781387)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.60  % (781387)Time elapsed: 0.001 s
% 7.48/1.60  % (781387)Peak memory usage: 11 MB
% 7.48/1.60  % (781387)------------------------------
% 7.48/1.60  % (781387)------------------------------
% 7.48/1.60  % (781383)------------------------------
% 7.48/1.60  % (781383)------------------------------
% 7.48/1.60  % (781388)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3884109708:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 7.48/1.60  % (781388)Refutation not found, incomplete strategy
% 7.48/1.60  % (781388)------------------------------
% 7.48/1.60  % (781388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.60  % (781388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.60  % (781388)CaDiCaL version: 2.1.3
% 7.48/1.60  % (781388)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.60  % (781388)Time elapsed: 0.001 s
% 7.48/1.60  % (781388)Peak memory usage: 11 MB
% 7.48/1.60  % (781388)------------------------------
% 7.48/1.60  % (781388)------------------------------
% 7.48/1.60  % (781393)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1568767742:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 7.48/1.60  % (781392)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2929606240:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 7.48/1.60  % (781392)Refutation not found, incomplete strategy
% 7.48/1.60  % (781392)------------------------------
% 7.48/1.60  % (781392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.48/1.60  % (781392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/1.60  % (781392)CaDiCaL version: 2.1.3
% 7.48/1.60  % (781392)Termination reason: Refutation not found, incomplete strategy
% 7.48/1.60  % (781392)Time elapsed: 0.001 s
% 7.48/1.60  % (781392)Peak memory usage: 11 MB
% 7.48/1.60  % (781392)Instructions burned: 1 (million)
% 7.48/1.60  % (781392)------------------------------
% 7.48/1.60  % (781392)------------------------------
% 7.48/1.60  % (781395)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=995711016:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 7.48/1.60  % (781398)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1355045384:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/387Mi)
% 7.48/1.60  % (781398)Refutation not found, incomplete strategy
% 7.48/1.60  % (781398)------------------------------
% 8.77/1.92  % (781398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781398)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781398)Termination reason: Refutation not found, incomplete strategy
% 8.77/1.92  % (781398)Time elapsed: 0.001 s
% 8.77/1.92  % (781398)Peak memory usage: 11 MB
% 8.77/1.92  % (781398)Instructions burned: 1 (million)
% 8.77/1.92  % (781398)------------------------------
% 8.77/1.92  % (781398)------------------------------
% 8.77/1.92  % (781401)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=3257037549:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 8.77/1.92  % (781395)Instruction limit reached! 
% 8.77/1.92  % (781395)------------------------------
% 8.77/1.92  % (781395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781395)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781395)Termination reason: Instruction limit
% 8.77/1.92  % (781395)Termination phase: Saturation
% 8.77/1.92  % (781395)Time elapsed: 0.034 s
% 8.77/1.92  % (781395)Peak memory usage: 12 MB
% 8.77/1.92  % (781395)Instructions burned: 75 (million)
% 8.77/1.92  % (781403)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2319837436:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 8.77/1.92  % (781382)Instruction limit reached! 
% 8.77/1.92  % (781382)------------------------------
% 8.77/1.92  % (781382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781382)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781382)Termination reason: Instruction limit
% 8.77/1.92  % (781382)Termination phase: Saturation
% 8.77/1.92  % (781382)Time elapsed: 0.146 s
% 8.77/1.92  % (781382)Peak memory usage: 13 MB
% 8.77/1.92  % (781382)Instructions burned: 282 (million)
% 8.77/1.92  % (781405)lrs+10_1_sil=128000:si=on:random_seed=3608777720:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 8.77/1.92  % (781401)Instruction limit reached! 
% 8.77/1.92  % (781401)------------------------------
% 8.77/1.92  % (781401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781401)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781401)Termination reason: Instruction limit
% 8.77/1.92  % (781401)Termination phase: Saturation
% 8.77/1.92  % (781401)Time elapsed: 0.068 s
% 8.77/1.92  % (781401)Peak memory usage: 12 MB
% 8.77/1.92  % (781401)Instructions burned: 148 (million)
% 8.77/1.92  % (781405)Refutation not found, incomplete strategy
% 8.77/1.92  % (781405)------------------------------
% 8.77/1.92  % (781405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781405)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781405)Termination reason: Refutation not found, incomplete strategy
% 8.77/1.92  % (781405)Time elapsed: 0.001 s
% 8.77/1.92  % (781405)Peak memory usage: 11 MB
% 8.77/1.92  % (781405)------------------------------
% 8.77/1.92  % (781405)------------------------------
% 8.77/1.92  % (781393)Instruction limit reached! 
% 8.77/1.92  % (781393)------------------------------
% 8.77/1.92  % (781393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781393)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781393)Termination reason: Instruction limit
% 8.77/1.92  % (781393)Termination phase: Saturation
% 8.77/1.92  % (781393)Time elapsed: 0.125 s
% 8.77/1.92  % (781393)Peak memory usage: 12 MB
% 8.77/1.92  % (781393)Instructions burned: 152 (million)
% 8.77/1.92  % (781403)Instruction limit reached! 
% 8.77/1.92  % (781403)------------------------------
% 8.77/1.92  % (781403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.92  % (781403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.92  % (781403)CaDiCaL version: 2.1.3
% 8.77/1.92  % (781403)Termination reason: Instruction limit
% 8.77/1.92  % (781403)Termination phase: Saturation
% 8.77/1.92  % (781403)Time elapsed: 0.059 s
% 8.77/1.92  % (781403)Peak memory usage: 12 MB
% 8.77/1.92  % (781403)Instructions burned: 162 (million)
% 11.39/2.13  % (781407)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=3690078083:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 11.39/2.13  % (781408)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=661979350:i=88:s2at=3:nm=2:rtra=on:rawr=on_2988 on theBenchmark for (2988ds/88Mi)
% 11.39/2.13  % (781409)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=424450428:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 11.39/2.13  % (781410)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2076049698:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 11.39/2.13  % (781408)Instruction limit reached! 
% 11.39/2.13  % (781408)------------------------------
% 11.39/2.13  % (781408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.39/2.13  % (781408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.13  % (781408)CaDiCaL version: 2.1.3
% 11.39/2.13  % (781408)Termination reason: Instruction limit
% 11.39/2.13  % (781408)Termination phase: Saturation
% 11.39/2.13  % (781408)Time elapsed: 0.036 s
% 11.39/2.13  % (781408)Peak memory usage: 12 MB
% 11.39/2.13  % (781408)Instructions burned: 88 (million)
% 11.39/2.13  % (781415)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2494382508:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 11.39/2.13  % (781407)Instruction limit reached! 
% 11.39/2.13  % (781407)------------------------------
% 11.39/2.13  % (781407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.39/2.13  % (781407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.13  % (781407)CaDiCaL version: 2.1.3
% 11.39/2.13  % (781407)Termination reason: Instruction limit
% 11.39/2.13  % (781407)Termination phase: Saturation
% 11.39/2.13  % (781407)Time elapsed: 0.064 s
% 11.39/2.13  % (781407)Peak memory usage: 12 MB
% 11.39/2.13  % (781407)Instructions burned: 137 (million)
% 11.39/2.13  % (781417)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2576635579:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 11.39/2.13  % (781409)Instruction limit reached! 
% 11.39/2.13  % (781409)------------------------------
% 11.39/2.13  % (781409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.39/2.13  % (781409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.13  % (781409)CaDiCaL version: 2.1.3
% 11.39/2.13  % (781409)Termination reason: Instruction limit
% 11.39/2.13  % (781409)Termination phase: Saturation
% 11.39/2.13  % (781409)Time elapsed: 0.094 s
% 11.39/2.13  % (781409)Peak memory usage: 12 MB
% 11.39/2.13  % (781409)Instructions burned: 94 (million)
% 11.39/2.13  % (781415)Instruction limit reached! 
% 11.39/2.13  % (781415)------------------------------
% 11.39/2.13  % (781415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.39/2.13  % (781415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.13  % (781415)CaDiCaL version: 2.1.3
% 11.39/2.13  % (781415)Termination reason: Instruction limit
% 11.39/2.13  % (781415)Termination phase: Saturation
% 11.39/2.13  % (781415)Time elapsed: 0.096 s
% 11.39/2.13  % (781415)Peak memory usage: 12 MB
% 11.39/2.13  % (781415)Instructions burned: 240 (million)
% 11.39/2.13  % (781419)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.39/2.13  % (781419)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=3841339398:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2986 on theBenchmark for (2986ds/391Mi)
% 11.39/2.13  % (781419)Refutation not found, incomplete strategy
% 11.39/2.13  % (781419)------------------------------
% 11.39/2.13  % (781419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.39/2.13  % (781419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.39/2.13  % (781419)CaDiCaL version: 2.1.3
% 11.39/2.13  % (781419)Termination reason: Refutation not found, incomplete strategy
% 11.39/2.13  % (781419)Time elapsed: 0.002 s
% 12.12/2.26  % (781419)Peak memory usage: 11 MB
% 12.12/2.26  % (781419)Instructions burned: 1 (million)
% 12.12/2.26  % (781419)------------------------------
% 12.12/2.26  % (781419)------------------------------
% 12.12/2.26  % (781420)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=4154973983:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 12.12/2.26  % (781422)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=53242660:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/314Mi)
% 12.12/2.26  % (781422)Refutation not found, incomplete strategy
% 12.12/2.26  % (781422)------------------------------
% 12.12/2.26  % (781422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.12/2.26  % (781422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.26  % (781422)CaDiCaL version: 2.1.3
% 12.12/2.26  % (781422)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.26  % (781422)Time elapsed: 0.005 s
% 12.12/2.26  % (781422)Peak memory usage: 11 MB
% 12.12/2.26  % (781422)------------------------------
% 12.12/2.26  % (781422)------------------------------
% 12.12/2.26  % (781368)Instruction limit reached! 
% 12.12/2.26  % (781368)------------------------------
% 12.12/2.26  % (781368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.12/2.26  % (781368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.26  % (781368)CaDiCaL version: 2.1.3
% 12.12/2.26  % (781368)Termination reason: Instruction limit
% 12.12/2.26  % (781368)Termination phase: Saturation
% 12.12/2.26  % (781368)Time elapsed: 0.546 s
% 12.12/2.26  % (781368)Peak memory usage: 13 MB
% 12.12/2.26  % (781368)Instructions burned: 1442 (million)
% 12.12/2.26  % (781425)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=4034126661:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 12.12/2.26  % (781426)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=3897593927: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_2985 on theBenchmark for (2985ds/2470Mi)
% 12.12/2.26  % (781420)Instruction limit reached! 
% 12.12/2.26  % (781420)------------------------------
% 12.12/2.26  % (781420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.12/2.26  % (781420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.26  % (781420)CaDiCaL version: 2.1.3
% 12.12/2.26  % (781420)Termination reason: Instruction limit
% 12.12/2.26  % (781420)Termination phase: Saturation
% 12.12/2.26  % (781420)Time elapsed: 0.217 s
% 12.12/2.26  % (781420)Peak memory usage: 12 MB
% 12.12/2.26  % (781420)Instructions burned: 357 (million)
% 12.12/2.26  % (781429)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1292522900:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2984 on theBenchmark for (2984ds/673Mi)
% 12.12/2.26  % (781425)Instruction limit reached! 
% 12.12/2.26  % (781425)------------------------------
% 12.12/2.26  % (781425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.12/2.26  % (781425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.26  % (781425)CaDiCaL version: 2.1.3
% 12.12/2.26  % (781425)Termination reason: Instruction limit
% 12.12/2.26  % (781425)Termination phase: Saturation
% 12.12/2.26  % (781425)Time elapsed: 0.176 s
% 12.12/2.26  % (781425)Peak memory usage: 12 MB
% 12.12/2.26  % (781425)Instructions burned: 251 (million)
% 12.12/2.26  % (781431)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2577853284:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 12.12/2.26  % (781417)Instruction limit reached! 
% 12.12/2.26  % (781417)------------------------------
% 12.12/2.26  % (781417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.12/2.26  % (781417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.26  % (781417)CaDiCaL version: 2.1.3
% 12.12/2.26  % (781417)Termination reason: Instruction limit
% 12.12/2.26  % (781417)Termination phase: Saturation
% 12.12/2.26  % (781417)Time elapsed: 0.377 s
% 12.12/2.26  % (781417)Peak memory usage: 13 MB
% 12.12/2.26  % (781417)Instructions burned: 806 (million)
% 12.12/2.26  % (781433)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=46554523:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 13.16/2.45  % (781384)Instruction limit reached! 
% 13.16/2.45  % (781384)------------------------------
% 13.16/2.45  % (781384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.16/2.45  % (781384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.45  % (781384)CaDiCaL version: 2.1.3
% 13.16/2.45  % (781384)Termination reason: Instruction limit
% 13.16/2.45  % (781384)Termination phase: Saturation
% 13.16/2.45  % (781384)Time elapsed: 0.669 s
% 13.16/2.45  % (781384)Peak memory usage: 14 MB
% 13.16/2.45  % (781384)Instructions burned: 866 (million)
% 13.16/2.45  % (781431)Instruction limit reached! 
% 13.16/2.45  % (781431)------------------------------
% 13.16/2.45  % (781431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.16/2.45  % (781431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.45  % (781431)CaDiCaL version: 2.1.3
% 13.16/2.45  % (781431)Termination reason: Instruction limit
% 13.16/2.45  % (781431)Termination phase: Saturation
% 13.16/2.45  % (781431)Time elapsed: 0.067 s
% 13.16/2.45  % (781431)Peak memory usage: 12 MB
% 13.16/2.45  % (781431)Instructions burned: 118 (million)
% 13.16/2.45  % (781436)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 13.16/2.45  % (781435)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=2708124498: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_2982 on theBenchmark for (2982ds/30Mi)
% 13.16/2.45  % (781436)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2291714132:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 13.16/2.45  % (781436)Instruction limit reached! 
% 13.16/2.45  % (781436)------------------------------
% 13.16/2.45  % (781436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.16/2.45  % (781436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.45  % (781436)CaDiCaL version: 2.1.3
% 13.16/2.45  % (781436)Termination reason: Instruction limit
% 13.16/2.45  % (781436)Termination phase: Saturation
% 13.16/2.45  % (781436)Time elapsed: 0.021 s
% 13.16/2.45  % (781436)Peak memory usage: 12 MB
% 13.16/2.45  % (781436)Instructions burned: 41 (million)
% 13.16/2.45  % (781435)Instruction limit reached! 
% 13.16/2.45  % (781435)------------------------------
% 13.16/2.45  % (781435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.16/2.45  % (781435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.45  % (781435)CaDiCaL version: 2.1.3
% 13.16/2.45  % (781435)Termination reason: Instruction limit
% 13.16/2.45  % (781435)Termination phase: Saturation
% 13.16/2.45  % (781435)Time elapsed: 0.034 s
% 13.16/2.45  % (781435)Peak memory usage: 12 MB
% 13.16/2.45  % (781435)Instructions burned: 31 (million)
% 13.16/2.45  % (781439)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=110705857:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 13.16/2.45  % (781440)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2511920371:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 13.16/2.45  % (781433)Instruction limit reached! 
% 13.16/2.45  % (781433)------------------------------
% 13.16/2.45  % (781433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.16/2.45  % (781433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.16/2.45  % (781433)CaDiCaL version: 2.1.3
% 13.16/2.45  % (781433)Termination reason: Instruction limit
% 13.16/2.45  % (781433)Termination phase: Saturation
% 13.16/2.45  % (781433)Time elapsed: 0.185 s
% 13.16/2.45  % (781433)Peak memory usage: 12 MB
% 13.16/2.45  % (781433)Instructions burned: 270 (million)
% 13.16/2.45  % (781443)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
% 13.16/2.45  % (781443)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=872270623:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 13.16/2.45  % (781440)Instruction limit reached! 
% 13.16/2.45  % (781440)------------------------------
% 13.86/2.57  % (781440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781440)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781440)Termination reason: Instruction limit
% 13.86/2.57  % (781440)Termination phase: Saturation
% 13.86/2.57  % (781440)Time elapsed: 0.076 s
% 13.86/2.57  % (781440)Peak memory usage: 12 MB
% 13.86/2.57  % (781440)Instructions burned: 159 (million)
% 13.86/2.57  % (781445)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3415100289:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 13.86/2.57  % (781445)Refutation not found, incomplete strategy
% 13.86/2.57  % (781445)------------------------------
% 13.86/2.57  % (781445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781445)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781445)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.57  % (781445)Time elapsed: 0.001 s
% 13.86/2.57  % (781445)Peak memory usage: 11 MB
% 13.86/2.57  % (781445)------------------------------
% 13.86/2.57  % (781445)------------------------------
% 13.86/2.57  % (781447)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=1116716731:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/160Mi)
% 13.86/2.57  % (781447)Refutation not found, incomplete strategy
% 13.86/2.57  % (781447)------------------------------
% 13.86/2.57  % (781447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781447)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781447)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.57  % (781447)Time elapsed: 0.001 s
% 13.86/2.57  % (781447)Peak memory usage: 11 MB
% 13.86/2.57  % (781447)Instructions burned: 1 (million)
% 13.86/2.57  % (781447)------------------------------
% 13.86/2.57  % (781447)------------------------------
% 13.86/2.57  % (781449)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1211534627:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/763Mi)
% 13.86/2.57  % (781443)Instruction limit reached! 
% 13.86/2.57  % (781443)------------------------------
% 13.86/2.57  % (781443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781443)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781443)Termination reason: Instruction limit
% 13.86/2.57  % (781443)Termination phase: Saturation
% 13.86/2.57  % (781443)Time elapsed: 0.100 s
% 13.86/2.57  % (781443)Peak memory usage: 12 MB
% 13.86/2.57  % (781443)Instructions burned: 253 (million)
% 13.86/2.57  % (781451)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.86/2.57  % (781451)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=2926614349:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 13.86/2.57  % (781451)Refutation not found, incomplete strategy
% 13.86/2.57  % (781451)------------------------------
% 13.86/2.57  % (781451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781451)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781451)Termination reason: Refutation not found, incomplete strategy
% 13.86/2.57  % (781451)Time elapsed: 0.001 s
% 13.86/2.57  % (781451)Peak memory usage: 11 MB
% 13.86/2.57  % (781451)------------------------------
% 13.86/2.57  % (781451)------------------------------
% 13.86/2.57  % (781429)Instruction limit reached! 
% 13.86/2.57  % (781429)------------------------------
% 13.86/2.57  % (781429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.57  % (781429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.57  % (781429)CaDiCaL version: 2.1.3
% 13.86/2.57  % (781429)Termination reason: Instruction limit
% 13.86/2.57  % (781429)Termination phase: Saturation
% 13.86/2.57  % (781429)Time elapsed: 0.402 s
% 13.86/2.57  % (781429)Peak memory usage: 13 MB
% 14.69/2.65  % (781429)Instructions burned: 674 (million)
% 14.69/2.65  % (781453)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2138134621:s2a=on:i=386:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/386Mi)
% 14.69/2.65  % (781410)Instruction limit reached! 
% 14.69/2.65  % (781410)------------------------------
% 14.69/2.65  % (781410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.65  % (781410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.65  % (781410)CaDiCaL version: 2.1.3
% 14.69/2.65  % (781410)Termination reason: Instruction limit
% 14.69/2.65  % (781410)Termination phase: Saturation
% 14.69/2.65  % (781410)Time elapsed: 0.821 s
% 14.69/2.65  % (781410)Peak memory usage: 13 MB
% 14.69/2.65  % (781410)Instructions burned: 2187 (million)
% 14.69/2.65  % (781454)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=997164508:i=300:piset=and:nm=32:rtra=on_2979 on theBenchmark for (2979ds/300Mi)
% 14.69/2.65  % (781439)Instruction limit reached! 
% 14.69/2.65  % (781439)------------------------------
% 14.69/2.65  % (781439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.65  % (781439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.65  % (781439)CaDiCaL version: 2.1.3
% 14.69/2.65  % (781439)Termination reason: Instruction limit
% 14.69/2.65  % (781439)Termination phase: Saturation
% 14.69/2.65  % (781439)Time elapsed: 0.262 s
% 14.69/2.65  % (781439)Peak memory usage: 13 MB
% 14.69/2.65  % (781439)Instructions burned: 366 (million)
% 14.69/2.65  % (781457)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=93458574:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/567Mi)
% 14.69/2.65  % (781457)Refutation not found, incomplete strategy
% 14.69/2.65  % (781457)------------------------------
% 14.69/2.65  % (781457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.65  % (781457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.65  % (781457)CaDiCaL version: 2.1.3
% 14.69/2.65  % (781457)Termination reason: Refutation not found, incomplete strategy
% 14.69/2.65  % (781457)Time elapsed: 0.001 s
% 14.69/2.65  % (781457)Peak memory usage: 11 MB
% 14.69/2.65  % (781457)Instructions burned: 1 (million)
% 14.69/2.65  % (781457)------------------------------
% 14.69/2.65  % (781457)------------------------------
% 14.69/2.65  % (781459)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3329926321:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2979 on theBenchmark for (2979ds/379Mi)
% 14.69/2.65  % (781459)Refutation not found, incomplete strategy
% 14.69/2.65  % (781459)------------------------------
% 14.69/2.65  % (781459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.65  % (781459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.65  % (781459)CaDiCaL version: 2.1.3
% 14.69/2.65  % (781459)Termination reason: Refutation not found, incomplete strategy
% 14.69/2.65  % (781459)Time elapsed: 0.001 s
% 14.69/2.65  % (781459)Peak memory usage: 11 MB
% 14.69/2.65  % (781459)------------------------------
% 14.69/2.65  % (781459)------------------------------
% 14.69/2.65  % (781463)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3767066179:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 14.69/2.65  % (781463)Refutation not found, incomplete strategy
% 14.69/2.65  % (781463)------------------------------
% 14.69/2.65  % (781463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.69/2.65  % (781463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.65  % (781463)CaDiCaL version: 2.1.3
% 14.69/2.65  % (781463)Termination reason: Refutation not found, incomplete strategy
% 14.69/2.65  % (781463)Time elapsed: 0.001 s
% 14.69/2.65  % (781463)Peak memory usage: 12 MB
% 14.69/2.65  % (781463)Instructions burned: 1 (million)
% 14.69/2.65  % (781463)------------------------------
% 14.69/2.65  % (781463)------------------------------
% 14.69/2.65  % (781461)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3949535559:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 14.69/2.65  % (781465)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=36386300:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 14.69/2.65  % (781449)Instruction limit reached! 
% 14.69/2.65  % (781449)------------------------------
% 14.69/2.65  % (781449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781449)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781449)Termination reason: Instruction limit
% 15.44/2.72  % (781449)Termination phase: Saturation
% 15.44/2.72  % (781449)Time elapsed: 0.254 s
% 15.44/2.72  % (781449)Peak memory usage: 14 MB
% 15.44/2.72  % (781449)Instructions burned: 765 (million)
% 15.44/2.72  % (781468)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=538324473:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2977 on theBenchmark for (2977ds/71Mi)
% 15.44/2.72  % (781454)Instruction limit reached! 
% 15.44/2.72  % (781454)------------------------------
% 15.44/2.72  % (781454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781454)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781454)Termination reason: Instruction limit
% 15.44/2.72  % (781454)Termination phase: Saturation
% 15.44/2.72  % (781454)Time elapsed: 0.192 s
% 15.44/2.72  % (781454)Peak memory usage: 12 MB
% 15.44/2.72  % (781454)Instructions burned: 300 (million)
% 15.44/2.72  % (781470)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2311038642:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/302Mi)
% 15.44/2.72  % (781470)Refutation not found, incomplete strategy
% 15.44/2.72  % (781470)------------------------------
% 15.44/2.72  % (781470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781470)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781470)Termination reason: Refutation not found, incomplete strategy
% 15.44/2.72  % (781470)Time elapsed: 0.001 s
% 15.44/2.72  % (781470)Peak memory usage: 11 MB
% 15.44/2.72  % (781470)------------------------------
% 15.44/2.72  % (781470)------------------------------
% 15.44/2.72  % (781468)Instruction limit reached! 
% 15.44/2.72  % (781468)------------------------------
% 15.44/2.72  % (781468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781468)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781468)Termination reason: Instruction limit
% 15.44/2.72  % (781468)Termination phase: Saturation
% 15.44/2.72  % (781468)Time elapsed: 0.060 s
% 15.44/2.72  % (781468)Peak memory usage: 12 MB
% 15.44/2.72  % (781468)Instructions burned: 73 (million)
% 15.44/2.72  % (781453)Instruction limit reached! 
% 15.44/2.72  % (781453)------------------------------
% 15.44/2.72  % (781453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781453)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781453)Termination reason: Instruction limit
% 15.44/2.72  % (781453)Termination phase: Saturation
% 15.44/2.72  % (781453)Time elapsed: 0.260 s
% 15.44/2.72  % (781453)Peak memory usage: 12 MB
% 15.44/2.72  % (781453)Instructions burned: 386 (million)
% 15.44/2.72  % (781472)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2604771285:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 15.44/2.72  % (781472)Refutation not found, incomplete strategy
% 15.44/2.72  % (781472)------------------------------
% 15.44/2.72  % (781472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.44/2.72  % (781472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.44/2.72  % (781472)CaDiCaL version: 2.1.3
% 15.44/2.72  % (781472)Termination reason: Refutation not found, incomplete strategy
% 15.44/2.72  % (781472)Time elapsed: 0.001 s
% 15.44/2.72  % (781472)Peak memory usage: 12 MB
% 15.44/2.72  % (781472)------------------------------
% 15.44/2.72  % (781472)------------------------------
% 15.44/2.72  % (781473)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
% 15.44/2.72  % (781473)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 15.44/2.72  % (781473)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=92253749:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 15.63/2.85  % (781476)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1606438680:i=289:rtra=on_2976 on theBenchmark for (2976ds/289Mi)
% 15.63/2.85  % (781474)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=425189305:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 15.63/2.85  % (781476)Refutation not found, incomplete strategy
% 15.63/2.85  % (781476)------------------------------
% 15.63/2.85  % (781476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781476)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781476)Termination reason: Refutation not found, incomplete strategy
% 15.63/2.85  % (781476)Time elapsed: 0.001 s
% 15.63/2.85  % (781476)Peak memory usage: 11 MB
% 15.63/2.85  % (781476)Instructions burned: 1 (million)
% 15.63/2.85  % (781476)------------------------------
% 15.63/2.85  % (781476)------------------------------
% 15.63/2.85  % (781479)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=1374633790:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2976 on theBenchmark for (2976ds/493Mi)
% 15.63/2.85  % (781465)Instruction limit reached! 
% 15.63/2.85  % (781465)------------------------------
% 15.63/2.85  % (781465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781465)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781465)Termination reason: Instruction limit
% 15.63/2.85  % (781465)Termination phase: Saturation
% 15.63/2.85  % (781465)Time elapsed: 0.222 s
% 15.63/2.85  % (781465)Peak memory usage: 14 MB
% 15.63/2.85  % (781465)Instructions burned: 445 (million)
% 15.63/2.85  % (781482)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=1915532799:cond=on:i=34:hud=10:nm=10:rtra=on_2976 on theBenchmark for (2976ds/34Mi)
% 15.63/2.85  % (781461)Instruction limit reached! 
% 15.63/2.85  % (781461)------------------------------
% 15.63/2.85  % (781461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781461)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781461)Termination reason: Instruction limit
% 15.63/2.85  % (781461)Termination phase: Saturation
% 15.63/2.85  % (781461)Time elapsed: 0.267 s
% 15.63/2.85  % (781461)Peak memory usage: 13 MB
% 15.63/2.85  % (781461)Instructions burned: 430 (million)
% 15.63/2.85  % (781482)Instruction limit reached! 
% 15.63/2.85  % (781482)------------------------------
% 15.63/2.85  % (781482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781482)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781482)Termination reason: Instruction limit
% 15.63/2.85  % (781482)Termination phase: Saturation
% 15.63/2.85  % (781482)Time elapsed: 0.018 s
% 15.63/2.85  % (781482)Peak memory usage: 12 MB
% 15.63/2.85  % (781482)Instructions burned: 34 (million)
% 15.63/2.85  % (781474)Instruction limit reached! 
% 15.63/2.85  % (781474)------------------------------
% 15.63/2.85  % (781474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781474)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781474)Termination reason: Instruction limit
% 15.63/2.85  % (781474)Termination phase: Saturation
% 15.63/2.85  % (781474)Time elapsed: 0.067 s
% 15.63/2.85  % (781474)Peak memory usage: 12 MB
% 15.63/2.85  % (781474)Instructions burned: 77 (million)
% 15.63/2.85  % (781473)Instruction limit reached! 
% 15.63/2.85  % (781473)------------------------------
% 15.63/2.85  % (781473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.85  % (781473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.85  % (781473)CaDiCaL version: 2.1.3
% 15.63/2.85  % (781473)Termination reason: Instruction limit
% 15.63/2.85  % (781473)Termination phase: Saturation
% 15.63/2.85  % (781473)Time elapsed: 0.079 s
% 15.63/2.85  % (781473)Peak memory usage: 12 MB
% 15.63/2.85  % (781473)Instructions burned: 102 (million)
% 15.63/2.85  % (781484)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.02/2.97  % (781484)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=3963218260:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2976 on theBenchmark for (2976ds/372Mi)
% 16.02/2.97  % (781360)Instruction limit reached! 
% 16.02/2.97  % (781360)------------------------------
% 16.02/2.97  % (781360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.97  % (781360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.97  % (781360)CaDiCaL version: 2.1.3
% 16.02/2.97  % (781360)Termination reason: Instruction limit
% 16.02/2.97  % (781360)Termination phase: Saturation
% 16.02/2.97  % (781360)Time elapsed: 1.653 s
% 16.02/2.97  % (781360)Peak memory usage: 15 MB
% 16.02/2.97  % (781360)Instructions burned: 9844 (million)
% 16.02/2.97  % (781484)Refutation not found, incomplete strategy
% 16.02/2.97  % (781484)------------------------------
% 16.02/2.97  % (781484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.97  % (781484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.97  % (781484)CaDiCaL version: 2.1.3
% 16.02/2.97  % (781484)Termination reason: Refutation not found, incomplete strategy
% 16.02/2.97  % (781484)Time elapsed: 0.002 s
% 16.02/2.97  % (781484)Peak memory usage: 11 MB
% 16.02/2.97  % (781484)Instructions burned: 2 (million)
% 16.02/2.97  % (781486)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1885960126:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2976 on theBenchmark for (2976ds/670Mi)
% 16.02/2.97  % (781484)------------------------------
% 16.02/2.97  % (781484)------------------------------
% 16.02/2.97  % (781490)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=2295600727:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/693Mi)
% 16.02/2.97  % (781488)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=1095029301:i=857:add=off:kws=frequency:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/857Mi)
% 16.02/2.97  % (781487)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=406572345:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/647Mi)
% 16.02/2.97  % (781487)Refutation not found, incomplete strategy
% 16.02/2.97  % (781487)------------------------------
% 16.02/2.97  % (781487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.97  % (781487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.97  % (781487)CaDiCaL version: 2.1.3
% 16.02/2.97  % (781487)Termination reason: Refutation not found, incomplete strategy
% 16.02/2.97  % (781487)Time elapsed: 0.001 s
% 16.02/2.97  % (781487)Peak memory usage: 11 MB
% 16.02/2.97  % (781487)------------------------------
% 16.02/2.97  % (781487)------------------------------
% 16.02/2.97  % (781493)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1120562240:i=285:hud=10:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/285Mi)
% 16.02/2.97  % (781493)Refutation not found, incomplete strategy
% 16.02/2.97  % (781493)------------------------------
% 16.02/2.97  % (781493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.02/2.97  % (781493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.02/2.97  % (781493)CaDiCaL version: 2.1.3
% 16.02/2.97  % (781493)Termination reason: Refutation not found, incomplete strategy
% 16.02/2.97  % (781493)Time elapsed: 0.001 s
% 16.02/2.97  % (781493)Peak memory usage: 11 MB
% 16.02/2.97  % (781493)Instructions burned: 1 (million)
% 16.02/2.97  % (781493)------------------------------
% 16.02/2.97  % (781493)------------------------------
% 16.02/2.97  % (781497)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.02/2.97  % (781497)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=196860119:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2975 on theBenchmark for (2975ds/52Mi)
% 16.02/2.97  % (781497)Instruction limit reached! 
% 16.02/2.97  % (781497)------------------------------
% 18.52/3.19  % (781497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781497)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781497)Termination reason: Instruction limit
% 18.52/3.19  % (781497)Termination phase: Saturation
% 18.52/3.19  % (781497)Time elapsed: 0.021 s
% 18.52/3.19  % (781497)Peak memory usage: 12 MB
% 18.52/3.19  % (781497)Instructions burned: 55 (million)
% 18.52/3.19  % (781499)dis+10_1_si=on:random_seed=3814758675:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2975 on theBenchmark for (2975ds/407Mi)
% 18.52/3.19  % (781499)Refutation not found, incomplete strategy
% 18.52/3.19  % (781499)------------------------------
% 18.52/3.19  % (781499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781499)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781499)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.19  % (781499)Time elapsed: 0.001 s
% 18.52/3.19  % (781499)Peak memory usage: 11 MB
% 18.52/3.19  % (781499)------------------------------
% 18.52/3.19  % (781499)------------------------------
% 18.52/3.19  % (781503)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=187606275:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/2240Mi)
% 18.52/3.19  % (781506)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2532422893:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/336Mi)
% 18.52/3.19  % (781506)Refutation not found, incomplete strategy
% 18.52/3.19  % (781506)------------------------------
% 18.52/3.19  % (781506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781506)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781506)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.19  % (781506)Time elapsed: 0.0000 s
% 18.52/3.19  % (781506)Peak memory usage: 11 MB
% 18.52/3.19  % (781506)------------------------------
% 18.52/3.19  % (781506)------------------------------
% 18.52/3.19  % (781509)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4016641552:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2974 on theBenchmark for (2974ds/1142Mi)
% 18.52/3.19  % (781479)Instruction limit reached! 
% 18.52/3.19  % (781479)------------------------------
% 18.52/3.19  % (781479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781479)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781479)Termination reason: Instruction limit
% 18.52/3.19  % (781479)Termination phase: Saturation
% 18.52/3.19  % (781479)Time elapsed: 0.219 s
% 18.52/3.19  % (781479)Peak memory usage: 13 MB
% 18.52/3.19  % (781479)Instructions burned: 495 (million)
% 18.52/3.19  % (781511)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2279156147:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/376Mi)
% 18.52/3.19  % (781511)Refutation not found, incomplete strategy
% 18.52/3.19  % (781511)------------------------------
% 18.52/3.19  % (781511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781511)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781511)Termination reason: Refutation not found, incomplete strategy
% 18.52/3.19  % (781511)Time elapsed: 0.001 s
% 18.52/3.19  % (781511)Peak memory usage: 11 MB
% 18.52/3.19  % (781511)------------------------------
% 18.52/3.19  % (781511)------------------------------
% 18.52/3.19  % (781426)Instruction limit reached! 
% 18.52/3.19  % (781426)------------------------------
% 18.52/3.19  % (781426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.52/3.19  % (781426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.19  % (781426)CaDiCaL version: 2.1.3
% 18.52/3.19  % (781426)Termination reason: Instruction limit
% 18.52/3.19  % (781426)Termination phase: Saturation
% 18.52/3.19  % (781426)Time elapsed: 1.150 s
% 18.52/3.19  % (781426)Peak memory usage: 16 MB
% 18.52/3.19  % (781426)Instructions burned: 2471 (million)
% 18.52/3.19  % (781513)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3854288317:i=766:bd=all:rtra=on_2974 on theBenchmark for (2974ds/766Mi)
% 19.54/3.32  % (781513)Refutation not found, incomplete strategy
% 19.54/3.32  % (781513)------------------------------
% 19.54/3.32  % (781513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.32  % (781513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.32  % (781513)CaDiCaL version: 2.1.3
% 19.54/3.32  % (781513)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.32  % (781513)Time elapsed: 0.001 s
% 19.54/3.32  % (781513)Peak memory usage: 12 MB
% 19.54/3.32  % (781513)Instructions burned: 1 (million)
% 19.54/3.32  % (781513)------------------------------
% 19.54/3.32  % (781513)------------------------------
% 19.54/3.32  % (781515)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 19.54/3.32  % (781516)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=670639608:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2973 on theBenchmark for (2973ds/6359Mi)
% 19.54/3.32  % (781515)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=297594400: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_2973 on theBenchmark for (2973ds/959Mi)
% 19.54/3.32  % (781515)Refutation not found, incomplete strategy
% 19.54/3.32  % (781515)------------------------------
% 19.54/3.32  % (781515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.32  % (781515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.32  % (781515)CaDiCaL version: 2.1.3
% 19.54/3.32  % (781515)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.32  % (781515)Time elapsed: 0.0000 s
% 19.54/3.32  % (781515)Peak memory usage: 12 MB
% 19.54/3.32  % (781515)------------------------------
% 19.54/3.32  % (781515)------------------------------
% 19.54/3.32  % (781519)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2603080796:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2973 on theBenchmark for (2973ds/35Mi)
% 19.54/3.32  % (781519)Refutation not found, incomplete strategy
% 19.54/3.32  % (781519)------------------------------
% 19.54/3.32  % (781519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.32  % (781519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.32  % (781519)CaDiCaL version: 2.1.3
% 19.54/3.32  % (781519)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.32  % (781519)Time elapsed: 0.0000 s
% 19.54/3.32  % (781519)Peak memory usage: 11 MB
% 19.54/3.32  % (781519)------------------------------
% 19.54/3.32  % (781519)------------------------------
% 19.54/3.32  % (781521)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3569437417:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/53Mi)
% 19.54/3.32  % (781521)Instruction limit reached! 
% 19.54/3.32  % (781521)------------------------------
% 19.54/3.32  % (781521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.32  % (781521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.32  % (781521)CaDiCaL version: 2.1.3
% 19.54/3.32  % (781521)Termination reason: Instruction limit
% 19.54/3.32  % (781521)Termination phase: Saturation
% 19.54/3.32  % (781521)Time elapsed: 0.029 s
% 19.54/3.32  % (781521)Peak memory usage: 12 MB
% 19.54/3.32  % (781521)Instructions burned: 53 (million)
% 19.54/3.32  % (781490)Instruction limit reached! 
% 19.54/3.32  % (781490)------------------------------
% 19.54/3.32  % (781490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.32  % (781490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.32  % (781490)CaDiCaL version: 2.1.3
% 19.54/3.32  % (781490)Termination reason: Instruction limit
% 19.54/3.32  % (781490)Termination phase: Saturation
% 19.54/3.32  % (781490)Time elapsed: 0.286 s
% 19.54/3.32  % (781490)Peak memory usage: 12 MB
% 19.54/3.32  % (781490)Instructions burned: 695 (million)
% 19.54/3.32  % (781523)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=626332805:s2a=on:i=876:s2at=6:nm=2:rtra=on_2973 on theBenchmark for (2973ds/876Mi)
% 19.54/3.32  % (781524)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2050398383:i=57:ep=R:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/57Mi)
% 20.22/3.40  % (781488)Instruction limit reached! 
% 20.22/3.40  % (781488)------------------------------
% 20.22/3.40  % (781488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781488)CaDiCaL version: 2.1.3
% 20.22/3.40  % (781488)Termination reason: Instruction limit
% 20.22/3.40  % (781488)Termination phase: Saturation
% 20.22/3.40  % (781488)Time elapsed: 0.312 s
% 20.22/3.40  % (781488)Peak memory usage: 12 MB
% 20.22/3.40  % (781488)Instructions burned: 858 (million)
% 20.22/3.40  % (781524)Instruction limit reached! 
% 20.22/3.40  % (781524)------------------------------
% 20.22/3.40  % (781524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781524)CaDiCaL version: 2.1.3
% 20.22/3.40  % (781524)Termination reason: Instruction limit
% 20.22/3.40  % (781524)Termination phase: Saturation
% 20.22/3.40  % (781524)Time elapsed: 0.025 s
% 20.22/3.40  % (781524)Peak memory usage: 12 MB
% 20.22/3.40  % (781524)Instructions burned: 58 (million)
% 20.22/3.40  % (781527)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.22/3.40  % (781527)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1037386566:i=306:bd=all:rtra=on_2972 on theBenchmark for (2972ds/306Mi)
% 20.22/3.40  % (781527)Refutation not found, incomplete strategy
% 20.22/3.40  % (781527)------------------------------
% 20.22/3.40  % (781527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781527)CaDiCaL version: 2.1.3
% 20.22/3.40  % (781527)Termination reason: Refutation not found, incomplete strategy
% 20.22/3.40  % (781527)Time elapsed: 0.001 s
% 20.22/3.40  % (781527)Peak memory usage: 11 MB
% 20.22/3.40  % (781527)Instructions burned: 1 (million)
% 20.22/3.40  % (781527)------------------------------
% 20.22/3.40  % (781527)------------------------------
% 20.22/3.40  % (781528)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=534270878:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/262Mi)
% 20.22/3.40  % (781528)Refutation not found, incomplete strategy
% 20.22/3.40  % (781528)------------------------------
% 20.22/3.40  % (781528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781528)CaDiCaL version: 2.1.3
% 20.22/3.40  % (781528)Termination reason: Refutation not found, incomplete strategy
% 20.22/3.40  % (781528)Time elapsed: 0.001 s
% 20.22/3.40  % (781528)Peak memory usage: 11 MB
% 20.22/3.40  % (781528)------------------------------
% 20.22/3.40  % (781528)------------------------------
% 20.22/3.40  % (781530)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.22/3.40  % (781530)ott+1002_16_sil=128000:si=on:random_seed=348229590:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/409Mi)
% 20.22/3.40  % (781532)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1240786036:s2a=on:i=381:rtra=on_2972 on theBenchmark for (2972ds/381Mi)
% 20.22/3.40  % (781486)Instruction limit reached! 
% 20.22/3.40  % (781486)------------------------------
% 20.22/3.40  % (781486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781486)CaDiCaL version: 2.1.3
% 20.22/3.40  % (781486)Termination reason: Instruction limit
% 20.22/3.40  % (781486)Termination phase: Saturation
% 20.22/3.40  % (781486)Time elapsed: 0.461 s
% 20.22/3.40  % (781486)Peak memory usage: 12 MB
% 20.22/3.40  % (781486)Instructions burned: 670 (million)
% 20.22/3.40  % (781535)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=257407710:cond=on:i=324:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/324Mi)
% 20.22/3.40  % (781530)Instruction limit reached! 
% 20.22/3.40  % (781530)------------------------------
% 20.22/3.40  % (781530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.40  % (781530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.40  % (781530)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781530)Termination reason: Instruction limit
% 21.26/3.60  % (781530)Termination phase: Saturation
% 21.26/3.60  % (781530)Time elapsed: 0.160 s
% 21.26/3.60  % (781530)Peak memory usage: 13 MB
% 21.26/3.60  % (781530)Instructions burned: 409 (million)
% 21.26/3.60  % (781537)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=795188596:i=240:kws=inv_precedence:rtra=on_2970 on theBenchmark for (2970ds/240Mi)
% 21.26/3.60  % (781537)Refutation not found, incomplete strategy
% 21.26/3.60  % (781537)------------------------------
% 21.26/3.60  % (781537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.60  % (781537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.60  % (781537)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781537)Termination reason: Refutation not found, incomplete strategy
% 21.26/3.60  % (781537)Time elapsed: 0.001 s
% 21.26/3.60  % (781537)Peak memory usage: 11 MB
% 21.26/3.60  % (781537)Instructions burned: 1 (million)
% 21.26/3.60  % (781537)------------------------------
% 21.26/3.60  % (781537)------------------------------
% 21.26/3.60  % (781539)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.26/3.60  % (781539)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2219152481:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/124Mi)
% 21.26/3.60  % (781532)Instruction limit reached! 
% 21.26/3.60  % (781532)------------------------------
% 21.26/3.60  % (781532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.60  % (781532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.60  % (781532)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781532)Termination reason: Instruction limit
% 21.26/3.60  % (781532)Termination phase: Saturation
% 21.26/3.60  % (781532)Time elapsed: 0.207 s
% 21.26/3.60  % (781532)Peak memory usage: 12 MB
% 21.26/3.60  % (781532)Instructions burned: 383 (million)
% 21.26/3.60  % (781541)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2703802190:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/223Mi)
% 21.26/3.60  % (781509)Instruction limit reached! 
% 21.26/3.60  % (781509)------------------------------
% 21.26/3.60  % (781509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.60  % (781509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.60  % (781509)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781509)Termination reason: Instruction limit
% 21.26/3.60  % (781509)Termination phase: Saturation
% 21.26/3.60  % (781509)Time elapsed: 0.499 s
% 21.26/3.60  % (781509)Peak memory usage: 14 MB
% 21.26/3.60  % (781509)Instructions burned: 1143 (million)
% 21.26/3.60  % (781539)Instruction limit reached! 
% 21.26/3.60  % (781539)------------------------------
% 21.26/3.60  % (781539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.60  % (781539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.60  % (781539)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781539)Termination reason: Instruction limit
% 21.26/3.60  % (781539)Termination phase: Saturation
% 21.26/3.60  % (781539)Time elapsed: 0.047 s
% 21.26/3.60  % (781539)Peak memory usage: 12 MB
% 21.26/3.60  % (781539)Instructions burned: 125 (million)
% 21.26/3.60  % (781543)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=806695400:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2969 on theBenchmark for (2969ds/282Mi)
% 21.26/3.60  % (781544)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3154944802:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 21.26/3.60  % (781544)Refutation not found, incomplete strategy
% 21.26/3.60  % (781544)------------------------------
% 21.26/3.60  % (781544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.60  % (781544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.60  % (781544)CaDiCaL version: 2.1.3
% 21.26/3.60  % (781544)Termination reason: Refutation not found, incomplete strategy
% 21.26/3.60  % (781544)Time elapsed: 0.001 s
% 21.26/3.60  % (781544)Peak memory usage: 11 MB
% 21.26/3.60  % (781544)Instructions burned: 1 (million)
% 21.26/3.60  % (781544)------------------------------
% 21.26/3.60  % (781544)------------------------------
% 21.26/3.60  % (781547)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=1445452024:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 21.92/3.85  % (781523)Instruction limit reached! 
% 21.92/3.85  % (781523)------------------------------
% 21.92/3.85  % (781523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.85  % (781523)CaDiCaL version: 2.1.3
% 21.92/3.85  % (781523)Termination reason: Instruction limit
% 21.92/3.85  % (781523)Termination phase: Saturation
% 21.92/3.85  % (781523)Time elapsed: 0.375 s
% 21.92/3.85  % (781523)Peak memory usage: 13 MB
% 21.92/3.85  % (781523)Instructions burned: 877 (million)
% 21.92/3.85  % (781541)Instruction limit reached! 
% 21.92/3.85  % (781541)------------------------------
% 21.92/3.85  % (781541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.85  % (781541)CaDiCaL version: 2.1.3
% 21.92/3.85  % (781541)Termination reason: Instruction limit
% 21.92/3.85  % (781541)Termination phase: Saturation
% 21.92/3.85  % (781541)Time elapsed: 0.081 s
% 21.92/3.85  % (781541)Peak memory usage: 13 MB
% 21.92/3.85  % (781541)Instructions burned: 226 (million)
% 21.92/3.85  % (781549)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=996214427:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 21.92/3.85  % (781547)Instruction limit reached! 
% 21.92/3.85  % (781547)------------------------------
% 21.92/3.85  % (781547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.85  % (781547)CaDiCaL version: 2.1.3
% 21.92/3.85  % (781547)Termination reason: Instruction limit
% 21.92/3.85  % (781547)Termination phase: Saturation
% 21.92/3.85  % (781547)Time elapsed: 0.040 s
% 21.92/3.85  % (781547)Peak memory usage: 12 MB
% 21.92/3.85  % (781547)Instructions burned: 91 (million)
% 21.92/3.85  % (781550)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 21.92/3.85  % (781550)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4027112327:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 21.92/3.85  % (781552)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 21.92/3.85  % (781552)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 21.92/3.85  % (781552)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=156131733:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 21.92/3.85  % (781552)Refutation not found, incomplete strategy
% 21.92/3.85  % (781552)------------------------------
% 21.92/3.85  % (781552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.85  % (781552)CaDiCaL version: 2.1.3
% 21.92/3.85  % (781552)Termination reason: Refutation not found, incomplete strategy
% 21.92/3.85  % (781552)Time elapsed: 0.001 s
% 21.92/3.85  % (781552)Peak memory usage: 12 MB
% 21.92/3.85  % (781552)------------------------------
% 21.92/3.85  % (781552)------------------------------
% 21.92/3.85  % (781535)Instruction limit reached! 
% 21.92/3.85  % (781535)------------------------------
% 21.92/3.85  % (781535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.85  % (781535)CaDiCaL version: 2.1.3
% 21.92/3.85  % (781535)Termination reason: Instruction limit
% 21.92/3.85  % (781535)Termination phase: Saturation
% 21.92/3.85  % (781535)Time elapsed: 0.234 s
% 21.92/3.85  % (781535)Peak memory usage: 12 MB
% 21.92/3.85  % (781535)Instructions burned: 324 (million)
% 21.92/3.85  % (781555)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=155710985:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 21.92/3.85  % (781555)Refutation not found, incomplete strategy
% 21.92/3.85  % (781555)------------------------------
% 21.92/3.85  % (781555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.85  % (781555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.26/4.18  % (781555)CaDiCaL version: 2.1.3
% 25.26/4.18  % (781555)Termination reason: Refutation not found, incomplete strategy
% 25.26/4.18  % (781555)Time elapsed: 0.001 s
% 25.26/4.18  % (781555)Peak memory usage: 11 MB
% 25.26/4.18  % (781555)Instructions burned: 1 (million)
% 25.26/4.18  % (781555)------------------------------
% 25.26/4.18  % (781555)------------------------------
% 25.26/4.18  % (781558)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 25.26/4.18  % (781558)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3411676318:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2968 on theBenchmark for (2968ds/39Mi)
% 25.26/4.18  % (781556)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3523977595:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 25.26/4.18  % (781558)Instruction limit reached! 
% 25.26/4.18  % (781558)------------------------------
% 25.26/4.18  % (781558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.26/4.18  % (781558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.26/4.18  % (781558)CaDiCaL version: 2.1.3
% 25.26/4.18  % (781558)Termination reason: Instruction limit
% 25.26/4.18  % (781558)Termination phase: Saturation
% 25.26/4.18  % (781558)Time elapsed: 0.020 s
% 25.26/4.18  % (781558)Peak memory usage: 12 MB
% 25.26/4.18  % (781558)Instructions burned: 40 (million)
% 25.26/4.18  % (781561)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1238572557:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/708Mi)
% 25.26/4.18  % (781549)Instruction limit reached! 
% 25.26/4.18  % (781549)------------------------------
% 25.26/4.18  % (781549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.26/4.18  % (781549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.26/4.18  % (781549)CaDiCaL version: 2.1.3
% 25.26/4.18  % (781549)Termination reason: Instruction limit
% 25.26/4.18  % (781549)Termination phase: Saturation
% 25.26/4.18  % (781549)Time elapsed: 0.136 s
% 25.26/4.18  % (781549)Peak memory usage: 12 MB
% 25.26/4.18  % (781549)Instructions burned: 281 (million)
% 25.26/4.18  % (781563)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
% 25.26/4.18  % (781543)Instruction limit reached! 
% 25.26/4.18  % (781543)------------------------------
% 25.26/4.18  % (781543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.26/4.18  % (781543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.26/4.18  % (781543)CaDiCaL version: 2.1.3
% 25.26/4.18  % (781543)Termination reason: Instruction limit
% 25.26/4.18  % (781543)Termination phase: Saturation
% 25.26/4.18  % (781543)Time elapsed: 0.218 s
% 25.26/4.18  % (781543)Peak memory usage: 13 MB
% 25.26/4.18  % (781543)Instructions burned: 282 (million)
% 25.26/4.18  % (781563)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=1222375714:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 25.26/4.18  % (781565)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1044309926:i=823:fsr=off:rtra=on_2967 on theBenchmark for (2967ds/823Mi)
% 25.26/4.18  % (781556)Instruction limit reached! 
% 25.26/4.18  % (781556)------------------------------
% 25.26/4.18  % (781556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.26/4.18  % (781556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.26/4.18  % (781556)CaDiCaL version: 2.1.3
% 25.26/4.18  % (781556)Termination reason: Instruction limit
% 25.26/4.18  % (781556)Termination phase: Saturation
% 25.26/4.18  % (781556)Time elapsed: 0.140 s
% 25.26/4.18  % (781556)Peak memory usage: 13 MB
% 25.26/4.18  % (781556)Instructions burned: 177 (million)
% 25.26/4.18  % (781567)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 25.26/4.18  % (781567)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2970566231:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/16202Mi)
% 25.26/4.18  % (781567)Refutation not found, incomplete strategy
% 24.89/4.24  % (781567)------------------------------
% 24.89/4.24  % (781567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.89/4.24  % (781567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.89/4.24  % (781567)CaDiCaL version: 2.1.3
% 24.89/4.24  % (781567)Termination reason: Refutation not found, incomplete strategy
% 24.89/4.24  % (781567)Time elapsed: 0.002 s
% 24.89/4.24  % (781567)Peak memory usage: 11 MB
% 24.89/4.24  % (781567)Instructions burned: 1 (million)
% 24.89/4.24  % (781567)------------------------------
% 24.89/4.24  % (781567)------------------------------
% 24.89/4.24  % (781563)Instruction limit reached! 
% 24.89/4.24  % (781563)------------------------------
% 24.89/4.24  % (781563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.89/4.24  % (781563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.89/4.24  % (781563)CaDiCaL version: 2.1.3
% 24.89/4.24  % (781563)Termination reason: Instruction limit
% 24.89/4.24  % (781563)Termination phase: Saturation
% 24.89/4.24  % (781563)Time elapsed: 0.116 s
% 24.89/4.24  % (781563)Peak memory usage: 12 MB
% 24.89/4.24  % (781563)Instructions burned: 254 (million)
% 24.89/4.24  % (781569)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=310537419:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/300Mi)
% 24.89/4.24  % (781570)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 24.89/4.24  % (781570)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 24.89/4.24  % (781570)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3762545834:i=177:add=on:bd=preordered:rtra=on:rawr=on_2966 on theBenchmark for (2966ds/177Mi)
% 24.89/4.24  % (781570)Instruction limit reached! 
% 24.89/4.24  % (781570)------------------------------
% 24.89/4.24  % (781570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.89/4.24  % (781570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.89/4.24  % (781570)CaDiCaL version: 2.1.3
% 24.89/4.24  % (781570)Termination reason: Instruction limit
% 24.89/4.24  % (781570)Termination phase: Saturation
% 24.89/4.24  % (781570)Time elapsed: 0.104 s
% 24.89/4.24  % (781570)Peak memory usage: 12 MB
% 24.89/4.24  % (781570)Instructions burned: 179 (million)
% 24.89/4.24  % (781573)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3963726631:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/715Mi)
% 24.89/4.24  % (781573)Refutation not found, incomplete strategy
% 24.89/4.24  % (781573)------------------------------
% 24.89/4.24  % (781573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.89/4.24  % (781573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.89/4.24  % (781573)CaDiCaL version: 2.1.3
% 24.89/4.24  % (781573)Termination reason: Refutation not found, incomplete strategy
% 24.89/4.24  % (781573)Time elapsed: 0.001 s
% 24.89/4.24  % (781573)Peak memory usage: 11 MB
% 24.89/4.24  % (781573)Instructions burned: 2 (million)
% 24.89/4.24  % (781573)------------------------------
% 24.89/4.24  % (781573)------------------------------
% 24.89/4.24  % (781575)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 24.89/4.24  % (781575)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 24.89/4.24  % (781575)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=130364206:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 24.89/4.24  % (781575)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 24.89/4.24  % (781561)Instruction limit reached! 
% 24.89/4.24  % (781561)------------------------------
% 24.89/4.24  % (781561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.89/4.24  % (781561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.89/4.24  % (781561)CaDiCaL version: 2.1.3
% 24.89/4.24  % (781561)Termination reason: Instruction limit
% 24.89/4.24  % (781561)Termination phase: Saturation
% 24.89/4.24  % (781561)Time elapsed: 0.394 s
% 24.89/4.24  % (781561)Peak memory usage: 13 MB
% 24.89/4.24  % (781561)Instructions burned: 709 (million)
% 25.87/4.35  % (781569)Instruction limit reached! 
% 25.87/4.35  % (781569)------------------------------
% 25.87/4.35  % (781569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.35  % (781569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.35  % (781569)CaDiCaL version: 2.1.3
% 25.87/4.35  % (781569)Termination reason: Instruction limit
% 25.87/4.35  % (781569)Termination phase: Saturation
% 25.87/4.35  % (781569)Time elapsed: 0.232 s
% 25.87/4.35  % (781569)Peak memory usage: 12 MB
% 25.87/4.35  % (781569)Instructions burned: 301 (million)
% 25.87/4.35  % (781577)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1141232135:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2963 on theBenchmark for (2963ds/606Mi)
% 25.87/4.35  % (781578)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 25.87/4.35  % (781578)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=744801542:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 25.87/4.35  % (781575)Instruction limit reached! 
% 25.87/4.35  % (781575)------------------------------
% 25.87/4.35  % (781575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.35  % (781575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.35  % (781575)CaDiCaL version: 2.1.3
% 25.87/4.35  % (781575)Termination reason: Instruction limit
% 25.87/4.35  % (781575)Termination phase: Saturation
% 25.87/4.35  % (781575)Time elapsed: 0.107 s
% 25.87/4.35  % (781575)Peak memory usage: 12 MB
% 25.87/4.35  % (781575)Instructions burned: 230 (million)
% 25.87/4.35  % (781581)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1827887867:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2962 on theBenchmark for (2962ds/445Mi)
% 25.87/4.35  % (781503)Instruction limit reached! 
% 25.87/4.35  % (781503)------------------------------
% 25.87/4.35  % (781503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.35  % (781503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.35  % (781503)CaDiCaL version: 2.1.3
% 25.87/4.35  % (781503)Termination reason: Instruction limit
% 25.87/4.35  % (781503)Termination phase: Saturation
% 25.87/4.35  % (781503)Time elapsed: 1.298 s
% 25.87/4.35  % (781503)Peak memory usage: 17 MB
% 25.87/4.35  % (781503)Instructions burned: 2241 (million)
% 25.87/4.35  % (781583)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2248998724:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/71Mi)
% 25.87/4.35  % (781583)Instruction limit reached! 
% 25.87/4.35  % (781583)------------------------------
% 25.87/4.35  % (781583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.35  % (781583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.35  % (781583)CaDiCaL version: 2.1.3
% 25.87/4.35  % (781583)Termination reason: Instruction limit
% 25.87/4.35  % (781583)Termination phase: Saturation
% 25.87/4.35  % (781583)Time elapsed: 0.037 s
% 25.87/4.35  % (781583)Peak memory usage: 12 MB
% 25.87/4.35  % (781583)Instructions burned: 71 (million)
% 25.87/4.35  % (781585)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
% 25.87/4.35  % (781585)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 25.87/4.35  % (781585)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1148477074:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2961 on theBenchmark for (2961ds/100Mi)
% 25.87/4.35  % (781585)Instruction limit reached! 
% 25.87/4.35  % (781585)------------------------------
% 25.87/4.35  % (781585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.87/4.35  % (781585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.87/4.35  % (781585)CaDiCaL version: 2.1.3
% 25.87/4.35  % (781585)Termination reason: Instruction limit
% 25.87/4.35  % (781585)Termination phase: Saturation
% 25.87/4.35  % (781585)Time elapsed: 0.044 s
% 25.87/4.35  % (781585)Peak memory usage: 12 MB
% 25.87/4.35  % (781585)Instructions burned: 101 (million)
% 25.87/4.35  % (781587)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 26.25/4.49  % (781587)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=2171646103:i=1352:add=on:aac=none:rtra=on_2960 on theBenchmark for (2960ds/1352Mi)
% 26.25/4.49  % (781587)Refutation not found, incomplete strategy
% 26.25/4.49  % (781587)------------------------------
% 26.25/4.49  % (781587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.49  % (781587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.49  % (781587)CaDiCaL version: 2.1.3
% 26.25/4.49  % (781587)Termination reason: Refutation not found, incomplete strategy
% 26.25/4.49  % (781587)Time elapsed: 0.002 s
% 26.25/4.49  % (781587)Peak memory usage: 11 MB
% 26.25/4.49  % (781587)Instructions burned: 3 (million)
% 26.25/4.49  % (781587)------------------------------
% 26.25/4.49  % (781587)------------------------------
% 26.25/4.49  % (781577)Instruction limit reached! 
% 26.25/4.49  % (781577)------------------------------
% 26.25/4.49  % (781577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.49  % (781577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.49  % (781577)CaDiCaL version: 2.1.3
% 26.25/4.49  % (781577)Termination reason: Instruction limit
% 26.25/4.49  % (781577)Termination phase: Saturation
% 26.25/4.49  % (781577)Time elapsed: 0.320 s
% 26.25/4.49  % (781577)Peak memory usage: 12 MB
% 26.25/4.49  % (781577)Instructions burned: 608 (million)
% 26.25/4.49  % (781565)Instruction limit reached! 
% 26.25/4.49  % (781565)------------------------------
% 26.25/4.49  % (781565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.49  % (781565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.49  % (781565)CaDiCaL version: 2.1.3
% 26.25/4.49  % (781565)Termination reason: Instruction limit
% 26.25/4.49  % (781565)Termination phase: Saturation
% 26.25/4.49  % (781565)Time elapsed: 0.650 s
% 26.25/4.49  % (781565)Peak memory usage: 13 MB
% 26.25/4.49  % (781565)Instructions burned: 823 (million)
% 26.25/4.49  % (781590)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=677728584:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 26.25/4.49  % (781590)Refutation not found, incomplete strategy
% 26.25/4.49  % (781590)------------------------------
% 26.25/4.49  % (781590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.49  % (781590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.49  % (781590)CaDiCaL version: 2.1.3
% 26.25/4.49  % (781590)Termination reason: Refutation not found, incomplete strategy
% 26.25/4.49  % (781590)Time elapsed: 0.0000 s
% 26.25/4.49  % (781590)Peak memory usage: 11 MB
% 26.25/4.49  % (781590)------------------------------
% 26.25/4.49  % (781590)------------------------------
% 26.25/4.49  % (781589)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=2567962510:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2960 on theBenchmark for (2960ds/646Mi)
% 26.25/4.49  % (781593)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1983782543:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 26.25/4.49  % (781591)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=907167422:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 26.25/4.49  % (781591)Refutation not found, incomplete strategy
% 26.25/4.49  % (781591)------------------------------
% 26.25/4.49  % (781591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.25/4.49  % (781591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.25/4.49  % (781591)CaDiCaL version: 2.1.3
% 26.25/4.49  % (781591)Termination reason: Refutation not found, incomplete strategy
% 26.25/4.49  % (781591)Time elapsed: 0.001 s
% 26.25/4.49  % (781591)Peak memory usage: 11 MB
% 26.25/4.49  % (781591)Instructions burned: 1 (million)
% 26.25/4.49  % (781591)------------------------------
% 26.25/4.49  % (781591)------------------------------
% 26.25/4.49  % (781597)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1127759810:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 26.25/4.49  % (781597)Refutation not found, incomplete strategy
% 27.29/4.68  % (781597)------------------------------
% 27.29/4.68  % (781597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.29/4.68  % (781597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.29/4.68  % (781597)CaDiCaL version: 2.1.3
% 27.29/4.68  % (781597)Termination reason: Refutation not found, incomplete strategy
% 27.29/4.68  % (781597)Time elapsed: 0.0000 s
% 27.29/4.68  % (781597)Peak memory usage: 11 MB
% 27.29/4.68  % (781597)------------------------------
% 27.29/4.68  % (781597)------------------------------
% 27.29/4.68  % (781581)Instruction limit reached! 
% 27.29/4.68  % (781581)------------------------------
% 27.29/4.68  % (781581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.29/4.68  % (781581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.29/4.68  % (781581)CaDiCaL version: 2.1.3
% 27.29/4.68  % (781581)Termination reason: Instruction limit
% 27.29/4.68  % (781581)Termination phase: Saturation
% 27.29/4.68  % (781581)Time elapsed: 0.298 s
% 27.29/4.68  % (781581)Peak memory usage: 14 MB
% 27.29/4.68  % (781581)Instructions burned: 445 (million)
% 27.29/4.68  % (781599)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 27.29/4.68  % (781599)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=1930898907:i=999:add=on:rtra=on_2959 on theBenchmark for (2959ds/999Mi)
% 27.29/4.68  % (781601)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.29/4.68  % (781601)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=3525975035:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2959 on theBenchmark for (2959ds/244Mi)
% 27.29/4.68  % (781601)Refutation not found, incomplete strategy
% 27.29/4.68  % (781601)------------------------------
% 27.29/4.68  % (781601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.29/4.68  % (781601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.29/4.68  % (781601)CaDiCaL version: 2.1.3
% 27.29/4.68  % (781601)Termination reason: Refutation not found, incomplete strategy
% 27.29/4.68  % (781601)Time elapsed: 0.002 s
% 27.29/4.68  % (781601)Peak memory usage: 11 MB
% 27.29/4.68  % (781601)Instructions burned: 2 (million)
% 27.29/4.68  % (781601)------------------------------
% 27.29/4.68  % (781601)------------------------------
% 27.29/4.68  % (781604)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3494606930:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/113Mi)
% 27.29/4.68  % (781604)Refutation not found, incomplete strategy
% 27.29/4.68  % (781604)------------------------------
% 27.29/4.68  % (781604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.29/4.68  % (781604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.29/4.68  % (781604)CaDiCaL version: 2.1.3
% 27.29/4.68  % (781604)Termination reason: Refutation not found, incomplete strategy
% 27.29/4.68  % (781604)Time elapsed: 0.001 s
% 27.29/4.68  % (781604)Peak memory usage: 11 MB
% 27.29/4.68  % (781604)Instructions burned: 1 (million)
% 27.29/4.68  % (781604)------------------------------
% 27.29/4.68  % (781604)------------------------------
% 27.29/4.68  % (781606)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2181258931:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/7795Mi)
% 27.29/4.68  % (781606)Refutation not found, incomplete strategy
% 27.29/4.68  % (781606)------------------------------
% 27.29/4.68  % (781606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.29/4.68  % (781606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.29/4.68  % (781606)CaDiCaL version: 2.1.3
% 27.29/4.68  % (781606)Termination reason: Refutation not found, incomplete strategy
% 27.29/4.68  % (781606)Time elapsed: 0.001 s
% 27.29/4.68  % (781606)Peak memory usage: 11 MB
% 27.29/4.68  % (781606)------------------------------
% 27.29/4.68  % (781606)------------------------------
% 27.29/4.68  % (781608)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2834397957:st=2:i=5026:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/5026Mi)
% 27.29/4.68  % (781608)Refutation not found, incomplete strategy
% 27.29/4.68  % (781608)------------------------------
% 28.60/4.94  % (781608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781608)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781608)Termination reason: Refutation not found, incomplete strategy
% 28.60/4.94  % (781608)Time elapsed: 0.001 s
% 28.60/4.94  % (781608)Peak memory usage: 11 MB
% 28.60/4.94  % (781608)------------------------------
% 28.60/4.94  % (781608)------------------------------
% 28.60/4.94  % (781610)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 28.60/4.94  % (781610)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1586148232:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2958 on theBenchmark for (2958ds/763Mi)
% 28.60/4.94  % (781610)Refutation not found, incomplete strategy
% 28.60/4.94  % (781610)------------------------------
% 28.60/4.94  % (781610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781610)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781610)Termination reason: Refutation not found, incomplete strategy
% 28.60/4.94  % (781610)Time elapsed: 0.001 s
% 28.60/4.94  % (781610)Peak memory usage: 11 MB
% 28.60/4.94  % (781610)Instructions burned: 1 (million)
% 28.60/4.94  % (781610)------------------------------
% 28.60/4.94  % (781610)------------------------------
% 28.60/4.94  % (781612)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2236314811:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2958 on theBenchmark for (2958ds/1144Mi)
% 28.60/4.94  % (781612)Refutation not found, incomplete strategy
% 28.60/4.94  % (781612)------------------------------
% 28.60/4.94  % (781612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781612)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781612)Termination reason: Refutation not found, incomplete strategy
% 28.60/4.94  % (781612)Time elapsed: 0.001 s
% 28.60/4.94  % (781612)Peak memory usage: 11 MB
% 28.60/4.94  % (781612)------------------------------
% 28.60/4.94  % (781612)------------------------------
% 28.60/4.94  % (781593)Instruction limit reached! 
% 28.60/4.94  % (781593)------------------------------
% 28.60/4.94  % (781593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781593)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781593)Termination reason: Instruction limit
% 28.60/4.94  % (781593)Termination phase: Saturation
% 28.60/4.94  % (781593)Time elapsed: 0.188 s
% 28.60/4.94  % (781593)Peak memory usage: 12 MB
% 28.60/4.94  % (781593)Instructions burned: 595 (million)
% 28.60/4.94  % (781614)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.60/4.94  % (781614)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=1566098252:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2958 on theBenchmark for (2958ds/52Mi)
% 28.60/4.94  % (781615)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2061068054:i=1724:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/1724Mi)
% 28.60/4.94  % (781614)Instruction limit reached! 
% 28.60/4.94  % (781614)------------------------------
% 28.60/4.94  % (781614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781614)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781614)Termination reason: Instruction limit
% 28.60/4.94  % (781614)Termination phase: Saturation
% 28.60/4.94  % (781614)Time elapsed: 0.045 s
% 28.60/4.94  % (781614)Peak memory usage: 12 MB
% 28.60/4.94  % (781614)Instructions burned: 53 (million)
% 28.60/4.94  % (781578)Instruction limit reached! 
% 28.60/4.94  % (781578)------------------------------
% 28.60/4.94  % (781578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.60/4.94  % (781578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.60/4.94  % (781578)CaDiCaL version: 2.1.3
% 28.60/4.94  % (781578)Termination reason: Instruction limit
% 28.60/4.94  % (781578)Termination phase: Saturation
% 28.60/4.94  % (781578)Time elapsed: 0.581 s
% 31.76/5.29  % (781578)Peak memory usage: 13 MB
% 31.76/5.29  % (781578)Instructions burned: 841 (million)
% 31.76/5.29  % (781618)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=54152818:i=439:add=on:slsql=off:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/439Mi)
% 31.76/5.29  % (781619)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=601484775:i=6395:sd=1:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/6395Mi)
% 31.76/5.29  % (781619)Refutation not found, incomplete strategy
% 31.76/5.29  % (781619)------------------------------
% 31.76/5.29  % (781619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.76/5.29  % (781619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.76/5.29  % (781619)CaDiCaL version: 2.1.3
% 31.76/5.29  % (781619)Termination reason: Refutation not found, incomplete strategy
% 31.76/5.29  % (781619)Time elapsed: 0.001 s
% 31.76/5.29  % (781619)Peak memory usage: 11 MB
% 31.76/5.29  % (781619)------------------------------
% 31.76/5.29  % (781619)------------------------------
% 31.76/5.29  % (781589)Instruction limit reached! 
% 31.76/5.29  % (781589)------------------------------
% 31.76/5.29  % (781589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.76/5.29  % (781589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.76/5.29  % (781589)CaDiCaL version: 2.1.3
% 31.76/5.29  % (781589)Termination reason: Instruction limit
% 31.76/5.29  % (781589)Termination phase: Saturation
% 31.76/5.29  % (781589)Time elapsed: 0.330 s
% 31.76/5.29  % (781589)Peak memory usage: 13 MB
% 31.76/5.29  % (781589)Instructions burned: 647 (million)
% 31.76/5.29  % (781622)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 31.76/5.29  % (781622)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2024702325:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/6762Mi)
% 31.76/5.29  % (781622)Refutation not found, incomplete strategy
% 31.76/5.29  % (781622)------------------------------
% 31.76/5.29  % (781622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.76/5.29  % (781622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.76/5.29  % (781622)CaDiCaL version: 2.1.3
% 31.76/5.29  % (781622)Termination reason: Refutation not found, incomplete strategy
% 31.76/5.29  % (781622)Time elapsed: 0.001 s
% 31.76/5.29  % (781622)Peak memory usage: 12 MB
% 31.76/5.29  % (781622)------------------------------
% 31.76/5.29  % (781622)------------------------------
% 31.76/5.29  % (781623)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 31.76/5.29  % (781625)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=2943660064:i=965:bd=all:ins=4:rtra=on_2956 on theBenchmark for (2956ds/965Mi)
% 31.76/5.29  % (781623)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=2410802908:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2957 on theBenchmark for (2957ds/376Mi)
% 31.76/5.29  % (781618)Instruction limit reached! 
% 31.76/5.29  % (781618)------------------------------
% 31.76/5.29  % (781618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.76/5.29  % (781618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.76/5.29  % (781618)CaDiCaL version: 2.1.3
% 31.76/5.29  % (781618)Termination reason: Instruction limit
% 31.76/5.29  % (781618)Termination phase: Saturation
% 31.76/5.29  % (781618)Time elapsed: 0.165 s
% 31.76/5.29  % (781618)Peak memory usage: 12 MB
% 31.76/5.29  % (781618)Instructions burned: 440 (million)
% 31.76/5.29  % (781628)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2739015047:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/5013Mi)
% 31.76/5.29  % (781628)Refutation not found, incomplete strategy
% 31.76/5.29  % (781628)------------------------------
% 31.76/5.29  % (781628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.76/5.29  % (781628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.76/5.29  % (781628)CaDiCaL version: 2.1.3
% 31.76/5.29  % (781628)Termination reason: Refutation not found, incomplete strategy
% 31.76/5.29  % (781628)Time elapsed: 0.001 s
% 31.76/5.29  % (781628)Peak memory usage: 11 MB
% 31.76/5.29  % (781628)------------------------------
% 32.51/5.43  % (781628)------------------------------
% 32.51/5.43  % (781599)Instruction limit reached! 
% 32.51/5.43  % (781599)------------------------------
% 32.51/5.43  % (781599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.51/5.43  % (781599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/5.43  % (781599)CaDiCaL version: 2.1.3
% 32.51/5.43  % (781599)Termination reason: Instruction limit
% 32.51/5.43  % (781599)Termination phase: Saturation
% 32.51/5.43  % (781599)Time elapsed: 0.426 s
% 32.51/5.43  % (781599)Peak memory usage: 14 MB
% 32.51/5.43  % (781599)Instructions burned: 1002 (million)
% 32.51/5.43  % (781630)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2443462444:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2955 on theBenchmark for (2955ds/1583Mi)
% 32.51/5.43  % (781631)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 32.51/5.43  % (781631)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 32.51/5.43  % (781631)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
% 32.51/5.43  % (781631)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 32.51/5.43  % (781631)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=1162400060: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_2955 on theBenchmark for (2955ds/1774Mi)
% 32.51/5.43  % (781631)Refutation not found, incomplete strategy
% 32.51/5.43  % (781631)------------------------------
% 32.51/5.43  % (781631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.51/5.43  % (781631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/5.43  % (781631)CaDiCaL version: 2.1.3
% 32.51/5.43  % (781631)Termination reason: Refutation not found, incomplete strategy
% 32.51/5.43  % (781631)Time elapsed: 0.001 s
% 32.51/5.43  % (781631)Peak memory usage: 11 MB
% 32.51/5.43  % (781631)------------------------------
% 32.51/5.43  % (781631)------------------------------
% 32.51/5.43  % (781634)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3037235927:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/515Mi)
% 32.51/5.43  % (781634)Refutation not found, incomplete strategy
% 32.51/5.43  % (781634)------------------------------
% 32.51/5.43  % (781634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.51/5.43  % (781634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/5.43  % (781634)CaDiCaL version: 2.1.3
% 32.51/5.43  % (781634)Termination reason: Refutation not found, incomplete strategy
% 32.51/5.43  % (781634)Time elapsed: 0.001 s
% 32.51/5.43  % (781634)Peak memory usage: 12 MB
% 32.51/5.43  % (781634)------------------------------
% 32.51/5.43  % (781634)------------------------------
% 32.51/5.43  % (781636)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
% 32.51/5.43  % (781636)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=386774219:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2955 on theBenchmark for (2955ds/1297Mi)
% 32.51/5.43  % (781623)Instruction limit reached! 
% 32.51/5.43  % (781623)------------------------------
% 32.51/5.43  % (781623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.51/5.43  % (781623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.51/5.43  % (781623)CaDiCaL version: 2.1.3
% 32.51/5.43  % (781623)Termination reason: Instruction limit
% 32.51/5.43  % (781623)Termination phase: Saturation
% 32.51/5.43  % (781623)Time elapsed: 0.329 s
% 32.51/5.43  % (781623)Peak memory usage: 13 MB
% 32.51/5.43  % (781623)Instructions burned: 376 (million)
% 32.51/5.43  % (781638)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=3235734153:s2a=on:i=611:rtra=on:gsp=on_2953 on theBenchmark for (2953ds/611Mi)
% 32.51/5.43  % (781638)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 33.52/5.61  % (781625)Instruction limit reached! 
% 33.52/5.61  % (781625)------------------------------
% 33.52/5.61  % (781625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.61  % (781625)CaDiCaL version: 2.1.3
% 33.52/5.61  % (781625)Termination reason: Instruction limit
% 33.52/5.61  % (781625)Termination phase: Saturation
% 33.52/5.61  % (781625)Time elapsed: 0.428 s
% 33.52/5.61  % (781625)Peak memory usage: 15 MB
% 33.52/5.61  % (781625)Instructions burned: 966 (million)
% 33.52/5.61  % (781640)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 33.52/5.61  % (781640)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3782200590:i=72:bd=all:rtra=on_2952 on theBenchmark for (2952ds/72Mi)
% 33.52/5.61  % (781640)Refutation not found, incomplete strategy
% 33.52/5.61  % (781640)------------------------------
% 33.52/5.61  % (781640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.61  % (781640)CaDiCaL version: 2.1.3
% 33.52/5.61  % (781640)Termination reason: Refutation not found, incomplete strategy
% 33.52/5.61  % (781640)Time elapsed: 0.001 s
% 33.52/5.61  % (781640)Peak memory usage: 11 MB
% 33.52/5.61  % (781640)Instructions burned: 1 (million)
% 33.52/5.61  % (781640)------------------------------
% 33.52/5.61  % (781640)------------------------------
% 33.52/5.61  % (781642)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=802997606:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2952 on theBenchmark for (2952ds/6580Mi)
% 33.52/5.61  % (781615)Instruction limit reached! 
% 33.52/5.61  % (781615)------------------------------
% 33.52/5.61  % (781615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.61  % (781615)CaDiCaL version: 2.1.3
% 33.52/5.61  % (781615)Termination reason: Instruction limit
% 33.52/5.61  % (781615)Termination phase: Saturation
% 33.52/5.61  % (781615)Time elapsed: 0.605 s
% 33.52/5.61  % (781615)Peak memory usage: 13 MB
% 33.52/5.61  % (781615)Instructions burned: 1724 (million)
% 33.52/5.61  % (781516)Instruction limit reached! 
% 33.52/5.61  % (781516)------------------------------
% 33.52/5.61  % (781516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.61  % (781516)CaDiCaL version: 2.1.3
% 33.52/5.61  % (781516)Termination reason: Instruction limit
% 33.52/5.61  % (781516)Termination phase: Saturation
% 33.52/5.61  % (781516)Time elapsed: 2.212 s
% 33.52/5.61  % (781516)Peak memory usage: 21 MB
% 33.52/5.61  % (781516)Instructions burned: 6360 (million)
% 33.52/5.61  % (781644)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1648945627:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2951 on theBenchmark for (2951ds/6209Mi)
% 33.52/5.61  % (781644)Refutation not found, incomplete strategy
% 33.52/5.61  % (781644)------------------------------
% 33.52/5.61  % (781644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.52/5.61  % (781644)CaDiCaL version: 2.1.3
% 33.52/5.61  % (781644)Termination reason: Refutation not found, incomplete strategy
% 33.52/5.61  % (781644)Time elapsed: 0.001 s
% 33.52/5.61  % (781644)Peak memory usage: 11 MB
% 33.52/5.61  % (781644)------------------------------
% 33.52/5.61  % (781644)------------------------------
% 33.52/5.61  % (781645)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2918776193:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2951 on theBenchmark for (2951ds/1003Mi)
% 33.52/5.61  % (781647)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 33.52/5.61  % (781647)ott+1002_16_sil=128000:si=on:random_seed=2325258241:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/409Mi)
% 33.52/5.61  % (781636)Instruction limit reached! 
% 33.52/5.61  % (781636)------------------------------
% 33.52/5.61  % (781636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.52/5.61  % (781636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781636)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781636)Termination reason: Instruction limit
% 33.98/6.03  % (781636)Termination phase: Saturation
% 33.98/6.03  % (781636)Time elapsed: 0.530 s
% 33.98/6.03  % (781636)Peak memory usage: 12 MB
% 33.98/6.03  % (781636)Instructions burned: 1299 (million)
% 33.98/6.03  % (781650)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=1288093536:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2949 on theBenchmark for (2949ds/403Mi)
% 33.98/6.03  % (781650)Refutation not found, incomplete strategy
% 33.98/6.03  % (781650)------------------------------
% 33.98/6.03  % (781650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.98/6.03  % (781650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781650)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781650)Termination reason: Refutation not found, incomplete strategy
% 33.98/6.03  % (781650)Time elapsed: 0.001 s
% 33.98/6.03  % (781650)Peak memory usage: 11 MB
% 33.98/6.03  % (781650)Instructions burned: 1 (million)
% 33.98/6.03  % (781650)------------------------------
% 33.98/6.03  % (781650)------------------------------
% 33.98/6.03  % (781652)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1385690805:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2949 on theBenchmark for (2949ds/6843Mi)
% 33.98/6.03  % (781652)Refutation not found, incomplete strategy
% 33.98/6.03  % (781652)------------------------------
% 33.98/6.03  % (781652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.98/6.03  % (781652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781652)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781652)Termination reason: Refutation not found, incomplete strategy
% 33.98/6.03  % (781652)Time elapsed: 0.001 s
% 33.98/6.03  % (781652)Peak memory usage: 11 MB
% 33.98/6.03  % (781652)Instructions burned: 1 (million)
% 33.98/6.03  % (781652)------------------------------
% 33.98/6.03  % (781652)------------------------------
% 33.98/6.03  % (781638)Instruction limit reached! 
% 33.98/6.03  % (781638)------------------------------
% 33.98/6.03  % (781638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.98/6.03  % (781638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781638)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781638)Termination reason: Instruction limit
% 33.98/6.03  % (781638)Termination phase: Saturation
% 33.98/6.03  % (781638)Time elapsed: 0.406 s
% 33.98/6.03  % (781638)Peak memory usage: 13 MB
% 33.98/6.03  % (781638)Instructions burned: 612 (million)
% 33.98/6.03  % (781654)lrs+10_2:1_si=on:random_seed=15657732:s2a=on:i=506:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/506Mi)
% 33.98/6.03  % (781655)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=2338483490:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2948 on theBenchmark for (2948ds/888Mi)
% 33.98/6.03  % (781550)Instruction limit reached! 
% 33.98/6.03  % (781550)------------------------------
% 33.98/6.03  % (781550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.98/6.03  % (781550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781550)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781550)Termination reason: Instruction limit
% 33.98/6.03  % (781550)Termination phase: Saturation
% 33.98/6.03  % (781550)Time elapsed: 2.045 s
% 33.98/6.03  % (781550)Peak memory usage: 16 MB
% 33.98/6.03  % (781550)Instructions burned: 4388 (million)
% 33.98/6.03  % (781630)Instruction limit reached! 
% 33.98/6.03  % (781630)------------------------------
% 33.98/6.03  % (781630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.98/6.03  % (781630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.98/6.03  % (781630)CaDiCaL version: 2.1.3
% 33.98/6.03  % (781630)Termination reason: Instruction limit
% 33.98/6.03  % (781630)Termination phase: Saturation
% 33.98/6.03  % (781630)Time elapsed: 0.716 s
% 33.98/6.03  % (781630)Peak memory usage: 13 MB
% 33.98/6.03  % (781630)Instructions burned: 1584 (million)
% 33.98/6.03  % (781658)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 33.98/6.03  % (781658)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=603722584:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2948 on theBenchmark for (2948ds/416Mi)
% 37.20/6.13  % (781659)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=3627921443: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_2948 on theBenchmark for (2948ds/13534Mi)
% 37.20/6.13  % (781659)Refutation not found, incomplete strategy
% 37.20/6.13  % (781659)------------------------------
% 37.20/6.13  % (781659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.20/6.13  % (781659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.20/6.13  % (781659)CaDiCaL version: 2.1.3
% 37.20/6.13  % (781659)Termination reason: Refutation not found, incomplete strategy
% 37.20/6.13  % (781659)Time elapsed: 0.001 s
% 37.20/6.13  % (781659)Peak memory usage: 11 MB
% 37.20/6.13  % (781659)------------------------------
% 37.20/6.13  % (781659)------------------------------
% 37.20/6.13  % (781662)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 37.20/6.13  % (781647)Instruction limit reached! 
% 37.20/6.13  % (781647)------------------------------
% 37.20/6.13  % (781647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.20/6.13  % (781647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.20/6.13  % (781647)CaDiCaL version: 2.1.3
% 37.20/6.13  % (781647)Termination reason: Instruction limit
% 37.20/6.13  % (781647)Termination phase: Saturation
% 37.20/6.13  % (781647)Time elapsed: 0.334 s
% 37.20/6.13  % (781647)Peak memory usage: 13 MB
% 37.20/6.13  % (781647)Instructions burned: 409 (million)
% 37.20/6.13  % (781662)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2175271314:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2948 on theBenchmark for (2948ds/206Mi)
% 37.20/6.13  % (781663)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=3946929888:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2947 on theBenchmark for (2947ds/2295Mi)
% 37.20/6.13  % (781662)Instruction limit reached! 
% 37.20/6.13  % (781662)------------------------------
% 37.20/6.13  % (781662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.20/6.13  % (781662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.20/6.13  % (781662)CaDiCaL version: 2.1.3
% 37.20/6.13  % (781662)Termination reason: Instruction limit
% 37.20/6.13  % (781662)Termination phase: Saturation
% 37.20/6.13  % (781662)Time elapsed: 0.078 s
% 37.20/6.13  % (781662)Peak memory usage: 12 MB
% 37.20/6.13  % (781662)Instructions burned: 207 (million)
% 37.20/6.13  % (781666)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=902152444:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2947 on theBenchmark for (2947ds/637Mi)
% 37.20/6.13  % (781654)Instruction limit reached! 
% 37.20/6.13  % (781654)------------------------------
% 37.20/6.13  % (781654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.20/6.13  % (781654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.20/6.13  % (781654)CaDiCaL version: 2.1.3
% 37.20/6.13  % (781654)Termination reason: Instruction limit
% 37.20/6.13  % (781654)Termination phase: Saturation
% 37.20/6.13  % (781654)Time elapsed: 0.207 s
% 37.20/6.13  % (781654)Peak memory usage: 12 MB
% 37.20/6.13  % (781654)Instructions burned: 506 (million)
% 37.20/6.13  % (781645)Instruction limit reached! 
% 37.20/6.13  % (781645)------------------------------
% 37.20/6.13  % (781645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.20/6.13  % (781645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.20/6.13  % (781645)CaDiCaL version: 2.1.3
% 37.20/6.13  % (781645)Termination reason: Instruction limit
% 37.20/6.13  % (781645)Termination phase: Saturation
% 37.20/6.13  % (781645)Time elapsed: 0.489 s
% 37.20/6.13  % (781645)Peak memory usage: 13 MB
% 37.20/6.13  % (781645)Instructions burned: 1004 (million)
% 37.20/6.13  % (781668)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3591902769:hsq=on:i=667:rtra=on:ixr=off_2946 on theBenchmark for (2946ds/667Mi)
% 37.20/6.13  % (781669)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3386156116:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2946 on theBenchmark for (2946ds/1801Mi)
% 39.74/6.88  % (781658)Instruction limit reached! 
% 39.74/6.88  % (781658)------------------------------
% 39.74/6.88  % (781658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.74/6.88  % (781658)CaDiCaL version: 2.1.3
% 39.74/6.88  % (781658)Termination reason: Instruction limit
% 39.74/6.88  % (781658)Termination phase: Saturation
% 39.74/6.88  % (781658)Time elapsed: 0.196 s
% 39.74/6.88  % (781658)Peak memory usage: 14 MB
% 39.74/6.88  % (781658)Instructions burned: 418 (million)
% 39.74/6.88  % (781672)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=2937818559:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2946 on theBenchmark for (2946ds/555Mi)
% 39.74/6.88  % (781672)Instruction limit reached! 
% 39.74/6.88  % (781672)------------------------------
% 39.74/6.88  % (781672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.74/6.88  % (781672)CaDiCaL version: 2.1.3
% 39.74/6.88  % (781672)Termination reason: Instruction limit
% 39.74/6.88  % (781672)Termination phase: Saturation
% 39.74/6.88  % (781672)Time elapsed: 0.211 s
% 39.74/6.88  % (781672)Peak memory usage: 11 MB
% 39.74/6.88  % (781672)Instructions burned: 556 (million)
% 39.74/6.88  % (781674)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=2337922944:i=88:s2at=3:nm=2:rtra=on:rawr=on_2943 on theBenchmark for (2943ds/88Mi)
% 39.74/6.88  % (781674)Instruction limit reached! 
% 39.74/6.88  % (781674)------------------------------
% 39.74/6.88  % (781674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.74/6.88  % (781674)CaDiCaL version: 2.1.3
% 39.74/6.88  % (781674)Termination reason: Instruction limit
% 39.74/6.88  % (781674)Termination phase: Saturation
% 39.74/6.88  % (781674)Time elapsed: 0.038 s
% 39.74/6.88  % (781674)Peak memory usage: 12 MB
% 39.74/6.88  % (781674)Instructions burned: 90 (million)
% 39.74/6.88  % (781676)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4079889478:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2943 on theBenchmark for (2943ds/280Mi)
% 39.74/6.88  % (781668)Instruction limit reached! 
% 39.74/6.88  % (781668)------------------------------
% 39.74/6.88  % (781668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.74/6.88  % (781668)CaDiCaL version: 2.1.3
% 39.74/6.88  % (781668)Termination reason: Instruction limit
% 39.74/6.88  % (781668)Termination phase: Saturation
% 39.74/6.88  % (781668)Time elapsed: 0.377 s
% 39.74/6.88  % (781668)Peak memory usage: 12 MB
% 39.74/6.88  % (781668)Instructions burned: 667 (million)
% 39.74/6.88  % (781666)Instruction limit reached! 
% 39.74/6.88  % (781666)------------------------------
% 39.74/6.88  % (781666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.74/6.88  % (781666)CaDiCaL version: 2.1.3
% 39.74/6.88  % (781666)Termination reason: Instruction limit
% 39.74/6.88  % (781666)Termination phase: Saturation
% 39.74/6.88  % (781666)Time elapsed: 0.450 s
% 39.74/6.88  % (781666)Peak memory usage: 13 MB
% 39.74/6.88  % (781666)Instructions burned: 638 (million)
% 39.74/6.88  % (781678)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=3609473728:s2a=on:i=3166:bd=preordered:rtra=on_2942 on theBenchmark for (2942ds/3166Mi)
% 39.74/6.88  % (781679)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 39.74/6.88  % (781679)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=3455227530:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2942 on theBenchmark for (2942ds/4201Mi)
% 39.74/6.88  % (781679)Refutation not found, incomplete strategy
% 39.74/6.88  % (781679)------------------------------
% 39.74/6.88  % (781679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.74/6.88  % (781679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/7.19  % (781679)CaDiCaL version: 2.1.3
% 45.01/7.19  % (781679)Termination reason: Refutation not found, incomplete strategy
% 45.01/7.19  % (781679)Time elapsed: 0.002 s
% 45.01/7.19  % (781679)Peak memory usage: 11 MB
% 45.01/7.19  % (781679)Instructions burned: 3 (million)
% 45.01/7.19  % (781679)------------------------------
% 45.01/7.19  % (781679)------------------------------
% 45.01/7.19  % (781682)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2746379279:i=2352:rtra=on:ixr=off_2942 on theBenchmark for (2942ds/2352Mi)
% 45.01/7.19  % (781655)Instruction limit reached! 
% 45.01/7.19  % (781655)------------------------------
% 45.01/7.19  % (781655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/7.19  % (781655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/7.19  % (781655)CaDiCaL version: 2.1.3
% 45.01/7.19  % (781655)Termination reason: Instruction limit
% 45.01/7.19  % (781655)Termination phase: Saturation
% 45.01/7.19  % (781655)Time elapsed: 0.695 s
% 45.01/7.19  % (781655)Peak memory usage: 12 MB
% 45.01/7.19  % (781655)Instructions burned: 888 (million)
% 45.01/7.19  % (781676)Instruction limit reached! 
% 45.01/7.19  % (781676)------------------------------
% 45.01/7.19  % (781676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/7.19  % (781676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/7.19  % (781676)CaDiCaL version: 2.1.3
% 45.01/7.19  % (781676)Termination reason: Instruction limit
% 45.01/7.19  % (781676)Termination phase: Saturation
% 45.01/7.19  % (781676)Time elapsed: 0.160 s
% 45.01/7.19  % (781676)Peak memory usage: 12 MB
% 45.01/7.19  % (781676)Instructions burned: 281 (million)
% 45.01/7.19  % (781684)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 45.01/7.19  % (781684)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=438824162:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2941 on theBenchmark for (2941ds/452Mi)
% 45.01/7.19  % (781684)Refutation not found, incomplete strategy
% 45.01/7.19  % (781684)------------------------------
% 45.01/7.19  % (781684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/7.19  % (781684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/7.19  % (781684)CaDiCaL version: 2.1.3
% 45.01/7.19  % (781684)Termination reason: Refutation not found, incomplete strategy
% 45.01/7.19  % (781684)Time elapsed: 0.001 s
% 45.01/7.19  % (781684)Peak memory usage: 12 MB
% 45.01/7.19  % (781684)Instructions burned: 1 (million)
% 45.01/7.19  % (781684)------------------------------
% 45.01/7.19  % (781684)------------------------------
% 45.01/7.19  % (781685)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 45.01/7.19  % (781685)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 45.01/7.19  % (781685)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=3260330237:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2941 on theBenchmark for (2941ds/483Mi)
% 45.01/7.19  % (781685)Refutation not found, incomplete strategy
% 45.01/7.19  % (781685)------------------------------
% 45.01/7.19  % (781685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/7.19  % (781685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/7.19  % (781685)CaDiCaL version: 2.1.3
% 45.01/7.19  % (781685)Termination reason: Refutation not found, incomplete strategy
% 45.01/7.19  % (781685)Time elapsed: 0.001 s
% 45.01/7.19  % (781685)Peak memory usage: 12 MB
% 45.01/7.19  % (781685)------------------------------
% 45.01/7.19  % (781685)------------------------------
% 45.01/7.19  % (781687)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2074279277:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2941 on theBenchmark for (2941ds/168Mi)
% 45.01/7.19  % (781689)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=2515946899: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_2941 on theBenchmark for (2941ds/17240Mi)
% 45.91/7.30  % (781687)Instruction limit reached! 
% 45.91/7.30  % (781687)------------------------------
% 45.91/7.30  % (781687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781687)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781687)Termination reason: Instruction limit
% 45.91/7.30  % (781687)Termination phase: Saturation
% 45.91/7.30  % (781687)Time elapsed: 0.077 s
% 45.91/7.30  % (781687)Peak memory usage: 12 MB
% 45.91/7.30  % (781687)Instructions burned: 169 (million)
% 45.91/7.30  % (781692)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2174161408:i=2022:fsr=off:rtra=on:ixr=off_2940 on theBenchmark for (2940ds/2022Mi)
% 45.91/7.30  % (781663)Instruction limit reached! 
% 45.91/7.30  % (781663)------------------------------
% 45.91/7.30  % (781663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781663)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781663)Termination reason: Instruction limit
% 45.91/7.30  % (781663)Termination phase: Saturation
% 45.91/7.30  % (781663)Time elapsed: 0.820 s
% 45.91/7.30  % (781663)Peak memory usage: 13 MB
% 45.91/7.30  % (781663)Instructions burned: 2298 (million)
% 45.91/7.30  % (781694)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=3302443346:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2939 on theBenchmark for (2939ds/2274Mi)
% 45.91/7.30  % (781669)Instruction limit reached! 
% 45.91/7.30  % (781669)------------------------------
% 45.91/7.30  % (781669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781669)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781669)Termination reason: Instruction limit
% 45.91/7.30  % (781669)Termination phase: Saturation
% 45.91/7.30  % (781669)Time elapsed: 0.916 s
% 45.91/7.30  % (781669)Peak memory usage: 15 MB
% 45.91/7.30  % (781669)Instructions burned: 1801 (million)
% 45.91/7.30  % (781696)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=951350611:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2937 on theBenchmark for (2937ds/555Mi)
% 45.91/7.30  % (781678)Instruction limit reached! 
% 45.91/7.30  % (781678)------------------------------
% 45.91/7.30  % (781678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781678)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781678)Termination reason: Instruction limit
% 45.91/7.30  % (781678)Termination phase: Saturation
% 45.91/7.30  % (781678)Time elapsed: 0.803 s
% 45.91/7.30  % (781678)Peak memory usage: 14 MB
% 45.91/7.30  % (781678)Instructions burned: 3170 (million)
% 45.91/7.30  % (781698)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=317266577:avsq=on:i=2220:rtra=on_2934 on theBenchmark for (2934ds/2220Mi)
% 45.91/7.30  % (781696)Instruction limit reached! 
% 45.91/7.30  % (781696)------------------------------
% 45.91/7.30  % (781696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781696)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781696)Termination reason: Instruction limit
% 45.91/7.30  % (781696)Termination phase: Saturation
% 45.91/7.30  % (781696)Time elapsed: 0.291 s
% 45.91/7.30  % (781696)Peak memory usage: 12 MB
% 45.91/7.30  % (781696)Instructions burned: 557 (million)
% 45.91/7.30  % (781700)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=811490360:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2933 on theBenchmark for (2933ds/715Mi)
% 45.91/7.30  % (781700)Refutation not found, incomplete strategy
% 45.91/7.30  % (781700)------------------------------
% 45.91/7.30  % (781700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.91/7.30  % (781700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.30  % (781700)CaDiCaL version: 2.1.3
% 45.91/7.30  % (781700)Termination reason: Refutation not found, incomplete strategy
% 45.91/7.30  % (781700)Time elapsed: 0.001 s
% 45.91/7.30  % (781700)Peak memory usage: 11 MB
% 45.91/7.30  % (781700)Instructions burned: 2 (million)
% 45.91/7.30  % (781700)------------------------------
% 45.91/7.30  % (781700)------------------------------
% 47.12/7.63  % (781702)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
% 47.12/7.63  % (781682)Instruction limit reached! 
% 47.12/7.63  % (781682)------------------------------
% 47.12/7.63  % (781682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.63  % (781682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.63  % (781682)CaDiCaL version: 2.1.3
% 47.12/7.63  % (781682)Termination reason: Instruction limit
% 47.12/7.63  % (781682)Termination phase: Saturation
% 47.12/7.63  % (781682)Time elapsed: 0.848 s
% 47.12/7.63  % (781682)Peak memory usage: 13 MB
% 47.12/7.63  % (781682)Instructions burned: 2354 (million)
% 47.12/7.63  % (781702)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1448365007:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2933 on theBenchmark for (2933ds/1979Mi)
% 47.12/7.63  % (781702)Refutation not found, incomplete strategy
% 47.12/7.63  % (781702)------------------------------
% 47.12/7.63  % (781702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.63  % (781702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.63  % (781702)CaDiCaL version: 2.1.3
% 47.12/7.63  % (781702)Termination reason: Refutation not found, incomplete strategy
% 47.12/7.63  % (781702)Time elapsed: 0.001 s
% 47.12/7.63  % (781702)Peak memory usage: 12 MB
% 47.12/7.63  % (781702)Instructions burned: 1 (million)
% 47.12/7.63  % (781702)------------------------------
% 47.12/7.63  % (781702)------------------------------
% 47.12/7.63  % (781703)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1771820242:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2933 on theBenchmark for (2933ds/28911Mi)
% 47.12/7.63  % (781703)Refutation not found, incomplete strategy
% 47.12/7.63  % (781703)------------------------------
% 47.12/7.63  % (781703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.63  % (781703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.63  % (781703)CaDiCaL version: 2.1.3
% 47.12/7.63  % (781703)Termination reason: Refutation not found, incomplete strategy
% 47.12/7.63  % (781703)Time elapsed: 0.001 s
% 47.12/7.63  % (781703)Peak memory usage: 11 MB
% 47.12/7.63  % (781703)------------------------------
% 47.12/7.63  % (781703)------------------------------
% 47.12/7.63  % (781705)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=4062389912:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2933 on theBenchmark for (2933ds/414Mi)
% 47.12/7.63  % (781705)Refutation not found, incomplete strategy
% 47.12/7.63  % (781705)------------------------------
% 47.12/7.63  % (781705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.63  % (781705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.63  % (781705)CaDiCaL version: 2.1.3
% 47.12/7.63  % (781705)Termination reason: Refutation not found, incomplete strategy
% 47.12/7.63  % (781705)Time elapsed: 0.002 s
% 47.12/7.63  % (781705)Peak memory usage: 11 MB
% 47.12/7.63  % (781705)Instructions burned: 3 (million)
% 47.12/7.63  % (781705)------------------------------
% 47.12/7.63  % (781705)------------------------------
% 47.12/7.63  % (781707)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2833149176: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)
% 47.12/7.63  % (781709)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 47.12/7.63  % (781709)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=154298796:lrd=on:i=841:nm=0:rtra=on_2933 on theBenchmark for (2933ds/841Mi)
% 47.12/7.63  % (781707)Instruction limit reached! 
% 47.12/7.63  % (781707)------------------------------
% 47.12/7.63  % (781707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.63  % (781707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.63  % (781707)CaDiCaL version: 2.1.3
% 47.12/7.63  % (781707)Termination reason: Instruction limit
% 47.12/7.63  % (781707)Termination phase: Saturation
% 47.12/7.63  % (781707)Time elapsed: 0.253 s
% 47.12/7.63  % (781707)Peak memory usage: 12 MB
% 52.17/8.22  % (781707)Instructions burned: 430 (million)
% 52.17/8.22  % (781716)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2342634301:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2930 on theBenchmark for (2930ds/445Mi)
% 52.17/8.22  % (781692)Instruction limit reached! 
% 52.17/8.22  % (781692)------------------------------
% 52.17/8.22  % (781692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.17/8.22  % (781692)CaDiCaL version: 2.1.3
% 52.17/8.22  % (781692)Termination reason: Instruction limit
% 52.17/8.22  % (781692)Termination phase: Saturation
% 52.17/8.22  % (781692)Time elapsed: 0.995 s
% 52.17/8.22  % (781692)Peak memory usage: 13 MB
% 52.17/8.22  % (781692)Instructions burned: 2023 (million)
% 52.17/8.22  % (781718)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=3605940052:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2930 on theBenchmark for (2930ds/1324Mi)
% 52.17/8.22  % (781718)Refutation not found, incomplete strategy
% 52.17/8.22  % (781718)------------------------------
% 52.17/8.22  % (781718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.17/8.22  % (781718)CaDiCaL version: 2.1.3
% 52.17/8.22  % (781718)Termination reason: Refutation not found, incomplete strategy
% 52.17/8.22  % (781718)Time elapsed: 0.001 s
% 52.17/8.22  % (781718)Peak memory usage: 11 MB
% 52.17/8.22  % (781718)Instructions burned: 1 (million)
% 52.17/8.22  % (781718)------------------------------
% 52.17/8.22  % (781718)------------------------------
% 52.17/8.22  % (781698)Instruction limit reached! 
% 52.17/8.22  % (781698)------------------------------
% 52.17/8.22  % (781698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.17/8.22  % (781698)CaDiCaL version: 2.1.3
% 52.17/8.22  % (781698)Termination reason: Instruction limit
% 52.17/8.22  % (781698)Termination phase: Saturation
% 52.17/8.22  % (781698)Time elapsed: 0.411 s
% 52.17/8.22  % (781698)Peak memory usage: 13 MB
% 52.17/8.22  % (781698)Instructions burned: 2221 (million)
% 52.17/8.22  % (781721)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=852209250:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2929 on theBenchmark for (2929ds/4070Mi)
% 52.17/8.22  % (781720)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=1025292443:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2930 on theBenchmark for (2930ds/5401Mi)
% 52.17/8.22  % (781720)Refutation not found, incomplete strategy
% 52.17/8.22  % (781720)------------------------------
% 52.17/8.22  % (781720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.17/8.22  % (781720)CaDiCaL version: 2.1.3
% 52.17/8.22  % (781720)Termination reason: Refutation not found, incomplete strategy
% 52.17/8.22  % (781720)Time elapsed: 0.0000 s
% 52.17/8.22  % (781720)Peak memory usage: 11 MB
% 52.17/8.22  % (781720)------------------------------
% 52.17/8.22  % (781720)------------------------------
% 52.17/8.22  % (781724)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1788180292:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2929 on theBenchmark for (2929ds/984Mi)
% 52.17/8.22  % (781724)Refutation not found, incomplete strategy
% 52.17/8.22  % (781724)------------------------------
% 52.17/8.22  % (781724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.17/8.22  % (781724)CaDiCaL version: 2.1.3
% 52.17/8.22  % (781724)Termination reason: Refutation not found, incomplete strategy
% 52.17/8.22  % (781724)Time elapsed: 0.001 s
% 52.17/8.22  % (781724)Peak memory usage: 11 MB
% 52.17/8.22  % (781724)Instructions burned: 1 (million)
% 52.17/8.22  % (781724)------------------------------
% 52.17/8.22  % (781724)------------------------------
% 52.17/8.22  % (781726)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2133956062:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2929 on theBenchmark for (2929ds/112Mi)
% 52.17/8.22  % (781726)Refutation not found, incomplete strategy
% 52.17/8.22  % (781726)------------------------------
% 52.17/8.22  % (781726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.17/8.22  % (781726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781726)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781726)Termination reason: Refutation not found, incomplete strategy
% 59.75/9.31  % (781726)Time elapsed: 0.001 s
% 59.75/9.31  % (781726)Peak memory usage: 11 MB
% 59.75/9.31  % (781726)Instructions burned: 1 (million)
% 59.75/9.31  % (781726)------------------------------
% 59.75/9.31  % (781726)------------------------------
% 59.75/9.31  % (781694)Instruction limit reached! 
% 59.75/9.31  % (781694)------------------------------
% 59.75/9.31  % (781694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.75/9.31  % (781694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781694)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781694)Termination reason: Instruction limit
% 59.75/9.31  % (781694)Termination phase: Saturation
% 59.75/9.31  % (781694)Time elapsed: 0.995 s
% 59.75/9.31  % (781694)Peak memory usage: 17 MB
% 59.75/9.31  % (781694)Instructions burned: 2274 (million)
% 59.75/9.31  % (781728)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3254956985:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2929 on theBenchmark for (2929ds/1144Mi)
% 59.75/9.31  % (781728)Refutation not found, incomplete strategy
% 59.75/9.31  % (781728)------------------------------
% 59.75/9.31  % (781728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.75/9.31  % (781728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781728)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781728)Termination reason: Refutation not found, incomplete strategy
% 59.75/9.31  % (781728)Time elapsed: 0.001 s
% 59.75/9.31  % (781728)Peak memory usage: 11 MB
% 59.75/9.31  % (781728)------------------------------
% 59.75/9.31  % (781728)------------------------------
% 59.75/9.31  % (781729)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=1443484351:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2929 on theBenchmark for (2929ds/1352Mi)
% 59.75/9.31  % (781731)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=3457249366:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2929 on theBenchmark for (2929ds/693Mi)
% 59.75/9.31  % (781716)Instruction limit reached! 
% 59.75/9.31  % (781716)------------------------------
% 59.75/9.31  % (781716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.75/9.31  % (781716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781716)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781716)Termination reason: Instruction limit
% 59.75/9.31  % (781716)Termination phase: Saturation
% 59.75/9.31  % (781716)Time elapsed: 0.223 s
% 59.75/9.31  % (781716)Peak memory usage: 14 MB
% 59.75/9.31  % (781716)Instructions burned: 447 (million)
% 59.75/9.31  % (781734)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=1593727780:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2928 on theBenchmark for (2928ds/908Mi)
% 59.75/9.31  % (781709)Instruction limit reached! 
% 59.75/9.31  % (781709)------------------------------
% 59.75/9.31  % (781709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.75/9.31  % (781709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781709)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781709)Termination reason: Instruction limit
% 59.75/9.31  % (781709)Termination phase: Saturation
% 59.75/9.31  % (781709)Time elapsed: 0.598 s
% 59.75/9.31  % (781709)Peak memory usage: 13 MB
% 59.75/9.31  % (781709)Instructions burned: 842 (million)
% 59.75/9.31  % (781736)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=1172397792:i=6901:add=on:slsql=off:rtra=on:ntd=on_2926 on theBenchmark for (2926ds/6901Mi)
% 59.75/9.31  % (781731)Instruction limit reached! 
% 59.75/9.31  % (781731)------------------------------
% 59.75/9.31  % (781731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.75/9.31  % (781731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.75/9.31  % (781731)CaDiCaL version: 2.1.3
% 59.75/9.31  % (781731)Termination reason: Instruction limit
% 59.75/9.31  % (781731)Termination phase: Saturation
% 59.75/9.31  % (781731)Time elapsed: 0.263 s
% 59.75/9.31  % (781731)Peak memory usage: 12 MB
% 59.75/9.31  % (781731)Instructions burned: 695 (million)
% 59.75/9.31  % (781738)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3790496490:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2926 on theBenchmark for (2926ds/3621Mi)
% 64.90/10.10  % (781729)Instruction limit reached! 
% 64.90/10.10  % (781729)------------------------------
% 64.90/10.10  % (781729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.90/10.10  % (781729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.90/10.10  % (781729)CaDiCaL version: 2.1.3
% 64.90/10.10  % (781729)Termination reason: Instruction limit
% 64.90/10.10  % (781729)Termination phase: Saturation
% 64.90/10.10  % (781729)Time elapsed: 0.481 s
% 64.90/10.10  % (781729)Peak memory usage: 13 MB
% 64.90/10.10  % (781729)Instructions burned: 1354 (million)
% 64.90/10.10  % (781740)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=405087012:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2924 on theBenchmark for (2924ds/1160Mi)
% 64.90/10.10  % (781740)Refutation not found, incomplete strategy
% 64.90/10.10  % (781740)------------------------------
% 64.90/10.10  % (781740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.90/10.10  % (781740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.90/10.10  % (781740)CaDiCaL version: 2.1.3
% 64.90/10.10  % (781740)Termination reason: Refutation not found, incomplete strategy
% 64.90/10.10  % (781740)Time elapsed: 0.002 s
% 64.90/10.10  % (781740)Peak memory usage: 11 MB
% 64.90/10.10  % (781740)Instructions burned: 3 (million)
% 64.90/10.10  % (781740)------------------------------
% 64.90/10.10  % (781740)------------------------------
% 64.90/10.10  % (781742)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=4007702161:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2924 on theBenchmark for (2924ds/570Mi)
% 64.90/10.10  % (781734)Instruction limit reached! 
% 64.90/10.10  % (781734)------------------------------
% 64.90/10.10  % (781734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.90/10.10  % (781734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.90/10.10  % (781734)CaDiCaL version: 2.1.3
% 64.90/10.10  % (781734)Termination reason: Instruction limit
% 64.90/10.10  % (781734)Termination phase: Saturation
% 64.90/10.10  % (781734)Time elapsed: 0.588 s
% 64.90/10.10  % (781734)Peak memory usage: 15 MB
% 64.90/10.10  % (781734)Instructions burned: 908 (million)
% 64.90/10.10  % (781744)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=1953842980:i=324:bd=all:ins=4:rtra=on_2921 on theBenchmark for (2921ds/324Mi)
% 64.90/10.10  % (781742)Instruction limit reached! 
% 64.90/10.10  % (781742)------------------------------
% 64.90/10.10  % (781742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.90/10.10  % (781742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.90/10.10  % (781742)CaDiCaL version: 2.1.3
% 64.90/10.10  % (781742)Termination reason: Instruction limit
% 64.90/10.10  % (781742)Termination phase: Saturation
% 64.90/10.10  % (781742)Time elapsed: 0.267 s
% 64.90/10.10  % (781742)Peak memory usage: 14 MB
% 64.90/10.10  % (781742)Instructions burned: 572 (million)
% 64.90/10.10  % (781746)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=1257592993:s2a=on:i=5712:rtra=on_2921 on theBenchmark for (2921ds/5712Mi)
% 64.90/10.10  % (781744)Instruction limit reached! 
% 64.90/10.10  % (781744)------------------------------
% 64.90/10.10  % (781744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.90/10.10  % (781744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.90/10.10  % (781744)CaDiCaL version: 2.1.3
% 64.90/10.10  % (781744)Termination reason: Instruction limit
% 64.90/10.10  % (781744)Termination phase: Saturation
% 64.90/10.10  % (781744)Time elapsed: 0.139 s
% 64.90/10.10  % (781744)Peak memory usage: 14 MB
% 64.90/10.10  % (781744)Instructions burned: 325 (million)
% 64.90/10.10  % (781748)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 64.90/10.10  % (781748)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 64.90/10.10  % (781748)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=1613690724:i=901:rtra=on:fsd=on_2920 on theBenchmark for (2920ds/901Mi)
% 67.72/10.58  % (781721)Instruction limit reached! 
% 67.72/10.58  % (781721)------------------------------
% 67.72/10.58  % (781721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781721)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781721)Termination reason: Instruction limit
% 67.72/10.58  % (781721)Termination phase: Saturation
% 67.72/10.58  % (781721)Time elapsed: 1.244 s
% 67.72/10.58  % (781721)Peak memory usage: 18 MB
% 67.72/10.58  % (781721)Instructions burned: 4072 (million)
% 67.72/10.58  % (781750)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=926560318:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2917 on theBenchmark for (2917ds/2961Mi)
% 67.72/10.58  % (781750)Refutation not found, incomplete strategy
% 67.72/10.58  % (781750)------------------------------
% 67.72/10.58  % (781750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781750)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781750)Termination reason: Refutation not found, incomplete strategy
% 67.72/10.58  % (781750)Time elapsed: 0.005 s
% 67.72/10.58  % (781750)Peak memory usage: 11 MB
% 67.72/10.58  % (781750)------------------------------
% 67.72/10.58  % (781750)------------------------------
% 67.72/10.58  % (781752)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=2176998614:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2916 on theBenchmark for (2916ds/3526Mi)
% 67.72/10.58  % (781748)Instruction limit reached! 
% 67.72/10.58  % (781748)------------------------------
% 67.72/10.58  % (781748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781748)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781748)Termination reason: Instruction limit
% 67.72/10.58  % (781748)Termination phase: Saturation
% 67.72/10.58  % (781748)Time elapsed: 0.423 s
% 67.72/10.58  % (781748)Peak memory usage: 12 MB
% 67.72/10.58  % (781748)Instructions burned: 902 (million)
% 67.72/10.58  % (781754)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=1601758488:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2915 on theBenchmark for (2915ds/3368Mi)
% 67.72/10.58  % (781754)Refutation not found, incomplete strategy
% 67.72/10.58  % (781754)------------------------------
% 67.72/10.58  % (781754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781754)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781754)Termination reason: Refutation not found, incomplete strategy
% 67.72/10.58  % (781754)Time elapsed: 0.005 s
% 67.72/10.58  % (781754)Peak memory usage: 11 MB
% 67.72/10.58  % (781754)------------------------------
% 67.72/10.58  % (781754)------------------------------
% 67.72/10.58  % (781756)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=2246110018:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2915 on theBenchmark for (2915ds/20626Mi)
% 67.72/10.58  % (781642)Instruction limit reached! 
% 67.72/10.58  % (781642)------------------------------
% 67.72/10.58  % (781642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781642)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781642)Termination reason: Instruction limit
% 67.72/10.58  % (781642)Termination phase: Saturation
% 67.72/10.58  % (781642)Time elapsed: 4.120 s
% 67.72/10.58  % (781642)Peak memory usage: 22 MB
% 67.72/10.58  % (781642)Instructions burned: 6581 (million)
% 67.72/10.58  % (781758)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=473880394:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2910 on theBenchmark for (2910ds/27154Mi)
% 67.72/10.58  % (781736)Instruction limit reached! 
% 67.72/10.58  % (781736)------------------------------
% 67.72/10.58  % (781736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781736)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781736)Termination reason: Instruction limit
% 67.72/10.58  % (781736)Termination phase: Saturation
% 67.72/10.58  % (781736)Time elapsed: 1.732 s
% 67.72/10.58  % (781736)Peak memory usage: 14 MB
% 67.72/10.58  % (781736)Instructions burned: 6908 (million)
% 67.72/10.58  % (781760)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=316913161:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2909 on theBenchmark for (2909ds/515Mi)
% 67.72/10.58  % (781760)Refutation not found, incomplete strategy
% 67.72/10.58  % (781760)------------------------------
% 67.72/10.58  % (781760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781760)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781760)Termination reason: Refutation not found, incomplete strategy
% 67.72/10.58  % (781760)Time elapsed: 0.0000 s
% 67.72/10.58  % (781760)Peak memory usage: 12 MB
% 67.72/10.58  % (781760)------------------------------
% 67.72/10.58  % (781760)------------------------------
% 67.72/10.58  % (781762)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1221969827:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2909 on theBenchmark for (2909ds/2653Mi)
% 67.72/10.58  % (781738)Instruction limit reached! 
% 67.72/10.58  % (781738)------------------------------
% 67.72/10.58  % (781738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781738)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781738)Termination reason: Instruction limit
% 67.72/10.58  % (781738)Termination phase: Saturation
% 67.72/10.58  % (781738)Time elapsed: 1.754 s
% 67.72/10.58  % (781738)Peak memory usage: 17 MB
% 67.72/10.58  % (781738)Instructions burned: 3622 (million)
% 67.72/10.58  % (781764)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
% 67.72/10.58  % (781764)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=228698006:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2908 on theBenchmark for (2908ds/1297Mi)
% 67.72/10.58  % (781764)Instruction limit reached! 
% 67.72/10.58  % (781764)------------------------------
% 67.72/10.58  % (781764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781764)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781764)Termination reason: Instruction limit
% 67.72/10.58  % (781764)Termination phase: Saturation
% 67.72/10.58  % (781764)Time elapsed: 0.478 s
% 67.72/10.58  % (781764)Peak memory usage: 13 MB
% 67.72/10.58  % (781764)Instructions burned: 1299 (million)
% 67.72/10.58  % (781766)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=3254938845:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2903 on theBenchmark for (2903ds/1950Mi)
% 67.72/10.58  % (781762)Instruction limit reached! 
% 67.72/10.58  % (781762)------------------------------
% 67.72/10.58  % (781762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781762)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781762)Termination reason: Instruction limit
% 67.72/10.58  % (781762)Termination phase: Saturation
% 67.72/10.58  % (781762)Time elapsed: 0.587 s
% 67.72/10.58  % (781762)Peak memory usage: 14 MB
% 67.72/10.58  % (781762)Instructions burned: 2655 (million)
% 67.72/10.58  % (781768)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=265508669:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2903 on theBenchmark for (2903ds/2818Mi)
% 67.72/10.58  % (781752)Instruction limit reached! 
% 67.72/10.58  % (781752)------------------------------
% 67.72/10.58  % (781752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781752)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781752)Termination reason: Instruction limit
% 67.72/10.58  % (781752)Termination phase: Saturation
% 67.72/10.58  % (781752)Time elapsed: 1.498 s
% 67.72/10.58  % (781752)Peak memory usage: 14 MB
% 67.72/10.58  % (781752)Instructions burned: 3526 (million)
% 67.72/10.58  % (781771)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=819484247:s2a=on:i=573:rtra=on:gsp=on_2901 on theBenchmark for (2901ds/573Mi)
% 67.72/10.58  % (781771)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 67.72/10.58  % (781771)Instruction limit reached! 
% 67.72/10.58  % (781771)------------------------------
% 67.72/10.58  % (781771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781771)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781771)Termination reason: Instruction limit
% 67.72/10.58  % (781771)Termination phase: Saturation
% 67.72/10.58  % (781771)Time elapsed: 0.195 s
% 67.72/10.58  % (781771)Peak memory usage: 12 MB
% 67.72/10.58  % (781771)Instructions burned: 574 (million)
% 67.72/10.58  % (781773)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=967599448:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2899 on theBenchmark for (2899ds/9598Mi)
% 67.72/10.58  % (781746)Instruction limit reached! 
% 67.72/10.58  % (781746)------------------------------
% 67.72/10.58  % (781746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781746)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781746)Termination reason: Instruction limit
% 67.72/10.58  % (781746)Termination phase: Saturation
% 67.72/10.58  % (781746)Time elapsed: 2.249 s
% 67.72/10.58  % (781746)Peak memory usage: 15 MB
% 67.72/10.58  % (781746)Instructions burned: 5715 (million)
% 67.72/10.58  % (781775)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 67.72/10.58  % (781775)ott+1002_16_sil=128000:si=on:random_seed=3681564116:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2898 on theBenchmark for (2898ds/409Mi)
% 67.72/10.58  % (781756) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-781188-781756"...
% 67.72/10.58  % (781775)Instruction limit reached! 
% 67.72/10.58  % (781775)------------------------------
% 67.72/10.58  % (781775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781775)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781775)Termination reason: Instruction limit
% 67.72/10.58  % (781775)Termination phase: Saturation
% 67.72/10.58  % (781775)Time elapsed: 0.151 s
% 67.72/10.58  % (781775)Peak memory usage: 12 MB
% 67.72/10.58  % (781775)Instructions burned: 412 (million)
% 67.72/10.58  % (781768)Instruction limit reached! 
% 67.72/10.58  % (781768)------------------------------
% 67.72/10.58  % (781768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.72/10.58  % (781768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.72/10.58  % (781768)CaDiCaL version: 2.1.3
% 67.72/10.58  % (781768)Termination reason: Instruction limit
% 67.72/10.58  % (781768)Termination phase: Saturation
% 67.72/10.58  % (781768)Time elapsed: 0.631 s
% 67.72/10.58  % (781768)Peak memory usage: 13 MB
% 67.72/10.58  % (781768)Instructions burned: 2821 (million)
% 67.72/10.58  % (781756)...printing done.
% 67.72/10.58  % (781756)Refutation found. Thanks to Tanya!
% 67.72/10.58  % SZS status Unsatisfiable for theBenchmark
% 67.72/10.58  % SZS output start Proof for theBenchmark
% See solution above
% 68.63/10.61  % (781756)------------------------------
% 68.63/10.61  % (781756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.63/10.61  % (781756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.63/10.61  % (781756)CaDiCaL version: 2.1.3
% 68.63/10.61  % (781756)Termination reason: Refutation
% 68.63/10.61  % (781756)Time elapsed: 1.854 s
% 68.63/10.61  % (781756)Peak memory usage: 16 MB
% 68.63/10.61  % (781756)Instructions burned: 2387 (million)
% 68.63/10.61  % (781188)Success in time 10.356 s
% 68.63/10.61  % Vampire exiting
%------------------------------------------------------------------------------